Corrections to the substitution rate in the limit that driver mutations are common. Symbols denote the results of forward-time simulations for various combinations of Ud and sd, with the remaining parameters fixed at N = 107, Ub = 10−5, sb = 10−2. The quantities Δrb and Δrd are calculated from Equation 17, with v0 measured from simulations and xc estimated from Equation 16. For comparison, the solid red lines show the first-order predictions from Equations 18 and 21, using the same estimated values of v0 and xc.