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Optimal design of BP algorithm by ACOR model for groundwater-level forecasting: A case study on Shabestar plain, Iran

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An Erratum to this article was published on 26 August 2016

Abstract

Groundwater always has been considered as one of the major sources of drinking and agricultural water supply, especially in arid and semi-arid zones. Thus, there is a need to simulate (i.e., forecast) groundwater levels with an acceptable accuracy. In this paper, we present two applications of intelligent optimization algorithms for simulations of monthly groundwater levels in an unconfined coastal aquifer sited in the Shabestar plain, Iran. First, the backpropagation neural network (ANN-BP) with seven neurons in its hidden layer is utilized to reproduce groundwater-level variations using the external input variables including the following: rainfall, average discharge, temperature, evaporation, and annual time series. In the next application, ant colony optimization is used to optimize and find initial connection weights and biases of a BP algorithm during the training phase (ACOR-BP). The results were found to be acceptable in terms of accuracy and demonstrated that a hybrid ACOR-BP model is a much more rigorous fitting prediction tool for groundwater-level forecasting. This study has shown that such a hybrid network can be used as viable alternative to physical-based models for simulating the reactions of the aquifer under conceivable future scenarios. In addition, it may be useful for reconstructing long periods of missing historical observations of the influencing variables.

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References

  • Adamowski J, Chan HF (2011) A wavelet neural network conjunction model for groundwater level forecasting. J Hydrol 407(1–4):28–40

    Article  Google Scholar 

  • Asadian O, Mirzaee AR, Mohajjel M, Hadjialilu B, and Eftekhar Nezhad J, (2007) “Geological quadrangle map of Marand in Iran.” Published by: Geological Survey of Iran, map number: 5166.

  • ASCE Task Committee on Application of Artificial Neural Networks in Hydrology (2000) Artificial neural networks in hydrology, parts I and II. J Hydrol Eng 5(2):115–137

    Article  Google Scholar 

  • Ashena R, Moghadasi J (2011) Bottom hole pressure estimation using evolved neural networks by real coded ant colony optimization and genetic algorithm. J. Petrol. Sci. Eng. 77:375–385

    Article  Google Scholar 

  • Behnia N, Rezaeian F (2015) Coupling wavelet transform with time series models to estimate groundwater level. Arab J Geosci 8:1–7

    Article  Google Scholar 

  • Behzad M, Asghari K, Coppola E Jr (2010) Comparative study of SVMs and ANNs in aquifer water level prediction. J Comput Civ Eng 24(5):408–413

    Article  Google Scholar 

  • Boucher MA, Perreault L, Anctil F (2009) Tools for the assessment of hydrological ensemble forecasts obtained by neural networks. J. Hydroinform. 11(3–4):297–307

    Article  Google Scholar 

  • Chau KW (2007) Application of a PSO-based neural network in analysis of outcomes of construction claims. Autom Constr 16(5):642–646

    Article  Google Scholar 

  • Chebud Y, Melesse A (2011) Operational prediction of groundwater fluctuation in South Florida using sequence based Markovian stochastic model. Water Resour. Manag 25(9):2279–2294

    Article  Google Scholar 

  • Chen JX, Yu S (2012) Application of ACO-BP algorithm in automobile automatic transmission shift control. Appl Mech Mater 263-266:553–556

    Article  Google Scholar 

  • Chen LH, Chen CT, Li DW (2011) Application of integrated back-propagation network and self-organizing map for groundwater level forecasting. J. Water Resour. Plan. Manage. 137(4):352–365

    Article  Google Scholar 

  • Choubsaz S, Akhoondzadeh M, Saradjian MR (2015) Thermal anomaly detection prior to earthquakes with training artificial neural networks with ant colony optimization. J Hazards Sci 2(2):207–224

    Google Scholar 

  • Coulibaly P, Baldwin CK (2005) Nonstationary hydrologic time series forecasting using nonlinear dynamic methods. J Hydrol 307:164–174

    Article  Google Scholar 

  • Coulibaly P, Anctil F, Bobee B (2001a) Multivariate reservoir inflow forecasting using temporal neural networks. J Hydrol Eng 65(9–10):367–376

    Article  Google Scholar 

  • Coulibaly P, Anctil F, Aravena R, Bobee B (2001b) Artificial neural network modeling of water table depth fluctuation. Water Resour Res 3(4):885–896

    Article  Google Scholar 

  • Coulibaly P, Bobee B, Anctil F (2001c) Improving extreme hydrologic events forecasting using a new criterion for artificial neural network selection. Hydrol Process 15(8):1533–1536

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Dash NB, Panda SN, Remesan R, Sahoo N (2010) Hybrid neural modeling for groundwater level prediction. Neural Comput. Appl. 19(8):1251–1263

    Google Scholar 

  • Datta B, Vennalakanti H, Dhar A (2009) Modeling and control of saltwater intrusion in a coastal aquifer of Andhra Pradesh. India J Hydro-Environ Res 3:148–159

    Article  Google Scholar 

  • Dawson CW, Wilby RL (2001) Hydrological modeling using artificial neural networks. Prog Phys Geogr 25:80–108

