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Modeling spatial heterogeneity and associated critical transitions remains a fundamental challenge in geography and environmental science. While conventional Geographically Weighted Regression (GWR) and deep learning models have improved…

Artificial Intelligence · Computer Science 2026-04-07 Sooyoung Lim , Zhenlong Li , Zi-Kui Liu

Deforestation is one of the contributing factors to climate change. Climate change has a serious impact on human life, and it occurs due to emission of greenhouse gases, such as carbon dioxide, to the atmosphere. It is important to know the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Bella Septina Ika Hartanti , Valentino Vito , Aniati Murni Arymurthy , Andie Setiyoko

The dynamics of a rain forest is extremely complex involving births, deaths and growth of trees with complex interactions between trees, animals, climate, and environment. We consider the patterns of recruits (new trees) and dead trees…

Methodology · Statistics 2024-09-19 Abdollah Jalilian , Francisco Cuevas-Pacheco , Ganggang Xu , Rasmus Waagepetersen

Localised patterns are often observed in models for dryland vegetation, both as peaks of vegetation in a desert state and as gaps within a vegetated state, known as `fairy circles'. Recent results from radial spatial dynamics show that…

Dynamical Systems · Mathematics 2024-10-14 Dan J. Hill

The USDA Forest Inventory and Analysis (FIA) program conducts a national forest inventory for the United States through a network of permanent field plots. FIA produces estimates of area averages and totals for plot-measured forest…

Applications · Statistics 2025-09-04 Paul B. May , Andrew O. Finley

Area-level models for small area estimation typically rely on areal random effects to shrink design-based direct estimates towards a model-based predictor. Incorporating the spatial dependence of the random effects into these models can…

Methodology · Statistics 2024-04-22 Sho Kawano , Paul A. Parker , Zehang Richard Li

Mesoscale convective systems MCSs play a central role in tropical rainfall and are closely linked to extreme precipitation and large scale variability. However, a quantitative understanding of their environmental controls remains…

Computational Physics · Physics 2026-04-24 Huaiping Wang , Qiu Yang

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

Wildfire forecasting has been one of the most critical tasks that humanities want to thrive. It plays a vital role in protecting human life. Wildfire prediction, on the other hand, is difficult because of its stochastic and chaotic…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Thai-Nam Hoang , Sang Truong , Chris Schmidt

In light of intense hurricane activity along the U.S. Atlantic coast, attention has turned to understanding both the economic impact and behaviour of these storms. The compound Poisson-lognormal process has been proposed as a model for…

Applications · Statistics 2016-02-15 Simon Mak , Derek Bingham , Yi Lu

Path planning in dynamic environments is essential to high-risk applications such as unmanned aerial vehicles, self-driving cars, and autonomous underwater vehicles. In this paper, we generate collision-free trajectories for a robot within…

Robotics · Computer Science 2020-07-30 Sourav Dutta , Tuan Tran , Banafsheh Rekabdar , Chinwe Ekenna

We propose a new point process model that combines, in the spatio-temporal setting, both multi-scaling by hybridization and hardcore distances. Our so-called hybrid Strauss hardcore point process model allows different types of interaction,…

Applications · Statistics 2023-08-15 Morteza Raeisi , Florent Bonneu , Edith Gabriel

I present three models of plant--pathogen interactions. The models are stochastic and spatially explicit at the scale of individual plants. For each model, I use a version of pair approximation or moment closure along with a separation of…

Numerical Analysis · Mathematics 2025-10-20 David H. Brown

We develop Bayesian nonparametric models for spatially indexed data of mixed type. Our work is motivated by challenges that occur in environmental epidemiology, where the usual presence of several confounding variables that exhibit complex…

Methodology · Statistics 2014-10-17 Georgios Papageorgiou , Sylvia Richardson , Nicky Best

Thermal conditions in the urban canopy exhibit stochastic variability driven by varied radiative fluxes and turbulent wind fields, requiring probabilistic rather than deterministic prediction methods. This study presents a probabilistic…

Applied Physics · Physics 2025-12-10 Shisheng Chen , Ruohan Xu , Nyuk Hien Wong , Shanshan Tong , Jiashuo Wang , Matthaios Santamouris

We propose two novel ways of introducing dependence among Poisson counts through the use of latent variables in a three levels hierarchical model. Marginal distributions of the random variables of interest are Poisson with strict…

Methodology · Statistics 2020-11-06 Luis E. Nieto-Barajas

Self-Exciting models are statistical models of count data where the probability of an event occurring is influenced by the history of the process. In particular, self-exciting spatio-temporal models allow for spatial dependence as well as…

Computation · Statistics 2017-09-29 Nicholas J. Clark , Philip M. Dixon

Event attribution in the context of climate change seeks to understand the role of anthropogenic greenhouse gas emissions on extreme weather events, either specific events or classes of events. A common approach to event attribution uses…

Methodology · Statistics 2018-02-06 Christopher J. Paciorek , Dáithí A. Stone , Michael F. Wehner

Forest fires pose a natural threat with devastating social, environmental, and economic implications. The rapid and highly uncertain rate of spread of wildfires necessitates a trustworthy digital tool capable of providing real-time…

To study the impact of climate variables on morbidity of some diseases in Mexico, we propose a spatio-temporal varying coefficients regression model. For that we introduce a new spatio-temporal dependent process prior, in a Bayesian…

Applications · Statistics 2019-12-02 Luis E. Nieto-Barajas
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