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Given multi-model ensemble climate projections, the goal is to accurately and reliably predict future sea-level rise while lowering the uncertainty. This problem is important because sea-level rise affects millions of people in coastal…

Atmospheric and Oceanic Physics · Physics 2023-10-25 Subhankar Ghosh , Shuai An , Arun Sharma , Jayant Gupta , Shashi Shekhar , Aneesh Subramanian

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

Precipitation is a complex physical process that varies in space and time. Predictions and interpolations at unobserved times and/or locations help to solve important problems in many areas. In this paper, we present a hierarchical Bayesian…

Applications · Statistics 2013-01-17 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel

Max-stable processes are natural models for spatial extremes because they provide suitable asymptotic approximations to the distribution of maxima of random fields. In the recent past, several parametric families of stationary max-stable…

Methodology · Statistics 2016-02-22 Raphael Huser , Marc G. Genton

Remote sensing observations are extensively used for analysis of environmental variables. These variables often exhibit spatial correlation, which has to be accounted for in the calibration models used in predictions, either by direct…

Applications · Statistics 2017-02-14 Virpi Junttila , Marko Laine

In practice, wireless networks are deployed over finite domains, the level of mobility is different at different locations, and user mobility is correlated over time. All these features have an impact on the temporal properties of…

Networking and Internet Architecture · Computer Science 2020-09-01 Konstantinos Koufos , Carl P. Dettmann

This paper explores the potential of a hybrid modeling approach that combines machine learning (ML) with conventional physics-based modeling for weather prediction beyond the medium range. It extends the work of Arcomano et al. (2022),…

Atmospheric and Oceanic Physics · Physics 2024-11-28 Dhruvit Patel , Troy Arcomano , Brian Hunt , Istvan Szunyogh , Edward Ott

We will consider multivariate stochastic processes indexed either by vertices or pairs of vertices of a dynamic network. Under a dynamic network we understand a network with a fixed vertex set and an edge set which changes randomly over…

Statistics Theory · Mathematics 2024-07-15 Alexander Kreiss

Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

Applications · Statistics 2014-11-19 Yang Liu , Philip Kokic

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

Methodology · Statistics 2021-11-23 Phillip A. Jang , David S. Matteson

Modelling the extremal dependence structure of spatial data is considerably easier if that structure is stationary. However, for data observed over large or complicated domains, non-stationarity will often prevail. Current methods for…

Methodology · Statistics 2021-03-04 Jordan Richards , Jennifer L. Wadsworth

Spatio-temporal prediction of levels of an environmental exposure is an important problem in environmental epidemiology. Our work is motivated by multiple studies on the spatio-temporal distribution of mobile source, or traffic related,…

Applications · Statistics 2014-11-14 Nikolay Bliznyuk , Christopher J. Paciorek , Joel Schwartz , Brent Coull

Complex network theory provides an elegant and powerful framework to statistically investigate different types of systems such as society, brain or the structure of local and long-range dynamical interrelationships in the climate system.…

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

In a statistical analysis of more than a century of data we find a strong connection between strong warm El Nino winter events and high spring precipitation in a band from Southern England eastwards into Asia. This relationship is an…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Geert Jan van Oldenborgh , Gerrit Burgers , Albert Klein Tank

Energy system models underpin decisions by energy system planners and operators. Energy system modelling faces a transformation: accounting for changing meteorological conditions imposed by climate change. To enable that transformation, a…

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

El Ni\~no-Southern Oscillation (ENSO) is a prominent mode of interannual climate variability with far-reaching global impacts. Its evolution is governed by intricate air-sea interactions, posing significant challenges for long-term…

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

The spatial pattern of sea surface temperature (SST) plays a central role in shaping the climate system, yet the influence of land surface temperature (LST) remains poorly understood. Using a state-of-the-art coupled ocean--land--atmosphere…

Atmospheric and Oceanic Physics · Physics 2026-04-07 Bosong Zhang , Timothy M. Merlis
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