Lévy Flight and the Interpersonal Distance of a Pedestrian in a Crowd
Source abstract
Abstract
A simple self-experiment allows for the measurement of individual pedestrian movements, aiming to understand the deviations from intended directions seen in heterogeneous human crowds. The method involves pedestrian self-observations using the GPS sensor of a smartphone, providing a unique perspective on individual behavior within a crowd and offering a means to evaluate average pedestrian speed. The study is focused on individual mobility in the context of a heterogeneous crowd rather than the behavior of a crowd composed of similar types of people. With this study, an important contribution to the understanding of interpersonal distances in heterogeneous crowds is made.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Evacuation and Crowd Dynamics · Human Mobility and Location-Based Analysis · Diffusion and Search Dynamics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
SFR Matrix, MOLTECH-Anjou—UMR CNRS 6200, Université d’Angers, F-49000 Angers, France
References (51)
Show source-provided references
1. The scaling laws of human travel10.1038/nature04292 ↗
2. Understanding individual human mobility patterns10.1038/nature06958 ↗
3. High statistics measurements of pedestrian dynamics
4. Statistical model fitting and model selection in pedestrian dynamics research
5. Borgers, A.W.J., Smeets, I.M.E., Kemperman, A.D.A.M., and Timmermans, H.J.P. (2006, January 4–7). Simulation of Micro Pedestrian Behaviour in Shopping Streets. Proceedings of the 8th International DDSS Conference, Thessalonike, Greece.
6. Experimental study of pedestrian counterflow in a corridor10.1088/1742-5468/2006/10/P10001 ↗
7. The scales of human mobility10.1038/s41586-020-2909-1 ↗
8. Formulation of pedestrian movement in microscopic models with continuous space representation10.1016/j.trc.2012.02.004 ↗
9. Lévy Walk Patterns in the Foraging Movements of Spider Monkeys (Ateles geoffroyi)10.1007/s00265-003-0700-6 ↗
10. Specification of a Microscopic Pedestrian Model by Evolutionary Adjustment to Video Tracking Data10.1142/S0219525907001355 ↗
11. Goubet, E., Katz, J., and Porikli, F. (2006, January 18–20). Pedestrian Tracking Using Thermal Infrared Imaging. Proceedings of the SPIE, Defense and Security Symposium, Orlando, FL, USA.10.1117/12.673132 ↗
12. Klingsch, W.W.F., Rogsch, C., Schadschneider, A., and Schreckenberg, M. (2010). Enhanced empirical data for the fundamental diagram and the flow through bottlenecks. Pedestrian and Evacuation Dynamics 2008, Springer.10.1007/978-3-642-04504-2 ↗
13. (2020, January 01). Available online: https://geofree.fr/gf/coordinateconv.asp#listSys.
14. Pouw, C.A.S., van der Vleuten, G.G.M., Corbetta, A., and Toschi, F. (2024). Data-driven physics-based modeling of pedestrian dynamics. arXiv.
