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Evaluation of wavelet-GEP and wavelet-ANN hybrid models for prediction of total nitrogen concentration in coastal marine waters

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Abstract

Because of increasing worldwide contamination of coastal marine water in the last decades, the exact prediction of water quality parameters in these areas is an important factor in coastal management. In this study, the evaluation of wavelet-gene expression programing (WGEP) and wavelet-artificial neural network (WANN) hybrid model was assessed in prediction of total nitrogen concentration (TN) in Charlotte harbor marine waters. The WANN and WGEP results were compared with traditional predictive models such as ANN, GEP, and multi-linear regression (MLR) methods. The TN monthly time series for 13 years were applied as inputs, and the TN values of the next month for two stations were simulated and predicted with different models. The comparison results of the wavelet hybrid models with others using statistical criteria (E and RMSE) exhibited the best performance of the wavelet conjunction models for prediction of TN in coastal waters. The E values of WGEP and WANN models with respect to the optimal GEP and ANN models increased to 0.858–0.879 and 0.840–0.857 for the first and second station, respectively. The selection process of suitable model indicated that the wavelet hybrid models have good results also in the prediction of maximum and minimum values of TN time series. Using wavelet transforms, different time-frequencies of TN changes of coastal marine water are extracted and sub-time series and sub-signal changes of TN as monthly, seasonally, 6 monthly and yearly can be recognized; thus, ANN and GEP model are improved.

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References

  • Adamowski J, Chan E, Prasher S, Ozga-Zielinski B, Sliusareva A (2012) Comparison of multiple linear and nonlinear regression, autoregressive integrated moving average, artificial neural network, and wavelet artificial neural network methods for urban water demand forecasting in Montreal, Canada. Water Resour Res 48:1528–1542

    Article  Google Scholar 

  • Addison PS, Murrary KB, Watson JN (2001) Wavelet transform analysis of open channel wake flows. J Eng Mech 127:58–70

    Article  Google Scholar 

  • Afshar A, Saadatpour M (2009) Reservoir eutrophication modeling, sensitivity analysis, and assessment; application to Karkheh Reservoir, Iran. Environ Eng Sci 26(7):1227–1238

    Article  Google Scholar 

  • Azamathulla HM, Cuan YC, Ghani AA, Chang CK (2013) Suspended sediment load prediction of river systems: GEP approach. Arab J Geosci 6(9):3469–3480. doi:10.1007/s12517-012-0608-4

    Article  Google Scholar 

  • Behnia N, Rezaeian F (2015) Coupling wavelet transform with time series models to estimate groundwater level. Arab J Geosci. doi:10.1007/s12517-015-1829-0

    Google Scholar 

  • Chen BF, Wang HD, Chu Ch C (2007) Wavelet and artificial neural network analyses of tide forecast and supplement of tides around Taiwan and South China Sea. Ocean Eng 34:2161–2175

    Article  Google Scholar 

  • Demuth HB, Beale MH, Hagan MT (2008) Matlab Math Works Inc. Neural Network Toolbox User's Guide

  • Ferreira, C (2001) Gene expression programming in problem solving. In: 6th Online World Conference on Soft Computing in Industrial Applications (pp. 635–653). Springer London

  • Florida Department of Environmental Protection Charlotte Harbor Aquatic Preserves Office (2007) Charlotte Harbor & Estero Bay Aquatic Preserves Water Quality Status & Trends for 1998–2005. http://www.dep.state.fl.us/coastal/sites/charlotte/volunteer/waterquality.htm

  • Gazzaz NM, Yusoff MK, Aris AZ, Juahir H, Rmli MF (2012) Artificial neural network modeling of the water quality index for Kinta River (Malaysia) using water quality variables as predictors. Mar Pollut Bull 64:2409–2420

    Article  Google Scholar 

  • Ghorbani MA, Khatibi R, Aytek A, Makarynskyy O, Shiri J (2010) Sea water level forecast using genetic programming and comparing the performance with artificial neural networks. Comput Geosci 36:620–627

