论文标题
与随机健身景观的线模型中有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
论文作者
论文摘要
我们考虑了一个空间（线）模型，该模型通过具有随机选择性中性的适应性景观的单个突变体侵袭了人群，与非杂种的适应性景观无关。该模型类似于Farhang-Sardroodi等人中考虑的模型。 [PLOS计算。 Biol。，13（11），2017年； J. R. Soc。界面，16（157），2019年]。我们表明，从单个突变体开始的大小$ n $种群中突变体的可能性大于$ 1/n $，如果健身没有任何差异，情况就是这样。在较小的变化方案中，我们恢复了突变体成功概率的精确渐近造成。这表明随机性的引入为该模型中的少数族裔突变提供了优势，并表明优势随系统的大小而增加。我们进一步证明，突变体在这种情况下具有优势，仅仅是因为它们在出现时会更好地利用异常有利的环境，而不是因为它们在选择性中性的环境中更好地利用了偏爱的口袋。
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.
