Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem
The fluctuation - dissipation theorem (FDT) states that for systems with certain properties it is possible to generate a linear operator that gives the response of the system to weak external forcing simply by using covariances and lag-covariances of fluctuations of the undisturbed system. This pape...
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American Meteorological Society
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ftncar:oai:drupal-site.org:articles_6964 2023-07-30T04:02:01+02:00 Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem Gritsun, Audrey (author) Branstator, Grant (author) 2007-07-01 application/pdf http://nldr.library.ucar.edu/repository/collections/OSGC-000-000-004-306 https://doi.org/10.1175/JAS3943.1 en eng American Meteorological Society Journal of the Atmospheric Sciences http://nldr.library.ucar.edu/repository/collections/OSGC-000-000-004-306 doi:10.1175/JAS3943.1 ark:/85065/d7ks6rtg Copyright 2007 American Meteorological Society (AMS). Permission to use figures, tables, and brief excerpts from this work in scientific and educational works is hereby granted provided that the source is acknowledged. Any use of material in this work that is determined to be "fair use" under Section 107 or that satisfies the conditions specified in Section 108 of the U.S. Copyright Law (17 USC, as revised by P.L. 94-553) does not require the Society's permission. Republication, systematic reproduction, posting in electronic form on servers, or other uses of this material, except as exempted by the above statements, requires written permission or license from the AMS. Additional details are provided in the AMS Copyright Policies, available from the AMS at 617-227-2425 or amspubs@ametsoc.org. Permission to place a copy of this work on this server has been provided by the AMS. The AMS does not guarantee that the copy provided here is an accurate copy of the published work. Intraseasonal variability Climate sensitivity General circulation models Text article 2007 ftncar https://doi.org/10.1175/JAS3943.1 2023-07-17T18:37:06Z The fluctuation - dissipation theorem (FDT) states that for systems with certain properties it is possible to generate a linear operator that gives the response of the system to weak external forcing simply by using covariances and lag-covariances of fluctuations of the undisturbed system. This paper points out that the theorem can be shown to hold for systems with properties very close to the properties of the earth’s atmosphere. As a test of the theorem's applicability to the atmosphere, a three-dimensional operator for steady responses to external forcing is constructed for data from an atmospheric general circulation model (AGCM). The response of this operator is then compared to the response of the AGCM for various heating functions. In most cases, the FDT-based operator gives three-dimensional responses that are very similar in structure and amplitude to the corresponding GCM responses. The operator is also able to give accurate estimates for the inverse problem in which one derives the forcing that will produce a given response in the AGCM. In the few cases where the operator is not accurate, it appears that the fact that the operator was constructed in a reduced space is at least partly responsible. As an example of the potential utility of a response operator with the accuracy found here, the FDT-based operator is applied to a problem that is difficult to solve with an AGCM. It is used to generate an influence function that shows how well heating at each point on the globe excites the AGCM's Northern Hemisphere annular mode (NAM). Most of the regions highlighted by this influence function, including the Arctic and tropical Indian Ocean, are verified by AGCM solutions as being effective locations for stimulating the NAM. Article in Journal/Newspaper Arctic OpenSky (NCAR/UCAR - National Center for Atmospheric Research/University Corporation for Atmospheric Research) Arctic Indian Journal of the Atmospheric Sciences 64 7 2558 2575 |
institution |
Open Polar |
collection |
OpenSky (NCAR/UCAR - National Center for Atmospheric Research/University Corporation for Atmospheric Research) |
op_collection_id |
ftncar |
language |
English |
topic |
Intraseasonal variability Climate sensitivity General circulation models |
spellingShingle |
Intraseasonal variability Climate sensitivity General circulation models Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem |
topic_facet |
Intraseasonal variability Climate sensitivity General circulation models |
description |
The fluctuation - dissipation theorem (FDT) states that for systems with certain properties it is possible to generate a linear operator that gives the response of the system to weak external forcing simply by using covariances and lag-covariances of fluctuations of the undisturbed system. This paper points out that the theorem can be shown to hold for systems with properties very close to the properties of the earth’s atmosphere. As a test of the theorem's applicability to the atmosphere, a three-dimensional operator for steady responses to external forcing is constructed for data from an atmospheric general circulation model (AGCM). The response of this operator is then compared to the response of the AGCM for various heating functions. In most cases, the FDT-based operator gives three-dimensional responses that are very similar in structure and amplitude to the corresponding GCM responses. The operator is also able to give accurate estimates for the inverse problem in which one derives the forcing that will produce a given response in the AGCM. In the few cases where the operator is not accurate, it appears that the fact that the operator was constructed in a reduced space is at least partly responsible. As an example of the potential utility of a response operator with the accuracy found here, the FDT-based operator is applied to a problem that is difficult to solve with an AGCM. It is used to generate an influence function that shows how well heating at each point on the globe excites the AGCM's Northern Hemisphere annular mode (NAM). Most of the regions highlighted by this influence function, including the Arctic and tropical Indian Ocean, are verified by AGCM solutions as being effective locations for stimulating the NAM. |
author2 |
Gritsun, Audrey (author) Branstator, Grant (author) |
format |
Article in Journal/Newspaper |
title |
Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem |
title_short |
Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem |
title_full |
Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem |
title_fullStr |
Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem |
title_full_unstemmed |
Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem |
title_sort |
climate response using a three-dimensional operator based on the fluctuation-dissipation theorem |
publisher |
American Meteorological Society |
publishDate |
2007 |
url |
http://nldr.library.ucar.edu/repository/collections/OSGC-000-000-004-306 https://doi.org/10.1175/JAS3943.1 |
geographic |
Arctic Indian |
geographic_facet |
Arctic Indian |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
Journal of the Atmospheric Sciences http://nldr.library.ucar.edu/repository/collections/OSGC-000-000-004-306 doi:10.1175/JAS3943.1 ark:/85065/d7ks6rtg |
op_rights |
Copyright 2007 American Meteorological Society (AMS). Permission to use figures, tables, and brief excerpts from this work in scientific and educational works is hereby granted provided that the source is acknowledged. Any use of material in this work that is determined to be "fair use" under Section 107 or that satisfies the conditions specified in Section 108 of the U.S. Copyright Law (17 USC, as revised by P.L. 94-553) does not require the Society's permission. Republication, systematic reproduction, posting in electronic form on servers, or other uses of this material, except as exempted by the above statements, requires written permission or license from the AMS. Additional details are provided in the AMS Copyright Policies, available from the AMS at 617-227-2425 or amspubs@ametsoc.org. Permission to place a copy of this work on this server has been provided by the AMS. The AMS does not guarantee that the copy provided here is an accurate copy of the published work. |
op_doi |
https://doi.org/10.1175/JAS3943.1 |
container_title |
Journal of the Atmospheric Sciences |
container_volume |
64 |
container_issue |
7 |
container_start_page |
2558 |
op_container_end_page |
2575 |
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1772812748645728256 |