2004
DOI: 10.1623/hysj.49.4.549.54426
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Investigations du caractère multifractal des débits maximaux annuels de crue / Investigation of multifractality of maximum annual flood discharges

Abstract: Résumé L'analyse multifractale des débits maximaux annuels de crue en 55 stations du réseau hydrométrique tunisien permet d'associer les différents moments statistiques des débits de surface des bassins versants à travers une loi d'invariance d'échelle. Sur cette base, un modèle de cascades aléatoires est identifié. La loi d'invariance d'échelle obtenue pour les valeurs extrêmes représente un fondement théorique pour les modèles empiriques proposés depuis les années soixante et reliant les valeurs extrêmes et … Show more

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Cited by 7 publications
(2 citation statements)
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References 21 publications
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“…Later Gargouri and Bargaoui [31] investigated the copula model classi cation based on physiographic and geographic catchment characteristics to delineate 22 Tunisian catchments in hydro-physiographical regions They noted that the catchments in a same region are not necessarily geographically contiguous. Subsequently, Bargaoui and Chebchoub [32] applied the multifractal analysis of maximum annual ood discharges at 55 stations of the Tunisian gauging network, they managed to associate the various statistical moments of surface discharges of the basins through a scale-invariant law, a random cascade model was identi ed. They de ned a scale invariance law for the extreme values which was considered a theoretical basis for the empirical models proposed since the sixties and linking the extreme values and their associated risks to the drained areas.…”
Section: Introductionmentioning
confidence: 99%
“…Later Gargouri and Bargaoui [31] investigated the copula model classi cation based on physiographic and geographic catchment characteristics to delineate 22 Tunisian catchments in hydro-physiographical regions They noted that the catchments in a same region are not necessarily geographically contiguous. Subsequently, Bargaoui and Chebchoub [32] applied the multifractal analysis of maximum annual ood discharges at 55 stations of the Tunisian gauging network, they managed to associate the various statistical moments of surface discharges of the basins through a scale-invariant law, a random cascade model was identi ed. They de ned a scale invariance law for the extreme values which was considered a theoretical basis for the empirical models proposed since the sixties and linking the extreme values and their associated risks to the drained areas.…”
Section: Introductionmentioning
confidence: 99%
“…Subsequently, At 55 stations of the Tunisian gauging network, Bargaoui and Chebchoub 28 applied the multifractal analysis of maximum annual flood discharges. They identified a random cascade model after successfully connecting the various statistical moments of the basins' surface discharges through a scale-invariant law.…”
Section: Introductionmentioning
confidence: 99%