具有随机适应度景观的线性模型中选择性中性入侵物种的成功概率
Success probability for selectively neutral invading species in the line model with a random fitness landscape
摘要：
我们考虑一个空间（线）模型的入侵人口由一个单一的突变体与随机选择性中性的健身景观，独立于非突变体的健身景观。该模型类似于Farhang-Sardroodi等人[PLOS Comput.生物学：13（11），2017; J. R. Soc. Interface，16（157），2019]。我们发现，从一个单一的突变体开始，在一个人口规模$N$突变固定的概率，是大于$1/N$，这将是情况下，如果没有任何变化的健身。在小的变化制度，我们恢复精确的渐近突变体的成功概率。这表明随机性的引入为该模型中的少数突变提供了优势，并且表明该优势随着系统大小而增加。我们进一步证明，突变体在这种情况下具有优势，只是因为它们在出现时更善于利用异常有利的环境，而不是因为它们更善于利用总体上选择性中性的环境中的可重复性。
英文摘要：
We consider a spatial (line) model for invasion of a population by a single mutant with a stochastically selectively neutral fitness landscape, independent from the fitness landscape for non-mutants. This model is similar to those considered in Farhang-Sardroodi et al. [PLOS Comput. Biol., 13(11), 2017; J. R. Soc. Interface, 16(157), 2019]. We show that the probability of mutant fixation in a population of size $N$, starting from a single mutant, is greater than $1/N$, which would be the case if there were no variation in fitness whatsoever. In the small variation regime, we recover precise asymptotics for the success probability of the mutant. This demonstrates that the introduction of randomness provides an advantage to minority mutations in this model, and shows that the advantage increases with the system size. We further demonstrate that the mutants have an advantage in this setting only because they are better at exploiting unusually favorable environments when they arise, and not because they are any better at exploiting pockets of favorability in an environment that is selectively neutral overall.
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