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Application of wavelet-artificial intelligence hybrid models for water quality prediction: a case study in Aji-Chay River, Iran

机译:小波-人工智能混合模型在水质预测中的应用:以伊朗阿吉-柴河为例

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摘要

The accuracy of Artificial Neural Network (ANN), Adaptive Neuro-Fuzzy Inference System (ANFIS), wavelet-ANN and wavelet-ANFIS in predicting monthly water salinity levels of northwest Iran's Aji-Chay River was assessed. The models were calibrated, validated and tested using different subsets of monthly records (October 1983 to September 2011) of individual solute (Ca2+, Mg2+, Na+, SO4 (2-) and Cl-) concentrations (input parameters, meq L-1), and electrical conductivity-based salinity levels (output parameter, A mu S cm(-1)), collected by the East Azarbaijan regional water authority. Based on the statistical criteria of coefficient of determination (R-2), normalized root mean square error (NRMSE), Nash-Sutcliffe efficiency coefficient (NSC) and threshold statistics (TS) the ANFIS model was found to outperform the ANN model. To develop coupled wavelet-AI models, the original observed data series was decomposed into sub-time series using Daubechies, Symlet or Haar mother wavelets of different lengths (order), each implemented at three levels. To predict salinity input parameter series were used as input variables in different wavelet order/level-AI model combinations. Hybrid wavelet-ANFIS (R-2 = 0.9967, NRMSE = 2.9 x 10(-5) and NSC = 0.9951) and wavelet-ANN (R-2 = 0.996, NRMSE = 3.77 x 10(-5) and NSC = 0.9946) models implementing the db4 mother wavelet decomposition outperformed the ANFIS (R-2 = 0.9954, NRMSE = 3.77 x 10(-5) and NSC = 0.9914) and ANN (R-2 = 0.9936, NRMSE = 3.99 x 10(-5) and NSC = 0.9903) models.
机译:评估了人工神经网络(ANN),自适应神经模糊推理系统(ANFIS),小波ANN和小波ANFIS在预测伊朗西北部Aji-Chay河水月度盐度中的准确性。使用各个溶质(Ca2 +,Mg2 +,Na +,SO4(2-)和Cl-)浓度(输入参数,meq L-1)的每月记录的不同子集(1983年10月至2011年9月)对模型进行校准,验证和测试,以及基于电导率的盐度水平(输出参数,AμS cm(-1)),由东阿扎拜疆地区水务部门收集。根据确定系数(R-2),归一化均方根误差(NRMSE),纳什-苏克利夫效率系数(NSC)和阈值统计(TS)的统计标准,发现ANFIS模型优于ANN模型。为了开发耦合的小波AI模型,使用不同长度(顺序)的Daubechies,Symlet或Haar母小波将原始观测数据序列分解为子时间序列,每个子波在三个级别上实现。为了预测盐度,将输入参数系列用作不同小波阶/水平-AI模型组合中的输入变量。混合小波-ANFIS(R-2 = 0.9967,NRMSE = 2.9 x 10(-5)和NSC = 0.9951)和小波-ANN(R-2 = 0.996,NRMSE = 3.77 x 10(-5)和NSC = 0.9946)实施db4母小波分解的模型优于ANFIS(R-2 = 0.9954,NRMSE = 3.77 x 10(-5)和NSC = 0.9914)和ANN(R-2 = 0.9936,NRMSE = 3.99 x 10(-5)和NSC = 0.9903)模型。

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