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An Efficiency Comparison Between Capture-Recapture Estimators Derived Using Maximum Likelihood and Martingale Theory

In: Wildlife 2001: Populations

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  • Kenneth Wilson

    (Colorado State University, Colorado Cooperative Fish and Wildlife Research Unit)

Abstract

Many capture-recapture population estimators have been derived using maximum likelihood (ML) theory. Recently, Becker (1984) and Yip (1989) introduced a capture-recapture population estimator derived using martingale theory. The estimator was developed for continuous time and allows individual capture probabilities to vary by time. A similar estimator was developed by Craig (1953) and Darroch (1958) using ML theory. In continuous time, animals are captured one at a time. Monte Carlo simulations were performed to assess the efficiency of the martingale estimator compared to the maximum likelihood estimator. The martingale estimator was less efficient than the ML estimator for all cases. Efficiency of the martingale estimator decreased with increasing capture probability and increased with increasing population size. Percent relative bias of both estimators was similar. The martingale approach may prove more useful for complex models where ML estimation has so far been difficult.

Suggested Citation

  • Kenneth Wilson, 1992. "An Efficiency Comparison Between Capture-Recapture Estimators Derived Using Maximum Likelihood and Martingale Theory," Springer Books, in: Dale R. McCullough & Reginald H. Barrett (ed.), Wildlife 2001: Populations, pages 102-113, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-2868-1_10
    DOI: 10.1007/978-94-011-2868-1_10
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