TABLE 1

Probability of patterns of identity-in-state Embedded Image given modes of identity-by-descent Sj

Identity-by-descent mode Sj
Identity-in-state modeAllelic stateS1S2S3S4S5S6S7S8S9
Embedded Image AiAi, AiAiipiEmbedded Image Embedded Image Embedded Image Embedded Image Embedded Image Embedded Image Embedded Image Embedded Image
Embedded Image AiAi, AjAji, ∀ji0pipj0Embedded Image 0Embedded Image 00Embedded Image
Embedded Image AiAi, AiAji, ∀ji00pipjEmbedded Image 000Embedded Image Embedded Image
Embedded Image AiAi, AjAki, ∀ji, ∀k > j, ki0002pipjpk0000Embedded Image
Embedded Image AiAj, AiAii, ∀ji0000pipjEmbedded Image 0Embedded Image Embedded Image
Embedded Image AjAk, AiAii, ∀ji, ∀k > j, ki000002pipjpk00Embedded Image
Embedded Image AiAj, AiAji, ∀j > i0000002pipjpipj(pi + pj)Embedded Image
Embedded Image AiAj, AiAki, ∀ji, ∀ki, j0000000pipjpkEmbedded Image
Embedded Image AiAj, AkAli, ∀j > i, ∀ki, j, ∀l > k, li, j000000004pipjpkpl
  • Alleles with different labels (e.g., Ai and Aj) are distinct, and the frequency of allele Ai is pi.