@Article{Lion2009,
  Author         = {Lion, Sébastien},
  Title          = {Relatedness in spatially structured populations with
                   empty sites: an approach based on spatial moment
                   equations},
  Journal        = {Journal of theoretical Biology},
  doi            = {10.1016/j.jtbi.2009.05.035},
  Volume         = {260},
  Number         = {1},
  Pages          = {121-131},
  URL = {pub/Lion2009.pdf},
  abstract       = {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.},
  keywords       = {space, evolution of social traits},
  year           = {2009}
}