33
' l i § :-' : Á- -·⁰ -·⅔ ' ·: . · . . . . .. . . . ⁵·- . . . . · © - - -⁸ . .. ' . . . - . . '1 · : · A---- ·⅓ . . _. . ':_. ·. ·:: . . · A U GUST 196 0 . · · ,. ·,_ - . . . · . : . '-. :, ·_·· : .. ;·_··· ; . . ' . ; _ . . . . · Wil YI . · . ' . '. ' :: . .. '⅞ ., ··. . · . . . ' · . · . . . _ ._. . . a WILLIAAJ LLYD . ·.;·· · . RESEARCH PAPER 36 . . ., ' . · . . -:.- ·" . . . . ' ' ;. . ·, ·- · GEORE R. SEBLER - ;,,•, "ACIIC NORTST .. FOREST AND RANGE EXPERIMENT STATION US. DEPt OF AGRICULTURE FOREST SERVICE

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Page 1: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

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middot middot ---- middot _ _ middot middot middotAUGUST 1960 middotmiddot middot_

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WiillllWLU YIIIEJL]J) middot middot

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middot middot _ _

arzd WILLIAA4J LLOYD

middotmiddotmiddot middot RESEARCH PAPER 36

middot

-- middotmiddot

middot middot- middot GEORGE R STAEBLER--

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PACIFIC NORTHWEST FOREST AND RANGE EXPERIMENT STATION

US DEPt OF AGRICULTURE FOREST SERVICEbull

middot

middot r

)InitiaJ in followi g

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middotmiddot middotr middot middot middot _middot-middot middotmiddot middotmiddot )middot _

middot middotmiddotmiddot

middot middotmiddotmiddot

impetus developingth e red aider yield tables was _provided by the members of the Olytllpia Research Center Adshy middoth middotvisoryConimittee William J middotLloydmiddot Lau ence 0 Barrett Royce 0 Co]nelius GilbertE Liming and LmiddotT Webster Site derivation and

preliminary phases of yield table construction were largely the work of middot middotmiddot Daniel M Bishop who was closely associated with the project in its middot early stages The lengthy task of machine computation and subsequent

analysis was chfefly the work ofDorothy middotMartinmiddot Basicmiddot plot data with- out which the prqject would not have be n possible middotwe e contdbuted by middot repres n-tatives of both private industry and public agercies In addition

middotmiddot

to the ExperiIllent Stations Corvallis and Olympia Research Centers these representatives were

middotgtBloedel Timberla d

middotmiddot gt middot

middotBritish Columbia Forest Se vice Crown Zellerbach Corp bullbullbull bull middot middot middot

middotmiddotmiddotmiddot Fibreboard Products Inc middotbull middotGifford Pinchot Natio l Forest

middot Kaiser Gypsum Co Longview Fibre Co bull Milwaukee Land Co Mount Baker National Forest

Northern Jacific Railway Co Olympic National Forest Pope amp Talbot Inc Puget Sound Pulp amp Timber Co middot Rayonier Inc St Paul amp Tacoma Lumber Co middotSt Regis Paper Co

middot Scott Paper Co middot middot middot Seattle Water Departrilent

middot middot Simpsqn Logging Co middot bull Snoqualmie National Forest

US Bureau of Land Management US Soil Conservation Service Washington State Department of Natural Resources Western Washington Indian Agency West Tacoma Newsprint Co Weyerhaeuser Co Willapa Valley Water District

-

Research Paper 36

middotmiddot -

NORMAL YIELD TABLES FOR RED ALDER

by

Norman P Worthington and Floyd A Johnson Pacific Northwest Forest and Range Experiment Station

George R Staebler Weyerhaeuser Company

William J Lloyd Soil Conservation Service

August 1960

PACIFIC NORTHWEST FOREST AND RANGE EXPERIMENT STA TION

R W Cowlin Director Portland Oregon

FOREST SERVICE US DEPARTMEN TOF AGRICULTURE

I

I I l

I

bull bull middot middotmiddotmiddot -middot-- bullbull - middot middot- - - ______ _ __ __ lt1 -middot

CON TEN TS

INTRODUC TION 1

BASIC DA TA 1

ANALYSIS PROCEDURE 2

APPLICA TION 3

NUITiber

YIELD TABLES AND FI GURES

l Average total height of dominant and codominant trees lI l

Trees per acre-shylarger than 0 5 inch d b h 2 larger than 5 5 inches d b h 3 larger than 9 5 inches d b h 4

I Diameter of average tree-shyl larger than 0 5 inch d b h 5

larger than 5 5 inches d b h 6 I larger than 9 5 inches d b h 7

Basal area per acre-shytrees larger than 0 5 inch d b h 8 trees larger than 5 5 inches d b h 9 trees larger than 9 5 inches d b h 10

Cubic-foot volUITie per acre-shytrees larger than 5 5 inches d b h 1 1

trees larger than 9 5 inches d b h 12

Board-foot volUITie per acre (Scribner rule)-shy

trees larger than 9 5 inches d b h 13

IN TRODUC TION

Increasing interest in the management of red alder (Alnus rubra) has created a need for reliable yield information Existing yield tables for red alder]) have been very useful as interim sources of information but

they are generally inadequate for current and prospective management needs The aavisory tommittee bull for the Stations Olympia Research Center at the suggestion of several members sponsored a subcommittee to -proshymote the construction of new tables suitable for regionwide application Through cooperative efforts of both public and private forestry organizashytions the project was started in 1956

This research paper has been prepared to make the newly derived tables available to Northwest foresters without delay The narrative presshy

entation is accordingly brief A more complete report on the red alder yield study--including more adequate coverage of source data analytical procedures and application--is planned for future publication

BASIC DA TA

Field work for the red alder yield tables was begun in the summer of 1956 and completed in 1957 Altogether data from 428 sample plots well -stratified throughout Oorthwestern Oregon western Washington and

southern British Columbia were used in the yield table construction A goal of 60 plots within each 10-year age class from 10 through 80 years was thus reasonably well attained All plots conformed to the following specifishycations

1 Pure stand containing over 80 percent red alder by basal area

2 Closed crown canupy to give evidencemiddot of normality over the past lOyears

_ British Columbia Forest Service Yield tables 19 47 7 pp plus

tables) 19 47 (Processed ) Johnson Herman M Hanzlik Edward J and Gibbons William H

Red alder of the Papific Northwest its utilization with notes on growth and manqgement U S Dept Agr Bul 1 437 46 pp illus 1926

Lloyd W J Unpublished empirical yield tables U S Soil Cons erv Serv Seattle Wash 1943

Pope R B Empirical yield tables--Douglas-fir subregion 195 4 (Unpublished report Copy on file U S Forest Serv Pac NW Forest and Range Expt Sta Portland Oreg )

l l l

I I i I l I l l

3 Plot location restricted to a uniform part of the stand

4 Plot size of 1 I 40 acre for stands under 10 years old 1 I 10 acre for stands 10 to 20 years old and 1 I5 acre for stands over 20 years old

Data taken for each plot included

1 Diameter of all trees larger than 0 5 inch d b h by species and l -inch diameter classes

2 Stand age determi ed from breast-high increment borings of five trees in the upper canopy

3 Total height of the five trees bored for age and of an additional five trees to fill out stand diameter range

Site curves were developed from stem analyses of 43 felled and sec- tioned trees distributed throughout western Washington Th index stand age for the curve is 50 years with stand age defined as breast-high age plus 2 years This middotmethod of site indexing involving multiple regression was described by Bishop et all_

Yield data were derived for the following stand characteristics

1 Trees per acre

2 Basal area per acre

l

3 Diameter of average tree

4 Cubic feet per acre

5 Board feet per acre Scribner rule

ANALYSIS PROCEDURE

Multiple regression analyses were used to calculate the formulas that express the basic relations of stand characteristics such as basal area diameter and volume to stand age and site index Yield tables and figures were then derived from the formulas Dependent variables in the regression analyses were basal area average diameter cubic volume and board-footshycubic-foot ratio (from which board-foot yields were calculated) Independent

