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Population density and how determining population size?

Population density:

Population density measures the number of individuals living in a specific area. It is usually expressed as:

  1. When the individuals are not mobile.

       Population Density = Total Population/land Area (sq km or sq mile)

     2. When individuals are very mobile and frequently move from one area to another, we can determine the number of population sizes by applying the mark-recapture technique. 

  • Mark-recapture technique: The mark-recapture technique was first developed by C.G.J. Petersen in 1896 and later refined by F.W. Lincoln in 1930. It is commonly known as the Lincoln-Petersen index when used for closed populations.

   Total population size (N) = Total individuals captured, marked (M1), and released in the first sample (S1) x Size of the second recaptured sample (S2)/ Number of marked individuals recaptured in the second sample (M2)

N= S1 x S2 / M2

Question: In an experiment to determine the number of rats in the field, 80 rats were initially captured, marked, and released. After one month, 100 rats were captured in the same field, of which 20 were previously marked ones. Based on the above observation, the estimated population size of rats in the field will be.

a) 160     

b) 200

c) 400

d) 1600

Answer: c) 400

Explanation:

S1= 80 ( randomly captured  and marked) rats

S2= 100 (recaptured mark+ unmarked) rats

M2= 20 marked rats in sample (S2)

Hence

 N=80 x 100 /20 = 400


Answer: c ) 400


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