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arXiv 1801.05970q-bio.PE
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波动环境中噪声引起的稳定和固定

Noise-induced stabilization and fixation in fluctuating environment

Immanuel Meyer, Nadav M. Shnerb

摘要:

被认为是一个两个物种社区的$N$竞争的个人的动态,强调环境变化的作用,连贯地影响整个种群的健身。固定的突变体群体(特别是,一个单一的突变体)的机会计算作为一个函数的平均相对健身的突变体,健身变化的幅度和它们的典型持续时间。我们强调本地竞争的情况下,全球竞争的情况下之间的区别;在后者的噪声诱导的稳定机制产生一个单一的突变体的固定的机会更高。这种区别在弱选择阶段变得很明显,在弱选择阶段,单个有害突变体的固定机会对于全局竞争是$N$独立常数,而在局部竞争情况下则像$(\ln N)^{-1}$一样衰减.长期持久性的可能性${\cal O} (N)$次优(和precaution-prone)的人口进行了讨论,以及其相关性随机隧道之间的健身高峰。

英文摘要:

The dynamics of a two-species community of $N$ competing individuals is considered, with an emphasis on the role of environmental variations that affect coherently the fitness of entire populations. The chance of fixation of a mutant population (and, in particular, of a single mutant) is calculated as a function of the mean relative fitness of the mutant, the amplitude of fitness variations and their typical duration. We emphasize the distinction between the case of local competition and the case of global competition; in the latter a noise-induced stabilization mechanism yields a higher chance of fixation for a single mutant. The distinction becomes dramatic in the weak selection phase, where the chance of fixation for a single deleterious mutant is an $N$-independent constant for global competition and decays like $(\ln N)^{-1}$ in the local competition case. The possibility of long-term persistence of ${\cal O} (N)$ suboptimal (and extinction-prone) populations is discussed, as well as its relevance to stochastic tunneling between fitness peaks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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