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Kinship networks in shrinking and growing populations

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  • Martínez Alcalá, Samuel
  • Zanette, Damián H.

Abstract

We study the structural properties of a class of model social networks representing blood sibling and sibling-in-law relationships, in the case where the size of the married population varies between successive generations. These kinship networks are characterized by Poissonian degree distributions and the presence of a connected component encompassing a large part of the population, along with high values of clustering and assortativity. By means of numerical simulations and comparison with Erdős–Rényi networks of the same size and connectivity, we show that global clustering and assortativity remain high unless the size of the married population drops drastically. In contrast, the largest connected component collapses when the married population shrinks to just about two thirds of its size in the previous generation.

Suggested Citation

  • Martínez Alcalá, Samuel & Zanette, Damián H., 2022. "Kinship networks in shrinking and growing populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    • Handle: RePEc:eee:phsmap:v:588:y:2022:i:c:s037843712100827x
    DOI: 10.1016/j.physa.2021.126554
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    References listed on IDEAS

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    3. Dunning,Thad, 2012. "Natural Experiments in the Social Sciences," Cambridge Books, Cambridge University Press, number 9781107698000, November.
    4. Pfau, Jens & Kirley, Michael & Kashima, Yoshihisa, 2013. "The co-evolution of cultures, social network communities, and agent locations in an extension of Axelrod’s model of cultural dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(2), pages 381-391.
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