Modeling runoff in Bhima River catchment, India: A comparison of artificial neural networks and empirical models

Pradip Dalavi, S. R. Bhakar, Jitendra Rajput, Venkatesh Gaddikeri, Ravindra Kumar Tiwari, Abhishek Shukla, Dinesh Kumar Vishwakarma
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Abstract

Effective water resource management in gauged catchments relies on accurate runoff prediction. For ungauged catchments, empirical models are used due to limited data availability. This study applied artificial neural networks (ANNs) and empirical models to predict runoff in the Bhima River basin. Among the tested models, the ANN-5 model, which utilized rainfall and one-day delayed rainfall as inputs, demonstrated superior performance with minimal error and high efficiency. Statistical results for the ANN-5 model showed excellent outcomes during both training (R = 0.95, NSE = 0.89, RMSE = 17.39, MAE = 0.12, d = 0.97, MBE = 0.12) and testing (R = 0.94, NSE = 0.88, RMSE = 11.47, MAE = 0.03, d = 0.97, MBE = 0.03). Among empirical models, the Coutagine model was the most accurate, with R = 0.82, MBE = 74.36, NSE = 0.94, d = 0.82, KGE = 0.76, MAE = 70.01, MAPE = 20.6%, NRMSE = 0.22, RMSE = 87.4, and DRV = −9.2. In contrast, Khosla's formula (KF) significantly overestimated runoff. The close correlation between observed and ANN-predicted runoff data underscores the model's utility for decision-makers in inflow forecasting, water resource planning, management, and flood forecasting.
印度比马河流域的径流建模:人工神经网络与经验模型的比较
对测站集水区进行有效的水资源管理有赖于准确的径流预测。对于无测站集水区,由于可用数据有限,只能使用经验模型。本研究采用人工神经网络(ANN)和经验模型来预测比马河流域的径流。在测试的模型中,ANN-5 模型利用降雨量和一天延迟降雨量作为输入,表现出卓越的性能,误差极小,效率极高。ANN-5 模型的统计结果表明,在训练(R = 0.95,NSE = 0.89,RMSE = 17.39,MAE = 0.12,d = 0.97,MBE = 0.12)和测试(R = 0.94,NSE = 0.88,RMSE = 11.47,MAE = 0.03,d = 0.97,MBE = 0.03)期间均取得了优异成绩。在经验模型中,Coutagine 模型最准确,R = 0.82,MBE = 74.36,NSE = 0.94,d = 0.82,KGE = 0.76,MAE = 70.01,MAPE = 20.6%,NRMSE = 0.22,RMSE = 87.4,DRV = -9.2。相比之下,Khosla 公式(KF)明显高估了径流量。观测到的径流数据与 ANN 预测的径流数据之间的密切相关性强调了该模型在流入量预测、水资源规划、管理和洪水预报方面对决策者的实用性。
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