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Effect of Inbreeding of Parental Lines on Predicted Yields of Synthetics ¹

Some plant breeders have suggested that high yielding S₁ parental lines should produce a higher yielding synthetic variety than low yielding highly inbred lines of equal combining ability. These breeders, using Wright's formula, drew conclusions from comparisons of hypothetical yields of synthetics produced from n S₁ lines and n highly inbred lines. The correct comparison should be n S₁ lines vs. 2 n highly inbred lines. It can be shown that Wright's formula predicts yields of synthetics regardless of the degree of inbreeding of the parental lines, and the yield of a synthetic is dependent only on the gene frequency of the parental lines. Parental lines which yield high because of low inbreeding will produce a synthetic equal hi yield to a synthetic produced from low yielding highly inbred lines if the gene frequency of the highly inbred lines equals the gene frequency of the less inbred lines.

Key Words: Wright's Formula • Epistasis

² Assistant Professor, Department of Soil and Crop Science, Texas A&M University, College Station, Texas 77843.

Received for publication July 20, 1968.