Bayesian Analysis

Using Individual-Level Models for Infectious Disease Spread to Model Spatio-Temporal Combustion Dynamics

Irene Vrbik, Rob Deardon, Zeny Feng, Abbie Gardner, and John Braun

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Individual-level models (ILMs), as defined by Deardon et al. (2010), are a class of models originally designed to model the spread of infectious disease. However, they can also be considered as a tool for modelling the spatio-temporal dynamics of fire. We consider the much simplified problem of modelling the combustion dynamics on a piece of wax paper under relatively controlled conditions. The models are fitted in a Bayesian framework using Markov chain Monte Carlo (MCMC) methods. The focus here is on choosing a model that best fits the combustion pattern.

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Bayesian Anal. Volume 7, Number 3 (2012), 615-638.

First available in Project Euclid: 28 August 2012

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individual-level models Markov chain Monte Carlo fire spread modelling Bayesian inference spatio-temporal dynamics


Vrbik, Irene; Deardon, Rob; Feng, Zeny; Gardner, Abbie; Braun, John. Using Individual-Level Models for Infectious Disease Spread to Model Spatio-Temporal Combustion Dynamics. Bayesian Anal. 7 (2012), no. 3, 615--638. doi:10.1214/12-BA721.

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