I 3_1Bishop Da iel M Johnson Floyd A and Staebler George R

I Site curves for red alder US Forest Serv Pac NW Forest and Range Expt Sta Res Note l 62 7pp illus 1958 (Processeci)

I -2shy

I

-3-

variables included first second and third powers of stand age first and second powers of site index and the product of stand age and site index The most effective combinations of the independent variables were used in develshyoping the final yield formulas which are shown in footnotes to appropriate yield tables

For three stand attributes--basal area average diameter and cubic volume--separate analyses were made for the following three stand segments

1 All trees larger than 0 5 inch d b h

2 All trees larger than 5 5 inches d b h

3 All trees larger than 9 5 inches d b h I

Because of limited and naturally variable data the regressions for the differshyent stand segments invariably crossed This problem of crossing was arbishytrarily resolved by using the regression for the stand segment larger than 5 5 inches above the point of crossing The age at which crossing occurred called merging age was found to depend on site index This relationship is also shown in footnotes to appropriate yield tables

Yield in board feet was developed by applying the board-foot-cubicshyfoot ratios determined from multiple regression to the calculated cubic-foot yield of trees larger than 9 5 inches d b h Thus a reasonable relation of board-foot to cubic-foot yields was assured Equations used for calculating board-foot yields (footnotes table 13 were obtained by multiplying the ratio formula by the appropriate cubic-volume yield formula

APPLICA TION

In using the tables to predict yields of specific stands allowances should of course be made for inevitable differences between fully stocked conditions as represented by the tables and actual conditions as encountered in the forest The tables are based oh data from small plots selected for normal stocking and do not characterize stand conditions usually found over wide areas Lower values than those in the tables should therefore be exshypected when yield data are applied to existing stancls

In comparing red alder yields with those of associated conifers two additional factors should be recognized ( 1) red alder stands usually contain more defect than conifer stands of comparable age and (2) an 8-foot scaling length is the basis for board-foot yields of red alder whereas a 16-foot scaling length is used for most conifers

The merging age device used in some tables to smooth out irr)gushylarities should not affect practical application of the yield tables because the loss in accuracy is insignificant

Blocks in tables indicate extent of the basic data

l I

l I i

l l

r i f

I middotI

13oFeet--------------------------------------

-----+-----+----+--

---------------L------L----

IImiddot r Ir rI

I

FIGURE 1

Average total height of dominant and codominant trees

T O T AL HEIGHT

II0

7 0

60

50

40

20 0 10 20 30 40 50 60 70 80

AGE ( Years )

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 2: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

middot

middot r

)InitiaJ in followi g

__ -

middotmiddot middotmiddot

middotmiddot middotr middot middot middot _middot-middot middotmiddot middotmiddot )middot _

middot middotmiddotmiddot

middot middotmiddotmiddot

impetus developingth e red aider yield tables was _provided by the members of the Olytllpia Research Center Adshy middoth middotvisoryConimittee William J middotLloydmiddot Lau ence 0 Barrett Royce 0 Co]nelius GilbertE Liming and LmiddotT Webster Site derivation and

preliminary phases of yield table construction were largely the work of middot middotmiddot Daniel M Bishop who was closely associated with the project in its middot early stages The lengthy task of machine computation and subsequent

analysis was chfefly the work ofDorothy middotMartinmiddot Basicmiddot plot data with- out which the prqject would not have be n possible middotwe e contdbuted by middot repres n-tatives of both private industry and public agercies In addition

middotmiddot

to the ExperiIllent Stations Corvallis and Olympia Research Centers these representatives were

middotgtBloedel Timberla d

middotmiddot gt middot

middotBritish Columbia Forest Se vice Crown Zellerbach Corp bullbullbull bull middot middot middot

middotmiddotmiddotmiddot Fibreboard Products Inc middotbull middotGifford Pinchot Natio l Forest

middot Kaiser Gypsum Co Longview Fibre Co bull Milwaukee Land Co Mount Baker National Forest

Northern Jacific Railway Co Olympic National Forest Pope amp Talbot Inc Puget Sound Pulp amp Timber Co middot Rayonier Inc St Paul amp Tacoma Lumber Co middotSt Regis Paper Co

middot Scott Paper Co middot middot middot Seattle Water Departrilent

middot middot Simpsqn Logging Co middot bull Snoqualmie National Forest

US Bureau of Land Management US Soil Conservation Service Washington State Department of Natural Resources Western Washington Indian Agency West Tacoma Newsprint Co Weyerhaeuser Co Willapa Valley Water District

-

Research Paper 36

middotmiddot -

NORMAL YIELD TABLES FOR RED ALDER

by

Norman P Worthington and Floyd A Johnson Pacific Northwest Forest and Range Experiment Station

George R Staebler Weyerhaeuser Company

William J Lloyd Soil Conservation Service

August 1960

PACIFIC NORTHWEST FOREST AND RANGE EXPERIMENT STA TION

R W Cowlin Director Portland Oregon

FOREST SERVICE US DEPARTMEN TOF AGRICULTURE

I

I I l

I

bull bull middot middotmiddotmiddot -middot-- bullbull - middot middot- - - ______ _ __ __ lt1 -middot

CON TEN TS

INTRODUC TION 1

BASIC DA TA 1

ANALYSIS PROCEDURE 2

APPLICA TION 3

NUITiber

YIELD TABLES AND FI GURES

l Average total height of dominant and codominant trees lI l

Trees per acre-shylarger than 0 5 inch d b h 2 larger than 5 5 inches d b h 3 larger than 9 5 inches d b h 4

I Diameter of average tree-shyl larger than 0 5 inch d b h 5

larger than 5 5 inches d b h 6 I larger than 9 5 inches d b h 7

Basal area per acre-shytrees larger than 0 5 inch d b h 8 trees larger than 5 5 inches d b h 9 trees larger than 9 5 inches d b h 10

Cubic-foot volUITie per acre-shytrees larger than 5 5 inches d b h 1 1

trees larger than 9 5 inches d b h 12

Board-foot volUITie per acre (Scribner rule)-shy

trees larger than 9 5 inches d b h 13

IN TRODUC TION

Increasing interest in the management of red alder (Alnus rubra) has created a need for reliable yield information Existing yield tables for red alder]) have been very useful as interim sources of information but

they are generally inadequate for current and prospective management needs The aavisory tommittee bull for the Stations Olympia Research Center at the suggestion of several members sponsored a subcommittee to -proshymote the construction of new tables suitable for regionwide application Through cooperative efforts of both public and private forestry organizashytions the project was started in 1956

This research paper has been prepared to make the newly derived tables available to Northwest foresters without delay The narrative presshy

entation is accordingly brief A more complete report on the red alder yield study--including more adequate coverage of source data analytical procedures and application--is planned for future publication

BASIC DA TA

Field work for the red alder yield tables was begun in the summer of 1956 and completed in 1957 Altogether data from 428 sample plots well -stratified throughout Oorthwestern Oregon western Washington and

southern British Columbia were used in the yield table construction A goal of 60 plots within each 10-year age class from 10 through 80 years was thus reasonably well attained All plots conformed to the following specifishycations

1 Pure stand containing over 80 percent red alder by basal area

2 Closed crown canupy to give evidencemiddot of normality over the past lOyears

_ British Columbia Forest Service Yield tables 19 47 7 pp plus

tables) 19 47 (Processed ) Johnson Herman M Hanzlik Edward J and Gibbons William H

Red alder of the Papific Northwest its utilization with notes on growth and manqgement U S Dept Agr Bul 1 437 46 pp illus 1926

Lloyd W J Unpublished empirical yield tables U S Soil Cons erv Serv Seattle Wash 1943

