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Some Mathematical Models from Population Genetics

Name: Some Mathematical Models from Population Genetics
Brand: Springer
SKU: 04416673
Price: 50.69 EUR
Availability: InStock
Author: Etheridge
ISBN: 9783642166310

Etheridge

Language

English

Book Paperback

Libristo code: 04416673

Publishers Springer, January 2011

This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer sch... Full description

Libristo code: 04416673

124 b

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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.