02687nam 2200553 a 450 991048418880332120200520144314.09783642166327364216632610.1007/978-3-642-16632-7(CKB)2670000000065010(SSID)ssj0000476703(PQKBManifestationID)11284253(PQKBTitleCode)TC0000476703(PQKBWorkID)10479992(PQKB)11272166(DE-He213)978-3-642-16632-7(MiAaPQ)EBC3066275(PPN)149908148(EXLCZ)99267000000006501020110202d2011 uy 0engurnn#008mamaatxtccrSome mathematical models from population genetics Ecole d'Ete de Probabilites de Saint-Flour XXXIX-20091st ed. 2011.Heidelberg Springer20111 online resource (VIII, 119 p. 15 illus.)Lecture notes in mathematics,0075-8434, 1617-9692 ;2012Bibliographic Level Mode of Issuance: Monograph9783642166310 3642166318 Includes bibliographical references and index.This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically.Lecture notes in mathematics (Springer-Verlag) ;2012.Population geneticsMathematical modelsPopulation geneticsMathematical models.576.58015118Etheridge Alison60921Ecole d'été de probabilités de Saint-FlourMiAaPQMiAaPQMiAaPQBOOK9910484188803321Some mathematical models from population genetics261771UNINA