For the association tests in the presence of linkage, we present here only the SNPs within a 10-cM vicinity of the two linkage peaks with smallest p-values under each of disease criteria. For ALDX2, evidence of association at a 0.001 significant level using frailty models adjusting gender and smoking status as covariates was found for SNPs rs273954 and rs700273 on chromosome 7, and rs710411 on chromosome 9 and ALDX1, and between rs1978161, rs1565933, rs1867299, rs2279400, rs1848125, rs1224438, rs1495042, rs965125, and rs1444588 on chromosome 12, and rs1039559 on chromosome 4. As a comparison, for ALDX1, evidence of association at a 0.05 level using transmission/disequilibrium test on trio (parents and one affected sib) data was found between rs273954 and rs727714 on chromosome 7; for ALDX2, evidence was found for rs12142 and rs951149 on chromosome 4, and rs1705748, rs1705772, rs1843910, rs1846629, and rs1820545 on chromosome 12.