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Population Ecology Quantitative Analysis. Part 1: http://www.chegg.com/homework-

ID: 41645 • Letter: P

Question

Population Ecology Quantitative Analysis.

Part 1: http://www.chegg.com/homework-help/questions-and-answers/population-ecology-quantitative-analysis-part-2-http-wwwcheggcom-homework-help-questions-a-q7231637

Part 3: http://www.chegg.com/homework-help/questions-and-answers/population-ecology-quantitative-analysis-q7231675

The following demographic data were collected for a population of small furry mammals. This table was constructed by following a single cohort through their 10 y life span. Average reproductive output of females was measured every year (mx). Calculate the generation time T from the following equation T = xlxmx lxmx The intrinsic rate of increase r is given by the equation r = ln(Ro/T where Ro is the mean litter size (average number of offspring per female. Ro = lx mx What does this rate of increase say will happen to the population? The size of population of grasshoppers is estimated through a mark recapture study. What is the estimated population size if the number that are captured and marked is 110, the number that are recaptured is 87, and of those that are recaptured 29 are marked? Include a standard deviation on your estimate.

Explanation / Answer

xlxmx

Lxmx

0

0

1000

500

1800

600

3000

750

2100

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1080

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1050

150

640

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180

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0

Total sum= 9950

2680


T= 9950/2680= 3.712

Ro= 2680

thus, r= ln (Ro)/ T

         = 7.893/3.712

         = 2.126

the population will increase exponentially

formula: population size= (no. of animals marked in first visit K) X no. of animals captured in second visit 'n') / total marked animals recaptured 'k'.

                                 = 110 X 87 / 29

            population size =330.

using std deviation: formula is:

N= (K-1)(n-1)/ k-2

xlxmx

Lxmx

0

0

1000

500

1800

600

3000

750

2100

420

1080

150

1050

150

640

80

180

0

0

0

Total sum= 9950

2680