Table 1. Comparing approximate and exact expected trajectories.
Initial Frequency, y | Selection Coefficient, s | Effective Population Size, Ne | Time, T, by Which Fixation is Specified to Occur | D, Measure of Mean Mismatch Between Approximate and Exact Trajectories |
0.01 | 0.01 | 100 | 100 | 0.010 |
200 | 0.016 | |||
400 | 0.018 | |||
800 | 0.017 | |||
200 | 100 | 0.005 | ||
200 | 0.013 | |||
400 | 0.019 | |||
800 | 0.026 | |||
−0.01 | 100 | 100 | 0.005 | |
200 | 0.011 | |||
400 | 0.013 | |||
800 | 0.014 | |||
200 | 100 | 0.002 | ||
200 | 0.007 | |||
400 | 0.013 | |||
800 | 0.022 | |||
0.1 | 0.01 | 100 | 100 | 0.009 |
200 | 0.016 | |||
400 | 0.018 | |||
800 | 0.017 | |||
200 | 100 | 0.005 | ||
200 | 0.011 | |||
400 | 0.019 | |||
800 | 0.027 | |||
−0.01 | 100 | 100 | 0.005 | |
200 | 0.011 | |||
400 | 0.014 | |||
800 | 0.015 | |||
200 | 100 | 0.001 | ||
200 | 0.006 | |||
400 | 0.014 | |||
800 | 0.023 |
We compare the approximation of the expected trajectory, from Equation 9, with the exact numerical result, calculated from the Wright–Fisher model (Fisher 1930; Wright 1931). The quantity D, defined by , is a measure of the mean mismatch between the two trajectories.