When mechanism matters: Bayesian forecasting using models of ecological diffusion

Authored by Trevor J Hefley, Mevin B Hooten, Robin E Russell, Daniel P Walsh, James A Powell

Date Published: 2017

DOI: 10.1111/ele.12763

Sponsors: United States National Science Foundation (NSF)

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

Ecological diffusion is a theory that can be used to understand and forecast spatio-temporal processes such as dispersal, invasion, and the spread of disease. Hierarchical Bayesian modelling provides a framework to make statistical inference and probabilistic forecasts, using mechanistic ecological models. To illustrate, we show how hierarchical Bayesian models of ecological diffusion can be implemented for large data sets that are distributed densely across space and time. The hierarchical Bayesian approach is used to understand and forecast the growth and geographic spread in the prevalence of chronic wasting disease in white-tailed deer (Odocoileus virginianus). We compare statistical inference and forecasts from our hierarchical Bayesian model to phenomenological regression-based methods that are commonly used to analyse spatial occurrence data. The mechanistic statistical model based on ecological diffusion led to important ecological insights, obviated a commonly ignored type of collinearity, and was the most accurate method for forecasting.
Tags
Agent-based model regression selection Dispersal Guide invasion Prediction Population-dynamics Spread Partial-differential-equations Generalized additive-models Mule deer Chronic wasting disease Bayesian analysis Boosted regression trees Generalised additive model Partial differential equation Spatial confounding