Figures and display the resulting HLODs for analysis carried out under an autosomal recessive mode of inheritance for a first-cousin consanguineous mating with a single affected offspring. For the pedigree structure A (fig. ), haplotype data was generated for two markers with equal allele frequency (Model 1). For figure the first-cousin parental genotype data is available and HLOD and α were evaluated for various configurations of available genotype data, while figure displays the results when parental genotype data is missing. Table displays HLOD and α when parental genotype data is either available or missing for Model 1 when D′ = r2 = 1. The false-positive evidence for linkage is high when only genotype data is available for the parents and the proband (HLOD = 16.22) and increases when genotype data is only available for the proband (HLOD = 26.05). Genotyping grandparents and great-grand parents is beneficial in reducing false-positive evidence for linkage: however, the false-positive evidence for linkage only disappears when the parents, grandparents and great-grandparents are all genotyped (HLOD = 0.17) (fig. ). In the case where parental genotype data is missing, even if the grandparents and great-grandparents are genotyped, the false-positive evidence for linkage remains (fig. and table ). Although it is unusual to have genotype data available for great-grandparents, grandparents can often be ascertained. This additional genotype data greatly aids in the reduction of false-positive evidence for linkage in some situations: if the parental genotypes are not available, then genotyping the married-in-grandparents (individuals 8 and 11) is most effective (HLOD = 7.27; α = 0.20) in reducing the false-positive evidence for linkage compared to genotyping the sibling-grandparents (individuals 9 and 10) (HLOD = 20.08). However, when all grandparents are genotyped the HLOD is slightly higher than when only married-in-grandparents’ genotype data is available, and the proportion of linked families is reduced (HLOD = 8.13; α = 0.15). When parental genotypes are available, genotyping both sets of grandparents (HLOD = 2.47) only offers a slight improvement in reducing the false-positive evidence of linkage compared to only genotyping the sibling grandparents (HLOD = 3.24), while only genotyping the married-in grandparents is not as effective in reducing the false-positive evidence of linkage (HLOD = 9.37).
| Table 1The average maximum HLOD and α values for model 1 where both marker loci have equal allele frequencies and D′ = r2 = 1.0 when various family members are genotyped in pedigrees with a first-cousin consanguineous mating segregating an autosomal (more ...) |
Unlike the case for unrelated parents [
1], for first-cousin consanguineous matings, genotyping two unaffected siblings of the affected proband did not eradicate false-positive evidence for linkage (HLOD = 5.80) when parental genotypes are missing (fig. and table ); however, genotyping two unaffected siblings of the affected proband was of greater benefit in reducing false-positive evidence of linkage than genotyping two additional affected siblings (HLOD = 29.24). When parental genotypes are available for a first-cousin mating, which siblings’ genotype data is most beneficial in reducing the false-positive evidence of linkage is reversed. In this case, genotyping two affected siblings of the proband is more effective in decreasing the false-positive evidence for linkage (HLOD = 2.09) compared to genotyping two unaffected siblings (HLOD = 11.35). In the case where genotype data is only available for one parent (HLOD = 22.47; α = 0.31), genotyping two additional affected siblings of the proband has a greater influence in reducing the proportion of linked families than the HLOD (HLOD = 10.58; α = 0.07) compared to genotyping two additional unaffected siblings (HLOD = 9.36; α = 0.19).
The effect of missing genotype data was also evaluated for second-cousin consanguineous matings. When parental genotype data is unavailable and two additional affected siblings of the proband are genotyped, there is only a decrease in the proportion of linked families (α = 0.20) but no decrease in the HLOD = 26.58, compared to when only the proband is genotyped (HLOD = 25.94; α = 0.34). However, when there is missing parental genotype data, available genotype data for two unaffected siblings of the proband greatly reduces the false-positive evidence for linkage (HLOD = 2.50; α = 0.08). In the case where the consanguineous second-cousin parents are genotyped and there is one affected proband, there is still false-positive evidence for linkage (HLOD = 3.65; α = 0.13). This false-positive evidence for linkage is reduced when two additional unaffected siblings are genotyped (HLOD = 2.37; α = 0.08), but the reduction in false-positive evidence for linkage is not as dramatic as when an additional affected sibling is genotyped (HLOD = 0.97, α = 0.03).
