Estimation of the size of a closed population when capture probabilities vary among animals

Biometrika
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Abstract

A model which allows capture probabilities to vary by individuals is introduced for multiple recapture studies n closed populations. The set of individual capture probabilities is modelled as a random sample from an arbitrary probability distribution over the unit interval. We show that the capture frequencies are a sufficient statistic. A nonparametric estimator of population size is developed based on the generalized jackknife; this estimator is found to be a linear combination of the capture frequencies. Finally, tests of underlying assumptions are presented.
Publication type Article
Publication Subtype Journal Article
Title Estimation of the size of a closed population when capture probabilities vary among animals
Series title Biometrika
DOI 10.1093/biomet/65.3.625
Volume 65
Issue 3
Year Published 1978
Language English
Publisher Macmillan Co.
Publisher location Cambridge
Description 9 p.
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Biometrika
First page 625
Last page 633
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