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基于AquaCrop和NSGA-II的南疆核桃地下滴灌灌溉制度优化

Optimization of irrigation scheduling for underground drip-irrigated walnuts in Southern Xinjiang,China based on the AquaCrop model

  • 摘要: 为探究南疆核桃适宜的地下滴灌灌溉制度,该研究于2023年和2024年在新疆阿克苏地区对树龄16 a的“温185”核桃进行试验,设置75%ETc(ETc为作物蒸发蒸腾量,W1)、100%ETc(W2)、125%ETc(W3)和150%ETc(W4)4种灌水定额处理,构建了基于AquaCrop模型和NSGA-II算法的核桃灌溉制度优化模型,以产量最大化,灌水量最小为目标函数对模型求解,通过利用优劣解距离法(technique for order preference by similarity to ideal solution,TOPSIS)对最优解集进行评价,得到南疆地下滴灌核桃的最优灌溉制度。结果表明,适当增加灌水定额可以提高核桃产量,水分利用效率与灌溉水利用效率随灌水定额的增加而减少;AquaCrop模型模拟2 a冠层覆盖度的决定系数R2≥0.94,均方根误差(root mean square error,RMSE)和标准化均方根误差(normal1zed root mean square error,NRMSE)分别为3.01%~8.52%和5.02%~17.71%,Nash效率系数(Nash-Sutcliffe model effciency coefficient,EF)和拟合度指数(d)分别为0.57~0.89和0.90~0.99;模拟值与实测土壤含水率R2≥0.82,RMSE和NRMSE分别为9.02%~21.51%和4.31%~9.81%,EF和d分别为0.41~0.79和0.89~0.95;产量模拟值与实测值R2、RMSE、NRMSE、EF和d变化范围分别为0.89~0.95、114.57~178.73 kg/hm2、0.04%~0.05%、0.14~0.48和0.86~0.88;AquaCrop模拟不同灌水场景模拟结果表明,方案T9灌溉定额为6 500 m3/hm2,灌水周期为7 d时产量最高达4 080.34 kg/hm2;基于AquaCrop-NSGA-II算法的双目标优化模型优化结果显示,最佳灌水方案S7灌水周期为11 d,总灌溉量为3 520.22 m3/hm2,产量为4 021.75 kg/hm2,与AquaCrop模型模拟得到的最大产量对应的灌水方案T9相比,产量仅下降了1.44%,但灌溉用水量减少了2 979.78 m3/hm2。推荐南疆核桃地下滴灌灌溉周期为11 d,灌水次数为10次,灌溉定额为3 520.22 m3/hm2。该研究构建的基于AquaCrop模型模拟及多目标优化算法可以用于优化南疆核桃地下滴灌灌溉制度。

     

    Abstract: To investigate the optimal subsurface drip irrigation regime for walnut in southern Xinjiang, field experiments were conducted during 2023 and 2024 in the Aksu region, Xinjiang of China. The study focused on 16-year-old "Wen 185" walnut trees with four irrigation quota treatments: 75%ETc (crop evapotranspiration), 100%ETc, 125%ETc, and 150%ETc. An optimization model for the walnut irrigation regime was developed based on the AquaCrop model and non-dominated sorting genetic algorithm II (NSGA-II) algorithm, aiming to maximize yield and minimize irrigation amount. Using the technique for order preference by similarity to an ideal solution (TOPSIS) method, the optimal irrigation regime for subsurface drip-irrigated walnuts in the southern Xinjiang was evaluated. Results showed that moderately increasing the irrigation quota could enhance walnut yield. However, the water use efficiency and irrigation water use efficiency decreased with higher irrigation quotas. The AquaCrop model's coefficient of determination (R2) for canopy coverage over two years was not less than 0.94, with root mean square error (RMSE) and normalized RMSE (NRMSE) ranging from 3.01% to 8.52% and 5.02% to 17.71%, respectively. Nash-Sutcliffe efficiency (EF) and goodness-of-fit index ranged from 0.57 to 0.89 and 0.90 to 0.99, respectively. For soil moisture content, R2 was not less than 0.82, with RMSE and NRMSE varying from 9.02% to 21.51% and 4.31% to 9.81%, respectively, and EF and goodness-of-fit index ranging from 0.41 to 0.79 and 0.89 to 0.95, respectively. Yield simulation values versus actual measurements had R2 of 0.89-0.95, RMSE of 114.57-178.73 kg/hm2, NRMSE of 0.04%-0.05%, EF of 0.14-0.48, and d, 0.84 to 0.88. AquaCrop simulation results for different irrigation scenarios showed that scenario T9, with an irrigation quota of 6 500 m3/hm2 and an irrigation interval of 7 days, yielded the highest production at 4 080.34 m3/hm2. The dual-objective optimization model based on AquaCrop-NSGA-II revealed that scenario S7, with an irrigation interval of 11 days and a total irrigation amount of 3 520.22 m3/hm2, produced a yield of 4 021.75 kg/hm2. Compared to scenario T9, which had the highest yield in the AquaCrop model, scenario S7 resulted in a yield decrease of 1.44%, but saved 2 979.78 m3/hm2 of water. It is recommended that the subsurface drip irrigation regime for walnut in the southern Xinjiang adopts an irrigation interval of 11 d, with 10 irrigation events and an irrigation quota of 3 520.22 m3/hm2. The approach integrating AquaCrop model simulation and multi-objective optimization algorithm developed in this study can be used to optimize the subsurface drip irrigation regime for walnut in the southern Xinjiang of China.

     

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