We applied a combined linkage and association model for quantitative traits
in pedigrees to identify possible functional polymorphisms and to test for
association resulting from population stratification and admixture. Functi
onal polymorphisms are identified as variants that are significantly associ
ated with a trait (high chi (2) value) and showing no residual evidence of
linkage (low lod score). Applying our model to the simulated data in the po
pulation isolate (replicate 1) we correctly identified the polymorphism in
gene 6 (MG1) that affects Q1. Without modeling association the lod score fo
r Q1 was 5.4. At the site of the functional variant (5782 bp) the associati
on chi (2) was 88.1 on I df (p < 0.001) and the lod score was 0.003. We est
imated a 3.7-unit increase in the average Q1 for each extra copy of the pol
ymorphism (95% CI = 2.95-4.41) and there was no evidence of population stra
tification or admixture (chi (2) = 0.08 on 2 df). For Q5 and gene 2, modeli
ng the sequence variants at I I loci simultaneously identified multiple fun
ctional variants. Including the main effect of I I marker genotypes reduced
the lod score at gene 2 from 8.7 to 0.9. Again, no evidence of population
stratification or admixture was found (all chi (2) < 4.9 on 2 df; p > 0.05)
. ((C)) 2001 Wiley-Liss, Inc.