Pope R B Empirical yield tables--Douglas-fir subregion 195 4 (Unpublished report Copy on file U S Forest Serv Pac NW Forest and Range Expt Sta Portland Oreg )

l l l

I I i I l I l l

3 Plot location restricted to a uniform part of the stand

4 Plot size of 1 I 40 acre for stands under 10 years old 1 I 10 acre for stands 10 to 20 years old and 1 I5 acre for stands over 20 years old

Data taken for each plot included

1 Diameter of all trees larger than 0 5 inch d b h by species and l -inch diameter classes

2 Stand age determi ed from breast-high increment borings of five trees in the upper canopy

3 Total height of the five trees bored for age and of an additional five trees to fill out stand diameter range

Site curves were developed from stem analyses of 43 felled and sec- tioned trees distributed throughout western Washington Th index stand age for the curve is 50 years with stand age defined as breast-high age plus 2 years This middotmethod of site indexing involving multiple regression was described by Bishop et all_

Yield data were derived for the following stand characteristics

1 Trees per acre

2 Basal area per acre

l

3 Diameter of average tree

4 Cubic feet per acre

5 Board feet per acre Scribner rule

ANALYSIS PROCEDURE

Multiple regression analyses were used to calculate the formulas that express the basic relations of stand characteristics such as basal area diameter and volume to stand age and site index Yield tables and figures were then derived from the formulas Dependent variables in the regression analyses were basal area average diameter cubic volume and board-footshycubic-foot ratio (from which board-foot yields were calculated) Independent

I 3_1Bishop Da iel M Johnson Floyd A and Staebler George R

I Site curves for red alder US Forest Serv Pac NW Forest and Range Expt Sta Res Note l 62 7pp illus 1958 (Processeci)

I -2shy

I

-3-

variables included first second and third powers of stand age first and second powers of site index and the product of stand age and site index The most effective combinations of the independent variables were used in develshyoping the final yield formulas which are shown in footnotes to appropriate yield tables

For three stand attributes--basal area average diameter and cubic volume--separate analyses were made for the following three stand segments

1 All trees larger than 0 5 inch d b h

2 All trees larger than 5 5 inches d b h

3 All trees larger than 9 5 inches d b h I

Because of limited and naturally variable data the regressions for the differshyent stand segments invariably crossed This problem of crossing was arbishytrarily resolved by using the regression for the stand segment larger than 5 5 inches above the point of crossing The age at which crossing occurred called merging age was found to depend on site index This relationship is also shown in footnotes to appropriate yield tables

Yield in board feet was developed by applying the board-foot-cubicshyfoot ratios determined from multiple regression to the calculated cubic-foot yield of trees larger than 9 5 inches d b h Thus a reasonable relation of board-foot to cubic-foot yields was assured Equations used for calculating board-foot yields (footnotes table 13 were obtained by multiplying the ratio formula by the appropriate cubic-volume yield formula

APPLICA TION

In using the tables to predict yields of specific stands allowances should of course be made for inevitable differences between fully stocked conditions as represented by the tables and actual conditions as encountered in the forest The tables are based oh data from small plots selected for normal stocking and do not characterize stand conditions usually found over wide areas Lower values than those in the tables should therefore be exshypected when yield data are applied to existing stancls

In comparing red alder yields with those of associated conifers two additional factors should be recognized ( 1) red alder stands usually contain more defect than conifer stands of comparable age and (2) an 8-foot scaling length is the basis for board-foot yields of red alder whereas a 16-foot scaling length is used for most conifers

The merging age device used in some tables to smooth out irr)gushylarities should not affect practical application of the yield tables because the loss in accuracy is insignificant

Blocks in tables indicate extent of the basic data

l I

l I i

l l

r i f

I middotI

13oFeet--------------------------------------

-----+-----+----+--

---------------L------L----

IImiddot r Ir rI

I

FIGURE 1

Average total height of dominant and codominant trees

T O T AL HEIGHT

II0

7 0

60

50

40

20 0 10 20 30 40 50 60 70 80

AGE ( Years )

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 3: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

-

Research Paper 36

middotmiddot -

NORMAL YIELD TABLES FOR RED ALDER

by

Norman P Worthington and Floyd A Johnson Pacific Northwest Forest and Range Experiment Station

George R Staebler Weyerhaeuser Company

William J Lloyd Soil Conservation Service

August 1960

PACIFIC NORTHWEST FOREST AND RANGE EXPERIMENT STA TION

R W Cowlin Director Portland Oregon

FOREST SERVICE US DEPARTMEN TOF AGRICULTURE

I

I I l

I

bull bull middot middotmiddotmiddot -middot-- bullbull - middot middot- - - ______ _ __ __ lt1 -middot

CON TEN TS

INTRODUC TION 1

BASIC DA TA 1

ANALYSIS PROCEDURE 2

APPLICA TION 3

NUITiber

YIELD TABLES AND FI GURES

l Average total height of dominant and codominant trees lI l

Trees per acre-shylarger than 0 5 inch d b h 2 larger than 5 5 inches d b h 3 larger than 9 5 inches d b h 4

I Diameter of average tree-shyl larger than 0 5 inch d b h 5

larger than 5 5 inches d b h 6 I larger than 9 5 inches d b h 7

Basal area per acre-shytrees larger than 0 5 inch d b h 8 trees larger than 5 5 inches d b h 9 trees larger than 9 5 inches d b h 10

Cubic-foot volUITie per acre-shytrees larger than 5 5 inches d b h 1 1

trees larger than 9 5 inches d b h 12

Board-foot volUITie per acre (Scribner rule)-shy

trees larger than 9 5 inches d b h 13

IN TRODUC TION

Increasing interest in the management of red alder (Alnus rubra) has created a need for reliable yield information Existing yield tables for red alder]) have been very useful as interim sources of information but

they are generally inadequate for current and prospective management needs The aavisory tommittee bull for the Stations Olympia Research Center at the suggestion of several members sponsored a subcommittee to -proshymote the construction of new tables suitable for regionwide application Through cooperative efforts of both public and private forestry organizashytions the project was started in 1956

This research paper has been prepared to make the newly derived tables available to Northwest foresters without delay The narrative presshy

entation is accordingly brief A more complete report on the red alder yield study--including more adequate coverage of source data analytical procedures and application--is planned for future publication

BASIC DA TA

Field work for the red alder yield tables was begun in the summer of 1956 and completed in 1957 Altogether data from 428 sample plots well -stratified throughout Oorthwestern Oregon western Washington and

southern British Columbia were used in the yield table construction A goal of 60 plots within each 10-year age class from 10 through 80 years was thus reasonably well attained All plots conformed to the following specifishycations

1 Pure stand containing over 80 percent red alder by basal area

2 Closed crown canupy to give evidencemiddot of normality over the past lOyears

_ British Columbia Forest Service Yield tables 19 47 7 pp plus

tables) 19 47 (Processed ) Johnson Herman M Hanzlik Edward J and Gibbons William H

Red alder of the Papific Northwest its utilization with notes on growth and manqgement U S Dept Agr Bul 1 437 46 pp illus 1926

Lloyd W J Unpublished empirical yield tables U S Soil Cons erv Serv Seattle Wash 1943

Pope R B Empirical yield tables--Douglas-fir subregion 195 4 (Unpublished report Copy on file U S Forest Serv Pac NW Forest and Range Expt Sta Portland Oreg )

l l l

I I i I l I l l

3 Plot location restricted to a uniform part of the stand

4 Plot size of 1 I 40 acre for stands under 10 years old 1 I 10 acre for stands 10 to 20 years old and 1 I5 acre for stands over 20 years old

Data taken for each plot included

1 Diameter of all trees larger than 0 5 inch d b h by species and l -inch diameter classes

2 Stand age determi ed from breast-high increment borings of five trees in the upper canopy

3 Total height of the five trees bored for age and of an additional five trees to fill out stand diameter range

Site curves were developed from stem analyses of 43 felled and sec- tioned trees distributed throughout western Washington Th index stand age for the curve is 50 years with stand age defined as breast-high age plus 2 years This middotmethod of site indexing involving multiple regression was described by Bishop et all_

