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Quadratic Discriminant Analysis Based Ensemble Machine Learning Models for Groundwater Potential Modeling and Mapping

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Abstract

In this study, the AdaBoost, MultiBoost and RealAdaBoost methods were combined with the Quadratic Discriminant Analysis method to develop three new GIS-based Machine Learning ensemble models, i.e., ABQDA, MBQDA, and RABQDA for groundwater potential mapping in the Dak Nong Province, Vietnam. In total, 227 groundwater wells and 12 conditioning factors (infiltration, rainfall, river density, topographic wetness index, sediment transport index, stream power index, elevation, aspect, curvature, slope, soil, and land use) were used for this study. Performance of the models was evaluated using the Area Under the Receiver Operating Characteristics Curve AUC (AUC) and several other performance metrics. The results showed that the ABQDA model that achieved AUC = 0.741 was superior to the other models in producing an accurate map of groundwater potential for the Dak Nong Province. The models and potential maps produced here can help policymakers and water resources managers to preserve an optimal exploit from these vital resources.

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References

  • Adnan RM, Jaafari A, Mohanavelu A, Kisi O, Elbeltagi A (2021) Novel ensemble forecasting of streamflow using locally weighted learning algorithm. Sustainability 13(11):5877

    Article  Google Scholar 

  • Agarwal R, Garg P (2016) Remote sensing and GIS based groundwater potential & recharge zones mapping using multi-criteria decision making technique. Water Resour Manag 30(1):243–260

    Article  Google Scholar 

  • Arabameri A, Arora A, Pal SC, Mitra S, Saha A, Nalivan OA, Panahi S, Moayedi H (2021) K-fold and state-of-the-art metaheuristic machine learning approaches for groundwater potential modelling. Water Resour Manag 35(6):1837–1869

    Article  Google Scholar 

  • Avand M, Janizadeh S, Tien Bui D, Pham VH, Ngo PTT, Nhu V-H (2020) A tree-based intelligence ensemble approach for spatial prediction of potential groundwater. Int J Digital Earth 1–22

  • Barzegar R, Moghaddam AA, Deo R, Fijani E, Tziritis E (2018) Mapping groundwater contamination risk of multiple aquifers using multi-model ensemble of machine learning algorithms. Sci Total Environ 621:697–712

    Article  Google Scholar 

  • Bui DT, Ho T-C, Pradhan B, Pham B-T, Nhu V-H, Revhaug I (2016) GIS-based modeling of rainfall-induced landslides using data mining-based functional trees classifier with AdaBoost, Bagging, and MultiBoost ensemble frameworks. Environ Earth Sci 75(14):1101

    Article  Google Scholar 

  • Carvalho JM, Afonso MJ, Teixeira J, Freitas L, Lopes AR, Jesus R, Batista S, Carvalho R, Chaminé HI (2019) Groundwater favourable infiltration zones on Granitic areas (Central Portugal). In: Advances in sustainable and environmental hydrology, hydrogeology, hydrochemistry and water resources. Springer, New York, pp 317–319

  • Cavalcante Júnior RG, Vasconcelos Freitas MA, da Silva NF, de Azevedo Filho FR (2019) Sustainable groundwater exploitation aiming at the reduction of water vulnerability in the Brazilian semi-arid region. Energies 12(5):904

    Article  Google Scholar 

  • Chen W, Li H, Hou E, Wang S, Wang G, Panahi M, Li T, Peng T, Guo C, Niu C (2018) GIS-based groundwater potential analysis using novel ensemble weights-of-evidence with logistic regression and functional tree models. Sci Total Environ 634:853–867

    Article  Google Scholar 

  • Chen W, Tsangaratos P, Ilia I, Duan Z, Chen X (2019) Groundwater spring potential mapping using population-based evolutionary algorithms and data mining methods. Sci Total Environ 684:31–49. https://doi.org/10.1016/j.scitotenv.2019.05.312

