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Relations Between National Research Investment Input and Publication Output: Application to an American Paradox R. D. Shelton Sponsored by a sabbatical from Loyola and NSF Grant ENG- 0423742

R. D. Shelton

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Relations Between National Research Investment Input and Publication Output: Application to an American Paradox. R. D. Shelton. Sponsored by a sabbatical from Loyola and NSF Grant ENG-0423742. What’s the Problem?. - PowerPoint PPT Presentation

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  • Relations Between National Research Investment Input and Publication Output: Application to an American ParadoxR. D. Shelton

    Sponsored by a sabbatical from Loyola and NSF Grant ENG-0423742

  • Whats the Problem?European Paradox is the perceived failure of Europe to cash in on its leadership of science publishingI use "American Paradox" to mean the long term decline in U.S. share of science publishing, despite world-leading investments in R&D, particularly as that decline has become worseWhy is todays subjectThe methods are also useful for other countries; e.g. the EU is developing the same syndrome

  • The American Paradox: Declining SCI Paper Shares Despite Huge R&D Investments (GERD*)

    *Gross domestic expenditures on R&D (OECD Constant $ PPP), paper share from NSI CD 2004.

    Paper Share %NSF analyzed paradox for 6 years.

    GERD $Billions320

    160

    Chart1

    18.187439.74

    20.29147539.57

    22.60077539.03

    25.71862539.3

    28.804739.05

    30.1404538.88

    31.66662538.78

    33.55052538.61

    35.556438.5

    38.09717538.55

    40.3469538.83

    41.45867537.86

    41.53662538.16

    42.40312537.07

    46.0192537.01

    49.44802535.82

    53.177235.28

    57.02712534.73

    61.3689534.18

    66.94187533.94

    69.4550533.98

    69.0650533.55

    73.1093533.43

    US GERD

    US Paper Share

    Sheet1

    From ISI 2006

    1EUROPEAN UNIONall fields198132.321396064319611USAall fields198139.55170826431961

    2EUROPEAN UNIONall fields198232.391434884429662USAall fields198239.39174505442966

    3EUROPEAN UNIONall fields198332.621474044519413USAall fields198338.86175626451941

    4EUROPEAN UNIONall fields198432.421467014525404USAall fields198439.14177111452540

    5EUROPEAN UNIONall fields198532.661583224847055USAall fields198538.9188530484705

    6EUROPEAN UNIONall fields198632.911654565027856USAall fields198638.73194750502785

    7EUROPEAN UNIONall fields198733.111662125020027USAall fields198738.65194016502002

    8EUROPEAN UNIONall fields198832.761708715216258USAall fields198838.48200709521625

    9EUROPEAN UNIONall fields198933.211802105426529USAall fields198938.33207993542652

    10EUROPEAN UNIONall fields199033.418629955778910USAall fields199038.41214249557789

    11EUROPEAN UNIONall fields199133.7119193356944011USAall fields199138.69220323569440

    12EUROPEAN UNIONall fields199234.3720858460686012USAall fields199237.74229036606860

    13EUROPEAN UNIONall fields199335.0821060760031213USAall fields199338.02228268600312

    14EUROPEAN UNIONall fields199436.7423347663543114USAall fields199436.96234849635431

    15EUROPEAN UNIONall fields199537.0124631366552115USAall fields199536.89245509665521

    16EUROPEAN UNIONall fields199637.8825606267603116USAall fields199635.71241411676031

    17EUROPEAN UNIONall fields199738.3826131268085517USAall fields199735.19239596680855

    18EUROPEAN UNIONall fields199839.3927850370700618USAall fields199834.61244664707006

    19EUROPEAN UNIONall fields199939.3428367272109619USAall fields199934.06245630721096

    20EUROPEAN UNIONall fields200039.4328314271805920USAall fields200033.81242790718059

    21EUROPEAN UNIONall fields200139.4429061473691121USAall fields200133.87249569736911

    22EUROPEAN UNIONall fields200238.9128525473307622USAall fields200233.44245111733076

    23EUROPEAN UNIONall fields200338.5630746979734423USAall fields200333.34265808797344

    24EUROPEAN UNIONall fields200437.9729119576698124USAall fields200433.21254740766981

    25EUROPEAN UNIONall fields200537.833367888286025USAall fields200532.7288714882860

    GERD

    INDICATOR: 1. Gross Domestic Expenditure on R&D -- GERD (million current PPP $)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    EU25............................138545.1144346.5151113.6158447.8169207.7182728.5194898.6205171.8211252.8....

    EU1556911.5..66437.172177.380180.585237.591770.498690106948.8115239.5121281.3123770.4125963.8128859.5133650.4139159.1145364.8152508.9163028.1176039.5187664.6197664.2203519.6....

    INDICATOR: 1. Gross Domestic Expenditure on R&D -- GERD (million current PPP $)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    United States72749.681165.990403.1102874.5115218.8120561.8126666.5134202.1142225.6152388.7161387.8165834.7166146.5169612.5184077197792.1212708.8228108.5245475.8267767.5277820.2276260.2292437.4312535.4..

    Paper Share

    from 2006 CD

    EU2532.3232.3932.6232.4232.6632.9133.1132.7633.2133.433.7134.3735.0836.7437.0137.8838.3839.3939.3439.4339.4438.9138.5637.9737.8

    US39.5539.3938.8639.1438.938.7338.6538.4838.3338.4138.6937.7438.0236.9636.8935.7135.1934.6134.0633.8133.8733.4433.3433.2132.7

    Paper Share

    from 2004 CD

    EU1530.5830.8830.9430.7831.2231.4931.7431.3931.8232.0932.4133.1333.7134.7835.0435.8536.3837.3637.2337.2237.1936.5936.22

    US39.7439.5739.0339.339.0538.8838.7838.6138.538.5538.8337.8638.1637.0737.0135.8235.2834.7334.1833.9433.9833.5533.43

    GERDEU1556.911566.437172.177380.180585.237591.770498.69106.9488115.2395121.2813123.7704125.9638128.8595133.6504139.1591145.3648152.5089163.0281176.0395187.6646197.6642203.5196....

    US72.749681.165990.4031102.8745115.2188120.5618126.6665134.2021142.2256152.3887161.3878165.8347166.1465169.6125184.077197.7921212.7088228.1085245.4758267.7675277.8202276.2602292.4374312.5354..

    GERD/4EU1514.22787516.60927518.04432520.04512521.30937522.942624.672526.737228.80987530.32032530.942631.4909532.21487533.412634.78977536.341238.12722540.75702544.00987546.9161549.4160550.8799

    US18.187420.29147522.60077525.71862528.804730.1404531.66662533.55052535.556438.09717540.3469541.45867541.53662542.40312546.0192549.44802553.177257.02712561.3689566.94187569.4550569.0650573.1093578.13385

    Paper ShareEU1530.5830.8830.9430.7831.2231.4931.7431.3931.8232.0932.4133.1333.7134.7835.0435.8536.3837.3637.2337.2237.1936.5936.22

    2004 CDUS39.7439.5739.0339.339.0538.8838.7838.6138.538.5538.8337.8638.1637.0737.0135.8235.2834.7334.1833.9433.9833.5533.43

    1EUROPEAN UNIONall fields198130.58133006434969

    2EUROPEAN UNIONall fields198230.88137690445949

    3EUROPEAN UNIONall fields198330.94140685454746

    4EUROPEAN UNIONall fields198430.78140158455295

    5EUROPEAN UNIONall fields198531.22152273487682

    6EUROPEAN UNIONall fields198631.49159279505851

    7EUROPEAN UNIONall fields198731.74160195504640

    8EUROPEAN UNIONall fields198831.39164572524364

    9EUROPEAN UNIONall fields198931.82173609545609

    10EUROPEAN UNIONall fields199032.09179990560819

    11EUROPEAN UNIONall fields199132.41185534572530

    12EUROPEAN UNIONall fields199233.13202089609955

    13EUROPEAN UNIONall fields199333.71203318603190

    14EUROPEAN UNIONall fields199434.78222021638384

    15EUROPEAN UNIONall fields199535.04234110668182

    16EUROPEAN UNIONall fields199635.85243042677996

    17EUROPEAN UNIONall fields199736.38248520683063

    18EUROPEAN UNIONall fields199837.36264816708862

    19EUROPEAN UNIONall fields199937.23269262723210

    20EUROPEAN UNIONall fields200037.22268418721087

    21EUROPEAN UNIONall fields200137.19275149739891

    22EUROPEAN UNIONall fields200236.59269215735834

    23EUROPEAN UNIONall fields200336.22289471799147

    24USAall fields198139.74172836434969

    25USAall fields198239.57176452445949

    26USAall fields198339.03177469454746

    27USAall fields198439.3178937455295

    28USAall fields198539.05190460487682

    29USAall fields198638.88196657505851

    30USAall fields198738.78195707504640

    31USAall fields198838.61202466524364

    32USAall fields198938.5210036545609

    33USAall fields199038.55216194560819

    34USAall fields199138.83222306572530

    35USAall fields199237.86230936609955

    36USAall fields199338.16230155603190

    37USAall fields199437.07236625638384

    38USAall fields199537.01247280668182

    39USAall fields199635.82242828677996

    40USAall fields199735.28240989683063

    41USAall fields199834.73246160708862

    42USAall fields199934.18247213723210

    43USAall fields200033.94244754721087

    44USAall fields200133.98251380739891

    45USAall fields200233.55246885735834

    46USAall fields200333.43267162799147

    Sheet1

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    EU15 GERD

    US GERD

    EU15 Paper Share

    US Paper Share

    Sheet2

    Sheet3

  • EU Recently Developed the Same SyndromePaper Share %GERD $Billions320160

    Chart1

    14.22787518.187430.5839.74

    198220.29147530.8839.57

    16.60927522.60077530.9439.03

    18.04432525.71862530.7839.3

    20.04512528.804731.2239.05

    21.30937530.1404531.4938.88

    22.942631.66662531.7438.78

    24.672533.55052531.3938.61

    26.737235.556431.8238.5

    28.80987538.09717532.0938.55

    30.32032540.3469532.4138.83

    30.942641.45867533.1337.86

    31.4909541.53662533.7138.16

    32.21487542.40312534.7837.07

    33.412646.0192535.0437.01

    34.78977549.44802535.8535.82

    36.341253.177236.3835.28

    38.12722557.02712537.3634.73

    40.75702561.3689537.2334.18

    44.00987566.94187537.2233.94

    46.9161569.4550537.1933.98

    49.4160569.0650536.5933.55

    50.879973.1093536.2233.43

    EU15 GERD

    US GERD

    EU15 Paper Share

    US Paper Share

    Sheet1

    From ISI 2006

    1EUROPEAN UNIONall fields198132.321396064319611USAall fields198139.55170826431961

    2EUROPEAN UNIONall fields198232.391434884429662USAall fields198239.39174505442966

    3EUROPEAN UNIONall fields198332.621474044519413USAall fields198338.86175626451941

    4EUROPEAN UNIONall fields198432.421467014525404USAall fields198439.14177111452540

    5EUROPEAN UNIONall fields198532.661583224847055USAall fields198538.9188530484705

    6EUROPEAN UNIONall fields198632.911654565027856USAall fields198638.73194750502785

