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利用 HHO 和 PSO 算法优化的混合支持向量回归预测气象干旱。

Prediction of meteorological drought by using hybrid support vector regression optimized with HHO versus PSO algorithms.

机构信息

Punjab Agricultural University, Regional Research Station, Bathinda-151001, Punjab, India.

Southern Public Works Laboratory (LTPS), Tamanrasset Antenna 11000, Tamanrasset, Algeria.

出版信息

Environ Sci Pollut Res Int. 2021 Aug;28(29):39139-39158. doi: 10.1007/s11356-021-13445-0. Epub 2021 Mar 22.

Abstract

Drought is considered one of the costliest natural disasters that result in water scarcity and crop damage almost every year. Drought monitoring and forecasting are essential for the efficient management of water resources and sustainability in agriculture. However, the design of a consistent drought prediction model based on the dynamic relationship of the drought index with its antecedent values remains a challenging task. In the present research, the SVR (support vector regression) model was hybridized with two different optimization algorithms namely; Particle Swarm Optimization (PSO) and Harris Hawks Optimization (HHO) for reliable prediction of effective drought index (EDI) 1 month ahead, at different locations of Uttarakhand State of India. The inputs of the models were selected through partial autocorrelation function (PACF) analysis. The output produced by the SVR-HHO and SVR-PSO models was compared with the EDI estimated from observed data using five statistical indicators, i.e., RMSE (Root Mean Square Error), MAE (Mean Absolute Error), COC (Coefficient of Correlation), NSE (Nash-Sutcliffe Efficiency), WI (Willmott Index), and graphical inspection of radar-chart, time-variation plot, box-whisker plot, and Taylor diagram. Appraisal of results indicates that the SVR-HHO model (RMSE = 0.535-0.965, MAE = 0.363-0.622, NSE = 0.558-0.860, COC = 0.760-0.930, and WI = 0.862-0.959) outperformed the SVR-PSO model (RMSE = 0.546-0.967, MAE = 0.372-0.625, NSE = 0.556-0.855, COC = 0.758-0.929, and WI = 0.861-0.956) in predicting EDI. Visual inspection of model performances also showed a better performance of SVR-HHO compared to SVR-PSO in replicating the median, inter-quartile range, spread, and pattern of the EDI estimated from observed rainfall. The results indicate that the hybrid SVR-HHO approach can be utilized for reliable EDI predictions in the study area.

摘要

干旱被认为是最昂贵的自然灾害之一,几乎每年都会导致水资源短缺和作物受损。干旱监测和预测对于水资源的有效管理和农业的可持续性至关重要。然而,基于干旱指数与其前期值的动态关系设计一致的干旱预测模型仍然是一项具有挑战性的任务。在本研究中,支持向量回归(SVR)模型与两种不同的优化算法,即粒子群优化(PSO)和哈里斯鹰优化(HHO)进行了杂交,以可靠地预测印度北阿坎德邦不同地点的有效干旱指数(EDI)提前 1 个月。模型的输入通过偏自相关函数(PACF)分析进行选择。SVR-HHO 和 SVR-PSO 模型产生的输出与使用五个统计指标(均方根误差(RMSE)、平均绝对误差(MAE)、相关系数(COC)、纳什-苏特克里夫效率(NSE)、威尔莫特指数(WI))从观测数据中估计的 EDI 进行比较,以及雷达图、时变图、箱线图和泰勒图的图形检查。结果评估表明,SVR-HHO 模型(RMSE=0.535-0.965,MAE=0.363-0.622,NSE=0.558-0.860,COC=0.760-0.930,WI=0.862-0.959)优于 SVR-PSO 模型(RMSE=0.546-0.967,MAE=0.372-0.625,NSE=0.556-0.855,COC=0.758-0.929,WI=0.861-0.956)在预测 EDI 方面的性能。模型性能的可视化检查也表明,SVR-HHO 比 SVR-PSO 更能复制从观测降雨量中估计的 EDI 的中位数、四分位距、离散度和模式。结果表明,混合 SVR-HHO 方法可用于研究区域内可靠的 EDI 预测。

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