ρ = | |||||
---|---|---|---|---|---|

0.1 | 1 | 10 | 100 | 1000 | |

τ = 5 | |||||

𝔼[L_{τ}(ρ, x)] | 0.081 | 0.271 | 0.410 | 1.07 | 7.18 |

𝔼_{1}[L_{τ}(ρ, x)] | 0.081 | 0.223 | 0.227 | 0.231 | 0.272 |

𝔼_{2}[L_{τ}(ρ, x)] | 0.079 | 0.199 | 0.200 | 0.200 | 0.200 |

𝔼_{3}[L_{τ}(ρ, x)] | 0.100 | 0.250 | 0.250 | 0.250 | 0.250 |

τ = 10 | |||||

𝔼[L_{τ}(ρ, x)] | 0.065 | 0.120 | 0.123 | 0.128 | 0.169 |

𝔼_{1}[L_{τ}(ρ, x)] | 0.065 | 0.106 | 0.106 | 0.106 | 0.106 |

𝔼_{2}[L_{τ}(ρ, x)] | 0.063 | 0.100 | 0.100 | 0.100 | 0.100 |

𝔼_{3}[L_{τ}(ρ, x)] | 0.100 | 0.111 | 0.111 | 0.111 | 0.111 |

τ = 25 | |||||

𝔼[L_{τ}(ρ, x)] | 0.038 | 0.043 | 0.043 | 0.043 | 0.043 |

𝔼_{1}[L_{τ}(ρ, x)] | 0.037 | 0.041 | 0.041 | 0.041 | 0.041 |

𝔼_{2}[L_{τ}(ρ, x)] | 0.037 | 0.040 | 0.040 | 0.040 | 0.040 |

𝔼_{3}[L_{τ}(ρ, x)] | 0.042 | 0.042 | 0.042 | 0.042 | 0.042 |

All calculations were made at

*x*=^{1}/_{2}, where 𝔼[*L*_{τ}(ρ,*x*)] can be calculated numerically. Note that ρ can be thought of either in terms of the (scaled) genetic length of the fragment or as a physical length (given assumptions about the recombination rate per base pair).