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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.