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On the use of linear models in the estimation of the size of a population using capture-recapture data

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  • Huggins, Richard

Abstract

In the analysis of capture-recapture data it is often assumed that the population is closed and any variability in the expected number of captures between occasions is due to changes in the capture probabilities. However, it is also possible that the catchable population changes in a systematic way between occasions. Here a martingale estimating equation approach is used to extend closed population estimators to models with systematic changes in the population size that may be explained by covariates. The procedure is applied to capture-recapture data collected on a population of mountain pygmy possums (Burramys Parvus) with capture occasions before and after a major bushfire, to examine the effect of the fire on the population size.

Suggested Citation

  • Huggins, Richard, 2007. "On the use of linear models in the estimation of the size of a population using capture-recapture data," Statistics & Probability Letters, Elsevier, vol. 77(6), pages 649-653, March.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:6:p:649-653
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    References listed on IDEAS

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    1. William A. Link, 2003. "Nonidentifiability of Population Size from Capture-Recapture Data with Heterogeneous Detection Probabilities," Biometrics, The International Biometric Society, vol. 59(4), pages 1123-1130, December.
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    1. Qian, Guoqi & Li, Ning & Huggins, Richard, 2011. "Using capture-recapture data and hybrid Monte Carlo sampling to estimate an animal population affected by an environmental catastrophe," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 655-666, January.

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