IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v456y2016icp222-227.html
   My bibliography  Save this article

An understanding of human dynamics in urban subway traffic from the Maximum Entropy Principle

Author

Listed:
  • Yong, Nuo
  • Ni, Shunjiang
  • Shen, Shifei
  • Ji, Xuewei

Abstract

We studied the distribution of entry time interval in Beijing subway traffic by analyzing the smart card transaction data, and then deduced the probability distribution function of entry time interval based on the Maximum Entropy Principle. Both theoretical derivation and data statistics indicated that the entry time interval obeys power-law distribution with an exponential cutoff. In addition, we pointed out the constraint conditions for the distribution form and discussed how the constraints affect the distribution function. It is speculated that for bursts and heavy tails in human dynamics, when the fitted power exponent is less than 1.0, it cannot be a pure power-law distribution, but with an exponential cutoff, which may be ignored in the previous studies.

Suggested Citation

  • Yong, Nuo & Ni, Shunjiang & Shen, Shifei & Ji, Xuewei, 2016. "An understanding of human dynamics in urban subway traffic from the Maximum Entropy Principle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 222-227.
    • Handle: RePEc:eee:phsmap:v:456:y:2016:i:c:p:222-227
    DOI: 10.1016/j.physa.2016.03.071
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116300693
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2016.03.071?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gao, Lingling, 2012. "Power-law decay of the view times of scientific courses on YouTube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5697-5703.
    2. Reynolds, A.M., 2011. "On the origin of bursts and heavy tails in animal dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 245-249.
    3. J. Guo & C. Fan & Z. Guo, 2011. "Weblog patterns and human dynamics with decreasing interest," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 81(3), pages 341-344, June.
    4. Gao, Lei & Guo, Jin-Li & Fan, Chao & Liu, Xue-Jiao, 2013. "Individual and group dynamics in purchasing activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(2), pages 343-349.
    5. Huang, Chung-Yuan & Tsai, Yu-Shiuan, 2010. "Effects of friend-making resources/costs and remembering on acquaintance networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 604-622.
    6. Albert-László Barabási, 2005. "The origin of bursts and heavy tails in human dynamics," Nature, Nature, vol. 435(7039), pages 207-211, May.
    7. Oliveira, J.G. & Vazquez, A., 2009. "Impact of interactions on human dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 187-192.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yong, Nuo & Ni, Shunjiang & Shen, Shifei & Ji, Xuewei, 2020. "A study of fluctuations in subway traffic from the control properties of networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    2. Yang, Kun & Zhu, Neng & Chang, Chen & Wang, Daquan & Yang, Shan & Ma, Shengming, 2018. "A methodological concept for phase change material selection based on multi-criteria decision making (MCDM): A case study," Energy, Elsevier, vol. 165(PB), pages 1085-1096.
    3. Yang, Kun & Ding, Yan & Zhu, Neng & Yang, Fan & Wang, Qiaochu, 2018. "Multi-criteria integrated evaluation of distributed energy system for community energy planning based on improved grey incidence approach: A case study in Tianjin," Applied Energy, Elsevier, vol. 229(C), pages 352-363.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhou, Bin & Xie, Jia-Rong & Yan, Xiao-Yong & Wang, Nianxin & Wang, Bing-Hong, 2017. "A model of task-deletion mechanism based on the priority queueing system of Barabási," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 415-421.
    2. Pan, Junshan & Hu, Hanping & Liu, Ying, 2014. "Human behavior during Flash Crowd in web surfing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 212-219.
    3. Sun, Zhi & Peng, Qinke & Lv, Jia & Zhong, Tao, 2017. "Analyzing the posting behaviors in news forums with incremental inter-event time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 203-212.
    4. Pedro Ramaciotti Morales & Jean-Philippe Cointet & Caterina Froio, 2022. "Posters and protesters," Journal of Computational Social Science, Springer, vol. 5(2), pages 1129-1157, November.
    5. Ladislav Kristoufek, 2016. "Power-law cross-correlations estimation under heavy tails," Papers 1602.05385, arXiv.org, revised Apr 2016.
    6. Pan, Junshan & Liu, Ying & Liu, Xiang & Hu, Hanping, 2016. "Discriminating bot accounts based solely on temporal features of microblog behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 193-204.
    7. Anzhi Sheng & Qi Su & Aming Li & Long Wang & Joshua B. Plotkin, 2023. "Constructing temporal networks with bursty activity patterns," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    8. He, Yifan & Zhao, Chen & Zeng, An, 2022. "Ranking locations in a city via the collective home-work relations in human mobility data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    9. Lu, Xi & Mo, Hongming & Deng, Yong, 2015. "An evidential opinion dynamics model based on heterogeneous social influential power," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 98-107.
    10. Wang, Cheng-Jun & Wu, Lingfei, 2016. "The scaling of attention networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 196-204.
    11. Simon DeDeo, 2016. "Conflict and Computation on Wikipedia: A Finite-State Machine Analysis of Editor Interactions," Future Internet, MDPI, vol. 8(3), pages 1-23, July.
    12. Gao, Cai & Yan, Chao & Zhang, Zili & Hu, Yong & Mahadevan, Sankaran & Deng, Yong, 2014. "An amoeboid algorithm for solving linear transportation problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 179-186.
    13. Jing Yang & Yingwu Chen, 2011. "Fast Computing Betweenness Centrality with Virtual Nodes on Large Sparse Networks," PLOS ONE, Public Library of Science, vol. 6(7), pages 1-5, July.
    14. Marina E Wosniack & Marcos C Santos & Ernesto P Raposo & Gandhi M Viswanathan & Marcos G E da Luz, 2017. "The evolutionary origins of Lévy walk foraging," PLOS Computational Biology, Public Library of Science, vol. 13(10), pages 1-31, October.
    15. Baltakys, Kęstutis & Kanniainen, Juho & Saramäki, Jari & Kivelä, Mikko, 2023. "Investor trade allocation patterns in stock markets," Journal of Economic Behavior & Organization, Elsevier, vol. 210(C), pages 191-209.
    16. Diao, Su-Meng & Liu, Yun & Zeng, Qing-An & Luo, Gui-Xun & Xiong, Fei, 2014. "A novel opinion dynamics model based on expanded observation ranges and individuals’ social influences in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 220-228.
    17. Liu, Jian-Guo & Li, Ren-De & Guo, Qiang & Zhang, Yi-Cheng, 2018. "Collective iteration behavior for online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 490-497.
    18. Chen, Ning & Zhu, Xuzhen & Chen, Yanyan, 2019. "Information spreading on complex networks with general group distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 671-676.
    19. Zhenpeng Li & Xijin Tang & Zhenjie Hong, 2022. "Collective attention dynamic induced by novelty decay," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(8), pages 1-11, August.
    20. C Ben Gibson & Norbou Buchler & Blaine Hoffman & Claire-Genevieve La Fleur, 2019. "Participation shifts explain degree distributions in a human communications network," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-13, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:456:y:2016:i:c:p:222-227. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.