Bream Lab: Bream Lab: Relative WeightRelative Weight
BIOL 3500LBIOL 3500L
Dr. Christopher KodaniDr. Christopher Kodani
Learning Objectives (for Learning Objectives (for Lab Quiz)Lab Quiz)
Calculate relative weightCalculate relative weight Explain:Explain:
Relative weights, below 0.8, from 0.8 to 1.0, Relative weights, below 0.8, from 0.8 to 1.0, above 1.0above 1.0
Why using fish board is importantWhy using fish board is important Discuss example from Florida Fish & WildlifeDiscuss example from Florida Fish & Wildlife Identify largemouth bass, bluegill, warmouth, Identify largemouth bass, bluegill, warmouth,
redbreast sunfish, channel catfishredbreast sunfish, channel catfish Discuss linear and non-linear regressionDiscuss linear and non-linear regression
Shelford’s Tolerance Shelford’s Tolerance CurveCurve
Note Y-axis Note Y-axis “Performance”“Performance”
Could be some Could be some measure of measure of condition:condition: Speed of animalSpeed of animal Height of plantsHeight of plants # of offspring# of offspring
Relative WeightRelative Weight
For fish, condition measured as “Relative For fish, condition measured as “Relative Weight”Weight”
Ratio of actual weight to standard weightRatio of actual weight to standard weight Similar to “Body Mass Index” for humansSimilar to “Body Mass Index” for humans
CDC website CDC website http://www.cdc.gov/nccdphp/dnpa/bmi/adult_Bhttp://www.cdc.gov/nccdphp/dnpa/bmi/adult_BMI/about_adult_BMI.htmMI/about_adult_BMI.htm
Standard WeightStandard Weight What a fish “should” weighWhat a fish “should” weigh Depends uponDepends upon
Size of fishSize of fish SpeciesSpecies Other factors (region, sex, reproductive Other factors (region, sex, reproductive
condition)condition) Available in literatureAvailable in literature
Georgia Adopt-a-Lake ManualGeorgia Adopt-a-Lake Manual Alabama Cooperative Extension Alabama Cooperative Extension
http://www.aces.edu/pubs/docs/A/ANR-1193/http://www.aces.edu/pubs/docs/A/ANR-1193/
Fish MeasurementsFish Measurements
Florida Fish and Wildlife Florida Fish and Wildlife http://floridafisheries.com/Fishes/mehttp://floridafisheries.com/Fishes/measure.htmlasure.html Ignore girth, we only want lengthIgnore girth, we only want length Use fish board!Use fish board!
Calculating Relative Calculating Relative WeightWeight
Actual weight / standard weightActual weight / standard weight If you like, you can x100 for percentageIf you like, you can x100 for percentage
Identifying FishIdentifying Fish These could be present in Swan Lake:These could be present in Swan Lake:
Channel CatfishChannel Catfish Look like a cat!Look like a cat!
Largemouth BassLargemouth Bass Two distinct dorsal finsTwo distinct dorsal fins
Sunfishes a.k.a. “bream” (two dorsal fins Sunfishes a.k.a. “bream” (two dorsal fins merged)merged)
BluegillBluegill All black ear tabAll black ear tab
Redbreast sunfishRedbreast sunfish Has very long ear tabHas very long ear tab
WarmouthWarmouth Stripes on faceStripes on face
Fish ID Study ResourcesFish ID Study Resources Texas Parks Texas Parks
http://www.tpwd.state.tx.us/landwater/water/aquathttp://www.tpwd.state.tx.us/landwater/water/aquaticspecies/inland.phtml icspecies/inland.phtml
Virginia Fish & Wildlife Virginia Fish & Wildlife http://www.cnr.vt.edu/efish/families/centrarchidae.http://www.cnr.vt.edu/efish/families/centrarchidae.html html
NC State University NC State University http://www.ces.ncsu.edu/nreos/wild/fisheries/topichttp://www.ces.ncsu.edu/nreos/wild/fisheries/topics/fishidentification.htmls/fishidentification.html
Tennessee Wildlife Resources Agency Tennessee Wildlife Resources Agency http://www.ces.ncsu.edu/nreos/wild/fisheries/topichttp://www.ces.ncsu.edu/nreos/wild/fisheries/topics/fishidentification.html s/fishidentification.html
Florida Fish and Wildlife Florida Fish and Wildlife http://www.ces.ncsu.edu/nreos/wild/fisheries/topichttp://www.ces.ncsu.edu/nreos/wild/fisheries/topics/fishidentification.html s/fishidentification.html
Actual Research ExampleActual Research Example
Florida study shows flooding may Florida study shows flooding may improve some fish’s conditionimprove some fish’s condition
