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1、NetworkDynamicsTomA.B.SnijdersyMay25,2011ADYNAMICAPPROACHTONETWORKANALYSISDynamicideashavebeenpursuedinmuchofSocialNetworkAnalysis.Networkdynamicsisimportantfordomainsrangingfromfriendshipnetworks(e.g.,PearsonandWest,2003;Burk,etal.,2007)to,forexample,inter-organizationalnetworks(seethereviewa
2、rticlesBorgattiandFoster,2003;Brassetal.,2004).However,formalmodelsofanalysis,bothinthetraditionofdiscretemathematicsandinthetraditionofstatisticalinference,haveforalongtimefocusedmainlyonsingle(i.e.,cross-sectional)methodsofanalysis.Somehistory:empiricalresearchImportantearlylongitudinalnetwor
3、kstudieswerethosebyNordlie(1958)andNewcomb(1961)whostudiedfriendshipsinacollegefraternitybasedontheempiricaldatacollected;Coleman’s(1961)AdolescentSocietystudywithfriendshipdatain10schoolsand9,702individuals;Kapferer’s(1972)studyofobservedinteractionsinatailorshopinZambia(thenNorthernRhodesia)o
4、veraperiodoftenmonths,inaperiodofindustrialconflict;Sampson’s(1969)Ph.D.dissertationonthedevelopmentsoftherelationsinagroupof18monksinamonastery;andthestudybyHallinanwithsevenPreprintofChapter33(pp.501–513)inSageHandbookonSocialNetworkAnalysis,editedbyJohnScottandPeterJ.Carrington.Sage,2011.yUn
5、iversityofOxfordandUniversityofGroningen1waves(seeHallinan,1974,1979andSørensenandHallinan,1976).However,attentionbeforeabout1990wasmostlyonsingleobservationsofnetworks.OfthetwentydatasetsdistributedwiththeUcinetpackage(Borgattietal.,1998),onlythreeprovidelongitudinaldata:Kapferer’sTaylorShop,N
6、ewcomb’sFraternity,andSampson’sMonastery.TheleadingtextbookonSocialNetworkAnalysis,WassermanandFaust(1994),hasasectionofhalfapageonDynamicandLongitudinalNetworkModels.ThelimitedamountofattentionpaidtoexplicitlongitudinaltreatmentofSocialNetworkAnalysismaybeunderstoodfromthedifficultiesofcollecti
7、ngnetworkdatawhicharemultipliedwhenaresearcherwishestocollectthemlongitudinally;andfromthedifficultiesinexplicitlymodellingthedynamicsofsocialnetworks.Startinginthe1980s,networkpaneldatastartedtobecollectedmorewidely.Paneldataareda