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Parameter variability can produce heavy tails in a model for the spatial distribution of settling organisms

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  • Gordillo, Luis F.
  • Greenwood, Priscilla E.

Abstract

We show that a simple mechanistic model of spatial dispersal for settling organisms, subject to parameter variability, can generate heavy-tailed radial probability density functions. The movement of organisms in the model consists of a two-dimensional diffusion that ceases after a random time, where the parameters that characterize each of these stages have been randomized. Our findings show that these minimal assumptions can yield heavy-tailed dispersal patterns, providing a simplified framework that increases the understanding of long-distance dispersal events in movement ecology.

Suggested Citation

  • Gordillo, Luis F. & Greenwood, Priscilla E., 2026. "Parameter variability can produce heavy tails in a model for the spatial distribution of settling organisms," Theoretical Population Biology, Elsevier, vol. 171(C), pages 42-46.
    • Handle: RePEc:eee:thpobi:v:171:y:2026:i:c:p:42-46
    DOI: 10.1016/j.tpb.2026.06.008
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