Table 1 Recursion for the X-chromosomal and autosomal admixture fractions of a randomly chosen female or male from an admixed population at generation g, given a set of parents
CaseFemale parent’s populationMale parent’s populationProbabilityAdmixture in malesAdmixture in females
Embedded ImageEmbedded ImageEmbedded ImageEmbedded Image
1S1S1Embedded Image1111
2S1HEmbedded ImageEmbedded Image1Embedded ImageEmbedded Image
3S1S2Embedded ImageEmbedded Image1Embedded ImageEmbedded Image
4HS1Embedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image
5HHEmbedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image
6HS2Embedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image
7S2S1Embedded ImageEmbedded Image0Embedded ImageEmbedded Image
8S2HEmbedded ImageEmbedded Image0Embedded ImageEmbedded Image
9S2S2Embedded Image0000
  • With two source populations and the contributions from the admixed population to itself, a random individual has nine possible parental pairings, for each of which the probability is listed.