Skip to main content

Advertisement

Log in

Long-term monthly streamflow forecasting in humid and semiarid regions

  • Research Article - Hydrology
  • Published:
Acta Geophysica Aims and scope Submit manuscript

Abstract

Long-term monthly streamflow forecasting has great importance in the water resource system planning. However, its modelling in extreme cases is difficult, especially in semiarid regions. The main purpose of this paper is to evaluate the accuracy of artificial neural networks (ANNs) and hybrid wavelet-artificial neural networks (WA-ANNs) for multi-step monthly streamflow forecasting in two different hydro-climatic regions in Northern Algeria. Different issues have been addressed, both those related to the model’s structure and those related to wavelet transform. The discrete wavelet transform has been used for the preprocessing of the input variables of the hybrid models, and the multi-step streamflow forecast was carried out by means of a recursive approach. The study demonstrated that WA-ANN models outperform the single ANN models for the two hydro-climatic regions. According to the performance criteria used, the results highlighted the ability of WA-ANN models with lagged streamflows, precipitations and evapotranspirations to forecast up to 19 months for the humid region with good accuracy [Nash–Sutcliffe criterion (Ns) equal 0.63], whereas, for the semiarid region, the introduction of evapotranspirations does not improve the model’s accuracy for long lead time (Ns less than 0.6 for all combinations used). The maximum lead time achieved, for the semiarid region, was about 13 months, with only lagged streamflows as inputs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Abda Z, Chettih M (2018) Forecasting daily flow rate-based intelligent hybrid models combining wavelet and Hilbert–Huang transforms in the mediterranean basin in northern Algeria. Acta Geophys. https://doi.org/10.1007/s11600-018-0188-0

    Google Scholar 

  • Addison PS (2002) The illustrated wavelet handbook: introduction theory and applications in science, engineering, medicine and finance. IOP Publishing Ltd

  • Adamowski J, Sun K (2010) Development of a coupled wavelet transform and neural network method for flow forecasting of non-perennial rivers in semiarid watersheds. J Hydrol 390:85–91

    Article  Google Scholar 

  • Akrami SA, El-Shafie A, Naseri M, Santos CAG (2014) Rainfall data analyzing using moving average (MA) model and wavelet multi-resolution intelligent model for noise evaluation to improve the forecasting accuracy. Neural Comput Appl 25:1853–1861

    Article  Google Scholar 

  • Balkin SD, Ord JK (2000) Automatic neural network modeling for univariate time series. Int J Forecast 16:509–515

    Article  Google Scholar 

  • Baratti R, Cannas B, Fanni A, Pintus M, Sechi GM, Toreno N (2003) River flow forecast for reservoir management through neural networks. Neurocomputing 55(3):421–437

    Article  Google Scholar 

  • Burden F, Winkler D (2008) Bayesian regularization of neural networks. In: Livingstone DS (ed) Artificial neural networks: methods in molecular biology™, vol 458. Humana Press. https://doi.org/10.1007/978-1-60327-101-1_3

  • Chiew FHS, McMahon TA (2002) Global ENSO-streamflow teleconnection, streamflow forecasting and interannual variability. Hydrol Sci J 47(3):505–522

    Article  Google Scholar 

  • Danadeh Mehr A, Kahya E, Şahin A, Nazemosadat MJ (2014) Successive-station monthly streamflow prediction using different artificial neural network algorithms. Int J Environ Sci Technol 12:2191–2200

    Article  Google Scholar 

  • Danandeh Mehr A, Kahya E, Şahin A, Nazemosadat MJ (2015) Successive-station monthly streamflow prediction using different artificial neural network algorithms. Int J Environ Sci Technol 12(7):2191–2200

    Article  Google Scholar 

  • Daubechies I (1992) Ten lectures on wavelets. In: CSBM-NSF series on applied mathematics, vol 61. SIAM Publication

  • Djerbouai S, Souag-Gamane D (2016) Drought forecasting using neural networks, wavelet neural networks, and stochastic models: case of Algerois Basin in North Algeria. Water Resour Res. https://doi.org/10.1007/s11269-016-1298-6

    Google Scholar 

  • Dunne T (1983) Relation of field studies and modeling in the prediction of storm runoff. J Hydrol 65:25–48

    Article  Google Scholar 

  • Foresee D, Hagan MT (1997) Gauss-Newton approximation to Bayesian learning. In: Proceedings of the 1997 international joint conference on neural networks, vol 3, pp 1930–1935

  • Geman S, Bienenstock E, Dourast R (1992) Neural networks and the bias/variance dilemma. Neural Comput 04:1–58

