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In a low-order model of the general circulation of the atmosphere we examine the predictability of threshold exceedance events of certain observables. The likelihood of such binary events -- the cornerstone also for the categoric (as…

Chaotic Dynamics · Physics 2015-10-28 Tamas Bodai

The degree of predictability of large avalanche events in the directed sandpile model is studied. A waiting time based prediction strategy which exploits the local anticorrelation of large events is discussed. With this strategy we show…

Statistical Mechanics · Physics 2025-08-05 Dhruv Shah

High-resolution rainfall observations are crucial for weather forecasting, water management, and hazard mitigation. Traditional operational measurements are often biased and low-resolution, limiting their ability to capture local rainfall.…

Machine Learning · Computer Science 2026-05-08 Rafael Pablos Sarabia , Joachim Nyborg , Morten Birk , Ira Assent

Gridded estimated rainfall intensity values at very high spatial and temporal resolution levels are needed as main inputs for weather prediction models to obtain accurate precipitation forecasts, and to verify the performance of…

Applications · Statistics 2009-01-23 Montserrat Fuentes , Brian Reich , Gyuwon Lee

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

Recently, many deep-learning techniques have been applied to various weather-related prediction tasks, including precipitation nowcasting (i.e., predicting precipitation levels and locations in the near future). Most existing…

Atmospheric and Oceanic Physics · Physics 2022-10-25 Jihoon Ko , Kyuhan Lee , Hyunjin Hwang , Kijung Shin

Many natural phenomena exhibit power law behaviour in the distribution of event size. This scaling is successfully reproduced by Self Organized Criticality (SOC). On the other hand, temporal occurrence in SOC models has a Poisson-like…

Statistical Mechanics · Physics 2009-11-11 Eugenio Lippiello , Lucilla de Arcangelis , Cataldo Godano

Dynamical downscaling with high-resolution regional climate models may offer the possibility of realistically reproducing precipitation and weather events in climate simulations. As resolutions fall to order kilometers, the use of explicit…

Applications · Statistics 2018-08-01 Won Chang , Jiali Wang , Julian Marohnic , Rao Kotamarthi , Elisabeth J. Moyer

Modeling precipitation and its accumulation over time and space is essential for flood risk assessment. In this paper, we analyze rainfall data collected over several years through a micro-scale precipitation sensor network in Montpellier,…

Applications · Statistics 2026-04-23 Chloé Serre-Combe , Nicolas Meyer , Thomas Opitz , Gwladys Toulemonde

Modeling a precipitation field is challenging due to its intermittent and highly scale-dependent nature. Motivated by the features of high-frequency precipitation data from a network of rain gauges, we propose a threshold space-time $t$…

Applications · Statistics 2016-02-10 Ying Sun , Michael L. Stein

A new model validation and performance assessment tool is introduced, the sliding threshold of observation for numeric evaluation (STONE) curve. It is based on the relative operating characteristic (ROC) curve technique, but instead of…

Space Physics · Physics 2023-07-17 Michael W. Liemohn , Abigail R. Azari , Natalia Ganushkina , Lutz Rastaetter

We study extreme events of avalanche activities in finite-size two-dimensional self-organized critical (SOC) models, specifically the stochastic Manna model (SMM) and the Bak-Tang-Weisenfeld (BTW) sandpile model. Employing the approach of…

Statistical Mechanics · Physics 2026-05-18 Abdul Quadir , Haider Hasan Jafri

Understanding the temporal dependence of precipitation is key to improving weather predictability and developing efficient stochastic rainfall models. We introduce an information-theoretic approach to quantify memory effects in discrete…

Data Analysis, Statistics and Probability · Physics 2026-03-16 Juan De Gregorio , David Sánchez , Raúl Toral

It is a common belief that power-law distributed avalanches are inherently unpredictable. This idea affects phenomena as diverse as evolution, earthquakes, superconducting vortices, stock markets, etc; from atomic to social scales. It…

Disordered Systems and Neural Networks · Physics 2009-11-13 O. Ramos , E. Altshuler , K. J. Maloy

Modeling the risk of extreme weather events in a changing climate is essential for developing effective adaptation and mitigation strategies. Although the available low-resolution climate models capture different scenarios, accurate risk…

Atmospheric and Oceanic Physics · Physics 2022-12-06 Anamitra Saha , Sai Ravela

This study investigates how conditional normalizing flows can be applied to remote sensing data products in climate science for spatio-temporal prediction. The method is chosen due to its desired properties such as exact likelihood…

Machine Learning · Computer Science 2024-06-03 Christina Winkler , David Rolnick

We consider a stochastic sandpile where the sand-grains of unstable sites are randomly distributed to the nearest neighbors. Increasing the value of the threshold condition the stochastic character of the distribution is lost and a…

Statistical Mechanics · Physics 2009-10-31 S. Lubeck

We have studied one-dimensional cellular automata with updating rules depending stochastically on the difference of the heights of neighbouring cells. The probability for toppling depends on a parameter lambda which goes to one with…

Statistical Mechanics · Physics 2007-05-23 S. Lubeck , K. D. Usadel

Extreme events can come either from point processes, when the size or energy of the events is above a certain threshold, or from time series, when the intensity of a signal surpasses a threshold value. We are particularly concerned by the…

Statistical Mechanics · Physics 2017-07-26 Alvaro Corral

Precipitation from tropical cyclones (TCs) can cause disasters such as flooding, mudslides, and landslides. Predicting such precipitation in advance is crucial, giving people time to prepare and defend against these precipitation-induced…

Machine Learning · Computer Science 2025-05-20 Cheng Huang , Pan Mu , Cong Bai , Peter AG Watson
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