    Article  Google Scholar 

  • Corsini A, Cervi F, Ronchetti F (2009) Weight of evidence and artificial neural networks for potential groundwater spring mapping: an application to the Mt. Modino area (Northern Apennines, Italy). Geomorphology 111(1–2):79–87

    Article  Google Scholar 

  • da Costa AM, de Salis HHC, Viana JHM, Leal Pacheco FA (2019) Groundwater recharge potential for sustainable water use in urban areas of the Jequitiba River Basin, Brazil. Sustainability 11(10):2955

    Article  Google Scholar 

  • de Graaf IE, Gleeson T, van Beek LR, Sutanudjaja EH, Bierkens MF (2019) Environmental flow limits to global groundwater pumping. Nature 574(7776):90–94

    Article  Google Scholar 

  • Eker AM, Dikmen M, Cambazoğlu S, Düzgün ŞH, Akgün H (2015) Evaluation and comparison of landslide susceptibility mapping methods: a case study for the Ulus district, Bartın, northern Turkey. Int J Geogr Inf Sci 29(1):132–158

    Article  Google Scholar 

  • Freund Y, Schapire RE (1997) A decision-theoretic generalization of on-line learning and an application to boosting. J Comput Syst Sci 55(1):119–139

    Article  Google Scholar 

  • Friedman, J., Hastie, T., & Tibshirani, R. (2000). Additive logistic regression: a statistical view of boosting (with discussion and a rejoinder by the authors). Ann Stat 28(2):337-407

  • Ghasemain B, Asl DT, Pham BT, Avand M, Nguyen HD, Janizadeh S (2020) Shallow landslide susceptibility mapping: a comparison between classification and regression tree and reduced error pruning tree algorithms. Vietnam J Earth Sci 42(3):208–227

    Google Scholar 

  • Ghorbani Nejad S, Falah F, Daneshfar M, Haghizadeh A, Rahmati O (2017) Delineation of groundwater potential zones using remote sensing and GIS-based data-driven models. Geocarto Int 32(2):167–187

    Google Scholar 

  • Hu W, Hu W, Maybank S (2008) Adaboost-based algorithm for network intrusion detection. IEEE Trans Syst Man Cybern Part B 38(2):577–583

    Article  Google Scholar 

  • Jaafari A (2018) LiDAR-supported prediction of slope failures using an integrated ensemble weights-of-evidence and analytical hierarchy process. Environ Earth Sci 77(2):42

    Article  Google Scholar 

  • Jaafari A, Rezaeian J, Omrani MS (2017) Spatial prediction of slope failures in support of forestry operations safety. Croat J for Eng 38(1):107–118

    Google Scholar 

  • Jaafari A, Panahi M, Pham BT, Shahabi H, Bui DT, Rezaie F, Lee S (2019) Meta optimization of an adaptive neuro-fuzzy inference system with grey wolf optimizer and biogeography-based optimization algorithms for spatial prediction of landslide susceptibility. CATENA 175:430–445. https://doi.org/10.1016/j.catena.2018.12.033

    Article  Google Scholar 

  • Kalantar B, Al-Najjar HA, Pradhan B, Saeidi V, Halin AA, Ueda N, Naghibi SA (2019) Optimized conditioning factors using machine learning techniques for groundwater potential mapping. Water 11(9):1909

    Article  Google Scholar 

  • Kégl B, Busa-Fekete R (2009) Boosting products of base classifiers. In: Proceedings of the 26th Annual International Conference on Machine Learning, pp 497–504

  • Kordestani MD, Naghibi SA, Hashemi H, Ahmadi K, Kalantar B, Pradhan B (2019) Groundwater potential mapping using a novel data-mining ensemble model. Hydrogeol J 27(1):211–224

    Article  Google Scholar 

  • Le H-A, Nguyen T-A, Nguyen D-D, Prakash I (2020) Prediction of soil unconfined compressive strength using Artificial Neural Network Model. Vietnam J Earth Sci 42(3):255–264

    Google Scholar 

  • Lerner DN, Harris B (2009) The relationship between land use and groundwater resources and quality. Land Use Policy 26:S265–S273

