Figure 2

Equilibrium population distribution without lethality. The stationary solution of Eq. (2) without lethality. The figure shows the delocalization of the population from the fittest genotype for high error rates and the absence of the error-threshold. (A) The population fraction of each genotype class (y _d ) is plotted against the error rate (1 - q). The black line is for y₀. The gray lines are for y _d (0 <d ≤ ν). A succession of the genotype class is observed as 1 - q increase ($\mathcal{G}$₀ is maximum at 1 - q ≈ 0, then $\mathcal{G}$₁, $\mathcal{G}$₂, $\mathcal{G}$₃, ⋯ as 1 - q increases.) (B) The logarithm of the population fraction of each genotype, log(y _d /($\kappa \left(\begin{array}{c}\nu \\ d\end{array}\right)$)), is plotted against 1 - q (instead of that of a genotype class). The black line is for d = 0. The gray lines are for 0 <d ≤ ν [from top to bottom, lines are for d = 0,1, 2, ...]. The graph depicts the convergence of the population fraction of every genotype to the limit ${\left({\displaystyle {\sum }_{d=0}^{\nu }\left(\begin{array}{c}\nu \\ d\end{array}\right)}\right)}^{-1}$, which is the population fraction of a genotype for q = 0.5. (C) d log y₀/d(1 - q) is plotted against 1 - q. For all graphs, the parameters are as follows, ν = 50. f _d = 0.99^d. κ = 1.