arXiv Open Access 2025

The effect of dispersal area on the extinction threshold

Róbert Juhász Igor D. Kovács Beáta Oborny
Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

Penulis (3)

R

Róbert Juhász

I

Igor D. Kovács

B

Beáta Oborny

Format Sitasi

Juhász, R., Kovács, I.D., Oborny, B. (2025). The effect of dispersal area on the extinction threshold. https://arxiv.org/abs/2512.22506

Akses Cepat

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Tahun Terbit
2025
Bahasa
en
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arXiv
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Open Access ✓