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Hydroclimatic time series analysis focuses on a few feature types (e.g., autocorrelations, trends, extremes), which describe a small portion of the entire information content of the observations. Aiming to exploit a larger part of the…

In this article, it is described how to use statistical data analysis to obtain models directly from data. The focus is put on finding nonlinearities within a generalized additive model. These models are found by the means of backfitting…

Pattern Formation and Solitons · Physics 2007-05-23 M. Abel

The last decades have seen an unprecedented increase in the availability of data sets that are inherently global and temporally evolving, from remotely sensed networks to climate model ensembles. This paper provides a view of statistical…

Statistics Theory · Mathematics 2017-06-29 Emilio Porcu , Alfredo Alegría , Reinhard Furrer

In traditional extreme value analysis, the bulk of the data is ignored, and only the tails of the distribution are used for inference. Extreme observations are specified as values that exceed a threshold or as maximum values over distinct…

Applications · Statistics 2021-10-20 Mitchell Krock , Julie Bessac , Michael L. Stein , Adam H. Monahan

Stochastic process models for spatiotemporal data underlying random fields find substantial utility in a range of scientific disciplines. Subsequent to predictive inference on the values of the random field (or spatial surface indexed…

Methodology · Statistics 2024-07-26 Aritra Halder , Didong Li , Sudipto Banerjee

The unusually warm sea surface temperature events known as marine heatwaves (MHWs) have a profound impact on marine ecosystems. Accurate prediction of extreme MHWs has significant scientific and financial worth. However, existing methods…

Atmospheric and Oceanic Physics · Physics 2024-12-23 Ruiqi Shu , Hao Wu , Yuan Gao , Fanghua Xu , Ruijian Gou , Xiaomeng Huang

Marine heatwaves (MHWs), an extreme climate phenomenon, pose significant challenges to marine ecosystems and industries, with their frequency and intensity increasing due to climate change. This study introduces an integrated deep learning…

Atmospheric and Oceanic Physics · Physics 2024-12-09 Ding Ning , Varvara Vetrova , Yun Sing Koh , Karin R. Bryan

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…

We develop a thermodynamic framework for modeling innovation adoption and abandonment dynamics using statistical mechanics. Starting from a mathematical model for an adoption distribution that fits empirically obtained date, we construct a…

Physics and Society · Physics 2026-04-21 Guilherme S. Y. Giardini , Carlo R. daCunha

Supply and demand in future energy systems depend on the weather. We therefore need to quantify how climate change and variability impact energy systems. Here, we present Climate2Energy (C2E), a framework to consistently convert climate…

Accurate and robust weather forecasting remains a fundamental challenge due to the inherent spatio-temporal complexity of atmospheric systems. In this paper, we propose a novel self-supervised learning framework that leverages…

Machine Learning · Computer Science 2025-11-04 Yao Liu

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

Applications · Statistics 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato

The coarse spatial resolution of gridded climate models, such as general circulation models, limits their direct use in projecting socially relevant variables like extreme precipitation. Most downscaling methods estimate the conditional…

Atmospheric and Oceanic Physics · Physics 2026-01-06 Louise Largeau , Tom Beucler , David Leutwyler , Gregoire Mariethoz , Valerie Chavez-Demoulin , Erwan Koch

A new approach for evaluating time-trends in extreme values accounting also for spatial dependence is proposed. Based on exceedances over a space-time threshold, estimators for a trend function and for extreme value parameters are given,…

Methodology · Statistics 2017-07-17 Ana Ferreira , Petra Friederichs , Laurens de Haan , Cláudia Neves , Martin Schlather

Understanding and mapping extreme heat is critical for risk management and public health planning, particularly in regions with complex terrain and heterogeneous climate. We present a case study of extreme heat in the Four Corners region of…

Applications · Statistics 2026-04-22 Ben Seiyon Lee , Reetam Majumder , Jordan Richards , Emma S. Simpson , Likun Zhang

Elucidating the statistical properties of extreme meteo-climatic events and capturing the physical processes responsible for their occurrence are key steps for improving our understanding of climate variability and climate change and for…

Atmospheric and Oceanic Physics · Physics 2023-01-18 Valerio Lucarini , Vera Melinda Galfi , Gabriele Messori , Jacopo Riboldi

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

Modelling dependencies between climate extremes is important for climate risk assessment, for instance when allocating emergency management funds. In statistics, multivariate extreme value theory is often used to model spatial extremes.…

The climate change attribution problem is addressed using empirical decomposition. Cycles in solar motion and activity of 60 and 20 years were used to develop an empirical model of Earth temperature variations. The model was fit to the…

Geophysics · Physics 2012-06-27 Craig Loehle , Nicola Scafetta

The frequency and magnitude of weather extreme events have increased significantly during the past few years in response to anthropogenic climate change. However, global statistical characteristics and underlying physical mechanisms are…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Qing Yao , Jingfang Fan , Jun Meng , Valerio Lucarini , Henrik Jeldtoft Jensen , Kim Christensen , Xiaosong Chen