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

A Rao-Blackwellized particle filter for joint parameter estimation and biomass tracking in a stochastic predator-prey system.
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Rao-Blackwellized 粒子滤波器,用于随机捕食者-被捕食系统中的联合参数估计和生物量跟踪。

DOI:
10.3934/mbe.2014.11.573
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发表时间:
2014
期刊:
Mathematical biosciences and engineering : MBE
影响因子:
--
通讯作者:
D. Ruiz
D. Ruiz
中科院分区:
--
文献类型:
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作者:
L. Martin;G. Gilioli;Ettore Lanzarone;J. Míguez;S. Pasquali;F. Ruggeri;D. Ruiz

文献摘要

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捕食系统的功能反应估计和种群跟踪是生态学中的重要问题。本文考虑一类具有Lotka-Volterra功能反应的随机捕食系统,提出了一种粒子滤波方法,用于:(a)估计功能反应中每个捕食者有效搜索率的行为参数;(B)利用现场数据预测种群生物量。特别是,所提出的技术相结合的顺序蒙特卡洛采样方案,用于跟踪随时间变化的生物量与未知的行为参数的分析整合。为了评估该方法的性能,我们显示的合成和观察到的数据收集在一个螨捕食者-猎物系统,即害虫螨二斑叶螨和捕食螨Phytoseiulus persimilis的结果。
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.