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数量遗传的基因模式为 P=G+E,将其发展到多个数量性状,其遗传模式为:令 P~T=(X_1,X_2,……,X_m),G~T=(G_1,G_2,……,G_m),E~T=(E_1,E_2,……,E_m),则(1)仍可用 P=G+E 表示。假设 P—N_m(μ,∑_p),G—N_m(μ,∑_g),E—N_m(O,∑),G 与 E 独立,则有∑_p=∑_g+∑_e (2)其中∑_p、∑_g与∑_e分别为 P 的表型,遗传和环境的协方差阵。主成分性状是一个研究多个数量性状的重要方
The genetic model of quantitative inheritance is P = G + E, which is developed into a number of quantitative traits. The genetic model is: let P ~ T = (X_1, X_2, ..., X_m), G ~ T = (G_1, , ..., G_m), E ~ T = (E_1, E_2, ..., E_m), then (1) can still be expressed by P = G + E. Suppose P_N_m (μ, Σ_p), G_N_m (μ, Σ_g), E_N_m (O, Σ) and G and E are independent, then Σ_p = Σ_g + Σ_e where Σ_p , Σ_g and Σ_e are the phenomenological, genetic and environmental covariance matrix of P, respectively. The principal component trait is an important one for studying multiple quantitative traits