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A method for computing inbreeding in advanced generations of synthetic varieties was demonstrated. With a knowledge of the effect of inbreeding on the productivity of a particular crop species, a plant breeder, by applying the formulae derived in this paper, can determine the effect of varying the number of parents used to produce a synthetic variety, the amount of inbreeding of parents, if any, that is desirable, and the synthetic generation that should be utilized for agronomic production.
Key Words: Heterosis Polyploids Coefficient of parentage Probability Self-fertilization
2 Research Geneticist, Crops Research Division, Agricultural Research Service, U. S. Department of Agriculture, Raleigh, N. C. 27607.
Received for publication March 3, 1969.
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