The evolution of a population under recombination: how to linearise the dynamics

A - Papers appearing in refereed journals

Dawson, K. J. 2002. The evolution of a population under recombination: how to linearise the dynamics. Linear Algebra and its Applications. 348 (1-3), pp. 115-137. https://doi.org/10.1016/S0024-3795(01)00586-9

AuthorsDawson, K. J.
Abstract

A system of recursions is derived for the dynamics of an infinitely large population, evolving under a very general process of recombination, whereby an individual can inherit genes from an arbitrary number of parents, sampled independently from the population in the proceeding generation. In general, the number of parents sampled is itself a random variable.

A procedure is presented for linearising this system of recursions. This generalises the linearisation procedure introduced by Bennett, for the dynamics of an infinite population where offspring are the product of two parents sampled independently from the population.

KeywordsBennett's principal components; Linkage disequilibrium; Population genetics; Random mating; Recombination
Year of Publication2002
JournalLinear Algebra and its Applications
Journal citation348 (1-3), pp. 115-137
Digital Object Identifier (DOI)https://doi.org/10.1016/S0024-3795(01)00586-9
Open accessPublished as bronze (free) open access
Funder project or code433
508
Publisher's version
Copyright license
Publisher copyright
Output statusPublished
Publication dates
Print15 Jun 2002
Publication process dates
Accepted05 Nov 2001
ISSN0024-3795
PublisherElsevier Science Inc

Permalink - https://repository.rothamsted.ac.uk/item/88y43/the-evolution-of-a-population-under-recombination-how-to-linearise-the-dynamics

59 total views
58 total downloads
0 views this month
0 downloads this month
Download files as zip