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Aderivationmethodoffloodfrequencydistributionincorporating
rainfallstochasticvariable
2
1
3
1
JIANGCong,XIONGLihua,HUANGJunzhe,YANGShengmei
(1.SchoolofEnvironmentalStudies,ChinaUniversityofGeosciences,Wuhan 430074,China;
2.StateKeyLaboratoryofWaterResourcesandHydropowerEngineeringScience,WuhanUniversity,Wuhan 430072,China;
3.ChangjiangRiverScientificResearchInstitute,ChangjiangWaterResourcesCommission,Wuhan 430010,China)
Abstract:Asastochasticvariablerelatedtoflood,rainfallcanbeusedtoexpandtheinformationforflooddistri
butionestimation.Inthispaper,undertheframeworkofhierarchicalmodel,amethodforderivingfloodfrequency
distributionderivationispresentedwithincorporatingtherainfallstochasticvariables ,whichderivestheflooddis
tributionbyusingthetotalprobabilityformulafromboththeprobabilitydistributionoftherainfallvariableandthe
conditionaldistributionoffloodvariablegiventherainfall.TheannualmaximumfloodpeakflowfromtheLanjiang
RiverbasininZhejiangProvincewaschosentoperformacasestudy.Theresultsindicatethattheflooddistribution
estimatedbythederivationmethodwithincorporatingthestochasticvariableofannualmaximum15 - dayantecedent
precipitationhasasatisfactoryperformanceinfittingtheobservedfloodsamples ,slightlybetterthantheflooddis
tributionthatisobtainedbydirectlyfittingthePearsontype Ⅲ distributiontotheobservedfloodsamples.There
sultsofstatisticalexperimentbasedonrandomsamplingsuggestthatthehierarchicalmodelpresentedinthispaper
exhibitsadvantagesovertraditionalmethodsundertheconditionthatrainfallseriesarelongerthanfloodseries.The
hierarchicalmodel ,whichisabletonotonlymakeafulluseofthelongseriesofrainfallinformationbutalsoimplic
itlyconsidertheinfluenceofotherrandomfactorsonfloodfrequencydistribution ,isofbenefitforimprovingtheesti
mationaccuracyofflooddistributionsaswellasdecliningtheuncertaintyinhydrologicaldesignduetosamplingerror.
Keywords: flood frequency; hierarchicalmodel; generalized regression model; antecedentprecipitation;
Lanjiangbasin
(责任编辑:韩 昆)
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