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Estimating the size of an open population using sparse capture–recapture data

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  • Richard Huggins
  • Jakub Stoklosa
  • Cameron Roach
  • Paul Yip

Abstract

Sparse capture–recapture data from open populations are difficult to analyze using currently available frequentist statistical methods. However, in closed capture–recapture experiments, the Chao sparse estimator (Chao, 1989, Biometrics 45, 427–438) may be used to estimate population sizes when there are few recaptures. Here, we extend the Chao (1989) closed population size estimator to the open population setting by using linear regression and extrapolation techniques. We conduct a small simulation study and apply the models to several sparse capture–recapture data sets.

Suggested Citation

  • Richard Huggins & Jakub Stoklosa & Cameron Roach & Paul Yip, 2018. "Estimating the size of an open population using sparse capture–recapture data," Biometrics, The International Biometric Society, vol. 74(1), pages 280-288, March.
    • Handle: RePEc:bla:biomet:v:74:y:2018:i:1:p:280-288
    DOI: 10.1111/biom.12718
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    References listed on IDEAS

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    1. Richard M. Huggins & Paul S. F. Yip, 1999. "Estimation of the Size of an Open Population from Capture-Recapture Data Using Weighted Martingale Methods," Biometrics, The International Biometric Society, vol. 55(2), pages 387-395, June.
    2. Stoklosa, Jakub & Huang, Yih-Huei & Furlan, Elise & Hwang, Wen-Han, 2016. "On quadratic logistic regression models when predictor variables are subject to measurement error," Computational Statistics & Data Analysis, Elsevier, vol. 95(C), pages 109-121.
    3. William A. Link & Richard J. Barker, 2005. "Modeling Association among Demographic Parameters in Analysis of Open Population Capture–Recapture Data," Biometrics, The International Biometric Society, vol. 61(1), pages 46-54, March.
    4. William L. Kendall & Rhema Bjorkland, 2001. "Using Open Robust Design Models to Estimate Temporary Emigration from Capture—Recapture Data," Biometrics, The International Biometric Society, vol. 57(4), pages 1113-1122, December.
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    1. Li, Haoqi & Lin, Huazhen & Yip, Paul S.F. & Li, Yuan, 2019. "Estimating population size of heterogeneous populations with large data sets and a large number of parameters," Computational Statistics & Data Analysis, Elsevier, vol. 139(C), pages 34-44.

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