Skip to main content
. 2007 Mar;175(3):1395–1406. doi: 10.1534/genetics.106.062828

APPENDIX A.

Transition probabilities when the selected mutation separates the neutral loci

Configuration at end of selection phase Probability given starting configuration
Configuration at start of neutral phase
Inline graphic Inline graphic Inline graphic
Inline graphic Inline graphic 0 0 O
Inline graphic Inline graphic Inline graphic 0 O
Inline graphic Inline graphic Inline graphic 0 O
Inline graphic Inline graphic Inline graphic 0 B
Inline graphic Inline graphic Inline graphic Inline graphic O
Inline graphic Inline graphic Inline graphic Inline graphic O
Inline graphic Inline graphic Inline graphic Inline graphic B
Inline graphic Inline graphic Inline graphic Inline graphic C
Inline graphic Inline graphic Inline graphic Inline graphic C
Inline graphic Inline graphic Inline graphic Inline graphic C
Inline graphic 0 Inline graphic 0 O
Inline graphic 0 Inline graphic Inline graphic O
Inline graphic 0 Inline graphic Inline graphic O
Inline graphic 0 0 Inline graphic O

An example of the transition probabilities for the changes in configuration that occur during the selection is given in Figure 2. Here we give the transition probabilities for the different starting configurations. For notation, let Inline graphic represent the configuration where at locus x (to the left of the selected site) the two chromosomes i and j have been sampled and both carry the selected allele and at locus y the same two chromosomes have been sampled and again, both carry the selected allele. Using this notation, Inline graphic is, for example, the configuration where at locus x chromosome i carries the selected allele and chromosome j carries the wild type, while at locus y chromosome i has again been sampled (and therefore by necessity carries the selected allele), while a third chromosome, k, carries the wild-type allele. The transition probabilities during the selection phase for each of the three starting configurations are given below. Note that Inline graphic and that the labels i, j, k, and l are arbitrary identifiers for chromosomes drawn at random (with replacement) from the sample. For example, the configurations Inline graphic and Inline graphic would be equivalent.