Yield data were derived for the following stand characteristics

1 Trees per acre

2 Basal area per acre

l

3 Diameter of average tree

4 Cubic feet per acre

5 Board feet per acre Scribner rule

ANALYSIS PROCEDURE

Multiple regression analyses were used to calculate the formulas that express the basic relations of stand characteristics such as basal area diameter and volume to stand age and site index Yield tables and figures were then derived from the formulas Dependent variables in the regression analyses were basal area average diameter cubic volume and board-footshycubic-foot ratio (from which board-foot yields were calculated) Independent

I 3_1Bishop Da iel M Johnson Floyd A and Staebler George R

I Site curves for red alder US Forest Serv Pac NW Forest and Range Expt Sta Res Note l 62 7pp illus 1958 (Processeci)

I -2shy

I

-3-

variables included first second and third powers of stand age first and second powers of site index and the product of stand age and site index The most effective combinations of the independent variables were used in develshyoping the final yield formulas which are shown in footnotes to appropriate yield tables

For three stand attributes--basal area average diameter and cubic volume--separate analyses were made for the following three stand segments

1 All trees larger than 0 5 inch d b h

2 All trees larger than 5 5 inches d b h

3 All trees larger than 9 5 inches d b h I

Because of limited and naturally variable data the regressions for the differshyent stand segments invariably crossed This problem of crossing was arbishytrarily resolved by using the regression for the stand segment larger than 5 5 inches above the point of crossing The age at which crossing occurred called merging age was found to depend on site index This relationship is also shown in footnotes to appropriate yield tables

Yield in board feet was developed by applying the board-foot-cubicshyfoot ratios determined from multiple regression to the calculated cubic-foot yield of trees larger than 9 5 inches d b h Thus a reasonable relation of board-foot to cubic-foot yields was assured Equations used for calculating board-foot yields (footnotes table 13 were obtained by multiplying the ratio formula by the appropriate cubic-volume yield formula

APPLICA TION

In using the tables to predict yields of specific stands allowances should of course be made for inevitable differences between fully stocked conditions as represented by the tables and actual conditions as encountered in the forest The tables are based oh data from small plots selected for normal stocking and do not characterize stand conditions usually found over wide areas Lower values than those in the tables should therefore be exshypected when yield data are applied to existing stancls

In comparing red alder yields with those of associated conifers two additional factors should be recognized ( 1) red alder stands usually contain more defect than conifer stands of comparable age and (2) an 8-foot scaling length is the basis for board-foot yields of red alder whereas a 16-foot scaling length is used for most conifers

The merging age device used in some tables to smooth out irr)gushylarities should not affect practical application of the yield tables because the loss in accuracy is insignificant

Blocks in tables indicate extent of the basic data

l I

l I i

l l

r i f

I middotI

13oFeet--------------------------------------

-----+-----+----+--

---------------L------L----

IImiddot r Ir rI

I

FIGURE 1

Average total height of dominant and codominant trees

T O T AL HEIGHT

II0

7 0

60

50

40

20 0 10 20 30 40 50 60 70 80

AGE ( Years )

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 4: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

I

I I l

I

bull bull middot middotmiddotmiddot -middot-- bullbull - middot middot- - - ______ _ __ __ lt1 -middot

CON TEN TS

INTRODUC TION 1

BASIC DA TA 1

ANALYSIS PROCEDURE 2

APPLICA TION 3

NUITiber

YIELD TABLES AND FI GURES

l Average total height of dominant and codominant trees lI l

Trees per acre-shylarger than 0 5 inch d b h 2 larger than 5 5 inches d b h 3 larger than 9 5 inches d b h 4

I Diameter of average tree-shyl larger than 0 5 inch d b h 5

larger than 5 5 inches d b h 6 I larger than 9 5 inches d b h 7

Basal area per acre-shytrees larger than 0 5 inch d b h 8 trees larger than 5 5 inches d b h 9 trees larger than 9 5 inches d b h 10

Cubic-foot volUITie per acre-shytrees larger than 5 5 inches d b h 1 1

trees larger than 9 5 inches d b h 12

Board-foot volUITie per acre (Scribner rule)-shy

trees larger than 9 5 inches d b h 13

IN TRODUC TION

Increasing interest in the management of red alder (Alnus rubra) has created a need for reliable yield information Existing yield tables for red alder]) have been very useful as interim sources of information but

they are generally inadequate for current and prospective management needs The aavisory tommittee bull for the Stations Olympia Research Center at the suggestion of several members sponsored a subcommittee to -proshymote the construction of new tables suitable for regionwide application Through cooperative efforts of both public and private forestry organizashytions the project was started in 1956

This research paper has been prepared to make the newly derived tables available to Northwest foresters without delay The narrative presshy

entation is accordingly brief A more complete report on the red alder yield study--including more adequate coverage of source data analytical procedures and application--is planned for future publication

BASIC DA TA

Field work for the red alder yield tables was begun in the summer of 1956 and completed in 1957 Altogether data from 428 sample plots well -stratified throughout Oorthwestern Oregon western Washington and

southern British Columbia were used in the yield table construction A goal of 60 plots within each 10-year age class from 10 through 80 years was thus reasonably well attained All plots conformed to the following specifishycations

1 Pure stand containing over 80 percent red alder by basal area

2 Closed crown canupy to give evidencemiddot of normality over the past lOyears

_ British Columbia Forest Service Yield tables 19 47 7 pp plus

tables) 19 47 (Processed ) Johnson Herman M Hanzlik Edward J and Gibbons William H

Red alder of the Papific Northwest its utilization with notes on growth and manqgement U S Dept Agr Bul 1 437 46 pp illus 1926

Lloyd W J Unpublished empirical yield tables U S Soil Cons erv Serv Seattle Wash 1943

Pope R B Empirical yield tables--Douglas-fir subregion 195 4 (Unpublished report Copy on file U S Forest Serv Pac NW Forest and Range Expt Sta Portland Oreg )

l l l

I I i I l I l l

3 Plot location restricted to a uniform part of the stand

4 Plot size of 1 I 40 acre for stands under 10 years old 1 I 10 acre for stands 10 to 20 years old and 1 I5 acre for stands over 20 years old

Data taken for each plot included

1 Diameter of all trees larger than 0 5 inch d b h by species and l -inch diameter classes

2 Stand age determi ed from breast-high increment borings of five trees in the upper canopy

3 Total height of the five trees bored for age and of an additional five trees to fill out stand diameter range

Site curves were developed from stem analyses of 43 felled and sec- tioned trees distributed throughout western Washington Th index stand age for the curve is 50 years with stand age defined as breast-high age plus 2 years This middotmethod of site indexing involving multiple regression was described by Bishop et all_

Yield data were derived for the following stand characteristics

1 Trees per acre

2 Basal area per acre

l

3 Diameter of average tree

4 Cubic feet per acre

5 Board feet per acre Scribner rule

ANALYSIS PROCEDURE

Multiple regression analyses were used to calculate the formulas that express the basic relations of stand characteristics such as basal area diameter and volume to stand age and site index Yield tables and figures were then derived from the formulas Dependent variables in the regression analyses were basal area average diameter cubic volume and board-footshycubic-foot ratio (from which board-foot yields were calculated) Independent

I 3_1Bishop Da iel M Johnson Floyd A and Staebler George R

I Site curves for red alder US Forest Serv Pac NW Forest and Range Expt Sta Res Note l 62 7pp illus 1958 (Processeci)

I -2shy

I

-3-

variables included first second and third powers of stand age first and second powers of site index and the product of stand age and site index The most effective combinations of the independent variables were used in develshyoping the final yield formulas which are shown in footnotes to appropriate yield tables

