Case Studies
Apr 27, 2016

Hybrid of SOM-Clustering Method and Wavelet-ANFIS Approach to Model and Infill Missing Groundwater Level Data

Publication: Journal of Hydrologic Engineering
Volume 21, Issue 9

Abstract

This paper describes the potential use of artificial intelligence (AI)-based techniques to predict monthly groundwater level (GWL) and filling missing GWL data. The adaptive neuro-fuzzy inference system (ANFIS) model conjugated to data pre-processing methods was used for GWL modeling of a Tampa Bay plain at three distinct scenarios. In the proposed methodology, the self-organizing map (SOM) clustering method, as spatial preprocessor, and the discrete wavelet transform (DWT), as temporal data preprocessor, were linked to the ANFIS framework. The original time series of precipitation, runoff, and GWL parameters were decomposed into multifrequency subseries by DWT, and then the subseries were imposed as input data into an ANFIS model for each cluster identified by the SOM, for prediction of the GWL value one and multitime step ahead and to fill missing GWL data. The wavelet transform coherence (WTC) technique was also used for selecting dominant input variables of the ANFIS model. The performance of the ANFIS model was compared to the newly proposed hybrid WTC-ANFIS (WANFIS) model under three different scenarios. The obtained results show that the proposed model can predict GWL with reliable accuracy because the SOM-based spatial clustering method could decrease dimensionality of the inputs matrix, and on the other hand, application of DWT and WTC could enhance the performance of the model by exploring the important periods of the process.

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Acknowledgments

This paper was supported by a research Grant of the University of Tabriz. Our special thanks go to Simon T. De Witt, Records Information Analyst at Tampa Bay Water Organization, Florida, who provided a useful collection of data related to the study area.