    Article  Google Scholar 

  • Dogan A, Demirpence H, Cobaner M (2008) Prediction of groundwater levels from lake levels and climate data using ANN approach. Water SA 34:199–205

    Google Scholar 

  • Fallah-Mehdipour E, Bozorg Haddad O, Marino MA (2013) Prediction and simulation of monthly groundwater levels by genetic programming. J. Hydro-environ. Res. 7:253–260

    Article  Google Scholar 

  • Giustolisi O, Simeone V (2006) Optimal design of artificial neural networks by a multi-objective strategy: groundwater level predictions. Hydrolog. Sci. J. 51(3):502–523

    Article  Google Scholar 

  • Giustolisi O, Doglioni A, Savic DA, di Pierro F (2008) An evolutionary multi-objective strategy for the effective management of groundwater resources. Water Resour Res 44(1)

  • Hornik K, Stinchcombe M, White H (1989) Multilayer feedforward networks are universal approximators. Neural Netw 2:359–366

    Article  Google Scholar 

  • Hosseini Z, Nakhaei M (2015) Estimation of groundwater level using a hybrid genetic algorithm-neural network. Pollution 1(1):9–21

    Google Scholar 

  • Jalalkamali A, Jalalkamali N (2011) Groundwater modeling using hybrid of artificial neural network with genetic algorithm. Afr. J. Agricul. Res. 6(26):5775–5784

    Google Scholar 

  • Jalalkamali A, Sedghi H, Manshouri M (2011) Monthly groundwater level prediction using ANN and neuro-fuzzy models: a case study on Kerman plain. Iran J Hydroinform 13(4):867–876

    Article  Google Scholar 

  • Kholghi M, Hosseini SM (2009) Comparison of groundwater level estimation using neuro-fuzzy and ordinary kriging. Environ Model Assess 14(6):729–737

    Article  Google Scholar 

  • Kia A, Ekhlasnia M, Kerdgari M, Maddah H, Alizadeh M (2015) Hybrid neural network performance prediction model for gas assisted gravity drainage recovery method based on the scaling analysis. Petrol. Sci. Technol. 33:1395–1401

    Article  Google Scholar 

  • Kulluk S (2013) A novel hybrid algorithm combining hunting search with harmony search algorithm for training neural networks. J Oper Res Soc 64(5):748–761

    Article  Google Scholar 

  • Lallahem S, Mania J (2003a) Evaluation and forecasting of daily groundwater inflow in a small chalky watershed. Hydrol. Process 17(8):1561–1577

    Article  Google Scholar 

  • Lallahem S, Mania J (2003b) A non-linear rainfall-runoff model using neural network technique: example in fractured porous media. Math Comput Model 37(9–10):1047–1061

    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 Hydrol Eng 307:92–111

    Article  Google Scholar 

  • Larose DT (2005) Discovering knowledge in data: an introduction to data mining. First Ed. Wiley., New Jersey

    Google Scholar 

  • Maier HR, Dandy GC (2000) Neural networks for the prediction and forecasting of water resources variables: a review of modeling issues and applications. Environ Model Softw 15(1):101–124

    Article  Google Scholar 

  • Maier HR, Jain A, Dandy GC, Sudheer KP (2010) Methods used for the development of neural networks for the prediction of water resource variables in river systems: current status and future directions. Environ Model Softw 25(8):891–909

    Article  Google Scholar 

  • Maiti S, Tiwari RK (2014) A comparative study of artificial neural networks, Bavesian neural networks and adaptive neuro-fuzzy inference system in groundwater level prediction. Environ Earth Sci 71(7):3147–3160

    Article  Google Scholar 

  • Mavrovouniotis M, Yang S (2014) Training neural networks with ant colony optimization algorithms for pattern classification. Soft Comput 19(6):1511–1522

    Article  Google Scholar 

  • Mirzavand M, Ghazavi R (2014) A stochastic modeling technique for groundwater level forecasting in an arid environment using time series methods. Water Resour Manag 29:1315–1328

    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 , 15 pNat. Hazards

  • 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

    Article  Google Scholar 

  • Moosavi V, Vafakhah M, Shirmohammadi B, Ranjbar M (2014) Optimization of Wavelet-ANFIS and Wavelet-ANN hybrid models by Taguchi method for groundwater level forecasting. Arab J Sci Eng 39(3):1785–1796

    Article  Google Scholar 

  • Nadiri AA, Fijani E, Tsai F, Asghari Moghaddam A (2013) Supervised committee machine with artificial intelligence for prediction of fluoride concentration. J. Hydroinform. 15:1474–1490

    Article  Google Scholar 

  • Nakhaei M, Saberi Naser A (2012) A combined Wavelet-Artificial neural network model and its application to the prediction of groundwater level fluctuations. J. Geope. 2(2):77–91

    Google Scholar 

  • Nourani V, Ejlali RG, (2012) Quantity and quality modeling of groundwater by conjugation of ANN and co-kriging approaches. (In P. Nayak, (Ed.), Water resources management and modeling, E-Publishing, InTech. pp. 287–310).

