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Chin. Phys. B, 2023, Vol. 32(2): 028901    DOI: 10.1088/1674-1056/ac80b1

Investigating the characteristic delay time in the leader-follower behavior in children single-file movement

Shu-Qi Xue(薛书琦)1,†, Nirajan Shiwakoti2, Xiao-Meng Shi(施晓蒙)3, and Yao Xiao(肖尧)4
1 School of Modern Posts, Xi'an University of Posts and Telecommunications, Xi'an 710061, China;
2 School of Engineering, RMIT University Carlton, Victoria 3053, Australia;
3 Jiangsu Key Laboratory of Urban ITS, Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, School of Transportation, Southeast University, Nanjing 211189, China;
4 School of Intelligent Systems Engineering, Sun Yat-sen University, Shenzhen 510275, China
Abstract  The single-file movement experiment offered a convenient way to investigate the one-dimensional leader-follower behavior of pedestrians. This study investigated the time delays of children pedestrians in the leader-follower behavior by introducing a time-dependent delayed speed correlation. A total of 118 German students from the fifth grade (aged 11-12 years old) and the 11th grade (aged 17-18 years old) participated the single-file experiment. The characteristic delay time for each pedestrian was identified by optimising the time-dependent delayed speed correlation. The influences of the curvature of the experimental scenario, density, age, and gender on the delay time were statistically examined. The results suggested that to a large extent, the revealed characteristic delay time was a density-dependent variable, and none of the curvatures, the age and gender of the individual, and the age and gender of the leader had a significant influence on it. The findings from this study are variable resources to understand the leader-follower behavior among children pedestrians and to build related simulation models.
Keywords:  speed matching      speed correlation      curvature      following behavior  
Received:  13 April 2022      Revised:  17 June 2022      Accepted manuscript online:  13 July 2022
PACS:  89.40.-a (Transportation)  
  05.50.+q (Lattice theory and statistics)  
  05.70.Fh (Phase transitions: general studies)  
  01.50.Pa (Laboratory experiments and apparatus)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 71901175, 71901060, and 72101276).
Corresponding Authors:  Shu-Qi Xue     E-mail:

Cite this article: 

Shu-Qi Xue(薛书琦), Nirajan Shiwakoti, Xiao-Meng Shi(施晓蒙), and Yao Xiao(肖尧) Investigating the characteristic delay time in the leader-follower behavior in children single-file movement 2023 Chin. Phys. B 32 028901

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