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

Laura Martín-Fernández | Zendy; Gianni Gilioli | Zendy; Ettore Lanzarone | Zendy; Joaquı́n Mı́guez | Zendy; Sara Pasquali | Zendy; Fabrizio Ruggeri | Zendy; Diego P. Ruíz | Zendy

Open Access

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

Author(s) -

Laura Martín-Fernández,

Gianni Gilioli,

Ettore Lanzarone,

Joaquı́n Mı́guez,

Sara Pasquali,

Fabrizio Ruggeri,

Diego P. Ruíz

Publication year - 2014

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2014.11.573

Subject(s) - particle filter , predation , predator , biomass (ecology) , tracking (education) , particle (ecology) , kalman filter , control theory (sociology) , joint (building) , mathematics , environmental science , ecology , statistics , biology , computer science , engineering , artificial intelligence , psychology , control (management) , architectural engineering , pedagogy

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research