References

Adamowski, J., and Chan, H. F. (2011). “A wavelet neural network conjunction model for groundwater level forecasting.” J. Hydrol., 407(1-4), 28–40.
Akrami, A., Nourani, V., and Hakim, S. J. S. (2014). “Development of nonlinear model based on Wavelet-ANFIS for rainfall forecasting at Klang Gates dam.” Water Resour. Manage., 28(10), 2999–3018.
Amutha, R., and Porchelvan, P. (2011). “Seasonal prediction of groundwater levels using ANFIS and radial basis neural network.” Int. J. Geo. Earth Environ. Sci., 1(1), 98–108.
Aqil, M., Kita, I., Yano, A., and Nishiyama, S. (2007). “Analysis and prediction of flow from local source in a river basin using a Neuro-fuzzy modeling tool.” J. Environ. Manage., 85(1), 215–223.
Ayvaz, M. T., Karahan, H., and Aral, M. M. (2007). “Aquifer parameter and zone structure estimation using kernel-based fuzzy c-means clustering and genetic algorithm.” J. Hydrol., 343(3–4), 240–253.
Brown, M., and Harris, C. (1994). Neuro-fuzzy adaptive modeling and control, 2nd Ed., Prentice-Hall, NJ.
Chen, L. H., Chen, C. T., and Li, D. W. (2011). “Application of integrated back-propagation network and self-organizing map for groundwater level forecasting.” J. Water Res. Plann. Manage., 352–365.
Chen, L. H., Chen, C. T., and Pan, Y. G. (2010). “Groundwater level prediction using SOM-RBFN multisite model.” J. Hydrol. Eng., 624–631.
Coulibaly, P., and Evora, N. D. (2007). “Comparison of neural network methods for infilling missing daily weather records.” J. Hydrol., 341(1-2), 27–41.
Dastorani, M. T., Moghadamnia, A., Piri, J., and Rico-Ramirez, M. (2010). “Application of ANN and ANFIS models for reconstructing missing flow data.” Environ. Monit. Assess., 166(1-4), 421–434.
Elshorbagy, A., Simonovic, S. P., and Panu, U. S. (2002). “Estimation of missing stream flow data using principles of chaos theory.” J. Hydrol., 255(1), 123–133.
Fallah-Mehdipour, E., Bozorg Haddad, O., and Mariño, M. A. (2013). “Prediction and simulation of monthly groundwater levels by genetic programming.” J. Hydro-environ. Res., 7(4), 253–260.
Grinsted, A., Moore, J. C., and Jevrejeva, S. (2004). “Application of the cross wavelet transform and wavelet coherence to geophysical time series.” Nonlin. Processes Geophys., 11(5/6), 561–566.
Grossmann, A., and Morlet, J. (1984). “Decomposition of Hardy function into square integrable wavelets of constant shape.” J. Math. Anal. Appl., 15(4), 723–736.
Hsu, K., Gupta, H. V., Gao, X., Sorooshian, S., and Imam, B. (2002). “Self-organizing linear output map (SOLO): An artificial neural network suitable for hydrologic modeling and analysis.” Water Resour. Res., 38(12), 1–38.
Jang, J. S. R., Sun, C. T., and Mizutani, E. (1997). Neuro-fuzzy and soft computing: A computational approach to learning and machine intelligence, 3rd Ed., Prentice-Hall, NJ.
Kalteh, A. M., Hjorth, P., and Berndtsson, R. (2008). “Review of self-organizing map (SOM) in water resources: Analysis, modeling, and application.” Environ. Model. Softw., 23(7), 835–845.
Kim, J. W., and Pachepsky, Y. A. (2010). “Reconstructing missing daily precipitation data using regression trees and artificial neural networks for SWAT streamflow simulation.” J. Hydrol., 394(3–4), 305–314.
Kisi, O., and Cimen, M. (2011). “A wavelet-support vector machine conjunction model for monthly streamflow forecasting.” J. Hydrol., 399(1–2), 132–140.
Kisi, O., and Cimen, M. (2012). “Precipitation forecasting by using wavelet-support vector machine conjunction model.” Eng. Appl. Artif. Intell., 25(4), 783–792.
Kisi, O., and Shiri, J. (2012). “Wavelet and neuro-fuzzy conjunction model for predicting water table depth fluctuations.” Hydrol. Res., 43(3), 286–300.
Kohonen, T. (1997). Self-organizing maps, Springer, Berlin.
Koza, J. R. (1992). Genetic programming on the programming of computers by means of natural selection, MIT Press, Cambridge, MA.
Labat, D. (2005). “Recent advances in wavelet analyses. Part 1: A review of concepts.” J. Hydrol., 314(1-4), 275–288.
Labat, D., Ababou, R., and Mangin, A. (2000). “Rainfall-runoff relation for Karstic spring. Part 2: Continuous wavelet and discrete orthogonal multi resolution analyses.” J. Hydrol., 238(3-4), 149–178.
Legates, D. R., and McCabe, G. J., Jr. (1999). “Evaluating the use of goodness-of-fit measures in hydrologic and hydroclimatic model validation.” Water Resour. Res., 35(1), 233–241.
Llunga, M., and Stephenson, D. (2005). “Infilling stream flow data using feed-forward back-propagation (BP) artificial neural networks: Application of standard BP and pseudo Mac Laurin power series BP techniques.” Water SA, 31(2), 171–176.
Mallat, S. G. (1998). A wavelet tour of signal processing, 2nd Ed., Academic Press, San Diego.
MathWorks. (2010a). MATLAB: ANFIS toolbox user’s guide, version 7, Natick, MA.
MathWorks. (2010b). MATLAB: SOM toolbox (NCTOOL) user’s guide, version 7, Natick, MA.
MathWorks. (2010c). MATLAB: Wavelet toolbox user’s guide, version 7, Natick, MA.
