Comparative Evaluation of Decision Tree (M5) and Least Square Support Vector Machine (LS-SVM) Models for Groundwater Level Prediction in the Mashhad Plain

Document Type : Research Article

Authors

1 Hakim Sabzevari University, Faculty of Engineering and Civil Engineering Department

2 Associate Professor, Research Center of Social Studies & Geographical Sciences, Hakim Sabzevari University

3 Associate Professor of Watershed Management, Faculty of Agriculture and Natural Resources, University of GonbadKavous

Abstract

Objective: Predicting the groundwater table level is considered one of the fundamental steps in the optimal management of water resources in arid and semi-arid regions. Nowadays, the application of intelligent models for estimating groundwater levels is increasing due to their ease of use and high accuracy in estimating complex and nonlinear mathematical equations. The aim of the present study is to estimate the groundwater table level of the Mashhad plain aquifer using the decision tree model (M5) and to compare it with the least squares support vector machine model (LS-SVM) under 10 different scenarios.
Method: For this purpose, monthly climatic data (precipitation, evaporation, and temperature) and groundwater level information from 60 piezometric wells over a 10-year statistical period were utilized, and the employed models were evaluated using statistics such as the coefficient of determination (R2), RMSE, and MBE.
Results: The results of the LS-SVM model indicated that the highest simulation accuracy belonged to scenario 4, followed by scenario 9, while the other scenarios exhibited very low accuracy in simulating the water level. The MBE error values in scenarios 4 (-0/151) and 9 (-0/018) showed that the model simulated the groundwater level lower than reality. Based on the results of the water level simulation using the decision tree model, all scenarios were acceptable, and the scenarios 4 and 5 having the highest and lowest accuracy with coefficient of determination of 0/999 and 0/86, respectively. Overall, in both models used, scenario 4 simulated the groundwater level with almost similar accuracy. A comparison of the results of the models indicated that the LS-SVM model is more sensitive to changes in input parameters than the M5 model, such that the decision tree model, unlike the least squares support vector machine model, provided acceptable results in all scenarios.
Conclusions: In summary, the comparison of the models used suggests that the appropriate selection of climatic parameters and the examination and analysis of data have a significant impact on the accuracy of predictions.

