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Fractal Analysis of Empirical and Simulated Traffic Time Series

In: Traffic and Granular Flow '15

Author

Listed:
  • Thomas Zaksek

    (University of Duisburg-Essen, Physics of Transport and Traffic)

  • Michael Schreckenberg

    (University of Duisburg-Essen, Physics of Transport and Traffic)

Abstract

TimeZaksek, Thomas series canSchreckenberg, Michael show signs of fractal and multi-fractal behaviour. An analysis from this perspective can unearth features of time series that remain hidden for analysis with standard statistics. We analyse the multi-fractal spectra of traffic time series with the help of Multi-fractal Detrended Fluctuation Analysis (MDFA). Empirical time series of traffic flows and velocities measured by loop detectors are compared with time series gathered from traffic simulations. As a second focus, we analyse multi-fractal features of time series from different vehicle classes, i.e. passenger and transport traffic.

Suggested Citation

  • Thomas Zaksek & Michael Schreckenberg, 2016. "Fractal Analysis of Empirical and Simulated Traffic Time Series," Springer Books, in: Victor L. Knoop & Winnie Daamen (ed.), Traffic and Granular Flow '15, pages 435-442, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-33482-0_55
    DOI: 10.1007/978-3-319-33482-0_55
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