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Biometrika 1992 79(3):543-553; doi:10.1093/biomet/79.3.543
© 1992 by Biometrika Trust
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Capture-recapture estimation with samples of size one using frequency data

RICHARD M. WILSON and MARK F. COLLINS

Department of Mathematics, University College Canberra, ACT 2601, Australia

One way in which a capture-recapture experiment can be designed is to count each capture occasion as a separate sample, and tally the number of individuals caught once, twice, and so on. This paper discusses the estimators currently used for this type of experiment, and suggests some new ones. Each of the estimators is categorized by its derivation. Following this, their properties are discussed, particularly their bias and variance, with the aim of choosing one or two of the estimators which are the ‘best’ to use, especially in handling a heterogeneous population. It is found that the bias adjusted estimator of Chao (1989) is the best to use when the number of captures is relatively small, and that the estimator of Darroch & Ratcliff (1980) should be used otherwise.

Key Words: Animal abundance • Capture-recapture • Samples of size one


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