  • Nourani V, Ejlali RG, Alami MT (2011) Spatiotemporal groundwater level forecasting in coastal aquifers by hybrid artificial neural network-geostatistics model: a case study. Environ Eng Sci 28(3):217–228

    Article  Google Scholar 

  • Nourani V, Hosseini Baghanam A, Daneshvar Vousoughi F, Alami MT (2012) Classification of groundwater level data using SOM to develop ANN-based forecasting model. Int. J. Soft Co. Eng. (IJSCE) 2(1):464–469

    Google Scholar 

  • Nourani V, Moghaddam AA, Nadiri A (2008) An ANN-based model for spatiotemporal groundwater level forecasting. Hydrol Process 22:5054–5066

    Article  Google Scholar 

  • Raghavendra NS, Deka PC (2015) Forecasting monthly groundwater level fluctuations in coastal aquifers using hybrid wavelet packet-support vector regression. Cogent Eng 2(1):1–22

    Article  Google Scholar 

  • Safarvand D, Alizadeh M, Samipour Giri M, Jafarnejad M (2015) Exergy analysis of NGL recovery plant using a hybrid ACOR-BP neural network modeling: a case study. Asia Pac J Chem Eng 10:133–153

    Article  Google Scholar 

  • Sahoo S, Jha MK (2013) Groundwater-level prediction using multiple linear regression and artificial neural network techniques: a comparative assessment. Hydrogeol J 21(8):1865–1887

    Article  Google Scholar 

  • Shiri J, Kisi O (2011) Comparison of genetic programming with neuro-fuzzy systems for predicting short-term water table depth fluctuations. Computers Geosci 51:108–117

    Google Scholar 

  • Shiri J, Kisi O, Yoon H, Lee KK, Nazemi AH (2013) Predicting groundwater level fluctuations with meteorological effect implications—a comparative study among soft computing techniques. Comput Geosci 56:32–44

    Article  Google Scholar 

  • Socha K (2008) Ant colony optimization for continuous and mixed-variable domains. Universite Libre de Bruxelles, Belgium, PhD dissertation

    Google Scholar 

  • Socha K, Blum C (2007) Hybrid ant algorithms applied to feed-forward neural network training: an application to medical pattern classification. NCA 16(3):235–248

    Article  Google Scholar 

  • Socha K, Dorigo M (2008) Ant colony optimization for continuous domains. Eur J Oper Res 185(3):1155–1173

    Article  Google Scholar 

  • Sreekanth PD, Geethanjali N, Sreedevi PD, Ahmad S, Ravi Kumar N, Kamala Jayanthi PD (2009) Forecasting groundwater level using artificial neural networks. Curr Sci India 96(7):933–939

    Google Scholar 

  • Tabatabaei SME, Kadkhodaie-Ilkhchi A, Hosseini Z, Asghari Moghaddam A (2015) A hybrid stochastic-gradient optimization to estimating total organic carbon from petrophysical data: a case study from the Ahwaz oilfield, SW Iran. J. Petrol. Sci. Eng. 127:35–43

    Article  Google Scholar 

  • Taormina R, Chau K, Sethi R (2012) Artificial neural network simulation of hourly groundwater levels in a coastal aquifer system of the Venice lagoon. Eng Appl Artif Intell 25(8):1670–1676

    Article  Google Scholar 

  • Triana E, Labadie JW, Gates TK, Anderson CW (2010) Neural network approach to stream-aquifer modeling for improved river basin management. J Hydrol 391:235–247

    Article  Google Scholar 

  • Tsanis IK, Coulibaly P, Daliakopoulos IN (2008) Improving groundwater level forecasting with a feedforward neural network and linearly regressed projected precipitation. J. Hydroinform. 10(4):317–330

    Article  Google Scholar 

  • Wang LY, Zhao WG (2010) Forecasting groundwater level based on wavelet network model combined with genetic algorithm. Adv Mater Res 113-116:195–198

    Article  Google Scholar 

  • Yang Q, Hou Z, Wang Y, Zhao Y, Delgado J (2014) A comparative study of shallow groundwater level simulation with WA-ANN and ITS model in a coastal island of south China. Arab J Geosci 7:1–11

    Article  Google Scholar 

  • Yang ZP, Lu WX, Long YQ, Li P (2009) Application and comparison of two prediction models for groundwater levels: a case study in Western Jilin Province. China J Arid Environ 73:487–492

    Article  Google Scholar 

  • Ying Z, Wenxi L, Haibo C, Jiannan L (2014) Comparison of three forecasting models for groundwater levels: a case study in the semiarid area of west Jilin Province, China. Journal of Water Supply: Res. TechnoAQUA 63(8):671–683

    Google Scholar 

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Correspondence to Ziba Hosseini.

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Hosseini, Z., Gharechelou, S., Nakhaei, M. et al. Optimal design of BP algorithm by ACOR model for groundwater-level forecasting: A case study on Shabestar plain, Iran. Arab J Geosci 9, 436 (2016). https://doi.org/10.1007/s12517-016-2454-2

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