Technical Papers
Oct 8, 2018

Utilization of WGEP and WDT Models by Wavelet Denoising to Predict Water Quality Parameters in Rivers

Publication: Journal of Hydrologic Engineering
Volume 23, Issue 12

Abstract

In this study, new methods based on integrating discrete wavelet transforms (DWT) into artificial neural network (ANN), gene expression programming (GEP), and decision tree (DP) approaches for several applications of water quality index estimation are proposed. The 3-year daily data used in this study, including turbidity (Tur), pH, dissolved oxygen (DO), discharge, and temperature, were measured from the Blue River at Kenneth Road, Overland Park, Kansas, in Johnson County. In addition to the time delays concerning each of the parameters DO, Tur, and pH, the temperature and discharge were considered effective in the climate of the region. The results showed that using wavelets significantly improved the performance of the ANN, DT, and GEP models, particularly in the case of extreme values. The results are comparable and suggest that wavelet-AI conjunction models could be explored as an alternative tool for water quality prediction. The performance of wavelet-gene expression programming (WGEP), which was moderately better than wavelet-artificial neural network (WANN) and wavelet-decision tree (WDT), is very promising and hence supports the use of WGEP in predicting river quality data. The results showed that the WGEP model decreased the mean absolute percentage error for the WDT, WANN, GEP, ANN, and DT models from 0.18, 0.33, 0.41, 0.47, and 0.35  mg/L, respectively, to 0.17  mg/L for the DO index, and from 0.026, 0.018, 0.036, 0.08, and 0.051  mg/L to 0.04  mg/L for the pH index, respectively. The WANN model also dropped the mean absolute percentage error for the WDT, WGEP, GEP, ANN, and DT models from 9.72, 6.68, 13.98, 8.88, and 14.81 FNU to 5.06 FNU for the Tur index. In this study, hybrid models provided more precise predictions for extremely high values.

