Quasispecies distribution of Eigen model

We have studied sharp peak landscapes of the Eigen model from anew perspective about how the quasispecies are distributed in thesequence space. To analyse the distribution more carefully, we bringin two tools. One tool is the variance of Hamming distance of thesequences at a given generation. It not only offers us a differentavenue for accurately locating the error threshold and illustrateshow the configuration of the distribution varies with copyingfidelity $q$ in the sequence space, but also divides the copyingfidelity into three distinct regimes. The other tool is thesimilarity network of a certain Hamming distance $d_{0}$, by which wecan gain a visual and in-depth result about how the sequences are distributed. We find that there are several local similarity optimaaround the centre (global similarity optimum) in the distribution ofthe sequences reproduced near the threshold. Furthermore, it isinteresting that the distribution of clustering coefficient $C(k)$follows lognormal distribution and the curve of clusteringcoefficient $C$ of the network versus $d_{0}$ appears to be linear near the threshold.