Skip to main content

Advertisement

Log in

China’s energy consumption forecasting by GMDH based auto-regressive model

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

It is very significant for us to predict future energy consumption accurately. As for China’s energy consumption annual time series, the sample size is relatively small. This paper combines the traditional auto-regressive model with group method of data handling (GMDH) suitable for small sample prediction, and proposes a novel GMDH based auto-regressive (GAR) model. This model can finish the modeling process in self-organized manner, including finding the optimal complexity model, determining the optimal auto-regressive order and estimating model parameters. Further, four different external criteria are proposed and the corresponding four GAR models are constructed. The authors conduct empirical analysis on three energy consumption time series, including the total energy consumption, the total petroleum consumption and the total gas consumption. The results show that AS-GAR model has the best forecasting performance among the four GAR models, and it outperforms ARIMA model, BP neural network model, support vector regression model and GM (1, 1) model. Finally, the authors give the out of sample prediction of China’s energy consumption from 2014 to 2020 by AS-GAR model.

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

  1. Zhu Z X, China Statistical Yearbook, China Statistics Press, Beijing, 2013.

    Google Scholar 

  2. Catalina T, Iordache V, and Caracaleanu B, Multiple regression model for fast prediction of the heating energy demand, Energy and Buildings, 2013, 57(3): 302–312.

    Article  Google Scholar 

  3. Pao H T, Fu H C, and Tseng C L, Forecasting of CO2 emissions, energy consumption and economic growth in China using an improved grey model, Energy, 2012, 40(1): 400–409.

    Article  Google Scholar 

  4. Ratrout N T, Short-term traffic flow prediction using group method data handling (GMDH)-based abductive networks, Arabian Journal for Science and Engineering, 2014, 39(2): 631–646.

    Article  Google Scholar 

  5. Yu S, Wei Y M, and Wang K, China’s primary energy demands in 2020: Predictions from an MPSOCRBF estimation model, Energy Conversion and Management, 2012, 61: 59–66.

    Article  Google Scholar 

  6. An N, Zhao W, Wang J, et al., Using multi-output feedforward neural network with empirical mode decomposition based signal filtering for electricity demand forecasting, Energy, 2013, 49(1): 279–288.

    Article  MathSciNet  Google Scholar 

  7. Bahrami S, Hooshmand R A, and Parastegari M, Short term electric load forecasting by wavelet transform and grey model improved by PSO (particle swarm optimization) algorithm, Energy, 2014, 72(8): 434–442.

    Article  Google Scholar 

  8. Kavousi-Fard A and Kavousi-Fard F, A new hybrid correction method for short-term load forecasting based on ARIMA, SVR and CSA, Journal of Experimental and Theoretical Artificial Intelligence, 2013, 25(4): 559–574.

    Article  Google Scholar 

  9. Wu Z and Xu J, Predicting and optimization of energy consumption using system dynamics-fuzzy multiple objective programming in world heritage areas, Energy, 2013, 49(1): 19–31.

    Article  Google Scholar 

  10. Pindyck R S and Rubinfeld D L, Econometric Models and Economic Forecasts, Irwin/McGraw-Hill, Boston, 1998.

    Google Scholar 

  11. Erdogdu E, Electricity demand analysis using cointegration and ARIMA modelling: A case study of Turkey, Energy Policy, 2007, 35(2): 1129–1146.

    Article  Google Scholar 

  12. Deng J, Grey Prediction and Decision, Huazhong University of Science and Technology Press, Wuhan, China, 1986.

    Google Scholar 

  13. Akay D and Atak M, Grey prediction with rolling mechanism for electricity demand forecasting of Turkey, Energy, 2007, 32(9): 1670–1675.

    Article  Google Scholar 

  14. Chen C I and Huang S J, The necessary and sufficient condition for GM (1, 1) grey prediction model, Applied Mathematics and Computation, 2013, 219(11): 6152–6162.

    Article  MathSciNet  MATH  Google Scholar 

  15. Nilsson N J, Principles of Artificial Intelligence, Morgan Kaufmann, San Francisco, 2014.

    MATH  Google Scholar 

  16. Unler A, Improvement of energy demand forecasts using swarm intelligence: The case of Turkey with projections to 2025, Energy Policy, 2008, 36(6): 1937–1944.

    Article  Google Scholar 

  17. Hu X M and Zhao G, Forecasting model of coal demand based on Matlab BP neural network, Chinese Journal of Management Science, 2008, 10(16): 521–525.

    Google Scholar 

  18. Yu S and Zhu K, A hybrid procedure for energy demand forecasting in China, Energy, 2012, 37(1): 396–404.

    Article  Google Scholar 

  19. Xiao J, Xiao Y, Fu J L, et al., A transfer forecasting model for container throughput guided by discrete PSO, Journal of Systems Science and Complexity, 2014, 27(1): 181–192.