    7EUROPEAN UNIONall fields198733.111662125020027USAall fields198738.65194016502002

    8EUROPEAN UNIONall fields198832.761708715216258USAall fields198838.48200709521625

    9EUROPEAN UNIONall fields198933.211802105426529USAall fields198938.33207993542652

    10EUROPEAN UNIONall fields199033.418629955778910USAall fields199038.41214249557789

    11EUROPEAN UNIONall fields199133.7119193356944011USAall fields199138.69220323569440

    12EUROPEAN UNIONall fields199234.3720858460686012USAall fields199237.74229036606860

    13EUROPEAN UNIONall fields199335.0821060760031213USAall fields199338.02228268600312

    14EUROPEAN UNIONall fields199436.7423347663543114USAall fields199436.96234849635431

    15EUROPEAN UNIONall fields199537.0124631366552115USAall fields199536.89245509665521

    16EUROPEAN UNIONall fields199637.8825606267603116USAall fields199635.71241411676031

    17EUROPEAN UNIONall fields199738.3826131268085517USAall fields199735.19239596680855

    18EUROPEAN UNIONall fields199839.3927850370700618USAall fields199834.61244664707006

    19EUROPEAN UNIONall fields199939.3428367272109619USAall fields199934.06245630721096

    20EUROPEAN UNIONall fields200039.4328314271805920USAall fields200033.81242790718059

    21EUROPEAN UNIONall fields200139.4429061473691121USAall fields200133.87249569736911

    22EUROPEAN UNIONall fields200238.9128525473307622USAall fields200233.44245111733076

    23EUROPEAN UNIONall fields200338.5630746979734423USAall fields200333.34265808797344

    24EUROPEAN UNIONall fields200437.9729119576698124USAall fields200433.21254740766981

    25EUROPEAN UNIONall fields200537.833367888286025USAall fields200532.7288714882860

    GERD

    INDICATOR: 1. Gross Domestic Expenditure on R&D -- GERD (million current PPP $)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    EU25............................138545.1144346.5151113.6158447.8169207.7182728.5194898.6205171.8211252.8....

    EU1556911.5..66437.172177.380180.585237.591770.498690106948.8115239.5121281.3123770.4125963.8128859.5133650.4139159.1145364.8152508.9163028.1176039.5187664.6197664.2203519.6....

    INDICATOR: 1. Gross Domestic Expenditure on R&D -- GERD (million current PPP $)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    United States72749.681165.990403.1102874.5115218.8120561.8126666.5134202.1142225.6152388.7161387.8165834.7166146.5169612.5184077197792.1212708.8228108.5245475.8267767.5277820.2276260.2292437.4312535.4..

    Paper Share

    from 2006 CD

    EU2532.3232.3932.6232.4232.6632.9133.1132.7633.2133.433.7134.3735.0836.7437.0137.8838.3839.3939.3439.4339.4438.9138.5637.9737.8

    US39.5539.3938.8639.1438.938.7338.6538.4838.3338.4138.6937.7438.0236.9636.8935.7135.1934.6134.0633.8133.8733.4433.3433.2132.7

    Paper Share

    from 2004 CD

    EU1530.5830.8830.9430.7831.2231.4931.7431.3931.8232.0932.4133.1333.7134.7835.0435.8536.3837.3637.2337.2237.1936.5936.22

    US39.7439.5739.0339.339.0538.8838.7838.6138.538.5538.8337.8638.1637.0737.0135.8235.2834.7334.1833.9433.9833.5533.43

    GERDEU1556.911566.437172.177380.180585.237591.770498.69106.9488115.2395121.2813123.7704125.9638128.8595133.6504139.1591145.3648152.5089163.0281176.0395187.6646197.6642203.5196....

    US72.749681.165990.4031102.8745115.2188120.5618126.6665134.2021142.2256152.3887161.3878165.8347166.1465169.6125184.077197.7921212.7088228.1085245.4758267.7675277.8202276.2602292.4374312.5354..

    GERD/4EU1514.22787516.60927518.04432520.04512521.30937522.942624.672526.737228.80987530.32032530.942631.4909532.21487533.412634.78977536.341238.12722540.75702544.00987546.9161549.4160550.8799

    US18.187420.29147522.60077525.71862528.804730.1404531.66662533.55052535.556438.09717540.3469541.45867541.53662542.40312546.0192549.44802553.177257.02712561.3689566.94187569.4550569.0650573.1093578.13385

    Paper ShareEU1530.5830.8830.9430.7831.2231.4931.7431.3931.8232.0932.4133.1333.7134.7835.0435.8536.3837.3637.2337.2237.1936.5936.22

    2004 CDUS39.7439.5739.0339.339.0538.8838.7838.6138.538.5538.8337.8638.1637.0737.0135.8235.2834.7334.1833.9433.9833.5533.43

    1EUROPEAN UNIONall fields198130.58133006434969

    2EUROPEAN UNIONall fields198230.88137690445949

    3EUROPEAN UNIONall fields198330.94140685454746

    4EUROPEAN UNIONall fields198430.78140158455295

    5EUROPEAN UNIONall fields198531.22152273487682

    6EUROPEAN UNIONall fields198631.49159279505851

    7EUROPEAN UNIONall fields198731.74160195504640

    8EUROPEAN UNIONall fields198831.39164572524364

    9EUROPEAN UNIONall fields198931.82173609545609

    10EUROPEAN UNIONall fields199032.09179990560819

    11EUROPEAN UNIONall fields199132.41185534572530

    12EUROPEAN UNIONall fields199233.13202089609955

    13EUROPEAN UNIONall fields199333.71203318603190

    14EUROPEAN UNIONall fields199434.78222021638384

    15EUROPEAN UNIONall fields199535.04234110668182

    16EUROPEAN UNIONall fields199635.85243042677996

    17EUROPEAN UNIONall fields199736.38248520683063

    18EUROPEAN UNIONall fields199837.36264816708862

    19EUROPEAN UNIONall fields199937.23269262723210

    20EUROPEAN UNIONall fields200037.22268418721087

    21EUROPEAN UNIONall fields200137.19275149739891

    22EUROPEAN UNIONall fields200236.59269215735834

    23EUROPEAN UNIONall fields200336.22289471799147

    24USAall fields198139.74172836434969

    25USAall fields198239.57176452445949

    26USAall fields198339.03177469454746

    27USAall fields198439.3178937455295

    28USAall fields198539.05190460487682

    29USAall fields198638.88196657505851

    30USAall fields198738.78195707504640

    31USAall fields198838.61202466524364

    32USAall fields198938.5210036545609

    33USAall fields199038.55216194560819

    34USAall fields199138.83222306572530

    35USAall fields199237.86230936609955

    36USAall fields199338.16230155603190

    37USAall fields199437.07236625638384

    38USAall fields199537.01247280668182

    39USAall fields199635.82242828677996

    40USAall fields199735.28240989683063

    41USAall fields199834.73246160708862

    42USAall fields199934.18247213723210

    43USAall fields200033.94244754721087

    44USAall fields200133.98251380739891

    45USAall fields200233.55246885735834

    46USAall fields200333.43267162799147

    Sheet1

    EU15 GERD

    US GERD

    EU15 Paper Share

    US Paper Share

    Sheet2

    Sheet3

  • OutlineIs it just that the SCI is a rubber ruler? (Hint: no)Which inputs are most important: a regression approach (Hint: look for the money, but not just any money.)A theory that can account for U.S. (and EU) decline, and forecast the future (Hint: it's simple, m = kw)

  • 1. Is it Just That the SCI is a Rubber Ruler?

    Hypothesis: In response to criticism that it is biased toward English language and the U.S., the Science Citation Index may have changed to be less favorable to the U.S. This could account for some of the rapid decline in U.S. publication since 1995.Method: For a sample of 8 fields, partition their journals into 2 sets: New journals added to the SCI after 1994, and Old added before.Then measure U.S. share of each journal to see if difference between Old and New is significant

  • Example Analysis of U.S. Share in SCI

    Chart2

    51.02682313551.0268231350

    47.70020157647.7002015760

    47.730739893247.73073989320

    49.812734082449.81273408240

    53.165457390853.357193987122.7272727273

    44.966540587746.811126479212.2615803815

    47.490266231750.180464696610.0470957614

    49.50233597452.641291810826.3605442177

    US Share

    Share Old Journals

    Share New Journals

    Percent

    US Share of Space Science Papers

    Sheet1

    DateAnalyst_________Field_________

    Number of Papers in Old Journals vs. New Journals

    World TotalUS Total

    1983198619891992199519982001200419831986198919921995199820012004

    New Journals

    Grp No

    100004436763711760000104564310

    2

    3

    4

    New Totals00004436763711760000104564310

    Old Journals

    Grp No

    14772545752445607698565078866867024352603250327933727304644494564

    2

    3

    4

    5

    6

    7

    8

    9

    10

    Old Totals4772545752445607698565078866867024352603250327933727304644494564

    Grand Totals4772545752445607702968749503984624352603250327933737309145134874

    Share51.02682313547.70020157647.730739893249.812734082453.165457390844.966540587747.490266231749.502335974

    Share Old51.02682313547.70020157647.730739893249.812734082453.357193987146.811126479250.180464696652.6412918108

    Share New000022.727272727312.261580381510.047095761426.3605442177

    Sheet1

    000

    000

    000

    000

    000

    000

    000

    000

    US Share

    Share Old Journals

    Share New Journals

    Percent

    US Share of Space Science Papers

    Sheet2

    DateAnalyst_________Field_________

    Number of Papers in Old Journals vs. New Journals

    World TotalUS Total

    1983198619891992199519982000200120022003200419831986198919921995199820002001200220032004

    New Journals

    Grp No

    100004436754763768610521176000010457264131251310

    2

    3

    4

    New Totals00004436754763768610521176000010457264131251310

    Old Journals

    Grp No

    14772545752445607698565078123886683559057867024352603250327933727304642024449416647034564

    2

    3

    4

    5

    6

    7

    8

    9

    10

    Old Totals4772545752445607698565078123886683559057867024352603250327933727304642024449416647034564

    Grand Totals47725457524456077029687486709503904110109984624352603250327933737309142744513429749544874

    Share51.02682313547.70020157647.730739893249.812734082453.165457390844.966540587749.296424452147.490266231747.527928326549.005836383449.502335974

    Share Old51.02682313547.70020157647.730739893249.812734082453.357193987146.811126479251.729656530850.180464696649.862357869551.926686540852.6412918108

    Share New000022.727272727312.261580381513.162705667310.047095761419.096209912523.859315589426.3605442177

    Sheet2

    000

    000

    000

    000

    000

    Overall Share

    Old Journal Share

    New Journal Share

    Expanded Scale for Recent Years Space Sci

    Sheet3

  • Sample of 8 Fields of ScienceWorking paper at http://itri2.org/Bpaper/current.doc

    Chart1

    49.50233597452.641291810826.3605442177

    44.323867239844.568399398742.3324742268

    30.299832391831.248511786626.8945868946

    25.885712090825.590106963927.5752364574

    33.713692946135.174471713121.055408971

    17.788606148117.837198121217.5769292734

    35.290264472334.256329113938.0089153046

    28.421245086428.05522413529.9275192892

    28.876410004929.192896739627.2729977389

    All Journals

    Old Journals

    New Journals

    Percent

    US Share of Journals

    Sheet1

    Table 4. US Share in Percent

    19891995200420042004

    JournalsAllAllAllOldNew

    Field

    Space Science47.753.449.552.626.4

    Immunology42.743.544.344.642.3

    Math41.136.630.331.226.9

    Engineering35.632.225.925.627.6

    MicroBiology35.734.133.735.221.1

    Materials Science27.026.117.817.817.6

    Computer Science41.937.535.334.338.0

    Pharmacology34.233.528.428.129.9

    Totals36.334.128.929.227.3

    Sheet1

    All Journals

    Old Journals

    New Journals

    Percent

    US Share of Journals

    Sheet2

    Sheet3

  • Conclusions from Bias StudyIn some fields (space science, math, and microbiology) New journals were much less favorable to the U.S. But, in some fields the opposite was true In aggregate over 8 fields the change in bias was too small to account for the sharp changes in national shares Most share differences between Old and New journals are not statistically significantTherefore, hypothesis is not proven, and is unlikely over 24 fields in the National Science Indicator CD Thus the shifts in national shares are real, and are probably not an artifact of the SCI database

  • 2. Since Total GERD Is Not Increasing U.S. Papers, Which Inputs are Most Important?

