Through the methods of S. N. HAZEL (1943), I made the selection index of F
2 poputation on three characters, Iength of cocoon filament (m. X
1), weight of cocoon filament ( cg, X
2) and width of cocoon (1/10mm, X
3), of silkworms. Also I, calculated heritabilities and genic correlation by the way. Heritabilites and genic correlations were gained by means of F
2 population and back-cros;s populations and their values are given in table 3. The selection index with three characters represented by units in brackets will be given as f emale I = 22X
1 + 852X
2 + 42X
3 male I = 66X
1 - 854X
2 - 154X
3 if breeding purpose is H=G
1+G
2 where X
2 is a phenotypic value. G
1 is a additive genic value and H is the genic value of their composite characters. In the real case, I think that we can carry F
2 to F
3 by random mating, after excluding inferior in dividuals of F
2 population by these indexes. Besides, these three characters are not meaningful particularly, and what is breeding purpose, is another pr.oblem.
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