    Article  Google Scholar 

  • Li X, Wang L, Sung E (2008) AdaBoost with SVM-based component classifiers. Eng Appl Artif Intell 21(5):785–795

    Article  Google Scholar 

  • Ma H, Zhu Q, Zhao W (2020) Soil water response to precipitation in different micro-topographies on the semi-arid Loess Plateau. China J for Res 31(1):245–256

    Google Scholar 

  • Machiwal D, Jha MK, Mal BC (2011) Assessment of groundwater potential in a semi-arid region of India using remote sensing, GIS and MCDM techniques. Water Resour Manag 25(5):1359–1386

    Article  Google Scholar 

  • Mafi-Gholami D, Zenner EK, Jaafari A, Bakhtiari HR, Tien Bui D (2019) Multi-hazards vulnerability assessment of southern coasts of Iran. J Environ Manag 252:109628

    Article  Google Scholar 

  • Manap MA, Sulaiman WNA, Ramli MF, Pradhan B, Surip N (2013) A knowledge-driven GIS modeling technique for groundwater potential mapping at the Upper Langat Basin, Malaysia. Arab J Geosci 1–17

  • Manap MA, Nampak H, Pradhan B, Lee S, Sulaiman WNA, Ramli MF (2014) Application of probabilistic-based frequency ratio model in groundwater potential mapping using remote sensing data and GIS. Arab J Geosci 7(2):711–724

    Article  Google Scholar 

  • Mogaji K, Omosuyi G, Adelusi A, Lim H (2016) Application of GIS-based evidential belief function model to regional groundwater recharge potential zones mapping in hardrock geologic terrain. Environ Process 3(1):93–123

    Article  Google Scholar 

  • Moghaddam DD, Rahmati O, Panahi M, Tiefenbacher J, Darabi H, Haghizadeh A, Haghighi AT, Nalivan OA, Bui DT (2020) The effect of sample size on different machine learning models for groundwater potential mapping in mountain bedrock aquifers. CATENA 187:104421

    Article  Google Scholar 

  • Mosavi A, Hosseini FS, Choubin B, Goodarzi M, Dineva AA, Sardooi ER (2021) Ensemble boosting and bagging based machine learning models for groundwater potential prediction. Water Resour Manag 35(1):23–37

    Article  Google Scholar 

  • Mukherjee P, Singh CK, Mukherjee S (2012) Delineation of groundwater potential zones in arid region of India—a remote sensing and GIS approach. Water Resour Manag 26(9):2643–2672

    Article  Google Scholar 

  • Naghibi SA, Ahmadi K, Daneshi A (2017a) Application of support vector machine, random forest, and genetic algorithm optimized random forest models in groundwater potential mapping. Water Resour Manag 31(9):2761–2775

    Article  Google Scholar 

  • Naghibi SA, Moghaddam DD, Kalantar B, Pradhan B, Kisi O (2017b) A comparative assessment of GIS-based data mining models and a novel ensemble model in groundwater well potential mapping. J Hydrol 548:471–483

    Article  Google Scholar 

  • Nampak H, Pradhan B, Manap MA (2014) Application of GIS based data driven evidential belief function model to predict groundwater potential zonation. J Hydrol 513:283–300

    Article  Google Scholar 

  • Nga DV, Trang PTK, Duyen VT, Mai TT, Lan VTM, Viet PH, Postma D, Jakobsen R (2018) Spatial variations of arsenic in groundwater from a transect in the Northwestern Hanoi. Vietnam J Earth Sci 40:70–77

    Google Scholar 

  • Nguyen PT, Ha DH, Avand M, Jaafari A, Nguyen HD, Al-Ansari N, Phong TV, Sharma R, Kumar R, Le HV (2020a) Soft computing ensemble models based on logistic regression for groundwater potential mapping. Appl Sci 10(7):2469

    Article  Google Scholar 

  • Nguyen PT, Ha DH, Jaafari A, Nguyen HD, Van Phong T, Al-Ansari N, Prakash I, Le HV, Pham BT (2020b) Groundwater potential mapping combining artificial neural network and real AdaBoost ensemble technique: the DakNong Province Case-study. Vietnam Int J Environ Res Public Health 17(7):2473

