30257.具有空間結(jié)構(gòu)的種群模型及分布格局研究

1、蘭州大學(xué)博士學(xué)位論文具有空間結(jié)構(gòu)的種群模型及分布格局研究姓名：高猛申請學(xué)位級別：博士專業(yè)：數(shù)學(xué)、應(yīng)用數(shù)學(xué)指導(dǎo)教師：李自珍20081201AbstractThesizeandspatial&stribudonofpopulationsarethetwomajorsubjectsinmathematicalecologyClassicalmethodsfrommathematicshaveplayedanimportantroleinstu

2、dyingtheproblemsaboutpopulationsizeGenerallythetemporaldynamicsofthepopulationsaremodeledbythedynamicalequations，wheremanywell—knownachievementsalsohavebeenobtainedOnthecontrayfewstudieshavecontributedtothesubjectofspati

3、aldistributionsofpopulationsandrelatedresearchisnotthrivedata11ThisPhDthesis，inwhichfourchaptersareincluded，willmainlyfocusonthespatialdynamicsofpopulationsspatialmodelsandspatialdistributionsInchapterone，webrieflyreview

4、edthehistoryofthedevelopmentofpopulationmodelsfromtheviewpointofmathematicalecologyThetransitionfromnon—spatialmodelstospatialmodelsisalsoincludedMoreoversomenewlydevelopedmethodswhichareusedinmodelingspatialdynamicsofpo

5、pulationsareintroducedAllthesemethodsarecomparedandcategorizedfromtheperspectiveofdynamicstheoryInchaptertWO)twOspatiallystructuredcompetitivesystemsarestudiedThefirstoneisanintegro—differentialmodelwhilethesecondoneisce

6、llularautomatamodelAfteracomprehensiveanalysisthetheorythatspatialstructureandnon—transitivecompetitionfavorcoexistenceofspeciesisverifiedTheimportanceofthisresearchisprovidingsometheoreticalevidenceandsupporttobiodivers

7、ityInchapterthree，aindividualbasedmodel(IBM)isintroducedanditsspatialdynamicsandpatternsareapproximatedbyagroupofmomentequationsActuallytheIBMisaninteractiveparticlesystem，wheretwocompetitivespeciesareplacedonaplane。Some

8、newresultsareobtainedandacomparisonwithpreviousstudiesaboutnonspatialsystemisalsoconductedItprovesthatthedispersalofindividualsfavorthecoexistenceofinterspecificcompetitivespeciesInchapterfourwefirstintroducedtheapplicat

9、ionofspatialpointprocessandspatialanalysisinpopulationpatternanalysisThefirstconcerninthischapteristocomputeaggregationparameterwhichreflectstheaggregationlevelofthespatialpointpatternTwonewmethods，Kfunctionanddistancesa

10、mplingareproposedTheotherconcerninthischapteristogiveanidealestimatorofthedensityBasedondistancesampling(distancefromindividualtoindividual)，vceproposeamaximumlikelihoodestimatorofthedensityAllabovemethodsareassessedbysi

11、mulatedpointpatternsandmappedpointpatternsfromrealforestsThemeamngofthisresearchishelpingfieldworkerstocompleteinventoryandsurveyefficientlyKeywords：Populationmodels；Spatiotemporaldynamics；Cycliccompetition；Pairapproxima