    Multiple Linear Regression Can Help Identify WhichNational Publication Systems (The Black Box)Resources In

    Papers Out

  • A Simple Regression Scattergram for 1999This example has only one IV, of course.

    Regression Line: Papers99 = 4282 + 0.950 GERD99 Slope is about 1 paper / $1 million, and R = 0.983.U.S. and Japan are far off the graph to the upper right

  • Multiple Linear Regressions: Drilling Down with 2 Independent Variables (IV) per LevelDV is papers out. Significance level is 0.05, but IV1 is always very significant (Sig. 0.000). R > 0.9 always.Level1. IV1 = GERD (Total national R&D) IV2 = Number of Researchers (not significant)

    Level2. IV1 = Government Investment part of GERD IV2 = Private Sector Investment (not significant)

    Level3. IV1 = Civil Part of Government Investment IV2 = Government Defense Investment (less significant and a smaller coefficient)

    Details in table in Appendix

  • Regression Findings: In Producing PapersResearch investments are much more important than the number of researchers. Government investments are much more important than those from industry. Government investments in non-defense sectors are somewhat more important than their investment in defense. For 2003 the ratio of their IV coefficients has increased to 2. Not surprising to bibliometricians, but regression quantifies these statements. Causality cant be proven, but strong and weak associations can be found.

  • Is This Why the EU Passed the U.S. in Science Publishing in 1995? (Greater Government Non-Defense R&D)May account for EU gaining on U.S. before 1995, but we still need to find why loss of U.S. share accelerated then, here shown as leveling of US Papers curve

    Chart1

    13300624487.69417283615315.69

    13769026892.641617645214048.735

    14068528597.946917746913840.176

    14015830289.03417893714944.332

    15227332419.095819046016213.275

    15927933747.9819665716347.443

    16019535857.384519570717919.666

    16457237882.692120246619032.132

    17360940146.670421003621429.675

    17999043273.081121619423854.094

    18553447538.288622230626556.491

    20208949230.643323093628316.772

    20331849408.57923015528652.44

    22202149216.48723662530543.957

    23411051333.32624728031575.069

    24304252864.585224282831279.197

    24852053997.516424098932029.0251

    26481654937.130424616033768.0333

    26926256760.0324721336334.1628

    26841863070.358424475440468.45

    27514962850.778225138045295.0245

    26921560561.428424688549364.1593

    28947162033.65326716247580.3965

    EU15 Papers

    EU15 Govt Civil R&D

    US Papers

    US Govt Civil R&D

    Papers and $Million

    US and EU Papers and Government Civil R&D

    Sheet1

    INDICATOR: 60. Defence Budget R&D as a percentage of Total GBAORD

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    EU152321.922.122.823.322.822.322.122.422.720.619.118.617.916.416.315.614.814.513.615.416.416.5....

    INDICATOR: 60. Defence Budget R&D as a percentage of Total GBAORD

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    United States54.661.164.366.267.569.368.667.865.562.659.758.65955.354.154.755.354.153.251.650.552.159.755.856.6

    INDICATOR: 59. Total Government Budget Appropriations or Outlays for R&D -- GBAORD (million current PPP $)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    EU1531802.234433.636711.139234.542267.44371546148.548629.951735.455980.759871.960853.760698.55994761403.563159.663978.164480.26638672998.174291.772441.974291.8....

    INDICATOR: 59. Total Government Budget Appropriations or Outlays for R&D -- GBAORD (million current PPP $)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    United States3373536115387684421449887532495706959106621156378165897683986988468331687916904971653.373568.777637.183612.591505.1103056.7118065.5126451.5131906.1

    EU15 Govt

    Civil2448826893285983028932419337483585737883401474327347538492314940949216513335286553998549375676063070628516056162034

    Defense731575418113894598489967102911074711589127081233411623112901073110070102959981954396269928114411188012258

    US Govt

    Civil1531614049138401494416213163471792019032214302385426556283172865230544315753127932029337683633440468452954936447580

    Defense1841922066249282927033674369023914940074406853992739341400814123237787372163777039624398014130343144462105369370485

    PapersEU15 GovtPapersUS Govt24USAall fields1981172836

    YearEU-15CivilDefenseUSCivilDefense25USAall fields1982176452

    1EUROPEAN UNIONall fields198113300624487.6947314.50617283615315.6918419.3126USAall fields1983177469

    2EUROPEAN UNIONall fields198213769026892.64167540.958417645214048.73522066.26527USAall fields1984178937

    3EUROPEAN UNIONall fields198314068528597.94698113.153117746913840.17624927.82428USAall fields1985190460

    4EUROPEAN UNIONall fields198414015830289.0348945.46617893714944.33229269.66829USAall fields1986196657

    5EUROPEAN UNIONall fields198515227332419.09589848.304219046016213.27533673.72530USAall fields1987195707

    6EUROPEAN UNIONall fields198615927933747.989967.0219665716347.44336901.55731USAall fields1988202466

    7EUROPEAN UNIONall fields198716019535857.384510291.115519570717919.66639149.33432USAall fields1989210036

    8EUROPEAN UNIONall fields198816457237882.692110747.207920246619032.13240073.86833USAall fields1990216194

    9EUROPEAN UNIONall fields198917360940146.670411588.729621003621429.67540685.32534USAall fields1991222306

    10EUROPEAN UNIONall fields199017999043273.081112707.618921619423854.09439926.90635USAall fields1992230936

    11EUROPEAN UNIONall fields199118553447538.288612333.611422230626556.49139340.50936USAall fields1993230155

    12EUROPEAN UNIONall fields199220208949230.643311623.056723093628316.77240081.22837USAall fields1994236625

    13EUROPEAN UNIONall fields199320331849408.57911289.92123015528652.4441231.5638USAall fields1995247280

    14EUROPEAN UNIONall fields199422202149216.48710730.51323662530543.95737787.04339USAall fields1996242828

    15EUROPEAN UNIONall fields199523411051333.32610070.17424728031575.06937215.93140USAall fields1997240989

    16EUROPEAN UNIONall fields199624304252864.585210295.014824282831279.19737769.80341USAall fields1998246160

    17EUROPEAN UNIONall fields199724852053997.51649980.583624098932029.025139624.274942USAall fields1999247213

    18EUROPEAN UNIONall fields199826481654937.13049543.069624616033768.033339800.666743USAall fields2000244754

    19EUROPEAN UNIONall fields199926926256760.039625.9724721336334.162841302.937244USAall fields2001251380

    20EUROPEAN UNIONall fields200026841863070.35849927.741624475440468.4543144.0545USAall fields2002246885

    21EUROPEAN UNIONall fields200127514962850.778211440.921825138045295.024546210.075546USAall fields2003267162

    22EUROPEAN UNIONall fields200226921560561.428411880.471624688549364.159353692.5407

    23EUROPEAN UNIONall fields200328947162033.65312258.14726716247580.396570485.1035

    Sheet1

    EU Civil

    EU Defense

    US Civil

    US Defense

    $Millions Current PPP

    Govt R&D Investment

    Sheet2

    EU15 Papers

    EU15 Govt Civil R&D

    US Papers

    US Govt Civil R&D

    Papers and $Million

    US and EU Papers and Government Civil R&D

    Sheet3

  • Conclusions from RegressionMoney is the key input variable, but some types of investments are more effectiveU.S. Government investments are not as efficient at producing papers as in the EU: too much defense R&D, and not enough NSFThese inefficiencies may account for the EU passing the U.S. in papers, but are not large enough to account for the recent sharp decline in U.S. paper share

  • 3. A Theory That Can Account for U.S. Decline, and Predict its (Bleak) Future

    Since we cant blame the recent sharp decline in U.S. share on a rubber ruler from SCI or inefficient allocations by the U.S., we have to cast a wider net overseas, in fact.We will look at four regions: US, EU-15, "Asian Tigers" (China, Taiwan, S. Korea, and Singapore), and rest of the world (ROW). Usually the world will be the OECD countries, including affiliates.

  • More Detailed Model of Publication System (Inside the Black Box)$ InputsUSEUATROWPapersPublishedNational Research Systems -- Fairly IndependentHighly Interdependent Paper SelectionJournalEditorsg1p1G (total)P (total)wi = gi/GGERD sharemi = pi/PPaper share

  • Search for a Model of SystemSince SCI does not increase P much in a year, total papers is almost a zero-sum game, and is one for share mi (on a fractional count basis)Thus competition with other nations strongly influences U.S. successWe know that the critical input is money, but we need a U.S. series that declines to get a strong positive R with declining U.S. paper share

  • US GERD has risen, but others have risen faster. Is the shape of this curve familiar? An Input Series that Involves Both the Investments of the U.S. and Others.

    Chart1

    44.521076953144.5210769531

    44.743254013444.7432540134

    45.47825603245.1054316583

    46.355476232846.3554762328

    46.324016837545.9747642567

    45.998058137545.9980581375

    45.293817634244.9994056341

    44.690019590344.6900195903

    43.788162057143.5282344044

    43.231074763840.1164380751

    42.282841991238.443247162

    42.271505539239.6033295772

    41.826759246338.8862442025

    41.511854730638.714176427

    41.727306545638.5726492626

    42.120358101138.6820418416

    42.596494312338.6000753243

    43.276343037639.2961878794

    43.679818682139.168788139

    43.865164168138.7156111971

    43.078828368537.4451483745

    42.421352956136.2845514236

    42.062953954235.3930296937

    US Share of OECD

    US Share of OECD and Affliates

    Percent

    wus = U.S. Share of GERD

    Sheet1

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    United States123126.6129683.4138972152357.1165548169413.7172997.2177320.3181071.1186728.5191111.3191823.4188041.9187950.9199886.4210716.4222916.4235058.4249343.1265194268294.9266177.7268439....

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    Total OECD276558289839305579328671.2357369.7368306.2381944.4396778.3413516.1431931.2451983.1453788.9449573.2452764.4479030.2500272.1523321543156.8570842.8604566.3622799.9627461.6638183.9....

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    Argentina..............................1704.21851.71884.92007.31927.61782.91454.91670.1....

