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Approximations of the Bias in the Jolly-Seber Capture-Recapture Model

Richard O. Gilbert
Biometrics
Vol. 29, No. 3 (Sep., 1973), pp. 501-526
DOI: 10.2307/2529173
Stable URL: http://www.jstor.org/stable/2529173
Page Count: 26
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Approximations of the Bias in the Jolly-Seber Capture-Recapture Model
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Abstract

Estimates of the biases of the $Jolly-Seber estimates \hat{N}^*_i and \hat{N}_i$ of population size are obtained using Taylor series expansions and Monte Carlo simulations when (a) all assumptions underlying the Jolly-Seber model are satisfied, and (b) all assumptions are satisfied except that all animals are not equally catchable. Results are obtained for capture-recapture studies of length L = 10, 25, and 50 trap-days for closed populations of size N = 50 and 300 when the probability of capture of each animal remains constant over time. Taylor series are used to partition the total bias present in case (b) above into small sample bias and asymptotic relative bias (that due to unequal catchability). Biases are also obtained in the conditional case that the number of recaptures R$_i$ and m$_i$ are both greater than 2.

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