Log in

Comparison of machine learning models for predicting groundwater level, case study: Najafabad region

  • Research Article - Hydrology
  • Published:
Acta Geophysica Aims and scope Submit manuscript

Abstract

Water resources, consisting of surface water and groundwater, are considered to be among the crucial natural resources in most arid and semiarid regions. Groundwater resources as the sustainable yields can be predicted, whereas this is one of the important stages in water resource management. To this end, several models such as mathematical, statistical, empirical, and conceptual can be employed. In this paper, machine learning and deep learning methods as conceptual ones are applied for the simulations. The selected models are support vector regression (SVR), adaptive neuro-fuzzy inference system (ANFIS), and multilayer perceptron (MLP). Next, these models are optimized with the adaptive moment estimation (ADAM) optimization algorithm which results in hybrid models. The hyper-parameters of the stated models are optimized with the ADAM method. The root mean squared error (RMSE), mean absolute error (MAE), mean squared error (MSE), and coefficient of determination (R2) are used to evaluate the accuracy of the simulated groundwater level. To this end, the aquifer hydrograph is used to compare the results with observations data. So, the RMSE and R2 show that the accuracy of the machine learning and deep learning models is better than the numerical model for the given data. Moreover, the MSE is approximately the same in all three cases (ranging from 0.7113 to 0.6504). Also, the total value of R2 and RMSE for the best hybrid model is 0.9617 and 0.7313, respectively, which are obtained from the model output. The results show that all three techniques are useful tools for modeling hydrological processes in agriculture and their computational capabilities and memory are similar.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Affandi AK, Watanabe K (2007) Daily groundwater level fluctuation forecasting using soft computing technique. Nature and Sci 5(2):1–10

    Google Scholar 

  • Ahn H (2000) Modeling of groundwater heads based on second-order difference time series models. J Hydrol 234(1–2):82–94

    Article  Google Scholar 

  • Barzegar R, Moghaddam AA, Baghban H (2016) A supervised committee machine artificial intelligent for improving DRASTIC method to assess groundwater contamination risk: a case study from Tabriz plain aquifer. Iran Stoch Environ Res Risk Assess 30(3):883–899

    Article  Google Scholar 

  • Bishop CM (1995) Training with noise is equivalent to Tikhonov regularization. Neural Comput 7(1):108–116

    Article  Google Scholar 

  • Butt MF, Albusoda A, Farmer AD, Aziz Q (2020) The anatomical basis for transcutaneous auricular vagus nerve stimulation. J Anat 236(4):588–611. https://doi.org/10.1111/joa.13122

    Article  Google Scholar 

  • Chen W, Panahi M, Khosravi K, Pourghasemi HR, Rezaie F, Parvinnezhad D (2019) Spatial prediction of groundwater potentiality using ANFIS ensembled with teaching-learning-based and biogeography-based optimization. J of Hydrol 572:435–448

    Article  Google Scholar 

  • Choubin B, Malekian A (2017) Combined gamma and M-test-based ANN and ARIMA models for groundwater fluctuation forecasting in semiarid regions. Environ Earth Sci 76(15):1–10

    Article  Google Scholar 

  • Daliakopoulos IN, Coulibaly P, Tsanis IK (2005) Groundwater level forecasting using artificial neural networks. J of Hydrol 309(1–4):229–240

    Article  Google Scholar 

  • Dou J, Yunus AP, Bui DT, Merghadi A, Sahana M, Zhu Z, Chen CW, Han Z, Pham BT (2020) Improved landslide assessment using support vector machine with bagging, boosting, and stacking ensemble machine learning framework in a mountainous watershed, Japan. Landslides 17(3):641–658. https://doi.org/10.1007/s10346-019-01286-5

    Article  Google Scholar 

  • Di Nunno F, Abba SI, Pham BQ, Islam ART, Talukdar S, Francesco G (2022) Groundwater level forecasting in Northern Bangladesh using nonlinear autoregressive exogenous (NARX) and extreme learning machine (ELM) neural networks. Arab J Geosci 15:647

    Article  Google Scholar 

  • Ghalamzan A, Das G, Gould I, Zarafshan P, Rajendran V, Heselden J, Badiee A, Wright I, Pearson S (2022) Applications of robotic and solar energy in precision agriculture and smart farming. In: Solar Energy Advancements in Agriculture and Food Production Systems. Elsevier, Book Chapter.

