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Fractal analysis on human dynamics of library loans

Author

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  • Fan, Chao
  • Guo, Jin-Li
  • Zha, Yi-Long

Abstract

In this paper, the fractal characteristic of human behaviors is investigated from the perspective of time series constructed with the amount of library loans. The values of the Hurst exponent and length of non-periodic cycle calculated through rescaled range analysis indicate that the time series of human behaviors and their sub-series are fractal with self-similarity and long-range dependence. Then the time series are converted into complex networks by the visibility algorithm. The topological properties of the networks such as scale-free property and small-world effect imply that there is a close relationship among the numbers of repetitious behaviors performed by people during certain periods of time. Our work implies that there is intrinsic regularity in the human collective repetitious behaviors. The conclusions may be helpful to develop some new approaches to investigate the fractal feature and mechanism of human dynamics, and provide some references for the management and forecast of human collective behaviors.

Suggested Citation

  • Fan, Chao & Guo, Jin-Li & Zha, Yi-Long, 2012. "Fractal analysis on human dynamics of library loans," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6617-6625.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6617-6625
    DOI: 10.1016/j.physa.2012.06.063
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    References listed on IDEAS

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    1. Liu, Chuang & Zhou, Wei-Xing & Yuan, Wei-Kang, 2010. "Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2675-2681.
    2. Stefan Thurner & Michael Szell & Roberta Sinatra, 2012. "Emergence of Good Conduct, Scaling and Zipf Laws in Human Behavioral Sequences in an Online World," PLOS ONE, Public Library of Science, vol. 7(1), pages 1-7, January.
    3. Yang, Yue & Yang, Huijie, 2008. "Complex network-based time series analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1381-1386.
    4. Marta C. González & César A. Hidalgo & Albert-László Barabási, 2009. "Understanding individual human mobility patterns," Nature, Nature, vol. 458(7235), pages 238-238, March.
    5. Vasiliki Plerou & Parameswaran Gopikrishnan & Luis. A. Nunes Amaral & Xavier Gabaix & H. Eugene Stanley, 1999. "Economic Fluctuations and Diffusion," Papers cond-mat/9912051, arXiv.org.
    6. João Gama Oliveira & Albert-László Barabási, 2005. "Darwin and Einstein correspondence patterns," Nature, Nature, vol. 437(7063), pages 1251-1251, October.
    7. Wang, Qing & Guo, Jin-Li, 2010. "Human dynamics scaling characteristics for aerial inbound logistics operation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2127-2133.
    8. D. Brockmann & L. Hufnagel & T. Geisel, 2006. "The scaling laws of human travel," Nature, Nature, vol. 439(7075), pages 462-465, January.
    9. Albert-László Barabási, 2005. "The origin of bursts and heavy tails in human dynamics," Nature, Nature, vol. 435(7039), pages 207-211, May.
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    Cited by:

    1. Chen, Shiyu & Hu, Yong & Mahadevan, Sankaran & Deng, Yong, 2014. "A visibility graph averaging aggregation operator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 1-12.
    2. O’Pella, Justin, 2019. "Horizontal visibility graphs are uniquely determined by their directed degree sequence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    3. Yan, Li & Cao, Huiying & Gao, Chao & Wang, Zhen & Li, Xuelong, 2023. "Mining of book-loan behavior based on coupling relationship analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).

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