Abstract
We study a continuous-time removal model for estimating the population size for a population in which a sub-population size ratio is known. The maximum likelihood estimate and the optimal martingale estimate of the population size are obtained; these are shown to be equivalent. A comparison between the proposed estimator and the maximum likelihood estimate which ignores the information on the known size ratio is made, using a simulation study. The asymptotic variances of these two estimators are also obtained, and a comparison between them is made. The sensitivity of mis-specification of the known size ratio is examined. We also apply the corresponding discrete-time model to the proposed continuous-time setting, and study the efficiency of the corresponding discrete-time type estimator relative to the proposed estimator.
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Xi, L., Yip, P.S.F. & Watson, R. Estimating Population Size in a Continuous-time Removal Experiment with a Known Sub-population Size Ratio. Environ Ecol Stat 13, 109–124 (2006). https://doi.org/10.1007/s10651-005-5694-y
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DOI: https://doi.org/10.1007/s10651-005-5694-y