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Physics > Atmospheric and Oceanic Physics

arXiv:2509.11975 (physics)
[Submitted on 15 Sep 2025 ]

Title: Probabilistic modelling of atmosphere-surface coupling with a copula Bayesian network

Title: 基于Copula贝叶斯网络的大气-地表耦合概率建模

Authors:Laura Mack, Marvin Kähnert, Norbert Pirk
Abstract: Land-atmosphere coupling is an important process for correctly modelling near-surface temperature profiles, but it involves various uncertainties due to subgrid-scale processes, such as turbulent fluxes or unresolved surface heterogeneities, suggesting a probabilistic modelling approach. We develop a copula Bayesian network (CBN) to interpolate temperature profiles, acting as alternative to T2m-diagnostics used in numerical weather prediction (NWP) systems. The new CBN results in (1) a reduction of the warm bias inherent to NWP predictions of wintertime stable boundary layers allowing cold temperature extremes to be better represented, and (2) consideration of uncertainty associated with subgrid-scale spatial variability. The use of CBNs combines the advantages of uncertainty propagation inherent to Bayesian networks with the ability to model complex dependence structures between random variables through copulas. By combining insights from copula modelling and information entropy, criteria for the applicability of CBNs in the further development of parameterizations in NWP models are derived.
Abstract: 陆气耦合是正确模拟近地层温度廓线的重要过程,但由于亚网格尺度过程(如湍流通量或未解析的地表异质性)的存在,涉及各种不确定性,这表明需要采用概率建模方法。 我们开发了一种极值贝叶斯网络(CBN),用于插值温度廓线,作为数值天气预报(NWP)系统中T2m诊断的替代方法。 新的CBN结果包括(1)减少NWP对冬季稳定边界层预测中的暖偏差,使冷温度极端情况得到更好的表示,以及(2)考虑与亚网格尺度空间变异性相关的不确定性。 使用CBN结合了贝叶斯网络固有的不确定性传播优势以及通过copula模型复杂随机变量依赖结构的能力。 通过结合copula建模和信息熵的见解,推导出CBN在NWP模型参数化进一步发展中的适用性标准。
Subjects: Atmospheric and Oceanic Physics (physics.ao-ph) ; Applications (stat.AP)
Cite as: arXiv:2509.11975 [physics.ao-ph]
  (or arXiv:2509.11975v1 [physics.ao-ph] for this version)
  https://doi.org/10.48550/arXiv.2509.11975
arXiv-issued DOI via DataCite

Submission history

From: Laura Mack [view email]
[v1] Mon, 15 Sep 2025 14:23:55 UTC (6,651 KB)
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