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Some Mathematical Models from Population Genetics : Ecole d'Ete de Probabilit...
- Item No : 357375863144
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- Some Mathematical Models from Population Genetics : Ecole d'Ete de Probabilites de Saint-Flour XXXIX-2009, Paperback by Etheridge, Alison, ISBN 3642166318, ISBN-13 9783642166310, Like New Used, Free shipping in the US
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.
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