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A heuristic model for the scaling linguistic diversity-area

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  • Santos, M.R.F.
  • Gomes, M.A.F.

Abstract

Here is introduced a simple heuristic model which emerges from a type of variational framework aimed to solve the problem of the relation between linguistic diversity and area from a maximization procedure. We show that this model reproduces the robust scaling law for linguistic diversity versus area observed today on Earth for the largest 147 countries with area superior to 18,000 km2.

Suggested Citation

  • Santos, M.R.F. & Gomes, M.A.F., 2020. "A heuristic model for the scaling linguistic diversity-area," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    • Handle: RePEc:eee:phsmap:v:555:y:2020:i:c:s0378437120303034
    DOI: 10.1016/j.physa.2020.124622
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    References listed on IDEAS

    as
    1. Santos, M.R.F. & Gomes, M.A.F., 2019. "Revisiting scaling relations for linguistic diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
    2. de Oliveira, Viviane M. & Campos, Paulo R.A. & Gomes, M.A.F. & Tsang, I.R., 2006. "Bounded fitness landscapes and the evolution of the linguistic diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 257-261.
    3. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
    4. Pastor-Satorras, R & Wagensberg, J, 1998. "The maximum entropy principle and the nature of fractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 251(3), pages 291-302.
    5. Xia Hua & Simon J. Greenhill & Marcel Cardillo & Hilde Schneemann & Lindell Bromham, 2019. "The ecological drivers of variation in global language diversity," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
    6. Chen, Yanguang, 2012. "The rank-size scaling law and entropy-maximizing principle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 767-778.
    7. Gomes, M.A.F & Vasconcelos, G.L & Tsang, I.J & Tsang, I.R, 1999. "Scaling relations for diversity of languages," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(3), pages 489-495.
    8. de Oliveira, Viviane M. & Gomes, M.A.F. & Tsang, I.R., 2006. "Theoretical model for the evolution of the linguistic diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 361-370.
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