    China....................14841.517081.61867519233.519348.421190.226457.82934236955.74830055560.668827.380606.6....

    Israel....................2063.42259.72434.92594.52853.531823552.83890.64588.76047.26389.86443.16375.66540.3..

    Romania....................1036.91021.61117.5984.11089.2998.2770620.6503.3470.9531.5538.5599.3....

    Russian Federation..................33535.124190.9102109217.987527850.88690.39406.18443.29799.711066.913038.514481.716028.2....

    Singapore..........................705.88041044.21221.31480.31654.51801.51969.22077.32084.4....

    Slovenia........................388449.1421.5371.4383.2413.8449473.1525.2532.5......

    South Africa....2525.8..2714.8..2498.9..2469.3..3010..2162.7......2405.5......3249.3........

    Chinese Taipei............................681072878133.18938.89785.21032610654.211767.212903.5....

    Total Affliates002525.802714.802498.902469.333535.145142.730572.9339963271939177.444467.554181.555014.265743.480413.293701.2106122.5120267.76540.3

    Total OECD276558289839308104.8328671.2360084.5368306.2384443.3396778.3415985.4465466.3497125.8484361.8483569.2485483.4518207.6544739.6577502.5598171636586.2684979.5716501.1733584.1758451.6

    plus affliates

    US GERD Share

    Share of OECD44.521076953144.743254013445.47825603246.355476232846.324016837545.998058137545.293817634244.690019590343.788162057143.231074763842.282841991242.271505539241.826759246341.511854730641.727306545642.120358101142.596494312343.276343037643.679818682143.865164168143.078828368542.421352956142.0629539542

    Share of Both44.521076953144.743254013445.105431658346.355476232845.974764256745.998058137544.999405634144.690019590343.528234404440.116438075138.44324716239.603329577238.886244202538.71417642738.572649262638.682041841638.600075324339.296187879439.16878813938.715611197137.445148374536.284551423635.3930296937

    Sheet1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    US Share of OECD

    US Share of OECD and Affliates

    Percent

    US Share of OECD GERD

    Sheet2

    Sheet3

  • US Paper Share Depends More on Its Share of GERD Than Its Total GERD

    Chart4

    44.521076953139.74123.1266

    44.743254013439.57129.6834

    45.105431658339.03138.972

    46.355476232839.3152.3571

    45.974764256739.05165.548

    45.998058137538.88169.4137

    44.999405634138.78172.9972

    44.690019590338.61177.3203

    43.528234404438.5181.0711

    40.116438075138.55186.7285

    38.44324716238.83191.1113

    39.603329577237.86191.8234

    38.886244202538.16188.0419

    38.71417642737.07187.9509

    38.572649262637.01199.8864

    38.682041841635.82210.7164

    38.600075324335.28222.9164

    39.296187879434.73235.0584

    39.16878813934.18249.3431

    38.715611197133.94265.194

    37.445148374533.98268.2949

    36.284551423633.55266.1777

    35.393029693733.43268.439

    GERD Share

    Paper Share

    GERD

    Shares in Percent, GERD in $Billions

    US Paper Share Compared to GERD and GERD Share

    GERD

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    EU25............................151280.4153902.4158384.8163923.6173594.7182792.6189729.3194297.2196270.3....

    1982EU1596945.296945.2102770.2107671116000.3120574.7126332.8131438.9137304.3142278.1145086.5144695.8143842143989.5146068.4148497.9152429.3157820.4167287.1176103.1182730.9187311.4189105.2....

    interpolated1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    United States123126.6129683.4138972152357.1165548169413.7172997.2177320.3181071.1186728.5191111.3191823.4188041.9187950.9199886.4210716.4222916.4235058.4249343.1265194268294.9266177.7268439....

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    Total OECD276558289839305579328671.2357369.7368306.2381944.4396778.3413516.1431931.2451983.1453788.9449573.2452764.4479030.2500272.1523321543156.8570842.8604566.3622799.9627461.6638183.9....

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    Argentina..............................1704.21851.71884.92007.31927.61782.91454.91670.1....

    China....................14841.517081.61867519233.519348.421190.226457.82934236955.74830055560.668827.380606.6....

    Israel....................2063.42259.72434.92594.52853.531823552.83890.64588.76047.26389.86443.16375.66540.3..

    Romania....................1036.91021.61117.5984.11089.2998.2770620.6503.3470.9531.5538.5599.3....

    Russian Federation..................33535.124190.9102109217.987527850.88690.39406.18443.29799.711066.913038.514481.716028.2....

    Singapore..........................705.88041044.21221.31480.31654.51801.51969.22077.32084.4....

    Slovenia........................388449.1421.5371.4383.2413.8449473.1525.2532.5......

    South Africa....2525.8..2714.8..2498.9..2469.3..3010..2162.7......2405.5......3249.3........

    Chinese Taipei............................681072878133.18938.89785.21032610654.211767.212903.5....

    Total Affliates002525.802714.802498.902469.333535.145142.730572.9339963271939177.444467.554181.555014.265743.480413.293701.2106122.5120267.76540.3

    Total OECD276558289839308104.8328671.2360084.5368306.2384443.3396778.3415985.4465466.3497125.8484361.8483569.2485483.4518207.6544739.6577502.5598171636586.2684979.5716501.1733584.1758451.6

    plus affliates

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    Korea....................8597.39583.311039.513156.514686.316098.417237.915154.415952.418395.120668.621616.923261.9....

    AT Totals0000000000000041648.745619.853050.154915.564347.878822.688852.6104288.7118856.4

    US GERD Share

    Share of OECD44.521076953144.743254013445.47825603246.355476232846.324016837545.998058137545.293817634244.690019590343.788162057143.231074763842.282841991242.271505539241.826759246341.511854730641.727306545642.120358101142.596494312343.276343037643.679818682143.865164168143.078828368542.421352956142.0629539542

    Share of Both44.521076953144.743254013445.105431658346.355476232845.974764256745.998058137544.999405634144.690019590343.528234404440.116438075138.44324716239.603329577238.886244202538.71417642738.572649262638.682041841638.600075324339.296187879439.16878813938.715611197137.445148374536.284551423635.3930296937

    EU15 GERD Share

    Share of OECD35.054202011933.447948688833.631303198232.759487293132.459467044932.73762429233.076227848933.126534389633.204100154732.93999136932.099983384331.886147942431.995234591431.802301594430.492524270929.683426279429.12730427429.056139958129.30528334629.128831693129.34022629129.852249125729.6317722838

    Share of Both35.054202011933.447948688833.355598484732.759487293132.214744039232.73762429232.861230771933.126534389633.006999764930.566788616129.185067441729.873495391329.74589779529.658995549628.187236157927.260346044226.394569720526.383826698426.278782040825.709251152825.503226722225.533732260624.933060989

    AT GERD Share

    Share of OECD000000000000008.69437876789.118997441610.137200685610.110432199311.272420358113.037875250414.266636844416.620730256618.6241614682

    Share of Both000000000000008.03706854168.37460687649.18612473549.180568767110.108261850511.50729328412.400902106114.216325026715.6709274527

    For Graphing38.572649262638.682041841638.600075324339.296187879439.16878813938.715611197137.445148374536.284551423635.3930296937US

    Recent Years28.187236157927.260346044226.394569720526.383826698426.278782040825.709251152825.503226722225.533732260624.933060989EU

    8.03706854168.37460687649.18612473549.180568767110.108261850511.50729328412.400902106114.216325026715.6709274527AT

    Share of Both

    GERD

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

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    00

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    00

    00

    00

    00

    US Share of OECD

    US Share of OECD and Affliates

    Percent

    US Share of OECD GERD

    Papers

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

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    00

    00

    EU15 Share of OECD

    EU15 Share of OECD Plus Affiliates

    Percent

    EU15 Share of GERD

    GERDpapers1981

    000

    000

    000

    000

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    000

    000

    000

    000

    US

    EU

    AT

    Percent

    Share of GERD for OECD and Affiliates

    GERD Share of OECD + AffiliatesPaper Share (Worldwide)

    USEUATUSEUAT*ChinaSingaporeS. KoreaTaiwan

    199538.628.28.036.9836.964.082.010.280.80.99

    199638.727.38.435.8137.814.552.230.280.941.1

    199738.626.49.235.2838.325.232.620.321.151.14

    199839.326.49.234.739.335.752.780.361.381.23

    199939.226.310.134.1539.276.443.190.431.561.26

    200038.725.711.533.9339.357.013.510.481.731.29

    200137.425.512.433.9839.377.9940.532.011.45

    200236.325.514.233.5438.858.824.590.592.151.49

    200335.424.915.733.4338.529.595.090.62.341.56

    * Neglects double counting

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    US GERD

    EU GERD

    AT GERD

    US Papers

    EU Papers

    Percent

    Paper Share and GERD Share

    GERD SharePaper ShareTotal GERDGERD SharePaper ShareTotal GERD

    USEU15USEU15USEU15USUSBillionsDollars

    198144.535.139.7430.5812312796945198144.539.7123.1123127

    198244.733.439.5730.8812968396945198244.739.6129.7129683

    198345.133.439.0330.94138972102770198345.139.0139.0138972

    198446.432.839.330.78152357107671198446.439.3152.4152357

    198546.032.239.0531.22165548116000198546.039.1165.5165548

    198646.032.738.8831.49169414120575198646.038.9169.4169414

    198745.032.938.7831.74172997126333198745.038.8173.0172997

    198844.733.138.6131.39177320131439198844.738.6177.3177320

    198943.533.038.531.82181071137304198943.538.5181.1181071

    199040.130.638.5532.09186729142278199040.138.6186.7186729

    199138.429.238.8332.41191111145087199138.438.8191.1191111

    199239.629.937.8633.13191823144696199239.637.9191.8191823

    199338.929.738.1633.71188042143842199338.938.2188.0188042

    199438.729.737.0734.78187951143990199438.737.1188.0187951

    199538.628.237.0135.04199886146068199538.637.0199.9199886

    199638.727.335.8235.85210716148498199638.735.8210.7210716

    199738.626.435.2836.38222916152429199738.635.3222.9222916

    199839.326.434.7337.36235058157820199839.334.7235.1235058

    199939.226.334.1837.23249343167287199939.234.2249.3249343

    200038.725.733.9437.22265194176103200038.733.9265.2265194

    200137.425.533.9837.19268295182731200137.434.0268.3268295

    200236.325.533.5536.59266178187311200236.333.6266.2266178

    200335.424.933.4336.22268439189105200335.433.4268.4268439

    Includes bothfrom 2003 CD

    OECD and Affiliates

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    US GERD

    EU15GERD

    US Paper

    EU Paper

    Percent

    GERD and Paper Shares

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    GERD Share

    Paper Share

    GERD

    Shares in Percent, GERD in $Billions

    US Paper Share Compared to GERD and GERD Share

  • mi is share of papers published (fractional basis) wi is the share of GERD for the OECD Group k i is a "constant" of proportionality; it differs by country. k i is also the efficiency of country i in producing papers per $1 million in GERD, normalized by the OECD average efficiency. For data in a single year the equation is an identity, but it is most useful over a range of years when k i is approximately constantA Simple Model for Country imi = k iwi

  • Since 1998, ki Has Been Fairly ConstantEU is about 40% more efficient; AT is about 40% less efficient. Source for papers: NSF S&EI 2006 (fractional counts)

