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| Titel |
Multifractal modelling and simulation of rain fields exhibiting spatial heterogeneity |
| VerfasserIn |
A. Pathirana, S. Herath |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1027-5606
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| Digitales Dokument |
URL |
| Erschienen |
In: Hydrology and Earth System Sciences ; 6, no. 4 ; Nr. 6, no. 4, S.695-708 |
| Datensatznummer |
250003667
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| Publikation (Nr.) |
 copernicus.org/hess-6-695-2002.pdf |
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| Zusammenfassung |
| Spatial multifractals are statistically
homogeneous random fields. While being useful to model geophysical fields
exhibiting a high degree of variability and discontinuity and including
rainfall, they ignore the spatial trends embedded in the variability that are
evident from large temporal aggregation of spatial fields. The modelling
of rain fields using multifractals causes the information related to spatial
heterogeneity, immensely important at some spatial scales, to be lost in the
modelling process. A simple method to avoid this loss of the heterogeneity
information is proposed. Instead of modelling rain fields directly as
multifractals, a derived field M is modelled; this is the product of filtering
observed rainfall snapshots with spatial heterogeneity as indicated by long term
accumulations of rain fields. The validity of considering the field M as
multifractal is investigated empirically. The applicability of the proposed
method is demonstrated using a discrete cascade model on gauge-calibrated radar
rainfall of central Japan at a daily scale. Important parameters of spatial
rainfall, like the distribution of wet areas, spatial autocorrelation and
rainfall intensity distributions at different geographic locations with
different amounts of average rainfall, were faithfully reproduced by the
proposed method.
Keywords: spatial rainfall, downscaling, multifractals |
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