  • Gholami VCKW, Chau KW, Fadaee F, Torkaman J, Ghaffari A (2015) Modeling of groundwater level fluctuations using dendrochronology in alluvial aquifers. J of Hydrol 529:1060–1069

    Article  Google Scholar 

  • Ghose DK, Panda SS, Swain PC (2010) Prediction of water table depth in western region, Orissa using BPNN and RBFN neural networks. J of Hydrol 394(3–4):296–304

    Article  Google Scholar 

  • Gómez C, Green DR (2017) Small unmanned airborne systems to support oil and gas pipeline monitoring and map**. Arab J Geosci 10(9):1–17

    Article  Google Scholar 

  • Guo Q, Wang Y, Gao X, Ma T (2007) A new model (DRARCH) for assessing groundwater vulnerability to arsenic contamination at basin scale: a case study in Taiyuan basin, northern China. Environ Geol 52(5):923–932

    Article  Google Scholar 

  • Guzmán SM, Paz JO, Tagert MLM, Mercer AE, Pote JW (2018) An integrated SVR and crop model to estimate the impacts of irrigation on daily groundwater levels. Agric Syst 159:248–259

    Article  Google Scholar 

  • Heusel M, Ramsauer H, Unterthiner T, Nessler B, Hochreiter S (2017) GANs Trained by a two time-scale update rule converge to a local nash equilibrium. Adv Neural Inf Process Syst, 30.

  • Iqbal M, Naeem UA, Ahmad A, Ghani U, Farid T (2020) Relating groundwater levels with meteorological parameters using ANN technique. Meas Tech 166:1063–1081

    Google Scholar 

  • Jamab Consulting Engineers (2002) "Water resources planning in Zayandehrood river basin." JCE, Tehran, Iran (in Persian)

  • Jang JS (1993) ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst Man Cybern 23(3):665–685

    Article  Google Scholar 

  • Jebastina N, Arulraj GP (2018) Spatial Prediction of Nitrate Concentration Using GIS and ANFIS Modelling in Groundwater. Bull Environ Contam Toxicol 101(3):403–409

    Article  Google Scholar 

  • Jeihouni E, Eslamian S, Mohammadi M, Zareian MJ (2019) Simulation of groundwater level fluctuations in response to main climate parameters using a wavelet–ANN hybrid technique for the Shabestar Plain. Iran Environ Earth Sci 78(10):1–9

    Google Scholar 

  • Kagoda PA, Ndiritu J, Ntuli C, Mwaka B (2010) Application of radial basis function neural networks to short-term streamflow forecasting. Phys Chem Earth Parts A/B/C 35(13–14):571–581. https://doi.org/10.1016/j.pce.2010.07.021

    Article  Google Scholar 

  • Khoshrou MI, Zarafshan P, Dehghani M, Chegini G, Arabhosseini A, Zakeri B (2021) Deep Learning Prediction of Chlorophyll Content in Tomato Leaves, Int. Conf. on Robotics and Mechatronics (ICRoM), pp. 580–585.

  • Kingma DP, Ba JL (2015) Adam: A Method for Stochastic Optimization Int Conf Learn Represent, pp. 1–13.

  • Kock Rasmussen E, Svenstrup Petersen O, Thompson JR, Flower RJ, Ahmed MH (2009) Hydrodynamic-ecological model analyses of the water quality of Lake Manzala (Nile Delta, Northern Egypt). Hydrobiologia 622(1):195–220. https://doi.org/10.1007/s10750-008-9683-7

    Article  Google Scholar 

  • Kumar D, Roshni T, Singh A, Jha MK, Samui P (2020) Predicting groundwater depth fluctuations using deep learning, extreme learning machine and Gaussian process: a comparative study. Earth Science Inform 13(4):1237–1250. https://doi.org/10.1007/s12145-020-00508-y

    Article  Google Scholar 

  • Lallahem S, Mania J, Hani A, Najjar Y (2005) On the use of neural networks to evaluate groundwater levels in fractured media. J of Hydrol 307(1–4):92–111

    Article  Google Scholar 

  • Li D, Huang F, Yan L, Cao Z, Chen J, Ye Z (2019) Landslide susceptibility prediction using particle-swarm-optimized multilayer perceptron: Comparisons with multilayer-perceptron-only, bp neural network, and information value models. Appl Sci 9(18):3664. https://doi.org/10.3390/app9183664

