title: Clustering determines who survives for competing Brownian and Lévy walkers.
abstract: The competition between two ecologically similar species that use the same resources and differ from each other only in the type of spatial motion they undergo is studied. The latter is assumed to be described either by Brownian motion or Lévy flights. Competition is taken into account by assuming that individuals reproduce in a density-dependent fashion. It is observed that no influence of the type of motion occurs when the two species are in a well-mixed unstructured state. However, as soon as the species develop spatial clustering, the one forming more concentrated clusters gets a competitive advantage and eliminates the other. A similar competitive advantage would occur between walkers of the same type but with different diffusivities if this leads also to different clustering. The coexistence of both species is also possible under certain conditions.
authors.affiliation: Niels Bohr International Academy, Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark.
authors.forename: Els
authors.initials: E
authors.lastname: Heinsalu
authors.forename: Emilio
authors.initials: E
authors.lastname: Hernández-Garcia
authors.forename: Cristóbal
authors.initials: C
authors.lastname: López
mesh_terms: D016000:Cluster Analysis; D004058:Diffusion; D004463:Ecology; D008954:Models, Biological; D009038:Motion; D011157:Population Dynamics