IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v391y2012i20p4963-4969.html
   My bibliography  Save this article

Modeling language evolution: Aromanian, an endangered language in Greece

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112004049
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2012.05.033?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Daniel M. Abrams & Steven H. Strogatz, 2003. "Modelling the dynamics of language death," Nature, Nature, vol. 424(6951), pages 900-900, August.
    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. Patriarca, Marco & Leppänen, Teemu, 2004. "Modeling language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 296-299.
    6. William J. Sutherland, 2003. "Parallel extinction risk and global distribution of languages and species," Nature, Nature, vol. 423(6937), pages 276-279, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. Nagore Iriberri & José-Ramón Uriarte, 2012. "Minority language and the stability of bilingual equilibria," Rationality and Society, , vol. 24(4), pages 442-462, November.
    5. 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.
    6. An, Zhecheng & Pan, Qiuhui & Yu, Guangying & Wang, Zhen, 2012. "The spatial distribution of clusters and the formation of mixed languages in bilingual competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4943-4952.
    7. Torsten Templin, 2019. "A language competition model for new minorities," Rationality and Society, , vol. 31(1), pages 40-69, February.
    8. Peralta, Antonio F. & Khalil, Nagi & Toral, Raúl, 2020. "Ordering dynamics in the voter model with aging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 552(C).
    9. 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.
    10. repec:hal:spmain:info:hdl:2441/f4rshpf3v1umfa09l8sao0qa3 is not listed on IDEAS
    11. 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.
    12. Juan Carlos Bárcena‐Ruiz & Máximo Sedano, 2011. "Endogenous Timing In A Mixed Duopoly: Weighted Welfare And Price Competition," The Japanese Economic Review, Japanese Economic Association, vol. 62(4), pages 485-503, December.
    13. Iriberri Etxebeste, Nagore & Uriarte Ayo, José Ramón, 2011. "Minority Language and the Stability of Bilingual Equilibria," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    14. Sylvain Barde, 2012. "Of ants and voters: maximum entropy prediction and agent based models with recruitment," Post-Print hal-01071853, HAL.
    15. 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.
    16. Rodriguez, E. & Aguilar-Cornejo, M. & Femat, R. & Alvarez-Ramirez, J., 2014. "Scale and time dependence of serial correlations in word-length time series of written texts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 378-386.
    17. 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.
    18. repec:spo:wpmain:info:hdl:2441/f4rshpf3v1umfa09l8sao0qa3 is not listed on IDEAS
    19. Heather Williams & Andrew Scharf & Anna R. Ryba & D. Ryan Norris & Daniel J. Mennill & Amy E. M. Newman & Stéphanie M. Doucet & Julie C. Blackwood, 2022. "Cumulative cultural evolution and mechanisms for cultural selection in wild bird songs," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    20. Safarzynska, Karolina & van den Bergh, Jeroen C.J.M., 2011. "Beyond replicator dynamics: Innovation-selection dynamics and optimal diversity," Journal of Economic Behavior & Organization, Elsevier, vol. 78(3), pages 229-245, May.
    21. Ayan Sengupta & Soham Das & Md. Shad Akhtar & Tanmoy Chakraborty, 2024. "Social, economic, and demographic factors drive the emergence of Hinglish code-mixing on social media," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-12, December.
    22. Michael J Weir & Catherine M Ashcraft & Natallia Leuchanka Diessner & Bridie McGreavy & Emily Vogler & Todd Guilfoos, 2020. "Language effects on bargaining," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-20, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4963-4969. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.