Table 7. Mean and variance of number of shared segments on a chromosome of 1.632 M for different relationships obtained by simulation (300,000 replicates)a.
R | FS-based | Mean | Variance | HS-based | Mean | Variance | Lineal | Mean | Variance |
---|---|---|---|---|---|---|---|---|---|
1/4 | UN | 2.539 | 1.170 | HS | 2.135 | 0.942 | GPO | 1.316 | 0.537 |
1/8 | GUGN | 1.678 | 1.482 | HUN | 1.475 | 1.187 | GGPO | 1.066 | 0.767 |
C | 1.885 | 1.311 | |||||||
1/16 | C1R | 1.147 | 1.213 | HC | 0.941 | 1.020 | G3PO | 0.736 | 0.721 |
1/32 | 2C | 0.674 | 0.845 | HC1R | 0.572 | 0.714 | G4PO | 0.471 | 0.543 |
1/64 | 2C1R | 0.387 | 0.519 | H2C | 0.336 | 0.445 | G5PO | 0.287 | 0.358 |
1/128 | 3C | 0.219 | 0.299 | H2C1R | 0.193 | 0.258 | G6PO | 0.169 | 0.217 |
FS, full-sib; HS, half-sib; UN, uncle–nephew; GPO, grandparent–offspring; GUGN, great-uncle–great-nephew; HUN, half-uncle–nephew; GGPO, great-grandparent–great-grandoffspring; C, cousin; C1R, cousin once removed; HC, half-cousin; G, great; G3PO, great-great-grandparent–great-great-grandoffspring; 2C, second cousin; HC1R, half-cousin once removed; G4PO, great-great-great-grandparent–great-great-great-grandoffspring; 2C1R, second cousin once removed; H2C, half second cousin; G5PO, great-great-great-great-grandparent–great-great-great-great-grandoffspring; 3C, third cousin; H2C1R, half second cousin once removed; G6PO, great-great-great-great-great-grandparent–great-great-great-great-grandoffspring.
The mean number of shared segments from simulation agreed very closely with those expected from the formula. Of these 19 items, only three differences exceeded 0.001 and none exceeded 0.003.