Fluctuations in Pedestrian Evacuation Times: Going One Step Beyond the Exit Capacity Paradigm for Bottlenecks

  • Alexandre NicolasEmail author
Conference paper


For safety reasons, it is important that the designs of buildings and public facilities comply with the guidelines compiled in building codes. The latter are often premised on the concept of exit capacity, i.e., the mean pedestrian flow rate through a bottleneck (at congestion). Here, we argue that one should duly take into account the evacuation time fluctuations when devising these guidelines. This is particularly true when the narrowing is abrupt and the crowd may behave competitively. We suggest a simple way to assess the extent of (part of) these fluctuations on the basis of the statistics of time gaps between successive escapes through the considered bottleneck, which in practice could be garnered by analysing recordings of future real evacuations or, perhaps, realistic drills (in the limits of what is ethically possible). We briefly present a test of the proposed strategy using a cellular automaton model and confirm its validity under some conditions, but also disclose some of its limitations. In particular, it may severely underestimate fluctuations in the presence of strong correlations in the pedestrians’ behaviours (while still performing better than only the mean capacity).


  1. 1.
    Arrêté du 25 juin 1980 portant approbation des dispositions générales du règlement de sécurité contre les risques d’incendie et de panique dans les établissements recevant du public (ERP)—section 9, co 36. Journal Officiel (1980-06-25–last modified 2017-07-01).
  2. 2.
    Florida Building Commission, et al.: Florida building code. Florida Building Commission, Tallahassee (2010)Google Scholar
  3. 3.
    Football League Authority: Guide to Safety at Sports Grounds, 5th edn. Department for Culture, Media and Sports, Norwich (2008)Google Scholar
  4. 4.
    Garcimartín, A., Pastor, J., Ferrer, L.M., Ramos, J., Martín-Gómez, C., Zuriguel, I.: Flow and clogging of a sheep herd passing through a bottleneck. Phys. Rev. E 91(2), 022808 (2015)CrossRefGoogle Scholar
  5. 5.
    Garcimartín, A., Parisi, D., Pastor, J., Martín-Gómez, C., Zuriguel, I.: Flow of pedestrians through narrow doors with different competitiveness. J. Stat. Mech. Theory Exp. 2016(4), 043402 (2016)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Helbing, D., Farkas, I., Vicsek, T.: Simulating dynamical features of escape panic. Nature 407(6803), 487–490 (2000)CrossRefGoogle Scholar
  7. 7.
    Kretz, T., Grünebohm, A., Schreckenberg, M.: Experimental study of pedestrian flow through a bottleneck. J. Stat. Mech. Theory Exp. 2006(10), P10014 (2006)CrossRefGoogle Scholar
  8. 8.
    Lin, P., Ma, J., Liu, T., Ran, T., Si, Y., Li, T.: An experimental study of the ‘faster-is-slower’ effect using mice under panic. Phys. A Stat. Mech. Appl. 452, 157–166 (2016)CrossRefGoogle Scholar
  9. 9.
    Lin, P., Ma, J., Liu, T.Y., Ran, T., Si, Y.L., Wu, F.Y., Wang, G.Y.: An experimental study of the impact of an obstacle on the escape efficiency by using mice under high competition. Phys. A Stat. Mech. Appl. 482, 228–242 (2017)CrossRefGoogle Scholar
  10. 10.
    Lozano, C., Janda, A., Garcimartín, A., Maza, D., Zuriguel, I.: Flow and clogging in a silo with an obstacle above the orifice. Phys. Rev. E 86(3), 031306 (2012)CrossRefGoogle Scholar
  11. 11.
    Nicolas, A., Bouzat, S., Kuperman, M.N.: Statistical fluctuations in pedestrian evacuation times and the effect of social contagion. Phys. Rev. E 94, 022313 (2016)CrossRefGoogle Scholar
  12. 12.
    Nicolas, A., Bouzat, S., Kuperman, M.N.: Pedestrian flows through a narrow doorway: Effect of individual behaviours on the global flow and microscopic dynamics. Transp. Res. Part B Methodol. 99, 30–43 (2017)CrossRefGoogle Scholar
  13. 13.
    Nicolas, A., Touloupas, I.: Origin of the correlations between exit times in pedestrian flows through a bottleneck. J. Stat. Mech. Theory Exp. 2018, 013402 (2018)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Pastor, J.M., Garcimartín, A., Gago, P.A., Peralta, J.P., Martín-Gómez, C., Ferrer, L.M., Maza, D., Parisi, D.R., Pugnaloni, L.A., Zuriguel, I.: Experimental proof of faster-is-slower in systems of frictional particles flowing through constrictions. Phys. Rev. E 92(6), 062817 (2015)CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.LPTMS, CNRS, Université Paris-Sud, Université Paris-SaclayOrsayFrance

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