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Stability Properties of Underdominance in Finite Subdivided Populations

机译:有限细分群体中支配地位的稳定性

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摘要

In isolated populations underdominance leads to bistable evolutionary dynamics: below a certain mutant allele frequency the wildtype succeeds. Above this point, the potentially underdominant mutant allele fixes. In subdivided populations with gene flow there can be stable states with coexistence of wildtypes and mutants: polymorphism can be maintained because of a migration-selection equilibrium, i.e., selection against rare recent immigrant alleles that tend to be heterozygous. We focus on the stochastic evolutionary dynamics of systems where demographic fluctuations in the coupled populations are the main source of internal noise. We discuss the influence of fitness, migration rate, and the relative sizes of two interacting populations on the mean extinction times of a group of potentially underdominant mutant alleles. We classify realistic initial conditions according to their impact on the stochastic extinction process. Even in small populations, where demographic fluctuations are large, stability properties predicted from deterministic dynamics show remarkable robustness. Fixation of the mutant allele becomes unlikely but the time to its extinction can be long.
机译:在孤立的种群中,低优势导致双稳态进化动力学:在某个突变等位基因频率以下,野生型成功。在此之上,潜在的优势突变等位基因修复。在具有基因流的细分人群中,可以存在野生型和突变体并存的稳定状态:由于迁移选择平衡,即针对趋于杂合的稀有新近移民等位基因的选择,可以保持多态性。我们关注系统的随机演化动力学,其中耦合种群的人口统计学波动是内部噪声的主要来源。我们讨论了适应度,迁移率和两个相互作用种群的相对大小对一组潜在优势基因突变等位基因平均灭绝时间的影响。我们根据实际条件对随机灭绝过程的影响进行分类。即使在人口波动大的人口稀少的地区,根据确定性动力学预测的稳定性也表现出显着的鲁棒性。突变等位基因的固定变得不太可能,但是其消失的时间可能会很长。

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