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Evolution of conditional dispersal: a reaction-diffusion-advection approach

Hambrock, Richard
http://rave.ohiolink.edu/etdc/view?acc_num=osu1195685356

Abstract Details

2007, Doctor of Philosophy, Ohio State University, Mathematics.
We study the evolution of conditional dispersal using a Lotka-Volterra reaction-diffusion-advection model for two competing species in a nonhomogeneous, temporally constant environment. We assume that the two species are identical except for their dispersal strategies. Both species employ random diffusion combined with advection upward along resource gradients. We use a perturbation argument to understand the evolution of these rates. When the advection rates are small relative to the diffusion rates, we find that stronger advection is preferred. However, when the advection rates are large relative to the diffusion rates, we find that weaker advection is preferred. We also studied the case where the two species have differing strategies, one with a very strong biased movement relative to diffusion, and the other with a more balanced approach. If the advection rate of the latter is small, the two species can coexist. But if its advection rate increases sufficiently, the second species drives the first to extinction. So we see in these results a preference against overly strong advection and in favor of a more balanced strategy, suggesting the existence of an optimal intermediate rate.
Yuan Lou (Advisor)
Biology, Ecology; Mathematics
Evolution of dispersal; reaction-diffusion-advection; competition; coexistence; extinction; Lotka-Volterra; heterogenous environoments

Recommended Citations

Citations

  • Hambrock, R. (2007). Evolution of conditional dispersal: a reaction-diffusion-advection approach [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1195685356

    APA Style (7th edition)

  • Hambrock, Richard. Evolution of conditional dispersal: a reaction-diffusion-advection approach. 2007. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1195685356.

    MLA Style (8th edition)

  • Hambrock, Richard. "Evolution of conditional dispersal: a reaction-diffusion-advection approach." Doctoral dissertation, Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=osu1195685356

    Chicago Manual of Style (17th edition)

osu1195685356
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© 2007, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.