Model feature | Admixture model | Breeding-system model |
---|---|---|

The initial “cross” | An admixed population is formed by females from source population 1 and males from source population 2 | A cross occurs between a female AA and a male aY |

Type of mating after the initial cross | Random mating occurs in the admixed population | Random mating occurs among the progeny |

No. generations of mating after the initial cross | n − 1 | n − 1 |

Description of the population of interest | Admixed population under hybrid isolation | Inbred line |

Quantities computed for the population | Expected X-chromosomal admixture proportion from source population 1 in the admixed population in generation n, in females (p_{n}_{,f}) and males (p_{n}_{,m}) | Frequency of X-chromosomal allele A in the inbred line in generation n, in females (p_{n}_{,f}) and males (p_{n}_{,m}) |

Mathematical results^{a} | p_{n}_{,f} = J_{n}_{+1}/2^{n} | p_{n}_{,f} = J_{n}_{+1}/2^{n} |

p_{n}_{,m} = J/2_{n}^{n}^{−1} | p_{n}_{,m} = J/2_{n}^{n}^{−1} | |

Source | Goldberg and Rosenberg (2015, equations 12 and 13) | Jennings (1916, paragraph 58) |

↵a

*J*represents entry_{n}*n*in the Jacobsthal number sequence.