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SocietyPlanning:Model,SimulationAndThispaperpresentsamodeltoizeboththeeconomicoutputandjobsatisfactionfortheworkforcewithsustainabilityinthescope.Webuildaself-adaptivesystemanddefineitsdynamics.Werunsimula-tionsofthesystemwithreal-worldcensusdata(PUMS2015[1])tofindouttheoptimalfeasiblesolution.Basedonthesolution,roposestrategiestoimprovethelivingconditionsofhumanimmigrantsonMars.Ourmodelhascapabilitiestodealwithissuesofpopulationscalability,socialdevelopmentmodalityandevolutiondynamics.Toaddresstheproblemofcreatinganoptimaleconomic-workforce-educationsystem,we itintosixsub-problems.,weconstructedaparameterframethatintegratesvariablesrelatedtothreeaspects: e,edu-cationandsocialequality.Weincludebasicparametersthatexistinthecensusdatabase,fromwhichwederivemetricsthatrevealthecharacteristicsofthesociety.ThroughanyticalHierarchyProcess,weidentifythecriticalparameters,amongwhichtheHappinessIndexisanimportantcomprehensiveevaluationofcitizenswell-being.Second,weformulatecriteriatoselect10000immigrantsforPopulationZero.Incomparisontotheselectedgroup,wegeneratearandomsamplebyextractingdatafromPUMS2015databaseof1,618,489U.S.citizens.Westudythedemographicsofboththeselectedgroupandtherandomsample.Theselectedgroupshowsanobviousadvantageinbuildingasuccessfulsociety.Third,weconstructamodeltosimulatethedynamicevolutionofPopulationZero.Consistingofvari-oussystemssuchasjob,marriage,childgeneration,education,salary,salvationandmigrationsystem,thismodelevolveslikeourrealworld.Wediscussonesampleresultindetailsusingdemographics,economicsandHappinessIndex.Inaddition,weusethismodeltofindtheequilibriumpointbetweentwocontradictorygoalsoffastereconomicdevelopmentandbettersocialwelfare.ByimplementingaPrincipleComponentysisonthedemographicdata,wedefinethekeyelementsofasuccessfulsocietyashighaveragefamily e,highminimumwageandlowstandarddeviationof e.Wesolvethethree-objectiveoptimizationproblembyEliteGeneticAlgorithm.Wefindthattheoptimalminimumwageis$33526peryear,andtheoptimalparentalleavepayis$50200peryear.Next,wemergethemodelsof e,educationandsocialequalityintoaglobalmodeltoandtestitindifferentsocialgroups.Weidentifythesubgroupsasprofessionallaborsandunskilledworkers.Thewebuildanon-linearprogrammingmodeltodecidetheresourcesallocationstrategyamongdifferentsubgroups.Wefind izingtheparentalleavepaywillnotreducetheminimumwageandeFinally,westudytheeffectofimmigrantwavesfromtheviewofcomplexnetworktheory.Wegenerateascale-freecomplexnetworkwithsmallworldpropertytorepresenttheinter allindividualsincludingMarsresidentsandnewimmigrants.Ourmodelshowsstrategyof10000migrantseverytenyearsaresustainable,andcapableofdealingwithalargenumberofrefugeesfromEarth.Team#Team# HonoredDirectorofThankyouforhiringandtrustingus.WehaveseenthegreatsuccessofplannedcommunitiesthatarebuiltacrossEarth.However,afterdetailedinvestigationanddeliberateconsideration,wefindthatlabormanagementandsocietyplanoftheexistingexperimentalcommunitiescanbefurtheroptimized.Therefore,wefeelobligedto mendtheoptimalstrategiestoLIFEtoensurethesuccessfullaunchofprojectUTOPIA:2100.Our