2012
DOI: 10.1103/physreve.86.041104
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Robustness against extinction by stochastic sex determination in small populations

Abstract: Sexually reproducing populations with a small number of individuals may go extinct by stochastic fluctuations in sex determination, causing all their members to become male or female in a generation. In this work we calculate the time to extinction of isolated populations with fixed number N of individuals that are updated according to the Moran birth and death process. At each time step, one individual is randomly selected and replaced by its offspring resulting from mating with another individual of the oppo… Show more

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Cited by 2 publications
(2 citation statements)
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References 32 publications
(43 reference statements)
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“…Quantities not changing in time give powerful insights in the understanding of dynamical problems. In the absence of restrictions in reproduction, allele frequencies pA and pB remain constant and this property characterizes the equilibrium (20)(21)(22)(23). Surprisingly, the dynamics under genetic restrictions has also a conserved quantity that, being different from the frequencies of the alleles, allows for a complete description of the dynamics and the equilibria.…”
Section: Conserved Quantitiesmentioning
confidence: 99%
See 1 more Smart Citation
“…Quantities not changing in time give powerful insights in the understanding of dynamical problems. In the absence of restrictions in reproduction, allele frequencies pA and pB remain constant and this property characterizes the equilibrium (20)(21)(22)(23). Surprisingly, the dynamics under genetic restrictions has also a conserved quantity that, being different from the frequencies of the alleles, allows for a complete description of the dynamics and the equilibria.…”
Section: Conserved Quantitiesmentioning
confidence: 99%
“…To construct a dynamical theory that accounts for the predictions of the model described in [13] and other similar models, it is important to understand the roles of their different ingredients and to validate their generality. It has already been shown that separation of individuals into males and females does not introduce important effects in the conditions for speciation [21,22], originally based on hermaphrodite populations. In this paper we focus on the effect of genetic incompatibility and work out the theory for infinitely large populations with two biallelic loci (B = 2) without mutations.…”
Section: Introductionmentioning
confidence: 99%