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ApplicabilityofDARMAmodelinstochasticsimulationof
dailyprecipitationinChina
1,2
1,2
1,2
1,2
ZENGWenying ,SONGSongbai ,KANGYan ,MARui ,GAOXuan 1,2
(1.CollegeofWaterResourcesandArchitecturalEngineering,NorthwestA&FUniversity,Yangling 712100,China;
2.KeyLaboratoryofAgriculturalSoilandWaterEngineeringinAridandSemiaridAreas,MinistryofEducation,
NorthwestA&FUniversity,Yangling 712100,China)
Abstract:TheuniversalityofDARMAmodelinsimulatingdailyprecipitationinChinaisstudiedtoimprovethe
randomsimulationaccuracyofdailyprecipitation.Inthispaper,theDARMA(1,1)modelisestablishedtosim
ulatetheoccurrenceofdailyprecipitationeventsbyusingdataseriesselectedfrom 811meteorologicalstationsin
Chinesemainland.Theautocorrelationcoefficientandthedryandwetrunprobabilitydistributionaretested.The
dailyprecipitationofdifferentwetanddryrunisgeneratedrandomlyaccordingtotheGammafunction ,andcom
paredwiththeDAR(1)model.Theresultsshowthatmorethan50% oftheprecipitationinChinaismulti - day
precipitationeventsof2daysandabovewithslowdecayautocorrelationcoefficient ,conformingtothecharacteris
ticsofDARMAmodel.Theaccuracyofdrywetrunprobabilitydistributiongeneratedbysimulationisbetterthan
thatofDARmodel ,andtheadvantageismoresignificantwiththeincreaseofprecipitation.Exceptforthemean
value ,thestatisticaleigenvaluesofsimulationseriesarebetterthanDARmodel.TheDARMAmodelisapplicable
tothestochasticsimulationofdailyprecipitationinChinesemainland ,andisafeasiblestochasticsimulationmodel
fordailyprecipitation.
Keywords:DARMA;dailyprecipitation;probabilitydistributionofwetanddryrun;Gammadistribution;sto
chasticsimulation
(责任编辑:耿庆斋)
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