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The limitation of species range: A consequence of searching along resource gradients

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  • Rowell, Jonathan T.

Abstract

Ecological modelers have long puzzled over the spatial distribution of species. The random walk or diffusive approach to dispersal has yielded important results for biology and mathematics, yet it has been inadequate in explaining all phenomenological features. Ranges can terminate non-smoothly absent a complementary shift in the characteristics of the environment. Also unexplained is the absence of a species from nearby areas of adequate, or even abundant, resources. In this paper, I show how local searching behavior–keyed to a density-dependent fitness–can limit the speed and extent of a species’ spread. In contrast to standard diffusive processes, pseudo-rational movement facilitates the clustering of populations. It also can be used to estimate the speed of an expanding population range, explain expansion stall, and provides a mechanism by which a population can colonize seemingly removed regions — biogeographic islands in a continental framework. Finally, I discuss the effect of resource degradation and different resource impact/utilization curves on the model.

Suggested Citation

  • Rowell, Jonathan T., 2009. "The limitation of species range: A consequence of searching along resource gradients," Theoretical Population Biology, Elsevier, vol. 75(2), pages 216-227.
    • Handle: RePEc:eee:thpobi:v:75:y:2009:i:2:p:216-227
    DOI: 10.1016/j.tpb.2009.03.001
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    References listed on IDEAS

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    1. Křivan, Vlastimil & Cressman, Ross & Schneider, Candace, 2008. "The ideal free distribution: A review and synthesis of the game-theoretic perspective," Theoretical Population Biology, Elsevier, vol. 73(3), pages 403-425.
    2. Terry L. Root & Jeff T. Price & Kimberly R. Hall & Stephen H. Schneider & Cynthia Rosenzweig & J. Alan Pounds, 2003. "Fingerprints of global warming on wild animals and plants," Nature, Nature, vol. 421(6918), pages 57-60, January.
    3. Camille Parmesan & Gary Yohe, 2003. "A globally coherent fingerprint of climate change impacts across natural systems," Nature, Nature, vol. 421(6918), pages 37-42, January.
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