    Chart1

    0.95840777860.98746577331988

    0.97225910811.00410068941989

    1.04980380281.08025695611990

    1.09067725091.14397476270.4880302564

    1.01904581541.14222818440.4728294793

    0.99201497281.10424832170.4538367642

    0.95939434551.13619481160.441859158

    0.95436381491.20435179140.4320862524

    0.92599844271.26533956170.4605052261

    0.90728695831.3152416610.4909188593

    0.85817095561.33800348720.5422982301

    0.8465717521.33691340940.5564013634

    0.84299255331.36005509560.5385543352

    0.87023364831.35862220260.5657031305

    0.89685235171.33376447060.53832037

    0.89465225641.36000722680.5434528866

    US

    EU

    AT

    Ki= Paper Share/GERD Share

    Results

    Paper ShareGERDGERD Share for OECD and AffiliatesKi

    USEU15ATUSEUATUSEUATTotal GERD OECDTotal GERD +AffiliatesUSEUAT

    198842.9200632.505191.74278177296.613032344.782668547632.9177869916395904.5395904.50.95840777860.9874657733

    198942.4189332.928681.96819181027.5136070.543.6292424832.7942044103412528.6414922.40.97225910811.0041006894

    199042.2520632.871902.23790186740.5141187.640.247575593330.4297064849431166.5463979.51.04980380281.0802569561

    199142.0666133.121862.30655191087.8143446.523415.738.569257632628.95331368624.7262366616450615.8495440.71.09067725091.14397476270.4880302564

    199240.4679633.827082.60617191933.4143134.626639.839.711618437629.61499468265.5118576176452628.54833181.01904581541.14222818440.4728294793

    199338.6396132.599482.79858187975.5142472.429759.438.950628616629.52187673676.1664809364448489.7482599.40.99201497281.10424832170.4538367642

    199437.1915833.457143.01973187933.3142755.333131.438.765687368829.44665650016.8341347408451849484792.90.95939434551.13619481160.441859158

    199536.8409933.745893.46771199884.114508741555.938.60266547628.01996219778.0254933046478432.6517798.70.95436381491.20435179140.4320862524

    199635.8360234.304183.84912210764.6147648.245521.438.69986992627.11065394678.3584826809499897.6544613.20.92599844271.26533956170.4605052261

    199735.0223634.584254.50007222935.7151862.952940.538.601191475926.29497599989.1666178962523142.8577535.80.90728695831.3152416610.4909188593

    199833.8179935.114894.95247236448.8157469.854795.839.407049639526.24424494999.1323821928544653.3600016.50.85817095561.33800348720.5422982301

    199933.2463635.001765.59426250826.8167216.964216.739.271758934726.181021272910.054359271572534.6638695.10.8465717521.33691340940.5564013634

    200032.8121134.803206.15989267767.5176039.578684.838.923366462925.589550525911.4378231319606923.1687935.10.84299255331.36005509560.5385543352

    200132.7936034.476306.97095271285.5182681.888710.837.683676067525.375929692612.3226234019625660.4719901.90.87023364831.35862220260.5657031305

    200232.4733733.962267.65129265122.4186447.910407236.208153480125.463462081114.2132650767625645.9732217.40.89685235171.33376447060.53832037

    200332.2186733.556178.43839275049.5188446.8118591.936.012504433724.673526839715.5273553471642773.6763761.10.89465225641.36000722680.5434528866

    USEUAT

    19880.95840777860.9874657733

    19890.97225910811.0041006894

    19901.04980380281.0802569561

    19911.09067725091.14397476270.4880302564

    19921.01904581541.14222818440.4728294793

    19930.99201497281.10424832170.4538367642

    19940.95939434551.13619481160.441859158

    19950.95436381491.20435179140.4320862524

    19960.92599844271.26533956170.4605052261

    19970.90728695831.3152416610.4909188593

    19980.85817095561.33800348720.5422982301

    19990.8465717521.33691340940.5564013634

    20000.84299255331.36005509560.5385543352

    20010.87023364831.35862220260.5657031305

    20020.89685235171.33376447060.53832037

    20030.89465225641.36000722680.5434528866

    Paper Share from SEI 1998-2003 (table in Ki (version 2))

    Results

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    US

    EU

    AT

    Ki= Paper Shares/GERD Share

    Papers by country

    Ki2003 SeriesGERD

    USA PapersEUATChinaSingaporeS KoreaTaiwanUSAEUATChinaSingaporeS KoreaTaiwan

    1198117283613300625851650187230518123164.196330.10

    2198217645213769037642642217301604129523.6..0

    3198317746914068542032918272373640138776.2101947.60

    4198417893714015847333241336421735152205.5106767.20

    5198519046015227356633701444558960165392.3115040.90

    61986196657159279687845434946591182169288119642.30

    71987195707160195818652895608771460173081.2125333.70

    819882024661645729804636457310211846177296.61303230

    9198921003617360911434723770413412152181027.5136070.50

    10199021619417999013388832279615822688186740.5141187.60

    11199122230618553414100823981318683180191087.8143446.523415.714841.58574.2

    121992230936202089173499617111623984218191933.4143134.626639.817081.69558.2

    1319932301552033181918010242126129634714187975.5142472.429759.41867511084.4

    1419942366252220212236211124152439455769187933.3142755.333131.419233.5709.213188.7

    1519952472802341102732513462189053616612199884.114508741555.919348.480814686.36713.2

    1619962428282430423091815143188564107480210764.6147648.245521.421190.21049.416098.47183.4

    1719972409892485203576717923218578437816222935.7151862.952940.526457.81227.317237.98017.5

    1819982461602648164081619755254698218694236448.8157469.854795.8293421487.615154.48811.8

    19199924721326926246399230023113112409044250826.8167216.964216.736955.51662.715952.49646.1

    20200024475426841850513252843481124469302267767.5176039.578684.8483001810.418395.110179.3

    212001251380275149590772961339011484710716271285.5182681.888710.855560.51978.920668.610502.8

    222002246885269215648703378143491579610944265122.4186447.910407268767.62087.521616.911600

    232003267162289471766404070948171872212392275049.5188446.8118591.980615.62094.723161.412720.2

    242004286436.499244.996844.12400.8

    GERD

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    Australia2590.8....3155.8..3908.63948.54209..4710..5674.6..6410.7..7274.7..7269.1..7930.9..9242.3......

    Austria1574.21672.81737.41814.71864.11968.82011.32143.82257.22438.12661.42689.22735.82950.73065.63242.83511.33809.34188.64407.84723.34974.15208.45490.35802

    Belgium....2791.22882.83027.93089.23185.43241.33471.5..3590.6..3790.83890.24032.14292.34595.44766.35075.45387.95730.35364.85228.5....

    Canada6281.46812.96872.27485.48077.78479.88543.58818.49456.99875.910075.510471.911094.212003.512093.711958.212522.813828.51489916643.618223.617756.417900.118252.1..

    Czech Republic....................24552082.81462.513591327.91420.91571.51658.81669.11844.21880.51908.42040.62159..

    Denmark1036.81105.31174.81253.21332.31468.31574.21686.51746.51841.31945.72021.72116..2431.625272729.22963.93236.1..37003934.94106.9....

    Finland980.7..1183.51343.51472.41602.31753.61866.42000.220742102.62116.921212330.624062784.83160.23520.84083.44518.14571.24733.64921.1....

    France19277.820669.221358.622645.223644.224106.725092.526153.227820.329808.430238.83080331044.130915.331216.631310.430944.531314.132710.433829.935313.336282.135771.436296..

    Germany2986730560.931005.631877.534957.536040.537914.239205.14070241215.944252.143096.341476.640803.841657.942175.743780.445356.24878151588.852369.252973.753579.253716.9..

    Greece223........360.6..403.6523.8..525.8..675.8..729.6..806..1148.2..1202..1245.9....

    Hungary..................1659.91061.21012.5934.5876739.8665.1772.2761.9800.5981.81206.713511296.51250.7..

    Iceland31..33.136.938.940.246.2..6260.97280.181.187.497.7..128.8149.4179.4219.3250.7250.9247.4....

    Ireland264.5268.9259294.1328.6354.9369.8374.3397.8446.7513.5589.4685.1784866.7969.11047.11108.71174.71233.412761364.51503.71604.4..

    Italy8734.89035.89628.41049312015.612422.413429.114282.214950.915868.415320.114903.414064.913418.613125.413368.11423914704.714578.815425.116368.517085.2......

    Japan46431.449610.753305.256784.962508.3635756783372732.279037.385429.487390.386850.18514884367.789934.689048.69272595240.995625.498850.4101710.8103079.5105397.9....

    Korea....................8574.29558.211084.413188.714686.316098.417237.915154.415952.418395.120668.621616.923161.4....

    Luxembourg......................................368.3....410....

    Mexico........................154621532130.72243.42664.23064.73618.93349.23539.5........

    Netherlands4659.248475017.85046.95523.460136377.56395.56391.86761.16577.46467.86610.36927.57198.57515.37905.87842.48503.48248.783007994.58112.2....

    New Zealand................521.7594.2579.8600.2644.4..670..806.1..779.2..940.6..1028.1....

    Norway1071.61136.71208.31364.81521..1646.8..1678.9..1727.8..1881.2..2016.8..2214.1..2347.5..2623.72687.62813.9....

    Poland..................2502.91956.32062.32138.32070.72005.22188.52338.62498.22692.22635.62566.72358.32366.2....

    Portugal..302.5331.2336.6381.2403.4459496.2615690.3797.9869.4847.5827837.1915.6981.911411296.11424.71531.31453.61401.5....

    Slovak Republic..................651.7899.5755.6594.2413.8452.4476.5585.6442.3374.8378.8386.5363.9385.2365.6..

    Spain1930.622412246.3237526923089.63400.64006.34420.65168.85441.45743.25671.85369.455145780.45922.56752.16961.97706.580558910.19777.9....

    Sweden3499.3..4012.7..4810.2..5265.3..5442..5284.2..5961..6818.3..7485.4..8358.1..10345.8..9943.7....

    Switzerland3466.4..3486.2....4801.2....5216.5....5072.9......5320.8......5627.1..........

    Turkey..................10501725.61695.51655.71278.51440.418312143.62241.22706.32946.930803049......

    United Kingdom21468.7..20935.8..22663.123759.624139.224703.125360.925539.524238.823758.724673.32521025186.624889.124754.625348.52714328015.728819.729670.130203.1....

    United States123164.1129523.6138776.2152205.5165392.3169288173081.2177296.6181027.5186740.5191087.8191933.4187975.5187933.3199884.1210764.6222935.7236448.8250826.8267767.5271285.5265122.4275049.5286436.4..

    Japan (adj.)42709.345706.249151.252529.958180.159216.963181.467970.974086.880198.682011.581178.37910978353.983448.2....................

    Total OECD276147.1289155.6304752.5327821.2356482.2367479.6381276.3395904.5412528.6431166.5450615.8452628.5448489.7451849478432.6499897.6523142.8544653.3572534.6606923.1625660.4625645.9642773.6....

    EU25............................150299.2153052.8157818.5163573.1173524.5182728.5189679.8193452195625.6....

