Comparison the Performance of M5 Tree Model with the Artificial Neural Network and Support Vector Machine Models in Derivation of Flow Duration Curve, Case Study: Khazangah Station of Aras River

Flow duration curve is one of the most important and applicable signals of hydrologic response of a basin. This curve was used for analyzing the frequency of low and flood flows of a river in many hydrologic uses. Also, the flow duration curve (FDC) was used to display the complete domain of river d...

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Main Authors: Ghorban Mahtabi, Fatemeh Bayat
Format: Article
Language:fas
Published: University of Sistan and Baluchestan 2017-12-01
Series:جغرافیا و توسعه
Subjects:
Online Access:https://gdij.usb.ac.ir/article_3456_c426146b291aba8210c37e52ae398102.pdf
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author Ghorban Mahtabi
Fatemeh Bayat
author_facet Ghorban Mahtabi
Fatemeh Bayat
author_sort Ghorban Mahtabi
collection DOAJ
description Flow duration curve is one of the most important and applicable signals of hydrologic response of a basin. This curve was used for analyzing the frequency of low and flood flows of a river in many hydrologic uses. Also, the flow duration curve (FDC) was used to display the complete domain of river discharge from minimum up to maximum flood. Therefore, accurate derivation of this curves with the least error is necessary. In this study, applicability of M5 Tree Model in derivation of flow duration curve in Khazangah station located on Aras River, East Azerbaijan province was investigated and compared with the results of Artificial Neural Network (ANN)  and Support Vector Machine (SVM) models. The results of M5Tree Model showed competition of 80 percent of data for training and the remaining for the testing has the best performance in presenting  the flow duration curve with values of R2=0.992, RMSE=5.47 m3/s and MAE=4.38 m3/s. The results of different structures of Neural Network showed the best model (2 neurons for hidden layer) was obtained with values of R2=0.997, RMSE=3.91 m3/s and MAE=3.30 m3/s. Also the performance of RBF kernel of Support Vector Machine Showed this model has the best ability in simulation of flow duration curve, so that this model has lowest error values of RMSE=2.98 m3/s, MAE=2.66 m3/s and highest value of R2=0.998. Comparison the results between the intelligence models showed that each three models have proper performance in determining the discharge values of flow duration curve. From the practical view, M5Tree Model has more applicability in derivation of flow duration curve because of the simplicity of the proposed equations and calculations.
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spelling doaj.art-b867374322214e2d99b32f5547e326c72023-06-13T20:22:10ZfasUniversity of Sistan and Baluchestanجغرافیا و توسعه1735-07352676-77912017-12-01154912914210.22111/gdij.2017.34563456Comparison the Performance of M5 Tree Model with the Artificial Neural Network and Support Vector Machine Models in Derivation of Flow Duration Curve, Case Study: Khazangah Station of Aras RiverGhorban Mahtabi0Fatemeh Bayat1استادیار مهندسی آب، دانشکده کشاورزی، دانشگاه زنجان، زنجان، ایراندانشجوی کارشناسی ارشد منابع آب، دانشکده کشاورزی، دانشگاه تبریز، تبریز، ایرانFlow duration curve is one of the most important and applicable signals of hydrologic response of a basin. This curve was used for analyzing the frequency of low and flood flows of a river in many hydrologic uses. Also, the flow duration curve (FDC) was used to display the complete domain of river discharge from minimum up to maximum flood. Therefore, accurate derivation of this curves with the least error is necessary. In this study, applicability of M5 Tree Model in derivation of flow duration curve in Khazangah station located on Aras River, East Azerbaijan province was investigated and compared with the results of Artificial Neural Network (ANN)  and Support Vector Machine (SVM) models. The results of M5Tree Model showed competition of 80 percent of data for training and the remaining for the testing has the best performance in presenting  the flow duration curve with values of R2=0.992, RMSE=5.47 m3/s and MAE=4.38 m3/s. The results of different structures of Neural Network showed the best model (2 neurons for hidden layer) was obtained with values of R2=0.997, RMSE=3.91 m3/s and MAE=3.30 m3/s. Also the performance of RBF kernel of Support Vector Machine Showed this model has the best ability in simulation of flow duration curve, so that this model has lowest error values of RMSE=2.98 m3/s, MAE=2.66 m3/s and highest value of R2=0.998. Comparison the results between the intelligence models showed that each three models have proper performance in determining the discharge values of flow duration curve. From the practical view, M5Tree Model has more applicability in derivation of flow duration curve because of the simplicity of the proposed equations and calculations.https://gdij.usb.ac.ir/article_3456_c426146b291aba8210c37e52ae398102.pdfdurationdischarge flowaras rivererror valueintelligent models
spellingShingle Ghorban Mahtabi
Fatemeh Bayat
Comparison the Performance of M5 Tree Model with the Artificial Neural Network and Support Vector Machine Models in Derivation of Flow Duration Curve, Case Study: Khazangah Station of Aras River
جغرافیا و توسعه
duration
discharge flow
aras river
error value
intelligent models
title Comparison the Performance of M5 Tree Model with the Artificial Neural Network and Support Vector Machine Models in Derivation of Flow Duration Curve, Case Study: Khazangah Station of Aras River
title_full Comparison the Performance of M5 Tree Model with the Artificial Neural Network and Support Vector Machine Models in Derivation of Flow Duration Curve, Case Study: Khazangah Station of Aras River
title_fullStr Comparison the Performance of M5 Tree Model with the Artificial Neural Network and Support Vector Machine Models in Derivation of Flow Duration Curve, Case Study: Khazangah Station of Aras River
title_full_unstemmed Comparison the Performance of M5 Tree Model with the Artificial Neural Network and Support Vector Machine Models in Derivation of Flow Duration Curve, Case Study: Khazangah Station of Aras River
title_short Comparison the Performance of M5 Tree Model with the Artificial Neural Network and Support Vector Machine Models in Derivation of Flow Duration Curve, Case Study: Khazangah Station of Aras River
title_sort comparison the performance of m5 tree model with the artificial neural network and support vector machine models in derivation of flow duration curve case study khazangah station of aras river
topic duration
discharge flow
aras river
error value
intelligent models
url https://gdij.usb.ac.ir/article_3456_c426146b291aba8210c37e52ae398102.pdf
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AT fatemehbayat comparisontheperformanceofm5treemodelwiththeartificialneuralnetworkandsupportvectormachinemodelsinderivationofflowdurationcurvecasestudykhazangahstationofarasriver