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Quasi-dominant model

For fixed , the IBD probabilities lie on a line going through , and given by

Hence, the trinomial probabilities may be re-parameterized as

, where yields the strict-dominant case, and t=1 corresponds to the case of no DS at the candidate locus .

Quasi-dominant probabilities are very close to the additive probabilities, i.e. to the line . Also, there is a small overlap between the IBD probabilities of quasi-recessive and quasi-dominant models, and a large region of the ASP triangle is not covered by either model.

  
Figure 3: ASP quasi-recessive and quasi-dominant IBD probabilities. Strict-recessive model: the IBD probabilities lie on the Hardy-Weinberg curve joining (0,0,1) to . Quasi-recessive model: the lines under the Hardy-Weinberg curve are the IBD probabilities for fixed p and varying r. For fixed p, as r increases from 1 to , the IBD probabilities move along a line from to a point on the Hardy-Weinberg curve. Strict-dominant model: the IBD probabilities are on the curve joining to . Quasi-dominant model: the lines above the strict-dominant curve are the IBD probabilities for fixed p and varying r.



Simon Cawley
Tue May 26 19:30:26 PDT 1998