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. 2013 Nov;195(3):993–1006. doi: 10.1534/genetics.113.156059

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 D=T1t=0T|X¯approx(t)X¯WF(t)|, is a measure of the mean mismatch between the two trajectories.