    Article  Google Scholar 

  • Hadi SJ, Tombul M (2018a) Streamflow forecasting using four wavelet transformation combinations approaches with data-driven models: a comparative study. Water Resour Manag. https://doi.org/10.1007/s11269-018-2077-3

    Google Scholar 

  • Hadi SJ, Tombul M (2018b) Monthly streamflow forecasting using continuous wavelet and multi-gene genetic programming combination. J Hydrol 561:674–687

    Article  Google Scholar 

  • He Z, Zhang Y, Guo Q, Zhao X (2014) Comparative study of artificial neural networks and wavelet artificial neural networks for groundwater depth data forecasting with various curve fractal dimensions. Water Resour Manag 28:5297–5317. https://doi.org/10.1007/s11269-014-0802-0

    Article  Google Scholar 

  • Ji Y, Hao J, Reyhani N, Lendasse A (2005) Direct and recursive prediction of time series using mutual information selection neural network. Lect Notes Comput Sci 3512:1010–1017

    Article  Google Scholar 

  • Karran DJ, Morin E, Adamowski J (2014) Multi-step streamflow forecasting using data-driven non-linear methods in contrasting climate regimes. J Hydroinform 16:671–689

    Article  Google Scholar 

  • Kayri M (2016) Predictive abilities of bayesian regularization and Levenberg–Marquardt algorithms in artificial neural networks: a comparative empirical study on social data. Math Comput Appl 21:20

    Google Scholar 

  • Kisi O (2008) Streamflow forecasting using neuro-wavelet technique. Hydrol Process 22:4142–4152

    Article  Google Scholar 

  • Kisi O (2009) Neural networks and wavelet conjunction model for intermittent streamflow forecasting. J Hydrol Eng 14(8):773–782

    Article  Google Scholar 

  • Kisi O, Cigizoglu HK (2007) Comparison of different ANN techniques in river flow prediction. Civ Eng Environ Syst 24:211–231

    Article  Google Scholar 

  • Kisi O, Cimen M (2011) A wavelet-support vector machine conjunction model for monthly streamflow forecasting. J Hydrol 399:132–140

    Article  Google Scholar 

  • Kisi O, Partal T (2011) Wavelet and neuro-fuzzy conjunction model for streamflow forecasting. Hydrol Res 42:447–456

    Article  Google Scholar 

  • Labat D (2005) Recent advances in wavelet analyses: part 1. A review of concepts. J Hydrol 314:275–288

    Article  Google Scholar 

  • Labat D, Ababou R, Mangin A (2000) Rainfall–runoff relations for karstic springs. part II: continuous. J Hydrol 248:149–278

    Google Scholar 

  • 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 

  • Maheswaran R, Khosa R (2012) Comparative study of different wavelets for hydrologic forecasting. Comput Geosci 46:284–295

    Article  Google Scholar 

  • Makwanana JJ, Tiwari MK (2014) Intermittent streamflow forecasting and extreme event modelling using wavelet based artificial neural networks. Water Resour Res 28:4857–4873

    Google Scholar 

  • Mallat SG (1989) A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell 11: 674–693. https://doi.org/10.1109/34.192463

    Article  Google Scholar 

  • Nalley D, Adamowski J, Khalil B (2012) Using discrete wavelet transforms to analyze trends in streamflow and precipitation in Quebec and Ontario (1954–2008). J Hydrol 475:204–228

    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 

  • Nason G, Sachs R, Krois G (2000) Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum. J R Stat Soc B 62:271–292

    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, Kisi O, Komasi M (2011) Two hybrid artificial intelligence approaches for modeling rainfall–runoff process. J Hydrol 402:41–59

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Pagano TC, Garen DC, Perkins TR, Pasteris PA (2009) Daily updating of operational statistical seasonal water supply forecasts for the western US. J Am Water Resour Assoc 45:767–778

    Article  Google Scholar 

  • Partal T, Küçük M (2006) Long-term trend analysis using discrete wavelet components of annual precipitations measurements in Marmara region (Turkey). Phys Chem Earth 31:1189–1200

    Article  Google Scholar 

  • Percival DB (2008) Analysis of geophysical time series using discrete wavelet transforms: an overview. In: Donner RV, Barbosa SM (eds) Nonlinear time series analysis in the geosciences–applications in climatology, geodynamics, and solar-terrestrial physics, vol 112, pp 61–79

  • Robertson DE, Wang QJ (2012) A Bayesian approach to predictor selection for seasonal streamflow forecasting. J Hydrometeorol. https://doi.org/10.1175/JHM-D-10-05009.1

