Abstract
A Rao–Blackwellized particle filter for estimating the behavioral parameter of the functional response and tracking the biomass of each population in a stochastic predator–prey system is presented in this paper. We consider a predator–prey model with a Lotka–Volterra functional response and small sets of field data. A first validation of the approach has been carried out using synthetic data.
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Notes
- 1.
The proposed methods demand that the prior of q 0 be Gaussian for formal consistency. However, even with the mean of q 0 at k = 0 equal to zero, the inference algorithm performs well; hence, we have chosen to use this prior to illustrate the robustness of the method.
References
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Acknowledgements
This work has been supported by the “Consejería de Innovación, Ciencia y Empresa de la Junta de Andalucía” of Spain under project TIC-03269 and “Ministerio de Economía y Competitividad” of Spain under project COMPREHENSION TEC2012-38883-C02-01.
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Martín-Fernández, L. et al. (2014). Joint Parameter Estimation and Biomass Tracking in a Stochastic Predator–Prey System. In: Lanzarone, E., Ieva, F. (eds) The Contribution of Young Researchers to Bayesian Statistics. Springer Proceedings in Mathematics & Statistics, vol 63. Springer, Cham. https://doi.org/10.1007/978-3-319-02084-6_6
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DOI: https://doi.org/10.1007/978-3-319-02084-6_6
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