Decompositions of Price's formula in an inhomogeneous population structure.

Abstract:

:The central tool for the study of allele frequency change due to selection is the remarkably simple but powerful formula of Price [Nature 227 (1970) 520]. Here, I provide what might be called a structural analysis of this formula. The formula essentially accumulates the average allele frequency change over many instances of a fitness-determining interaction, but there are different ways of organizing this average and these lead to quite different computational algorithms. I present three of these: an analysis by population state, an analysis by recipient and an analysis by actor. A comparison of these can lead to a heightened understanding of the different factors behind selective allele frequency change. In particular, I pay attention to the effects of structural inhomogeneity on reproductive value (RV) and emphasize that Price's formula measures RV-weighted allele frequency change. I examine in detail a simple example as a crucial way of cementing the different theoretical pathways. My aim was to produce a simple transparent presentation and therefore I work with a simple population structure and have omitted a number of technical details that are found elsewhere.

journal_name

J Evol Biol

authors

Taylor P

doi

10.1111/j.1420-9101.2008.01640.x

subject

Has Abstract

pub_date

2009-01-01 00:00:00

pages

201-13

issue

1

eissn

1010-061X

issn

1420-9101

pii

JEB1640

journal_volume

22

pub_type

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