A scientist is trying to determine the population size of western fence lizards (Sceloporus occidentalis) in the Sycamore Canyon Park in Riverside using the mark-recapture method. During her first sampling event, she caught and marked 50 lizards which she then released back into the population. A week later she caught a total of 45 lizards, 7 of which were marked. What is the estimated population size of the western fence lizard?

The mark-recapture method is an indirect method to estimate population sizes. In this example, the estimated population size of the western fence lizard is N = 321.42 individuals.

There are different methods to study population density.

There are direct methods and indirect methods.

Among these last ones, we might find the Mark-Recapture technique.

The Mark-Recapture technique assumptions are

The method consists of  

1) Capturing a first sample of individuals belonging to the population under study, in this case, lizard's population.

2) Marking the captured individuals and releasing them again.

3) Taking a second sample where a new capture is done

4) Counting the number of individuals that are already marked. These marked individuals belong to the first sample.

5) Calculating the population size by using the Lincoln Index or any other index.

The Lincolns Index estates that to estimate the total number of individuals in this population, N, the following equation must be considered:

                                    N =  (n1 x n2) / m

1) The initial sample has n1 number of individuals

2) The second sample has n2 number of individuals

4) The number of already marked individuals is m

5) The total number of individuals in the population is N

In the exposed example,

N =  (n1 x n2) / m

N = ( 50 x 45 ) / 7

N = 2250 / 7

N = 321.428 ≅ 321.42 individuals

The estimated population size of the western fence lizard is N = 321.42 individuals.

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approximately 321

Explanation:

Using the mark recapture method formula, we can estimate the population size of the western fence lizard from this.

N = (M*C)/R

Where N is the estimated pop size

M is the first capture marked

C is the total second capture

R is the marked recaptured

Thus, N = (50*45) / 7

N =2250/7 = approximately 321

in 1859, charles darwin set out his theory of evolution by natural selection as an explanation for adaptation and speciation. he defined natural selection as the "principle by which each slight variation [of a trait], if useful, is preserved".