Genetic nurturing, missing heritability, and causal analysis in genetic statistics.

Genetic nurturing, the effect of parents' genotypes on offspring phenotypes through parental phenotypic transmission, can be modeled in terms of gene-culture interactions. This paper first uses a simple one-locus, two-phenotype gene-culture cotransmission model to compute the effect of genetic nurturing in terms of regression of children's phenotypes on transmitted and nontransmitted alleles. With genetic nurturing, interpreting heritability and hence the meaning of "missing heritability" becomes problematic. Other factors, for example, population subdivision and assortative mating, generate similar signals to those of genetic nurturing, namely, correlation between parents' nontransmitted alleles and children's phenotypes. Corrections must be made for these to isolate the signal of genetic nurturing. Finally, a unified causal framework is constructed for genetic nurturing, population subdivision, and assortative mating. Causal and noncausal paths from transmitted and nontransmitted alleles to children's phenotypes are identified and investigated in the presence of genetic nurturing, population subdivision, and assortative mating. Using causal analysis, assumptions made in inferring direct and indirect effects are then clarified and evaluated in a broader causal context.