Patchanalysis指数简单对译.docx

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Patchanalysis指数简单对译.docx

Patchanalysis指数简单对译

MetricDefinitions(fromMcGarigalandMarks,1994andMcGarigalandMarks,1995)

ClassArea(CA)

Sumofareasofallpatchesbelongingtoagivenclass.

Example:

ConiferClassArea(CA)=359047.844+......+65819.984

CA=69.6626hectares

Ifthemapunitsarenotspecified(i.e.,DataFrameproperties;seeSetmapunits)and"StateareasinHectares"hasnotbeenselectedinthe"AdvancedOptions"ofthe"SpatialStatistics"dialogbox,thentheresultingstatisticswillbereportedinnativemapunits(vectorlayers(themes)only).

Intheexample;CA=696626.012(mapunits).Thisisthecaseformoststatistics.

LandscapeArea(TLA)

Sumofareasofallpatchesinthelandscape.

Example:

LandscapeArea(TLA)=46872.719+359047.844+...+62423.574

TLA=184.11hectares

PercentageofLandscape(ZLAND)

Whenanalyzingbyclass,ZLANDisthepercentageofthetotallandscapemadeupofthecorrespondingclass(patchtype).

NumberofPatches(NumP)

Totalnumberofpatchesinthelandscapeif"AnalyzebyLandscape"isselected,orNumberofPatchesforeachindividualclass,if"AnalyzebyClass"isselected.

Example:

ClassLevel:

NumberofPatches(NumP)

Mixedwood=5,Conifer=4,Deciduous=5

LandscapeLevel:

NumberofPatches(NumP)=14

PatchRichness(PR)

PRisthenumberofdifferentpatchtypeswithinthelandcape'sboundary.

PatchRichnessDensity(PRD)

PRDisequaltoPRdividedbythetotalareaofthelandscape(metressquared)multipliedby10,000andthen100(toconverttohundredsofhectares).

LargestPatchIndex(LPI)

TheLPIisequaltothepercentofthetotallandscapethatismadeupbythelargestpatch.

Whentheentirelandscapeismadeupofasinglepatch,theLPIwillequal100.Asthesizeofthelargestpatchdecreases,theLPIapproaches0.

MeanPatchSize(MPS)

Averagepatchsize.

Example:

MeanPatchSizeofConiferPatches(ClassLevel)

MPS=(359047.844+139531.484...+65819.984)/4

MPS=17.42hectares

Example:

MeanPatchSizeofPatches(LandscapeLevel)

MPS=(46872.719+359047.844+...+62432.574)/14

MPS=13.15hectares

MedianPatchSize(MedPS)

Themiddlepatchsize,or50thpercentile.

Example:

MedianPatchsizeofConiferPatches(ClassLevel)

MedPS=13.22hectares

Example:

MedianPatchsizeofallpatches(LandscapeLevel)

MedPS=7.59hectares

PatchSizeStandardDeviation(PSSD)

StandardDeviationofpatchareas.

Example:

PatchSizeStandardDeviationofConiferPatches(ClassLevel)

PSSD=11.05hectares

Example:

PatchSizeStandardDeviationofallpatches(LandscapeLevel)

PSSD=9.51hectares

PatchSizeCoefficientofVariance(PSCoV)

Coefficientofvariationofpatches.

Example:

CoefficientofVariationofConiferpatches(ClassLevel)

PSCoV=PSSD/MPS=(11.05hectares/17.42hectares)*100=63

Example:

CoefficientofVariationofallpatches(LandscapeLevel)

PSCoV=(9.51hectares/13.15hectares)*100=72

TotalEdge(TE)

Perimeterofpatches.

Example:

TotalEdgeConifer(ClassLevel)

TE=Sumofperimeterofallconiferpatches.

TE=10858.88metres

Unitsareexpressedinnativemapsunits.

Example:

TotalEdgeallpatches(LandscapeLevel)

TE=Sumofperimeterofallpatches

TE=28607.27metres

Important

Inthecaseofvectorlayers(themes),edgecalculationsincludealltheedgeonthelandscapeincludingboundaryedge.Thecontrastedweightededgefeatureallowsedgeweightattheboundariestobesettozero.Inthecaseofraster(grid)layers(themes),edgecalculationsdonotincludetheedgesthatsurroundthelandscapeboundaryedgeoranyinterioredgesthatincludepixelsclassifiedasNoData.

EdgeDensity(ED)

Amountofedgerelativetothelandscapearea.

Example:

EdgeDensityConifer(ClassLevel)

ED=TE/TLA

ED=10858.88metres/184.11hectares=58.98metres/hectare

Example:

EdgeDensityofallPatches(LandscapeLevel)

ED=28607.27metres/184.11hectares=155.38metres/hectare

MeanPatchEdge(MPE)

Averageamountofedgeperpatch.

Example:

MeanPatchEdgeConifer(ClassLevel)

MPE=TE/NumP

MPE=10858.88metres/4patches=2714.72metres/patch

Example:

MeanPatchEdgeallPatches(LandscapeLevel)

MPE=TE/NumP

MPE=28607.27metres/14patches=2043.38metres/patch

ContrastedWeightedEdgeDensity(CWED)

CWEDisameasureofdensityofedgeinalandscape(metresperhectare)withauser-specifiedcontrastweight.

CWEDisequalto0whenthereisnoedgeinthelandscape,inotherwordsthewholelandscapeandit'sborderaremadeupofasinglepatch.It'svalueincreasesastheamountofedgeinthelandscapeincreasesand/orastheuserincreasesthecontrastweight.

