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Evolution of Dispersal in Patchy Habitats
Noble, Laine

2015, Doctor of Philosophy, Ohio State University, Mathematics.
We investigate whether a dispersal strategy resulting in ideal free distribution (“IFD strategy”) is convergent stable. Species compete using fixed dispersal strategies in a patchy habitat with spatially varying but temporally constant carrying capacities. Population growth in each patch is governed by a function which is assumed only to be monotone decreasing and differentiable. For two-patch habitat, we give a complete description of outcomes when any two strategies compete. We show that there is selection toward IFD strategy, but such a strategy is not convergent stable because selection may be disrupted by emergence of a joint IFD between two species. We show also that IFD strategy is not convergent stable in an n-patch habitat. We derive some extensions of the model to allow for species-specific carrying capacities and analyze those extensions in the context of unconditional dispersal in a two-patch habitat. We present some numerical results for the case of time-periodic carrying capacities.
Yuan Lou (Advisor)
140 p.

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Noble, L. (2015). Evolution of Dispersal in Patchy Habitats. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Noble, Laine. "Evolution of Dispersal in Patchy Habitats." Electronic Thesis or Dissertation. Ohio State University, 2015. OhioLINK Electronic Theses and Dissertations Center. 23 Nov 2017.

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Noble, Laine "Evolution of Dispersal in Patchy Habitats." Electronic Thesis or Dissertation. Ohio State University, 2015. https://etd.ohiolink.edu/

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