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.
Read Online or Download Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009 (Lecture Notes in Mathematics) PDF
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