Hierarchical dynamic modeling of outbreaks of mountain pine beetle using partial differential equations

Yanbing Zheng, Brian H. Aukema

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

In this article, we develop spatial-temporal generalized linear mixed models for spatial-temporal binary data observed on a spatial lattice and repeatedly over discrete time points. To account for spatial and temporal dependence, we introduce a spatial-temporal random effect in the link function and model by a diffusion-convection dynamic model. We propose a Bayesian hierarchical model for statistical inference and devise Markov chain Monte Carlo algorithms for computation. We illustrate the methodology by an example of outbreaks of mountain pine beetle on the Chilcotin Plateau of British Columbia, Canada. We examine the effect of environmental factors while accounting for the potential spatial and temporal dependence.

Original languageEnglish (US)
Pages (from-to)801-816
Number of pages16
JournalEnvironmetrics
Volume21
Issue number7-8
DOIs
StatePublished - Nov 1 2010

Keywords

  • Dendroctonus ponderosae
  • Generalized linear mixed model
  • Mountain pine beetle
  • Partial differential equation
  • Spatial-temporal process

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