For three stand attributes--basal area average diameter and cubic volume--separate analyses were made for the following three stand segments

1 All trees larger than 0 5 inch d b h

2 All trees larger than 5 5 inches d b h

3 All trees larger than 9 5 inches d b h I

Because of limited and naturally variable data the regressions for the differshyent stand segments invariably crossed This problem of crossing was arbishytrarily resolved by using the regression for the stand segment larger than 5 5 inches above the point of crossing The age at which crossing occurred called merging age was found to depend on site index This relationship is also shown in footnotes to appropriate yield tables

Yield in board feet was developed by applying the board-foot-cubicshyfoot ratios determined from multiple regression to the calculated cubic-foot yield of trees larger than 9 5 inches d b h Thus a reasonable relation of board-foot to cubic-foot yields was assured Equations used for calculating board-foot yields (footnotes table 13 were obtained by multiplying the ratio formula by the appropriate cubic-volume yield formula

APPLICA TION

In using the tables to predict yields of specific stands allowances should of course be made for inevitable differences between fully stocked conditions as represented by the tables and actual conditions as encountered in the forest The tables are based oh data from small plots selected for normal stocking and do not characterize stand conditions usually found over wide areas Lower values than those in the tables should therefore be exshypected when yield data are applied to existing stancls

In comparing red alder yields with those of associated conifers two additional factors should be recognized ( 1) red alder stands usually contain more defect than conifer stands of comparable age and (2) an 8-foot scaling length is the basis for board-foot yields of red alder whereas a 16-foot scaling length is used for most conifers

The merging age device used in some tables to smooth out irr)gushylarities should not affect practical application of the yield tables because the loss in accuracy is insignificant

Blocks in tables indicate extent of the basic data

l I

l I i

l l

r i f

I middotI

13oFeet--------------------------------------

-----+-----+----+--

---------------L------L----

IImiddot r Ir rI

I

FIGURE 1

Average total height of dominant and codominant trees

T O T AL HEIGHT

II0

7 0

60

50

40

20 0 10 20 30 40 50 60 70 80

AGE ( Years )

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 5: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

IN TRODUC TION

Increasing interest in the management of red alder (Alnus rubra) has created a need for reliable yield information Existing yield tables for red alder]) have been very useful as interim sources of information but

they are generally inadequate for current and prospective management needs The aavisory tommittee bull for the Stations Olympia Research Center at the suggestion of several members sponsored a subcommittee to -proshymote the construction of new tables suitable for regionwide application Through cooperative efforts of both public and private forestry organizashytions the project was started in 1956

This research paper has been prepared to make the newly derived tables available to Northwest foresters without delay The narrative presshy

entation is accordingly brief A more complete report on the red alder yield study--including more adequate coverage of source data analytical procedures and application--is planned for future publication

BASIC DA TA

Field work for the red alder yield tables was begun in the summer of 1956 and completed in 1957 Altogether data from 428 sample plots well -stratified throughout Oorthwestern Oregon western Washington and

southern British Columbia were used in the yield table construction A goal of 60 plots within each 10-year age class from 10 through 80 years was thus reasonably well attained All plots conformed to the following specifishycations

1 Pure stand containing over 80 percent red alder by basal area

2 Closed crown canupy to give evidencemiddot of normality over the past lOyears

_ British Columbia Forest Service Yield tables 19 47 7 pp plus

tables) 19 47 (Processed ) Johnson Herman M Hanzlik Edward J and Gibbons William H

Red alder of the Papific Northwest its utilization with notes on growth and manqgement U S Dept Agr Bul 1 437 46 pp illus 1926

Lloyd W J Unpublished empirical yield tables U S Soil Cons erv Serv Seattle Wash 1943

Pope R B Empirical yield tables--Douglas-fir subregion 195 4 (Unpublished report Copy on file U S Forest Serv Pac NW Forest and Range Expt Sta Portland Oreg )

l l l

I I i I l I l l

3 Plot location restricted to a uniform part of the stand

4 Plot size of 1 I 40 acre for stands under 10 years old 1 I 10 acre for stands 10 to 20 years old and 1 I5 acre for stands over 20 years old

Data taken for each plot included

1 Diameter of all trees larger than 0 5 inch d b h by species and l -inch diameter classes

2 Stand age determi ed from breast-high increment borings of five trees in the upper canopy

3 Total height of the five trees bored for age and of an additional five trees to fill out stand diameter range

Site curves were developed from stem analyses of 43 felled and sec- tioned trees distributed throughout western Washington Th index stand age for the curve is 50 years with stand age defined as breast-high age plus 2 years This middotmethod of site indexing involving multiple regression was described by Bishop et all_

Yield data were derived for the following stand characteristics

1 Trees per acre

2 Basal area per acre

l

3 Diameter of average tree

4 Cubic feet per acre

5 Board feet per acre Scribner rule

ANALYSIS PROCEDURE

Multiple regression analyses were used to calculate the formulas that express the basic relations of stand characteristics such as basal area diameter and volume to stand age and site index Yield tables and figures were then derived from the formulas Dependent variables in the regression analyses were basal area average diameter cubic volume and board-footshycubic-foot ratio (from which board-foot yields were calculated) Independent

I 3_1Bishop Da iel M Johnson Floyd A and Staebler George R

I Site curves for red alder US Forest Serv Pac NW Forest and Range Expt Sta Res Note l 62 7pp illus 1958 (Processeci)

I -2shy

I

-3-

variables included first second and third powers of stand age first and second powers of site index and the product of stand age and site index The most effective combinations of the independent variables were used in develshyoping the final yield formulas which are shown in footnotes to appropriate yield tables

For three stand attributes--basal area average diameter and cubic volume--separate analyses were made for the following three stand segments

1 All trees larger than 0 5 inch d b h

2 All trees larger than 5 5 inches d b h

3 All trees larger than 9 5 inches d b h I

Because of limited and naturally variable data the regressions for the differshyent stand segments invariably crossed This problem of crossing was arbishytrarily resolved by using the regression for the stand segment larger than 5 5 inches above the point of crossing The age at which crossing occurred called merging age was found to depend on site index This relationship is also shown in footnotes to appropriate yield tables

Yield in board feet was developed by applying the board-foot-cubicshyfoot ratios determined from multiple regression to the calculated cubic-foot yield of trees larger than 9 5 inches d b h Thus a reasonable relation of board-foot to cubic-foot yields was assured Equations used for calculating board-foot yields (footnotes table 13 were obtained by multiplying the ratio formula by the appropriate cubic-volume yield formula

APPLICA TION

In using the tables to predict yields of specific stands allowances should of course be made for inevitable differences between fully stocked conditions as represented by the tables and actual conditions as encountered in the forest The tables are based oh data from small plots selected for normal stocking and do not characterize stand conditions usually found over wide areas Lower values than those in the tables should therefore be exshypected when yield data are applied to existing stancls

In comparing red alder yields with those of associated conifers two additional factors should be recognized ( 1) red alder stands usually contain more defect than conifer stands of comparable age and (2) an 8-foot scaling length is the basis for board-foot yields of red alder whereas a 16-foot scaling length is used for most conifers

The merging age device used in some tables to smooth out irr)gushylarities should not affect practical application of the yield tables because the loss in accuracy is insignificant

Blocks in tables indicate extent of the basic data

l I

l I i

l l

r i f

I middotI

13oFeet--------------------------------------

-----+-----+----+--

---------------L------L----

IImiddot r Ir rI

I

FIGURE 1

Average total height of dominant and codominant trees

T O T AL HEIGHT

II0

7 0

60

50

40

20 0 10 20 30 40 50 60 70 80

AGE ( Years )

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 6: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

l l l

I I i I l I l l

3 Plot location restricted to a uniform part of the stand

4 Plot size of 1 I 40 acre for stands under 10 years old 1 I 10 acre for stands 10 to 20 years old and 1 I5 acre for stands over 20 years old

