Drift, draft and structure: some mathematical models of evolution

Volume 80 / 2008

Alison M. Etheridge Banach Center Publications 80 (2008), 121-144 MSC: Primary 60K35, 92D10, 92D15, 92D40; Secondary 60G52, 60G55, 60G57. DOI: 10.4064/bc80-0-7


Understanding the evolution of individuals which live in a structured and fluctuating environment is of central importance in mathematical population genetics. Here we outline some of the mathematical challenges arising from modelling structured populations, primarily focussing on the interplay between forwards in time models for the evolution of the population and backwards in time models for the genealogical trees relating individuals in a sample from that population. In addition to classical models we describe a special case of a new model introduced in very recent work with Nick Barton. A number of directions for future research are suggested.


  • Alison M. EtheridgeDepartment of Statistics
    University of Oxford

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