〔A〕.InWilsonJP,GallantJC.eds:Terrainanalysis:Princi2
plesandApplication〔C〕.JohnWiley&SonsPress,2000.311～330.
〔7〕 DesmetPJJ,parisonofroutingalgorithmsfor
digitalelevationmodelsandtheirimplicationforpredictingephemeralgullies〔J〕.InternationalJournalofGeographicalInfor2mationscience,1996a,10(10):311～331.
〔8〕 BiesemansJ,MeirvenneMV,GabrielsD.Extendingthe
RUSLEwiththeMonteCarloerrorprogagationtechniquetopre2dictlong2termaverageoff2sitesedimentaccumulation〔J〕.JournalofSoilandWaterConservation,2000,(1):35～42.
〔9〕 DietrichWE,WilsonCJ,MontgomeryDR.,McKeanJ.Anal2
ysisoferosionthresholds,channelnetworks,andlandscapemor2
规则格网 坡度坡向算法的比较分析 DEM
干 旱 区 地 理 27
卷40 4
phologyusingadigitalterrainmodel〔J〕.TheJournalofGeology,1993,10:259～278.
ningS.(eds.),GISandEnvironmentalmodeling:ProgressandResearchIssuse〔C〕.FortCollins,CO:GISWorldBooks:1996,143～148.
〔10〕MitasovaH,HofierkaJ,ZlochaM,IversonLR.Modellingto2
pographicpotentialforersiondeositionusingGIS〔J〕.INT.J.GeographicalInformationSystems,1996,10(5):629～641.
〔19〕BurroughPA,McdonnellRA.PrinciplesofGeographicalInfor2
mationSystem〔M〕.Oxford,UK:OxfordUniversityPress,1998.
〔11〕DesmetPJJ,GoversG.AGISprocrdureforautomaticallycal2
culatingtheUSLELSfactorontopographicallycomplexlandscapeunits〔J〕.J.SoilandWaterCons.,1996b,51(5):427～433.
〔20〕SkidmoreAK.Acomparisonoftechniquesforthecalculationof
gradientandaspectfromagriideddigitalevevationmodel〔J〕.In2ternationalJournalofGeographicalInformationSystems,1989,3:323～334.
〔12〕StephenJV,IrvinBJ.Automatedlandformclassificationmeth2
odsforsoil2landscapestudies〔A〕.InWilsonJP,GallantJC.eds:Terrainanalysis:PrinciplesandApplication〔C〕.JohnWiley&SonsPress,2000.267～294.
〔21〕FlorinskyIV.Accuracyoflocaltopographicvariablesderived
fromdigitalelevationmodels〔J〕.INT.J.GeographicalInforma2tionScience,1998b,12(1):47～61.
〔13〕O’CallaghanJF,MarkDM.Theextractionofdrainagenet2
worksfromdigitalelevationdata〔J〕.ComputerVision,Graph2ics,andImageProcessing,1984,28:323～344.
〔22〕HodgsonME.Whatcellsizedoesthecomputedslope/aspectan2
glerepresent?〔J〕PhotogrammetricEngineeringandRemoteSensing,1995,61:513～517.
〔14〕WoodJD.Thegeomorphologicalcharacterisationofdigitaleleva2
tionmodel〔D〕.PhDThesis,UniversityofLeicester,1996.
〔23〕JonesKH.Acomparisonofalgorithmsusedtocomputehillslope
asapropertyoftheDEM〔J.andGeosciences,1998,24(4):～〔15〕ZevenbergenLW,ThorneCR.Quantitativeanalysisoflandsur2
facetopography〔J〕.EarthSurfaceprocessesandLandforms,1987,12:47～56.
〕,B.onslopeandas2
andGeographicInformationSys2,1991,18:69～77.
〔16〕SharpnackDA,AkinG.AnAlgorithmforslopeaspectfromelevations〔J〕.1969,:247～248.
〔25〕KingJT.(林成森,颜起居,李明霞译).数值计算引论〔M〕.
南京:南京大学出版社,1989.
〔26〕徐萃薇.计算方法引论〔M〕.北京:高等教育出版社,1985.〔27〕李庆扬,王能超,易大义.数值分析〔M〕.武汉:华中工学院出
版社,1982.
〔28〕刘学军.基于规则格网数字高程模型解译算法误差分析与评
价〔D〕.武汉大学,博士学位论文,2002.
〔17〕ZhouQ,WangP,;ofhydrological
modelingalgorithmsgrid2baseddigitalelevationmodels〔A〕.inProceedingsoftheInternationalConferenceonModellingGeo2graphicalandEnvironmentalSystemswithGIS〔C〕,22～25,June,1998,HongKong,257～265.
〔18〕MooreID.HydrologicModelingandGIS,InGooldchildMF,
SteyaertLT,ParksBO,CraneMP,MaidmentDR,Glendin2
StudyontheAccuracyandAlgorithmsforCalculating
SlopesandAspectsBasedontheDigitalElevationModel
LITian2wen1, LIUXue2jun1,2, CHENGZheng2jiang1
(1.DepartmentofUrbanandResourcesSciences,NorthwestUniversity,Xi’an710069,China;
2.CollegeofHighwayEngineering,ChangshaUniversityofScienceandEngineering,Changsha410076,China)
Abstract:Slopeandaspectarethemostfrequentlyusedterrainparametersingeosciencemodels,theycannotonlyindirectlydescribetheshapeandstructureofaterrain,butalsoarethebasicparametersinthehydrologicalmodels,monitoringandanalysisoflandslides,surfacematerialmovement,soilerosionmodels,landuseplan2ning,etc.However,therearesomedifferentviewpointsandevencontradictionsintheaccuracyandalgorithmsofslopeandaspectduetothedifferencesinthesourcesoferrors,analysisandevaluationmethods.Inthispa2
per,theerrorsincalculatingslopesandaspectswithdigitalelevationmodel(DEM)aretheoreticallyanalyzed,andtheconclusionsconcernedareverifiedwiththeexperimentaldatasoastoclarifythecontradictionsincalcu2latingslopesandaspects.ItisconsideredthatthesourcesandcharactersoftheerrorsincalculatingslopesandaspectswithDEMshouldbedifferentiated,andtheevaluationofthealgorithmsshouldbecarriedoutintheob2jectiveandquantitativeenvironmentwiththecomparableobjects.KeyWords:digitalelevationmodel;slope;aspect;algorithm;accuracy.