    Article  Google Scholar 

  • Giustolisi O (2004) Using GP to determine Chezzy resistance coefficient in corrugated channels. J Hydroinf 6:157–173

    Google Scholar 

  • Harris R, Sollis R (2003) Applied time series modelling and forecasting. Wiley Press, Chichester

    Google Scholar 

  • Harris EL, Babovic V, Falconer RA (2003) Velocity predictions in compound channels with vegetated flood plains using genetic programming. Int J River Basin Manag 1:117–123

    Article  Google Scholar 

  • He L, Huang GH, Zeng GM, Lu HW (2008) Wavelet-based multiresolution analysis for data cleaning and its application to water quality management systems. Expert Syst Appl 35:1301–1310

    Article  Google Scholar 

  • Jayawardena AW, Xu PC, Tsang FL, Li WK (2006) Determining the structure of a radial basis function network for prediction of nonlinear hydrological time series. Hydrol Sci J 51:21–44

    Article  Google Scholar 

  • Karimi S, Shiri J, Kisi O, Makarynskyy O (2012) Forecasting water level fluctuations of Urmieh lake using gene expression programming and adaptive neuro-fuzzy inference system. Int J Ocean Clim Syst 3:109–125

    Article  Google Scholar 

  • Kisi O, Shiri J (2011) Precipitation forecasting using wavelet-genetic programming and wavelet-neuro-fuzzy conjunction models. Water Resour Manag 25(13):3135–3152

    Article  Google Scholar 

  • Kisi O, Shiri J, Makarynskyy O (2011) Wind speed prediction by using different wavelet conjunction models. Int J Ocean Clim Syst 2(3):189–208

    Article  Google Scholar 

  • Kisi O, Akbari N, Sanatipour M, Hashemi A, Teimourzadeh K, Shiri J (2013a) Modeling of dissolved oxygen in river water using artificial intelligence techniques. J Environ Inform 22(2):92–101

    Article  Google Scholar 

  • Kisi O, Shiri J, Tombul M (2013b) Modeling rain fall-runoff process using soft computing techniques. Comput Geosci 51:108–117

    Article  Google Scholar 

  • Koza JR (1992) Genetic Programming: On the programming of computers by means of Natural Selection. The MIT Press, Cambridge (Vol. 1)

  • Legates DR, McCabe GJ Jr (1999) Evaluating the use of goodness-of-fit measures in hydrologic and hydroclimatic model validation. Water Resour Res 35:233–241

    Article  Google Scholar 

  • Makarynskyy O (2007) Artificial neural networks in wave predictions at the west coast of Portugal. Indian J Mar Sci 39:7–17

    Google Scholar 

  • Mallat S (1998) A wavelet tour of signal processing. Academic Press, New York. 16

  • Masters T (1993) Practical neural network recipes in C++. Academic Press, Morgan Kaufmann, San Diego

  • May DB, Sivakumar M (2009) Prediction of urban stormwater quality using artificial neural networks. Environ Model Softw 24:296–302

    Article  Google Scholar 

  • Meyer FW (1989) Hydrogeology, Ground-water Movement, and Subsurface Storage in the Florida Aquifer System in Southern Florida. Washington: United States Geological Survey Professional Paper 1403-G US Government Printing Office

  • Mitchell TM, Michell T (1997) Machine Learning (Mcgraw-Hill Series in Computer Science) 

  • Mirbagheri SA, Nourani V, Rajaee T, Alikhani A (2010) Neuro-fuzzy models employing wavelet analysis for suspended sediment concentration prediction in rivers. Hydrol. Sci. J 55(7):1175–1189

  • 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 

  • Nash JE, Sutcliffe JV (1970) River flow forecasting through conceptual models, part I: a discussion of principles. J Hydrol 10:282–290

    Article  Google Scholar 

  • Nourani V, Komasi M, Mano A (2009) A multivariate ANN-wavelet approach for rainfall-runoff modeling. Water Resour Manag 23:2877–2894

