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1、AppliedMathematicalModelling37(2013)7708–7716ContentslistsavailableatSciVerseScienceDirectAppliedMathematicalModellingjournalhomepage:www.elsevier.com/locate/apmSimulationandoptimizationforcropwaterallocationbasedoncropwaterproductionfunctionsandclimatefactorunderuncerta
2、intya,ba,c,⇑FangfangTong,PingGuoaCentreforAgriculturalWaterResearchinChina,ChinaAgriculturalUniversity,Beijing100083,ChinabSinohydroCorporationLimited,Beijing100048,ChinacEnvironmentalScienceandEngineeringProgram,UniversityofNorthernBritishColumbia,PrinceGeorge,CanadaBCV
3、2N4Z9articleinfoabstractArticlehistory:Inthispaper,theuncertaintymethodsofintervalandfunctionalintervalareintroducedinReceived1May2012theresearchoftheuncertaintyofcropwaterproductionfunctionitselfandoptimalalloca-Receivedinrevisedform4November2012tionofwaterresourcesinth
4、eirrigationarea.ThecropwaterproductionfunctionsintheAccepted1March2013wholegrowthperiodunderuncertaintyandtheoptimalallocationofwaterresourcesAvailableonline15March2013modelintheirrigationareaunderuncertaintyareestablished,andthemeteorologicalfac-torisconsideredinthemode
5、l.ItcanpromotethepracticalapplicationoftheuncertainKeywords:methods,reflectthecomplexityanduncertaintyoftheactualsituation,andprovidemoreCropwaterproductionfunctionreliablescientificbasisforusingwaterresourceseconomically,fullyimprovingirrigationMeteorologicalfactorOptimal
6、allocationefficiency,andkeepingthesustainabledevelopmentoftheirrigatedarea.ThisapproachWaterresourceshasimportantvalueontheoreticalandpracticalfortheoptimalirrigationschedule,andIrrigationhasverybroadprospectsforresearchanddevelopmenttootherrelatedagriculturewaterUncertai
7、ntymanagement.Ó2013ElsevierInc.Allrightsreserved.1.IntroductionTheincreasedwaterdeficitsassociatedwithoveruseofsurfacewaterandthedeclininggroundwaterlevelsarethreaten-ingthesustainabilityofagriculturalproductionintheregionsofNorthwestofChina[1].Therefore,theimprovementofw
8、atermanagementpracticesistheutmostimportancetoensurecropproductionwithexistingsuppliesofwater[2,3].Crop