不同连锁群上多基因杂交及回交世代方差分量的分解

Resolution on the component in genetic variances of cross and backcross generations of polygenes in different linkage groups

若控制某一数量性状的多基因分散于Ｍ个连锁群，每个连锁群上有Ｋｍ个多基因．当两纯系（Ｐ１和Ｐ２）存在∑Ｍｍ＝１Ｋｍ对基因差异，Ｐ１中有∑Ｍｍ＝１（Ｋｍ－Ｋ′ｍ）个显性纯合位点及∑Ｍｍ＝１Ｋ′ｍ个隐性纯合位点，Ｐ２中相应有∑Ｍｍ＝１（Ｋｍ－Ｋ′ｍ）个隐性纯合位点及∑Ｍｍ＝１Ｋ′ｍ个显性纯合位点．其中∑Ｍｍ＝１（Ｋｍ－Ｋ′ｍ）个基因座中有∑Ｍｍ＝１Ｎｍ个基因显性方向为负，∑Ｍｍ＝１Ｋ′ｍ个基因座中有∑Ｍｍ＝１Ｎ′ｍ个基因座显性方向为负时。

If polygenes that control one quantitative character is dispersed in M linkage groups,there are K m genes in every linkage group.Assuming ∑Mm=1K m pairs of different genes between two pure parental lines (P 1 and P 2),there are ∑Mm=1(K m-K′ m) pairs of dominant homozygosis locus and ∑Mm=1K′ m pairs of in P 1, ∑Mm=1(K m-K′ m) pairs of recessive homozygosis locus K′ pairs of dominant homozygosis locus in P 2.When the dominance direction of ∑Mm=1N m gene loci in ∑Mm=1(K m-K′ m) gene loci ,and that of ∑Mm=1N′ m gene loci in ∑Mm=1K′ m gene are negative,the resolution form of every term in the variance of F 2 and backcross generation is obtained.