Saakian David B, Hu Chin-Kun
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jul;82(1 Pt 1):011902. doi: 10.1103/PhysRevE.82.011902. Epub 2010 Jul 7.
We investigate the phenomenon of selection via flatness. In the static case, the finiteness of the population does not seriously influence the increase of mean fitness of population due to flatness around a peak. The effect is proportional to 1/square root(L), where L is the genome length. We investigated the two peak model (high peak and a flat peak). We find that the selection of flatness for long genome lengths occurs as a dynamic phenomenon in the case of evolution with small populations. We found that two factors are crucial to define the role of flatness: special initial distribution (the population is located at centers of peaks) allows flat peak to attract more population, and the large value of mutations per population per virus life cycle sometimes also increases the role of flatness. We suggested simple criteria to identify the phenomenon of dynamical arresting of population around flat peak by experiment. We infer that selection via robustness is possible in evolution as a nonequilibrium phenomenon.
我们研究了通过平坦度进行选择的现象。在静态情况下，由于峰值周围的平坦度，种群的有限性不会严重影响种群平均适应度的增加。这种影响与1/√L成正比，其中L是基因组长度。我们研究了双峰模型（一个高峰值和一个平坦峰值）。我们发现，在小种群进化的情况下，对于长基因组长度而言，平坦度的选择是一种动态现象。我们发现有两个因素对于确定平坦度的作用至关重要：特殊的初始分布（种群位于峰值中心）会使平坦峰值吸引更多种群，并且每个病毒生命周期每个种群的大量突变有时也会增加平坦度的作用。我们提出了简单的标准，以便通过实验识别种群在平坦峰值周围动态停滞的现象。我们推断，在进化过程中作为一种非平衡现象，通过稳健性进行选择是可能的。
