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| Titel |
Estimation of the local response to a forcing in a high dimensional system using the fluctuation-dissipation theorem |
| VerfasserIn |
F. C. Cooper, J. G. Esler, P. H. Haynes |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 20, no. 2 ; Nr. 20, no. 2 (2013-04-26), S.239-248 |
| Datensatznummer |
250018963
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| Publikation (Nr.) |
 copernicus.org/npg-20-239-2013.pdf |
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| Zusammenfassung |
| The fluctuation-dissipation theorem (FDT) has been proposed as a method of
calculating the response of the earth's atmosphere to a forcing. For this
problem the high dimensionality of the relevant data sets makes truncation
necessary. Here we propose a method of truncation based upon the assumption
that the response to a localised forcing is spatially localised, as an
alternative to the standard method of choosing a number of the leading
empirical orthogonal functions. For systems where this assumption holds, the
response to any sufficiently small non-localised forcing may be estimated
using a set of truncations that are chosen algorithmically. We test our
algorithm using 36 and 72 variable versions of a stochastic Lorenz 95 system
of ordinary differential equations. We find that, for long integrations, the
bias in the response estimated by the FDT is reduced from ~75% of
the true response to ~30%. |
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