Skip to main content
Log in

The Research of Monthly Discharge Predictor-corrector Model Based on Wavelet Decomposition

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

Based on wavelet analysis theory, a wavelet predictor-corrector model is developed for the simulation and prediction of monthly discharge time series. In this model, the non-stationary time series of monthly discharge is decomposed into an approximated time series and several stationary detail time series according to the principle of wavelet decomposition. Each one of the decomposed time series is predicted, respectively, through the ARMA model for stationary time series. Then the correction procedure is conducted for the sum of the prediction results. Taking the monthly discharge at Yichang station of Yangtse River as an example, the monthly discharge is simulated by using ARMA model, seasonal ARIMA model, BP artificial neural network model and the wavelet predictor-corrector model proposed in this article, respectively. And the effect of decomposition scale for the wavelet predictor-corrector model is also discussed. It is shown that the wavelet predictor-corrector model has higher prediction accuracy than the some other models and the decomposition scale has no obvious effect on the prediction for monthly discharge time series in the example.

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.

Similar content being viewed by others

References

  • Aussem A, Murtagh F (1997) Combing neural network forecasts on wavelet-transformed time series. Connect Sci 10(1):113–121

    Article  Google Scholar 

  • Aussem A, Campbell J, Murtagh F (1997) Wavelet-based feature extraction and decomposition strategies for financial forecasting. J Comput Intell Finance 1–17

  • Box GEP, Jenkins GM, Reinsel GC (1997) Time series analysis: forecasting and control. China Statistic Press, Beijing, China

    Google Scholar 

  • Chang FJ, Chen YC (2001) A counterpropagation fuzzy-neural network modeling approach to real time streamflow prediction. J Hydrol 245:153–164

    Article  Google Scholar 

  • Chen SY, Li QG (2004) An areal rainfall forecasting method based on fuzzy optimum neural network and geography information system. 2004 World Congress on Intelligent Control and Automation

  • Chen SY, Wang W, Qu GF (2004) Combining wavelet transform and Markov model to forecast traffic volume. In: Proceedings of the third international conference on machine learning and cybernetics, Shanghai, pp 2815–2818

  • Cristea P, Tuduce R, Cristea A (2000) Time series prediction with wavelet neural networks. 5th seminar on neural network Applications in Electrical Engineering, pp 5–10

  • Hagan M, Menhaj M (1994) Training multilayer networks with the Marquardt algorithm. IEEE Trans Neural Netw 5(6):989–993

    Article  Google Scholar 

  • Huang W, Xu B, Chan-Hilton A (2004) Forecasting flows in Apalachicola River using neural networks. Hydrol Process 18(13):2545–2564

    Article  Google Scholar 

  • Islam MN, Sivakumar B (2002) Characterization and prediction of runoff dynamics: a nonlinear dynamical view. Adv Water Resour 25:179–190

    Article  Google Scholar 

  • Jayawardena AW, Li WK, Xu P (2002) Neighbourhood selection for local modeling and prediction of hydrological time series. J Hydrol 258:40–57

    Article  Google Scholar 

  • Liong SY, Sivapragasm C (2002) Flood stage forecasting with SVM. J Am Water Resour Assoc 38(1):173–186

    Article  Google Scholar 

  • Mallat SG (1989) A theory for multi-resolution signal decomposition: the wavelet representation. IEEE Trans PAMI 117:674–693

    Google Scholar 

  • Raman H, Sunilkumar N (1995) Multivariate modeling of water resources time series using artificial neural networks. Hydrol Sci J 40(2):145–163

    Article  Google Scholar 

  • Salas JD, Delleur JW, Yevjevich V, Lane WL (1980) Applied modeling of hydrologic time series. Water Resouces Pub, p 484

  • Sivakumar B, Jayawardena AW, Fernando TMKG (2002) River flow forecasting: use of phase-space reconstruction and artificial neural networks approaches. J Hydrol 265:225–245

    Article  Google Scholar 

  • Wang WS, Ding J (2003) Wavelet network model and its application to the prediction of hydrology. Nature and Science 1(1):67–71

    Google Scholar 

  • Yevjevich V (1972) Stochastic process in hydrology. Water Resouces Pub, Colorado

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yong Peng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhou, Hc., Peng, Y. & Liang, Gh. The Research of Monthly Discharge Predictor-corrector Model Based on Wavelet Decomposition. Water Resour Manage 22, 217–227 (2008). https://doi.org/10.1007/s11269-006-9152-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-006-9152-x

Key words

Navigation