IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v516y2019icp447-463.html
   My bibliography  Save this article

An application of an analogue of the partition function to the evolution of diglossia

Author

Listed:
  • Wyburn, John
  • Hayward, John

Abstract

Recent trends in the numbers of minority language speakers have given cause for concern as to the effectiveness of traditional language-acquisition and survival strategies. This paper addresses the establishment of a recognized survival scenario, that of diglossia, the allocation of different languages to complementary social domains. The method is the novel application of an analogue of the partition function of statistical mechanics, embodied in a cellular automaton, to a population of subsets of social domains in which either of two languages may be spoken. The case of modern Wales is discussed in detail. Conclusions are drawn regarding the role of diglossia in the preservation of endangered languages.

Suggested Citation

  • Wyburn, John & Hayward, John, 2019. "An application of an analogue of the partition function to the evolution of diglossia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 447-463.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:447-463
    DOI: 10.1016/j.physa.2018.10.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118313955
    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.2018.10.047?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. Amy Perfors, 2002. "Simulated Evolution of Language: a Review of the Field," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(2), pages 1-4.
    2. Daniel M. Abrams & Steven H. Strogatz, 2003. "Modelling the dynamics of language death," Nature, Nature, vol. 424(6951), pages 900-900, August.
    3. Francesc S. Beltran & Salvador Herrando & Doris Ferreres & Marc-Antoni Adell & Violant Estreder & Marcos Ruiz-Soler, 2009. "Forecasting a Language Shift Based on Cellular Automata," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(3), pages 1-5.
    4. 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.
    5. 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.
    6. J Wyburn & J Hayward, 2009. "OR and language planning: modelling the interaction between unilingual and bilingual populations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(5), pages 626-636, May.
    7. Luis R. Izquierdo & Segismundo S. Izquierdo & José Manuel Galán & José Ignacio Santos, 2009. "Techniques to Understand Computer Simulations: Markov Chain Analysis," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-6.
    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. 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.

    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. 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.
    2. 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.
    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. 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.
    5. Andrew W. Bausch, 2014. "Evolving intergroup cooperation," Computational and Mathematical Organization Theory, Springer, vol. 20(4), pages 369-393, December.
    6. 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.
    7. 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.
    8. Di Guilmi, Corrado & Carvalho, Laura, 2017. "The dynamics of leverage in a demand-driven model with heterogeneous firms," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 70-90.
    9. Vicky Chuqiao Yang & Tamara van der Does & Henrik Olsson, 2021. "Falling through the cracks: Modeling the formation of social category boundaries," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-11, March.
    10. 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).
    11. Grazzini, Jakob & Richiardi, Matteo, 2015. "Estimation of ergodic agent-based models by simulated minimum distance," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 148-165.
    12. Eminente, Clara & Artime, Oriol & De Domenico, Manlio, 2022. "Interplay between exogenous triggers and endogenous behavioral changes in contagion processes on social networks," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    13. Jakob Grazzini & Matteo G. Richiardi, 2013. "Consistent Estimation of Agent-Based Models by Simulated Minimum Distance," LABORatorio R. Revelli Working Papers Series 130, LABORatorio R. Revelli, Centre for Employment Studies.
    14. 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.
    15. Edoardo Gaffeo & Mauro Gallegati & Umberto Gostoli, 2015. "An agent-based “proof of principle” for Walrasian macroeconomic theory," Computational and Mathematical Organization Theory, Springer, vol. 21(2), pages 150-183, June.
    16. Lucila G Alvarez-Zuzek & Cristian E La Rocca & Federico Vazquez & Lidia A Braunstein, 2016. "Interacting Social Processes on Interconnected Networks," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-17, September.
    17. Alcalde-Unzu, Jorge & Moreno-Ternero, Juan D. & Weber, Shlomo, 2022. "The measurement of the value of a language," Journal of Economic Theory, Elsevier, vol. 203(C).
    18. 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.
    19. repec:hal:spmain:info:hdl:2441/f4rshpf3v1umfa09l8sao0qa3 is not listed on IDEAS
    20. Pierpaolo Andriani & Bill McKelvey, 2009. "Perspective ---From Gaussian to Paretian Thinking: Causes and Implications of Power Laws in Organizations," Organization Science, INFORMS, vol. 20(6), pages 1053-1071, December.
    21. Catalano, Michele & Di Guilmi, Corrado, 2019. "Uncertainty, rationality and complexity in a multi-sectoral dynamic model: The dynamic stochastic generalized aggregation approach," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 117-144.

    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:516:y:2019:i:c:p:447-463. 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.