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Probabilities of Selecting Genotypes When Testing at Several Locations¹

When lines are grown in each of several locations in a plant breeding program the rankings will seldom agree. The extent of the disagreement depends on the heritability of the trait being measured. Probabilities of any given line being selected in at least one location are presented. Use of these probabilities to aid in making decisions about resource allocation concerning the number of lines to be selected per location, the number of replications to be used, and the number of locations to use in a plant breeding program is discussed. These probabilities are correct even in the presence of genotype-environmental interactions involving changes in magnitudes of means but not rankings.

Key Words: Plant breeding • Resource allocation • Heritability • Augmented designs

² Associate professor, Dep. of Statistics, research associate, Dep. of Agronomy, and research associate and assistant, Dep. of Statistics, Iowa State Univ., Ames, IA 50011.

Received for publication May 17, 1976.