春大豆泉豆20高产栽培综合农艺措施数学模型研究

    Study on the Mathematical Model of Comprehensive Agronomic Measures for High-yield Cultivation of Spring Soybean Variety 'Quandou 20'

    • 摘要: 为探索泉豆20高产高效肥密栽培方案,加快品种的推广应用,采用四因子(全实施)五水平二次通用旋转组合设计,研究密度(X1)、氮肥(X2)、磷肥(X3)和钾肥(X4)4个因素对泉豆20产量的影响,建立了以泉豆20产量为目标函数的二次回归数学模型,分析各个因子对产量的主效应及互作效应。结果表明:试验建立的二次回归数学模型达极显著水平,回归模型与实际情况的拟合度较好。回归系数显著性检验结果显示,种植密度的一次项为显著水平、二次项为极显著水平;氮肥、磷肥、钾肥的二次项均为极显著水平;磷肥和钾肥的互作效应为显著水平。各因子对泉豆20产量的影响顺序是:钾肥 > 密度 > 氮肥 > 磷肥。根据该模型,初步确定了泉豆20产量超过2270.07 kg·hm−2的栽培方式为:种植密度24.31~26.23 万株·hm−2,氮肥78.42~91.59 kg·hm−2,磷肥252.60~311.10 kg·hm-2,钾肥81.96~93.51 kg·hm−2

       

      Abstract: In order to explore the high-yield and high-efficiency fertilizer and density cultivation scheme of Quandou 20 and accelerate the popularization and application of varieties, a four-factor (full implementation) with five-level quadratic general rotation combination design was used to study the effects of density (X1), nitrogen fertilizer (X2), phosphorus fertilizer (X3) and potassium fertilizer (X4) on the yield of Quandou 20. Then, the second-order regression mathematical model with the yield of Quandou 20 as the objective function was established, and the main effects and interaction effects of each factor on the yield were analyzed. The results showed that the second-order regression mathematical model established by the experiment reached a very significant level, and the regression model had a good fit with the actual situation. The significance test results of regression coefficient showed that the first order term of planting density was significant level, and the second order term was extremely significant level. The quadratic terms of nitrogen fertilizer, phosphorus fertilizer and potassium fertilizer were all extremely significant; the interaction effect of phosphate fertilizer and potassium fertilizer was significant. The order of influence of each factor on the yield of Quandou 20 was as follows: potassium fertilizer > density > nitrogen fertilizer > phosphorus fertilizer. According to the model, the cultivation methods of Quandou 20 with the yield more than 2270.07 kg·hm−2 were determined as follows: planting density of 243 100-262 300 plants·hm−2, nitrogen fertilizer of 78.42-91.59 kg·hm−2, phosphorus fertilizer of 252.60-311.10 kg·hm−2, potassium fertilizer of 81.96-93.51 kg·hm−2.

       

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