The Adaptive Dynamics Network at

WorkingPaperEvolutionofmixedmaturationstrategiesinsemelparouslifehistories:thecrucialroleofdimensionalityoffeedbackenvironmentMikkoHeino,J.A.J.Metz&VeijoKaitalaWP-96-126November1996IIASAInternationalInstituteforAppliedSystemsAnalysisA-2361LaxenburgAustriaTelephone:432236807Fax:[phone]E-Mail:[e-mail]tionstrategiesinsemelparouslifehistories:thecrucialroleofdimensionalityoffeedbackenvironmentMikkoHeino,J.A.J.Metz&VeijoKaitalaWP-96-126November1996WorkingPapersareinterimreportsonworkoftheInternationalInstituteforAppliedSystemsAnalysisandhavereceivedonlylimitedreview.ViewsoropinionsexpressedhereindonotnecessarilyrepresentthoseoftheInstitute,itsNationalMemberOrganizations,orotherorganizationssupportingthework.IIASAInternationalInstituteforAppliedSystemsAnalysisA-2361LaxenburgAustriaTelephone:432236807Fax:[phone]E-Mail:[e-mail]DYNAMICSNO.13ADNTheAdaptiveDynamicsNetworkatIIASAfostersthedevelopmentofnewmathematicalandconceptualtech-niquesforunderstandingtheevolutionofcomplexadaptivesystems.Focusingontheselong-termim-plicationsofadaptiveprocessesinsystemsoflimitedgrowth,theAdap-tiveDynamicsNetworkbringstogetherscientistsandinstitutionsfromaroundtheworldwithIIASAactingasthecentralnode.ScientificprogresswithinthenetworkisreportedintheIIASAStudiesinAdaptiveDynamicsseries.THEADAPTIVEDYNAMICSNETWORKThepivotalroleofevolutionarytheoryinlifesciencesderivesfromitscapabilitytoprovidecausalexplanationsforphenomenathatarehighlyimprobableinthephysicochemicalsense.Yet,untilrecently,manyfactsinbiologycouldnotbeaccountedforinthelightofevolution.Justasphysicistsforalongtimeignoredthepresenceofchaos,thesephenomenawerebasicallynotperceivedbybiologists.Twoexamplesillustratethisassertion.AlthoughDarwin’spublicationof“TheOri-ginofSpecies”sparkedoffthewholeevolutionaryrevolution,oddlyenough,thepopulationgeneticframeworkunderlyingthemodernsynthesisholdsnocluestospe-ciationevents.Asecondillustrationisthemorerecentlyappreciatedissueofjumpincreasesinbiologicalcomplexitythatresultfromtheaggregationofindividualsintomutualisticwholes.Theseandmanymoreproblemspossessacommonsource:theinteractionsofindividualsareboundtochangetheenvironmentstheseindividualslivein.Byclosingthefeedbackloopintheevolutionaryexplanation,anewmathematicaltheoryoftheevolutionofcomplexadaptivesystemsarises.Itisthisgeneraltheoreticaloptionthatliesatthecoreoftheemergingfieldofadaptivedynamics.Inconsequenceamajorpromiseofadaptivedynamicsstudiesistoelucidatethelong-termeffectsoftheinteractionsbetweenecologicalandevolutionaryprocesses.Acommitmenttointerfacingthetheorywithempiricalapplicationsisnecessarybothforvalidationandformanagementproblems.Forexample,empiricalevidenceindicatesthattocontrolpestsanddiseasesortoachievesustainableharvestingofrenewableresourcesevolutionarydeliberationisalreadycrucialonthetimescaleoftwodecades.TheAdaptiveDynamicsNetworkhasasitsprimaryobjectivethedevelopmentofmathematicaltoolsfortheanalysisofadaptivesystemsinsideandoutsidethebiologicalrealm.IIASASTUDIESINADAPTIVEDYNAMICSNo.1MetzJAJ,GeritzSAH,Mesz´enaG,JacobsFJA,vanHeerwaardenJS:AdaptiveDynamics:AGeometricalStudyoftheConsequencesofNearlyFaithfulReproduction.IIASAWorkingPaperWP-95-099.vanStrienSJ,VerduynLunelSM(eds.):StochasticandSpatialStructuresofDynamicalSystems,ProceedingsoftheRoyalDutchAcademyofScience(KNAWVerhandelingen),NorthHolland,Amsterdam,pp.183-231(1996).No.2DieckmannU,LawR:TheDynamicalTheoryofCoevolution:ADerivationfromStochasticEcologicalProcesses.IIASAWorkingPaperWP-96-001.JournalofMathematicalBiology(1996)34,579–612.No.3DieckmannU,MarrowP,LawR:EvolutionaryCyclingofPredator-PreyInteractions:PopulationDynamicsandtheRedQueen.JournalofTheoreticalBiology(1995)176,91–102.No.4MarrowP,DieckmannU,LawR:EvolutionaryDynamicsofPredator-PreySystems:AnEcologicalPerspective.IIASAWorkingPaperWP-96-002.JournalofMathematicalBiology(1996)34,556–578.No.5LawR,MarrowP,DieckmannU:OnEvolutionunderAsymmetricCompetition.IIASAWorkingPaperWP-96-003.EvolutionaryEcology(1997)11,485–501.No.6MetzJAJ,MyliusSD,DiekmannO:WhenDoesEvolutionOptimise?OntheRelationbetweenTypesofDensityDependenceandEvolutionarilyStableLifeHistoryParameters.IIASAWorkingPaperWP-96-004.No.7Ferri`ereR,GattoM:LyapunovExponentsandtheMathematicsofInvasioninOscillatoryorChaoticPopulations.TheoreticalPopulationBiology(1995)48,126–171.No.8Ferri`ereR,FoxGA:ChaosandEvolution.TrendsinEcologyandEvolution(1995)10,480–485.No.9Ferri`ereR,MichodRE:TheEvolutionofCooperationinSpatiallyHeterogeneousPopulations.IIASAWorkingPaperWP-96-029.AmericanNaturalist(1996)147,692–717.No.10VanDoorenTJM,MetzJAJ:DelayedMaturationinTemporallyStructuredPopulationswithNon-EquilibriumDynamics.IIASAWorkingPaperWP-96-070.JournalofEvolutionaryBiology(1997)inpress.No.11GeritzSAH,MetzJAJ,KisdiE,Mesz´enaG:TheDynamicsofAdaptationandEvolutionaryBranching.IIASAWorkingPaperWP-96-077.PhysicalReviewLetters(1997)78,2024–2027.No.12GeritzSAH,KisdiE,Mesz´enaG,MetzJAJ:EvolutionarilySingularStrategiesandtheAdaptiveGrowthandBranchingofth