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Competition during colonization vs competition after colonization in disturbed environments: A metapopulation approach
Authors:Ignacio Barradas  Hal Caswell  Joel E. Cohen
Affiliation:(1) Centro de Investigación en Matemáticas, Apdo. Postal 402, 36000 Guanajuato, México;(2) Rockefeller University, 1230 York Avenue, 10021-6399 New York, NY, U.S.A.;(3) Biology Department, Woods Hole Oceanographic Institution, 02543 Woods Hole, MA, U.S.A.;(4) Rockefeller University, 1230 York Avenue, 10021-6399 New York, NY, U.S.A.;(5) Columbia University, 10027 New York, NY, U.S.A.
Abstract:How two species interact during and after colonization influences which of them will be present in each stage of succession. In the tolerance model of ecological succession in a patchy environment, empty patches can be colonized by any species, but the ability to tolerate reduced resource levels determines which species will exclude the other. Here, we analyze a meta-population model of the possible roles of competition in colonization and succession, using non-linear Markov chains as a mathematical framework. Different kinds of competition affect the final equilibrial, abundances of the species involved in qualitatively different ways. An explicit criterion is given to determine which interactions have stronger effects on the final equilibrial levels of the weaker, species. Precise conditions are stated for the co-existence of both species. Both species are more likely to co-exist in the presence of an intermediate disturbance frequency.
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