Multifractal modeling of anomalous scaling laws in rainfall
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Data
1999
Autori
Deidda, Roberto
Benzi, Roberto
Siccardi, F.
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Abstract
The coupling of hydrological distributed models to numerical weather
predictions outputs is an important issue for hydrological applications
such as forecasting of flood events. Downscaling meteorological predictions to the hydrological scales requires the resolution of two fundamental
issues regarding precipitation, namely: 1) understanding the statistical
properties and scaling laws of rainfall fields; 2) validation of downscaling
models that are able to preserve statistical characteristics observed in
real precipitation. In this paper we discuss the first issue by introducing
a new multifractal model that appears particularly suitable for random
generation of synthetic rainfall. We argue that the results presented in
this paper may be also useful for the solution of the second question.
Statistical behavior of rainfall in time is investigated through a high
resolution time series recorded in Genova (Italy). The multifractal analysis shows the presence of a temporal threshold, localized around 10รท20
hours, which separates two ranges of anomalous scaling laws. Synthetic
time series, characterized by very similar scaling laws to the observed one,
are generated with the multifractal model. The potential of the model
for extreme rainfall event distributions is also discussed. The multifractal analysis of GATE radar fields have shown that statistical properties
of rainfall in space depend on time durations over which precipitation
is accumulated. Further analysis of some rainfall fields produced with a
meteorological limited area model exhibited the same anomalous scaling
as the GATE fields.
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Keywords
hydrological models , synthetic rainfall , multifractal model , GATE