    Google Scholar 

  • Rogers WF (1982) Some characteristics and implications of drainage basin linearity and nonlinearity. J Hydrol 55:247–265

    Article  Google Scholar 

  • Sang YF (2012) A practical guide to discrete wavelet decomposition of hydrologic time series. Water Resour Manag 26:3345–3365

    Article  Google Scholar 

  • Santos CAG, Silva GBL (2014) Daily streamflow forecasting using a wavelet transform and artificial neural network hybrid models. Hydrol Sci J 59:1–13

    Article  Google Scholar 

  • Santos CAG, Freire PKMM, Silva GBL, Silva RM (2014) Discrete wavelet transform coupled with ANN for daily discharge forecasting into Três Marias reservoir. Proc Int Assoc Hydrol Sci 364:100–105

    Google Scholar 

  • Seo Y, Kim S, Kisi O, Singh VP (2015) Daily water level forecasting using wavelet decomposition and artificial intelligence techniques. J Hydrol 520:224–243. https://doi.org/10.1016/j.jhydrol.2014.11.050

    Article  Google Scholar 

  • Shoaib M, Shamseldin AY, Melville BW (2014) Comparative study of different wavelet based neural network models for rainfall–runoff modelling. J Hydrol 515:47–58

    Article  Google Scholar 

  • Shoaib M, Shamseldin AY, Khan S, Khan MM, Khan ZM, Sultan T, Melville BW (2017) A comparative study of various hybrid wavelet feed forward neural network models for runoff forecasting. Water Resour Res. https://doi.org/10.1007/s11269-017-1796-1

    Google Scholar 

  • Sun AY, Wang D, Xu X (2014) Monthly streamflow forecasting using Gaussian process regression. J Hydrol 511:72–81

    Article  Google Scholar 

  • Toth E, Brath A (2007) Multistep ahead streamflow forecasting: role of calibration data in conceptual and neural network modelling. Water Resour Res. https://doi.org/10.1029/2006WR005383

    Google Scholar 

  • Van Ogtrop FF, Vervoort RW, Heller GZ, Stasinopoulos DM, Rigby RA (2011) Long-range forecasting of intermittent streamflow. Hydrol Earth Syst Sci 15:3343–3354

    Article  Google Scholar 

  • Wang D, Wu L (2012) Similarity between runoff coefficient and perennial stream density in the Budyko framework. Hydrol Earth Syst Sci 09:7571–7589

    Article  Google Scholar 

  • Wang W, Van Gelder Pieter HAJM, Vrijlingb JK, Mac Jun (2006a) Forecasting daily streamflow using hybrid ANN models. J Hydrol 324:383–399

    Article  Google Scholar 

  • Wang W, Vrijling JK, Van Gelder PHAJM, Ma J (2006b) Testing for nonlinearity of streamflow processes at different timescales. J Hydrol 322:247–268

    Article  Google Scholar 

  • Wei S, Yang H, Song J, Abbaspour K, Xu Z (2014) A wavelet-neural network hybrid modelling approach for estimating and predicting river monthly flows. Hydrol Sci J. https://doi.org/10.1080/02626667.2012.754102

    Google Scholar 

  • Williams JR, Amaratunga K (1994) Introduction to wavelets in engineering. Int J Numer Methods Eng 37:2365–2388

    Article  Google Scholar 

  • Xiaoyu L, Bing WK, Simon YF (1999) Time series prediction based on fuzzy principles. Department of Electrical and Computer Engineering, FAMU-FSU College of Engineering, Florida State University, Tallahassee, FL 32310

  • Yonaba H, Anctil F, Fortin V (2010) Comparing sigmoid transfer functions for neural network multistep ahead streamflow forecasting. J Hydrol Eng 15:275–283

    Article  Google Scholar 

  • Zakhrouf M, Bouchelkia H, Stamboul M, Kim S, Heddam S (2018) Time series forecasting of river flow using an integrated approach of wavelet multi-resolution analysis and evolutionary data-driven models. A case study: Sebaou river (Algeria). Phys Geogr. https://doi.org/10.1080/02723646.2018.1429245

    Google Scholar 

  • Zhang GP, Patuwo BE, Hu MY (1998) Forecasting with artificial neural networks: the state of the art. Int J Forecast 14:35–62

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Doudja Souag-Gamane.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fouchal, A., Souag-Gamane, D. Long-term monthly streamflow forecasting in humid and semiarid regions. Acta Geophys. 67, 1223–1240 (2019). https://doi.org/10.1007/s11600-019-00312-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11600-019-00312-3

Keywords

Navigation