A Novel Solution for the Time-Dependent Probability of Gene Fixation or Loss Under Natural Selection

Kimura (1955b) proposed a solution for the time-dependent probability of fixation, or loss, of a gene under selection. Example calculations suggest the formulas are prone to numerical inaccuracies. An alternative solution is proposed; the correctness of the solution is confirmed by numerically solving the Kolmogorov backward equation and by simulation.

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