Identifying populations useful for improving parents of a single cross based on net transfer of alleles

Summary Theory and methods for identifying populations (P _y ) with the highest frequency of favorable dominant alleles not present in an elite single cross (I ₁× I ₂) have been developed recently. During selection, new favorable alleles can be transferred from P _y to either I ₁ or I ₂ only at the risk of losing favorable alleles already present in the single cross. A net improvement (NI) statistic, which estimates the relative number of favorable alleles that can be gained from P _y minus the relative number of favorable alleles that can be lost from I ₁ or I ₂, is presented. NI is calculated as maximum (I ₁×P _y –I ₁×I ₂)/2,(I ₂×P _y –I ₁×I ₂)/2]. Because I ₁ × I ₂ is constant in an experiment, the method reduces to choosing P _y populations with the best mean performance in combination with either I ₁ or I ₂. For a set of maize (Zea mays L.) grain yield data, NI was highly correlated to three other statistics proposed for choosing populations, namely: (1) minimally biased estimate (l ) of the relative number of favorable dominant alleles present in P _y but not in I ₁ and I ₂; (2) minimum upper bound on l ; and (3) predicted performance of the three-way cross P _y (I ₁× I ₂)]. While l estimates potential improvement likely to be achieved only through long-term recurrent selection, NI is probably a better predictor of short-term improvement in single-cross performance.A contribution from Lifaco Genetics, a subsidiary of Groupe Limagrain