Functional response estimation and population tracking in predator-prey systems are critical problems in ecology. In this paper we consider a stochastic predator-prey system with a Lotka-Volterra functional response and propose a particle filtering method for: (a) estimating the behavioral parameter representing the rate of effective search per predator in the functional response and (b) forecasting the population biomass using field data. In particular, the proposed technique combines a sequential Monte Carlo sampling scheme for tracking the time-varying biomass with the analytical integration of the unknown behavioral parameter. In order to assess the performance of the method, we show results for both synthetic and observed data collected in an acarine predator-prey system, namely the pest mite Tetranychus urticae and the predatory mite Phytoseiulus persimilis.

(2014). A Rao-Blackwellized particle filter for joint parameter estimation and biomass tracking in a stochastic predator-prey system [journal article - articolo]. In MATHEMATICAL BIOSCIENCES AND ENGINEERING. Retrieved from http://hdl.handle.net/10446/170485

A Rao-Blackwellized particle filter for joint parameter estimation and biomass tracking in a stochastic predator-prey system

Lanzarone, Ettore;
2014-01-01

Abstract

Functional response estimation and population tracking in predator-prey systems are critical problems in ecology. In this paper we consider a stochastic predator-prey system with a Lotka-Volterra functional response and propose a particle filtering method for: (a) estimating the behavioral parameter representing the rate of effective search per predator in the functional response and (b) forecasting the population biomass using field data. In particular, the proposed technique combines a sequential Monte Carlo sampling scheme for tracking the time-varying biomass with the analytical integration of the unknown behavioral parameter. In order to assess the performance of the method, we show results for both synthetic and observed data collected in an acarine predator-prey system, namely the pest mite Tetranychus urticae and the predatory mite Phytoseiulus persimilis.
articolo
2014
Martín-Fernández, Laura; Gilioli, Gianni; Lanzarone, Ettore; Míguez Arena, Joaquín; Pasquali, Sara; Ruggeri, Fabrizio; Ruiz Padillo, Diego P....espandi
(2014). A Rao-Blackwellized particle filter for joint parameter estimation and biomass tracking in a stochastic predator-prey system [journal article - articolo]. In MATHEMATICAL BIOSCIENCES AND ENGINEERING. Retrieved from http://hdl.handle.net/10446/170485
File allegato/i alla scheda:
File Dimensione del file Formato  
Paper Martin Fernandez et al.pdf

Solo gestori di archivio

Versione: publisher's version - versione editoriale
Licenza: Licenza default Aisberg
Dimensione del file 531.12 kB
Formato Adobe PDF
531.12 kB Adobe PDF   Visualizza/Apri
Pubblicazioni consigliate

Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/170485
Citazioni
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 7
social impact