[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v474y2017icp70-84.html
   My bibliography  Save this article

Detecting intrinsic dynamics of traffic flow with recurrence analysis and empirical mode decomposition

Author

Listed:
  • Xiong, Hui
  • Shang, Pengjian
  • Bian, Songhan
Abstract
In this paper, we apply the empirical mode decomposition (EMD) method to the recurrence plot (RP) and recurrence quantification analysis (RQA), to evaluate the frequency- and time-evolving dynamics of the traffic flow. Based on the cumulative intrinsic mode functions extracted by the EMD, the frequency-evolving RP regarding different oscillation of modes suggests that apparent dynamics of the data considered are mainly dominated by its components of medium- and low-frequencies while severely affected by fast oscillated noises contained in the signal. Noises are then eliminated to analyze the intrinsic dynamics and consequently, the denoised time-evolving RQA diversely characterizes the properties of the signal and marks crucial points more accurately where white bands in the RP occur, whereas a strongly qualitative agreement exists between all the non-denoised RQA measures. Generally, the EMD combining with the recurrence analysis sheds more reliable, abundant and inherent lights into the traffic flow, which is meaningful to the empirical analysis of complex systems.

Suggested Citation

  • Xiong, Hui & Shang, Pengjian & Bian, Songhan, 2017. "Detecting intrinsic dynamics of traffic flow with recurrence analysis and empirical mode decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 70-84.
    • Handle: RePEc:eee:phsmap:v:474:y:2017:i:c:p:70-84
    DOI: 10.1016/j.physa.2017.01.060
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117300705
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.01.060?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gao, Zi-You & Li, Ke-Ping & Li, Xin-Gang & Huang, Hai-Jun & Mao, Bao-Hua & Zheng, Jian-Feng, 2007. "Scaling laws of the network traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 577-584.
    2. Peter Martey Addo, 2015. "Insights to the European debt crisis using recurrence quantification and network analysis," Documents de travail du Centre d'Economie de la Sorbonne 15035, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Zheng, Jian-Feng & Gao, Zi-You, 2008. "A weighted network evolution with traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6177-6182.
    4. Chen, Wei-Shing, 2011. "Use of recurrence plot and recurrence quantification analysis in Taiwan unemployment rate time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1332-1342.
    5. Zhao, Xiaojun & Shang, Pengjian & Lin, Aijing & Chen, Gang, 2011. "Multifractal Fourier detrended cross-correlation analysis of traffic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3670-3678.
    6. Fei Ji & Zhaohua Wu & Jianping Huang & Eric P. Chassignet, 2014. "Evolution of land surface air temperature trend," Nature Climate Change, Nature, vol. 4(6), pages 462-466, June.
    7. Wang, Jing & Shang, Pengjian & Xia, Jianan & Shi, Wenbin, 2015. "EMD based refined composite multiscale entropy analysis of complex signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 583-593.
    8. Peter Martey Addo, 2015. "Insights to the European debt crisis using recurrence quantification and network analysis," Post-Print halshs-01164025, HAL.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wu, Jiaxin & Zhou, Xubing & Peng, Yi & Zhao, Xiaojun, 2022. "Recurrence analysis of urban traffic congestion index on multi-scale," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    2. Mao, Xuegeng & Yang, Albert C. & Peng, Chung-Kang & Shang, Pengjian, 2020. "Analysis of economic growth fluctuations based on EEMD and causal decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. Xiong, Hui & Shang, Pengjian & He, Jiayi, 2019. "Nonuniversality of the horizontal visibility graph in inferring series periodicity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    4. He, Qian & Yu, Fusheng, 2023. "Trend recurrence analysis and time series classification via trend fuzzy granular recurrence plot method," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peter Martey Addo, 2015. "Coupling direction of the European Banking and Insurance sectors using inter-system recurrence networks," Documents de travail du Centre d'Economie de la Sorbonne 15051, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. Peter Martey Addo, 2015. "Coupling direction of the European Banking and Insurance sectors using inter-system recurrence networks," Post-Print halshs-01169516, HAL.
