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Twelve oat (Arena sativa L.) genotypes, chosen primarily for high grain yield, were crossed in all combinations (except two) to determine the relative magnitude of general (GCA) and specific combining ability (SCA) as well as additive (
2
) and epistatic (
2) genetic variance. Single seed descent was used to advance the material from F2 to F4. The test material consisted of 10 random F4-derived lines from each of 64 crosses and was evaluated in the F6 and F7 generation at St. Paul, Minn., in 1972 and 1973. An analysis of variance for grain yield was computed to obtain among crosses and among lines-in-crosses sums of squares for individual and combined year data. The among crosses sums of squares was partitioned into general and specific combininga bility using least squares analysis.
All sources of variation involving crosses including interactions with years were highly significant. Regarding estimates of genetic components of variance
2
and
2 
, only the estimates of
2 
exceeded twice their respective standard errors. Confidence intervals of
2
and
2 
did overlap, however. Several criteria based on halfsib family performance were compared to parental pexformance; the associations provedt o be of little use. The relatively large amount of epistatic variance is a likely explanation for these poor associations. If these results are representative of other oat breeding populations, prediction of superior crosses from only parental performance data will not be useful.
Key Words: Epistasis Grain yield Prepotency Recurrent Selection
2 Associate professors, Dep. of Agronomyan d Plant Genetics, Univ. of Minnesota, St. Paul, MN 55108.
Received for publication December 7, 1974.
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