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Multivariate spatially-oriented data sets are prevalent in the environmental and physical sciences. Scientists seek to jointly model multiple variables, each indexed by a spatial location, to capture any underlying spatial association for…

Methodology · Statistics 2021-08-19 Lu Zhang , Sudipto Banerjee

Due to climate change, the extreme wildfire has become one of the most dangerous natural hazards to human civilization. Even though, some wildfires may be initially caused by human activity, but the spread of wildfires is mainly determined…

Machine Learning · Computer Science 2025-03-13 Qijun Chen , Shaofan Li

We propose a novel Bayesian framework for changepoint detection in large-scale spherical spatiotemporal data, with broad applicability in environmental and climate sciences. Our approach models changepoints as spatially dependent…

Methodology · Statistics 2026-02-16 Samantha Shi-Jun , Bo Li

We investigate the changing nature of the frequency, magnitude and spatial extent of extreme temperatures in Ireland from 1931 to 2022. We develop an extreme value model that captures spatial and temporal non-stationarity in extreme daily…

Methodology · Statistics 2023-04-03 Dáire Healy , Jonathan Tawn , Peter Thorne , Andrew Parnell

Extreme environmental phenomena such as major precipitation events manifestly exhibit spatial dependence. Max-stable processes are a class of asymptotically-justified models that are capable of representing spatial dependence among extreme…

Applications · Statistics 2013-01-09 Brian J. Reich , Benjamin A. Shaby

Climate change has intensified extreme weather and wildfire conditions globally. Canada experienced record-breaking wildfires in 2023 and 2025, burning millions of hectares and severely impacting the Prairie provinces, with Manitoba facing…

Computers and Society · Computer Science 2026-04-17 Xiang Shi , Peng Hu

We develop a wildfire simulation model that evolves the temperature scalar field using an energy balance equation accounting for heat generation, transport, and loss. For these equations, we develop quasi-implicit time integration schemes…

Computational Engineering, Finance, and Science · Computer Science 2026-04-22 Juliusz Wasieleski , Tomasz Służalec , Maciej Woźniak , Marcin Łoś , Andres Medina , Paulina Sepulveda , Albert Oliver Serra , Eirik Valseth , Anna Paszyńska , Maciej Paszyński

Due to complex physical phenomena, the distribution of heavy rainfall events is difficult to model spatially. Physically based numerical models can often provide physically coherent spatial patterns, but may miss some important…

Applications · Statistics 2020-03-13 Marco Oesting , Philippe Naveau

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

Methodology · Statistics 2026-05-06 Gordon J. Ross , Dean Markwick

Recent research has demonstrated the potential of deep neural networks (DNNs) to accurately predict wildfire spread on a given day based upon high-dimensional explanatory data from a single preceding day, or from a time series of T…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Saad Lahrichi , Jake Bova , Jesse Johnson , Jordan Malof

The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This article reviews recent…

Methodology · Statistics 2012-08-17 A. C. Davison , S. A. Padoan , M. Ribatet

In this study, we introduce a novel and comprehensive extension of a Bayesian spatio-temporal disease mapping model that explicitly accounts for gender-specific effects of meteorological exposures. Leveraging fine-scale weekly mortality and…

Applications · Statistics 2025-07-18 Corinna Perchtold , Julia Eisenberg , Philipp Otto

Record-breaking temperature events are now very frequently in the news, viewed as evidence of climate change. With this as motivation, we undertake the first substantial spatial modeling investigation of temperature record-breaking across…

We develop a three-timescale framework for modelling climate change and introduce a space-heterogeneous one-dimensional energy balance model. This model, addressing temperature fluctuations from rising carbon dioxide levels and the…

Atmospheric and Oceanic Physics · Physics 2024-08-27 Gianmarco Del Sarto , Franco Flandoli

We present a multivariate hierarchical space-time model to describe the joint series of monthly extreme temperatures and amounts of rainfall. Data are available for 360 monitoring stations over 60 years, with missing data affecting almost…

We develop a spatio-temporal model to forecast sensor output at five locations in North East England. The signal is described using coupled dynamic linear models, with spatial effects specified by a Gaussian process. Data streams are…

Applications · Statistics 2018-06-15 Yingying Lai , Andrew Golightly , Richard Boys

Spatial and spatio-temporal single-structure point process models are widely used in epidemiology, biology, ecology, seismology... . However, most natural phenomena present multiple interaction structure or exhibit dependence at multiple…

Methodology · Statistics 2020-07-07 Morteza Raeisi , Florent Bonneu , Edith Gabriel

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

Methodology · Statistics 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

Non-terminal events can represent a meaningful change in a patient's life. Thus, better understanding and predicting their occurrence can bring valuable information to individuals. In a context where longitudinal markers could inform these…

Methodology · Statistics 2025-01-16 Juliette Ortholand , Stanley Durrleman , Sophie Tezenas du Montcel

Spatio-temporal Hawkes point processes are a particularly interesting class of stochastic point processes for modeling self-exciting behavior, in which the occurrence of one event increases the probability of other events occurring. These…

Computation · Statistics 2025-11-19 Alba Bernabeu , Jorge Mateu
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