Artículo de revista
Evolution of dispersal distance
Fecha
2012Registro en:
J. Math. Biol. (2012) 64:657–666
DOI 10.1007/s00285-011-0444-2
Autor
Durrett, Rick
Remenik Zisis, Daniel
Institución
Resumen
The problem of how often to disperse in a randomly fluctuating
environment has long been investigated, primarily using patch models with uniform
dispersal. Here, we consider the problem of choice of seed size for plants in a stable
environment when there is a trade off between survivability and dispersal range.
Ezoe (J Theor Biol 190:287–293, 1998) and Levin and Muller-Landau (Evol Ecol
Res 2:409–435, 2000) approached this problem using models that were essentially
deterministic, and used calculus to find optimal dispersal parameters. Here we follow
Hiebeler (Theor Pop Biol 66:205–218, 2004) and use a stochastic spatial model to
study the competition of different dispersal strategies. Most work on such systems is
done by simulation or nonrigorous methods such as pair approximation. Here, we use
machinery developed by Cox et al. (Voter model perturbations and reaction diffusion
equations 2011) to rigorously and explicitly compute evolutionarily stable strategies.