Simulation of Downhill Skiing Areas

Authors

  • Buchuan Zhang Institute for Theoretical Physics, University of Cologne, Cologne, Germany
  • Tim Dressler Institute for Theoretical Physics, University of Cologne, Cologne, Germany
  • Alexander Maurer Institute for Theoretical Physics, University of Cologne, Cologne, Germany
  • Michael Nader KFV (Kuratorium für Verkehrssicherheit), Wien, Austria
  • Andreas Schadschneider Institute for Theoretical Physics, University of Cologne, Cologne, Germany https://orcid.org/0000-0002-2054-7973

DOI:

https://doi.org/10.17815/CD.2024.166

Keywords:

Self-driven particles, Model calibration, Cellular automata, Pedestrian trajectories

Abstract

Based on video analysis of downhill skiing areas a model for ski traffic is developed. The video analysis uses PeTrack to determine the trajectories of individual skiers which are then statistically analysed. A stochastic cellular automaton model is proposed that can reproduce the basic observed features. The empirical data are used for validation and calibration of the model. In the future, the model may help to analyse comfort and safety on skiing slopes, especially the risk of collisions.

References

François, H., Samacoïts, R., Bird, D., Köberl, J., Prettenthaler, F., Morin, S.: Climate change exacerbates snow-water-energy challenges for european ski tourism. Nature Climate Change 13, 935 (2023)

Ruedl, G., Kopp, M., Butscher, M., Bauer, R., Benedetto, K.: Ursachen und einflussfaktoren von personenkollisionen auf der skipiste. Sportverletz. Sportschaden 27(2), 100 (2013)

Feliciani, C., Shimura, K., Nishinari, K.: Introduction to Crowd Management. Springer (2001)

Treiber, M., Germ, R., Kesting, A.: From drivers to athletes - modeling and simulating cross-country skiing marathons. In: Traffic and Granular Flow '13, p. 243 (2015). doi:10.1007/978-3-319-10629-8_29. URL http://arxiv.org/abs/1403.4965

Treiber, M., Hennecke, A., Helbing, D.: Congested traffic states in empirical observations and microscopic simulations. Phys. Rev. E 62, 1805 (2000). doi:10.1103/PhysRevE.62.1805

Holleczek, T., Tröster, G.: Particle-based model for skiing traffic. Phys. Rev. E 85, 056101 (2012). doi:10.1103/PhysRevE.85.056101

Korecki, T., Palka, D., Was, J.: Adaptation of social force model for simulation of downhill skiing. J. Comp. Sci. 16, 29 (2016). URL 10.1016/j.jocs.2016.02.006

Palka, D., Was, J.: Modeling skiers dynamics and behaviors. In: Lect. Notes Comp. Sci., vol. 10449, p. 97 (2017). doi:10.1007/978-3-319-67077-5_10

Burstedde, C., Klauck, K., Schadschneider, A., Zittartz, J.: Simulation of pedestrian dynamics using a 2-dimensional cellular automaton. Physica A 295, 507 (2001)

Boltes, M., Seyfried, A., Steffen, B., Schadschneider, A.: Automatic extraction of pedestrian trajectories from video recordings. In: Pedestrian and Evacuation Dynamics 2008, p. 43 (2010)

Kuratorium für Verkehrssicherheit: Injury database (idb) austria. Online (2022). URL http://www.kfv.at/. Data from 2013 to 2022

Wallner, B., Rugg, C., Paal, P., Ströhle, M.: Collisions with another person while skiing and snowboarding: A 13-year national registry analysis. Injury 53, 2485 (2022)

Cover image

Downloads

Published

29.05.2024

How to Cite

Zhang, B., Dressler, T., Maurer, A., Nader, M., & Schadschneider, A. (2024). Simulation of Downhill Skiing Areas. Collective Dynamics, 9, 1–7. https://doi.org/10.17815/CD.2024.166

Issue

Section

Special Issue of Pedestrian and Evacuation Dynamics 2023