Data taken for each plot included

1 Diameter of all trees larger than 0 5 inch d b h by species and l -inch diameter classes

2 Stand age determi ed from breast-high increment borings of five trees in the upper canopy

3 Total height of the five trees bored for age and of an additional five trees to fill out stand diameter range

Site curves were developed from stem analyses of 43 felled and sec- tioned trees distributed throughout western Washington Th index stand age for the curve is 50 years with stand age defined as breast-high age plus 2 years This middotmethod of site indexing involving multiple regression was described by Bishop et all_

Yield data were derived for the following stand characteristics

1 Trees per acre

2 Basal area per acre

l

3 Diameter of average tree

4 Cubic feet per acre

5 Board feet per acre Scribner rule

ANALYSIS PROCEDURE

Multiple regression analyses were used to calculate the formulas that express the basic relations of stand characteristics such as basal area diameter and volume to stand age and site index Yield tables and figures were then derived from the formulas Dependent variables in the regression analyses were basal area average diameter cubic volume and board-footshycubic-foot ratio (from which board-foot yields were calculated) Independent

I 3_1Bishop Da iel M Johnson Floyd A and Staebler George R

I Site curves for red alder US Forest Serv Pac NW Forest and Range Expt Sta Res Note l 62 7pp illus 1958 (Processeci)

I -2shy

I

-3-

variables included first second and third powers of stand age first and second powers of site index and the product of stand age and site index The most effective combinations of the independent variables were used in develshyoping the final yield formulas which are shown in footnotes to appropriate yield tables

For three stand attributes--basal area average diameter and cubic volume--separate analyses were made for the following three stand segments

1 All trees larger than 0 5 inch d b h

2 All trees larger than 5 5 inches d b h

3 All trees larger than 9 5 inches d b h I

Because of limited and naturally variable data the regressions for the differshyent stand segments invariably crossed This problem of crossing was arbishytrarily resolved by using the regression for the stand segment larger than 5 5 inches above the point of crossing The age at which crossing occurred called merging age was found to depend on site index This relationship is also shown in footnotes to appropriate yield tables

Yield in board feet was developed by applying the board-foot-cubicshyfoot ratios determined from multiple regression to the calculated cubic-foot yield of trees larger than 9 5 inches d b h Thus a reasonable relation of board-foot to cubic-foot yields was assured Equations used for calculating board-foot yields (footnotes table 13 were obtained by multiplying the ratio formula by the appropriate cubic-volume yield formula

APPLICA TION

In using the tables to predict yields of specific stands allowances should of course be made for inevitable differences between fully stocked conditions as represented by the tables and actual conditions as encountered in the forest The tables are based oh data from small plots selected for normal stocking and do not characterize stand conditions usually found over wide areas Lower values than those in the tables should therefore be exshypected when yield data are applied to existing stancls

In comparing red alder yields with those of associated conifers two additional factors should be recognized ( 1) red alder stands usually contain more defect than conifer stands of comparable age and (2) an 8-foot scaling length is the basis for board-foot yields of red alder whereas a 16-foot scaling length is used for most conifers

The merging age device used in some tables to smooth out irr)gushylarities should not affect practical application of the yield tables because the loss in accuracy is insignificant

Blocks in tables indicate extent of the basic data

l I

l I i

l l

r i f

I middotI

13oFeet--------------------------------------

-----+-----+----+--

---------------L------L----

IImiddot r Ir rI

I

FIGURE 1

Average total height of dominant and codominant trees

T O T AL HEIGHT

II0

7 0

60

50

40

20 0 10 20 30 40 50 60 70 80

AGE ( Years )

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 7: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

-3-

variables included first second and third powers of stand age first and second powers of site index and the product of stand age and site index The most effective combinations of the independent variables were used in develshyoping the final yield formulas which are shown in footnotes to appropriate yield tables

For three stand attributes--basal area average diameter and cubic volume--separate analyses were made for the following three stand segments

1 All trees larger than 0 5 inch d b h

2 All trees larger than 5 5 inches d b h

3 All trees larger than 9 5 inches d b h I

Because of limited and naturally variable data the regressions for the differshyent stand segments invariably crossed This problem of crossing was arbishytrarily resolved by using the regression for the stand segment larger than 5 5 inches above the point of crossing The age at which crossing occurred called merging age was found to depend on site index This relationship is also shown in footnotes to appropriate yield tables

Yield in board feet was developed by applying the board-foot-cubicshyfoot ratios determined from multiple regression to the calculated cubic-foot yield of trees larger than 9 5 inches d b h Thus a reasonable relation of board-foot to cubic-foot yields was assured Equations used for calculating board-foot yields (footnotes table 13 were obtained by multiplying the ratio formula by the appropriate cubic-volume yield formula

APPLICA TION

In using the tables to predict yields of specific stands allowances should of course be made for inevitable differences between fully stocked conditions as represented by the tables and actual conditions as encountered in the forest The tables are based oh data from small plots selected for normal stocking and do not characterize stand conditions usually found over wide areas Lower values than those in the tables should therefore be exshypected when yield data are applied to existing stancls

In comparing red alder yields with those of associated conifers two additional factors should be recognized ( 1) red alder stands usually contain more defect than conifer stands of comparable age and (2) an 8-foot scaling length is the basis for board-foot yields of red alder whereas a 16-foot scaling length is used for most conifers

The merging age device used in some tables to smooth out irr)gushylarities should not affect practical application of the yield tables because the loss in accuracy is insignificant

Blocks in tables indicate extent of the basic data

l I

l I i

l l

r i f

I middotI

13oFeet--------------------------------------

-----+-----+----+--

---------------L------L----

IImiddot r Ir rI

I

FIGURE 1

Average total height of dominant and codominant trees

T O T AL HEIGHT

II0

7 0

60

50

40

20 0 10 20 30 40 50 60 70 80

AGE ( Years )

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 8: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

l I

l I i

l l

r i f

I middotI

13oFeet--------------------------------------

-----+-----+----+--

---------------L------L----

IImiddot r Ir rI

I

FIGURE 1

Average total height of dominant and codominant trees

T O T AL HEIGHT

II0

7 0

60

50

40

20 0 10 20 30 40 50 60 70 80

AGE ( Years )

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 9: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

middot ------------------------- --- --- --- --------- ---- ---

70

31 39 47

44 57

25 43 65 79

30 79

35 77

45 67 77

93

75

99

79

94

TABLE 1

Average tota l height of dominant and codominant trees

Site index (feet) Age

(years) 60 80 90 100 110 120

-Feet

10 23 27 35 43

15 31 37 42 47 52 58 63

50 63 6920 38

50 58 72

87 9548 56 63 71

51 60 69 86 94 103

40 55 64 73 82 91 100 109

58 86 96 105 115

so 60 70 80 90 100 110 120

104 114 12455 62 73 83

60 64 86 96 107 118 128

110 121 13265 66 77 88

70 68 90 101 113 124 135

75 69 80 92 103 115 126 138

105 117 129 14180 70 82

Derived from the formula

Site index = (060924 + 19538age) height where site index is for stand age so

76

86

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 10: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

ll

l

f

1 i I

-------------------------------------------

-------------------------------------L------

i middotmiddotmiddotI

ll

middot j i

middot imiddot1

I i l

FIGURE 2

Trees per acre --larger than 05 inch dbh

NUMBER OF TRE ES

000

600

0 1 0 20 30 40 50 60 70 eo

AGE

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 11: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

I

15

55

75

432

144

TABLE 2

Trees per acre--larger than 05 inch dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Number -------------------------

