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Multifractal classification of road traffic flows

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  • 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
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    References listed on IDEAS

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    1. Shang, Pengjian & Li, Xuewei & Kamae, Santi, 2005. "Chaotic analysis of traffic time series," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 121-128.
    2. 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.
    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.
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    Citations

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    Cited by:

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    5. 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).
    6. 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.
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    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.

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