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Biometrika 1979 66(3):485-494; doi:10.1093/biomet/66.3.485
© 1979 by Biometrika Trust
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Population estimation by the removal method assuming proportional trapping

I. J. GOOD, BYRON C. LEWIS, RAYMOND A. GASKINS and L. W. HOWELL

Department of Statistics, Virginia Polytechnic Institute and State University Blacksburg

Moran (1951) proposed an approximate formula for the likelihood of the size of an animal population when the ‘removal method’ is used. We here obtain an exact formula for the likelihood, based on an assumption of ‘proportional trapping’ of animals. The formula is ill conditioned and requires extremely high precision arithmetic for its numerical evaluation. A form of minimum chi-squared or weighted least-squares method is also given for estimating population size. For this method the calculations are not badly ill conditioned, and the method cuts down the work required for finding the maximum likelihood solution.

Key Words: Animal population • High precision calculation • Markov processes in population estimation • Population estimation • Removal method of estimation


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