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| Titel |
Breakdown coefficients and scaling properties of rain fields |
| VerfasserIn |
D. Harris, M. Menabde, A. Seed, G. Austin |
| 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 ; 5, no. 2 ; Nr. 5, no. 2, S.93-104 |
| Datensatznummer |
250002325
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| Publikation (Nr.) |
 copernicus.org/npg-5-93-1998.pdf |
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| Zusammenfassung |
| The theory of scale similarity and breakdown coefficients is
applied here to intermittent rainfall data consisting of time series and spatial rain
fields. The probability distributions (pdf) of the logarithm of the breakdown coefficients
are the principal descriptor used. Rain fields are distinguished as being either
multiscaling or multiaffine depending on whether the pdfs of breakdown coefficients are
scale similar or scale dependent, respectively. Parameter estimation techniques are
developed which are applicable to both multiscaling and multiaffine fields. The scale
parameter (width), σ, of the pdfs of the log-breakdown coefficients is a
measure of the intermittency of a field. For multiaffine fields, this scale parameter is
found to increase with scale in a power-law fashion consistent with a bounded-cascade
picture of rainfall modelling. The resulting power-law exponent, H, is indicative
of the smoothness of the field. Some details of breakdown coefficient analysis are
addressed and a theoretical link between this analysis and moment scaling analysis is also
presented. Breakdown coefficient properties of cascades are also investigated in the
context of parameter estimation for modelling purposes. |
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