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DOI | 10.1175/JAS-D-16-0369.1 |
A Matern-Based Multivariate Gaussian Random Process for a Consistent Model of the Horizontal Wind Components and Related Variables | |
Hewer, Rudiger1; Friederichs, Petra1; Hense, Andreas1; Schlather, Martin2 | |
2017-11-01 | |
发表期刊 | JOURNAL OF THE ATMOSPHERIC SCIENCES
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ISSN | 0022-4928 |
EISSN | 1520-0469 |
出版年 | 2017 |
卷号 | 74期号:11 |
文章类型 | Article |
语种 | 英语 |
国家 | Germany |
英文摘要 | The integration of physical relationships into stochastic models is of major interest, for example, in data assimilation. Here, a multivariate Gaussian random field formulation is introduced that represents the differential relations of the two-dimensional wind field and related variables such as the streamfunction, velocity potential, vorticity, and divergence. The covariance model is based on a flexible bivariate Matern covariance function for the streamfunction and velocity potential. It allows for different variances in the potentials, nonzero correlations between them, anisotropy, and a flexible smoothness parameter. The joint covariance function of the related variables is derived analytically. Further, it is shown that a consistent model with nonzero correlations between the potentials and positive definite covariance function is possible. The statistical model is fitted to forecasts of the horizontal wind fields of a mesoscale numerical weather prediction system. Parameter uncertainty is assessed by a parametric bootstrap method. The estimates reveal only physically negligible correlations between the potentials. |
领域 | 地球科学 |
收录类别 | SCI-E |
WOS记录号 | WOS:000417994800018 |
WOS关键词 | DATA ASSIMILATION ; ERROR COVARIANCE ; INTERPOLATION ; DECOMPOSITION ; DIVERGENCE ; SIMULATION ; PREDICTION ; ACCURACY |
WOS类目 | Meteorology & Atmospheric Sciences |
WOS研究方向 | Meteorology & Atmospheric Sciences |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/29568 |
专题 | 地球科学 |
作者单位 | 1.Univ Bonn, Meteorol Inst, Bonn, Germany; 2.Univ Mannheim, Sch Business Informat & Math, Mannheim, Germany |
推荐引用方式 GB/T 7714 | Hewer, Rudiger,Friederichs, Petra,Hense, Andreas,et al. A Matern-Based Multivariate Gaussian Random Process for a Consistent Model of the Horizontal Wind Components and Related Variables[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2017,74(11). |
APA | Hewer, Rudiger,Friederichs, Petra,Hense, Andreas,&Schlather, Martin.(2017).A Matern-Based Multivariate Gaussian Random Process for a Consistent Model of the Horizontal Wind Components and Related Variables.JOURNAL OF THE ATMOSPHERIC SCIENCES,74(11). |
MLA | Hewer, Rudiger,et al."A Matern-Based Multivariate Gaussian Random Process for a Consistent Model of the Horizontal Wind Components and Related Variables".JOURNAL OF THE ATMOSPHERIC SCIENCES 74.11(2017). |
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