IBD State^{a} | State Descriptions | ||||||
---|---|---|---|---|---|---|---|

B_{1} | B_{2} | Partition | Ewens | Probability^{b} | |||

a | b | c | d | z | (a_{1}, a_{2}, a_{3}, a_{4}) | Jacquard | k |

1 | 1 | 1 | 1 | (a, b, c, d) | (0,0,0,1) | Δ_{1} | — |

1 | 1 | 2 | 2 | (a, b)(c, d) | (0,2,0,0) | Δ_{2} | — |

1 | 1 | 1 | 2 | (a, b, c)(d) | (1,0,1,0) | Δ_{3} | — |

1 | 1 | 2 | 1 | (a, b, d)(c) | (1,0,1,0) | ||

1 | 1 | 2 | 3 | (a, b)(c)(d) | (2,1,0,0) | Δ_{4} | — |

1 | 2 | 1 | 1 | (a, c, d)(b) | (1,0,1,0) | Δ_{5} | — |

1 | 2 | 2 | 2 | (a)(b, c, d) | (1,0,1,0) | ||

1 | 2 | 3 | 3 | (a)(b)(c, d) | (2,1,0,0) | Δ_{6} | — |

1 | 2 | 1 | 2 | (a, c)(b, d) | (0,2,0,0) | Δ_{7} | k_{2} |

1 | 2 | 2 | 1 | (a, d)(b, c) | (0,2,0,0) | ||

1 | 2 | 1 | 3 | (a, c)(b)(d) | (2,1,0,0) | Δ_{8} | ^{c} |

1 | 2 | 3 | 1 | (a, d)(b)(c) | (2,1,0,0) | ||

1 | 2 | 2 | 3 | (a)(b, c)(d) | (2,1,0,0) | ||

1 | 2 | 3 | 2 | (a)(b, d)(c) | (2,1,0,0) | ||

1 | 2 | 3 | 4 | (a)(b)(c)(d) | (4,0,0,0) | Δ_{9} | k_{0} |

The two gametes of individual

*B*_{1}are denoted*a*and*b*, and the two gametes of*B*_{2}are*c*and*d*.↵a The pattern is defined by the labeling developed by Nadot and Vayssiex (1973).

↵b The total probability of each subset of genotypically equivalent states is given on the first row. For example, Δ

_{3}is the combined probability of states (11 12) and (11 21).↵c Note that Cotterman (1940) and some later authors use 2

*k*_{1}instead of*k*_{1}for this probability.