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Predicting future probable values of model parameters, is an essential pre-requisite for assessing model decision reliability in an uncertain environment. Scenario Analysis is a methodology for modelling uncertainty in water resources…

Methodology · Statistics 2013-04-17 Seyed Hamed Alemohammad , Reza Ardakanian , Akbar Karimi

We present a new approach to modeling the future development of extreme temperatures globally and on a long time-scale by using non-stationary generalized extreme value distributions in combination with logistic functions. This approach is…

Atmospheric and Oceanic Physics · Physics 2022-07-28 Justus Contzen , Thorsten Dickhaus , Gerrit Lohmann

Coastal flooding poses increasing threats to communities worldwide, necessitating accurate and hyper-local inundation forecasting for effective emergency response. However, real-world deployment of forecasting systems is often constrained…

Drought is a complex stochastic natural hazard caused by prolonged shortage of rainfall. Several environmental factors are involved in determining drought classes at the specific monitoring station. Therefore, efficient sequence processing…

Spatio-temporal data abounds in domain like traffic and environmental monitoring. However, it often suffers from missing values due to sensor malfunctions, transmission failures, etc. Recent years have seen continued efforts to improve…

Machine Learning · Computer Science 2025-09-24 Yubo Yang , Yichen Zhu , Bo Jiang

Distributed models to forecast the spatial and temporal occurrence of rainfall-induced shallow landslides are based on deterministic laws. These models extend spatially the static stability models adopted in geotechnical engineering, and…

Geophysics · Physics 2014-03-17 S. Raia , M. Alvioli , M. Rossi , R. L. Baum , J. W. Godt , F. Guzzetti

Two new indicators of rainfall seasonality based on information entropy, the relative entropy (RE) and the dimensionless seasonality index (DSI), together with the mean annual rainfall, are evaluated on a global scale for recently updated…

Atmospheric and Oceanic Physics · Physics 2014-09-02 Salvatore Pascale , Valerio Lucarini , Xue Feng , Amilcare Porporato , Shabeh ul Hasson

Accurate prediction of electric load is crucial in power grid planning and management. In this paper, we solve the electric load forecasting problem under extreme events such as scorching heats. One challenge for accurate forecasting is the…

Machine Learning · Computer Science 2023-06-16 Hengbo Liu , Ziqing Ma , Linxiao Yang , Tian Zhou , Rui Xia , Yi Wang , Qingsong Wen , Liang Sun

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

Machine Learning · Statistics 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

Machine Learning · Computer Science 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

Rainfall exhibits extreme variability at many space and time scales and calls for a statistical description. Based on an analysis of radar measurements of precipitation over the tropical oceans, we introduce a new probability law for the…

Atmospheric and Oceanic Physics · Physics 2015-09-30 Prasun K. Kundu , Ravi K. Siddani

Global climate models aim to reproduce physical processes on a global scale and predict quantities such as temperature given some forcing inputs. We consider climate ensembles made of collections of such runs with different initial…

Applications · Statistics 2013-12-02 Stefano Castruccio , Michael L. Stein

Rainfall is an important component of the climate system and its statistical properties are vital for prediction purposes. In this study, we have developed a statistical method for constructing the distribution of annual precipitation. The…

Atmospheric and Oceanic Physics · Physics 2024-05-24 Yosef Ashkenazy , Naftali R. Smith

Monitoring daily weather fields is critical for climate science, agriculture, and environmental planning, yet fully probabilistic spatio-temporal models become computationally prohibitive at continental scale. We present a case study on…

Applications · Statistics 2026-02-12 Tim Gyger , Reinhard Furrer , Fabio Sigrist

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

Methodology · Statistics 2019-10-02 Behnaz Pirzamanbein

The conditional extremes framework allows for event-based stochastic modeling of dependent extremes, and has recently been extended to spatial and spatio-temporal settings. After standardizing the marginal distributions and applying an…

Methodology · Statistics 2024-03-26 Emma S. Simpson , Thomas Opitz , Jennifer L. Wadsworth

In this article, it is described how to use statistical data analysis to obtain models directly from data. The focus is put on finding nonlinearities within a generalized additive model. These models are found by the means of backfitting…

Pattern Formation and Solitons · Physics 2007-05-23 M. Abel

Incomplete satellite-based precipitation presents a significant challenge in global monitoring. For example, the Global Satellite Mapping of Precipitation (GSMaP) from JAXA suffers from substantial missing regions due to the orbital…

Machine Learning · Computer Science 2025-07-29 Daiko Kishikawa , Yuka Muto , Shunji Kotsuki

A particular sequence of patterns, "$\text{gaps} \to \text{labyrinth} \to \text{spots}$," occurs with decreasing precipitation in previously reported numerical simulations of PDE dryland vegetation models. These observations have led to the…

Pattern Formation and Solitons · Physics 2016-03-31 Karna Gowda , Yuxin Chen , Sarah Iams , Mary Silber

Probabilistic forecasting is crucial for real-world spatiotemporal systems, such as climate, energy, and urban environments, where quantifying uncertainty is essential for informed, risk-aware decision-making. While diffusion models have…

Machine Learning · Computer Science 2025-09-30 Zhi Sheng , Yuan Yuan , Yudi Zhang , Jingtao Ding , Yong Li
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