10 4 742 3531 2613 1964 1469

1702 1410 1171 956

20 919 808 695 674 512

1 111 851

779 643 528

441 376

334 291

267 239

225 202

194 184

178 169

165 156

151

139 133

128 122

117 112

106 102

96 93

609 543 48625 378

30 445 404 368 333 300

35 345 321 296 272 248

40 282 265 247 231 212

45 239 229 218 205 190

50 209 203 196 184 172

60

173 172 169 165 159

157 157 154 150 145

141 139 137 132

70 126 124 121

65

80

112 109

98

Number of trees obtained by dividing total basal area by basal area of average tree

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 12: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

middot i ll

f i I bull bull I

I

FIGURE 3

Trees per acre--larger than 55 inches dbh

NUMBER OF TREES

I

10 30 40 50 60 70 80

AGE Years

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 13: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

------------------------

I

I

------- ------- ------ - - - --I

25

40

45

55

75

144

93

TABLE 3

Trees per acre-- larger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

Number

10 158 169 166 158

15 158 201 220 223 219 211 199

20 220 239 247 244 236 226 211

30

241 248 250 244 236 225 211

240 245 245 238 227 217 204

235 231 224 216 205 19335 232

50

219 221 217 210 201 191 181

205 205 201 194 186 178 169

188 188 185 179 172 165 156

172 169 165 159 151171

60 155 157 154 150 145 139 133

65 141 139 137 132 128 122

70 126 124 121 117 112

112 109 106 102

80 98 96

Number of trees obtained by dividing total basal area by basal area of average tree

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 14: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

1

FIGURE 4

Trees per acre--larger than 95 inches dbh

NUMBER OF TREES

ii

20 30 40 50 60 70 80

AGE ( Years

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 15: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

I

24 57

95

93

24 34 44

93

144

93

TABLE 4

Treesper acre--larger than 95 inches db h

Site index (feet) Age

(years) 60 70 80 90 100 llO 120

-- -------- -------- ------ l1umber -------------------------20 12

25 15 30 44 56 67 76

30 41 70 82 102

63 78 92 101 ll3 12135 46

40 63 80 108 118 128 135

45 77 108 119 129 138 144

50 86 103 116 127 136 144 148

55 93 108 121 131 140 143

60 96 111 123 132 138 138 133

65 96 llO 122 130 131 128 122

70 94 119 122 121 ll7 ll2

75 1ll 112 109 106 102

80 103 100 98 96

Number of trees obtained by div iding total basal area by basal area of average tree

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 16: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

l j

------------------------------r-----------

1----------1-------1--------+---

1--------+--------11---

----L-----------------------------L------

FIGURE 5

Diame ter of average tree-shylarger than 05 inch db h

DI AME TE R

200 Inches

I 40

120

0 10 20 30 40 50 60 70 eo

AGE Years

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 17: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

1

I

I

70

15

25

35

40

50

70

97

48

83

27

40

54

53 35

TABLE 5

Diameter of average tree-shylarger than 05 inch dbh

S ite index (feet)Age (years)

60 80 90 100 110 120

------------------------ Inches ------------------------shy

31 36 42

51 58

65 72

72 79 87

92 100

105 114

117 124

127 134

136 143

146 153

155 163

164 172

173 182

182 191

16 19 2310

28 32 36 46

20 40 44 59

51 55 60 66

30 61 66 72 78 85

71 77 90 97

80 86 93 100 108bull 89 96 103 11145 119

104 112 120 129

55 108

60 115

65

116 123 131 138

123 131 139 147

130 139 147 155

75

146middot 155 164

163 172

80 18 1 191 20o

------------------------ Years --------------------------55 56 56 49 43Merging age

1 Up to merging age Diameter of average tree = - 083 + 02045 (age) - 0001153 (age)2

0 000284 (site index) 2

- 0 0192 (site index) + + 0001103 (s ite index) (age)

Above merging age Diameter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 000091l (site index) (age)

Merging age = 675 + 13625 (site index) - 0009375 (site index)2

1

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 18: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

I jbull I

lmiddot j I L j

i middot

l

l t i i H )l

1 middot I

I 1 lc

lnches--------------r--------------------------

1----------+-------+---------t--

-------------------L------------------------

200

140

60 70 80

FIGURE 6

Diameter of average tree-shylarger than 55 inches dbh

DI AME T E R

middot bull1

1 20

100

80

60

40

20

0 10 20 30 40 50

AGE Yeo rs

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 19: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

I 52

15 53

79

45

55

70

75

TABLE 6

Diame ter of average tree-shylarger than 55 inches dbh

Site index (feet) Age

(years) 60 70 80 90 100 110 120

------------------------ Inches --- ----------------------55 58 62

69 72

74 79 83

88 93

93 98 103

108 114

117 124

127 134

136 143

146 153

163155

164 172

173 182

182 191

200191

I 10

49 57 61 65

20

25

30

35

40

so

60

65

57 61

65 69 74

72 77

8579

93 9987

94 101

101 108

108 116

123115

130

66 70

84

83 88

91 97 102

105 111

107 114 120

115 122 12 9

123 131 138

131 139 147

139 147 155

146 155 bull164

163 172

f 80 181t Diameter of average tree = 109 + 01057 (age) - 0 000198 (age)2

+ 00247 (si te index) + 0000911 (site index)(age)

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 20: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

l I i I

i I

l nt It 1 1 p

-------------+--------------+--------------+------

-------------+------------+-------_-------+------

-------------+--------------+--------------+------

------4--------+------------+--------------+------

L---------------------L-------------------------

60

20

20 30 60 70

FIGURE 7

Diame ter of average tree-shylarger than 95 inches dbh

DI AMETER

180

160

140

1 20

100

80

40

0 10 40 50 so

AGE Years

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 21: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

I ---------------------- ---

70

45

50

55

75

72 54 50

TABLE 7

Diameter of average tree-shylarger than 95 inches d b h

Site index (feet)Age (years) 60 80 90 100 110 120

-------------------- ---- Inches --- -------------- - - - - - ---20 111 112 113 113

25 111 112 114 115 116 117

30 111 113 114 116 118 120 122

35 112 115 117 119 123 124 126

40 115 117 120 123 126 129 131

60

117 120 124 127 130 133 137

120 124 128 131 135 139 143

127 132 136 140 146123 153

127 131 136 141 147 155 163

65 131 164 172136 141 147 155

70 135 146 155 164 173 182

80

182 191154 163 172

161 171 181 191 200

------------------------- Years

Merging age 64 58

Up to merging age Diameter of average tree = 1133 - 00668 (age) +

- 0010l (site index) 0000705 (age)2

+ 0000950 (si te index) (age) Above merging age

Diame ter of average tree = 109 + 01057 (age) - 0000198 (age)2

+ 00247 (site index) + 0000911 (si te index) (age)

Merging age = 1735 - 1775(si te index) + 000625 (si e index)2

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 22: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

1

11

------+--------------r-------+-------4--------r-------1

------+-------4--------r-------+------_------r-------

------+-------4--------------+-------4------r-------1

L--------------------L------------------------

40

FIGURE 8

Basa l area per acre--trees larger than 05 inch dbh

B AS AL ARE A

60

20

0 10 20 30 40 50 60 70

AGE ( Years

l a

80

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 23: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

Sguare

I

35

40

45

50

55

65

70

75

94

97

99

98

174

177

45 45

TABLE 8

Basal area per acre--trees larger than 05 inch dbh

Site index (feet)Age (years)

60 70 80 90 100 llO 120

---------------------- feet --- -------------------10 69 71 73 76 78 80 82

15 78 82 85 88 92 95

103 10720 80 85 89

86 9 1 97 103 108 ll4 1 19 25

104 l l l 118 124 131 30 91

103 111 1 19 127 135 14295

108 117 127 136 144 153

114 126 137 147 156 164103

60

107 120 134 146 157 167 175

125 140 153 165 175 184llO

129 144 158 171 182 192113

130 146 161 187 197

190 201 147 162 177

191 20316275

80 175 190 203

------------------------- Years ------------------------shy

Merging age 5 1 41 40 41

Up to merging age 0 006620(age)2Basa l area= 5616 - + 0022465 (site index)(age)

