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Table 2 Least squares fits to distributions of mutation effects on fitness

From: Phenotypic effect of mutations in evolving populations of RNA molecules

  Exponential[λ] Γ[a, b] β[a, b] Pareto[k, a] Lognormal[m, σ]
μ = 0.001 λ = 11.6 ± 0.6 a = 0.94 ± 0.14 a = 0.87 ± 0.14 k = 0.021 ± 0.001 m = 2.88 ± 0.05
B   b = 0.092 ± 0.015 b = 9.42 ± 1.70 a = 0.93 ± 0.03 σ = 1.03 ± 0.06
Optimized R2 = 0.940 R2 = 0.940 R2 = 0.934 R2 = 0.982 R2 = 0.969
μ = 0.004 λ = 11.4 ± 0.5 a = 1.32 ± 0.15 a = 1.21 ± 0.15 k = 0.022 ± 0.001 m = 2.79 ± 0.03
B   b = 0.065 ± 0.008 b = 13.2 ± 1.8 a = 0.95 ± 0.05 σ = 0.88 ± 0.03
Optimized R2 = 0.974 R2 = 0.975 R2 = 0.972 R2 = 0.959 R2 = 0.989
μ = 0.001 λ = 15.0 ± 1.0 a = 1.95 ± 0.32 a = 1.87 ± 0.32 k = 0.021 ± 0.001 m = 3.01 ± 0.04
B   b = 0.031 ± 0.006 b = 28.9 ± 5.2 a = 1.13 ± 0.04 σ = 0.76 ± 0.04
Adapting R2 = 0.950 R2 = 0.969 R2 = 0.967 R2 = 0.985 R2 = 0.984
μ = 0.004 λ = 13.4 ± 0.7 a = 1.83 ± 0.22 a = 1.73 ± 0.22 k = 0.021 ± 0.001 m = 2.89 ± 0.02
B   b = 0.039 ± 0.005 b = 23.0 ± 3.1 a = 1.06 ± 0.06 σ = 0.76 ± 0.03
Adapting R2 = 0.969 R2 = 0.981 R2 = 0.979 R2 = 0.965 R2 = 0.992
μ = 0.001 λ = 4.85 ± 0.16 a = 0.93 ± 0.09 a = 0.75 ± 0.06 k = 0.026 ± 0.003 m = 2.04 ± 0.05
D   b = 0.224 ± 0.024 b = 3.03 ± 0.27 a = 0.58 ± 0.05 σ = 1.12 ± 0.07
Optimized R2 = 0.962 R2 = 0.964 R2 = 0.972 R2 = 0.840 R2 = 0.947
μ = 0.004 λ = 6.15 ± 0.19 a = 1.27 ± 0.10 a = 1.06 ± 0.07 k = 0.026 ± 0.003 m = 2.17 ± 0.04
D   b = 0.126 ± 0.011 b = 5.70 ± 0.41 a = 0.68 ± 0.06 σ = 0.91 ± 0.05
Optimized R2 = 0.989 R2 = 0.985 R2 = 0.989 R2 = 0.843 R2 = 0.973
μ = 0.001 λ = 6.31 ± 0.18 a = 1.08 ± 0.09 a = 0.90 ± 0.07 k = 0.025 ± 0.003 m = 2.25 ± 0.04
D   b = 0.146 ± 0.014 b = 4.98 ± 0.42 a = 0.68 ± 0.05 σ = 1.00 ± 0.06
Adapting R2 = 0.982 R2 = 0.980 R2 = 0.982 R2 = 0.868 R2 = 0.970
μ = 0.004 λ = 7.86 ± 0.21 a = 1.19 ± 0.09 a = 1.03 ± 0.08 k = 0.024 ± 0.002 m = 2.44 ± 0.03
D   b = 0.106 ± 0.008 b = 7.28 ± 0.60 a = 0.78 ± 0.06 σ = 0.93 ± 0.04
Adapting R2 = 0.990 R2 = 0.987 R2 = 0.986 R2 = 0.900 R2 = 0.987
  1. Representative examples of distributions of beneficial and deleterious fitness effects (B or D in the first column) for optimized and adapting populations and two different values of the mutation rate in each case. The parameters of the least-squares fits for five different (accumulated) probability distribution functions and the corresponding R-squared values are shown for each distribution.