A Stochastic Energy Budget Model Using Physically Based Red Noise

A method to describe unresolved processes in meteorological models by physically based stochastic processes (SP) is proposed by the example of an energy budget model (EBM). Contrary to the common approach using additive white noise, a suitable variable within the model is chosen to be represented by...

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Bibliographic Details
Main Authors: Weniger, Michael, Bovier, Anton, Hense, Andreas
Format: Report
Language:unknown
Published: arXiv 2011
Subjects:
Atmospheric and Oceanic Physics physics.ao-ph
FOS Physical sciences
ice core
Online Access:https://dx.doi.org/10.48550/arxiv.1105.3118
https://arxiv.org/abs/1105.3118
id ftdatacite:10.48550/arxiv.1105.3118
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1105.3118 2023-05-15T16:38:48+02:00 A Stochastic Energy Budget Model Using Physically Based Red Noise Weniger, Michael Bovier, Anton Hense, Andreas 2011 https://dx.doi.org/10.48550/arxiv.1105.3118 https://arxiv.org/abs/1105.3118 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Atmospheric and Oceanic Physics physics.ao-ph FOS Physical sciences Preprint Article article CreativeWork 2011 ftdatacite https://doi.org/10.48550/arxiv.1105.3118 2022-04-01T14:22:36Z A method to describe unresolved processes in meteorological models by physically based stochastic processes (SP) is proposed by the example of an energy budget model (EBM). Contrary to the common approach using additive white noise, a suitable variable within the model is chosen to be represented by a SP. Spectral analysis of ice core time series shows a red noise character of the underlying fluctuations. Fitting Ornstein Uhlenbeck processes to the observed spectrum defines the parameters for the stochastic dynamic model (SDM). Numerical simulations for different sets of ice core data lead to three sets of strongly differing systems. Pathwise, statistical and spectral analysis of these models show the importance of carefully choosing suitable stochastic terms in order to get a physically meaningful SDM. Report ice core DataCite Metadata Store (German National Library of Science and Technology)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Atmospheric and Oceanic Physics physics.ao-ph
FOS Physical sciences
spellingShingle Atmospheric and Oceanic Physics physics.ao-ph
FOS Physical sciences
Weniger, Michael
Bovier, Anton
Hense, Andreas
A Stochastic Energy Budget Model Using Physically Based Red Noise
topic_facet Atmospheric and Oceanic Physics physics.ao-ph
FOS Physical sciences
description A method to describe unresolved processes in meteorological models by physically based stochastic processes (SP) is proposed by the example of an energy budget model (EBM). Contrary to the common approach using additive white noise, a suitable variable within the model is chosen to be represented by a SP. Spectral analysis of ice core time series shows a red noise character of the underlying fluctuations. Fitting Ornstein Uhlenbeck processes to the observed spectrum defines the parameters for the stochastic dynamic model (SDM). Numerical simulations for different sets of ice core data lead to three sets of strongly differing systems. Pathwise, statistical and spectral analysis of these models show the importance of carefully choosing suitable stochastic terms in order to get a physically meaningful SDM.
format Report
author Weniger, Michael
Bovier, Anton
Hense, Andreas
author_facet Weniger, Michael
Bovier, Anton
Hense, Andreas
author_sort Weniger, Michael
title A Stochastic Energy Budget Model Using Physically Based Red Noise
title_short A Stochastic Energy Budget Model Using Physically Based Red Noise
title_full A Stochastic Energy Budget Model Using Physically Based Red Noise
title_fullStr A Stochastic Energy Budget Model Using Physically Based Red Noise
title_full_unstemmed A Stochastic Energy Budget Model Using Physically Based Red Noise
title_sort stochastic energy budget model using physically based red noise
publisher arXiv
publishDate 2011
url https://dx.doi.org/10.48550/arxiv.1105.3118
https://arxiv.org/abs/1105.3118
genre ice core
genre_facet ice core
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1105.3118
_version_ 1766029146876542976

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