红小豆高产栽培数学模型研究

【目的】研究红小豆高产栽培数学模型，为改进红小豆高产栽培技术措施提供参考。【方法】采用五因素二次回归正交旋转组合设计，建立红小豆产量（Y）与播种期（X1）、种植密度（X2）、N（X3）、P2O5（X4）和K20（X5）之间的数学模型，模拟寻优。【结果】采用4月下旬播种、密度11．66万～12．34万株／ha、纯N43．92～50．37kg／ha、P20557．353～62．998kg／ha、K2028．335～31．665kg／ha的综合栽培措施，可使红小豆获得高于1255．09kg／ha的产量。【结论】采用五元二次回归正交旋转组合设计建立基于播期、种植密度及N、P、K施用量5个因子的红小豆高产栽培数学模型具有可行性。在重庆万州生态条件下，红小豆生产上还需增施P肥。

Study on high-yield cultivation mathematical model for red adzuki bean

[Objective]The mathematical model for high-yield cultivation of red adzuki bean was studied to provide refer- ences for improving relevant cultivation techniques and measures. [Method]Using quadratic regression orthogonal rotation combination design of five factors, the mathematical models between red adzuki bean yield （y） and sowing time （X1）, plant densities （Xz） ,pure N（X3）, P205（X4） and K20（X5）were established for simulation-optimization. [Result]The red adzuki bean yield surpassed 1255.09 kg/ha when sowed in late April with density of 116.6-123.4 thousands plants/ha and sprayed with pure N 43.92-50.37 kg/ha, P205 57.35342.998 kg/ha and K20 28.335-31.665 kg/ha. [Conclusion]Quadratic orthogonal rotation combi- nation design with five factors （sowing time, planting density and NPK rates） was workable for building mathematical model for high-yield cultivation of red adzuki bean. In Wanzhou ecological conditions, red bean production is still in need of additional P fertilizer.