    EU1596330.1..101947.6106767.2115040.9119642.3125333.7130323136070.5141187.6143446.5143134.6142472.4142755.3145087147648.2151862.9157469.8167216.9176039.5182681.8186447.9188446.8....

    European Commission..................................................

    Argentina..............................17391889.51923.32048.219671819.31484.61704.11982.9..

    China....................14841.517081.61867519233.519348.421190.226457.82934236955.54830055560.568767.680615.696844.1..

    Israel....................2358.42596.22813.13004.533043680.84112.14502.75307.16982.77415.67391.77077.57318.7..

    Romania....................1036.91021.61117.5984.11089.2998.2770620.6503.3470.9531.5537.7595.3....

    Russian Federation..................32813236709990.19019.48563.57681.88503.29203.68261.49588.610828.612757.714169.91563315287.2..

    Singapore..........................709.28081049.41227.31487.61662.71810.41978.92087.52094.72400.8..

    Slovenia........................388449.1421.5371.4383.2413.8449473.1525.2532.5547.1....

    South Africa....2448.6..2631.8..2422.6..2393.8..2918.1..2096.7......2332......3150........

    Chinese Taipei............................6713.27183.48017.58811.89646.110179.310502.81160012720.2....

    Sheet1

  • Input Variable wi for mi = k iwiU.S. GERD share declined because of aggressive investments by the Asian Tigers. ROW is fairly flat. Since these add to 100%, U.S. and EU both lost GERD share to AT. Can you forecast what is going to happen next?

    Chart1

    38.572649262628.18723615798.037068541625.2030460379

    38.682041841627.26034604428.374606876425.6830052377

    38.600075324326.39456972059.186124735425.8192302198

    39.296187879426.38382669849.180568767125.1394166551

    39.16878813926.278782040810.108261850524.4441679697

    38.715611197125.709251152811.50729328424.0678443661

    37.445148374525.503226722212.400902106124.6507227972

    36.284551423625.533732260614.216325026723.9653912892

    35.393029693724.93306098915.670927452724.0029818646

    US

    EU15

    AT

    ROW

    Percent

    GERD Share

    GERDcheck

    INDICATOR: 3. GERD -- (million 2000 dollars -- constant prices and PPP)

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005

    Australia2590.7....3155.7..3908.53948.44208.9..4709.9..5674.5..6410.5..7274.5..7268.9..7930.7..8815.5......

    Austria1559.21660.91725.31806.71854.11960.92005.12143.82257.224382661.42689.22735.82950.73065.63242.73511.33809.34188.54407.84724.24971.25198.65483.45814.4

    Belgium....2791.22882.83027.83089.23185.43241.23471.5..3590.6..3790.73890.24032.14292.24595.34766.25075.45476.45880.76088.764076741.9..

    Canada6281.46812.96872.27485.48077.78479.88543.58818.49456.99875.910075.510471.911094.212003.512093.711958.212522.813828.51489916643.618223.51776217926.918211.9..

    Czech Republic....................24552082.71462.51358.91327.91420.91571.41658.81669.11844.21880.51908.42044.6....

    Denmark1071.71142.41214.31295.41377.11517.71627.11743.31805.21903.22009.22063.12143.9..24472531.12728.22968.13235.4..3713.93948......

    Finland981.2..1184.11344.21473.21603.11754.51867.42001.22075.12103.721182122.12331.72407.22783.83162.73528.84088.745184581.64728.44910....

    France19726.721192.821997.62335424389.124813.725848.627008.628782.830621.43086631429.33150531313.231417.531573.731083.431419.43258533829.735317.536258.935297.5....

    Germany30081.430780.331228.332106.435208.536299.238186.439486.640994.241511.845278.244064.442434.741693.542501.842807.244271.14561448990.151588.552308.252872.353217.1....

    Greece223........360.6..403.6523.8..525.8..675.8..729.6..806..1148.2..1202........

    Hungary..................1659.91061.21012.5934.4875.9739.8665.1772.2761.9800.5981.81206.71351.11286.7....

    Iceland30.9..3336.938.940.146.1..6260.871.9808187.397.6..128.7149.6179.5219.3249.1250.3256.5....

    Ireland264.5268.9259294.1328.6354.9369.8374.3397.8446.7513.5589.4685.1784866.7969.11047.11108.71174.71233.412761364.5......

    Italy8734.89035.79628.410492.912015.512422.31342914282.114950.815868.31532014903.314064.813418.513125.31336814238.914704.614578.71542516368.417085.1......

    Japan46249.349416.253096.256562.362263.263325.76756772446.978727.385094.487047.686509.684814.184036.88951588618.192352.194779.595345.799003.7102102.9103382106921.1....

    Korea....................8597.39583.311039.513156.514686.316098.417237.915154.415952.418395.120668.621616.923261.9....

    Luxembourg......................................368.3..........

    Mexico........................1547.82155.52133.222462667.33068.33619.23348.53538.5........

    Netherlands4659.248475017.85046.95523.360136377.46395.56391.86761.16577.46467.86610.26927.57198.57515.27905.87842.38503.48248.783007994.5......

    New Zealand................522.6595.2580.7601.2645.5..671.1..807.4..780.5..939.3..1035.6....

    Norway1071.61136.71208.31364.81521..1646.8..1678.9..1727.8..1881.2..2016.7..2214.1..2347.5..2623.72687.62813.9....

    Poland..................2502.91956.32062.32138.32070.72005.22188.52338.62498.12692.22635.62566.72358.32366.2....

    Portugal..302.5331.2336.6381.2403.4459496.2615690.3797.9869.4847.5827837.1915.6981.911411296.11424.71531.31699.2......

    Slovak Republic..................651.7899.5755.6594.2413.8452.4476.4585.6442.3374.8378.8386.5363.9385.2....

    Spain1930.622412246.3237526923089.63400.64006.34420.55168.85441.35743.25671.85369.455145780.35922.567526961.97706.48053.58902.89772.7....

    Sweden3499.3..4012.7..4810.2..5265.3..5442..5284.2..5960.9..6818.2..7485.3..8358.1..10294.5..9943.6....

    Switzerland3466.4..3486.2....4801.2....5216.5....5072.8......5320.7......5627..........

    Turkey..................10501725.61695.51655.61278.51440.418312143.62241.22706.22946.930803048.9......

    United Kingdom21400.2..20869.2..22591.323684.324062.724624.825280.525458.62416223683.524595.225130.125106.824841.224690.225324.227125.128015.528799.229698.230233.9....

    United States123126.6129683.4138972152357.1165548169413.7172997.2177320.3181071.1186728.5191111.3191823.4188041.9187950.9199886.4210716.4222916.4235058.4249343.1265194268294.9266177.7268439....

    Japan (adj.)42296.645264.548676.252022.357617.958644.762570.867314.173370.979423.68121980393.878344.577596.782580....................

    Total OECD276558289839305579328671.2357369.7368306.2381944.4396778.3413516.1431931.2451983.1453788.9449573.2452764.4479030.2500272.1523321543156.8570842.8604566.3622799.9627461.6638183.9....

    EU25............................151280.4153902.4158384.8163923.6173594.7182792.6189729.3194297.2196270.3....

    EU1596945.2..102770.2107671116000.3120574.7126332.8131438.9137304.3142278.1145086.5144695.8143842143989.5146068.4148497.9152429.3157820.4167287.1176103.1182730.9187311.4189105.2....

    European Commission..................................................

    Argentina..............................1704.21851.71884.92007.31927.61782.91454.91670.1....

    China....................14841.517081.61867519233.519348.421190.226457.82934236955.74830055560.668827.380606.6....

    Israel....................2063.42259.72434.92594.52853.531823552.83890.64588.76047.26389.86443.16375.66540.3..

    Romania....................1036.91021.61117.5984.11089.2998.2770620.6503.3470.9531.5538.5599.3....

    Russian Federation..................33535.124190.9102109217.987527850.88690.39406.18443.29799.711066.913038.514481.716028.2....

    Singapore..........................705.88041044.21221.31480.31654.51801.51969.22077.32084.4....

    Slovenia........................388449.1421.5371.4383.2413.8449473.1525.2532.5......

    South Africa....2525.8..2714.8..2498.9..2469.3..3010..2162.7......2405.5......3249.3........

    Chinese Taipei............................681072878133.18938.89785.21032610654.211767.212903.5....

    Affiliate Total002525.802714.802498.902469.333535.145142.730572.9339963271939177.444467.554181.555014.265743.480413.293701.2106122.5120267.7

    From Official DataSet

    US123126.6129683.4138972152357.1165548169413.7172997.2177320.3181071.1186728.5191111.3191823.4188041.9187950.9199886.4210716.4222916.4235058.4249343.1265194268294.9266177.7268439US199884210765222936236449250827267768271286265122275050US

    EU1596945.2..102770.2107671116000.3120574.7126332.8131438.9137304.3142278.1145086.5144695.8143842143989.5146068.4148497.9152429.3157820.4167287.1176103.1182730.9187311.4189105.2EU15145087147648151863157470167217176040182682186448188447....EU15 them

    EA2000000000014841.517081.61867519233.526158.428477.234590.938280.846740.95862666214.880594.593510.1EA2260622837434475381544660258479660638036893336EA2

    ROG56486.2160155.666362.668643.178536.278317.885113.388019.197609.9999999999136459.7146086.5130761133010.3134309.5146094.4157048.1167565.9167011.4173215.1185056.4199260.5199500.5207397.3ROG150719160100168262170481176791188594199871203430210079ROG

    OECDgroup276558289839308104.8328671.2360084.5368306.2384443.3396778.3415985.4465466.3497125.8484361.8483569.2485483.4518207.6544739.6577502.5598171636586.2684979.5716501.1733584.1758451.6OECDgroup521752546886577536602553641436690881719902735367766911OECDgroup Total

    8/19/06

    AT Recalc0000000000000041648.745619.853050.154915.564347.878822.688852.6104288.7118856.4

    ROW (AT)00000000000000130604.1139905.5149106.7150376.7155608.2164859.8176622.7175806.3182051

    1981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005Not much different, I think I am converging on a set to use

    199519961997199819992000200120022003

    I made no interpolations, even S. Africa. OECD probably made some in their OECD totalGERD shares based on OECDgroupShares based on Official DataSetdifferences in percentage points

    GERD Shares Using AT group 8.19.6US38.638.738.639.339.238.737.436.335.438.338.538.639.239.138.837.736.135.9US-0.3-0.10.0-0.1-0.10.00.2-0.20.5

    199519961997199819992000200120022003EU1528.227.326.426.426.325.725.525.524.927.827.026.326.126.125.525.425.424.6EU15 them-0.4-0.3-0.1-0.3-0.2-0.2-0.1-0.2-0.4

    US38.638.738.639.339.238.737.436.335.4EA25.05.26.06.47.38.69.211.012.35.05.26.06.37.38.59.210.912.2EA2-0.1-0.0-0.0-0.1-0.1-0.1-0.1-0.1-0.2

    EU1528.227.326.426.426.325.725.525.524.9ROG28.228.829.027.927.227.027.827.227.328.929.329.128.327.627.327.827.727.4ROG0.70.40.10.40.40.3-0.00.50.0

    AT8.08.49.29.210.111.512.414.215.7OECDgroup100100100100100100100100100100100100100100100100100100OECDgroup Total0.00.00.00.00.00.00.00.00.0

    ROG (AT)25.225.725.825.124.424.124.724.024.0can be as much as 0.5% points different, which might be significant in accuracy checks

    OECD Group100.0100.0100.0100.0100.0100.0100.0100.0100.0

    GERDcheck

    US

    EU15

    EA2

    ROG

    Percent

    GERD Share of OECDgroup Check

    B&WforPaper

    US

    EU15

    AT

    ROW

    Percent

    GERD Share

    RelativeEfficiency

    Fig. 5. Relative efficiencies for US (diamonds), EU15 (squares), EA2 (triangles), and rest of OECD Group (none). The degree of flatness of the curves is a measure of how accurate the model is for a interval of time.

