Relatedness in spatially structured populations with empty sites: An approach based on spatial moment equations

JOURNAL OF THEORETICAL BIOLOGY

卷:260

Article

Lion, Sebastien¹ 

[1] Univ Amsterdam, Inst Biodivers & Ecosyst Dynam, NL-1090 GB Amsterdam, Netherlands

关键词: Kin selection;    Demography;    Habitat saturation;    Contact process;    Pair approximation;    Triple approximation;    Moment closure;    Population viscosity;   

DOI  :  10.1016/j.jtbi.2009.05.035

来源: Elsevier

【 摘 要 】

Taking into account the interplay between spatial ecological dynamics and selection is a major challenge in evolutionary ecology. Although inclusive fitness theory has proven to be a very useful tool to unravel the interactions between spatial genetic structuring and selection, applications of the theory usually rely on simplifying demographic assumptions. In this paper, I attempt to bridge the gap between spatial demographic models and kin selection models by providing a method to compute approximations for relatedness coefficients in a spatial model with empty sites. Using spatial moment equations, I provide an approximation of nearest-neighbour relatedness on random regular networks, and show that this approximation performs much better than the ordinary pair approximation. I discuss the connection between the relatedness coefficients I define and those used in population genetics, and sketch some potential extensions of the theory. (C) 2009 Elsevier Ltd. All rights reserved.

【 授权许可】

Free