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In this study, we begin a comprehensive characterisation of temperature extremes in Ireland for the period 1981-2010. We produce return levels of anomalies of daily maximum temperature extremes for an area over Ireland, for the 30-year…

Applications · Statistics 2019-06-18 John O'Sullivan , Conor Sweeney , Andrew C. Parnell

Climate change is increasing the occurrence of extreme precipitation events, threatening infrastructure, agriculture, and public safety. Ensemble prediction systems provide probabilistic forecasts but exhibit biases and difficulties in…

Machine Learning · Computer Science 2025-04-09 Christopher Bülte , Sohir Maskey , Philipp Scholl , Jonas von Berg , Gitta Kutyniok

The ALMA observatory is now putting more focus on high-frequency observations (frequencies from 275-950 GHz). However, high-frequency observations often suffer from rapid variations in atmospheric opacity that directly affect the system…

Instrumentation and Methods for Astrophysics · Physics 2022-12-28 Hao He , William R. F. Dent , Christine Wilson

We write a nonlinear model that predicts the climate (temperature and humidity) on the surface of a small region on Earth, perform numerical investigations using the model, and compare the results to real climate on a variety of regions on…

Atmospheric and Oceanic Physics · Physics 2020-01-24 Gabriele Di Bona , Andrea Giacobbe

4D-variational data assimilation is applied to the Lorenz '63 model to introduce a new method for parameter estimation in chaotic climate models. The approach aims to optimise an Earth system model (ESM), for which no adjoint exists, by…

Atmospheric and Oceanic Physics · Physics 2025-04-18 Philip David Kennedy , Abhirup Banerjee , Armin Köhl , Detlef Stammer

In this work, we propose a simulation-based estimation approach using generative neural networks to determine dependencies of precipitation maxima and their underlying uncertainty in time and space. Within the common framework of max-stable…

Machine Learning · Statistics 2026-05-01 Christopher Bülte , Lisa Leimenstoll , Melanie Schienle

Forecasting extreme precipitation is essential yet challenging due to its rarity and complexity. We develop a large deviation framework to estimate the return times of extreme precipitation events. We first find that the Landau…

Statistical Mechanics · Physics 2026-04-14 Haotian Xie , Haoxian Liu , Jingfang Fan , Ying Tang

Atmospheric composition measurements taken at many high-altitude stations around the world, aim to collect data representative of the free troposphere and of an intercontinental scale. However, the high-altitude environment favours vertical…

We present a novel statistical treatment, the "metastatistics of extreme events", for calculating the frequency of extreme events. This approach, which is of general validity, is the proper statistical framework to address the problem of…

Applications · Statistics 2012-11-14 Massimiliano Ignaccolo , Marco Marani

This paper presents a statistical analysis of structural changes in the Central England temperature series, one of the longest surface temperature records available. A changepoint analysis is performed to detect abrupt changes, which can be…

Applications · Statistics 2022-10-19 Xueheng Shi , Claudie Beaulieu , Rebecca Killick , Robert Lund

The rise of accurate machine learning methods for weather forecasting is creating radical new possibilities for modeling the atmosphere. In the time of climate change, having access to high-resolution forecasts from models like these is…

Machine Learning · Computer Science 2023-11-16 Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

Modeling extremes of climate variables in the framework of climate change is a particularly difficult task, since it implies taking into account spatio-temporal nonstationarities. In this paper, we propose a new method for estimating…

Methodology · Statistics 2021-05-13 Béwentaoré Sawadogo , Diakarya Barro

Statistical physics and dynamical systems theory are key tools to study high-impact geophysical events such as temperature extremes, cyclones, thunderstorms, geomagnetic storms and many more. Despite the intrinsic differences between these…

There is an ongoing debate in the literature about whether the present global warming is increasing local and global temperature variability. The central methodological issues of this debate relate to the proper treatment of normalised…

Fluid Dynamics · Physics 2017-02-24 Miklos Vincze , Ion Borcia , Uwe Harlander

The occurrence of extreme events like heavy precipitation or storms at a certain location often shows a clustering behaviour and is thus not described well by a Poisson process. We construct a general model for the inter-exceedance times in…

Methodology · Statistics 2025-09-16 Christina Mathieu , Katharina Hees , Roland Fried

Intense precipitation events are commonly known to be associated with an increased risk of flooding. As a result of the societal and infrastructural risks linked with flooding, extremes of precipitation require careful modelling. Extreme…

Applications · Statistics 2017-10-06 Paul Sharkey , Hugo C. Winter

Mesoscale eddies remain poorly represented in most climate models, motivating the use of parameterizations to account for their dynamical effects on the coupled system. In this study, we implement a data-driven eddy parameterization based…

Atmospheric and Oceanic Physics · Physics 2026-03-30 Jia-Rui Shi , Pavel Perezhogin , Laure Zanna , Alistair Adcroft

We propose a new statistical reduced complexity climate model. The centerpiece of the model consists of a set of physical equations for the global climate system which we show how to cast in non-linear state space form. The parameters in…

Applications · Statistics 2024-07-08 Mikkel Bennedsen , Eric Hillebrand , Siem Jan Koopman

We analyse extreme daily minimum temperatures in winter months over the island of Ireland from 1950-2022. We model the marginal distributions of extreme winter minima using a generalised Pareto distribution (GPD), capturing temporal and…

Atmospheric and Oceanic Physics · Physics 2026-01-07 Dáire Healy , Jonathan A. Tawn , Peter Thorne , Andrew Parnell
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