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.
Similar content being viewed by others
References
Zhu Z X, China Statistical Yearbook, China Statistics Press, Beijing, 2013.
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.
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.
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.
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.
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.
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.
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.
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.
Pindyck R S and Rubinfeld D L, Econometric Models and Economic Forecasts, Irwin/McGraw-Hill, Boston, 1998.
Erdogdu E, Electricity demand analysis using cointegration and ARIMA modelling: A case study of Turkey, Energy Policy, 2007, 35(2): 1129–1146.
Deng J, Grey Prediction and Decision, Huazhong University of Science and Technology Press, Wuhan, China, 1986.
Akay D and Atak M, Grey prediction with rolling mechanism for electricity demand forecasting of Turkey, Energy, 2007, 32(9): 1670–1675.
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.
Nilsson N J, Principles of Artificial Intelligence, Morgan Kaufmann, San Francisco, 2014.
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.
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.
Yu S and Zhu K, A hybrid procedure for energy demand forecasting in China, Energy, 2012, 37(1): 396–404.
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.
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.
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.
Madala H R and Ivakhnenko A G, Inductive Learning Algorithms for Complex Systems Modeling, CRC Press, Boca Raton, 1994.
Ivakhnenko A G, Polynomial theory of complex systems, IEEE Transactions on Systems, Man and Cybernetics, 1971, 1(4): 364–378.
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.
He C Z, Self-organizing Data Mining and Economic Forecasting, Science Publish, Beijing, 2005.
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.
Zhang G P, Time series forecasting using a hybrid ARIMA and neural network model, Neurocomputing, 2003, 50(1): 159–175.
Vapnik V, The Nature of Statistical Learning Theory, Springer, Berlin, 1999.
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.
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.
Deng J L, Grey Control System, Printing House of Central China University of Science and Technology, Hubei, 1985.
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.
Deng J L, Introduction to grey system theory, The Journal of Grey System, 1989, 1(1): 1–24.
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.
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.
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.
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.
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.
Author information
Authors and Affiliations
Corresponding authors
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
About this article
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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11424-017-6030-y