15. A new approach for social group detection based on spatio-temporal interpersonal distance measurement10.1016/j.heliyon.2022.e11038 ↗
16. Feng, Y., and Li, D. (2017, January 7–9). Improved Social Force Models Considering Heterogenous Characteristics among Social Groups. Proceedings of the 17th COTA (Conference International Conference of Transportation Professionals), CICTP 2017, Shanghai, China.10.1061/9780784480915.385 ↗
17. Tracking Brownian motion in three dimensions and characterization of individual nanoparticles using a fiber-based high-finesse microcavity10.1038/s41467-021-26719-5 ↗
18. 111 years of Brownian motion10.1039/C6SM01153E ↗
19. Beyond Brownian motion10.1063/1.881487 ↗
20. Modelling the scaling properties of human mobility10.1038/nphys1760 ↗
21. Optimizing the success of random searches10.1038/44831 ↗
22. Levy flights search patterns of wandering albatrosses10.1038/381413a0 ↗
23. How many animals really do the levy walk10.1890/06-1769.1 ↗
24. Lévy flights in human behavior and cognition10.1016/j.chaos.2013.07.013 ↗
25. A universal power law governing pedestrian interactions10.1103/PhysRevLett.113.238701 ↗
26. On the Levy-Walk Nature of Human Mobility10.1109/TNET.2011.2120618 ↗
27. Empirical analysis of the lane formation process in bidirectional pedestrian flow10.1103/PhysRevE.94.032304 ↗
28. How simple rules determine pedestrian behavior and crowd disasters10.1073/pnas.1016507108 ↗
29. Yan, X.-Y., Han, X.-P., Wang, B.-H., and Zhou, T. (2013). Diversity of individual mobility patterns and emergence of aggregated scaling laws. Sci. Rep., 3.10.1038/srep02678 ↗
30. Travers, T., Colin, V.G., Loumaigne, M., Barillé, R., and Gindre, D. (2020). Single-Particle Tracking with Scanning Non-Linear Microscopy. Nanomaterials, 10.10.3390/nano10081519 ↗
31. Turchi, P. (1998). Quantitative Analysis of Movement, Eds Sunauer Associates.
32. Reynolds, A.M., and Ouellette, N.T. (2016). Swarm dynamics may give rise to Lévy flights. Sci. Rep., 6.10.1038/srep30515 ↗
33. Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer10.1038/nature06199 ↗
34. Hilborn, R., and Mangel, M. (1997). The Ecological Detective Confronting Models with Data, Princeton University Press. Chapter 7.
35. On estimating the exponent of power-law frequency distributions10.1890/07-1288.1 ↗
36. Power-Law Distributions in Empirical Data10.1137/070710111 ↗
37. Reynolds, A., Ceccon, E., Baldauf, C., Medeiros, T.K., and Miramontes, O. (2018). Lévy foraging patterns of rural humans. PLoS ONE, 13.10.1371/journal.pone.0199099 ↗
38. Evidence of Lévy walk foraging patterns in human hunter—Gatherers10.1073/pnas.1318616111 ↗
39. Pedestrian dynamics with different corridor widths: Investigation on a series of uni-directional and bi-directional experiments10.1016/j.physa.2021.126229 ↗
40. Collecting pedestrian trajectories10.1016/j.neucom.2012.01.036 ↗
41. Age and group driven pedestrian behavior: From observations to simulations
42. Multi-pattern of complex social pedestrian groups10.1016/j.trpro.2014.09.009 ↗
43. Traffic flow in a crowd of pedestrians walking at different speeds10.1103/PhysRevE.99.062307 ↗
44. Comparison of pedestrian fundamental diagram across cultures10.1142/S0219525909002209 ↗
45. Quantitative measurement of social repulsive force in pedestrian movements based on physiological responses10.1016/j.trb.2019.10.008 ↗
46. Huber, M., Su, Y.-H., Kruger, M., Faschian, K., Glasauer, S., and Hermsdorfer, J. (2014). Adjustments of Speed and Path when Avoiding Collisions with Another Pedestrian. PLoS ONE, 9.10.1371/journal.pone.0089589 ↗
47. Lévy walk process in self-organization of pedestrian crowds10.1098/rsif.2018.0939 ↗
48. The entropic basis of collective behavior10.1098/rsif.2015.0037 ↗
49. Dimensionless numbers reveal distinct regimes in the structure and dynamics of pedestrian crowds10.1093/pnasnexus/pgae120 ↗
50. Modeling and simulation analysis of crowd evacuation behavior under terrorist attack10.1016/j.physa.2022.127891 ↗
51. Katada, Y., Hasegawa, S., Yamashita, K., Okazaki, N., and Ohkura, K. (2022). Swarm Crawler Robots Using Lévy Flight for Targets Exploration in Large Environments. Robotics, 11.10.3390/robotics11040076 ↗