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References

Alizadeh, M. J., and M. R. Kavianpour. 2015. “Development of wavelet-ANN models to predict water quality parameters in Hilo Bay, Pacific Ocean.” Mar. Pollut. Bull. 98 (1–2): 171–178. https://doi.org/10.1016/j.marpolbul.2015.06.052.
Beltran, J. L., R. Ferrer, and J. Guiteras. 1998. “Multivariate calibration of polycyclic aromatic hydrocarbon mixtures from excitation-emission fluorescence spectra.” Anal. Chim. Acta 373: 311–319.
Bhardwaj, R., and K. S. Parmar. 2013a. “Water quality index and fractal dimension analysis of water parameters.” Int. J. Environ. Sci. Technol. 10 (1): 151–164. https://doi.org/10.1007/s13762-012-0086-y.
Bhardwaj, R., and K. S. Parmar. 2013b. “Wavelet and statistical analysis of river water quality parameters.” Appl. Math. Comput. 219 (20): 10172–10182. https://doi.org/10.1016/j.amc.2013.03.109.
Box, G. E. P., G. M. Jenkins, and G. C. Reinsel. 2008. Time series analysis: Forecasting and control. 4th ed. London: Wiley.
Cohen, A., and J. Kovacevic. 1996. “Wavelets: The mathematical background.” Proc. IEEE 84 (4): 514–522. https://doi.org/10.1109/5.488697.
DeLurgio, S. A. 1998. Forecasting principles and applications. 1st ed. New York: Irwin McGraw-Hill.
Dogan, E., A. Ates, E. C. Yilmaz, and B. Erem. 2008. “Application of artificial neural networks to estimate wastewater treatment plant inlet biochemical oxygen demand.” Environ. Prog. Sustainable Energy 27 (4): 439–446. https://doi.org/10.1002/ep.10295.
Dogan, E., B. Sengorur, and R. Koklu. 2009. “Modeling biological oxygen demand of the Melen River in Turkey using an artificial neural network technique.” J. Environ. Manage. 90 (2): 1229–1235. https://doi.org/10.1016/j.jenvman.2008.06.004.
Ebrahimi, H., and T. Rajaee. 2017. “Simulation of groundwater level variations using wavelet combined with neural network, linear regression and support vector machine.” Global Planet. Change 148: 181–191. https://doi.org/10.1016/j.gloplacha.2016.11.014.
Evrendilek, F., and M. Karakaya. 2014. “Monitoring diel dissolved oxygen dynamics through integrating wavelet denoising and temporal neural networks.” Environ. Monit. Assess. 186 (3): 1583–1591. https://doi.org/10.1007/s10661-013-3476-9.
Feifei, L., L. Daoliang, M. Daokun, and D. Qisheng. 2010. “Dissolved oxygen prediction in apostichopus japonicas aquaculture ponds by BP neural network and AR model.” Sens. Lett. 8 (1): 95–101. https://doi.org/10.1166/sl.2010.1208.
Ferreira, C. 2001. “Gene expression programming: A new adaptive algorithm for solving problems.” J. Complex Syst. 13 (2): 87–129.
Gupta, K. K., and R. Gupta. 2007. “Despeckle and geographical feature extraction in SAR images by wavelet transform.” ISPRS J. Photogramm. 62 (6): 473–484. https://doi.org/10.1016/j.isprsjprs.2007.06.001.
Guven, A. 2009. “Linear genetic programming for time-series modeling of daily flow rate.” J. Earth Syst. Sci. 118 (2): 137–146. https://doi.org/10.1007/s12040-009-0022-9.
Hamed, M. M., M. G. Khalafallah, and E. A. Hassanien. 2004. “Prediction of wastewater treatment plant performance using artificial neural network.” Environ. Modell. Software 19 (10): 919–928. https://doi.org/10.1016/j.envsoft.2003.10.005.
Han, H., Q. Chen, and J. Qiao. 2011. “An efficient self-organizing RBF neural network for water quality prediction.” Neural Networks 24 (7): 717–725. https://doi.org/10.1016/j.neunet.2011.04.006.
Hu, Y. F., L. J. Deng, S. R. Zhang, F. Q. Ni, and J. Zhang. 2009. “Spatial variability of iron and manganese contents in shallow groundwater in the west of Sichuan Basin.” Acta Ecologica Sinica 29 (2): 797–803. https://doi.org/10.3882/j.issn.1674-2370.2010.04.008.
Khani, S., and T. Rajaee. 2017. “Modeling of dissolved oxygen concentration and its hysteresis behavior in rivers using wavelet transform based hybrid models.” Clean Soil Air Water 45 (2): in press. https://doi.org/10.1002/clen.201500395.
Kisi, O. 2011. “Evapotranspiration modeling using a wavelet regression model.” Comput. Electron. Agric. 79 (3): 153–158. https://doi.org/10.1007/s00271-010-0232-6.
Kurunc, A., K. Yurekli, and O. Cevik. 2005. “Performance of two stochastic approaches for forecasting water quality and streamflow data from Yeşilιrmak River, Turkey.” Environ. Model. Soft. 20: 1195–1200. https://doi.org/10.1016/j.envsoft.2004.11.001.
Labat, D., R. Ababou, and A. Mangin. 2000. “Rainfall-runoff relation for karstic spring. Part 2: Continuous wavelet and discrete orthogonal multi resolution analyses.” J. Hydrol. 238 (3–4): 149–178. https://doi.org/10.1016/S0022-1694(00)00322-X.
Li, R. Z. 2006. “Advanced and trend analysis of theoretical methodology for water quality forecast.” J. Hefei Univ. Technol. 29: 26–30.
Masters, T. 1993. Practical neural network recipes in C++. San Diego: Academic Press.
McCleary, R., and R. A. Hay. 1980. Applied time series analysis for the social sciences. Beverly Hills, CA: Sage.
Mjalli, F. S., S. Al-Asheh, and H. E. Alfadala. 2007. “Use of artificial neural network black-box modeling for the prediction of wastewater treatment plants performance.” J. Environ. Manage. 83 (3): 329–338. https://doi.org/10.1016/j.jenvman.2006.03.004.
Muttil, N., and K. W. Chau. 2006. “Neural network and genetic programming for modeling coastal algal blooms.” Int. J. Environ. Pollut. 28 (3–4): 223–238. https://doi.org/10.1504/IJEP.2006.011208.
Nourani, V., A. Hoseini Baghanam, J. Adamowski, and O. Kisi. 2014. “Applications of hybrid wavelet–Artificial Intelligence models in hydrology: A review.” J. Hydrol. 514: 358–377. https://doi.org/10.1016/j.jhydrol.2014.03.057.