    Article  Google Scholar 

  • Nguyen T-A, Ly H-B, Jaafari A, Pham BT (2020c) Estimation offriction capacity of driven piles in clay using. Vietnam J Earth Sci 42(2):265–275

    Google Scholar 

  • Nhu V-H, Janizadeh S, Avand M, Chen W, Farzin M, Omidvar E, Shirzadi A, Shahabi H, Clague JJ, Jaafari A, Mansoorypoor F, Pham BT, Ahmad BB, Lee S (2020a) GIS-based gully erosion susceptibility mapping: a comparison of computational ensemble data mining models. Appl Sci 10(6):2039

    Article  Google Scholar 

  • Nhu V-H, Mohammadi A, Shahabi H, Ahmad BB, Al-Ansari N, Shirzadi A, Clague JJ, Jaafari A, Chen W, Nguyen H (2020b) Landslide susceptibility mapping using machine learning algorithms and remote sensing data in a tropical environment. Int J Environ Res Public Health 17(14):4933

    Article  Google Scholar 

  • Nhu V-H, Shirzadi A, Shahabi H, Chen W, Clague J, Geertsema M, Jaafari A, Avand M, Miraki S, Asl D, Pham B, Bin B, Ahmad LS (2020c) Shallow landslide susceptibility mapping by Random Forest Base classifier and its ensembles in a semi-arid region of Iran. Forests 11:421. https://doi.org/10.3390/f11040421

    Article  Google Scholar 

  • Oanh TTK, Van Lap N (2016) High arsenic concentration in groundwater related to sedimentary facies in the Mekong River Delta, Vietnam. Vietnam J Earth Sci 38:178–187

    Google Scholar 

  • Ozdemir A (2011) Using a binary logistic regression method and GIS for evaluating and mapping the groundwater spring potential in the Sultan Mountains (Aksehir, Turkey). J Hydrol 405(1–2):123–136

    Article  Google Scholar 

  • Pham BT, Jaafari A, Prakash I, Singh SK, Quoc NK, Bui DT (2019) Hybrid computational intelligence models for groundwater potential mapping. CATENA 182:104101. https://doi.org/10.1016/j.catena.2019.104101

    Article  Google Scholar 

  • Pham BT, Singh SK, Ly H-B (2020) Using Artificial Neural Network (ANN) for prediction of soil. Vietnam J Earth Sci 42(4):311–319

    Google Scholar 

  • Pham BT, Jaafari A, Phong TV, Yen HPH, Tuyen TT, Luong VV, Nguyen HD, Le HV, Foong LK (2021a) Improved flood susceptibility mapping using a best first decision tree integrated with ensemble learning techniques. Geosci Front 12(3):101105

    Article  Google Scholar 

  • Pham BT, Jaafari A, Van Phong T, Mafi-Gholami D, Amiri M, Van Tao N, Duong V-H, Prakash I (2021b) Naïve Bayes ensemble models for groundwater potential mapping. Ecol Inform 101389

  • Rose RS, Krishnan N (2009) Spatial analysis of groundwater potential using remote sensing and GIS in the Kanyakumari and Nambiyar basins, India. J Indian Soc Remote Sens 37(4):681–692

    Article  Google Scholar 

  • Sameen MI, Pradhan B, Lee S (2019) Self-learning random forests model for mapping groundwater yield in data-scarce areas. Nat Resour Res 28(3):757–775

    Article  Google Scholar 

  • Şen Z (2015) Applied drought modeling, prediction, and mitigation. Elsevier, Amsterdam

    Google Scholar 

  • Shabani S, Jaafari A, Bettinger P (2021) Spatial modeling of forest stand susceptibility to logging operations. Environ Impact Assess Rev 89:106601

    Article  Google Scholar 

  • Solomon S, Quiel F (2006) Groundwater study using remote sensing and geographic information systems (GIS) in the central highlands of Eritrea. Hydrogeol J 14(6):1029–1041