    Fig. 6. Accuracy of model using constant 1998 values for relative efficiency Ki, and actual values of investment share.

    Model predictions of paper share of OECD Group in percent (diamonds), and actual paper shares (squares) are shown.

    Fig. 6a. U.S.

    Fig. 6b. EU15

    Fig. 6c. EA2 China and Taiwan

    Fig. 6d. Rest of OECD Group.

    RelativeEfficiency

    0.96165030321.21354691710.51283161770.9295312816

    0.92986349141.27062099490.53964367090.9243445025

    0.90728695831.3152416610.54674847160.9311877284

    0.86179877361.34365974140.5470601590.9756151698

    0.85020486761.3426508570.5309723381.0120654419

    0.84660195571.36587838080.49685248981.0322898296

    0.87023364831.35862220260.5169906871.008000995

    0.90071061141.33950232670.48121405761.0231919473

    0.89834209431.36561634040.48195523041.0352907705

    US

    EU15

    EA2

    ROG

    PaperShareCheck

    33.817985446833.8179854468

    33.699729188233.2463617638

    33.401097541132.8121080777

    32.475745818132.7936029047

    31.070477038132.4733675993

    30.908057239932.2186683506

    US Model

    US Actual

    35.114891260935.1148912609

    35.028059163535.0017584111

    34.2370576134.8031985873

    34.096615127534.4763014915

    34.06766972433.9622610216

    33.016653240133.5561748139

    EU15 Model

    EU15 Actual

    3.4639980043.463998004

    3.97450014173.8576189439

    4.63056788014.2055871602

    5.02021169824.7442729149

    5.97876816835.2591424226

    6.6579160985.8655660341

    EA2 Model

    EA2 Actuals

    27.603125288427.6031252884

    26.889628813127.8942608812

    26.632020065528.1791061748

    27.086672821727.9858226889

    26.989081401728.3052289565

    26.72490452428.3595908014

    ROG Model

    ROG Actual

    199519961997199819992000200120022003199519961997199819992000200120022003

    GERD shares based on OECDgroupGERD shares official database

    US38.638.738.639.339.238.737.436.335.4US38.338.538.639.239.138.837.736.135.9

    EU1528.227.326.426.426.325.725.525.524.9EU15 them27.827.026.326.126.125.525.425.424.6

    EA25.05.26.06.47.38.69.211.012.3EA25.05.26.06.37.38.59.210.912.2

    ROG28.228.829.027.927.227.027.827.227.3ROG28.929.329.128.327.627.327.827.727.4

    OECDgroup100100100100100100100100100OECDgroup Total100100100100100100100100100

    Paper shares based on OECDgroupForecasts based on 1995 value of Ki

    Forecasts based on 1998 value of Ki199519961997199819992000200120022003

    US36.840987089435.836019285635.022357601133.817985446833.246361763832.812108077732.793602904732.473367599332.2186683506US33.817985446833.708346247733.318345790832.224995632331.226195165630.458958685US36.840987089437.061051576537.120847488537.73627551837.604317605837.27108527536.238518517834.670429550934.4891911309

    EU1533.745891667134.304182982234.584247908735.114891260935.001758411134.803198587334.476301491533.962261021633.5561748139EU1535.114891260934.975084713134.217081886933.942878847333.983479427133.1840310899EU1533.745891667132.763298944531.910187060231.714552965331.63612922430.921724031130.794881247530.768738762229.8194970944

    EA22.56160229522.7997833483.26374877223.4639980043.85761894394.20558716024.74427291495.25914242265.8655660341EA23.4639980043.97431085464.63270527035.0021900985.94671982686.673484124EA22.56160229522.66067685243.06128622163.24726206263.72582302684.34084182154.70610634735.60468771396.2413426151

    ROG26.851518948327.060014384327.12964571827.603125288427.894260881228.179106174827.985822688928.305228956528.3595908014ROG27.603125288426.900851272326.709393680327.494248173826.886332981927.0341500882ROG26.851518948327.211856383727.081386046226.299271700225.61947774725.374037334825.807214239325.714232620625.4625343288

    OECDgroup100100100100100100100100100OECDgroup100OECDgroup100100100100100100100100100

    Relative Efficiency KiRelative Efficiency Ki based on official GERD database19981999200020012002200319992000200120022003

    Forecasts based on 1998 value of Ki, using official GERD dataForecasts based on 1998 value of Ki, using official GERD data

    US0.95510647550.92642522420.90731319320.86059201340.84879730380.84751621020.87577708540.89496400880.9103111158US0.96165030320.92986349140.90728695830.86179877360.85020486760.84660195570.87023364830.90071061140.8983420943US33.817985446833.699729188233.401097541132.475745818131.070477038130.9080572399US33.246361763832.951747652232.038844822430.652481330430.4922465898

    EU151.19720470211.25839132511.31027890491.33092487541.33193990331.35372276621.35184076381.33009388031.3458505889EU151.21354691711.27062099491.3152416611.34365974141.3426508571.36587838081.35862220261.33950232671.3656163404EU1535.114891260935.028059163534.2370576134.096615127534.06766972433.0166532401EU1535.001758411134.211350779634.07101374834.042090078232.9918627481

    EA20.50746290960.53556981060.54488986270.5412800020.52538718440.4913760090.51337114390.47869560090.4757505279EA20.51283161770.53964367090.54674847160.5470601590.5309723380.49685248980.5169906870.48121405760.4819552304EA23.4639980043.97450014174.63056788015.02021169825.97876816836.657916098EA23.85761894394.49439319134.87257845245.80294591146.462121613

    ROG0.95244315940.93860807050.9350015860.98863844371.02514743441.04303931441.00631448491.04081272531.0371097897ROG0.92953128160.92434450250.93118772840.97561516981.01206544191.03228982961.0080009951.02319194731.0352907705ROG27.603125288426.889628813126.632020065527.086672821726.989081401726.724904524ROG27.894260881227.627027530328.098666714427.997429149927.723382275

    OECDgroup111111111OECDgroup111111111OECDgroup100100100100100100OECDgroup100100100100100

    Compare to earlier graph, Fig 5 in Apaper

    This one is difficult because the curves are basically flat. These truncated scales accentuate the error.