Florida Fish and Wildlife Florida Fish and Wildlife http://www.floridamarine.org/featurehttp://www.floridamarine.org/features/view_article.asp?id=24545s/view_article.asp?id=24545 Note box and whiskers plotNote box and whiskers plot
For Your NotebooksFor Your Notebooks Frequency Distribution Tables (separate Frequency Distribution Tables (separate
species)species) Body massBody mass Total lengthTotal length Relative weightRelative weight
Make histograms (separate species)Make histograms (separate species) One for lengthOne for length One for body massOne for body mass
Scatter Plot (all fish on one)Scatter Plot (all fish on one) Mass vs. lengthMass vs. length
Plus standard lab write up in your Plus standard lab write up in your notebook, by next lab (10 points)notebook, by next lab (10 points)
Frequency DistributionFrequency Distribution
An organized, An organized, summarized list of summarized list of measurementsmeasurements
Tells number Tells number within each within each intervalinterval Ex: Ages of people Ex: Ages of people
in a groupin a group
Age Age IntervalInterval
Number Number of of IndividuaIndividualsls
15 to 1915 to 19 110110
20 to 2420 to 24 254254
25 to 2925 to 29 397397
30 to 3430 to 34 8080
Frequency Distribution Frequency Distribution ExampleExample
Bluegills (cm): Bluegills (cm): 8.83, 9.25, 8.77, 8.83, 9.25, 8.77, 10.38, 9.31, 10.38, 9.31, 8.92, 10.22, 8.92, 10.22, 7.95, 9.74, 9.51, 7.95, 9.74, 9.51, 9.66, 10.42, 9.66, 10.42, 10.35, 8.82, 10.35, 8.82, 9.45, 7.84. 9.45, 7.84. 11.24, 11.06, 11.24, 11.06, 9.84, 10.759.84, 10.75
Body Body Length Length (cm)(cm)
Number of Number of IndividualsIndividuals
7.00 to 7.00 to 7.997.99
22
8.00 to 8.00 to 8.998.99
44
9.00 to 9.00 to 9.999.99
77
10.00 to 10.00 to 10.9910.99
55
11.00 to 11.00 to 11.9911.99
22
HistogramHistogram
Scatter PlotScatter Plot
MeanMean
Mean = averageMean = average Not the only measure of centrality!Not the only measure of centrality!
Also median and mode! Also median and mode! ExampleExample
Bluegills (cm): 8.83, 9.25, 8.77, 10.38, 9.31, Bluegills (cm): 8.83, 9.25, 8.77, 10.38, 9.31, 8.92, 10.22, 7.95, 9.74, 9.51, 9.66, 10.42, 8.92, 10.22, 7.95, 9.74, 9.51, 9.66, 10.42, 10.35, 8.82, 9.45, 7.84. 11.24, 11.06, 9.84, 10.35, 8.82, 9.45, 7.84. 11.24, 11.06, 9.84, 10.7510.75
ModeMode Mode = most common Mode = most common
categorycategory Bluegills (cm)Bluegills (cm)
8.83, 9.25, 8.77, 10.38, 8.83, 9.25, 8.77, 10.38, 9.31, 8.92, 10.22, 7.95, 9.31, 8.92, 10.22, 7.95, 9.74, 9.51, 9.66, 10.42, 9.74, 9.51, 9.66, 10.42, 10.35, 8.82, 9.45, 7.84. 10.35, 8.82, 9.45, 7.84. 11.24, 11.06, 9.84, 11.24, 11.06, 9.84, 10.7510.75
MedianMedian
Median = the Median = the “middle one” “middle one” (for odd (for odd sample size)sample size) Or average of Or average of
the two in the two in the middle the middle for even for even sample sizesample size
Body Body Length (cm)Length (cm)
Number of Number of IndividualsIndividuals
7.00 to 7.997.00 to 7.99 22
8.00 to 8.998.00 to 8.99 44
9.00 to 9.999.00 to 9.99 77
10.00 to 10.00 to 10.9910.99
55
11.00 to 11.00 to 11.9911.99
22
RegressionRegression
Makes a “best fit” line for dataMakes a “best fit” line for data We can use MS Excel’s Graph We can use MS Excel’s Graph
Wizard functionWizard function Enter length into column AEnter length into column A Enter body mass into column BEnter body mass into column B Use Graph Wizard to graph of bluegill Use Graph Wizard to graph of bluegill
weight vs. lengthweight vs. length
Linear vs. Non-Linear Linear vs. Non-Linear RegressionRegression
Linear regressionLinear regression Assumes straight-line Assumes straight-line
relationshiprelationship y = mx + by = mx + b
Non-linear regressionNon-linear regression Uses other equations for lineUses other equations for line
Y = a + bx + cxY = a + bx + cx22
In Excel, click on lineIn Excel, click on line Add trendlineAdd trendline Choose linear or powerChoose linear or power Options:Options:
Show equationShow equation Show rShow r22
y = 0.1164x2.2756
R2 = 0.9185
0
50
100
150
200
250
0 10 20 30
Length (cm)
Mas
s (g
) Series1
Power (Series1)
Linear (Series1)