Mayilvaganan, M. K., and Naidu, K. B. (2011). “ANN and fuzzy logic models for the prediction of groundwater level of a watershed.” Int. J. Comput. Sci. Eng., 3(6), 2523–2530.
Moosavi, V., Vafakhah, M., Shirmohammadi, B., and Behnia, N. (2013). “A wavelet-ANFIS hybrid model for groundwater level forecasting for different prediction periods.” Water Resour. Manage., 27(5), 1301–1321.
Moosavi, V., Vafakhah, M., Shirmohammadi, B., and 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.
Ng, W. W., Panu, U. S., and Lennox, W. C. (2009). “Comparative studies in problems of missing extreme daily streamflow records.” J. Hydrol. Eng., 91–100.
Nourani, V., Alami, M. T., and Daneshvar Vousoughi, F. (2015). “Wavelet-entropy data pre-processing approach for ANN-based groundwater level modeling.” J. Hydrol., 524, 255–269.
Nourani, V., and Andalib, G. (2015). “Daily and monthly suspended sediment load predictions using wavelet based artificial intelligence approaches.” J. Mt. Sci., 12(1), 85–100.
Nourani, V., Hosseini Baghanam, A., Adamowski, J., and Gebremichael, M. (2013). “Using self-organizing maps and wavelet transforms for space-time pre-processing of satellite precipitation and runoff data in neural network based rainfall-runoff modeling.” J. Hydrol., 476, 228–243.
Nourani, V., Hosseini Baghanam, A., Adamowski, J., and Kisi, O. (2014). “Applications of hybrid wavelet–Artificial Intelligence models in hydrology: A review.” J. Hydrol., 514, 358–377.
Nourani, V., Hosseini Baghanam, A., and Gebremichael, M. (2012a). “Investigating the ability of artificial neural network (ANN) models to estimate missing rain-gauge data.” J. Environ. Inform., 19(1), 38–50.
Nourani, V., and Kalantari, O. (2010). “Integrated artificial neural network for spatiotemporal modeling of rainfall-runoff–sediment processes.” Environ. Eng. Sci., 27(5), 411–422.
Nourani, V., Kisi, O., and Komasi, M. (2011). “Two hybrid Artificial Intelligence approaches for modeling rainfall-runoff process.” J. Hydrol., 402(1–2), 41–59.
Nourani, V., Komasi, M., and Alami, M. T. (2012d). “ Hybrid wavelet–Genetic programming approach to optimize ANN modeling of rainfall–runoff process.” J. Hydrol. Eng., 724–741.
Nourani, V., Komasi, M., and Mano, A. (2009). “A multivariate ANN-wavelet approach for rainfall-runoff modeling.” Water Resour. Manage., 23(14), 2877–2894.
Nourani, V., and Parhizkar, M. (2013). “Conjunction of SOM-based feature extraction method and hybrid wavelet-ANN approach for rainfall-runoff modeling.” J. Hydroinform., 15(3), 829–848.
Partal, T., and Cigizoglu, H. K. (2008). “Estimation and forecasting of daily suspended sediment data using wavelet-neural networks.” J. Hydrol., 358, (3–4), 317–331.
Partal, T., and Kisi, O. (2007). “Wavelet and neuro-fuzzy conjunction model for precipitation forecasting.” J. Hydrol., 342(1–2), 199–212.
Rajaee, T., Mirbagheri, S. A., Zounemat-Kermani, M., and Nourani, V. (2009). “Daily suspended sediment concentration simulation using ANN and neuro-fuzzy models.” Sci. Total Environ., 407(17), 4916–4927.
Ross, P. J. (1990). “Efficient numerical methods for infiltration using Richards’ equation.” Water Resour. Res., 26(2), 279–290.
Sang, Y. F. (2013). “A review on the applications of wavelet transform in hydrology time series analysis.” Atmos. Res., 122, 8–15.
Starrett, S. K., Starrett, S. K., Heier, T., Su, Y., Tuan, D., and Bandurraga, M. (2010). “Filling in missing peak flow data using artificial neural networks.” J. Eng. Appl. Sci., 5(1), 49–55.
Tfwala, S. S., Wang, Y. M., and Lin, Y. C. (2013). “Prediction of missing flow records using multilayer perceptron and coactive neurofuzzy inference system.” Sci. World J., 584516.
Torrence, C., and Compo, G. P. (1998). “A practical guide to wavelets analysis.” Bull. Am. Meteorol. Soc., 79(1), 61–78.
Toth, E. (2009). “Classification of hydro-meteorological conditions and multiple artificial neural networks for streamflow forecasting.” Hydrol. Earth Syst. Sci., 13(9), 1555–1566.
Vapnik, V., and Cortes, C. (1995). “Support vector networks.” Mach. Learn., 20, 1–25.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 21Issue 9September 2016

History

Received: Sep 9, 2015
Accepted: Feb 11, 2016
Published online: Apr 27, 2016
Published in print: Sep 1, 2016
Discussion open until: Sep 27, 2016

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Authors

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Vahid Nourani [email protected]
Professor, Dept. of Water Resources Engineering, Faculty of Civil Engineering, Univ. of Tabriz, 5614796144 Tabriz, Iran (corresponding author). E-mail: [email protected]
Mohammad Taghi Alami [email protected]
Associate Professor, Dept. of Water Resources Engineering, Faculty of Civil Engineering, Univ. of Tabriz, 5614796144 Tabriz, Iran. E-mail: [email protected]
Farnaz Daneshvar Vousoughi [email protected]
Ph.D. Candidate, Dept. of Water Resources Engineering, Faculty of Civil Engineering, Univ. of Tabriz, 5614796144 Tabriz, Iran. E-mail: [email protected]

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