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The importance of modelling temperature fields goes beyond the need to understand a region's climate and serves too as a starting point for understanding their socioeconomic, and health consequences. The topography of the study region…

Applications · Statistics 2016-04-05 Camila M. Casquilho-Resende , Nhu D. Le , James V. Zidek

Statistical methods are required to evaluate and quantify the uncertainty in environmental processes, such as land and sea surface temperature, in a changing climate. Typically, annual harmonics are used to characterize the variation in the…

Applications · Statistics 2020-03-17 Joshua S. North , Erin M. Schliep , Christopher K. Wikle

We introduce a method for decomposition of trend, cycle and seasonal components in spatio-temporal models and apply it to investigate the existence of climate changes in temperature and rainfall series. The method incorporates critical…

Applications · Statistics 2017-03-21 Marcio Poletti Laurini

Precipitation exceedance probabilities are widely used in engineering design, risk assessment, and floodplain management. While common approaches like NOAA Atlas 14 assume that extreme precipitation characteristics are stationary over time,…

Applications · Statistics 2025-02-05 Yuchen Lu , Ben Seiyon Lee , James Doss-Gollin

Nonstationarity is a major challenge in analyzing spatial data. For example, daily precipitation measurements may have increased variability and decreased spatial smoothness in areas with high mean rainfall. Common nonstationary covariance…

Methodology · Statistics 2019-05-31 Geoffrey Colin Lee Peterson , Joseph Guinness , Adam Terando , Brian J. Reich

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

Machine Learning · Statistics 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

Methodology · Statistics 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

This work is motivated by constructing a weather simulator for precipitation. Temperature and humidity are two of the most important driving forces of precipitation, and the strategy is to have a stochastic model for temperature and…

Applications · Statistics 2015-05-27 Xiangping Hu , Ingelin Steinsland , Daniel Simpson , Sara Martino , Håvard Rue

Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

Applications · Statistics 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

This paper investigates the cross-correlations across multiple climate model errors. We build a Bayesian hierarchical model that accounts for the spatial dependence of individual models as well as cross-covariances across different climate…

Applications · Statistics 2012-03-02 Huiyan Sang , Mikyoung Jun , Jianhua Z. Huang

Monitoring daily weather fields is critical for climate science, agriculture, and environmental planning, yet fully probabilistic spatio-temporal models become computationally prohibitive at continental scale. We present a case study on…

Applications · Statistics 2026-02-12 Tim Gyger , Reinhard Furrer , Fabio Sigrist

We develop a unified statistical framework for attributing heatwaves as spatio-temporal phenomena under climate change. We quantify the impact of anthropogenic forcing on the probability and persistence of heatwaves not captured by standard…

Applications · Statistics 2026-04-30 Kamal Gasser , Johan Segers , Francesco Ragone

Aiming to generate realistic synthetic times series of the bivariate process of daily mean temperature and precipitations, we introduce a non-homogeneous hidden Markov model. The non-homogeneity lies in periodic transition probabilities…

Applications · Statistics 2018-10-29 Augustin Touron , Thi Thu Huong Hoang , Sylvie Parey

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

Methodology · Statistics 2019-10-02 Behnaz Pirzamanbein

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

Machine Learning · Computer Science 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

This paper proposes a physical-statistical modeling approach for spatio-temporal data arising from a class of stochastic convection-diffusion processes. Such processes are widely found in scientific and engineering applications where…

Applications · Statistics 2020-08-07 Xiao Liu , Kyongmin Yeo , Siyuan Lu

Acknowledging a considerable literature on modeling daily temperature data, we propose a multi-level spatio-temporal model which introduces several innovations in order to explain the daily maximum temperature in the summer period over 60…

Extreme precipitation events with large spatial extents may have more severe impacts than localized events as they can lead to widespread flooding. It is debated how climate change may affect the spatial extent of precipitation extremes,…

Methodology · Statistics 2022-12-07 Peng Zhong , Manuela Brunner , Thomas Opitz , Raphaël Huser

We introduce a nonstationary spatio-temporal statistical model for gridded data on the sphere. The model specifies a computationally convenient covariance structure that depends on heterogeneous geography. Widely used statistical models on…

Applications · Statistics 2016-02-25 Stefano Castruccio , Joseph Guinness
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