首页|A Bayesian spatio-temporal Poisson auto-regressive model for the disease infection rate: application to COVID-19 cases in England

A Bayesian spatio-temporal Poisson auto-regressive model for the disease infection rate: application to COVID-19 cases in England

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The COVID-19 pandemic provided new modelling challenges to investigate epidemic processes. This paper extends Poisson auto-regression to incorporate spatio-temporal dependence and characterize the local dynamics by borrowing information from adjacent areas. Adopted in a fully Bayesian framework and implemented through a novel sparse-matrix representation in Stan, the model has been validated through a simulation study. We use it to analyse the weekly COVID-19 cases in the English local authority districts and verify some of the epidemic-driving factors. The model detects substantial spatio-temporal heterogeneity and enables the formalization of novel model-based investigation methods for assessing additional aspects of disease epidemiology.

Bayesian hierarchical modellingCOVID-19Poisson autoregressionEndemic-Epidemic modelSpatio-temporal epidemiology

Pierfrancesco Alaimo Di Loro、Dankmar Boehning、Sujit K. Sahu

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Department of Law, Economics, Politics and Languages, LUMSA University, Via Transpontina, Rome 00192, Italy

Mathematical Sciences and Southampton Statistical Sciences Research Institute, University of Southampton, University RD, Southampton S017 1BJ, UK

2025

Journal of the royal statistical society, Series C. Applied statistics
  • 87