mendationsarebasedonprecisemodelingandcomputersimulationbasedonreal-worlddata,thusweareconfidentofourproposals.Westudytheproblembothonamicroandmacrolevel.Weconsider3importantbalancingfactors:economy,education,andequalityinthevisionofsustainability.Wehaveruna2000-yearsimulationandvalidatedtherobustnessofourmodel.Herewesuggestaseriesofstrategies.SelectEducatedImmigrantsIntermsofeconomicdevelopment,roposethatLIFErecruitmoreimmigrantswhoownbachelordegreeorhigher,andincreasetheratioofcitizensunder40.Individualwithstronginnovationabilityshouldbegrantedprivilegeintheselectionprocedure.OurmodelshowshigherratioofinnovatorandhigheraverageeducationlevelcontributetofastergrowthofGDP.izeMinimumWageHigherminimumwageresultsinlowerstandarddeviationof loweraverage e.Nevertheless,concernsaboutthenegativeeffectofhighminimumwageonGDPisunnecessary.Althoughaverage edecreasesastheminimumwagegrows,thechangeisnegligible.TheslightnegativeeffectcsobecompensatedbyrecruitingskilledlaborfromEarth.WedefineaHappinessIndextoevaluationthecitizensattitudetowardlifeinMars.Lowervarianceoffamily eleadstohigherHappinessIndexbutlowerNetDomesticProduct.Webalancethetwofactorsandfindtheequilibriumpoint,atwhichtheminimumwageisaround$31708lessthantheaverage e.We mendthatminimumwageshouldbearound$33526andincreaseaseconomyEmphasizeEducationThesignificanceofeducationisamplifiedbyitscorrelationwiththeeconomicdevelopment.Sincehighereducationlevelleadstohigher eandbettereducationofthechildren,emphasisoneducationofPopulationZeroincursavirtuouscircle.Ifeducationofthegenerationisinsufficient,chainreactionwillleadtoacascadeandfinallythedownfallofPopulationZero.IncreaseParentalLeavePayWesuggestthatLIFEofferparentalleavetobothfathersandmotherstomaintaintheequalityandizethebirthrate.SincepopulationneedtoexpandonMarstocreatedmoreactivelaborforces,encouragingbirthgivingbyimplementinghighparentalleavepayisbeneficialtothelongtermdevelopmentonMars.EliminateDiscriminationInourcomplexnetworkmodel,wefindthatlargerscaleofpopulationandcloserrelationshipamongindividualscontributetohighereconomicgrowthspeed.DiscriminationbetweenlocalresidentsofMarsandnewimmigrantsfromEarthshouldbeeliminated,sincemarriagesbetweenindividualsofthetwogroupisfundamentaltothestabilityofpopulation.RobustnessOfOurModelWecomparesamplesofPopulationZerowithrandomlyaddednoisesondatabase.Resultsshowtheoptimalstrategiesdonotvarymuch.SincewedonotconsiderthelimitationofnaturalresourcesonMars,ourmodelmaybelesseffectiveinmodellingalargescaleofpopulation.Healthcareisnotconsidered,whieansadditionalmodelsshouldbeintegratedtooursimulation.WehopethatoursuggestionsareusefulforLIFEandtheUTOPIA:2100willbeasuccessfulbeginningofmigrationtoMars. ParameterDefinitionAnd PUMSDatabase....................................... Three-tierBasicParameterSystem............................. DerivedIndexSystem.................................... e ................................... EducationFactor.................................. EqualityFactor................................... ..................................... PopulationZero:PUMSDempgraphicsAndImmigrants RandomSampleOf10000People............................. SelectionCriteriaAndAlgorithm.............................. ComparisonBetweenPopulationZeroAndTheRandomSample............. DemographicDistributions............................. EvolutionModelandDynamic ModelStructureandOverviewOfSample AssumptionsandMathematicalExpressionForEach Job Education Marriage