A New Approach for Modeling Sediment-Discharge Relationship: Local Weighted Linear Regression

Accurate estimation of suspended sediment is important for water resources projects. The accuracy of local weighted linear regression (LWLR) technique is investigated in this study for modeling streamflow-suspended sediment relationship. Daily data from two stations on the Eel River in California were used in the applications. In the first part of the study, the LWLR results were compared with those of the least square support vector machine (LSSVM), artificial neural networks (ANNs) and sediment rating curve (SRC) for modeling sediment data of upstream and downstream stations, separately. Root mean square errors (RMSE), mean absolute errors (MAE) and determination coefficient (R2) statistics were used for comparison of the applied models Comparison results indicated that the LWLR model performed better than the LSSVM, ANN and SRC models. Accuracies of the sediment modeling increased by the LWLR model compared with the LSSVM model: 14 % (60 %) and 33 % (42 %) decrease in the RMSE (MAE) values for the upstream and downstream stations, respectively. The second part of the study focused on the comparison of the models in estimating downstream suspended sediment data by using data from both stations. LWLR was found to be better than the LSSVM, ANN and SRC models. The RMSE accuracy of the LSSVM model was increased by 39 % using the LWLR model.

[1]  Michael H. Kutner Applied Linear Statistical Models , 1974 .

[2]  W. Cleveland Robust Locally Weighted Regression and Smoothing Scatterplots , 1979 .

[3]  W. Cleveland,et al.  Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting , 1988 .

[4]  W. Härdle Applied Nonparametric Regression , 1991 .

[5]  J. Friedman Multivariate adaptive regression splines , 1990 .

[6]  J. Powell,et al.  Nonparametric and Semiparametric Methods in Econometrics and Statistics , 1993 .

[7]  P. Allison Multiple Regression: A Primer , 1994 .

[8]  Jianqing Fan,et al.  Local polynomial modelling and its applications , 1994 .

[9]  B. Silverman,et al.  Nonparametric regression and generalized linear models , 1994 .

[10]  C. Daly,et al.  A Statistical-Topographic Model for Mapping Climatological Precipitation over Mountainous Terrain , 1994 .

[11]  B. Silverman,et al.  Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .

[12]  Y. Hung,et al.  Use of artificial neural networks , 1995 .

[13]  J V Tu,et al.  Advantages and disadvantages of using artificial neural networks versus logistic regression for predicting medical outcomes. , 1996, Journal of clinical epidemiology.

[14]  Emilio Casetti,et al.  The Expansion Method, Mathematical Modeling, and Spatial Econometrics , 1997 .

[15]  Paul Thorsnes,et al.  Land Value and Parcel Size: A Semiparametric Analysis , 1998 .

[16]  Upmanu Lall,et al.  Locally Weighted Polynomial Estimation of Spatial Precipitation , 1998 .

[17]  Johan A. K. Suykens,et al.  Least squares support vector machine classifiers: a large scale algorithm , 1999 .

[18]  John Fox,et al.  Nonparametric simple regression , 2000 .

[19]  M. Charlton,et al.  Quantitative geography : perspectives on spatial data analysis by , 2001 .

[20]  Guohua Pan,et al.  Local Regression and Likelihood , 1999, Technometrics.

[21]  John Fox Multiple and Generalized Nonparametric Regression , 2000 .

[22]  M. Charlton,et al.  Spatial Variations in School Performance: A Local Analysis Using Geographically Weighted Regression , 2001 .

[23]  M. Wand Local Regression and Likelihood , 2001 .

[24]  H. K. Cigizoglu,et al.  ESTIMATION AND FORECASTING OF DAILY SUSPENDED SEDIMENT DATA BY MULTI-LAYER PERCEPTRONS , 2004 .

[25]  Johan A. K. Suykens,et al.  Least Squares Support Vector Machine Classifiers , 1999, Neural Processing Letters.

[26]  Roland K. Price,et al.  Data-driven modelling in the context of sediment transport , 2005 .

[27]  Wesley W. Wallender,et al.  Predictability of River Flow and Suspended Sediment Transport in the Mississippi River Basin: A Non-linear Deterministic Approach , 2005 .

