NChapman: Chapman Estimator

In mbtyers/recapr: Two Event Mark-Recapture Experiment

Description

Calculates the value of the Chapman estimator for abundance in a mark-recapture experiment, with given values of sample sizes and number of recaptures. The Chapman estimator (Chapman modification of the Petersen estimator) typically outperforms the Petersen estimator, even though the Peterson estimator is the MLE.

Usage

NChapman(n1, n2, m2)

Arguments

n1	Number of individuals captured and marked in the first sample. This may be a single number or vector of values.
n2	Number of individuals captured in the second sample. This may be a single number or vector of values.
m2	Number of marked individuals recaptured in the second sample. This may be a single number or vector of values.

Value

The value of the Chapman estimator, calculated as (n1+1)*(n2+1)/(m2+1) - 1

Note

Any Petersen-type estimator (such as this) depends on a set of assumptions:

• The population is closed; that is, that there are no births, deaths, immigration, or emigration between sampling events

• All individuals have the same probability of capture in one of the two events, or complete mixing occurs between events

• Marking in the first event does not affect probability of recapture in the second event

• Individuals do not lose marks between events

• All marks will be reported in the second event

Author(s)

Matt Tyers

References

Chapman, D.G. (1951). Some properties of the hypergeometric distribution with applications to zoological censuses. Univ. Calif. Public. Stat. 1, 131-60.

See Also

NPetersen, NBailey, vChapman, seChapman, rChapman, pChapman, powChapman, ciChapman

Examples

NChapman(n1=100, n2=100, m2=20)

mbtyers/recapr documentation built on Sept. 13, 2021, 11:54 a.m.