Principles of Biology
Principles of Biology
2nd Edition
ISBN: 9781259875120
Author: Robert Brooker, Eric P. Widmaier Dr., Linda Graham Dr. Ph.D., Peter Stiling Dr. Ph.D.
Publisher: McGraw-Hill Education
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Chapter 43, Problem 1TY

A student decides to conduct a mark-recapture experiment to estimate the population size of n x l x m x l x m x mosquitofish, a species of freshwater fish, in a small pond near his home. In the first catch, he marked 45 individuals. Two weeks later, he captured 62 individuals, of which 8 were marked. What is the estimated size of the population based on these data?

  1. 134
  2. 349
  3. 558
  4. 1,016
  5. 22,320

Questions 2–5 refer to the following table:

Age

0 100 35 1.00 0 0

1 65 ? 0.65 0 0

2 45 15 ? 3 1.35

330 20 0.301 ?

4 10 10 0.10 10.10

5 0 0 0.00 1 0.0

Expert Solution & Answer
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Summary Introduction

Introduction:

In biology, population size is the definite number of organisms in the population. The total population size is calculated by given formula:

Number of individuals in 1stcatchTotal population size, N=Number of marked recaptures in 2nd catchTotal number of 2nd catch

OR

Total population size, N=Number of marked individuals in 1stcatch×Total number of 2ndcatchNumber of marked recaptures in 2ndcatch

Populations are made of all individuals belonging to the same species who live together at the same time.

The density of population is the count of organisms per geographic area or volume, per unit. For example, the number of organisms per square meter, per hectare or per square ilo

Answer to Problem 1TY

The correct answer is option (b) 349.

Explanation of Solution

Explanation/justification for the correct answer:

Option (b) 349.

If,

Marked mosquito fish in 1st catch = 45 individuals

Recaptured mosquito fish in 2nd catch = 62

Marked recaptured mosquito fish in 2nd catch= 20, then according to the formula,

Totalpopulationsize, N=Numberofmarked individuals in1 stcatch× Total number of 2 ndcatchNumberofmarked recaptures in 2 ndcatch=45×628=27908=348.75349

From the equation, the estimate total population size of mosquito fish is 348.75349

So, this is the correct option.

Explanation for incorrect answer:

Option (a) 134. As explained in option (b), the estimated size of a population is not matched to given data. So, this is an incorrect option.

Option (c) 558. As explained in option (b), the estimated size of a population is not matched to given data. So, this is an incorrect option.

Option (d) 1.016. As explained in option (b), the estimated size of a population is not matched to given data. So, this is an incorrect option.

Option (e) 22.320. As explained in option (b), the estimated size of a population is not matched to given data. So, this is an incorrect option.

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