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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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