Bayesian copula-based modelling for multi-type spatio-temporal epidemic data

Fuente: arXiv
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Auteurs principaux: Adeoye, Matthew, Spencer, Simon E. F., Didelot, Xavier
Format: Preprint
Publié: 2026
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author Adeoye, Matthew
Spencer, Simon E. F.
Didelot, Xavier
author_facet Adeoye, Matthew
Spencer, Simon E. F.
Didelot, Xavier
contents The study of infectious disease epidemiology for multi-type disease pathogens requires modelling techniques that account for the complex interactions existing between strains across geography and time. In this paper, we propose a novel multi-type spatio-temporal infectious disease model to better support the understanding of these pathogens. We formulate a joint state-space for all epidemics arising for a given multi-type pathogen as well as biologically informed representations of how these epidemic states may interact. We introduce the use of several copula models to uncover the dependence structure of epidemics between strains. We develop a computationally efficient Markov chain Monte Carlo (MCMC) sampling scheme for all proposed models. We also provide robust model comparison techniques using bridge sampling and importance sampling to evaluate model evidence in high-dimensional space. We demonstrate the performance of our proposed models using simulated datasets, where simulated epidemics were successfully identified and associated parameters correctly inferred. The proposed models were also fitted to monthly multi-type incidence data on invasive meningococcal disease from 26 European countries. The accompanying software is freely available as a R package at https://github.com/Matthewadeoye/MultiOutbreaks.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03608
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Bayesian copula-based modelling for multi-type spatio-temporal epidemic data
Adeoye, Matthew
Spencer, Simon E. F.
Didelot, Xavier
Methodology
The study of infectious disease epidemiology for multi-type disease pathogens requires modelling techniques that account for the complex interactions existing between strains across geography and time. In this paper, we propose a novel multi-type spatio-temporal infectious disease model to better support the understanding of these pathogens. We formulate a joint state-space for all epidemics arising for a given multi-type pathogen as well as biologically informed representations of how these epidemic states may interact. We introduce the use of several copula models to uncover the dependence structure of epidemics between strains. We develop a computationally efficient Markov chain Monte Carlo (MCMC) sampling scheme for all proposed models. We also provide robust model comparison techniques using bridge sampling and importance sampling to evaluate model evidence in high-dimensional space. We demonstrate the performance of our proposed models using simulated datasets, where simulated epidemics were successfully identified and associated parameters correctly inferred. The proposed models were also fitted to monthly multi-type incidence data on invasive meningococcal disease from 26 European countries. The accompanying software is freely available as a R package at https://github.com/Matthewadeoye/MultiOutbreaks.
title Bayesian copula-based modelling for multi-type spatio-temporal epidemic data
topic Methodology
url https://arxiv.org/abs/2605.03608