Two of the insect species that were sampled were the large heath butterfly and the bog hoverfly.
The ecologists used the capture‐mark‐recapture technique and estimated population sizes using two different calculations: the Lincoln estimate and the Chapman estimate.
(i) Calculate the population sizes of the two insect species using each of the formulae below.
Write your answers in the table.
Lincoln estimate formula: population size =
Chapman estimate formula: population size =  alt="open parentheses fraction numerator open parentheses n subscript 1 plus 1 close parentheses cross times open parentheses n subscript 2 plus 1 close parentheses over denominator open parentheses m plus 1 close parentheses end fraction close parentheses minus 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n = number of individuals in a particular sample
m = number of marked individuals in the second sample
Species | Number captured and marked in sample 1 | Total number in sample 2 | Number of marked individuals in sample 2 | Population estimate (number of individuals) |
Lincoln estimate | Chapman estimate |
large heath butterfly | 77 | 73 | 4 | | |
bog hoverfly | 5 | 6 | 1 | | |
[2]
(ii) The Lincoln and Chapman formulae give different estimates for population size.
Give two further conclusions about the difference in population estimates given by the Lincoln and Chapman formulae.
[2]