For pedigrees with first-cousin consanguineous mating with data analyzed under an autosomal dominant model of inheritance or X-linked recessive mode of inheritance there was an increase in the HLOD and alpha when parental genotype data is missing. For a first-cousin consanguineous pedigrees with an autosomal dominant mode of inheritance, when genotype data is only available for the affected proband and one affected sibling the HLOD = 2.21 and α = 0.28; this modest increase in the false-positive evidence for linkage disappears when parental genotype data are available. For first-cousin consanguineous pedigrees with X-linked autosomal recessive mode of inheritance when genotype data is only available for an affected male proband and his affected male sibling, the false positive evidence of linkage is increased (HLOD = 7.43 and α = 0.32); the false-positive evidence for linkage completely disappears when maternal genotype data is available.
When consanguineous pedigree B (fig. ) is analyzed removing consanguinity loops so only the proband's parents are first-cousins (fig. , pedigree A), the false-positive evidence for linkage is further inflated. When only the affected proband is genotyped in the pedigree with cryptic consanguinity the HLOD = 36.45 and α = 0.4. When both parents are genotyped the HLOD and α (22.21 and 0.34, respectively) are reduced, but for both situations the presence of cryptic consanguinity increases the false-positive evidence of linkage compared to when it is not present (see table ). The false-positive evidence of linkage is eradicated (HLOD = 0.11) when all pedigree members are genotyped within the pedigree with cryptic consanguinity. In order to evaluate whether or not cryptic consanguinity has an effect when no consanguineous relationships are specified in the analysis, data was generated for pedigree B (fig. ) but with two affected offspring. There is a slight increase in the false-positive evidence for linkage when neither parent is genotyped (HLOD = 19.15 α = 0.36) compared to when data is generated for pedigrees where the parents are unrelated to each other (HLOD = 14.20 α = 0.31). However, for this situation, the presence of cryptic consanguinity did not lead to an increase in false-positive evidence of linkage when both parents are genotyped (HLOD = 0.09).
The generated data was reanalyzed using the MERLIN program, estimating and incorporating intermarker LD in the analysis, and the false-positive evidence for linkage was eradicated for consanguineous pedigrees with missing genotype data. For example, analysis with MERLIN of pedigrees with a first-cousin consanguineous mating with only a single genotyped affected proband reduced the HLOD to 0.09. When cryptic consanguinity was present, MERLIN greatly reduced the false-positive evidence of linkage but it was not completely removed; the highest HLOD of 1.1 (α = 0.10) was obtained for first-cousin consanguineous pedigrees with cryptic inbreeding when genotype data was only available for the affected proband. When MERLIN was used to carry out the analysis, incorporating the generating haplotype frequencies in the analysis the HLOD = 1.1 (α = 0.10) was still inflated for the first-cousin consanguineous pedigrees with cryptic inbreeding when genotype data was only available for the proband.
It has previously been shown for sib-pairs where the parents are unrelated that r
2 is a better predictor of the increase in the false-positive evidence for linkage than D′ [
18]. This observation holds true for consanguineous pedigrees. When haplotype data is generated under model 3 when D′ = 1, r
2 = 0.43, the HLOD is lower than for data generated under model 1 where r
2 = D′ = 1. For example, the HLOD = 2.74 for model 3 and 16.22 for model 1 for a first-cousin consanguineous pedigree with available parental genotype data and a single affected proband. Another factor which affects the false-positive evidence for linkage is the Multilocus PIC (MPIC) [
22]. The HLOD will increase with increasing MPIC for a fixed r
2 value, pedigree structure and available genotype data. For example, for a first-cousin mating with one affected proband where parental genotype data is available for two markers each with equal allele frequency (Model 1), r
2 = 1 and MPIC = 0.375 the HLOD = 16.22 and α = 0.28 for the same pedigree configuration and two segregating markers with an r
2 = 1, MAF = 0.2 (Model 2) and MPIC = 0.2688 the HLOD decreases to 6.53 and α to 0.22. It should also be noted that as r
2 decreases for set allele frequencies the MPIC increases. For example, for two markers with equal allele frequency (Model 1) when r
2 = 0.64 and r
2 = 0.36 the MPIC = 0.5039 and MPIC = 0.5958, respectively. Although MPIC increases, decreasing r
2 always has a greater effect in reducing the false-positive evidence for linkage than MPIC (see , , ).