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Open AccessArticle

A Novel Linear Time-Varying GM(1,N) Model for Forecasting Haze: A Case Study of Beijing, China

1
College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
2
School of Business Administration, Zhejiang University of Finance and Economics, Hangzhou 310018, China
3
School of Economics, Zhejiang University of Finance and Economics, Hangzhou 310018, China
*
Author to whom correspondence should be addressed.
Sustainability 2019, 11(14), 3832; https://doi.org/10.3390/su11143832
Received: 29 May 2019 / Revised: 10 July 2019 / Accepted: 10 July 2019 / Published: 13 July 2019
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Abstract

Haze is the greatest challenge facing China’s sustainable development, and it seriously affects China’s economy, society, ecology and human health. Based on the uncertainty and suddenness of haze, this paper proposes a novel linear time-varying grey model (GM)(1,N) based on interval grey number sequences. Because the original GM(1,N) model based on interval grey number sequences has constant parameters, it neglects the dynamic change characteristics of parameters over time. Therefore, this novel linear time-varying GM(1,N) model, based on interval grey number sequences, is established on the basis of the original GM(1,N) model by introducing a linear time polynomial. To verify the validity and practicability of this model, this paper selects the data of PM10, SO2 and NO2 concentrations in Beijing, China, from 2008 to 2018, to establish a linear time-varying GM(1,3) model based on interval grey number sequences, and the prediction results are compared with the original GM(1,3) model. The result indicates that the prediction effect of the novel model is better than that of the original model. Finally, this model is applied to forecast PM10 concentration for 2019 to 2021 in Beijing, and the forecast is made to provide a reference for the government to carry out haze control. View Full-Text
Keywords: haze; linear time-varying GM(1,N) model; interval grey number; Beijing; forecasting haze; linear time-varying GM(1,N) model; interval grey number; Beijing; forecasting
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Xiong, P.; Shi, J.; Pei, L.; Ding, S. A Novel Linear Time-Varying GM(1,N) Model for Forecasting Haze: A Case Study of Beijing, China. Sustainability 2019, 11, 3832.

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