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A non-stationary spatial Gaussian random field (GRF) is described as the solution of an inhomogeneous stochastic partial differential equation (SPDE), where the covariance structure of the GRF is controlled by the coefficients in the SPDE.…

统计方法学 · 统计学 2016-08-11 Geir-Arne Fuglstad , Daniel Simpson , Finn Lindgren , Håvard Rue

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 $t$…

应用统计 · 统计学 2016-02-10 Ying Sun , Michael L. Stein

We construct a Gaussian random field (GRF) that combines fractional smoothness with spatially varying anisotropy. The GRF is defined through a stochastic partial differential equation (SPDE), where the range, marginal variance, and…

统计方法学 · 统计学 2025-12-23 Elling Svee , Geir-Arne Fuglstad

Estimation of stationary dependence structure parameters using only a single realisation of the spatial process, typically leads to inaccurate estimates and poorly identified parameters. A common way to handle this is to fix some of the…

统计方法学 · 统计学 2015-04-24 Rikke Ingebrigtsen , Finn Lindgren , Ingelin Steinsland , Sara Martino

We develop a spatio-temporal model to forecast sensor output at five locations in North East England. The signal is described using coupled dynamic linear models, with spatial effects specified by a Gaussian process. Data streams are…

应用统计 · 统计学 2018-06-15 Yingying Lai , Andrew Golightly , Richard Boys

Obtaining high-resolution maps of precipitation data can provide key insights to stakeholders to assess a sustainable access to water resources at urban scale. Mapping a nonstationary, sparse process such as precipitation at very high…

应用统计 · 统计学 2023-02-08 Jiachen Zhang , Matthew Bonas , Diogo Bolster , Geir-Arne Fuglstad , Stefano Castruccio

In this paper a new approach for constructing \emph{multivariate} Gaussian random fields (GRFs) using systems of stochastic partial differential equations (SPDEs) has been introduced and applied to simulated data and real data. By solving a…

统计方法学 · 统计学 2013-07-08 Xiangping Hu , Daniel Simpson , Finn Lindgren , Håvard Rue

Spatiotemporal simulation of minimum and maximum temperature is a fundamental requirement for climate impact studies and hydrological or agricultural models. Particularly over regions with variable orography, these simulations are difficult…

应用统计 · 统计学 2013-06-03 William Kleiber , Richard W. Katz , Balaji Rajagopalan

Thermal conditions in the urban canopy exhibit stochastic variability driven by varied radiative fluxes and turbulent wind fields, requiring probabilistic rather than deterministic prediction methods. This study presents a probabilistic…

Downscaling aims to link the behaviour of the atmosphere at fine scales to properties measurable at coarser scales, and has the potential to provide high resolution information at a lower computational and storage cost than numerical…

大气与海洋物理 · 物理学 2021-05-19 Rachel Prudden , Niall Robinson , Peter Challenor , Richard Everson

In this study, annual runoff is estimated by using a Bayesian geostatistical model for interpolation of hydrological data of different spatial support. That is, streamflow observations from catchments (areal data), and precipitation and…

应用统计 · 统计学 2021-05-10 Thea Roksvåg , Ingelin Steinsland , Kolbjørn Engeland

Stochastic methods are a crucial area in contemporary climate research and are increasingly being used in comprehensive weather and climate prediction models as well as reduced order climate models. Stochastic methods are used as…

大气与海洋物理 · 物理学 2020-11-16 Christian L. E. Franzke , Terence J. O'Kane , Judith Berner , Paul D. Williams , Valerio Lucarini

Spatial maps of extreme precipitation are a critical component of flood estimation in hydrological modeling, as well as in the planning and design of important infrastructure. This is particularly relevant in countries such as Norway that…

应用统计 · 统计学 2014-05-27 Anita V. Dyrrdal , Alex Lenkoski , Thordis L. Thorarinsdottir , Frode Stordal

Multivariate geostatistics is based on modelling all covariances between all possible combinations of two or more variables at any sets of locations in a continuously indexed domain. Multivariate spatial covariance models need to be built…

统计方法学 · 统计学 2016-10-10 Noel Cressie , Andrew Zammit-Mangion

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…

应用统计 · 统计学 2009-01-23 Montserrat Fuentes , Brian Reich , Gyuwon Lee

Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

应用统计 · 统计学 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

In applications of climate information, coarse-resolution climate projections commonly need to be downscaled to a finer grid. One challenge of this requirement is the modeling of sub-grid variability and the spatial and temporal dependence…

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,…

应用统计 · 统计学 2025-02-05 Yuchen Lu , Ben Seiyon Lee , James Doss-Gollin

Extreme precipitation events with large spatial extents may have more severe impacts than localized events as they can lead to widespread flooding. It is debated how climate change may affect the spatial extent of precipitation extremes,…

统计方法学 · 统计学 2022-12-07 Peng Zhong , Manuela Brunner , Thomas Opitz , Raphaël Huser

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…

应用统计 · 统计学 2009-01-23 Veronica J. Berrocal , Adrian E. Raftery , Tilmann Gneiting
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