回归最优设计法在水培白菜肥料效应中的应用

Study on Fertilization Effect by Optimal Design and Hydroponics

利用“416-A”回归最优设计研究Ca(NO3)2·4H2O、KNO3、NH4H2PO4、MgSO4·7H2O对水培白菜的产量效应。数学模拟建立了四种肥料与白菜产量的回归方程:y=97.808-4.337x1+3.445x2-2.690x3+8.299x4-6.894x1x2+17.331x1x3-7.389x1x4-3.191x2x3+6.364x2x4+0.063x3x4-9.629x12-17.150x22-17.915x32-24.066x42。经检验回归关系显著,并对回归系数进行了检验。从回归方程可得:MgSO4·7H2O对产量以直接作用为主,其次为Ca(NO3)2·4H2O、KNO3和NH4H2PO4。Ca(NO3)2·4H2O与其它三种肥料均有交互作用,其中与NH4H2PO4交互作用达极显著水平。从产量效应回归关系优选出配方浓度为:Ca(NO3)2·4H2O:971mg/L;KNO3:931mg/L;NH4H2PO4:204mg/L;MgSO4·7H2O:581mg/L。采用回归最优设计结合水培研究肥料效应精确可行。

The effects of Ca（NO3）2·4H2O、KNO3、NH4H2PO4、MgSO4·7H2O to the yield of hydroponic cabbage was studied by optimal design 416-A. A fertilization effect equation of the relationship between the yield of cabbage and the usage of four fertilizers was established by mathematic modeling, it was： y=97.808-4.337x1＋3.445x2-2.690x3＋8.299x4-6.894x1x2＋17.331x1X3-7.389x1x4-3.191x2x3＋6.364x2x4＋0.063x3x4-9.629x1^2-17.150x2^2-17.915x3^2-24.066x4^2 .The regression relationship was tested significant and all the regressive coefficients were also tested. The regressive equation showed： MgSO4·TH2O mainly effected the yield directly, the less was Ca（NO3）3·4H2O, KNO3, NH4H2PO4 by sequent. Ca（NO3）2·4H2O has interactive effect with the other three fertilizers, in which the interactive effect with NH4H2PO4was very significant. The concentration of the selected nutrient solution composition by regressive relationship was：Ca（NO3）2·4H2O：971mg/L;KNO3：931mg/L;NH4H2PO4：2O4mg/L;MgSO4·7H2O：581mg/L.The fertilization effect studied by the optimal design with hydroponics was precise and effective.