    0.95510647551.19720470210.50746290960.9524431594

    0.92642522421.25839132510.53556981060.9386080705

    0.90731319321.31027890490.54488986270.935001586

    0.86059201341.33092487540.5412800020.9886384437

    0.84879730381.33193990330.52538718441.0251474344

    0.84751621021.35372276620.4913760091.0430393144

    0.87577708541.35184076380.51337114391.0063144849

    0.89496400881.33009388030.47869560091.0408127253

    0.91031111581.34585058890.47575052791.0371097897

    US

    EU15

    EA2

    ROG

    Relative Efficiency Ki

    33.817985446833.8179854468

    33.708346247733.2463617638

    33.318345790832.8121080777

    32.224995632332.7936029047

    31.226195165632.4733675993

    30.45895868532.2186683506

    US Model

    US Actual

    Percent Paper Share

    Accuracy Corrected Chart

    35.114891260935.1148912609

    34.975084713135.0017584111

    34.217081886934.8031985873

    33.942878847334.4763014915

    33.983479427133.9622610216

    33.184031089933.5561748139

    EU15 Model

    EU15 Actual

    Percent Paper Share

    Accuracy of Corrected Model

    3.4639980043.463998004

    3.97431085463.8576189439

    4.63270527034.2055871602

    5.0021900984.7442729149

    5.94671982685.2591424226

    6.6734841245.8655660341

    EA2 Model

    Percent Paper Share

    Accuracy of Corrected Model

    27.603125288427.6031252884

    26.900851272327.8942608812

    26.709393680328.1791061748

    27.494248173827.9858226889

    26.886332981928.3052289565

    27.034150088228.3595908014

    ROG Model

    ROG Actual

    Percent Paper Shre

    Accuracy of Corrected Model

    0.96165030321.21354691710.51283161770.9295312816

    0.92986349141.27062099490.53964367090.9243445025

    0.90728695831.3152416610.54674847160.9311877284

    0.86179877361.34365974140.5470601590.9756151698

    0.85020486761.3426508570.5309723381.0120654419

    0.84660195571.36587838080.49685248981.0322898296

    0.87023364831.35862220260.5169906871.008000995

    0.90071061141.33950232670.48121405761.0231919473

    0.89834209431.36561634040.48195523041.0352907705

    US

    EU15

    EA2

    ROG

    33.817985446833.8179854468

    33.699729188233.2463617638

    33.401097541132.8121080777

    32.475745818132.7936029047

    31.070477038132.4733675993

    30.908057239932.2186683506

    US Model

    US Actual

    Percent Paper Share

    Accuracy based on Official DB

    35.114891260935.1148912609

    35.028059163535.0017584111

    34.2370576134.8031985873

    34.096615127534.4763014915

    34.06766972433.9622610216

    33.016653240133.5561748139

    EU15 Model

    EU15 Actual

    Paper Share Percent

    Accuracy Based on Official DB

    3.4639980043.463998004

    3.97450014173.8576189439

    4.63056788014.2055871602

    5.02021169824.7442729149

    5.97876816835.2591424226

    6.6579160985.8655660341

    EA2 Model

    EA2 Actuals

    Paper Share Percent

    Accuracy Based on Official DB

    27.603125288427.6031252884

    26.889628813127.8942608812

    26.632020065528.1791061748

    27.086672821727.9858226889

    26.989081401728.3052289565

    26.72490452428.3595908014

    ROG Model

    ROG Actual

    Paper Share Percent

    Accuracy Based on Official DB

    33.246361763833.2463617638

    32.951747652232.8121080777

    32.038844822432.7936029047

    30.652481330432.4733675993

    30.492246589832.2186683506

    Official 1999 Ki

    35.001758411135.0017584111

    34.211350779634.8031985873

    34.07101374834.4763014915

    34.042090078233.9622610216

    32.991862748133.5561748139

    Official 1999 Ki

    3.85761894393.8576189439

    4.49439319134.2055871602

    4.87257845244.7442729149

    5.80294591145.2591424226

    6.4621216135.8655660341

    EA2 Model

    Official 1999 Ki

    27.894260881227.8942608812

    27.627027530328.1791061748

    28.098666714427.9858226889

    27.997429149928.3052289565

    27.72338227528.3595908014

    ROG Model

    Official 1999 Ki

    27.603125288427.60312528840

    26.889628813127.89426088121999

    26.632020065528.17910617482000

    27.086672821727.98582268892001

    26.989081401728.30522895652002

    26.72490452428.35959080142003

    ROG Model

    ROG Actual

    dummy

    ROG Accuracy with Non-Truncated Graph

    33.817985446833.81798544680

    33.699729188233.2463617638

    33.401097541132.8121080777

    32.475745818132.7936029047

    31.070477038132.4733675993

    30.908057239932.2186683506

    US Model

    US Actual

    Percent Paper Share

    Accuracy based on Official DB

    35.114891260935.11489126090

    35.028059163535.0017584111

    34.2370576134.8031985873

    34.096615127534.4763014915

    34.06766972433.9622610216

    33.016653240133.5561748139

    EU15 Model

    EU15 Actual

    dummy

    Paper Share Percent

    Accuracy Based on Official DB

    36.840987089436.84098708940

    37.061051576535.8360192856

    37.120847488535.0223576011

    37.73627551833.8179854468

    37.604317605833.2463617638

    37.27108527532.8121080777

    36.238518517832.7936029047

    34.670429550932.4733675993

    34.489191130932.2186683506

    US Model

    US Actual

    Accuracy 1995 Ki

    33.745891667133.74589166710

    32.763298944534.3041829822

    31.910187060234.5842479087

    31.714552965335.1148912609

    31.63612922435.0017584111

    30.921724031134.8031985873

    30.794881247534.4763014915

    30.768738762233.9622610216

    29.819497094433.5561748139

    EU15 Model

    EU15 Actual

    Accuracy 1995 Ki

    2.56160229522.5616022952

    2.66067685242.799783348

    3.06128622163.2637487722

    3.24726206263.463998004

    3.72582302683.8576189439

    4.34084182154.2055871602

    4.70610634734.7442729149

    5.60468771395.2591424226

    6.24134261515.8655660341

    EA2 Model

    EA2 Actual

    Accuracy 1995 Ki

    26.851518948326.85151894830

    27.211856383727.0600143843

    27.081386046227.129645718

    26.299271700227.6031252884

    25.61947774727.8942608812

    25.374037334828.1791061748

    25.807214239327.9858226889

    25.714232620628.3052289565

    25.462534328828.3595908014

    ROG Model

    ROG Actual

    Accuracy 1995 Ki

    Appendix table 5-41 Check of Fractional Count Only from 1991 On

    S&E articles, by region and country/economy: 19882003

    Region and country/economy1988198919901991199219931994199519961997199819992000200120022003

    All countries466,419497,102508,795515,530547,617540,491567,204580,809593,568594,467617,762632,059632,781649,795641,388698,726

    Major S&E article producers353,862377,817389,307397,004422,045421,573442,390455,429467,036468,143487,006497,069496,599512,166501,778546,626

    United States177,662187,224191,559194,015198,864197,397199,769202,887201,798197,531197,890198,524196,221200,870195,792211,233

    EU-15134,551145,337149,032152,761166,230166,540179,710185,842193,172195,060205,479209,006208,128211,177204,769220,002

    Austria2,2412,6752,6902,7563,0473,0513,1773,4773,6183,8804,1724,2104,2594,5264,4054,906

    Belgium3,5863,9054,1034,1644,4314,5124,9495,2605,5835,5095,8225,9245,7395,9845,9336,604

    Denmark3,4453,7223,7163,7764,1414,0684,4584,4084,4774,5124,7824,9094,9294,9884,7405,291

    Finland2,7892,9813,0713,2113,4383,6033,9744,1344,3544,5234,5644,8724,8785,0984,8735,202

    France21,40922,68622,93723,51826,17226,22528,26629,30929,75530,06131,80932,09730,96031,31729,92831,971

    Germany29,29231,82132,29532,92935,12034,10336,90138,10039,12340,74343,95343,55043,44043,62341,86344,305

    Greece1,2391,5181,3971,5981,7361,7591,9742,0682,2652,4072,6662,7052,8923,3293,3733,770

    Ireland7908269029159461,0031,1681,2101,2691,3181,5261,5261,5961,6651,6501,758

    Italy11,22912,50913,06213,77815,46215,27917,00017,90419,34219,14720,32120,81921,03822,31322,31424,696

    Luxembourg7111715232226312033333442463346

    Netherlands8,5819,73610,17610,10611,06011,36011,96112,33012,43812,77912,75612,64212,46612,60212,51713,475

    Portugal4295105876407127949149891,0901,2501,4041,7651,8132,1422,1732,625

    Spain5,4326,1166,8377,2699,2679,75910,53411,34312,23413,04013,78614,86014,77615,57015,86816,826

    Sweden7,5738,1268,1728,1398,2738,5478,9729,2849,6979,6779,96710,1299,81510,3149,82910,237

    United Kingdom36,50938,19539,06939,95042,40442,45645,43645,99347,90446,18347,91648,96549,48547,66045,26948,288

    Japan34,43536,56938,57039,59044,14343,33946,69247,60350,39250,17154,65856,13455,41357,42055,08560,067

    East Asia-47,2148,68710,14610,63812,80714,29716,22019,09721,67525,38128,98033,40536,83742,69946,13255,324

    China4,6195,4116,2856,1866,9567,5667,8219,26110,07012,53013,80716,19718,14220,97823,60929,186

    Singapore4105175725997558541,0221,1841,1811,3381,6351,9842,3012,6032,6773,122

    South Korea7711,0351,1701,3611,7592,1842,9313,8064,7285,6367,0758,3869,38611,03711,74513,746

    Taiwan1,4141,7242,1192,4923,3373,6934,4464,8465,6965,8786,4636,8387,0088,0828,1009,270

    Other regions/countries

    Other Western Europe9,3279,90110,85110,93912,16212,37913,30713,82614,59715,45616,17016,97417,54817,97118,29320,939

    Croatianananana17575508563614631589671704710657845

    Cyprus1515178222424415466615860748592

    Iceland696889104105122137158149147177136154174193203

    Norway2,1922,2472,4262,4032,6552,6372,8052,9532,9503,0123,1003,1273,1953,2523,1183,339

    Slovenianananana10404459443478595625707901876856969

    Switzerland5,3165,5485,9016,0986,6516,8717,3727,3617,4897,9128,0968,2978,4548,1077,7448,542

    Turkey5076687508461,0481,1721,3971,7132,2062,4402,8183,2403,4824,0985,0726,224

    Yugoslavia1,2111,3301,6411,4471,621496514507568555605622513547460600

    All others172626333579918791999911586131108124

    Other Asia10,11611,07510,56610,93711,53911,32911,59211,35511,47811,15811,98512,77912,29413,45614,00515,779

    Bangladesh9599116104151153136170155146138168160177160204

    India8,8829,7449,2009,51710,1009,7639,9289,5919,7369,41910,06610,58910,04711,07611,53812,774

    Indonesia59861048986103120133137146138172165207167178

    Malaysia208241233260247293345373372339402493470494485520

    Pakistan235263257315277349324339274258276300277282334368

    Philippines127149157148150148141151153174167187177158178179

    Sri Lanka1071011068482838582786875941047695141

    Thailand2872722822983003173833383864155305586557278081,072

    Vietnam52666065746761102113120107112144158144216

    All others64555058725471767474861069610196125

    Eastern Europe/former USSR41,59743,69742,83641,21843,21435,97638,19936,39035,07434,25934,68034,42135,84433,68633,90135,067

    Armenianananana21165178182179186169156167152201175

    Azerbaijannananana15197189157125879470896873107

    Bulgaria1,0891,2191,2161,1691,2181,3801,024963968977931900887784789829

    Belarusnananana307081,021728597576598616576528480532

    Czech Republic2,7462,9953,0792,8813,1323,3082,1791,9932,2492,2312,3332,3742,4582,6222,7782,950

    Estonianananana2177202240248255299320344339333368

    Georgianananana12158136148126135131129141110132117

    Hungary1,7141,8471,7221,8061,8241,7181,7741,8261,8391,9392,1442,3132,2922,4792,3082,503

    Kazakhstannananana19250191173143125122109113116123128

    Latvianananana37180159154168152164173159157171153

    Lithuanianananana5149189179196209248284262272338322

    Moldovanananana15156159140136116989596777678

    Poland4,0304,2453,9993,9194,1133,8484,0414,5354,5974,4454,8915,1955,3425,6866,0236,770

    Romania393513377395568507675648871835858909956997900988

    Russianananana81719,65921,61219,97418,46418,34317,84117,14918,27115,84615,81815,782

    Slovakianananana44na1,1511,1371,1751,0511,1449971,007955936943

    Ukrainenananana1622,8942,9232,8562,6002,2872,3622,3512,3652,2562,1832,089

    USSR31,62532,87932,44331,04731,127130nananananananananana

    Uzbekistannananana50275290295347264213242273204192192

    All othersnananana5116105634546393845394742

    Near East/North Africa7,8968,4008,2418,1538,4238,8309,1419,6479,70610,06310,52210,75211,11111,80211,98713,465

    Algeria667398106120123125151156151165179204225240285

    Egypt1,1301,2781,2541,4291,2881,2791,3801,3591,3591,2421,3021,3621,3761,5481,5641,720

    Iran8691941261501752332713123665236998259951,2771,806

    Israel4,9165,1344,9684,8735,2345,5755,5595,9215,8156,2036,2406,0916,3146,4876,4156,941

    Jordan161174176148135130144153167193217245242240237263

    Kuwait304326368209104112186166240210251298243257234244

    Lebanon54612947525462566896111129139202158223

    Morocco11310897128170164182237256298370425471469461428

    Oman1320273237424653636376889996116114

    Saudi Arabia569577644613653713734781754682700637595580581573

    Syria19283431494948475260426056615467

    Tunisia9610710412113191135147159206230269278344361452

    United Arab Emirates233033577710998122145154157137144159169193

    All others346394314235222214208183159140138132124138120158

    Central/South America5,6326,4046,8867,0527,9237,9908,5259,54710,46811,52212,90014,25014,74716,35517,12218,933

    Argentina1,4231,5181,6271,4991,5261,5851,7471,9692,2122,4302,5462,7052,7922,9303,1613,086

    Brazil1,7662,1172,3742,6403,1072,8853,0733,4713,8304,3625,2025,9506,1957,2057,6508,684

    Chile6827458308198358777988999289749871,0621,1001,2031,2601,500

    Colombia86111122106125122145167196230237254320324353337

    Costa Rica55555455626166707278737682929484

    Cuba679010894131113141166194177234242282299201264

    Mexico8841,0461,0381,0821,3361,5021,6631,9012,1242,2712,6152,9252,9503,2093,3073,747

    Peru686777707366646872717160779387129

    Uruguay4250576481918498115133136159158155151194

    Venezuela292328314329377395420430432484528523509535525563

    All others268278286294268292324307292313272293281310333345

    Sub-Saharan Africa4,5444,5044,3554,4094,3564,3214,2634,1613,9824,0283,9854,2073,9733,9904,1514,219

    Botswana9201718202819344538385058597176

    Cameroon3541465458758473608177717675108123

    Ethiopia71587093888486998810980106909310199

    Ghana37364047725267657788678595907383

    Kenya291300255260295346280310275256270278237230239258

    Nigeria886864815719666604470464433458418451428332353384

    Senegal Republicnananana2na75776465737173625479

    South Africa2,5232,4992,4062,5522,4192,3772,4592,3642,2822,2372,2682,3662,2372,32