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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

The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This article reviews recent…

Methodology · Statistics 2012-08-17 A. C. Davison , S. A. Padoan , M. Ribatet

Heat waves resulting from prolonged extreme temperatures pose a significant risk to human health globally. Given the limitations of observations of extreme temperature, climate models are often used to characterize extreme temperature…

Methodology · Statistics 2020-05-08 Mark Risser

We analyze the occurrence and the values of record-breaking temperatures in daily and monthly temperature observations. Our aim is to better understand and quantify the statistics of temperature records in the context of global warming.…

Atmospheric and Oceanic Physics · Physics 2013-03-20 Gregor Wergen , Andreas Hense , Joachim Krug

Spatiotemporal variations in thunderstorm occurrence frequency are considered here using an environmental dataset derived from ERA5 reanalysis data. Interannual variability in the thunderstorm environments is examined for the period…

Atmospheric and Oceanic Physics · Physics 2025-12-17 Andrew Dowdy , Andrew Brown , Todd Lane , Mateusz Taszarek

In this chapter, we show how to efficiently model high-dimensional extreme peaks-over-threshold events over space in complex non-stationary settings, using extended latent Gaussian Models (LGMs), and how to exploit the fitted model in…

Methodology · Statistics 2021-10-07 Arnab Hazra , Raphaël Huser , Árni V. Jóhannesson

Data-driven machine learning models for weather forecasting have made transformational progress in the last 1-2 years, with state-of-the-art ones now outperforming the best physics-based models for a wide range of skill scores. Given the…

The warming trend of the last decades is now so strong that it is discernible in local temperature observations. This opens the possibility to compare the trend to the warming predicted by comprehensive climate models (GCMs), which up to…

Earth System Models (ESMs) are the primary tools for investigating future Earth system states at time scales from decades to centuries, especially in response to anthropogenic greenhouse gas release. State-of-the-art ESMs can reproduce the…

Machine Learning · Computer Science 2023-06-05 Maximilian Gelbrecht , Alistair White , Sebastian Bathiany , Niklas Boers

Both global, intermediate and local scales of Climate Change have been studied extensively, but a unified diagnostic framework for examining all spatial scales concurrently has remained elusive. Here we present a new tool-set using…

Atmospheric and Oceanic Physics · Physics 2022-05-19 Albert Sneppen

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

Spatial maps of extreme precipitation are crucial in flood protection. With the aim of producing maps of precipitation return levels, we propose a novel approach to model a collection of spatially distributed time series where the…

Methodology · Statistics 2023-04-27 Federica Stolf , Antonio Canale

The computational cost of dynamical downscaling limits ensemble sizes in regional downscaling efforts. We present a newly developed generative-AI approach to greatly expand the scope of such downscaling, enabling fine-scale future changes…

Atmospheric and Oceanic Physics · Physics 2025-07-10 Neelesh Rampal , Peter B. Gibson , Steven C. Sherwood , Laura E. Queen , Hamish Lewis , Gab Abramowitz

With the global population on the rise, our cities have been expanding to accommodate the growing number of people. The expansion of cities generally leads to the engulfment of peripheral areas. However, such expansion of urban areas is…

Physics and Society · Physics 2024-01-09 Sudipan Saha , Tushar Verma , Dario Augusto Borges Oliveira

Many environmental processes such as rainfall, wind or snowfall are inherently spatial and the modelling of extremes has to take into account that feature. In addition, environmental processes are often attached with an angle, e.g., wind…

Methodology · Statistics 2024-07-04 Gaspard Tamagny , Mathieu Ribatet

Heat waves are projected to increase in frequency and severity with global warming. Improved warning systems would help reduce the associated loss of lives, wildfires, power disruptions, and reduction in crop yields. In this work, we…

Atmospheric and Oceanic Physics · Physics 2023-01-13 Ignacio Lopez-Gomez , Amy McGovern , Shreya Agrawal , Jason Hickey

The long-term temperature response to a given change in CO2 forcing, or Earth-system sensitivity (ESS), is a key parameter quantifying our understanding about the relationship between changes in Earth's radiative forcing and the resulting…

Geophysics · Physics 2021-03-02 Tony E. Wong , Ying Cui , Dana L. Royer , Klaus Keller

A climate state close to a tipping point will have a degenerate linear response to perturbations, which can be associated with extreme values of the equilibrium climate sensitivity (ECS). In this paper we contrast linearized…

Atmospheric and Oceanic Physics · Physics 2021-01-21 Peter Ashwin , Anna S. von der Heydt

To study trends in extreme precipitation across US over the years 1951-2017, we consider 10 climate indexes that represent extreme precipitation, such as annual maximum of daily precipitation, annual maximum of consecutive 5-day average…

Applications · Statistics 2019-01-01 Arnab Hazra , Brian J. Reich , Ana-Maria Staicu

The rise in global mean temperature is an incomplete description of warming. For many purposes, including agriculture and human life, temperature extremes may be more important than temperature means and changes in local extremes may be…

Atmospheric and Oceanic Physics · Physics 2017-08-03 J. M. Finkel , J. I. Katz
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