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Titel |
Empirical meaning of DTM multifractal parameters in the precipitation context |
VerfasserIn |
Freddy Portilla Farfan, Jose Luis Valencia, Maria Villeta, Ana M. Tarquis, Antonio Saá-Requejo |
Konferenz |
EGU General Assembly 2015
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Medientyp |
Artikel
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Sprache |
Englisch
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Digitales Dokument |
PDF |
Erschienen |
In: GRA - Volume 17 (2015) |
Datensatznummer |
250113366
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Publikation (Nr.) |
EGU/EGU2015-14956.pdf |
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Zusammenfassung |
The main objective of this research is to interpret the multifractal parameters in the case of
precipitation series from an empirical approach. In order to do so nineteen precipitation series
were generated with a daily precipitation simulator derived from year and month
estimations and considering the classical statistics, used commonly in hydrology studies,
from actual data of four Spanish rain gauges located in a gradient from NW to
SE.
For all generated series the multifractal parameters were estimated following the
technique DTM (Double Trace Moments) developed by Lavalle et al. (1993) and the
variations produced considered. The results show the following conclusions:
1. The intermittency, C1, increases when precipitation is concentrating for fewer days,
making it more variable, or when increasing its concentration on maximum monthly
precipitation days, while it is not affected due to the modification in the variability in the
number of days rained.
2. Multifractility, α, increases with the number of rainy days and the variability of the
precipitation, yearly as well as monthly, as well as with the concentration of precipitation on
the maximum monthly precipitation day.
3. The maximum probable singularity, γs, increases with the concentration of rain on the
day of the maximum monthly precipitation and the variability in yearly and monthly
level.
4. The non-conservative degree, H, depends on the number of rainy days that appear on
the series and secondly on the general variability of the rain.
References
Lavallée D., S. Lovejoy, D. Schertzer and P. Ladoy, 1993. Nonlinear variability and
landscape topography: analysis and simulation. In: Fractals in Geography (N. Lam and L. De
Cola, Eds.) Prentice Hall, Englewood Cliffs, 158-192. |
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