基于状态转移网络的PM2.5时间变化特征与相似性分析
Analysis of Time Variation Characteristics and Similarity of Urban PM2.5 Based on State Transfer Network
摘要: 揭示城市雾霾演化规律对雾霾浓度预测和雾霾防治具有重要的现实意义。本文选取2019~2020年中国长三角地区四座城市上海、杭州、宁波、苏州的PM2.5日均浓度指数数据,用可视小图方法分别建立了这四座城市的PM2.5状态转移网络。通过分析这四个状态转移网络,发现全连接的基本图均为这四个转移网络中的重要节点。进一步计算了该节点的位置序列的扩散熵指数后发现该节点的出现存在长程关联。最后,通过矩阵相似性等方法对比了城市间PM2.5浓度演化的相似程度,发现宁波和苏州的PM2.5浓度演化规律相似度较高。
Abstract: It is of important practical significance to reveal the evolution law of urban haze for the prediction of haze concentration as well as the prevention and control of haze. In this article, we selected the dai-ly average concentration index data of PM2.5 in four cities in the Yangtze River Delta region of China from 2019 to 2020, including Shanghai, Hangzhou, Ningbo, and Suzhou. Then, we used the visuali-zation method to establish the PM2.5 state transition network of each city. The four state transition networks were analyzed, and it was found that the fully connected basic graph is the important mo-tif in these four transition networks. The diffusion entropy index of the position sequence of the mo-tif was further calculated, and it was found that there was a long-range correlation between the ap-pearance of the motif. Finally, the similarity degree of PM2.5 concentration evolution between cities was compared by methods such as matrix similarity, and it was found that Ningbo and Suzhou had high similarity in PM2.5 concentration evolution law.
文章引用:金晓辰, 顾长贵, 杨璐祯. 基于状态转移网络的PM2.5时间变化特征与相似性分析[J]. 应用数学进展, 2022, 11(11): 7596-7606. https://doi.org/10.12677/AAM.2022.1111804

参考文献

[1] Gao, J., Tian, H., Cheng, K., et al. (2015) The Variation of Chemical Characteristics of PM2.5 and PM10 and Formation Causes during Two Haze Pollution Events in Urban Beijing, China. Atmospheric Environment, 107, 1-8. [Google Scholar] [CrossRef
[2] 薛超. 合肥市PM_(2.5)污染成因及重污染过程粒径分布研究[D]: [硕士学位论文]. 合肥: 合肥学院, 2022. [Google Scholar] [CrossRef
[3] 王涵. 邢台市秋冬季大气PM_(2.5)污染成因解析及控制对策研究[D]: [硕士学位论文]. 北京: 北京建筑大学, 2021. [Google Scholar] [CrossRef
[4] Mi, Y., Sun, K., Li, L., et al. (2021) Spatiotemporal Pat-tern Analysis of PM2.5 and the Driving Factors in the Middle Yellow River Urban Agglomerations. Journal of Cleaner Production, 299, Article ID: 126904. [Google Scholar] [CrossRef
[5] 邵帅, 李欣, 曹建华, 等. 中国雾霾污染治理的经济政策选择——基于空间溢出效应的视角[J]. 经济研究, 2016, 51(9): 73-88.
[6] 邓光耀, 周颖钦. 我国雾霾的区域差异及与经济增长的脱钩分析[J]. 西华大学学报: 哲学社会科学版, 2022, 41(1): 16.
[7] 蔡海亚, 徐盈之, 孙文远. 中国雾霾污染强度的地区差异与收敛性研究——基于省际面板数据的实证检验[J]. 山西财经大学学报, 2017, 39(3): 1-14.
[8] Li, H.L., Jia, R.Y. and Wan, X.J. (2022) Time Series Classification Based on Complex Network. Ex-pert Systems with Applications, 194, Article ID: 116502. [Google Scholar] [CrossRef
[9] 薛安, 耿恩泽. 基于复杂网络的中国城市PM2.5区域划分[J]. 应用基础与工程科学学报, 2015, 23(s1): 68-78.
