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

Sorana Froda and René Ferland

Statistics & Probability Letters, 2012, vol. 82, issue 12, 2252-2259

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.

Keywords: Cyclic populations; Count abundance data; Non homogeneous Poisson process; Parameter estimation; Lotka–Volterra ODE system (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2012.07.017

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