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Titel Rain rate time series as an integrated multiplicative process
VerfasserIn L. de Montera, S. Verrier, L. Barthes, C. Mallet
Konferenz EGU General Assembly 2009
Medientyp Artikel
Sprache Englisch
Digitales Dokument PDF
Erschienen In: GRA - Volume 11 (2009)
Datensatznummer 250025555
 
Zusammenfassung
High resolution rain rate time series derived from disdrometer measurements are analyzed on an event-by-event basis. The rain rate process is found to be an integrated non-stationary cascade (H=0.53 in the framework of Universal Multifractals). This result is in contradiction with the usual modeling of rain rate time series as pure stationary multiplicative cascades (H=0) based on daily or hourly measurements. In order to resolve this apparent difficulty, we show that, at these low resolutions, multifractal analysis techniques are profoundly biased by rain on-off intermittency. Therefore a new model for rain rate time series is proposed. The latter is based on an integrated multiplicative cascade thresholded in order to reproduce rain on-off intermittency. These synthetic time series are able to reproduce correctly the fractal dimension of rain periods, the non-stationarity of rain rate at high resolution and the artificial stationary multiplicative cascade when only low resolutions are considered. Finally, the analysis of non-intermittent radar rain maps leads to the same conclusion in space, although the value H is lower, which could be explain by the uncertainty of the relation between rain rates and radar reflectivities.