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Beyond diffusion: Modelling local and long-distance dispersal for organisms exhibiting intensive and extensive search modes

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  • Tyson, R.C.
  • Wilson, J.B.
  • Lane, W.D.

Abstract

The distribution of foragers on the landscape has important consequences to, for example, the spread rate of an invasive species or the outcrossing levels between neighbouring crops. Since forager distribution can be difficult to measure directly, mathematical models are often used to predict the population density of dispersing foragers on the landscape. We model organism movement using a diffusion framework in which the foraging population is divided into two subpopulations engaged in intensive and extensive search modes respectively. Movement in the intensive search mode (ISM) is modeled by diffusion, and movement in the extensive search mode (ESM) is modeled by advection. We show that our model provides a superior fit to organism movement data than more traditional diffusion or diffusion-advection models in which the forager population is considered homogeneous. Our results have implications for the understanding of dispersal in a wide variety of applications.

Suggested Citation

  • Tyson, R.C. & Wilson, J.B. & Lane, W.D., 2011. "Beyond diffusion: Modelling local and long-distance dispersal for organisms exhibiting intensive and extensive search modes," Theoretical Population Biology, Elsevier, vol. 79(3), pages 70-81.
    • Handle: RePEc:eee:thpobi:v:79:y:2011:i:3:p:70-81
    DOI: 10.1016/j.tpb.2010.11.002
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    References listed on IDEAS

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    1. Tyson, Rebecca & Thistlewood, Howard & Judd, Gary J.R., 2007. "Modelling dispersal of sterile male codling moths, Cydia pomonella, across orchard boundaries," Ecological Modelling, Elsevier, vol. 205(1), pages 1-12.
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    Cited by:

    1. Martin Ward, 2016. "Action against pest spread—the case for retrospective analysis with a focus on timing," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 8(1), pages 77-81, February.
    2. Tyson, Rebecca C. & Wilson, J. Ben & Lane, W. David, 2011. "A mechanistic model to predict transgenic seed contamination in bee-pollinated crops validated in an apple orchard," Ecological Modelling, Elsevier, vol. 222(13), pages 2084-2092.
    3. Capera-Aragones, Pau & Foxall, Eric & Tyson, Rebecca C., 2022. "Nutritionally rich wildflower patches adjacent to nutritionally deficient crops significantly increase pollination services," Ecological Modelling, Elsevier, vol. 468(C).
    4. Carturan, Bruno S. & Siewe, Nourridine & Cobbold, Christina A. & Tyson, Rebecca C., 2023. "Bumble bee pollination and the wildflower/crop trade-off: When do wildflower enhancements improve crop yield?," Ecological Modelling, Elsevier, vol. 484(C).
    5. Martin Ward, 2016. "Action against pest spread—the case for retrospective analysis with a focus on timing," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 8(1), pages 77-81, February.

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