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We propose a new centered autologistic spatio-temporal model for binary data on a lattice. The centering allows the interpretation of the autoregression coefficients in separating the large scale structure of the model corresponding to an…

Applications · Statistics 2018-11-19 Anne Gégout-Petit , Lucia Guérin-Dubrana , Shuxian Li

In health cohort studies, repeated measures of markers are often used to describe the natural history of a disease. Joint models allow to study their evolution by taking into account the possible informative dropout usually due to clinical…

Robust forecasting of the future anatomical changes inflicted by an ongoing disease is an extremely challenging task that is out of grasp even for experienced healthcare professionals. Such a capability, however, is of great importance…

Computer Vision and Pattern Recognition · Computer Science 2022-11-09 Dmitrii Lachinov , Arunava Chakravarty , Christoph Grechenig , Ursula Schmidt-Erfurth , Hrvoje Bogunovic

Introduction The tau statistic is a recent second-order correlation function that can assess the magnitude and range of global spatiotemporal clustering from epidemiological data containing geolocations of individual cases and, usually,…

Vector-borne diseases arise from the coupled dynamics of human mobility and mosquito ecology, producing outbreaks shaped by both spatial distributions and temporal patterns of movement. Here we develop a coarse-grained hub--leaf reduction…

Populations and Evolution · Quantitative Biology 2025-08-29 Bibandhan Poudyal , Gourab Ghoshal

Accurate spatiotemporal modeling of conditions leading to moderate and large wildfires provides better understanding of mechanisms driving fire-prone ecosystems and improves risk management. We here develop a joint model for the occurrence…

Methodology · Statistics 2021-07-15 Jonathan Koh , François Pimont , Jean-Luc Dupuy , Thomas Opitz

Epidemiologists commonly use regional aggregates of health outcomes to map mortality or incidence rates and identify geographic disparities. However, to detect health disparities across regions, it is necessary to identify "difference…

Methodology · Statistics 2025-05-14 Luca Aiello , Sudipto Banerjee

In this paper we set out general principles and develop geostatistical methods for the analysis of data from spatio-temporally referenced prevalence surveys. Our objective is to provide a tutorial guide that can be used in order to identify…

Methodology · Statistics 2018-02-20 Emanuele Giorgi , Peter J. Diggle , Robert W. Snow , Abdisalan M. Noor

We propose a causal hidden Markov model to achieve robust prediction of irreversible disease at an early stage, which is safety-critical and vital for medical treatment in early stages. Specifically, we introduce the hidden variables which…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jing Li , Botong Wu , Xinwei Sun , Yizhou Wang

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

Given that hierarchical count data in many fields are not Normally-distributed and include random effects, this paper extends the Generalized Linear Mixed Models (GLMMs) into Poisson Mixed-Effect Linear Model (PMELM) and do numerical…

Methodology · Statistics 2018-05-09 N. Zhang

Among the proposals for joint disease mapping, the shared component model has become more popular. Another recent advance to strengthen inference of disease data has been the extension of purely spatial models to include time and space-time…

Applications · Statistics 2020-05-04 Behzad Mahaki , Yadollah Mehrabi , Amir Kavousi , Volker J Schmid

Pavement rutting poses a significant challenge in flexible pavements, necessitating costly asphalt resurfacing. To address this issue comprehensively, we propose an advanced Bayesian hierarchical framework of latent Gaussian models with…

The spatial scan statistic is widely used in epidemiology and medical studies as a tool to identify hotspots of diseases. The classical spatial scan statistic assumes the number of disease cases in different locations have independent…

Applications · Statistics 2009-09-29 Ji Meng Loh , Zhengyuan Zhu

In the realm of large-scale spatiotemporal data, abrupt changes are commonly occurring across both spatial and temporal domains. This study aims to address the concurrent challenges of detecting change points and identifying spatial…

Methodology · Statistics 2025-05-05 Zerui Zhang , Xin Wang , Xin Zhang , Jing Zhang

As the COVID-19 pandemic continues to ravage the world, it is of critical significance to provide a timely risk prediction of the COVID-19 in multi-level. To implement it and evaluate the public health policies, we develop a framework with…

Physics and Society · Physics 2020-12-02 Lingxiao Wang , Tian Xu , Till Hannes Stoecker , Horst Stoecker , Yin Jiang , Kai Zhou

In environmental science applications, extreme events frequently exhibit a complex spatio-temporal structure, which is difficult to describe flexibly and estimate in a computationally efficient way using state-of-art parametric…

Methodology · Statistics 2022-12-22 Marco Oesting , Raphaël Huser

With COVID-19 affecting every country globally and changing everyday life, the ability to forecast the spread of the disease is more important than any previous epidemic. The conventional methods of disease-spread modeling, compartmental…

Machine Learning · Statistics 2022-08-19 Benjamin Lucas , Behzad Vahedi , Morteza Karimzadeh

The size and shape of the region affected by an outbreak is relevant to understand the dynamics of a disease and help to organize future actions to mitigate similar events. A simple extension of the SIR model is considered, where agents…

Statistical Mechanics · Physics 2023-05-03 Paulo Murilo C. de Oliveira , Daniel A. Stariolo , Jeferson J. Arenzon

We present a class of spatiotemporal models for Poisson areal data suitable for the analysis of emerging infectious diseases. These models assume Poisson observations related through a link equation to a latent random field process. This…

Methodology · Statistics 2022-06-03 Marco A. R. Ferreira , Juan C. Vivar