On the Mendelian Coefficients of Heredity

Abstract

The general differential equations for the problem of natural selection (1) contain two systems of coefficients which have a statistical origin: the probabilities of the crossings, ω_hk, and the coefficients of heredity, λⁱ_hk. The latter express the repartitioning of the products of a crossing (p_h female x p_k male) among the pure groups or the hybrids which compose a population p₁, p₂,…, P_n:

$$ {\rm Products}\,{\rm of}\,{\rm the}\,{\rm crossing}\,{\rm (p}_{{\rm h}\,} {\rm \times }\,{\rm p}_{\rm k} {\rm )}\,{\rm = }\,\sum\limits_{{\rm i = 1}}^{\rm n} {{\rm \lambda }^{\rm i} _{{\rm hk}} } {\rm p}_{{\rm i}{\rm.}} $$

((1))