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In an environmental framework, extreme values of certain spatio-temporal processes, for example wind speeds, are the main cause of severe damage in property, such as electrical networks, transport and agricultural infrastructures.…

Applications · Statistics 2020-09-30 M A Amaral Turkman , K F Turkman , P de Zea Bermudez , S Pereira , P Pereira , M Carvalho

In this work, we consider the spatial-temporal multi-species competition model. A mathematical model is described by a coupled system of nonlinear diffusion-reaction equations. We use a finite volume approximation with semi-implicit time…

Numerical Analysis · Mathematics 2022-09-08 Maria Vasilyeva , Youwen Wang , Sergei Stepanov , Alexey Sadovski

Mixed modeling of extreme values and random effects is relatively unexplored topic. Computational difficulties in using the maximum likelihood method for mixed models and the fact that maximum likelihood method uses available data and does…

Applications · Statistics 2019-07-05 Ali Reza Fotouhi

Recent developments in extreme value statistics have established the so-called geometric approach as a powerful modelling tool for multivariate extremes. We tailor these methods to the case of spatial modelling and examine their efficacy at…

Methodology · Statistics 2026-02-20 Lydia Kakampakou , Jennifer L. Wadsworth

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

Record-breaking temperature events are now frequently in the news, proffered as evidence of climate change, and often bring significant economic and human impacts. Our previous work undertook the first substantial spatial modelling…

The accurate prediction of oceanographic variables is crucial for understanding climate change, managing marine resources, and optimizing maritime activities. Traditional ocean forecasting relies on numerical models; however, these…

Machine Learning · Computer Science 2025-10-30 Víctor Medina , Giovanny A. Cuervo-Londoño , Javier Sánchez

Extreme values of real phenomena are events that occur with low frequency, but can have a large impact on real life. These are, in many practical problems, high-dimensional by nature (e.g. Tawn, 1990; Coles and Tawn, 1991). To study these…

Methodology · Statistics 2015-08-25 Boris Beranger , Simone A. Padoan

Given coarser-resolution projections from global climate models or satellite data, the downscaling problem aims to estimate finer-resolution regional climate data, capturing fine-scale spatial patterns and variability. Downscaling is any…

Signal Processing · Electrical Eng. & Systems 2025-01-28 Subhankar Ghosh , Arun Sharma , Jayant Gupta , Aneesh Subramanian , Shashi Shekhar

In recent years, parametric models for max-stable processes have become a popular choice for modeling spatial extremes because they arise as the asymptotic limit of rescaled maxima of independent and identically distributed random…

Methodology · Statistics 2025-05-14 Carolin Forster , Marco Oesting

We report on a set of laboratory experiments to investigate the effect of Arctic warming on the amplitude and drift speed of the mid-latitude jet stream. Our results show that a progressive decrease of the meridional temperature difference…

Atmospheric and Oceanic Physics · Physics 2021-08-27 Costanza Rodda , Uwe Harlander , Miklos Vincze

This work employs variational techniques to revisit and expand the construction and analysis of extreme value processes. These techniques permit a novel study of spatial statistics of the location of minimizing events. We develop integral…

Probability · Mathematics 2018-08-10 Nicolas Garcia Trillos , Ryan Murray , Daniel Sanz-Alonso

To mitigate the risk posed by extreme rainfall events, we require statistical models that reliably capture extremes in continuous space with dependence. However, assuming a stationary dependence structure in such models is often erroneous,…

Applications · Statistics 2019-07-15 K. R. Saunders , A. G. Stephenson , D. J. Karoly

Extreme value analysis (EVA) uses data to estimate long-term extreme environmental conditions for variables such as significant wave height and period, for the design of marine structures. Together with models for the short-term evolution…

Methodology · Statistics 2024-07-30 Matthew Speers , David Randell , Jonathan Angus Tawn , Philip Jonathan

Spatial-temporal linear model and the corresponding likelihood-based statistical inference are important tools for the analysis of spatial-temporal lattice data. In this paper, we study the asymptotic properties of maximum likelihood…

Statistics Theory · Mathematics 2012-07-27 Xiang Zhang , Yanbing Zheng

In situ and remotely sensed observations have potential to facilitate data-driven predictive models for oceanography. A suite of machine learning models, including regression, decision tree and deep learning approaches were developed to…

Atmospheric and Oceanic Physics · Physics 2020-06-24 Stefan Wolff , Fearghal O'Donncha , Bei Chen

The tidal heating of hypothetical rocky (or terrestrial) extra-solar planets spans a wide range of values depending on stellar masses and initial orbits. Tidal heating may be sufficiently large (in many cases, in excess of radiogenic…

Astrophysics · Physics 2009-11-13 Brian Jackson , Rory Barnes , Richard Greenberg

Spatio-temporal processes in environmental applications are often assumed to follow a Gaussian model, possibly after some transformation. However, heterogeneity in space and time might have a pattern that will not be accommodated by…

Applications · Statistics 2021-10-15 Thaís C. O. da Fonseca , Viviana G. R. Lobo , Alexandra M. Schmidt

We study the spatio-temporal features of extremal sub-daily precipitation data over the Piave river basin in northeast Italy using a rich database of observed hourly rainfall. Empirical evidence suggests that both the marginal and…

Applications · Statistics 2025-11-26 Dáire Healy , Ilaria Prosdocimi , Isadora Antoniano-Villalobos

An exceedance region is the set of locations in a spatial domain where a process exceeds some threshold. Examples of exceedance regions include areas where ozone concentrations exceed safety standards, there is high risk for tornadoes or…

Applications · Statistics 2013-12-02 Joshua P. French , Stephan R. Sain