    Article  Google Scholar 

  • Nourani V, Komasi M, Alami MT (2012) Hybrid wavelet-genetic programming approach to optimize ANN modeling of rainfall-runoff process. J Hydrol Eng 17(6):724–741

    Article  Google Scholar 

  • Nourani V, Baghanam A, Adamowski J, Kisi O (2014) Applications of hybrid wavelet-artificial intelligence models in hydrology: a review. J Hydrol 514:358–377

    Article  Google Scholar 

  • Osowski S, Garanty K (2007) Forecasting of the daily meteorological pollution using wavelets and support vector machine. Eng Appl Artif Intell 20:745–755

    Article  Google Scholar 

  • Pasquini A, Depetris P (2007) Discharge trends and flow dynamics of South American rivers draining the southern Atlantic seaboard: an overview. J Hydrol 333:385–399

    Article  Google Scholar 

  • Rajaee T (2010) Wavelet and neuro-fuzzy conjunction approach for suspended sediment prediction. Clean Soil Air Water 38:275–86

    Article  Google Scholar 

  • Rajaee T, Mirbagheri SA, Nourani V, Alikhani A (2011a) Prediction of daily suspended sediment load using wavelet and neuro-fuzzy combined model. Int J Environ Sci Technol 7:93–110

    Article  Google Scholar 

  • Rajaee T, Nourani V, Zounemat-Kermani M, Kisi O (2011b) River suspended sediment load prediction: application of ANN and wavelet conjunction model. ASCE J Hydrol Eng 16:613–627

    Article  Google Scholar 

  • Roushangar K, Vojoudi Mehrabani F, Alami MT (2013) Forecasting daily stream flows of Vaniar River using genetic programming and neural networks approaches. J Civil Eng Urban 3(4):197–200

    Google Scholar 

  • Shiri J, Kisi O (2012) Estimation of daily suspended sediment load by using wavelet conjunction models. J Hydrol Eng 17(9):986–1000

    Article  Google Scholar 

  • Shiri J, Sadraddini A, Nazemi A, Kisi O, Landeras G, FakheriFard A, Marti P (2014) Generalizability of gene expression programming-based approaches for estimating daily reference evapotranspiration in coastal stations of Iran. J Hydrol 508:1–11

    Article  Google Scholar 

  • Singh RM (2012) Wavelet-ANN model for nutrient load predictions in rivers. Comput Sci 7677:558–565

    Google Scholar 

  • Snedecor GW, Cochran WG (1981) Statistical methods, 7th edn. Iowa State Univ Press, Ames

    Google Scholar 

  • Suen JP, Eheart JW (2003) Evaluation of neural networks for modeling nitrate concentration in rivers. J Water Resour Plan Manag 129:505–510

    Article  Google Scholar 

  • Vitousek PM, Aber JD, Howarth RW, Likens GE, Matson PA, Schindler DW, Schlesinger WH, Tilman DG (1997) Human alteration of the global nitrogen cycle: sources and consequences. Ecol Appl 7(3):737–750

    Google Scholar 

  • Yasseri SF, Bahai H, Bazargan H, Aminzadeh A (2010) Prediction of safe sea-state using finite element method and artificial neural networks. Ocean Eng 37:200–207

    Article  Google Scholar 

  • Zhou C, Xiao W, Tirpak TM, Nelson PC (2003) Evolving classification rules with gene expression programming. IEEE Trans Evol Comput 7(6):519–531

    Article  Google Scholar 

  • Zounemat-Kermani M, Kisi O, Rajaee T (2013) Performance of radial basis and LM-feed forward artificial neural networks for predicting daily watershed runoff. Applied Soft Computing 13(12):4633–4644

Download references

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Rajaee, T., Shahabi, A. Evaluation of wavelet-GEP and wavelet-ANN hybrid models for prediction of total nitrogen concentration in coastal marine waters. Arab J Geosci 9, 176 (2016). https://doi.org/10.1007/s12517-015-2220-x

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