Volume 101, Number 1, January 2013
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||22 January 2013|
Fixation-coexistence transition in spatial populations
1 DISAT and Center for Computational Sciences, Politecnico di Torino - Corso Duca degli Abruzzi 24, I-10129 Torino, Italy, EU
2 Collegio Carlo Alberto - Via Real Collegio 30, I-10024 Moncalieri, Italy, EU
3 Santa Fe Institute - 1399 Hyde Park Road, Santa Fe, NM 87501, USA
4 Dipartimento di Biologia Evolutiva e Funzionale, Università degli Studi di Parma Parco Area delle Scienze 11/A, I-43124 Parma, Italy, EU
Received: 14 July 2012
Accepted: 20 December 2012
Balancing selection is a special case of frequency-dependent selection that is known to be the major force for the maintenance of biodiversity and polymorphism in natural populations. In finite populations, genetic drift eventually drives the population to fixation to the detriment of biodiversity. The interplay between selection and genetic drift is much richer in spatially extended populations, where the local density of individuals can be low even in the limit of infinitely large systems. We consider the limit of low local density of individuals (strong genetic drift) that is well represented by a modified voter model. We show analytically the existence of a non-equilibrium phase transition between a region in which fixation always occurs and a coexistence phase for a one-dimensional system. We also provide a characterization of the dynamical properties of the system, in particular for what concerns the coarsening behavior and the speed of propagation of heterozygosity above the threshold.
PACS: 87.10.Mn – Stochastic modeling / 87.18.Tt – Noise in biological systems / 87.23.Cc – Population dynamics and ecological pattern formation
© EPLA, 2013
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