NewIndividuals:ChildbornAndMigration NewlyBorn Migration Trade-offsAndSocial AdditionalAssumptionsAnd PolicyForBalanceBetweenMinimumWageAndHigh BestChildcareAndParentalLeave Model’sFunctionForDifferent esAcrossDifferent MajorSubgroup BestAllocation alRelationshipNetworkAndNew GenerationOf al StationaryIncrementModelAndImpactOfImmmigration Migration InfluencesByChoosingDifferentMigration PhasedOverandOne-Year 邁思數(shù)模2018美賽課程價(jià)項(xiàng)目名稱價(jià)包含內(nèi)容報(bào)名方式80聯(lián)系報(bào)模賽美賽報(bào)名普通班及VIP班元;外部學(xué)850聯(lián)系報(bào)門班課程元;三398【限時(shí)特惠168-268-368節(jié)。共計(jì)20節(jié)課/6313466-法班課程課程更新時(shí)間為:11/6313466-節(jié)。共計(jì)20節(jié)課/6313466-門班課程元;三798【限時(shí)特惠568-668-768再支付400元到支付 法班課程聯(lián) Team# Strengthsand ScriptOfEvolution Team# BackgroundInthisyearof2095,aseriesofshort-termplannedlivingexperimentshavebeencompletedonMars.Agroupof10000people,calledPopulationZero,willmigratetoMars.Besidesallthead-vancedtechnologiesthatmakelifeonMarspossible,anoptimalstrategyregardingworkforce,economyandeducationshouldbedesignedtofacilitatethedevelopmentofPopulationZero.RestatementandClarificationOurteamisboundtoconstructapolicymodel,whichincludeasetof mendationsthatwillcreateasustainablelife-plan.Tofindouttheoptimalstrategies,weneedtobuildmodels,runsimulationsandpresentthevisualizedresults.Ourmodelshouldbescalable,multi-tieredanddynamic.However,trade-offsshouldbemadeiftwoobjectivescontradict,andthe3balancingfactorsare e,educationandequality.WeaimtosolvethefollowingDefineasetofparametersandmetricsandclarifytheirSelectagroupof10000citizensasPopulationZeroand yzethedemographiccharacteristics.DecidetheselectioncriteriathatmakeUTOPIA:2100awell-functioningsociety.Definethekeyelementsofasuccessfulsocietyina10-yearperiod.Findouttheequilibriumbetweentheoptimalminimumwageandsalarydistribution.Findouttheoptimalparentalleavepay.Identifythemajorsubgroupsofyourworkforce,a ntifytheirmainpriorities.Adjustourmod-elstobalancetheneedsofdifferentsubgroups. izethepriority eswithoutsharplyreducingthe BuildasustainableSmallWorldnetworkmodelanddefinethedynamicsofevolution.yzetheimpactofimmigrationphasedoverthenext100years.Testthescalabilityofournetworkmodel.Consideramuchlargerpopulation.Studytherobustnessofthemodel.ParameterDefinitionAnd PUMSTheAmericanCommunitySurvey(ACS)PublicUseMicrodataSample(PUMS)[1]filesareasetof284differentuntabulatedrecordsincludingpopulationandhousingunitrecordswithindividualinformationsuchasrelationship,sex,educationalattainment,andemploymentstatus,etcetera.Itisconvenientforpeoplewhoarelookingforaccessibilitytoinexpensivedataforresearchprojects.However,thereisathingworthnotingthatPUMSdoesnotcontaininformationofpeopleunder16yearsold.Three-tierBasicParameterInordertofythecharacteristicsofPopulationZero,weclarifythefundamentalparametersthatwouldbeappliedinourmodels.Theparametersareclassifiedaccordingtotheobjectstheydescribeandtheaspectofthe estheycontributeto.Thereare3tiersofparameters,whichdelivertativeinformationaboutPopulationZeroonindi-viduallevel,familylevelandsocietallevelrespectively.Ineachtier,importantfactorsrelatedto educationandequalityareadoptedasparameters.TheFig.1belowillustratesaclearstructureofpredomi-nateparameterswhosedetailedinformationisinTab.1.Figure1:HierarchyDerivedIndexTosimplifythe3-tierbasicparameter,wedesignacomprehensiveindexsystemtopresentamorede-tailedtativedescriptionofPopulationZeroandtrytorevealtherelationordependencyamongtheeFromindividuallevel, alsavingsratearemostimportantparameters.Therelation-shipbetweenthemareasfollows,accordingtoU.S.BureauofEconomicysis[2]DPI=RPI?