    Article  Google Scholar 

  • Thanh DQ, Nguyen DH, Prakash I, Jaafari A, Nguyen V-T, Van Phong T, Pham BT (2020) GIS based frequency ratio method for landslide susceptibility mapping at Da Lat City, Lam Dong province, Vietnam. Vietnam J Earth Sci 42:55–66

    Article  Google Scholar 

  • Thapa R, Gupta S, Guin S, Kaur H (2017) Assessment of groundwater potential zones using multi-influencing factor (MIF) and GIS: a case study from Birbhum district, West Bengal. Appl Water Sci 7(7):4117–4131

    Article  Google Scholar 

  • Tien Bui D, Shahabi H, Omidvar E, Shirzadi A, Geertsema M, Clague JJ, Khosravi K, Pradhan B, Pham BT, Chapi K (2019) Shallow landslide prediction using a novel hybrid functional machine learning algorithm. Remote Sens 11(8):931

    Article  Google Scholar 

  • Todd DK, Mays LW (2005) Groundwater hydrology edition. Welly Inte

  • Tran QC, Minh DD, Jaafari A, Al-Ansari N, Minh DD, Van DT, Nguyen DA, Tran TH, Ho LS, Nguyen DH (2020) Novel ensemble landslide predictive models based on the Hyperpipes Algorithm: a case study in the Nam Dam Commune, Vietnam. Appl Sci 10(11)

  • Tuyen TT, Jaafari A, Yen HPH, Nguyen-Thoi T, Van Phong T, Nguyen HD, Van Le H, Phuong TTM, Nguyen SH, Prakash I (2021) Mapping forest fire susceptibility using spatially explicit ensemble models based on the locally weighted learning algorithm. Ecol Inform 101292

  • van den Bergh J (2013) Individual preferences for reducing flood risk to near zero through elevation. Mitig Adapt Strat Glob Change 18:229–244. https://doi.org/10.1007/s11027-012-9359-5

    Article  Google Scholar 

  • Van Phong T, Ly H-B, Trinh PT, Prakash I, Btjvjoes P (2020) Landslide susceptibility mapping using Forest by Penalizing Attributes (FPA) algorithm based machine learning approach. Vietnam J Earth Sci 42(3)

  • Van Truong P (2015) Hydrogeochemistry characteristics and salinity of groundwater in Quaternary sediments in the coastal zone of Ha Tinh province. Vietnam J Earth Sci 37(1):70–78

    Google Scholar 

  • Webb GI (2000) Multiboosting: a technique for combining boosting and wagging. Mach Learn 40(2):159–196

    Article  Google Scholar 

  • Wu B, Ai H, Huang C, Lao S (2004) Fast rotation invariant multi-view face detection based on real adaboost. In: Sixth IEEE International Conference on Automatic Face and Gesture Recognition, 2004. Proceedings 79–84. IEEE

  • Yeh H-F, Cheng Y-S, Lin H-I, Lee C-H (2016) Mapping groundwater recharge potential zone using a GIS approach in Hualian River, Taiwan. Sustain Environ Res 26(1):33–43

    Article  Google Scholar 

  • Ziolkowska J, Reyes R (2017) Groundwater level changes due to extreme weather—an evaluation tool for sustainable water management. MDPI Water 9:117. https://doi.org/10.3390/w9020117

    Article  Google Scholar 

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Acknowledgements

We thank to Vietnam Academy for Water Resources for providing the data to carry out this research.

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This research is funded by Vietnam Ministry of Science Technology under the state project Code ĐTĐL.CN-65/15. 

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Correspondence to Duong Hai Ha, Romulus Costache or Binh Thai Pham.

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Ha, D.H., Nguyen, P.T., Costache, R. et al. Quadratic Discriminant Analysis Based Ensemble Machine Learning Models for Groundwater Potential Modeling and Mapping. Water Resour Manage 35, 4415–4433 (2021). https://doi.org/10.1007/s11269-021-02957-6

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