There is a general consensus on the fact that quantitative genetics has drawn off nearly all its possibilities and there is not future for more developments and advances.

Quantitative genetics at the level of mathematical models, assuming allelic frequencies and genetic values known, has been very well and exhaustively developed. Firstly, during its classical period, by Fisher, Sewall Wright, Lush, Lerner, etc., mainly considering that concerning additivity. Afterwards, interaction models were developed; being perhaps the zenith of that period the work of Kempthorne (1957). Other works interesting to note are those of Griffing (1962, 1963) and McNew and Bell (1971,1976), concerning non-additivity in crossbreeding.