(1? whereRPIis e(adjustedforinflation,butinourmodelequals DPIis e,rtaxistaxDPI?rs wherePCEis alconsuptionexpenditure,rsis alsavingrate.rs<0indicatesthathis can’tmeethisexpenditurethusinbadcondition.Ifrs≥0andislow,thenheisingoodconditionandthereisnoneedforhimtoworryaboutfuture.Ifrs≥0andishigh,thenheisingoodconditionbuthastoworryabouthisfuture.Fromhouseholdlevel,childcaretakesalargeproportionoffamilyrce= whererceischildcareexpendituresrate,Fcisaveragefamilychildcareexpenditure,FexpisaveragefamilyFromsocietallevel,GDPandNDParemost GDP=α?P?(1? Team# whereαisaverageworkforceproductivitywhichisrelatedtoworkinghoursandcreativeactivityinvolvedinproducinginnovations,Pisthetotalnumberofpeople,runisunemploymentrate.NDP=GDP?Wmin?Pmww?Bcc whereWminisminimumwage,Pmwwisthenumberofminimumwageworkers,BccisannualEducationPresenteducationlevel(EDL)ofapopulationcanbecalculatebyfollowingEDL=(Yave,s+Yexp,s)? whereYave,sis“expectedyearsofschooling”(Numberofyearsachildofschoolentranceagecanexpecttospendinagivenlevelofeducation)and“Meanyearsofschooling”(Averagenumberofcompletedyearsofeducationofapopulation[25yearsandolder]).EqualityGivenacontinuousprobabilitydistributionfunctionof epin(x),wherepin(x)dxisthefractionofthepopulationwith extox+dx,thentheGinicoefficient[4]ishalfoftherelativemeanabsoluteGse=1∫∞∫∞p(x)p(y)|x?y|dx 2μ?∞whereμisthemeanofthedistributionμ=∫∞xp(x)dxandthelowerlimitsofintegrationmayreplacedbyzerowhen esareEvaluationThefrequencyofwordsrelatedtothetopic“awell-beingsociety”intheSocialScienceResearchNetworkdatabase[5]effectivelyreflectstheimportanceoffactorscontributingtoasuccessfulsociety.Accordingtothewordfrequency,weallocatedifferentweightstothefactorsinourmodel.Tobettervisualizethemostconcernedfactors,wegeneratedawordcloudasshowninFig.2.Figure2:Wordcloud:thefigureshowsequalityisthemostconcernedTable1:ParametereAAnnualFamilye$ e$eChildcareBudget$Disposable e$Education$EthnicityExpectedYearsofFamilyChildcare$FamilyeFamilyeGiniCoefficientof MakingChildcarePaymentRateMaritalstatusMinimumGeO$$e$alSavingsePe SexRatioUnemploymente$eThroughtheyticalHierarchyProcess(AHP),wedefinetwosetsofweightswhencalculatingGDPIndexandHappinessrespectively.Startingfromthecriteriaofthehierarchyfigure(Fig.1),westructurecomparisonmatrixbyComparisonMethodof1-9[7].Then,wegettheweightsof efactor,educationfactorandequalityfactortoHappinessIndex,asisshowninTab.2.BycalculatingtheweightsofthreefactorsinhierarchyII,wegetthe umeigenvalueis3.0044,consistencyratioCR=0.0043,whichmeetsAHP’sconsistencyratiorequirement.CR≤0.1,weobtaintwosetofweights.Duetolimitationofpaperpage,otherpairwisecomparisonmatrixisnotappended.Finally,alltheweightsareshowninTab.3andTab.4.TheycanusedtoevaluateGDPIndexandHappinessIndexofPopulationTable2:ComparisonmatrixofhappinesshierarchyI-ee121561Table3:CriteriaweightsofhierarchyI-II Table4:CriteriaweightsofhierarchyII-AnnualFamilye eMinimumeealSavingse eeEducationChildcareEthnicityFamilyChildcareExpendituresGiniCoefficient