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Traditional spatio-temporal models for areal data typically begin with spatial structure imposed at the level of random effects and later extend to include temporal dynamics. We propose an alternative hierarchical modeling framework that…

Temporal data, notably time series and spatio-temporal data, are prevalent in real-world applications. They capture dynamic system measurements and are produced in vast quantities by both physical and virtual sensors. Analyzing these data…

Spatio-temporal models are widely used in many research areas including ecology. The recent proliferation of the use of in-situ sensors in streams and rivers supports space-time water quality modelling and monitoring in near real-time. A…

Understanding the temporal evolution of sets of vectors is a fundamental challenge across various domains, including ecology, crime analysis, and linguistics. For instance, ecosystem structures evolve due to interactions among plants,…

Machine Learning · Computer Science 2025-12-18 Taichi Aida , Mamoru Komachi , Toshinobu Ogiso , Hiroya Takamura , Daichi Mochihashi

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

Estimating the geographical range of a species from sparse observations is a challenging and important geospatial prediction problem. Given a set of locations where a species has been observed, the goal is to build a model to predict…

We introduce an approach to quickly and accurately approximate the cumulative distribution function of multivariate Gaussian distributions arising from spatial Gaussian processes. This approximation is trivially parallelizable and simple to…

Computation · Statistics 2020-07-31 Mauricio Nascimento , Benjamin A. Shaby

Continuous space species distribution models (SDMs) have a long-standing history as a valuable tool in ecological statistical analysis. Geostatistical and preferential models are both common models in ecology. Geostatistical models are…

Applications · Statistics 2023-07-17 Mario Figueira , David Conesa , Antonio López-Quílez , Iosu Paradinas

Spatial modelling of extreme values allows studying the risk of joint occurrence of extreme events at different locations and is of significant interest in climatic and other environmental sciences. A popular class of dependence models for…

Methodology · Statistics 2026-02-11 Lorenzo Dell'Oro , Carlo Gaetan , Thomas Opitz

This paper investigates the modeling of an important class of degradation data, which are collected from a spatial domain over time; for example, the surface quality degradation. Like many existing time-dependent stochastic degradation…

Methodology · Statistics 2017-12-29 Xiao Liu , Kyongmin Yeo , Jayant Kalagnanam

In the task of predicting spatio-temporal fields in environmental science using statistical methods, introducing statistical models inspired by the physics of the underlying phenomena that are numerically efficient is of growing interest.…

Methodology · Statistics 2024-07-23 Lucia Clarotto , Denis Allard , Thomas Romary , Nicolas Desassis

Increasingly larger data sets of processes in space and time ask for statistical models and methods that can cope with such data. We show that the solution of a stochastic advection-diffusion partial differential equation provides a…

Methodology · Statistics 2016-02-18 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel

One key task in environmental science is to map environmental variables continuously in space or even in space and time. Machine learning algorithms are frequently used to learn from local field observations to make spatial predictions by…

Machine Learning · Statistics 2024-04-11 Hanna Meyer , Marvin Ludwig , Carles Milà , Jan Linnenbrink , Fabian Schumacher

This paper contributes to the multivariate analysis of marked spatio-temporal point process data by introducing different partial point characteristics and extending the spatial dependence graph model formalism. Our approach yields a…

Methodology · Statistics 2020-03-06 Matthias Eckardt , Jonatan A. González , Jorge Mateu

The technology to generate Spatially Resolved Transcriptomics (SRT) data is rapidly being improved and applied to investigate a variety of biological tissues. The ability to interrogate how spatially localised gene expression can lend new…

Quantitative Methods · Quantitative Biology 2021-08-04 Natalie Charitakis , Mirana Ramialison , Hieu T. Nim

Environmental data may be "large" due to number of records, number of covariates, or both. Random forests has a reputation for good predictive performance when using many covariates with nonlinear relationships, whereas spatial regression,…

Applications · Statistics 2018-12-27 Eric W. Fox , Jay M. Ver Hoef , Anthony R. Olsen

Spatial statistics is a growing discipline providing important analytical techniques in a wide range of disciplines in the natural and social sciences. In the R package GWmodel, we introduce techniques from a particular branch of spatial…

Applications · Statistics 2014-03-18 Isabella Gollini , Binbin Lu , Martin Charlton , Christopher Brunsdon , Paul Harris

Understanding sub-cellular protein localisation is an essential component to analyse context specific protein function. Recent advances in quantitative mass-spectrometry (MS) have led to high resolution mapping of thousands of proteins to…

Applications · Statistics 2019-03-12 Oliver M. Crook , Kathryn S. Lilley , Laurent Gatto , Paul D. W. Kirk

With the rapid advances of data acquisition techniques, spatio-temporal data are becoming increasingly abundant in a diverse array of disciplines. Here we develop spatio-temporal regression methodology for analyzing large amounts of…

Methodology · Statistics 2021-12-01 Ting Fung Ma , Fangfang Wang , Jun Zhu , Anthony R. Ives , Katarzyna E. Lewińska

Multi-robot systems are essential for environmental monitoring, particularly for tracking spatial phenomena like pollution, soil minerals, and water salinity, and more. This study addresses the challenge of deploying a multi-robot team for…

Robotics · Computer Science 2025-02-12 Federico Pratissoli , Mattia Mantovani , Amanda Prorok , Lorenzo Sabattini