[28]  M. Clark,et al.  Probabilistic Quantitative Precipitation Estimation in Complex Terrain , 2005 .

[29]  Ozgur Kisi,et al.  Methods to improve the neural network performance in suspended sediment estimation , 2006 .

[30]  Surendra Kumar Mishra,et al.  Simulation of Runoff and Sediment Yield using Artificial Neural Networks , 2006 .

[31]  Bernhard Rinner,et al.  Vehicle Classification on Multi-Sensor Smart Cameras Using Feature- and Decision-Fusion , 2007, 2007 First ACM/IEEE International Conference on Distributed Smart Cameras.

[32]  Hikmet Kerem Cigizoglu,et al.  Suspended sediment load simulation by two artificial neural network methods using hydrometeorological data , 2007, Environ. Model. Softw..

[33]  Ozgur Kisi,et al.  Modelling daily suspended sediment of rivers in Turkey using several data-driven techniques / Modélisation de la charge journalière en matières en suspension dans des rivières turques à l'aide de plusieurs techniques empiriques , 2008 .

[34]  Özgür Kisi,et al.  Constructing neural network sediment estimation models using a data-driven algorithm , 2008, Math. Comput. Simul..

[35]  G. Di Mauro,et al.  Forecasting Palmer Index Using Neural Networks and Climatic Indexes , 2009 .

[36]  Davut Hanbay,et al.  Prediction of aeration efficiency on stepped cascades by using least square support vector machines , 2009, Expert Syst. Appl..

[37]  Davut Hanbay,et al.  Application of least square support vector machines in the prediction of aeration performance of plunging overfall jets from weirs , 2009, Expert Syst. Appl..

[38]  Indra Narayan Kar,et al.  Non-linear HVAC computations using least square support vector machines , 2009 .

[39]  Giovanni Coco,et al.  The use of artificial neural networks to analyze and predict alongshore sediment transport , 2010 .

[40]  Jan Adamowski,et al.  Comparison of Multivariate Regression and Artificial Neural Networks for Peak Urban Water-Demand Forecasting: Evaluation of Different ANN Learning Algorithms , 2010 .

[41]  Sabri Ahmad,et al.  Stepwise Multiple Regression Method to Forecast Fish Landing , 2010 .

[42]  Ruhaidah Samsudin,et al.  A hybrid model of self organizing maps and least square support vector machine for river flow forecasting , 2012 .

[43]  Ozgur Kisi Modeling discharge-suspended sediment relationship using least square support vector machine , 2012 .

[44]  O. Kisi,et al.  SVM, ANFIS, regression and climate based models for reference evapotranspiration modeling using limited climatic data in a semi-arid highland environment , 2012 .

[45]  R. B. Rezaur,et al.  River Suspended Sediment Prediction Using Various Multilayer Perceptron Neural Network Training Algorithms—A Case Study in Malaysia , 2012, Water Resources Management.

[46]  Ani Shabri,et al.  Streamflow forecasting using least-squares support vector machines , 2012 .

[47]  Ahmed El-Shafie,et al.  Comment on "A hybrid model of self organizing maps and least square support vector machine for river flow forecasting" by Ismail et al. (2012) , 2013 .

[48]  D. A. Sachindra,et al.  Least square support vector and multi‐linear regression for statistically downscaling general circulation model outputs to catchment streamflows , 2013 .

[49]  Epaminondas Sidiropoulos,et al.  Machine Learning Utilization for Bed Load Transport in Gravel-Bed Rivers , 2014, Water Resources Management.

[50]  Mahmut Firat,et al.  Estimation of Failure Rate in Water Distribution Network Using Fuzzy Clustering and LS-SVM Methods , 2015, Water Resources Management.

[51]  Aman Mohammad Kalteh Improving Forecasting Accuracy of Streamflow Time Series Using Least Squares Support Vector Machine Coupled with Data-Preprocessing Techniques , 2015, Water Resources Management.

[52]  Karolina Lewandowska-Gwarda,et al.  Geographically Weighted Regression in the Analysis of Unemployment in Poland , 2018, ISPRS Int. J. Geo Inf..

[53]  A. Alikhani Combination of neuro fuzzy and wavelet model usage in river engineering , 2022 .