eSexUnemploymentPopulationZero:PUMSDempgraphicsAndImmigrantsSelec-RandomSampleOf10000whichcontains aldataof1618489individuals,andcarryoutdatamining.Regardingthelimitationofcomputationalpower,yzingthewholedatasetisinconvenientandunnecessary.Instead,wegenerateasampleof10000immigrantstotallyrandomlyusingSAS,SQLServer.WesupposethateveryindividualhasanequalopportunitytobeselectedasamemberofPopulationZero.SelectionCriteriaAndTobuildapeaceful,cooperative,egalitariansocietyofUtopia:2100,weselectmembersofPopulationZeroundercertaincriteria.Webelievethatanidealsocietyshouldbebalancedandharmonic,whichcanbespecifiedas:Figure3:SelectionWedefineinnovatorsasindividualunder40andownbachelordegreesorhigher.SincePopulationZerowillmigratetoanewandundevelopedenvironment,innovationwillbevitaltohelpthemadapttotheuncertaintiesandchangeabilityintheMartianhabitation.Innovatorsshouldoutnumberproducers.Wesettheinnovator-to-producerratioas7:3.BuildingtheMartianhabitationneedskilledlabor.Wedefine”skilledlabor”asindividualsworkingformorethan35hoursperweek.Wehaveastrongpreferenceforskilledlaborwhenselectingmembers,thereforewesettheskilled-to-unskilledlaborratioasInordertoizethebirthrate,wesetthemale-femaleratioasexactlyToensurethestabilityofthesociety,werequirecitizenstomigratetogetherwiththeir.CitizenswillnotbeselectediftheirspousesarenoigibleforPopulationZeroProgram,childrenshouldmigratewiththeirdifferencessuchasethnicity,characteristics,andsexualorientationwillnotbeconsidered.Basedonthecriteria,weclassifythecandidatesandtagthemas4differenttypes,andthenselectapartic-ularnumberofeachtypetojointhePopulationOne.TheclassificationprocedureandthenumbersofeachtypearespecifiedinFig.3.Afterthisprocedure,wefilteroutthosecandidateswhosespousesarenotintheselectedPopulationZeroandcheckiftheirspousescantaketheplaceofanothercandidate.Ifnot,thethosecandidateswillbeComparisonBetweenPopulationZeroAndTheRandomInordertovalidateourselectioncriteria,wecomparethedemographicsoftherandomsampleandPop-ulationZero.WefindthatPopulationZero’sadvantagesareapparentinregardto e,educationandDemographicAsisshowinFig.4andFig.5,PopulationZerohasahigheraverageannual eandalowerstandarddeviationof46844.11dollars,comparedto52043.95oftherandomsample.Webelievethathigher andsmaller edifferencealleviateinequalityandincreasecitizens’happinesstoanextend.FromFig.6andFig.7,wecannotlahugedifferencebetweentherandomsampleandPopulationZero.Sinceworkinghourperweekcentersnear40hours/week,wefindthiscriterionunnecessary.PopulationZerohaveahigheraverageeducationlevel(showninFig.8andFig.9),sincewehaveastrongpreferenceforinnovators,whoownbachelordegreesorhigher. Figure4:Randomsample:distributionofannualFigure6:Randomsample:distributionofweeklyworkinghourFigure8:Randomsample:distributionofeduca-tionlevel
Figure5:PopulationZero:distributionofannualFigure7:PopulationZero:distributionofweeklyworkinghourFigure9:PopulationZero:distributionofeduca-tionlevel Figure10:Randomsample:distributionof