This paper argues that confounding between epigenetic and additive genetic effects explains the missing heritability problem, and offers two new epigenetic models describing transgenerational inheritance that may supplement the traditional mixed linear models used to make predictions of the additive genetic merit of animals. The new models utilize pedigree information and show the property of additivity, like the additive genetic models do. The combined predictions of both epigenetic and genetic effects may provide useful indexes that help farmers select replacement animals or breeding stock. The utility of these methods depends on data where both confounding and the parsimony of parameters come to bear on practical limits. The proposed epigenetic models are just a first step, and they may not win long-term favor when compared to future models that are still to be formulated.