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Humans are able to self-paced constant running accelerations until exhaustion

Author

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  • Billat, Véronique
  • Brunel, Nicolas J-B.
  • Carbillet, Thomas
  • Labbé, Stéphane
  • Samson, Adeline

Abstract

Although it has been experimentally reported that speed variations is the optimal way of optimizing his pace for achieving a given distance in a minimal time, we still do not know what the optimal speed variations (i.e. accelerations) are. At first, we have to check the hypothesis that human is able to accurately self-pacing its acceleration and this even in a state of fatigue during exhaustive self-pacing ramp runs. For that purpose, 3 males and 2 females middle-aged, recreational runners ran, in random order, three exhaustive acceleration trials. We instructed the five runners to perform three self-paced acceleration trials based on three acceleration intensity levels: ”soft”, ”medium” and ”hard”. We chose a descriptive modelling approach to analyse the behaviour of the runners. Once we knew that the runners were able to perceive three acceleration intensity levels, we proposed a mean-reverting process (Ornstein–Uhlenbeck) to describe those accelerations: dat=−θ(at−a)dt+σdWt where a is the mean acceleration, at is the measured acceleration at each time interval t, θ the ability of the runner to correct the variations around a mean acceleration and σ the human induced variations. The goodness-of-fit of the Ornstein–Uhlenbeck process highlights the fact that humans are able to maintain a constant acceleration and are able to precisely regulate their acceleration (regardless of its intensity) in a run leading to exhaustion in the range from 1 min 36 s to 20 min.

Suggested Citation

  • Billat, Véronique & Brunel, Nicolas J-B. & Carbillet, Thomas & Labbé, Stéphane & Samson, Adeline, 2018. "Humans are able to self-paced constant running accelerations until exhaustion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 290-304.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:290-304
    DOI: 10.1016/j.physa.2018.04.058
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    References listed on IDEAS

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    1. Dennis M. Bramble & Daniel E. Lieberman, 2004. "Endurance running and the evolution of Homo," Nature, Nature, vol. 432(7015), pages 345-352, November.
    2. Billat, Véronique L. & Mille-Hamard, Laurence & Meyer, Yves & Wesfreid, Eva, 2009. "Detection of changes in the fractal scaling of heart rate and speed in a marathon race," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3798-3808.
    3. Rainer Schöbel & Jianwei Zhu, 1999. "Stochastic Volatility With an Ornstein–Uhlenbeck Process: An Extension," Review of Finance, European Finance Association, vol. 3(1), pages 23-46.
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    Cited by:

    1. Véronique Billat & Damien Vitiello & Florent Palacin & Matthieu Correa & Jean Renaud Pycke, 2020. "Race Analysis of the World’s Best Female and Male Marathon Runners," IJERPH, MDPI, vol. 17(4), pages 1-6, February.

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