IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v31y2007i5p1089-1094.html
   My bibliography  Save this article

Multifractal classification of road traffic flows

Author

Listed:
  • Li, Xuewei
  • Shang, Pengjian

Abstract

Multifractality, present in traffic flow, usually connected with irregular scaling behavior and self-similarity. A multifractal spectrum is used to classify traffic behavior measurements. The width spread and the maximum of spectrum, two measures characterizing the spectrum of observations, are proposed as the distinguishing features among the samples. Data, observed on Beijing Yuquanying highway over a period of about 40 months, from January 16, 2001 to June 17, 2004, were used in the study. Analysis based on descriptive statistics is provided to obtain the statistical description of the inherited multifractality. The multifractal process was validated to be appropriate in the classification of the traffic flow.

Suggested Citation

  • Li, Xuewei & Shang, Pengjian, 2007. "Multifractal classification of road traffic flows," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1089-1094.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:5:p:1089-1094
    DOI: 10.1016/j.chaos.2005.10.109
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905010313
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.10.109?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. Stanley, H.E. & Amaral, L.A.N. & Goldberger, A.L. & Havlin, S. & Ivanov, P.Ch. & Peng, C.-K., 1999. "Statistical physics and physiology: Monofractal and multifractal approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 309-324.
    2. Shang, Pengjian & Li, Xuewei & Kamae, Santi, 2005. "Chaotic analysis of traffic time series," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 121-128.
    3. Evertsz, Carl J.G. & Mandelbrot, Benoit B., 1992. "Self-similarity of harmonic measure on DLA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 77-86.
    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. Silva, L.B.M. & Vermelho, M.V.D. & Lyra, M.L. & Viswanathan, G.M., 2009. "Multifractal detrended fluctuation analysis of analog random multiplicative processes," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2806-2811.
    2. Dai, Meifeng & Hou, Jie & Ye, Dandan, 2016. "Multifractal detrended fluctuation analysis based on fractal fitting: The long-range correlation detection method for highway volume data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 722-731.
    3. Jiang, Chenguang & Shang, Pengjian & Shi, Wenbin, 2016. "Multiscale multifractal time irreversibility analysis of stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 492-507.
    4. Dai, Meifeng & Zhang, Cheng & Zhang, Danping, 2014. "Multifractal and singularity analysis of highway volume data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 332-340.
    5. Salmasi, Mehrdad & Modarres-Hashemi, M., 2009. "Design and analysis of fractal detector for high resolution radars," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2133-2145.
    6. Lin, Aijing & Shang, Pengjian, 2016. "Multifractality of stock markets based on cumulative distribution function and multiscale multifractal analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 527-534.
    7. Carranza, Juan Pablo & Piumetto, Mario Andrés & Lucca, Carlos María & Da Silva, Everton, 2022. "Mass appraisal as affordable public policy: Open data and machine learning for mapping urban land values," Land Use Policy, Elsevier, vol. 119(C).
    8. Xu, Kaiye & Shang, Pengjian & Feng, Guochen, 2015. "Multifractal time series analysis using the improved 0–1 test model," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 134-143.

    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. Dai, Meifeng & Zhang, Cheng & Zhang, Danping, 2014. "Multifractal and singularity analysis of highway volume data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 332-340.
    2. Chen, Yanguang, 2014. "Multifractals of central place systems: Models, dimension spectrums, and empirical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 266-282.
    3. Currenti, Gilda & Negro, Ciro Del & Lapenna, Vincenzo & Telesca, Luciano, 2005. "Fluctuation analysis of the hourly time variability of volcano-magnetic signals recorded at Mt. Etna Volcano, Sicily (Italy)," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1921-1929.
    4. Nagarajan, Radhakrishnan & Kavasseri, Rajesh G., 2005. "Minimizing the effect of periodic and quasi-periodic trends in detrended fluctuation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 777-784.
    5. Stosic, Tatijana & Telesca, Luciano & Stosic, Borko, 2021. "Multiparametric statistical and dynamical analysis of angular high-frequency wind speed time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    6. Guan, Sihai & Wan, Dongyu & Yang, Yanmiao & Biswal, Bharat, 2022. "Sources of multifractality of the brain rs-fMRI signal," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    7. Nagarajan, Radhakrishnan & Kavasseri, Rajesh G., 2005. "Minimizing the effect of trends on detrended fluctuation analysis of long-range correlated noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 182-198.
    8. Lovallo, Michele & Lapenna, Vincenzo & Telesca, Luciano, 2005. "Transition matrix analysis of earthquake magnitude sequences," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 33-43.
    9. Alvarez-Ramirez, Jose & Rodriguez, Eduardo & Echeverria, Juan Carlos & Puebla, Hector, 2008. "Correlation analysis of chaotic trajectories from Chua’s system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1157-1169.
    10. Olga Y. Uritskaya & Vadim M. Uritsky, 2015. "Predictability of price movements in deregulated electricity markets," Papers 1505.08117, arXiv.org.
    11. Yin, Yi & Shang, Pengjian, 2016. "Forecasting traffic time series with multivariate predicting method," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 266-278.
    12. Yulmetyev, Renat M. & Demin, Sergey A. & Panischev, Oleg Yu. & Hänggi, Peter, 2005. "Age-related alterations of relaxation processes and non-Markov effects in stochastic dynamics of R–R intervals variability from human ECGs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 336-352.
    13. Yin, Yi & Shang, Pengjian & Ahn, Andrew C. & Peng, Chung-Kang, 2019. "Multiscale joint permutation entropy for complex time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 388-402.
    14. Inoue, Kei & Tani, Kazuki, 2023. "Quantification of chaos in a time series generated from a traffic flow model using the extended entropic chaos degree," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    15. Mukli, Peter & Nagy, Zoltan & Eke, Andras, 2015. "Multifractal formalism by enforcing the universal behavior of scaling functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 150-167.
    16. Alvarez-Ramirez, J. & Ibarra-Valdez, C. & Rodriguez, E. & Urrea, R., 2007. "Fractality and time correlation in contemporary war," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1039-1049.
    17. Suárez-García, Pablo & Gómez-Ullate, David, 2014. "Multifractality and long memory of a financial index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 226-234.
    18. Iseri, Müge & Caglar, Hikmet & Caglar, Nazan, 2008. "A model proposal for the chaotic structure of Istanbul stock exchange," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1392-1398.
    19. Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos & Rodriguez, Eduardo & Dagdug, Leonardo, 2008. "1/f-Noise structures in Pollocks's drip paintings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 281-295.
    20. Shang, Du & Xu, Mengjia & Shang, Pengjian, 2017. "Generalized sample entropy analysis for traffic signals based on similarity measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 1-7.

    More about this item

    Statistics

    Access and download statistics

    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:chsofr:v:31:y:2007:i:5:p:1089-1094. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.