IET Syst Biol. 2013 Oct;7(5):153-64. doi: 10.1049/iet-syb.2012.0058.
Adaptive landscape, proposed by Sewall Wright, has provided a conceptual framework to describe dynamical behaviours. However, it is still a challenge to explicitly construct such a landscape, and apply it to quantify interesting evolutionary processes. This is particularly true for neutral evolution. In this work, the authors study one-dimensional Wright Fisher process, and analytically obtain an adaptive landscape as a potential function. They provide the complete characterisation for dynamical behaviours of all possible mutation rates under the influence of mutation and random drift. This same analysis has been applied to situations with additive selection and random drift for all possible selection rates. The critical state dividing the basins of two stable states is directly obtained by the landscape. In addition, the landscape is able to handle situations with pure random drift, which would be non-normalisable for its stationary distribution. The nature of non-normalisation is from the singularity of adaptive landscape. In addition, they propose a new type of neutral evolution. It has the same probability for all possible states. The new type of neutral evolution describes the non-neutral alleles with 0%. They take the equal effect of mutation and random drift as an example.
适应景观由 Sewall Wright 提出，为描述动力学行为提供了一个概念框架。然而，明确构建这样的景观并将其应用于量化有趣的进化过程仍然是一个挑战。对于中性进化来说尤其如此。在这项工作中，作者研究了一维 Wright-Fisher 过程，并通过分析得到了一个作为势函数的适应景观。他们为在突变和随机漂变的影响下所有可能的突变率下的动力学行为提供了完整的描述。同样的分析也适用于具有加性选择和随机漂变的所有可能选择率的情况。由景观直接得到了两个稳定状态的分界面。此外，该景观还能够处理仅由随机漂变的情况，对于其平稳分布来说，这是不可归一化的。不可归一化的本质来自于适应景观的奇点。此外，他们提出了一种新的中性进化类型。它对所有可能的状态都有相同的概率。这种新的中性进化用 0%描述非中性等位基因。他们以突变和随机漂变的相同影响为例。
