Population extinction on a random fitness seascape
Population extinction on a random fitness seascape
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随机适应度海景上的种群灭绝
DOI：
10.1103/physreve.102.052106
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发表时间：
2020
影响因子：
2.4
通讯作者：
Kardar, Mehran
中科院分区：
文献类型：
--
作者：
Ottino-Löffler, Bertrand;Kardar, Mehran
我们探讨了随机性和噪声的作用，在一个空间独立的（平均场）的角度来看，通常研究的人口动态模型的统计结果。具体来说，我们考虑一个分布式人口与逻辑增长在每个位置，受到“海景”噪声，其中人口的健身随机变化与位置和时间。尽管它的简单性，该模型实际上结合了定向渗流的变体，定向聚合物在随机介质中，在平均场的角度来看。人口的概率分布可以计算自洽，灭绝过渡表现出新的临界行为的指数依赖于迁移和噪声振幅的强度的比率。结果进行了比较，并与更传统的选择，由于随机变化的人口噪声在繁殖。
We explore the role of stochasticity and noise in the statistical outcomes of commonly studied population dynamics models within a space-independent (mean-field) perspective. Specifically, we consider a distributed population with logistic growth at each location, subject to “seascape” noise, wherein the population's fitness randomly varies withlocation and time. Despite its simplicity, the model actually incorporates variants of directed percolation, and directed polymers in random media, within a mean-field perspective. Probability distributions of the population can be computed self-consistently, and the extinction transition is shown to exhibit novel critical behavior with exponents dependent on the ratio of the strengths of migration and noise amplitudes. The results are compared and contrasted with the more conventional choice of demographic noise due to stochastic changes in reproduction.