Data set | Method | T | N_{0} | N_{∞} | s_{0} | s_{∞} | S_{0} | S_{∞} | P_{fix} | Cost/rep |
---|---|---|---|---|---|---|---|---|---|---|

1 | Direct simulation | 20 | 50 | 50 | 0.005 | 0.050 | 1 | 10 | 0.0687 | 12 |

2 | Finite T simulation | 20 | 50 | 50 | 0.005 | 0.050 | 1 | 10 | 0.0689 | 4 |

3 | Direct simulation | 20 | 50 | 500 | 0.005 | 0.005 | 1 | 10 | 0.0817 | 115 |

4 | Finite T simulation | 20 | 50 | 500 | 0.005 | 0.005 | 1 | 10 | 0.0818 | 9 |

5 | Direct simulation | 200 | 50 | 50 | 0.005 | 0.050 | 1 | 10 | 0.0320 | 11 |

6 | Finite T simulation | 200 | 50 | 50 | 0.005 | 0.050 | 1 | 10 | 0.0321 | 10 |

7 | Direct simulation | 200 | 50 | 500 | 0.005 | 0.005 | 1 | 10 | 0.0451 | 51 |

8 | Finite T simulation | 200 | 50 | 500 | 0.005 | 0.005 | 1 | 10 | 0.0447 | 18 |

9 | Direct simulation | 20 | 500 | 500 | 0.005 | 0.050 | 10 | 100 | 0.0672 | 18 |

10 | Finite T simulation | 20 | 500 | 500 | 0.005 | 0.050 | 10 | 100 | 0.0671 | 4 |

11 | Direct simulation | 20 | 500 | 5000 | 0.005 | 0.005 | 10 | 100 | 0.0814 | 192 |

12 | Finite T simulation | 20 | 500 | 5000 | 0.005 | 0.005 | 10 | 100 | 0.0812 | 8 |

13 | Direct simulation | 200 | 500 | 500 | 0.005 | 0.050 | 10 | 100 | 0.0298 | 14 |

14 | Finite T simulation | 200 | 500 | 500 | 0.005 | 0.050 | 10 | 100 | 0.0302 | 11 |

15 | Direct simulation | 200 | 500 | 5000 | 0.005 | 0.005 | 10 | 100 | 0.0428 | 90 |

16 | Finite T simulation | 200 | 500 | 5000 | 0.005 | 0.005 | 10 | 100 | 0.0425 | 17 |

We take

*S*(*t*) to start at the positive value*S*_{0}at time*t*= 0 and then to linearly increase to the value*S*_{∞}= 10*S*_{0}by time*T*and then remain constant at the value*S*_{∞}for all times larger than*T*. Two different methods are used to estimate the probability of fixation when initially there is only a single copy of an*A*allele: (i) direct simulation, where we “follow” each replicate population until either fixation or loss occurs and (ii) simulations based on Equation 4, where we follow each replicate population for, at most,*T*generations. The column labeled “Cost/rep” gives the mean number of generations a replicate population was followed in a simulation. In the simulations, 5 × 10^{5}replicate populations were used, and we adopted a Wright–Fisher model where the only place in the life cycle where randomness occurs is in the thinning of the number of individuals to*N*_{e}=*N*adults. The initial values of*N*_{e}and*s*are*N*_{0}and*s*_{0}, while the final values are*N*_{∞}and*s*_{∞}; data sets 1, 2, 5, 6, 9, 10, 13, and 14 correspond to*N*_{e}fixed and*s*changing with time. It is evident from the table that there are differences in the fixation probability, depending on whether*N*_{e}changed with time, at fixed*s*, or*s*changed with time at fixed*N*_{e}.