Estimating the permeability coefficient of soil using CART and GMDH approaches

Permeability coefficient of soil (k) is one of the most important parameters in groundwater studies. This study, two robust explicit data-driven methods, Including classification and regression trees (CART) and the group method of data handling (GMDH) were developed using the characteristics of soil...

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Main Authors: Mina Torabi, Hamed Sarkardeh, S. Mohammad Mirhosseini
Format: Article
Language:English
Published: IWA Publishing 2022-08-01
Series:Water Supply
Subjects:
Online Access:http://ws.iwaponline.com/content/22/8/6756
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author Mina Torabi
Hamed Sarkardeh
S. Mohammad Mirhosseini
author_facet Mina Torabi
Hamed Sarkardeh
S. Mohammad Mirhosseini
author_sort Mina Torabi
collection DOAJ
description Permeability coefficient of soil (k) is one of the most important parameters in groundwater studies. This study, two robust explicit data-driven methods, Including classification and regression trees (CART) and the group method of data handling (GMDH) were developed using the characteristics of soil, i.e., clay content (CC), water content (ω), liquid limit (LL), plastic limit (PL), specific density (γ), void ratio (e) to generate predictive equations for prediction of k. When compared to CART; mean absolute error (MAE) = 0.0051, root mean square error (RMSE) = 0.0088, scatter index (SI) = 64.00%, correlation coefficient (R) = 0.7841, index of agreement (IA) = 0.8830; the GMDH equation produced the lowest error values; MAE = 0.0044, RMSE = 0.0072, SI = 52.17%, R = 0.8493, Ia = 0.9184; in testing stage. Although, GMDH had better performance, however, CART and GMDH could be considered effective approaches for the prediction of k. HIGHLIGHTS Two predictive models were developed to estimate the permeability coefficient of soil.; GMDH and CART algorithms were evaluated in this study.; GMDH provided more accurate results when compared to CART for the prediction of permeability coefficient of soil.; The water content was the most effective parameter for determining the permeability coefficient of soil.; Field data were used in this research.;
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spelling doaj.art-34ed7df414da4192852fb98f166ec1642022-12-22T03:19:37ZengIWA PublishingWater Supply1606-97491607-07982022-08-012286756676410.2166/ws.2022.248248Estimating the permeability coefficient of soil using CART and GMDH approachesMina Torabi0Hamed Sarkardeh1S. Mohammad Mirhosseini2 Department of Civil Engineering, Arak Branch, Islamic Azad University, Arak, Iran Department of Civil Engineering, Faculty of Engineering, Hakim Sabzevari University, Sabzevar, Iran Department of Civil Engineering, Arak Branch, Islamic Azad University, Arak, Iran Permeability coefficient of soil (k) is one of the most important parameters in groundwater studies. This study, two robust explicit data-driven methods, Including classification and regression trees (CART) and the group method of data handling (GMDH) were developed using the characteristics of soil, i.e., clay content (CC), water content (ω), liquid limit (LL), plastic limit (PL), specific density (γ), void ratio (e) to generate predictive equations for prediction of k. When compared to CART; mean absolute error (MAE) = 0.0051, root mean square error (RMSE) = 0.0088, scatter index (SI) = 64.00%, correlation coefficient (R) = 0.7841, index of agreement (IA) = 0.8830; the GMDH equation produced the lowest error values; MAE = 0.0044, RMSE = 0.0072, SI = 52.17%, R = 0.8493, Ia = 0.9184; in testing stage. Although, GMDH had better performance, however, CART and GMDH could be considered effective approaches for the prediction of k. HIGHLIGHTS Two predictive models were developed to estimate the permeability coefficient of soil.; GMDH and CART algorithms were evaluated in this study.; GMDH provided more accurate results when compared to CART for the prediction of permeability coefficient of soil.; The water content was the most effective parameter for determining the permeability coefficient of soil.; Field data were used in this research.;http://ws.iwaponline.com/content/22/8/6756decision treesexplicit modelsinfiltrationksoft computing
spellingShingle Mina Torabi
Hamed Sarkardeh
S. Mohammad Mirhosseini
Estimating the permeability coefficient of soil using CART and GMDH approaches
Water Supply
decision trees
explicit models
infiltration
k
soft computing
title Estimating the permeability coefficient of soil using CART and GMDH approaches
title_full Estimating the permeability coefficient of soil using CART and GMDH approaches
title_fullStr Estimating the permeability coefficient of soil using CART and GMDH approaches
title_full_unstemmed Estimating the permeability coefficient of soil using CART and GMDH approaches
title_short Estimating the permeability coefficient of soil using CART and GMDH approaches
title_sort estimating the permeability coefficient of soil using cart and gmdh approaches
topic decision trees
explicit models
infiltration
k
soft computing
url http://ws.iwaponline.com/content/22/8/6756
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AT hamedsarkardeh estimatingthepermeabilitycoefficientofsoilusingcartandgmdhapproaches
AT smohammadmirhosseini estimatingthepermeabilitycoefficientofsoilusingcartandgmdhapproaches