Problem 11SE
The article “Estimating Population Abundance in Plant Species with Dormant LifeStages: Fire and the Endangered Plant Grevillea caleve R. Br.” (T. Auld and J. Scott, Ecological Management and Restoration, 2004:125129) presents estimates of population sizes of a certain rare shrub in areas burnt by fire. The following table presents population counts and areas (in nr) for several patches containing the plant.
Area 
Population 
Area 
Population 
Area 
Population 
Area 
Population 
3739 
3015 
2521 
707 
2259 
223 
841 
1720 
5277 
1847 
213 
113 
81 
15 
1500 
300 
400 
17 
11958 
1392 
33 
18 
228 
31 
345 
142 
1200 
157 
1254 
229 
228 
17 
392 
40 
12000 
711 
1320 
351 
10 
4 
7000 
2878 
10880 
74 
1000 
92 


a. Compute the leastsquares line for predicting population (y) from area (x).
b. Plot the residuals versus the fitted values. Does the model seem appropriate?
c. Compute the leastsquares line for predicting ln y from ln.x.
d. Plot the residuals versus the fitted values. Does the model seem appropriate?
e. Using the more appropriate model, construct a 95% prediction interval for the population in a patch whose area is 3000 m2.
CES210:ConservationandEnvironmentalScience ChapterSix: Population CaseStudy:Fishing to Extinction  Populationbiology, thescience of modeling changes in species abundance,is key to understandingthis controversy  Populationbiology allows us to identify overfishing,to modelsustainablecatch rates, and to warn abouthowquickly the species might disappearat current capturerates DYANMICSOF POPULATIONGROWTH  A 500poundfemaleBluefin can lay 30million eggs in a singlespawningseason, butfew ofthose hatchings will makeit to maturity. Ababy tunahas a less than aonein amillion chanceof survival. Ifit does liveto maturity, however,there’s almost nothingin theocean that can catch oreat it – except humans.Ordinarily thehigh fecundity ofadul