Above merging age -Basal area = - 11195 + 38354 (age) 0037466 (age)2 + 15606 (site index)

- 0006747 (site index)2 +middot0016438 (si te index) (age)

Merging age = 1650 25 (si te index) + OO l25 (site index)2 -

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 24: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

r--------r------r-------

r--------r-----1---

r--- --r----- r--------r------ -------_ _____ --------- 1

--------------------------------------------

160

80

FIGURE 9

Basal area per acre--trees larger than 55 inches d bh

B AS AL ARE A

140

20

0 10 20 30 40 50 60 70

AGE Years

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 25: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

TABLE 9

Basal area per acre--trees larger than 5 5 inches db h

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 26: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

J------+----+----+-----1-

-----+----+----+--

0 L_ ___ L_ ___ L_ ___ J_ ___ ---------L---

FIGURE 10

Basal area per acre--trees larger than 95 inches dbh

B AS AL ARE A

180

160

10 20 30 40 50 60 70 80

AGE Years

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 27: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

Sguare

I ---- ------ - - - - - - - - ------- ----------- - -------------

70

30

35

40

70

75

57

93

45

75

90

95

89

149

70

TABLE 10

Basal area per acre--trees larger than 95 inches dbh

Site index (feet)Age (years)

60 80 90 100 1 10 120

--------- - - - - - - ------- feet ----------------------20 8 16 24 3 1

25 21 3 1 40 49 57

16 41 52 63 73 82

32 59 71 83

45 60 102 1 15

45 74 105 120 134 147

86 103 119 135 15150 68

96 114 55 77 132 166

60 84 104 124 143 162 180 192

187 19765 89 111 132 153 173

80

139 160 177 190 201

143 162 177 191 203

142 159 175 190 203

75Merging age 65

Up to merging age 0033070 (age)2-Basal area = 15064 + 36498 (age) shy

+ 08356 (site index) - 000291l (site index)2

+ 0026337(site index) (age)

Above merging age Basal area= - 11195 + 38354 (age) - 0 037466 (age)2

+ 15606 (s ite index) - 0006747 (site index)2

+ 0016438 (site index) (age)

Merging age = 1200 - OS(site index)

106

127

166

182

60

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 28: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

I I middot gti i

i middotr i j - middot4

iY H l t

------+-----+-----+----+ 8100

3600

900

80

FIGURE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

V OLUME

10800 Cubic Feet

2700

1800

0 10 20 30 40 50 60 70

AGE Years

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 29: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

1 r----------

I

Age (years)

10

15

30

35

40

45

55

60

80

7680

470

TABLE 11

Cubic-foot volume per acre--trees larger than 55 inches dbh

S ite index (feet)

60 70 90 100 110 120

---------------------- Cubic feet ----------------------shy

120 240 350

260 470 680 900 1 110 1320 1530

700 1010 1320 1620 1930 2240 254020

25 1100 1500 1900 2300 2700 3100 3500

1440 1940 2430 2930 3420 3920 4410

1740 2320 2910 3500 4090 4680 5270

1980 2660 3350 4030 4 720 5400 6080 -

2170 2950 3730 4510 5290 6070 6840

so 2320 3190 4060 4940 5810 6680 7560

2410 82203380 4350 5320 6280 7250

2460 3520 4580 5640 6 710 7 770 8830

65 8240 93903610 4770 5 92() 7080

70 4900 6150 7400 8650 9900

75 6330 9020 10360

80 7900 9340 10780

Cubic feet - 94913 + 104598 (age) - 0996486 (age)2 - 7068l (site index) + 18869ll (site index)(age)

Tree volume is for stem to a 4shy inch top d i b stump excluded Table 93 Volume Tables for Pacif ic Northwest Trees comp iled by F Johnson US Dept Agr Handb 92 122 tables 1955 )

(From A

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 30: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

J r

FIGURE 12

Cubic-foot volume per acre--trees larger than 95 inches db h

VOLUME

10800 Cubic Feet

4800

3600

20 30 40 50 60 70 so

AGE ( Years

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 31: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

I

1

I

I

I ------------------------- ------------ - - -----------

60 80

20

25

30

35

40

45

so

60

75

80

430

so 440

570

560 820

820

9340

75 60

TABLE 12

Cubic-foot volume per acre--trees larger than 95 inches dbh

Si te index (feet) Age (years)

70 90 100 110 120

---- - ---------- ------- Cubic feet ----------- -- - ---------30 300

1200 1580 1960

2060 2560 3060107070 1560

1040 1660 2270 2880 3500 4 110

740 1470 2200 2940 3660 4400 5130

1020 1870 2 710 3560 4410 5250 6 100

1250 2220 3 180 4140 5110 6070 7030

55 1450 2530 3610 4690 5 770 6850 7920

1600 2800 3990 5190 6390 7580 8830

65 1 710 3030 4340 5650 6960 8240 9390

70 1790 3220 4640 6070 7400 8650 9900

3360 4910 6330 7680 9020 10360

7900 10780

70 65Merging age

Up to merging age Cubic feet= - 171181 - 1S7088 (age) - 0811366 (age)2

- 20 118l (site index) + 2328763 (site index) (age)

Above merging age Cubic feet= - 94913 + 104598 (age) - 0996486 (age)2

- 7068l (site index) + 18869ll (site index) (age)

Tree volume is for stem to a 4-inch top di b stump excluded (From Table 93 Volume Tables for Pacific Northwest Trees 11 compiled by F A Johnson US Dept Agr Handb 92 122 tables 1955)

Merging age= 1200 - OS (site index)

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 32: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

middot

1------+------l-------J-

1-------1-------1----

FIGURE 13

Board-foo t volume per acre (Scribner rule)-shytrees larger than 95 inches dbh

V OLUME

72000 Board Feet

43200

36000

20 30 40 50 60 70

AGE ( Years

80

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60

Page 33: GEOGE R. AEBLE-hsc.forestry.oregonstate.edu/sites/hsc/files/Worthington et al 1960.pdf · Multiple regression analyses were used to calculate the formulas that express the basic relations

- -

- -

- -- -

95

----------------------

25

65

75

65

TABLE 13

Board-foot volume per (Scribner rule)-shyacre trees larger than inches dbh

Site index (feet)Age (years) 60 70 80 90 100 110 120

-Board feet ------- ---- ----------shy

20 100 1200 2400 3500

1800 3500 5200 6900 8800

30 300 4600 6800 920( 11700 14300 35 1800 4500 7300 10300 13400 16600 20000 40 3200 6500 10000 13700 17600 21 700 26000 45 4500 8400 12700 17100 21900 26900 32100

8200 15 100 22500 30600 39200 48100 56800

50 5600 10300 15300 20600 26200 32100 38400

55 6600 12000 17800 24000 30500 37500 44800 60 7500 13600 20200 27300 34900 42 900 51700

70 8700 24 700 3380( 42800 52100 61900

26800 36100 45700 55900 66800

80 28100 37800 48300 59600 71600

------------------------- Years ----------- -- -----------shy

Merging age 75 70

Up to merging age Board feet 596407 700932 (site index) =

- age(54 7306 - 7550025 (site index) + 0006623 (site index)2J - age2[2826865

-- age3[o000267 (si te index)]

Above merging age Board feet= 330685 246260 (site index)

+ 0005172 (site index) 0000767 (site index)2]

+ age[364429 + 626167l (site index) 0002327 (site index)2] age2[3471836 0003444 (site index) 000062l (site index)2 ]

- age3[0000328 (site index))

Tree volume is for s temmiddotto an 8-inch top dib s tump excluded Logs scaled in 8-foot lengths (From Table 97 Volume Tables for Pacific Northshywes t Trees compiled by F A Johnson US Dep t Agr Handb 92 122 tables 1955)

Merging age = 1200 - 05 (site index)

GPO 994842

60