The effect of dispersal area on the extinction threshold
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909979629322240 |
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| author | Juhász, Róbert Kovács, Igor D. Oborny, Beáta |
| author_facet | Juhász, Róbert Kovács, Igor D. Oborny, Beáta |
| contents | The survival of populations hinges on their ability to offset local extinctions through new colonizations. The dispersal area ($A$) plays a crucial role in this process, as it determines the probability of finding colonizable vacant sites. We investigated the spatial colonization-extinction dynamics in a lattice model (a contact process), exploring various finite dispersal areas and estimating the extinction threshold $λ_E(A)$. Our results revealed a consistent $λ_E(A)$ relationship, largely independent of lattice geometry (except for the smallest $A$). This $λ_E(A)$ relationship obeyed universal scaling laws within two broad ranges of $A$. The scaling relations suggest considerable selection upon the increase of dispersal area, particularly at low $A$ values. We discuss these findings in the broader context of the evolution of dispersal area. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The effect of dispersal area on the extinction threshold Juhász, Róbert Kovács, Igor D. Oborny, Beáta Populations and Evolution The survival of populations hinges on their ability to offset local extinctions through new colonizations. The dispersal area ($A$) plays a crucial role in this process, as it determines the probability of finding colonizable vacant sites. We investigated the spatial colonization-extinction dynamics in a lattice model (a contact process), exploring various finite dispersal areas and estimating the extinction threshold $λ_E(A)$. Our results revealed a consistent $λ_E(A)$ relationship, largely independent of lattice geometry (except for the smallest $A$). This $λ_E(A)$ relationship obeyed universal scaling laws within two broad ranges of $A$. The scaling relations suggest considerable selection upon the increase of dispersal area, particularly at low $A$ values. We discuss these findings in the broader context of the evolution of dispersal area. |
| title | The effect of dispersal area on the extinction threshold |
| topic | Populations and Evolution |
| url | https://arxiv.org/abs/2512.22506 |