Linkage analysis assuming a single‐locus mode of inheritance for traits determined by two loci: Inferring mode of inheritance and estimating penetrance

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Abstract
What happens to the results of linkage analysis when one assumes that a disease results from a single genetic locus with reduced penetrance when the actual cause is two epistatically interacting loci? We wanted to (1) determine whether assuming the correct mode of inheritance at the linked locus leads to a higher lod score than assuming the incorrect mode of inheritance irrespective of penetrance assumptions and (2) determine whether it is possible to estimate the apparent penetrance due to the second, unlinked locus from the linkage data. Linkage data were simulated under three different two‐locus models. Different “penetrances” were simulated by using different disease allele frequencies at the unlinked locus. Data were then analyzed assuming a single locus with reduced penetrance. The maximum lod score was maximized with respect to penetrance (LVP curves). We found that if there were enough data, assuming the correct (i.e., generating) mode of inheritance at the linked locus always led to a higher lod score than assuming the incorrect mode of inheritance no matter what the penetrance assumption. In contrast to the case where reduced penetrance is due to random factors, the estimate of the apparent penetrance (the “penetrance” due to the second locus) was biased, thus making any estimation of the gene frequency at the second locus doubtful. The ability to detect linkage was apparently not affected when the effects of the second locus were treated as random reduced penetrance. The results suggest that analyzing the data under the assumption of a single‐locus model with reduced penetrance rather than a two‐locus model will not substantially decrease the ability to establish linkage nor will it affect determining the mode of inheritance at the linked locus from the linkage data.