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Main Subjects


Aalem, H., Fallahi, M., & Farmanieh, S. (2019). Estimating Runoff Using SCS - CN Based On GIS: A Case Study (Shirvan, Bojnord, Faruj, Safiabad and Meshkan Cities). New findings in applied geology, 13(26), 156-16. (In Persian)
Abareshi, F., Meftah Halghi, M., Sanikhani, H., & Dehghani, A.A. (2014). Comparison of three intelligence techniques for predicting water table depth fluctuations (Case study: Zarringol plain). Journal of Water and Soil Conservation Research, 21(1), 163-180. (In Persian)
Cortes, C., & Vapnik, V. (1995). Support-vector network, Mach. Learn, 20: 273–297.
Dogani, A., Dourandish, A., & Ghorbani, M. (2020). Ranking of resilience indicators of Mashhad plain to groundwater resources reduction by Bayesian best-worst method. Iranian Journal of Water and Irrigation Management, 10(2), 301–316.
Fallahi, M.R., Varvani, H., & Golian, S. (2012). Precipitation prediction using tree regression model to flood control. Fifth National Conference on Watershed Management and Soil and Water Resources Management. Kerman, Iran. (In Persian)
Fallahzade, M., Rezaei, P., Eslamian, S., & Abbasi, A. (2019). Relationship of Drought and Teleconnection Patterns; Case Study of Qara-Qom Basin. Geographical Researches Quarterly Journal, 34(2), 153-164. (In Persian)
Jabaalbarezi, B., & Malekian, A. (2019). Comparison of the performance of artificial neural networks and gene expression to predict the groundwater level in arid and semi-arid areas (Case study: Jiroft plain). Iranian Journal of Range and Desert Research, 26(2), 292-301. (In Persian)
Khalili Naft Chali, A., Shahidi, A., & Khashei Siuki, A. (2017). Comparison of Lazy Algorithms and M5 Model to Estimate Groundwater Level (Case Study: Plain Neyshabur). J. Water and Soil Sci, 21(3), 15-26. (In Persian)
Khashei Siuki, A., Ghahraman., B., &. Kouchakzadeh, M. (2013). Comparison of ANN, ANFIS and Regression Models to Estimate Groundwater level of Neyshaboor Aquifer. Iranian Journal of lrrigation and Drainage, 1(7), 10-22. (In Persian)
Khatibi, R., Ghorbani, M.A., Hasanpour Kashani, M., & Kisi, O. (2011). Comparison of three artificial intelligence techniques for discharge routing. Journal of Hydrology, 403(3 -4), 201 -212.
Milan, S.G., Roozbahani, A., & Banihabib, M.E. (2018). Fuzzy optimization model and fuzzy inference system for conjunctive use of surface and groundwater resources. Journal of Hydrology, 566, 421-434.
Misaghi, F., & Mohammadi, K. (2006). Zoning of rainfall data using classical statistical and geostatistical methods and comparison with artificial neural networks. Scientific Journal of Agriculture, 29(4), 1-13. (In Persian)
Nahrin, F., Sattari, M. T., & Bigzali, N. (2013). Comparison of suspended load estimation using two methods: sediment gauge curve and M5 tree model (Case study: Liqvan Chay River). 12th Iranian Hydraulic Conference. (In Persian)
Pham, Q. B., Kumar, M., Di Nunno, F., Elbeltagi, A., Granata, F., Islam, A.R.M.T., Talukdar, S., Nguyen, X.C., Ahmed, A.N., & Anh, D.T. (2022). Groundwater level prediction using machine learning algorithms in a drought-prone area. Neural Computing and Applications, 34(13): 10751-10773.
Piri, H., Mobaraki, M. & Siasar, Saleh. (2023). Temporal and spatial modeling of groundwater level in Bushehr plain using artificial intelligence and geostatistic. Journal Watershed Management Research13(26), 58-68. (In Persian)
Poursalehi, F., KhasheiSiuki, A., & Hashemi, S. R. (2022). Investigating the performance of the random forest algorithm in predicting water table fluctuations in comparison with two decision tree models and artificial neural network in the Birjand plain aquifer. Ecohydrology, 8(4), 961-974. (In Persian)
Rajaee, T., & Ebrahimi, H. (2016). Application of wavelet neural network model for forecasting groundwater level time series with non-stationary and nonlinear characteristics. Journal of Water and Soil Conservation, 22(5), 99- 115. (In Persian)
Revathy, R., & Lekshmy, D.C.A. (2023). Groundwater Level Prediction Using Support Vector Machine and M5 Model Tree-A Case Study. Proceedings of the 7th Biennial International Conference on Emerging Trends in Engineering, Science &Technology (ICETEST 2023)
Rostaminezhad Dolatabad, H., Shahabi, S., & Madadi, M.R. (2023). Evaluation of the efficiency of decision tree in combination with wavelet transform for predicting groundwater level fluctuations in Kerman Baghin Plain. Iranian Journal of Irrigation and Drainage. 17:3 (99), 413-427. (In Persian)
Samani, J.M., Tahmasbi, A., & Tahmasbi Sarvestani, Z. (2021). Water Resources Management and Sustainable Development. Infrastructure Studies Office, Volume 22, Serial Number 7374. (In Persian)
Suykens, J.A.K., Gestel, T.V., Barbanter, J.D., Moor, B.D., & Vandewalle, J.) 2002). Least squares support vector machines. World Scientific Pub. Co. Inc. ISBN: 978-981-277-665-5. 308 Pages.
Vadiati, M., Rajabi Yami, Z., Eskandari, E., Nakhaei, M., & Kisi, O. (2022). Application of artificial intelligence models for prediction of groundwater level fluctuations: Case study (Tehran-Karaj alluvial aquifer). Environmental Monitoring and Assessment, 194(9), 619.
Wang, X., Liu, T., Zheng, X., Peng, H., Xin, J., & Zhang., B. (2018). Short‑term prediction of groundwater level using improved random forest regression with a combination of random features. Applied Water Science, 8(5): 1–12.
Wei, A., Chen, Y., Li, D., Zhang, X., Wu, T., & Li, H. (2022). Prediction of groundwater level using the hybrid model combining wavelet transform and machine learning algorithms. Earth Science Informatics, 15(3), 1951-1962.
Yang, Z.P., Lu, W.X., Long, Y.Q., & Li, P. 2009. Application and comparison of two prediction models for groundwater levels: A case study in Western Jilin Province. China. Journal Arid Environ, 73, 487-492.
Zarei, M., Ghazavi, R., Abdollahi, KH., Ranzi, R., Ramesh, S.V.T., & Barontini, S. (2024). Spatiotemporal variation of water balance components in Mashhad catchment, Iran:Investigating the impact of changes in climatic data and land use. Water Supply, 24(2), 397-415. doi: 10.2166/ws.018
Volume 12, Issue 1
March 2025
Pages 581-594
  • Receive Date: 15 January 2025
  • Revise Date: 05 February 2025
  • Accept Date: 15 March 2025
  • First Publish Date: 15 March 2025
  • Publish Date: 21 March 2025