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

Fuente: arXiv
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Main Authors: Mack, Laura, Kähnert, Marvin, Pirk, Norbert
Format: Preprint
Published: 2025
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author Mack, Laura
Kähnert, Marvin
Pirk, Norbert
author_facet Mack, Laura
Kähnert, Marvin
Pirk, Norbert
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_11975
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probabilistic modelling of atmosphere-surface coupling with a copula Bayesian network
Mack, Laura
Kähnert, Marvin
Pirk, Norbert
Atmospheric and Oceanic Physics
Applications
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.
title Probabilistic modelling of atmosphere-surface coupling with a copula Bayesian network
topic Atmospheric and Oceanic Physics
Applications
url https://arxiv.org/abs/2509.11975