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Quasi-Local Competition in Stage-Structured Metapopulations: A New Mechanism of Pattern Formation

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Abstract

A central question of ecology is what determines the presence and abundance of species at different locations. In cases of ecological pattern formation, population sizes are largely determined by spatially distributed interactions and may have very little to do with the habitat template. We find pattern formation in a single-species metapopulation model with quasi-local competition, but only if the populations have (at least) two age or stage classes. Quasi-local competition is modeled using an explicit resource competition model with fast resource dynamics, and assuming that adults, but not juveniles, spend a fraction of their foraging time in habitat patches adjacent to their home patch. Pattern formation occurs if one stage class depletes the common resource but the shortage of resource affects mostly the other stage. When the two stages are spatially separated due to quasi-local competition, this results in competitive exclusion between the populations. We find deep similarity between spatial pattern formation and population cycles due to competitive exclusion between cohorts of biennial species, and discuss the differences between the present mechanism and established ways of pattern formation such as diffusive instability and distributed competition with local Allee-effects.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FIN-00014, Helsinki, Finland

    Margarete Utz & Éva Kisdi

  2. Department of Mathematics and Department of Zoology, University of British Columbia, 6270 University Boulevard, Vancouver, British Columbia, V6T 1Z4, Canada

    Michael Doebeli

Authors
  1. Margarete Utz
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  2. Éva Kisdi
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  3. Michael Doebeli
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Correspondence to Margarete Utz.

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Utz, M., Kisdi, É. & Doebeli, M. Quasi-Local Competition in Stage-Structured Metapopulations: A New Mechanism of Pattern Formation. Bull. Math. Biol. 69, 1649–1672 (2007). https://doi.org/10.1007/s11538-006-9184-7

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  • DOI: https://doi.org/10.1007/s11538-006-9184-7

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