An ecologist conducted a mark-release-recapture study to estimate the population size of f… — JAMB UTME

An ecologist conducted a mark-release-recapture study to estimate the population size of fiddler crabs (*Uca tangeri*) in a mangrove swamp along the Bonny Estuary in Rivers State. During the first sampling session, $150$ crabs were captured, marked with non-toxic waterproof paint, and released back into the habitat. One week later, a second sample of $120$ crabs was captured from the same area, of which $40$ were found to be marked. What is the estimated total population size of fiddler crabs in this sampled area?

Cevap: 450 crabs

Cevap

The estimated total population size of fiddler crabs in the sampled area is 450.

The estimated population size is calculated using the Lincoln-Petersen index formula

N = \frac{M \times C}{R}

, where

M = 150

C = 120

, and

R = 40

. Substituting these values gives

N = \frac{150 \times 120}{40} = 450

crabs.

Adım Adım Çözüm

Extract the given values for the mark-release-recapture formula

Marked initially (

M

) =

150

; Total captured in second sample (

C

) =

120

; Marked recaptures (

R

) =

40

These three quantitative metrics are required to calculate the population estimate.

Apply the Lincoln-Petersen Index formula:

N = \frac{M \times C}{R}

N = \frac{150 \times 120}{40}

The index assumes that the proportion of marked individuals in the second sample equals the proportion of marked individuals in the total population.

Compute the final population estimate (

N

)

N = 450

Dividing

120

40

yields

3

, and multiplying

150

3

gives

450

crabs.

Anahtar Kavram

Lincoln-Petersen Index for Animal Population Estimation

Tahmini Süre:1m 30s

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