    Article  MATH  Google Scholar 

  20. Xiao Y, Xiao J, Lu F B, et al., Ensemble ANNs-PSO-GA approach for day-ahead stock eexchange prices forecasting, International Journal of Computational Intelligence Systems, 2013, 7(2): 272–290.

    Article  MathSciNet  Google Scholar 

  21. Kiran M S, Ozceylan E, Gunduz M, et al., A novel hybrid approach based on particle swarm optimization and ant colony algorithm to forecast energy demand of Turkey, Energy Conversion and Management, 2012, 53(1): 75–83.

    Article  Google Scholar 

  22. Madala H R and Ivakhnenko A G, Inductive Learning Algorithms for Complex Systems Modeling, CRC Press, Boca Raton, 1994.

    MATH  Google Scholar 

  23. Ivakhnenko A G, Polynomial theory of complex systems, IEEE Transactions on Systems, Man and Cybernetics, 1971, 1(4): 364–378.

    Article  Google Scholar 

  24. Ivakhnenko A G, The review of problems solvable by algorithms of the group method of data handling (GMDH), Pattern Recognition and Image Analysis, 1995, 5(4): 527–535.

    Google Scholar 

  25. He C Z, Self-organizing Data Mining and Economic Forecasting, Science Publish, Beijing, 2005.

    Google Scholar 

  26. Kialashaki A and Reisel J R, Development and validation of artificial neural network models of the energy demand in the industrial sector of the United States, Energy, 2014, 76(11): 749–760.

    Article  Google Scholar 

  27. Zhang G P, Time series forecasting using a hybrid ARIMA and neural network model, Neurocomputing, 2003, 50(1): 159–175.

    Article  MATH  Google Scholar 

  28. Vapnik V, The Nature of Statistical Learning Theory, Springer, Berlin, 1999.

    MATH  Google Scholar 

  29. Kialashaki A and Reisel J R, Development and validation of artificial neural network models of the energy demand in the industrial sector of the United States, Energy, 2014, 76(11): 749–760.

    Article  Google Scholar 

  30. Jain R K, Smith K M, Culligan P J, et al., Forecasting energy consumption of multi-family residential buildings using support vector regression: Investigating the impact of temporal and spatial monitoring granularity on performance accuracy, Applied Energy, 2014, 123(6): 168–178.

    Article  Google Scholar 

  31. Deng J L, Grey Control System, Printing House of Central China University of Science and Technology, Hubei, 1985.

    MATH  Google Scholar 

  32. Liu S F and Forrest J, The role and position of grey system theory in science development, The Journal of Grey System, 1997, 9(4): 351–356.

    Google Scholar 

  33. Deng J L, Introduction to grey system theory, The Journal of Grey System, 1989, 1(1): 1–24.

    MathSciNet  MATH  Google Scholar 

  34. Lai I C, Chang Y, Lee C, et al., Source identification and characterization of atmospheric polycyclic aromatic hydrocarbons along the southwestern coastal area of Taiwan — With a GMDH approach, Journal of Environmental Management, 2013, 115(1): 60–68.

    Article  Google Scholar 

  35. Mrugalski M, An unscented Kalman filter in designing dynamic GMDH neural networks for robust fault detection, International Journal of Applied Mathematics and Computer Science, 2013, 23(1): 157–169.

    Article  MathSciNet  MATH  Google Scholar 

  36. Xiao J, He C Z, Jiang X, et al., A dynamic classifier ensemble selection approach for noise data, Information Sciences, 2010, 180(18): 3402–3421.

    Article  Google Scholar 

  37. Teng G E, He C Z, Xiao J, et al., Customer credit scoring based on HMM/GMDH hybrid model, Knowledge and Information Systems, 2013, 36(3): 731–747.

    Article  Google Scholar 

  38. Xiao J, He C Z, and Jiang X Y, Structure identification of Bayesian classifiers based on GMDH, Knowledge-Based Systems, 2009, 22(6): 461–470.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Ling Xie or Jin Xiao.

Additional information

This research was partly supported by the Natural Science Foundation of China under Grant Nos. 71471124 and 71301160, the National Social Science Foundation of China under Grant No. 14BGL175, Youth Foundation of Sichuan Province under Grant No. 2015RZ0056, Sichuan Province Social Science Planning Project under Grant No. SC14C019, Excellent Youth Fund of Sichuan University under Grant Nos. skqx201607 and skzx2016-rcrw14, Young Teachers Visiting Scholar Program of Sichuan University, Soft Science Foundation of Chengdu Technology Bureau under Grant No. 2015-RK00-00259-ZF, and Teaching Reform Project of Sichuan Radio and TV University under Grant No. XMZSXX2016003Z.

This paper was recommended for publication by Editor WANG Shouyang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xie, L., Xiao, J., Hu, Y. et al. China’s energy consumption forecasting by GMDH based auto-regressive model. J Syst Sci Complex 30, 1332–1349 (2017). https://doi.org/10.1007/s11424-017-6030-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-017-6030-y

Keywords

Navigation