A Modified Nonlinear Grey Bernoulli Model Used for Water Consumption Prediction

2019 ◽  
Vol 78 (8) ◽  
Author(s):  
Yanbin Yuan ◽  
Hao Zhao ◽  
Xiaohui Yuan ◽  
Liya Chen ◽  
Xiaohui Lei

2017 ◽  
Vol 18 (3) ◽  
pp. 1093-1102 ◽  
Author(s):  
Subing Lü ◽  
Fuqiang Wang ◽  
Yumin Yu ◽  
Huayu Zhong ◽  
Shiguo Xu

Abstract The water consumption system is a typical dissipative structure system, and its evolution can be described with information entropy. Meanwhile understanding the principal driving factors in the evolution of water consumption is essential for water consumption prediction and management. Firstly, the information entropies of water consumption in China were calculated from 1997 to 2010. Secondly, the principal driving factors were extracted using principal component analysis. Finally, based on the principal driving factors, the water consumption system was predicted. The results showed that the entropies can be divided into two stages: an entropy increasing period (1997–2002) and an entropy convergence period (2003–2010). On a national scale, the entropies in the majority of provinces are focused between 0.6 and 1.1. The principal driving factors were population, gross domestic product, food production, command irrigation area, and urban consumption levels. Chinese water consumption structure will develop an inverted ‘U’-shape curve and water consumption levels are expected to plateau during 1997 to 2020. The system is gradually becoming more orderly through coordination and self-organization.


Water ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 760 ◽  
Author(s):  
Hongyan Du ◽  
Zhihua Zhao ◽  
Huifeng Xue

Water resource is considered as a significant factor in the development of regional environment and society. Water consumption prediction can provide an important decision basis for the regional water supply scheduling optimizations. According to the periodicity and randomness nature of the daily water consumption data, a Markov modified autoregressive moving average (ARIMA) model was proposed in this study. The proposed model, combined with the Markov chain, can correct the prediction error, reduce the continuous superposition of prediction error, and improve the prediction accuracy of future daily water consumption data. The daily water consumption data of different monitoring points were used to verify the effectiveness of the model, and the future water consumption was predicted in the study area. The results show that the proposed algorithm can effectively reduce the prediction error compared to the ARIMA.


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