[10] Jin, Q., Fang, X., Wen, B., et al. (2017) Spatio-Temporal Variations of PM2.5 Emission in China from 2005 to 2014. Chem-osphere, 183, 429-436. [Google Scholar] [CrossRef] [PubMed]
[11] 马宇博, 高广阔. 基于节点重要性评价的京津冀雾霾污染网络研究[J]. 环境科学学报, 2018, 38(6): 2287-2296.
[12] 王皓晴, 顾长贵. 基于复杂网络理论对长三角雾霾网络的城市节点重要性研究[J]. 中国水运(下半月), 2019, 19(1): 92-94.
[13] 肖琴, 陆钰婷. 基于复杂网络的区域空气污染PM_(2.5)分析[J]. 应用技术学报, 2019, 19(1): 7.
[14] 张晓勇, 王仲君. 城市PM_(2. 5)扩散网络模型的研究[J]. 中国环境监测, 2014, 30(6): 129-132. [Google Scholar] [CrossRef
[15] Lacasa, L., Luque, B., Ballesteros, F., et al. (2008) From Time Series to Complex Networks: The Visibility Graph. Proceedings of the National Academy of Sciences of the United States of America, 105, 4972-4975. [Google Scholar] [CrossRef] [PubMed]
[16] McCullough, M., Small, M., Stemler, T., et al. (2015) Time Lagged Ordinal Partition Networks for Capturing Dynamics of Continuous Dynamical Systems. Chaos, 25, Article ID: 053101. [Google Scholar] [CrossRef] [PubMed]
[17] Mutua, S., Gu, C.G. and Yang, H.J. (2015) Visibility Graph Based Time Series Analysis. PLOS ONE, 10, e0143015. [Google Scholar] [CrossRef] [PubMed]
[18] Li, S.W., Zhuang, Y.Y. and He, J.M. (2016) Stock Market Sta-bility: Diffusion Entropy Analysis. Physica A: Statistical Mechanics and Its Applications, 450, 462-465. [Google Scholar] [CrossRef
[19] Shannon, C.E. (1948) A Mathematical Theory of Communication. Bell Systems Technical Journal, 27, 379-423. [Google Scholar] [CrossRef
[20] 孙龙龙, 顾长贵, 冯靖, 等. 四大名著文本中的无标度规律[J]. 上海理工大学学报, 2019, 41(1): 77-83.
[21] Rodríguez-Luján, I., Huerta, R., Elkan, C., et al. (2010) Quadratic Programming Feature Selection. Journal of Machine Learning Research, 11, 1491-1516.
[22] Hu, J., Zhang, Y., Wu, P., et al. (2022) An Analysis of the Global Fuel-Trading Market Based on the Visibility Graph Approach. Cha-os, Solitons & Fractals, 154, Article ID: 111613. [Google Scholar] [CrossRef
[23] Milo, R., Shen-Orr, S., Itzkovitz, S., Kashtan, N., Chklovskii, D. and Alon, U. (2002) Network Motifs: Simple Building Blocks of Complex Networks. Science, 298, 824-827. [Google Scholar] [CrossRef] [PubMed]
[24] Ching, E.S.C., Lai, P.-Y. and Leung, C.Y. (2014) Erratum: Extracting Connectivity from Dynamics of Networks with Uniform Bidirectional Coupling [Phys. Rev. E 88, 042817 (2013)]. Physical Review E, 89, Article ID: 029901. [Google Scholar] [CrossRef
[25] Mutua, S., Gu, C.G. and Yang, H.J. (2016) Visibility Graphlet Approach to Chaotic Time Series. Chaos: An Interdisciplinary Journal of Nonlinear Science, 26, Article ID: 053107. [Google Scholar] [CrossRef] [PubMed]