    Article  Google Scholar 

  • Malmir M, Javadi S, Moridi A, Neshat A, Razdar B (2021) A new combined framework for sustainable development using the DPSIR approach and numerical modeling. Geosci Front 12(4):101169. https://doi.org/10.1016/j.gsf.2021.101169

    Article  Google Scholar 

  • Mirzavand M, Khoshnevisan B, Shamshirband S, Kisi O, Ahmad R, Akib S (2015) Evaluating groundwater level fluctuation by Support vector regression and neuro-fuzzy methods: a comparative study. Nat Hazards 1(1):1–15

    Google Scholar 

  • Moghaddam HK, Kivi ZR, Bahreinimotlagh M, Alizadeh MJ (2019) Develo** comparative mathematic models, BN and ANN for forecasting of groundwater levels. Groundw Sustain Dev 9:1002–1037

    Article  Google Scholar 

  • Moosavi V, Vafakhah M, Shirmohammadi B, Behnia N (2013) A wavelet-ANFIS hybrid model for groundwater level forecasting for different prediction periods. Water Resour Manag 27(5):1301–1321. https://doi.org/10.1007/s11269-012-0239-2

    Article  Google Scholar 

  • Müller J, Park J, Sahu R, Varadharajan C, Arora B, Faybishenko B, Agarwal D (2021) Surrogate optimization of deep neural networks for groundwater predictions. J Glob Optim 81(1):203–231. https://doi.org/10.1007/s10898-020-00912-0

    Article  Google Scholar 

  • Najah A, Elshafie A, Karim OA, Jaffar O (2009) Prediction of Johor River water quality parameters using artificial neural networks. Eur J Res 28(3), pp. 422–435.

  • Nicholls RJ, Wong PP, Burkett V, Codignotto J, Hay J, McLean R, Ragoonaden S, Woodroffe CD, Abuodha PAO, Arblaster J, Brown B (2007) Coastal systems and low-lying areas.

  • Ouarda TBMJ, Shu C (2009) Regional low-flow frequency analysis using single and ensemble artificial neural networks. Water Resour Res 45(11). https://doi.org/10.1029/2008WR007196

  • Pham QB, Kumar M, Di Nunno F, Elbeltagi A, Granata F, Islam ARM, Talukdar S, Nguyen XC, Ahmed AN, Anh DT (2022) Groundwater level prediction using machine learning algorithms in a drought-prone area. Neural Comput Appl, pp. 1–23.

  • Raghavendra NS, Deka PC (2015) Multistep ahead groundwater level time-series forecasting using Gaussian Process Regression and ANFIS. In: Advanced Computing and Systems for Security (ACSS), pp 289–302

  • Rahmati O, Pourghasemi HR, Melesse AM (2016) Application of GIS-based data driven random forest and maximum entropy models for groundwater potential map**: a case study at Mehran Region. Iran Catena 137:360–372

    Article  Google Scholar 

  • Rahmati O, Naghibi SA, Shahabi H, Bui DT, Pradhan B, Azareh A, Rafiei-Sardooi E, Samani AN, Melesse, AM (2018) Groundwater spring potential modelling: comprising the capability and robustness of three different modeling approaches. J Hydrol 565:248–261. https://doi.org/10.1016/j.jhydrol.2018.08.027

    Article  Google Scholar 

  • Safavi HR, Esmikhani M (2013) Conjunctive use of surface water and groundwater: application of support vector machines (SVMs) and genetic algorithms. Water Resour Manag 27(7):2623–2644. https://doi.org/10.1007/s11269-013-0307-2

    Article  Google Scholar 

  • Salari K, Zarafshan P, Khashehchi M, Pipelzadeh E, Chegini Gh (2022) Modeling and predicting of water production by capacitive deionization method using artificial neural networks, Desalination, 540.

