Optimum number of crosses and progeny per cross in breeding self-fertilizing crops. II. Numerical results based on expected selection responses (general case)

Huehn, M. (2005) Optimum number of crosses and progeny per cross in breeding self-fertilizing crops. II. Numerical results based on expected selection responses (general case). Cereal Research Communications, 33 (2-3). pp. 501-508. ISSN 0133-3720

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Abstract

Based on the approach of maximization of total selection response (response from selection between crosses plus response from selection within crosses), optimum number of crosses and progeny per cross in the breeding of self-fertilizing crops have been determined. Optimum numbers of crosses and maximum selection responses depend on testing capacity, number of selected crosses, number of lines selected from each selected cross, and heritability.For the general case of various numbers of selected crosses and various numbers of selected lines from each selected cross, the main results are: The maximum selection response increases (i) with an increasing testing capacity, (ii) with an increasing heritability, (iii) with a decreasing number of selected crosses and (iv) with a decreasing number of selected lines from each selected cross.If a certain predetermined fraction of the total testing capacity should be finally selected, the maximum selection response (a) exhibits a maximum for very small numbers of selected crosses and then steadily decreases (very slowly) with increasing number of selected crosses, (b) increases with increasing heritability, (c) increases with decreasing selected fraction, and (d) increases with increasing testing capacity.

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