Figure11:PopulationZero:distributionofIntermsofagedistribution,webelieveayoungergrouphaveastrongerabilitytoinnovateandrepro-duce,whichwillbeimportantfornewMarsresidents.PopulationZerohasanobviousadvantageoverrandomsample.Besides,Sexratioisadjustedtotheoptimal1:1toizeWedrawfunnelchartsandpyramidchartstoyzetheifgenderaffectseducationlevel.Wefindthatmalehavehigherdegreesingeneral,andtheselectedPopulationZeroshowlessdifferencebetweenmaleandfemaleregardingeducationlevel,whiakesmarriageeasierandimprovesequality.EvolutionModelandDynamicAswehavethoroughlydiscussedthemethodsandvariablestodescribethefeaturesofPopulationZero,weneedtoknowhowthesevariableschangewithtime.Therefore,adynamicevolutionmodelisrequired.ModelStructureandOverviewOfSampleHereresentteralalgorithmandasampleresultofone-hundred-yearevolutionshowninFig.12.OurmodelstartswiththePopulationZerodataandtheevolutionpartprovidesthesocialenvironmentfor .Thisevolutionmodelisclosetorealitybecauseitsimulatesalotofnaturalprocessincludingjob,marriage,education,etc.SystemswhichdescribeaforementionedprocessisdiscussedindetailinSecInthefiveyearsafterPopulationZero’sarrivalonMars,youngandunmarriedmigrantsgivebirthtochildren,whichcausesthe“boomergenerationI”(Fig.12(b),(g))andthepopulationgrows.However,afterthetenyears,thereisnonewlybornchild,meanwhilepartofmigrantspassaway.Therefore,thepopulationandGDPdecrease.Thesituationisgenerallygettingworseinthesixtyyears(Fig.12(a),(e)).Afterthat,mostmigrantsfromPopulationZeropassawayand“babyboomergenerationI”withitsecho”babyboomergenerationII-III”reachesarelativelystablestageofpopulationevolution(Fig.12(a),(g)).Afterapproximayyear60,populationandGDPstartedtorisewithfluctuation,accordingtoour200-yearevolutionsimulationresult.ApartfromthesampleresultsshownintheFig.12,ourmodelprovidesstatisticaldataoneducation,workinghoursandoccupationdistribution.Inaddition,thismodelenablesustokeeptrackonthemarriagerelationshipandfather(mother)-childrelationshipwhichishelpfulforfutureracialandgeneticresearch.AssumptionsandMathematicalExpressionForEachAfteroureffectiveselectionprocedure,PopulationZeroarenowpreparedtoconstructawholenewcityonMars.Wesimulatetheirevolutionby programming,andtestwhetherourselectioncriteriaaretrulybeneficialtotheirnewlifeonMars.OurmodelandsimulationarebasedonthefollowingResidentsonlydieoffnaturally.Foodsaresufficiently dandthereisnodiseasesandnaturalcatastrophewhichcausesdeathirregularly.Thedeathprobabilityasalogisticfunctionofageisdefinedasp=1/(1+exp(?0.15(x?70)))Everyemployedcitizenhastaxobligation.Wesettheunemploymentrateat5%accordingtotheestimationmethodproposedbyBlanchardetal(2010).[9]Toensurethewell-beingandequalityofthesociety,wedesignasocialsecuritysystem,whichrequirestheminimumannualwagetobe$5000.Socialrelieffundisofferedtonon-laborindividuals.Inouridealsituation,wealthisredistributedmoreequitablyamongty.Wesetthetaxrateat0.15,whichwillbeareasonablenumberaccordingtoManiquetand Figure12:Databasestructure,algorithmandasampleresultofthemodel.(a)populationofcertainkindofpeopleeachyear(AL=alive,D=deadult,M=male,F=female,W=peoplewhose eunderminimalwage);(b)sexratioofmale/femaleeachyear;(c)rateofunemployment(un),rehire(reh)andretire(ret)eachyear;(d)populationofnewlybornchildreneachyear;(e)GrossDomesticProduct(GDP)andNetDomesticProduct(NDP)eachyear;(f)GDPpercapitaeachyear;(g)histogramofagedistributionofPopulationZero(start)andpopulationafter100years(end);(h)Averagehappinessindexeachyear;All ’sinformationinPopulationZerocorre-spondstoa