An unbiased estimator for identifying lines useful for the improvement of elite single crosses, based on a combining ability model
Hohls, T. | Clarke, G.P.Y. | Shanahan, P.E. | Gevers, H.O.
Elite single crosses are frequently identified through combining ability analysis of the results obtained from a diallel cross of selected inbred lines. The parents of these elite single crosses can be improved further by identifying a source of favourable alleles that are not present in the single cross. An unbiased estimator of the potential of an inbred line to donate favourable alleles, mu a(B + G), that is easy to compute and free from the assumption of complete dominance, is proposed. The theory for the identification of donor inbred lines is based on a combining ability model. Five methods of identifying donor lines are compared theoretically with the proposed unbiased estimator. A worked example, based on a 12 X 12 diallel cross across two environments, illustrates the relationships between the various statistics used to identify donors. The unbiased estimator, mu a(B + G), is shown to provide an appropriate means of identifying donor inbred lines.
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