LandscapeShapeIndex(LSI)

LSIisthetotallandscapeboundaryandalledgewithintheboundarydividedbythesquarerootofthetotallandscapearea(squaremetres)andadjustedbyaconstant(circularstandardforvectorlayers,squarestandardforrasters).TheLSIwillincreasewithincreasinglandscapeshapeirregularityorincreasingamountsofedgewithinthelandscape.

DoubleLogFractalDimension(DLFD)

DLFDisameasureofpatchperimetercomplexity.Itnears1whenpatchshapesare'simple',suchascirclesorsquaresanditapproaches2aspatchshapeperimetercomplexityincreases.

MeanPerimeter-AreaRatio(MPAR)

ShapeComplexity.

Example:

Meanperimeter-arearatioConifer(ClassLevel)

MPAR=Sumofeachpatchesperimeter/arearatiodividedbynumberofpatches.

MPAR=(132m/ha+112m/ha+201m/ha+84m/ha)/4patches

MPAR=182metres/hectare

Example:

Meanperimeter-arearatioallpatches(LandscapeLevel)

MPAR=(200m/ha+132m/ha+...+175m/ha)/14patches

MPAR=185metres/hectare

MeanShapeIndex(MSI)

ShapeComplexity.

MSIisequalto1whenallpatchesarecircular(forpolygons)orsquare(forrasters(grids))anditincreaseswithincreasingpatchshapeirregularity.

MSI=sumofeachpatch'sperimeterdividedbythesquarerootofpatcharea(inhectares)foreachclass(whenanalyzingbyclass)orallpatches(whenanalyzingbylandscape),andadjustedforcircularstandard(forpolygons),orsquarestandard(forrasters(grids)),dividedbythenumberofpatches.

AreaWeightedMeanShapeIndex(AWMSI)

AWMSIisequalto1whenallpatchesarecircular(forpolygons)orsquare(forrasters(grids))anditincreaseswithincreasingpatchshapeirregularity.

AWMSIequalsthesumofeachpatch'sperimeter,dividedbythesquarerootofpatcharea(inhectares)foreachclass(whenanalyzingbyclass)orforallpatches(whenanalyzingbylandscape),andadjustedforcircularstandard(forpolygons),orsquarestandard(forrasters(grids)),dividedbythenumberofpatches.ItdiffersfromtheMSIinthatit'sweightedbypatchareasolargerpatcheswillweighmorethansmallerones.

MeanPatchFractalDimension(MPFD)

ShapeComplexity.

Meanpatchfractaldimension(MPFD)isanothermeasureofshapecomplexity.Meanfractaldimensionapproachesoneforshapeswithsimpleperimetersandapproachestwowhenshapesaremorecomplex.

AreaWeightedMeanPatchFractalDimension(AWMPFD)

ShapeComplexityadjustedforshapesize.

Areaweightedmeanpatchfractaldimensionisthesameasmeanpatchfractaldimensionwiththeadditionofindividualpatchareaweightingappliedtoeachpatch.Becauselargerpatchestendtobemorecomplexthansmallerpatches,thishastheeffectofdeterminingpatchcomplexityindependentofitssize.Theunitofmeasureisthesameasmeanpatchfractaldimension.

MeanNearestNeighbor(MNN)

Measureofpatchisolation.

Thenearestneighbordistanceofanindividualpatchistheshortestdistancetoasimilarpatch(edgetoedge).Themeannearestneighbordistanceistheaverageofthesedistances(metres)forindividualclassesattheclasslevelandthemeanoftheclassnearestneighbordistancesatthelandscapelevel.

InterspersionJuxtapositionIndex(IJI)

Measureofpatchadacency.

Approacheszerowhenthedistributionofuniquepatchadjacenciesbecomesunevenand100whenallpatchtypesareequallyadjacent.

Interspersionrequiresthatthelandscapebemadeupofaminimumofthreeclasses.Attheclasslevelinterspersionisameasureofrelativeinterspersionofeachclass.Atthelandscapelevelitisameasureoftheinterspersionoftheeachpatchinthelandscape.

MeanProximityIndex(MPI)

Measureofthedegreeofisolationandfragmentation.

Meanproximityindexisameasureofthedegreeofisolationandfragmentationofapatch.MPIusesthenearestneighborstatistic.Thedistancethresholddefaultis1,000,000.IfMPIisrequiredatspecificdistances,selectSetMPIThresholdfromthemainPatchpull-downmenuandenterathresholddistance.

BothMNNandMPIusethenearestneighborstatisticofsimilarpolygonsintheiralgorithm.OccasionallyablankorzerowillbereportedinMNNandMPIfields.Thishappenswhenonepolygonvertextouchesanotherpolygonsborderbutthetwosimilarpolygonsdonotshareacommonborder.Whenthishappensamanualedit(move)ofthetouchingvertexwillcorrecttheprobleminthelayer(theme).Thisproblemwillnothappenwhenanalyzingraster(grid)layers(themes).

Shannon'sDiversityIndex(SDI)

Measureofrelativepatchdiversity.

Shannon'sdiversityindexisonlyavailableatthelandscapelevelandisarelativemeasureofpatchdiversity.Theindexwillequalzerowhenthereisonlyonepatchinthelandscapeandincreasesasthenumberofpatchtypesorproportionaldistributionofpatchtypesincreases.

Simpson'sDiversityIndex(SIDI)

Measureofrelativepatchdiversity.

Si

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