inreality(Datasource:[1]);Otherparameters:minimalwage5000$/year;Parentalleavepayis40000$/year;retirementageis65;rateofnaturalunemploymentis5%;NOmigrationfromearthafteryear0;Effectivefunctioningofthesocietyneedsactivelaborforce,retirementageis65inoursimulation.ReferringtoinformationprovidedbyNationalAcademyofSocialInsurance[11],webelieveitisParentalleaveisallowed.Parentswhohavenewly-bornchildrenaregrantedaone-yearleavewithasubsidyof40000dollars.BasedontheassumptionsandthenotationssysteminTask1,resentouralgorithmanditsmath-ematicalexpression.WedenotetheithindividualasPi.Everyindividualhas6attributes:individualIDnumberIDi,educationlevelSed,i,sexGi,ageAi,annual ePri,iandmaritalstatusSma,i.Wedefine6vectorstostoretheinformationofthelivingindividuals.Itisworthnotingthatthelengthofthevectorschangesaftereveryiterationwhenthepopulationchanges,whichwewillelaborateinSec5.5.Job ’sjobishisroleinsociety.Mostpeoplespenduptofortyormorehourseachweekinpaidem-ployment.Someexceptionsarenon-laborforcepopulationincludingchildren(under18),retirees(above65),andpeoplewithdisabilities.Laborpopulationiscomprisedofunemployed(witharaterreoffindingajobagain)andemployed(witharaterunoflosingjob)workforce.Unskilled(witharaterdisto disabled)andprofessionalaredefinedbytheirageandeducationandworkinghours.Thetypeofjobofeachemployeeand eisdeterminedbyhiseducationlevelandage.Specifically, eisdetermined bythefollowingfunctionI=rtex×Norm(NDPPmean,NDPPσ)×(1+SCHL?18)×(1.5?|A?35) NDPPmeanandNDPPσaremeanvalueandstandarddeviationofproductivitylastyear.Thisfunctionmodifiedifsomeoftheparametersareirrelevantinordertorunthiscomplexsimulationprogramquickeronour alcomputer.EducationIthasbeenarguedthathighratesofeducationareessentialforcountriestobeabletoachievehighlevelsofeconomicgrowth[12].Therefore,wegranteveryoneinourmodelequalaccesstoeducationopportunitiesnomattertheyarerichorpool,nomattertheyaremaleorfemale.However,wheretheyaregoingtoendtheireducationdependsontheir alexperience.Andweusenormaldistributiontodescribehisprobabilitytofinisheducationatdifferentstages.ThenormaldistributionisdeterminedbymeanvalueandstandarddeviationofEDL(SCHL)lastyear.MarriageItiswidelyquotedthat“l(fā)oveisachemicalreaction”.Inoursystem,westipulatethattheclosertwoindividualsofoppositesexesare,themorelikelythe“chemicalreaction”willoccur,andtheywillfoundamarriagerelationship.Wedefinethedistancebetweentwoindividualas√ dij (Ai?Aj)2+(Pri,i? Wegenerateanadjacentmatrixtorecordthedistancebetweenevery2individualsandinitializeapathmatrixtorecordmarriagerelationships.SupposetherearemmalesandnfemalesinPopulationZero.WhenamarriageoccursbetweeenPiandPj,theelementpijinmatrixPwill e1.WedefinethemarriageprobabilitybetweenamaleadultandafemaleadultasPrmar,ij=1? Wefindoutthe2individualsPiandPjwiththehighestpossibilitytogetmarried,turnpijinmatrixPto1andletPrmar,iq=0andPrmar,pj=0,where0≤mand0≤n.Inthenextiteration,therepeatthesamesteps.Underthismarriagemechanism,wesimulatetheprocesswith andourcodeisattachedintheAppendix.Weinputasampleof10000selectedmembersofPopulationZero,andwegettheresultafter100iterations,whichareinterpretedasa100-yearevolution.Tohaveaclearviewofmarriageandparenthoodrelationshipamongcitizens,resentanavisual-izationoffamilynetworkof40citizens(Fig.13).CitizenIDareshownasthenumberincircle.Apparently,marriagelinkagesarefarmoresparsethanparenthoodlinkages.Itmightbecausedbyourevolutionmechanism:inourmod
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