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A deceleration model for bicycle peloton dynamics and group sorting

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  • Trenchard, Hugh
  • Ratamero, Erick
  • Richardson, Ashlin
  • Perc, Matjaž

Abstract

Extending earlier computer models of bicycle peloton dynamics, we add a deceleration parameter by which deceleration magnitude varies as a function of cyclist strength. This model is validated by applying speed data from a mass-start race composed of 14 cyclists, and running simulation trials using 14 simulated cyclists that generated positional profiles which compare well with the positional profiles observed in the actual mass-start race data. Keeping constant the speed variation profile from the mass-start race as introduced into the simulation, a set of simulation experiments were run, including: varying the number of cyclists; varying the duration of a single near-threshold output event; and varying the course elevation. The results consistently show sorting of pelotons into smaller groups whose mean fitness corresponds with relative group position, i.e. fitter groups are closer to the front. Sorting of pelotons into fitness-related groups provides insight into the mechanics of similar group divisions within biological collectives in which members present heterogeneous physiological fitness capacities.

Suggested Citation

  • Trenchard, Hugh & Ratamero, Erick & Richardson, Ashlin & Perc, Matjaž, 2015. "A deceleration model for bicycle peloton dynamics and group sorting," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 24-34.
    • Handle: RePEc:eee:apmaco:v:251:y:2015:i:c:p:24-34
    DOI: 10.1016/j.amc.2014.11.031
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    References listed on IDEAS

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    1. Trenchard, Hugh & Richardson, Ashlin & Ratamero, Erick & Perc, Matjaž, 2014. "Collective behavior and the identification of phases in bicycle pelotons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 92-103.
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    4. Trenchard, Hugh, 2013. "Peloton phase oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 194-201.
    5. Zhang, Shuichao & Ren, Gang & Yang, Renfa, 2013. "Simulation model of speed–density characteristics for mixed bicycle flow—Comparison between cellular automata model and gas dynamics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5110-5118.
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    Cited by:

    1. Li, Meng & Chen, Tao & Du, Hao & Ma, Na & Xi, Xinwei, 2022. "The speed and configuration of cyclist social groups: A field study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
    2. Trenchard, Hugh, 2015. "The peloton superorganism and protocooperative behavior," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 179-192.
    3. Hugh Trenchard & Matjaz Perc, 2016. "Equivalences in Biological and Economical Systems: Peloton Dynamics and the Rebound Effect," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-9, May.

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