    3. Yin, Yi & Shang, Pengjian & Feng, Guochen, 2016. "Modified multiscale cross-sample entropy for complex time series," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 98-110.
    4. Zhang, Mengyao & Huang, Tao & Guo, Zhaoxia & He, Zhenggang, 2022. "Complex-network-based traffic network analysis and dynamics: A comprehensive review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    5. İşcanoğlu-Çekiç, Ayşegül & Gülteki̇n, Havva, 2019. "Are cross-correlations between Turkish Stock Exchange and three major country indices multifractal or monofractal?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 978-990.
    6. Xu, Mengjia & Shang, Pengjian & Lin, Aijing, 2017. "Multiscale recurrence quantification analysis of order recurrence plots," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 381-389.
    7. Zhuang, Xiaoyang & Wei, Yu & Ma, Feng, 2015. "Multifractality, efficiency analysis of Chinese stock market and its cross-correlation with WTI crude oil price," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 101-113.
    8. Li, Huajiao & An, Haizhong & Liu, Xueyong & Gao, Xiangyun & Fang, Wei & An, Feng, 2016. "Price fluctuation in the energy stock market based on fluctuation and co-fluctuation matrix transmission networks," Energy, Elsevier, vol. 117(P1), pages 73-83.
    9. Linan Sun & Antao Wang & Jiayao Wang, 2022. "Spatial Characteristics Analysis for Coupling Strength among Air Pollutants during a Severe Haze Period in Zhengzhou, China," IJERPH, MDPI, vol. 19(14), pages 1-19, July.
    10. Zhai, Lu-Sheng & Liu, Ruo-Yu, 2019. "Local detrended cross-correlation analysis for non-stationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 222-233.
    11. Xu, Meng & Shang, Pengjian, 2018. "Analysis of financial time series using multiscale entropy based on skewness and kurtosis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1543-1550.
    12. Xi, Caiping & Zhang, Shuning & Xiong, Gang & Zhao, Huichang & Yang, Yonghong, 2017. "Two-dimensional multifractal cross-correlation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 59-69.
    13. Petre Caraiani & Emmanuel Haven, 2013. "The Role of Recurrence Plots in Characterizing the Output-Unemployment Relationship: An Analysis," PLOS ONE, Public Library of Science, vol. 8(2), pages 1-11, February.
    14. Meo, Marcos M. & Iaconis, Francisco R. & Del Punta, Jessica A. & Delrieux, Claudio A. & Gasaneo, Gustavo, 2024. "Multifractal information on reading eye tracking data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    15. Dutta, Srimonti & Ghosh, Dipak & Samanta, Shukla, 2014. "Multifractal detrended cross-correlation analysis of gold price and SENSEX," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 195-204.
    16. Liang Qiao & Zhiyan Zuo & Renhe Zhang & Shilong Piao & Dong Xiao & Kaiwen Zhang, 2023. "Soil moisture–atmosphere coupling accelerates global warming," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    17. Xiong, Hui & Shang, Pengjian & He, Jiayi, 2019. "Nonuniversality of the horizontal visibility graph in inferring series periodicity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    18. Ziyan Zheng & Zhuguo Ma & Mingxing Li & Jiangjiang Xia, 2017. "Regional water budgets and hydroclimatic trend variations in Xinjiang from 1951 to 2000," Climatic Change, Springer, vol. 144(3), pages 447-460, October.
    19. Li, Bao-Gen & Ling, Dian-Yi & Yu, Zu-Guo, 2021. "Multifractal temporally weighted detrended partial cross-correlation analysis of two non-stationary time series affected by common external factors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    20. Wang, Shujia & Yang, Zhuojin & Zheng, Xin & Ma, Zhuang, 2024. "Analysis of complex time series based on EEMD energy entropy plane," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:474:y:2017:i:c:p:70-84. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.