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Herding tendency as an aggregating factor in a binary mixture of social entities

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  • Juanico, Dranreb Earl O.

Abstract

The role of herding tendency in the group formation of social entities is hereby explored. The herding tendency is quantified by a parameter α∈[0,1]. The system consists of a mixture of two types of entities: (i) those with α>0 and (ii) those with α=0. The latter consist a fraction p of the entire population. The dynamics of agent interactions leads to the formation of clusters of different sizes. The size distribution D(s) of these clusters are found to obey a power-law only in the limit that α→1 and p→0. Group-size data of several real-world animal systems are fitted with curves generated by the model. This study contributes further to the understanding of group-forming behavior commonly cited in ecological studies.

Suggested Citation

  • Juanico, Dranreb Earl O., 2009. "Herding tendency as an aggregating factor in a binary mixture of social entities," Ecological Modelling, Elsevier, vol. 220(24), pages 3521-3526.
    • Handle: RePEc:eee:ecomod:v:220:y:2009:i:24:p:3521-3526
    DOI: 10.1016/j.ecolmodel.2009.06.030
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    References listed on IDEAS

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    1. Juanico, Dranreb Earl & Monterola, Christopher & Saloma, Caesar, 2003. "Allelomimesis as a generic clustering mechanism for interacting agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 590-600.
    2. Steven H. Strogatz & Daniel M. Abrams & Allan McRobie & Bruno Eckhardt & Edward Ott, 2005. "Crowd synchrony on the Millennium Bridge," Nature, Nature, vol. 438(7064), pages 43-44, November.
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