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Isotropic covariance structures can be unreasonable for phenomena in three-dimensional spaces such as the ocean. In the ocean, the variability of the response may vary with depth, and ocean currents may lead to spatially varying anisotropy.…

统计方法学 · 统计学 2023-01-13 Martin Outzen Berild , Geir-Arne Fuglstad

Increasingly larger data sets of processes in space and time ask for statistical models and methods that can cope with such data. We show that the solution of a stochastic advection-diffusion partial differential equation provides a…

统计方法学 · 统计学 2016-02-18 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel

We propose an extension of the non-homogeneous Gaussian regression (NGR) model by Gneiting et al. (2005) that yields locally calibrated probabilistic forecasts of tem- perature, based on the output of an ensemble prediction system (EPS).…

应用统计 · 统计学 2014-04-29 Michael Scheuerer , Luca Büermann

Precipitation is a large-scale, spatio-temporally heterogeneous phenomenon, with frequent anomalies exhibiting unusually high or low values. We use Markov Random Fields (MRFs) to detect spatio-temporally coherent anomalies in gridded annual…

应用统计 · 统计学 2017-11-01 Adway Mitra , Ashwin K. Seshadri

We propose computationally efficient methods for estimating stationary multivariate spatial and spatial-temporal spectra from incomplete gridded data. The methods are iterative and rely on successive imputation of data and updating of model…

统计方法学 · 统计学 2018-11-06 Joseph Guinness

Although most models for rainfall extremes focus on point-wise values, it is aggregated precipitation over areas up to river catchment scale that is of the most interest. To capture the joint behaviour of precipitation aggregates evaluated…

应用统计 · 统计学 2023-01-03 Jordan Richards , Jonathan A. Tawn , Simon Brown

Understanding and forecasting precipitation events in the Arctic maritime environments, such as Bear Island and Ny-{\AA}lesund, is crucial for assessing climate risk and developing early warning systems in vulnerable marine regions. This…

To obtain a probabilistic model for a dependent variable based on some set of explanatory variables, a distributional approach is often adopted where the parameters of the distribution are linked to regressors. In many classical models this…

统计方法学 · 统计学 2020-01-14 Lisa Schlosser , Torsten Hothorn , Reto Stauffer , Achim Zeileis

Seasonal weather forecasts are crucial for long-term planning in many practical situations and skillful forecasts may have substantial economic and humanitarian implications. Current seasonal forecasting models require statistical…

统计方法学 · 统计学 2019-11-11 Claudio Heinrich , Kristoffer H. Hellton , Alex Lenkoski , Thordis L. Thorarinsdottir

Ensemble weather forecasts based on multiple runs of numerical weather prediction models typically show systematic errors and require post-processing to obtain reliable forecasts. Accurately modeling multivariate dependencies is crucial in…

大气与海洋物理 · 物理学 2024-02-02 Jieyu Chen , Tim Janke , Florian Steinke , Sebastian Lerch

This paper describes how to analyze the influence of Earth system variables on the errors when providing temperature forecasts. The initial framework to get the data has been based on previous research work, which resulted in a very…

机器学习 · 计算机科学 2024-03-14 M. Julia Flores , Melissa Ruiz-Vásquez , Ana Bastos , René Orth

The integration of physical relationships into stochastic models is of major interest e.g. in data assimilation. Here, a multivariate Gaussian random field formulation is introduced, which represents the differential relations of the…

应用统计 · 统计学 2018-02-14 Rüdiger Hewer , Petra Friederichs , Andreas Hense , Martin Schlather

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…

应用统计 · 统计学 2026-02-12 Tim Gyger , Reinhard Furrer , Fabio Sigrist

Extreme environmental events frequently exhibit spatial and temporal dependence. These data are often modeled using max stable processes (MSPs). MSPs are computationally prohibitive to fit for as few as a dozen observations, with supposed…

统计方法学 · 统计学 2022-05-02 Emily C. Hector , Brian J. Reich

Public health data are often spatially dependent, but standard spatial regression methods can suffer from bias and invalid inference when the independent variable is associated with spatially-correlated residuals. This could occur if, for…

统计方法学 · 统计学 2025-04-10 Nate Wiecha , Jane A. Hoppin , Brian J. Reich

Atmospheric trace-gas inversion refers to any technique used to predict spatial and temporal fluxes using mole-fraction measurements and atmospheric simulations obtained from computer models. Studies to date are most often of a…

Knowing the actual precipitation in space and time is critical in hydrological modelling applications, yet the spatial coverage with rain gauge stations is limited due to economic constraints. Gridded satellite precipitation datasets offer…

信号处理 · 电气工程与系统科学 2023-08-04 Hristos Tyralis , Georgia Papacharalampous , Nikolaos Doulamis , Anastasios Doulamis

Long simulation times in climate sciences typically require coarse grids due to computational constraints. Nonetheless, unresolved subscale information significantly influences the prognostic variables and can not be neglected for reliable…

数值分析 · 数学 2018-02-22 Konrad Simon , Jörn Behrens

We propose a statistical space-time model for predicting atmospheric wind speed based on deterministic numerical weather predictions and historical measurements. We consider a Gaussian multivariate space-time framework that combines…

应用统计 · 统计学 2016-10-21 Julie Bessac , Emil Mihai Constantinescu , Mihai Anitescu

Understanding the spatial extent of extreme precipitation is necessary for determining flood risk and adequately designing infrastructure (e.g., stormwater pipes) to withstand such hazards. While environmental phenomena typically exhibit…

应用统计 · 统计学 2020-03-25 Gregory P. Bopp , Benjamin A. Shaby , Raphaël Huser