Palani, S., S. Liong, and P. Tkalich. 2009. “Development of a neural network for dissolved oxygen in seawater.” Indian J. Mar. Sci. 38 (2): 151–159.
Palani, S., S. Y. Liong, and P. Tkalich. 2008. “An ANN application for water quality forecasting.” Mar. Pollut. Bull. 56 (9): 1586–1597. https://doi.org/10.1016/j.marpolbul.2008.05.021.
Partal, T. 2009. “Modeling evapotranspiration using discrete wavelet transform and neural networks.” Hydrol. Processes 23 (25): 3545–3555. https://doi.org/10.1002/hyp.7448.
Paschalidou, A. K., S. Karakitsios, S. Kleanthous, and P. A. Kassomenos. 2011. “Forecasting hourly PM10 concentration in Cyprus through artificial neural networks and multiple regression models: Implications to local environmental management.” Environ. Sci. Pollut. Res. 18 (2): 316–327. https://doi.org/10.1007/s11356-010-0375-2.
Percival, D. B., and A. T. Walden. 2000. Wavelet methods for time series analysis. Cambridge, UK: Cambridge University Press.
Prechelt, L. 1998. “Early stopping: But when?” Lect. Notes Comput. Sci. 1524: 55–69. https://doi.org/10.1007/978-3-642-35289-8_5.
Quinlan, J. R. 1993. C4.5: Programs for machine learning, 1–302. San Mateo, CA: Morgan Kaufmann Publishers.
Rajaee, T. 2011. “Wavelet and ANN combination model for prediction of daily suspended sediment load in Rivers.” Sci. Total Environ. 409 (15): 2917–2928. https://doi.org/10.1016/j.scitotenv.2010.11.028.
Rajaee, T., and A. Boroumand. 2015. “Forecasting of chlorophyll-a concentrations in south San Francisco Bay using five different models.” Appl. Ocean. Res. 53: 208–217. https://doi.org/10.1016/j.apor.2015.09.001.
Rajaee, T., and A. Shahabi. 2015. “Evaluation of wavelet-GEP and wavelet-ANN hybrid models for prediction of total nitrogen concentration in coastal marine waters.” Arabian J. Geosci. 9 (3): 176. https://doi.org/10.1007/s12517-015-2220-x.
Ravansalar, M., and T. Rajaee. 2015. “Evaluation of wavelet performance via an ANN-based electrical conductivity prediction model.” Environ. Monit. Assess. 187 (6): 366. https://doi.org/10.1007/s10661-015-4590-7.
Ravansalar, M., T. Rajaee, and M. Ergil. 2015. “Prediction of dissolved oxygen in River Calder by noise elimination time series using wavelet transform.” J. Exp. Theor. Artif. Intell. 28 (4): 689–706. https://doi.org/10.1080/0952813X.2015.1042531.
Ravansalar, M., T. Rajaee, and M. Zounemat-Kermani. 2016. “A wavelet-linear genetic programming model for sodium (Na+) concentration forecasting in rivers.” J. Hydrol. 537: 398–407. https://doi.org/10.1016/j.jhydrol.2016.03.062.
Sahoo, G. B., C. Ray, E. Mehnert, and D. A. Keefer. 2006. “Application of artificial neural networks to assess pesticide contamination in shallow groundwater.” Sci. Total Environ. 367 (1): 234–251. https://doi.org/10.1016/j.scitotenv.2005.12.011.
Schmitz, J. E., R. J. Zemp, and M. J. Mendes. 2006. “Artificial neural networks for the solution of the phase stability problem.” Fluid Phase Equilib. 245 (1): 83–87. https://doi.org/10.1016/j.fluid.2006.02.013.
Singh, K. P., A. Basant, A. Malik, and G. Jain. 2009. “Artificial neural network modeling of the River water quality: A case study.” Ecol. Modell. 220 (6): 888–895. https://doi.org/10.1016/j.ecolmodel.2009.01.004.
Siwek, K., and K. Osowski. 2012. “Improving the accuracy of prediction of PM10 pollution by the wavelet transformation and an ensemble of neural predictors.” Eng. Appl. Artif. Intell. 25 (6): 1246–1258. https://doi.org/10.1016/j.engappai.2011.10.013.
Solomatine, D., and A. Ostfeld. 2008. “Data-driven modeling: Some past experiences and new approaches.” J. Hydroinf. 10 (1): 3–22. https://doi.org/10.2166/hydro.2008.015.
Tiwari, M. K., and C. Chatterjee. 2010. “Development of an accurate and reliable hourly flood forecasting model using wavelet-bootstrap-ANN (WBANN) hybrid approach.” J. Hydrol. 394 (3–4): 458–470. https://doi.org/10.1016/j.jhydrol.2010.10.001.
Tomenko, V., S. Ahmed, and V. Oopov. 2007. “Modeling constructed wetland treatment system performance.” Ecol. Model. 205 (3–4): 355–364. https://doi.org/10.1016/j.ecolmodel.2007.02.030.
Xu, L., and S. Liu. 2013. “Study of short-term water quality prediction model based on wavelet neural network.” Math. Comput. Model. 58 (3–4): 807–813. https://doi.org/10.1016/j.mcm.2012.12.023.
Yang, C., and S. Nio. 1985. “The estimation of palaeo hydrodynamic processes from sub tidal deposits using time series analysis methods.” Sedimentology 32 (1): 41–57. https://doi.org/10.1111/j.1365-3091.1985.tb00491.x.
Zounemat-Kermani, M., and M. Scholz. 2014. “Modeling of dissolved oxygen applying stepwise regression and a template-based fuzzy logic system.” J. Environ. Eng. 140 (1): 69–76. https://doi.org/10.1061/(ASCE)EE.1943-7870.0000780.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 23Issue 12December 2018

History

Received: Feb 4, 2017
Accepted: May 16, 2018
Published online: Oct 8, 2018
Published in print: Dec 1, 2018
Discussion open until: Mar 8, 2019

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Taher Rajaee [email protected]
Associate Professor, Dept. of Civil Engineering, Univ. of Qom, Qom 3716146611, Iran (corresponding author). Email: [email protected]; [email protected]
Hamideh Jafari [email protected]
Ph.D. Candidate in Water and Hydraulic Structure, Dept. of Civil Engineering, Univ. of Qom, Qom 3716146611, Iran. Email: [email protected]; [email protected]

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