Parameter variability can produce heavy tails in a model for the spatial distribution of settling organisms
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915504578363392 |
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| author | Gordillo, Luis F. Greenwood, Priscilla E. |
| author_facet | Gordillo, Luis F. Greenwood, Priscilla E. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16385 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parameter variability can produce heavy tails in a model for the spatial distribution of settling organisms Gordillo, Luis F. Greenwood, Priscilla E. Populations and Evolution Applications 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. |
| title | Parameter variability can produce heavy tails in a model for the spatial distribution of settling organisms |
| topic | Populations and Evolution Applications |
| url | https://arxiv.org/abs/2509.16385 |