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    A random sample of 180 individuals in a population were captured, marked, and released. After a few weeks, a second set of 44 individuals was collecte
    Question



    A random sample of 180 individuals in a population were captured, marked, and released. After a few weeks, a second set of 44 individuals was collected. Out of these 44 individuals, 7 were marked. The estimated population size would be:

    A.

    1100

    B.

    1131

    C.

    180

    D.

    44

    Correct option is B


    1. Method Used: Lincoln-Petersen Index The formula for estimating the population size (N) using the mark-recapture method is:

    Where:
    · M =180 (Number of marked individuals in the first sample)
    · C = 44 (Total number of individuals in the second sample)
    · R = 7 (Number of marked individuals recaptured in the second sample)
    Calculation: Substituting the given values:

    Rounding to the nearest whole number gives 1131.
    Information Booster: 1. Applications of Mark-Recapture Method:
    · Estimating populations of wildlife in forests, oceans, and rivers.
    · Monitoring population trends of endangered species.
    2. Assumptions for Accuracy:
    · The population is stable during the study.
    · The marks are durable and do not affect the behavior or survival of individuals.
    · Sampling is random and unbiased.
    3. Potential Sources of Error:
    · Overestimation or underestimation if the marked individuals are easier or harder to recapture.
    · Population changes due to migration, birth, or death during the study.
    4. Other Techniques for Population Estimation:
    · Quadrat Sampling: For immobile populations like plants.
    · Distance Sampling: Uses observed distances to estimate densities.

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