Table 1. Numerical examples for the rate of evolution in the Moran and linear processes
Moran Linear, independent of N
τ = 1
rN = 10 N = 20 τ0 = 1 τ0 = 10
2 5.0 10.0 0.5 0.05
1.2 1.99 3.42 0.5 0.05
1 1 1 0.5 0.05
0.8 0.30 0.06 0.5 0.05
0.5 0.01 10 0.5 0.05
  • In the Moran process with random cell death, the probability that mutant cells have become fixed is P(t) = N ρut/τ. In the linear process, we have P(t) = ut/(2τ0). We list the factor that multiplies ut. In the Moran process, advantageous mutants, r > 1, accumulate faster than neutral mutants, r = 1, which accumulate faster than deleterious mutants, r < 1. In the linear process, mutants accumulate independent of their selective value at a rate that is τ/(2τ0) times the rate of neutral evolution in the Moran process.