Drift, draft and structure: some mathematical models of evolution

• Autorzy: Alison M. Etheridge
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60K35: Interacting random processes; statistical mechanics type models; percolation theory
• 60G52: Stable processes
• 92D10: Genetics
• 60G57: Random measures
• 92D15: Problems related to evolution
• 60G55: Point processes
• 92D40: Ecology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 80
• Numer: 1
• Strony: 121-144

Daty

wydano

2008

Twórcy

autor

Alison M. Etheridge

• Department of Statistics, University of Oxford, UK

Identyfikatory

DOI

10.4064/bc80-0-7