Application of Combined Multiple Linear Regression Model in Runoff Prediction

In order to improve the hydrological prediction accuracy,a shuffled frog leaping algorithm (SFLA)-combined multiple linear regression (CMLR) runoff prediction model is proposed.This paper first builds a CMLR model based on principal component analysis (PCA) data with and without dimensionality reduc...

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Main Author: GUO Cunwen
Format: Article
Language:zho
Published: Editorial Office of Pearl River 2021-01-01
Series:Renmin Zhujiang
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Online Access:http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2021.07.007
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author GUO Cunwen
author_facet GUO Cunwen
author_sort GUO Cunwen
collection DOAJ
description In order to improve the hydrological prediction accuracy,a shuffled frog leaping algorithm (SFLA)-combined multiple linear regression (CMLR) runoff prediction model is proposed.This paper first builds a CMLR model based on principal component analysis (PCA) data with and without dimensionality reduction;then optimizes the CMLR constant term,partial regression coefficient and combined weight coefficient by the SFLA to establish a SFLA-CMLR runoff prediction model;finally apply the SFLA-CMLR model on two examples of annual runoff prediction,and establishes the SFLA-PCA-MLR,SFLA-PCA-SVM (support vector machine),(least squares) LS-PCA-MLR,PCA-SVM,with dimensionality reduction of PCA,as well as SFLA-MLR,SFLA-SVM,LS-MLR,SVM,without dimensionality reduction as comparative prediction models.The results show that the average relative error of the SFLA-CMLR model for the annual runoff prediction of the two examples is 1.54% and 4.63%,respectively,and the prediction accuracy is better than that of SFLA-PCA-MLR and other 8 models.Therefore,it has better prediction accuracy and generalization ability.
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spelling doaj-art-88b553b093d14f75acc0dcf54f6033202025-01-15T02:29:03ZzhoEditorial Office of Pearl RiverRenmin Zhujiang1001-92352021-01-014247647698Application of Combined Multiple Linear Regression Model in Runoff PredictionGUO CunwenIn order to improve the hydrological prediction accuracy,a shuffled frog leaping algorithm (SFLA)-combined multiple linear regression (CMLR) runoff prediction model is proposed.This paper first builds a CMLR model based on principal component analysis (PCA) data with and without dimensionality reduction;then optimizes the CMLR constant term,partial regression coefficient and combined weight coefficient by the SFLA to establish a SFLA-CMLR runoff prediction model;finally apply the SFLA-CMLR model on two examples of annual runoff prediction,and establishes the SFLA-PCA-MLR,SFLA-PCA-SVM (support vector machine),(least squares) LS-PCA-MLR,PCA-SVM,with dimensionality reduction of PCA,as well as SFLA-MLR,SFLA-SVM,LS-MLR,SVM,without dimensionality reduction as comparative prediction models.The results show that the average relative error of the SFLA-CMLR model for the annual runoff prediction of the two examples is 1.54% and 4.63%,respectively,and the prediction accuracy is better than that of SFLA-PCA-MLR and other 8 models.Therefore,it has better prediction accuracy and generalization ability.http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2021.07.007runoff predictioncombined multiple linear regressiondimensionality reductionshuffled frog leaping algorithmsparameter optimization
spellingShingle GUO Cunwen
Application of Combined Multiple Linear Regression Model in Runoff Prediction
Renmin Zhujiang
runoff prediction
combined multiple linear regression
dimensionality reduction
shuffled frog leaping algorithm
sparameter optimization
title Application of Combined Multiple Linear Regression Model in Runoff Prediction
title_full Application of Combined Multiple Linear Regression Model in Runoff Prediction
title_fullStr Application of Combined Multiple Linear Regression Model in Runoff Prediction
title_full_unstemmed Application of Combined Multiple Linear Regression Model in Runoff Prediction
title_short Application of Combined Multiple Linear Regression Model in Runoff Prediction
title_sort application of combined multiple linear regression model in runoff prediction
topic runoff prediction
combined multiple linear regression
dimensionality reduction
shuffled frog leaping algorithm
sparameter optimization
url http://www.renminzhujiang.cn/thesisDetails#10.3969/j.issn.1001-9235.2021.07.007
work_keys_str_mv AT guocunwen applicationofcombinedmultiplelinearregressionmodelinrunoffprediction