Table 1 Formulas for calculating the different types of expected X-chromosomal relationships of males and females in a crossbred population derived from two founder lines A and B
RelationshipaFormulab
Self-relationshipEmbedded ImageEmbedded Image
Embedded ImageEmbedded Image
Relationships between individualsEmbedded ImageEmbedded Image
Embedded ImageEmbedded Image
Embedded ImageEmbedded Image
Embedded ImageEmbedded Image
Embedded ImageEmbedded Image
Embedded Imageor Embedded ImageEmbedded Image
  • a Embedded Image and Embedded Image are the expected self-relationships of male and female, respectively; Embedded Image and Embedded Imageare the expected relationships between two males, which are all from line A, or from different lines (A and B respectively); Embedded Image and Embedded Imageare the expected relationships between two females, which are all from line A, or from different lines (A and B respectively); Embedded Image, Embedded Image and Embedded Image are the expected relationships between a male and a female, which are all from line A, or from different lines (A and B respectively).

  • b Embedded Image and Embedded Imageare the line-specific allele frequencies of lines A and B for locus i; Embedded Image is the mean of Embedded Image and Embedded Image for locus i; Embedded Image and Embedded Image are the expected self-relationships of gametes inherited from line A, or from line B; Embedded Image, Embedded Image and Embedded Image are the expected relationships between two gametes, that are from the same line (line A or line B) or from different lines.