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Consistent estimation of species abundance from a presence-absence map

Author

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