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| Titel |
Limits and characteristics of the multifractal behaviour of a high-resolution rainfall time series |
| VerfasserIn |
J. Olsson |
| 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 ; 2, no. 1 ; Nr. 2, no. 1, S.23-29 |
| Datensatznummer |
250000363
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| Publikation (Nr.) |
 copernicus.org/npg-2-23-1995.pdf |
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| Zusammenfassung |
| The multifractal properties of a 2-year time series of 8-min
rainfall intensity observations are investigated. The empirical probability distribution
function suggests a hyperbolic intermittency with divergence of moment of order greater
than 2. The power spectrum E(f) of the series obeys a power law form E(f)=f
-0.66 in the range of scales 8 min to approximately 3 days. The variation of the average statistical
moments with scale shows that the series is characterized by a multifractal
behaviour between 8 min and approximately 11 days. The multifractal parameters associated with
universality were estimated to be α=0.63 and C1=0,44 by using the Double Trace Moment,
DTM, technique. The moment scaling functions obtained from the empirical values and the
universal expression are in good agreement in the approximate range 1≤q≤3. Outside of this range, however, differences exist which may be
related to either limitations of the data or an inexact estimation of the parameters by
DTM. The evident multifractal nature of rainfall
time series is encouraging since it may lead to new and improved ways of processing rainfall data used in hydrological calculations. |
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