Using the quadratic saturation D-optimum design,the yield effects of N application rate and planting density on summer-sowing mung bean were studied,and corresponding mathematical models were developed.The results showed that the density effect was greater than the N fertilizer effect,and they had negative interaction.The N fertilizer could be appropriately reduced through increasing density.The maximum yield of mung bean could be up to 1 664.45 kg/hm2 under the optimal combination of N fertilizer (53.73 kg/hm2) and density (141 700 plants/hm2).The combinations of yield exceeding 1 600 kg/hm2 were N fertilizer of 47.96 ～59.54 kg/hm2 and density of 134 500 ～148 800 plants/hm2.%应用二次饱和D—最优设计,研究了施氮量和种植密度对绿豆的产量效应,建立了施氮量和密度与夏直播绿豆产量的数学模型.分析结果表明,密度效应大于施氮量效应,二者呈负向交互作用,密度增加,施氮量可适当减少.施氮量与密度的最优组合为:每公顷施氮53.73 kg,密度14.17万株,绿豆最高产量可达到1 664.45 kg/hm2.产量≥1 600 kg/hm2的措施组合为:每公顷施氮47.96～ 59.54 kg,种植密度(13.45 ～14.88)万株.
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