@Article{LionVanBaalen2007,
  Author         = {Lion, Sébastien and van Baalen, Minus},
  Title          = {From infanticide to parental care: why spatial
                   structure can help adults be good parents.},
  Journal        = {The American Naturalist},
  doi            = {10.1086/519462},
  Volume         = {170},
  Number         = {2},
  Pages          = {E26-E46},
  URL = {https://evolepid.cefe.cnrs.fr/pub/LionVanBaalen2007.pdf},
  keywords       = {space, evolution of social traits},
  Abstract       = {We investigate the evolution of parental care and
                   cannibalism in a spatially structured population where
                   adults can either help or kill juveniles in their
                   neighborhood. We show that spatial structure can
                   reverse the selective pressures on adult behavior,
                   leading to the evolution of parental care, whereas the
                   nonspatial model predicts that cannibalism is the sole
                   evolutionary outcome. Our analysis emphasizes that
                   evolution of such spatially structured populations is
                   best understood at the level of the cluster of invading
                   mutants, and we define invasion fitness as the growth
                   rate of that cluster. We derive an analytical
                   expression for the selective pressures on the trait and
                   show that relatedness and Hamilton's rule are recovered
                   as emergent properties of the spatial ecological
                   dynamics. When adults can also help other adults, the
                   benefits to each class of recipients are weighted by
                   the class reproductive value, a result consistent with
                   that of other models of kin selection. Finally, we
                   advocate a different approach to moment equations and
                   argue that even though the development of moment
                   closure approximations is a necessary line of research,
                   much-needed ecological and evolutionary insight can be
                   gained by studying the unclosed moment equations.},
  year           = {2007}
}