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Modeling the dispersal–reproduction trade-off in an expanding population

Author

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  • Marculis, Nathan G.
  • Evenden, Maya L.
  • Lewis, Mark A.

Abstract

Trade-offs between dispersal and reproduction are known to be important drivers of population dynamics, but their direct influence on the spreading speed of a population is not well understood. Using integrodifference equations, we develop a model that incorporates a dispersal–reproduction trade-off which allows for a variety of different shaped trade-off curves. We show there is a unique reproductive-dispersal allocation that gives the largest value for the spreading speed and calculate the sensitivities of the reproduction, dispersal, and trade-off shape parameters. Uncertainty in the model parameters affects the expected spread of the population and we calculate the optimal allocation of resources to dispersal that maximizes the expected spreading speed. Higher allocation to dispersal arises from uncertainty in the reproduction parameter or the shape of the reproduction trade-off curve. Lower allocation to dispersal arises from uncertainty in the shape of the dispersal trade-off curve, but does not come from uncertainty in the dispersal parameter. Our findings give insight into how parameter sensitivity and uncertainty influence the spreading speed of a population with a dispersal–reproduction trade-off.

Suggested Citation

  • Marculis, Nathan G. & Evenden, Maya L. & Lewis, Mark A., 2020. "Modeling the dispersal–reproduction trade-off in an expanding population," Theoretical Population Biology, Elsevier, vol. 134(C), pages 147-159.
    • Handle: RePEc:eee:thpobi:v:134:y:2020:i:c:p:147-159
    DOI: 10.1016/j.tpb.2020.03.003
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    References listed on IDEAS

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    1. Charlotte Récapet & Pierre Bize & Blandine Doligez, 2017. "Food availability modulates differences in parental effort between dispersing and philopatric birds," Behavioral Ecology, International Society for Behavioral Ecology, vol. 28(3), pages 688-697.
    2. Ellner, Stephen P. & Schreiber, Sebastian J., 2012. "Temporally variable dispersal and demography can accelerate the spread of invading species," Theoretical Population Biology, Elsevier, vol. 82(4), pages 283-298.
    3. Carola A. Schmidt-Wellenburg & G. Henk Visser & Brigitte Biebach & Kaspar Delhey & Martina Oltrogge & Andrea Wittenzellner & Herbert Biebach & Bart Kempenaers, 2008. "Trade-off between migration and reproduction: does a high workload affect body condition and reproductive state?," Behavioral Ecology, International Society for Behavioral Ecology, vol. 19(6), pages 1351-1360.
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