  • Sattari MT, Mirabbasi R, Sushab RS, Abraham J (2018) Prediction of groundwater level in Ardebil plain using support vector regression and M5 tree model. Groundwater 56(4):636–646. https://doi.org/10.1111/gwat.12620

    Article  Google Scholar 

  • Sethi LN, Panda SN, Nayak MK (2006) Optimal crop planning and water resources allocation in a coastal groundwater basin, Orissa. India Agric Water Manag 83(3):209–220

    Article  Google Scholar 

  • Sharafati A, Asadollah SBHS, Neshat A (2020) A new artificial intelligence strategy for predicting the groundwater level over the Rafsanjan aquifer in Iran. J Hydrol 591:125468. https://doi.org/10.1016/j.jhydrol.2020.125468

    Article  Google Scholar 

  • Shu C, Ouarda TBMJ (2008) Regional flood frequency analysis at ungauged sites using the adaptive neuro-fuzzy inference system. J of Hydrol 349(1–2):31–43

    Article  Google Scholar 

  • Suryanarayana C, Sudheer C, Mahammood V, Panigrahi BK (2014) An integrated wavelet-support vector machine for groundwater level prediction in Visakhapatnam, India. Neurocomputing 145:324–335. https://doi.org/10.1016/j.neucom.2014.05.026

    Article  Google Scholar 

  • Sussman TJ, Heller W, Miller GA, Mohanty A (2013) Emotional distractors can enhance attention. Psychol Sci 24(11):2322–2328

    Article  Google Scholar 

  • Tahmasebi P, Hezarkhani A (2012) A hybrid neural networks-fuzzy logic-genetic algorithm for grade estimation. Comput Geosci 42:18–27

    Article  Google Scholar 

  • Takagi T, Sugeno M (1985) Fuzzy identification of systems and its applications to modeling and control. IEEE Trans Syst Man Cybern 1:116–132

    Article  Google Scholar 

  • Talei A, Chua LHC, Wong TS (2010) Evaluation of rainfall and discharge inputs used by Adaptive Network-based Fuzzy Inference Systems (ANFIS) in rainfall–runoff modeling. J of Hydrol 391(3–4):248–262

    Article  Google Scholar 

  • Vapnik V (1995) The nature of statistical learning theory, 1st edn. Springer-Verlag, Berlin, Heidelberg

  • Vapnik V (2013) The nature of statistical learning theory, 1st edn. Springer science & business media

  • Yoon H, Hyun Y, Ha K, Lee KK, Kim GB (2016) A method to improve the stability and accuracy of ANN-and SVM-based time series models for long-term groundwater level predictions. Comput Geosci 90:144–155

    Article  Google Scholar 

  • Zarafshan P, Javadi S, Roozbahani A, Hashemy Shahdany SM, Zarafshan P, and Etezadi H (2021) Artificial Intelligence Hybrid Deep Learning Model for Groundwater Level Prediction Using MLP-ADAM. 20th Iranian Hydraulic Conference.

  • Zare M (2017) Application and Analysis of Physical and Data-driven Stochastic Hydrological Simulation-Optimization Methods for the Optimal Management of Surface-Groundwater Resources Systems: Iranian Cases Studies (Doctoral dissertation, Universitätsbibliothek Kassel).

  • Zhang N, **ao C, Liu B, Liang X (2017) Groundwater depth predictions by GSM, RBF, and ANFIS models: a comparative assessment. Arab J Geosci 10(8):189

    Article  Google Scholar 

  • Zounemat-Kermani M, Mahdavi-Meymand A, Fadaee M, Batelaan O, Hinkelmann R (2022) Groundwater quality modeling: On the analogy between integrative PSO and MRFO mathematical and machine learning models. Environ Qual Manag 31(3):241–251. https://doi.org/10.1002/tqem.21775

    Article  Google Scholar 

Download references

Funding

Payam Zarafshan reports financial support was provided by University of Tehran.

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Pejman Zarafshan, Hamed Etezadi, Saman Javadi, Abbas Roozbahani, S. Mehdi Hashemy, and Payam Zarafshan. The first draft of the manuscript was written by Pejman Zarafshan, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Payam Zarafshan.

Ethics declarations

Conflict of interest

The authors whose names are listed in the paper immediately below report the following details of affilliation or involvement in an organization or entity with a financial or non-financial interest in the subject matter or materials discussed in this manuscript.

Additional information

Edited by Dr. Luigi Cimorelli (ASSOCIATE EDITOR) / Dr. Michael Nones (CO-EDITOR-IN-CHIEF).

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zarafshan, P., Etezadi, H., Javadi, S. et al. Comparison of machine learning models for predicting groundwater level, case study: Najafabad region. Acta Geophys. 71, 1817–1830 (2023). https://doi.org/10.1007/s11600-022-00948-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11600-022-00948-8

Keywords

Navigation