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Consistent estimation of species abundance from a presence-absence map

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  • Müller, Christine H.
  • Huggins, Richard
  • Hwang, Wen-Han

Abstract

The estimation of the abundance of a species using the presence or absence of the species over a grid of cells simplifies data collection but the resulting statistical analysis is challenging. Several estimators have been proposed but their properties are unknown. Here we consider a generalized gamma-Poisson model which allows dependencies across the grid and develop a new estimator for this model. It is shown that this estimator is consistent, allowing us to conclude that it is indeed possible to estimate abundance from presence-absence maps.

Suggested Citation

  • Müller, Christine H. & Huggins, Richard & Hwang, Wen-Han, 2011. "Consistent estimation of species abundance from a presence-absence map," Statistics & Probability Letters, Elsevier, vol. 81(9), pages 1449-1457, September.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:9:p:1449-1457
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    References listed on IDEAS

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    1. Amemiya, Takeshi, 1973. "Regression Analysis when the Dependent Variable is Truncated Normal," Econometrica, Econometric Society, vol. 41(6), pages 997-1016, November.
    2. White, Halbert, 1980. "Nonlinear Regression on Cross-Section Data," Econometrica, Econometric Society, vol. 48(3), pages 721-746, April.
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    Cited by:

    1. Wen-Han Hwang & Richard Huggins & Lu-Fang Chen, 2017. "A Note on the Inverse Birthday Problem With Applications," The American Statistician, Taylor & Francis Journals, vol. 71(3), pages 191-201, July.
    2. Wen-Han Hwang & Richard Huggins, 2016. "Estimating Abundance from Presence–Absence Maps via a Paired Negative-Binomial Model," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(2), pages 573-586, June.
    3. Ya-Mei Chang & Ying-Chi Huang, 2024. "Estimating Species Abundance from Presence–Absence Maps by Kernel Estimation," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 29(4), pages 812-830, December.

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