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Estimating the parameters of a Poisson process model for predator–prey interactions

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  • Froda, Sorana
  • Ferland, René

Abstract

In this paper, we propose a flexible model for cyclic abundance data, that takes into account predator–prey interactions. The idea is to incorporate a predator–prey dynamical model into a non homogeneous Poisson process of periodic intensity rate. Further, we devise an easy to implement estimation method and derive asymptotic confidence intervals. Finally, a simulation study indicates that the method performs well for small samples which are typical in ecology.

Suggested Citation

  • Froda, Sorana & Ferland, René, 2012. "Estimating the parameters of a Poisson process model for predator–prey interactions," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2252-2259.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:12:p:2252-2259
    DOI: 10.1016/j.spl.2012.07.017
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    References listed on IDEAS

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    1. Helmers, Roelof & Wayan Mangku, I. & Zitikis, Ricardas, 2003. "Consistent estimation of the intensity function of a cyclic Poisson process," Journal of Multivariate Analysis, Elsevier, vol. 84(1), pages 19-39, January.
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    Cited by:

    1. Froda, Sorana & Vanciu, Vasile, 2013. "A bivariate non-homogeneous birth and death model for predator–prey interactions," Statistics & Probability Letters, Elsevier, vol. 83(11), pages 2526-2530.

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