A genetical model for emergenesis: in memory of Laurence H. Snyder, 1901-86

When a phenotype is determined by a specific gene combination of several loci, it is called an emergenic trait. Such a trait, although genetically controlled, does not usually run in families, since the specific gene combination can hardly be preserved in the process of reproduction. The present paper suggests a concrete genetical model to account for the phenomenon that there is little resemblance between siblings and parent-child pairs with respect to this trait. The genetical model is multiple homozygosis for all loci involved in the gene configuration. The properties of such a trait in a random mating population for all families, as well as for the segregating families only, are investigated. Some of the difficulties in estimating the genetical parameters on the basis of empirical data are also discussed.