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Influence of geography on language competition

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  • Patriarca, Marco
  • Heinsalu, Els

Abstract

Competition between languages or cultural traits diffusing in the same geographical area is studied combining the model of Abrams and Strogatz with a model of human dispersal on an inhomogeneous substrate. Also, the effect of population growth is discussed. It is shown through numerical simulations that the final configuration of the languages can be strongly affected by geographical and historical factors. These factors are not related to the dynamics of culture transmission, but rather to initial population distributions as well as geographical boundaries and inhomogeneities, which modulate the diffusion process.

Suggested Citation

  • Patriarca, Marco & Heinsalu, Els, 2009. "Influence of geography on language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 174-186.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:2:p:174-186
    DOI: 10.1016/j.physa.2008.09.034
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    References listed on IDEAS

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    1. Schulze, Christian & Stauffer, Dietrich, 2007. "Competition of languages in the presence of a barrier," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 661-664.
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    6. Patriarca, Marco & Leppänen, Teemu, 2004. "Modeling language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 296-299.
    7. Hadzibeganovic, T. & Stauffer, D. & Schulze, C., 2008. "Boundary effects in a three-state modified voter model for languages," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3242-3252.
    8. Adam Lipowski & Dorota Lipowska, 2008. "Bio-Linguistic Transition And Baldwin Effect In An Evolutionary Naming-Game Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 399-407.
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    Cited by:

    1. Michael Boissonneault & Paul Vogt, 2021. "A systematic and interdisciplinary review of mathematical models of language competition," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-12, December.
    2. Caridi, Inés & Nemiña, Francisco & Pinasco, Juan P. & Schiaffino, Pablo, 2013. "Schelling-voter model: An application to language competition," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 216-221.
    3. Nie, Lin-Fei & Teng, Zhi-Dong & Nieto, Juan J. & Jung, Il Hyo, 2015. "State impulsive control strategies for a two-languages competitive model with bilingualism and interlinguistic similarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 136-147.
    4. Clément Zankoc & Els Heinsalu & Marco Patriarca, 2024. "Language dynamics model with finite-range interactions influencing the diffusion of linguistic traits and human dispersal," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(6), pages 1-15, June.
    5. Saavedra, Martín & Mira, Jorge & Muñuzuri, Alberto P. & Seoane, Luís F., 2023. "A spectrum of complexity uncovers Dunbar’s number and other leaps in social structure," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    6. Torsten Templin, 2019. "A language competition model for new minorities," Rationality and Society, , vol. 31(1), pages 40-69, February.
    7. Luís F. Seoane & Xaquín Loredo & Henrique Monteagudo & Jorge Mira, 2019. "Is the coexistence of Catalan and Spanish possible in Catalonia?," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-9, December.
    8. Templin, Torsten & Seidl, Andrea & Wickström, Bengt-Arne & Feichtinger, Gustav, 2016. "Optimal language policy for the preservation of a minority language," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 8-21.
    9. Parshad, Rana D. & Bhowmick, Suman & Chand, Vineeta & Kumari, Nitu & Sinha, Neha, 2016. "What is India speaking? Exploring the “Hinglish” invasion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 375-389.
    10. Zhijun Wu, 2020. "Why multilingual, and how to keep it—An evolutionary dynamics perspective," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-24, November.
    11. Owolabi, Kolade M. & Gómez-Aguilar, J.F., 2018. "Numerical simulations of multilingual competition dynamics with nonlocal derivative," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 175-182.

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