Hamilton's inclusive fitness in finite-structured populations

Publication Date

5-19-2014

Document Type

Article

Publication Title

Philosophical Transactions of the Royal Society Series B

Volume

369

Issue

1642

DOI

10.1098/rstb.2013.0360

Abstract

Hamilton's formulation of inclusive fitness has been with us for 50 years. During the first 20 of those years attention was largely focused on the evolutionary trajectories of different behaviours, but over the past 20 years interest has been growing in the effect of population structure on the evolution of behaviour and that is our focus here. We discuss the evolutionary journey of the inclusive-fitness effect over this epoch, nurtured as it was in an essentially homogeneous environment (that of ‘transitive’ structures) having to adapt in different ways to meet the expectations of heterogeneous structures. We pay particular attention to the way in which the theory has managed to adapt the original constructs of relatedness and reproductive value to provide a formulation of inclusive fitness that captures a precise measure of allele-frequency change in finite-structured populations.

Keywords

relatedness, heterogeneous populations, reproductive value, allele frequency, class structure

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Department

Mathematics and Statistics

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