Estimating the parameters of a Poisson process model for predator–prey interactions
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.
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Volume (Year): 82 (2012)
Issue (Month): 12 ()
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- 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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