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Modeling language evolution: Aromanian, an endangered language in Greece

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  • Bakalis, Evangelos
  • Galani, Alexandra

Abstract

Time evolution of the relative density of speakers of an endangered language, Aromanian, which is spoken by a bilingual community in North-Western Greece, is approached theoretically by means of a two-state model and a three-state model. The same prestige and volatility parameters are used in these two models. Furthermore, a culture parameter and a second exponent are introduced in the three-state model. The parameters of each model are fitted to the current status of Aromanian, on the basis of field evidence collected by us, and the first findings about the risk of the language’s extinction are presented.

Suggested Citation

  • Bakalis, Evangelos & Galani, Alexandra, 2012. "Modeling language evolution: Aromanian, an endangered language in Greece," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4963-4969.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4963-4969
    DOI: 10.1016/j.physa.2012.05.033
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    References listed on IDEAS

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    1. William J. Sutherland, 2003. "Parallel extinction risk and global distribution of languages and species," Nature, Nature, vol. 423(6937), pages 276-279, May.
    2. Martin A. Nowak & Natalia L. Komarova & Partha Niyogi, 2002. "Computational and evolutionary aspects of language," Nature, Nature, vol. 417(6889), pages 611-617, June.
    3. Kosmidis, Kosmas & Halley, John M. & Argyrakis, Panos, 2005. "Language evolution and population dynamics in a system of two interacting species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 595-612.
    4. Stauffer, Dietrich & Castelló, Xavier & Eguíluz, Víctor M. & San Miguel, Maxi, 2007. "Microscopic Abrams–Strogatz model of language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 835-842.
    5. Daniel M. Abrams & Steven H. Strogatz, 2003. "Modelling the dynamics of language death," Nature, Nature, vol. 424(6951), pages 900-900, August.
    6. Patriarca, Marco & Leppänen, Teemu, 2004. "Modeling language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 296-299.
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    Cited by:

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