The effect of dispersal area on the extinction threshold

R'obert Juh'asz,Igor D. Kov'acs,Be'ata Oborny

Published 2025 in Ecological Modelling

ABSTRACT

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 $\lambda_E(A)$. Our results revealed a consistent $\lambda_E(A)$ relationship, largely independent of lattice geometry (except for the smallest $A$). This $\lambda_E(A)$ 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.

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