By Alison Etheridge

This paintings displays 16 hours of lectures brought through the writer on the 2009 St Flour summer season university in likelihood. It offers a fast creation to a variety of mathematical types that experience their origins in theoretical inhabitants genetics. The versions fall into sessions: forwards in time versions for the evolution of frequencies of alternative genetic forms in a inhabitants; and backwards in time (coalescent) versions that hint out the genealogical relationships among members in a pattern from the inhabitants. a few, just like the classical Wright-Fisher version, date correct again to the origins of the topic. Others, just like the a number of merger coalescents or the spatial Lambda-Fleming-Viot procedure are even more fresh. All percentage a wealthy mathematical constitution. organic phrases are defined, the versions are rigorously encouraged and instruments for his or her learn are offered systematically.

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