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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Online Access: | https://dx.doi.org/10.48550/arxiv.1105.3118 https://arxiv.org/abs/1105.3118 |
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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) |
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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 |
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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 |