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We develop a flexible spline-based Bayesian hidden Markov model stochastic weather generator to statistically model daily precipitation over time by season at individual locations. The model naturally accounts for missing data (considered…

Applications · Statistics 2022-07-19 Christopher J. Paciorek

Stochastic weather generators (SWGs) are digital twins of complex weather processes and widely used in agriculture and urban design. Due to improved measuring instruments, an accurate SWG for high-frequency precipitation is now possible.…

Applications · Statistics 2020-03-12 Yuxiao Li , Ying Sun

Tropical cyclones are important drivers of coastal flooding which have severe negative public safety and economic consequences. Due to the rare occurrence of such events, high spatial and temporal resolution historical storm precipitation…

Applications · Statistics 2020-11-20 William Kleiber , Stephan Sain , Luke Madaus , Patrick Harr

Efficient and effective modeling of complex systems, incorporating cloud physics and precipitation, is essential for accurate climate modeling and forecasting. However, simulating these systems is computationally demanding since…

Fluid Dynamics · Physics 2024-07-31 Nan Chen , Changhong Mou , Leslie M. Smith , Yeyu Zhang

Short-range forecasts of precipitation fields are needed in a wealth of agricultural, hydrological, ecological and other applications. Forecasts from numerical weather prediction models are often biased and do not provide uncertainty…

Applications · Statistics 2009-01-23 Veronica J. Berrocal , Adrian E. Raftery , Tilmann Gneiting

This paper presents a novel methodology for modelling precipitation patterns in a specific geographical region using Hidden Markov Models (HMMs). Departing from conventional HMMs, where the hidden state process is assumed to be Markovian,…

Methodology · Statistics 2025-08-05 M. L. Gamiz , D. Montoro , M. C Segovia-Garcia

Improving the representation of precipitation in Earth system models (ESMs) is critical for assessing the impacts of climate change and especially of extreme events like floods and droughts. In existing ESMs, precipitation is not resolved…

Machine Learning · Computer Science 2026-05-27 Michael Aich , Sebastian Bathiany , Philipp Hess , Yu Huang , Niklas Boers

High-resolution flood probability maps are instrumental for assessing flood risk but are often limited by the availability of historical data. Additionally, producing simulated data needed for creating probabilistic flood maps using…

Machine Learning · Computer Science 2025-03-19 Lipai Huang , Federico Antolini , Ali Mostafavi , Russell Blessing , Matthew Garcia , Samuel D. Brody

In order to reach the supply/demand balance, electricity providers need to predict the demand and production of electricity at different time scales. This implies the need of modeling weather variables such as temperature, wind speed, solar…

Applications · Statistics 2017-10-24 Augustin Touron

This study presents a novel generative modeling approach to rainfall-runoff modeling, focusing on the synthesis of realistic daily catchment runoff time series in response to catchment-averaged climate forcing. Unlike traditional…

Geophysics · Physics 2024-09-11 Yang Yang , Ting Fong May Chui

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

For hydrological applications, such as urban flood modelling, it is often important to be able to simulate sub-daily rainfall time series from stochastic models. However, modelling rainfall at this resolution poses several challenges,…

Applications · Statistics 2020-07-14 Oliver Stoner , Theo Economou

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

Wind has the potential to make a significant contribution to future energy resources. Locating the sources of this renewable energy on a global scale is however extremely challenging, given the difficulty to store very large data sets…

Applications · Statistics 2017-10-03 Jaehong Jeong , Stefano Castruccio , Paola Crippa , Marc G. Genton

Aiming to generate realistic synthetic times series of the bivariate process of daily mean temperature and precipitations, we introduce a non-homogeneous hidden Markov model. The non-homogeneity lies in periodic transition probabilities…

Applications · Statistics 2018-10-29 Augustin Touron , Thi Thu Huong Hoang , Sylvie Parey

We propose a computationally efficient statistical method to obtain distributional properties of annual maximum 24 hour precipitation on a 1 km by 1 km regular grid over Iceland. A latent Gaussian model is built which takes into account…

Methodology · Statistics 2015-06-23 Óli Páll Geirsson , Birgir Hrafnkelsson , Daniel Simpson

Stochastic generators are useful for estimating climate impacts on various sectors. Projecting climate risk in various sectors, e.g. energy systems, requires generators that are accurate (statistical resemblance to ground-truth), reliable…

Machine Learning · Computer Science 2024-10-22 Emmanuel Balogun , Ram Rajagopal , Arun Majumdar

We propose a Bayesian hierarchical model for spatial extremes on a large domain. In the data layer a Gaussian elliptical copula having generalized extreme value (GEV) marginals is applied. Spatial dependence in the GEV parameters are…

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

Highly resoluted and accurate daily precipitation data are required for impact models to perform adequately and to correctly measure high-risk events' impact. In order to produce such data, bias-correction is often needed. Most of those…

Applications · Statistics 2025-04-01 Ear Philippe , Di Bernardino Elena , Laloë Thomas , Troin Magali , Lambert Adrien
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