2012 MCM北美数学建模A题论文

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1、Page19MathematicalmodelresearchonthenatureofteatreesForofficeuseonlyT1________________T2________________T3________________T4________________TeamControlNumber13499 ProblemChosenAForofficeuseonlyF1________________F2________________F3________________F4________________2012MathematicalCo

2、ntestinModeling(MCM)SummarySheetAbstract:Tobetterexpressatree’scharacteristic,furthermoretosolvesomeactualproblems.ThispaperusedLsystemfractalmodelandForestgapmodeltobuildanaccurateandcompletemodeltodescribeatreepositionparameterandshapeparameter.Ourmodelisthreesteps:theintensityoft

3、heconditionofthethreemodelgraduallydiminish.Firstmodel,weuseLsystemtocreateatreewithoutleaves.Wethenaddleafinformationtothefirstonewhichmadeitacompletetree.Inmodel3,weuseforestgapmodeltoaddsomemoreenvironmentalfactors,toamendthesimulationtomakeitmorereal.Totestifythismodelaccuracy,w

4、echoseteatreesfudingdabaiwhicharefromHunanprovincegrownupfromgarden13yearsoldcanopyasourresearchobjectandtestifythethreemodels,meanwhilecalculatedispersioncoefficientandthedifference.Fromthedispersionwecanknowthatthemodelisalright.Afterbuildingthemodel,wedidsomeresearchonthetree,use

5、mathematicaldeformationtofindtherelationsbetweenthevariouspartsofthetree,untilatlastgettheweightofthetree.Thispaperspecializedinlayermodelingconstructing,reducingtheconstraints,takinggoodadvantageofmatlabandspss,exceletc.tograduallytoclosetoreality.Keywords:Lsystemfractalmodel,fores

6、tgapmodel,significanceleveltestify,Layermodeling19Page19Contents1.Introduction...................................................................................................................................................22.AnalysisoftheProblem…..................................

7、..................................................................................23.Models……………..........................................................................................................................................44.Conclusions...................................

8、...................