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Evolution of Dispersal in Patchy Habitats

Noble, Laine
http://orcid.org/0000-0002-2092-2817
http://rave.ohiolink.edu/etdc/view?acc_num=osu1448878039

Abstract Details

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.
Mathematics
Ideal free distribution; evolution of dispersal; evolutionarily stable strategy; convergent stable strategy

Recommended Citations

Citations

  • Noble, L. (2015). Evolution of Dispersal in Patchy Habitats [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1448878039

    APA Style (7th edition)

  • Noble, Laine. Evolution of Dispersal in Patchy Habitats. 2015. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1448878039.

    MLA Style (8th edition)

  • Noble, Laine. "Evolution of Dispersal in Patchy Habitats." Doctoral dissertation, Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1448878039

    Chicago Manual of Style (17th edition)

osu1448878039
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This open access ETD is published by The Ohio State University and OhioLINK.