The ASP possible triangle is covered by the ASP IBD
probabilities for a strict-recessive model with general mating type frequencies. That is, for each
with 
, 
and 
, we can find a family of mating type frequencies 
such that 
are the ASP IBD probabilities for the strict-recessive model with mating type frequencies 
.
Letting
where c is a positive constant such that 
,
yields 
.
This illustrates the potentially large impact of non-random mating on the IBD probabilities: under the usual assumptions of random mating and HWE the strict-recessive IBD probabilities are on the Hardy-Weinberg curve, but with general mating type frequencies they cover the entire possible triangle.