Abstract

SUMMARY Moran's remnoval method for estimating the size N of an animal population is discussed for the case of two samples and a new confidence interval for N is proposed. This new interval is found to be more satisfactory than the usual method when N < 200. The effect of a variable catchability in the population on the usual maximum likelihood estimate N is also considered. It is found that Rq and the usual estimate of the variance of N are both fairly insensitive to such variations. This robustness of N is also demonstrated for the case of three samples. L. INTRODUCTION Coinsider a closed animal population, i.e. a population in which immigration, emigration, birth, death, etc. are absent (or at least negligible for the period of investigation). Let N be the size of this population and suppose that k consecutive random samples of size yi (i = 1, 2, * *, k) are removed from the population. If p(= 1 - q), the probability of capture in a sample, is the same for each animal and remains constant from sample to sample, then the joint probability function of y, , y2 ,. * * , Yk is given by

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