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Reseach Article

A New Probabilistic Model of Language Competition, Endangerment and Extinction

by Pritam Deka, Smriti Kumar Sinha
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 142 - Number 12
Year of Publication: 2016
Authors: Pritam Deka, Smriti Kumar Sinha
10.5120/ijca2016909958

Pritam Deka, Smriti Kumar Sinha . A New Probabilistic Model of Language Competition, Endangerment and Extinction. International Journal of Computer Applications. 142, 12 ( May 2016), 1-6. DOI=10.5120/ijca2016909958

@article{ 10.5120/ijca2016909958,
author = { Pritam Deka, Smriti Kumar Sinha },
title = { A New Probabilistic Model of Language Competition, Endangerment and Extinction },
journal = { International Journal of Computer Applications },
issue_date = { May 2016 },
volume = { 142 },
number = { 12 },
month = { May },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume142/number12/24945-2016909958/ },
doi = { 10.5120/ijca2016909958 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:44:46.890425+05:30
%A Pritam Deka
%A Smriti Kumar Sinha
%T A New Probabilistic Model of Language Competition, Endangerment and Extinction
%J International Journal of Computer Applications
%@ 0975-8887
%V 142
%N 12
%P 1-6
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Language endangerment is a growing concern in the world today. The speakers of the less dominant language in the society tends to get more inclined towards the more dominant language because of many reasons. Due to this, the speakers of the less dominant language decreases, eventually leading to the extinction of that languages. In this paper, a probabilistic mathematical model has been proposed to check language shift for the intergenerational language transmission between parents and their offspring based on some factors that has been taken. A Markov chain model is also defined to show the change in language transmission for grandparent and grandchild.

References
  1. https://www.crystalinks.com/languages.html.
  2. https://www.ethnologue.com.
  3. http://www.languagedevelopment.tripod.com/id2.html.
  4. Daniel M Abrams and Steven H Strogatz. Linguistics: Modelling the dynamics of language death. Nature, 424(6951):900–900, 2003.
  5. Chrisantha Fernando, Riitta-Liisa Valij¨arvi, and Richard A Goldstein. A model of the mechanisms of language extinction and revitalization strategies to save endangered languages. Human biology, 82(1):47–75, 2010.
  6. John G Kemeny and J Laurie Snell. Markov chains.
  7. Xiang Li and Guanrong Chen. A local-world evolving network model. Physica A: Statistical Mechanics and its Applications, 328(1):274–286, 2003.
  8. James W Minett and William SY Wang. Modelling endangered languages: The effects of bilingualism and social structure. Lingua, 118(1):19–45, 2008.
  9. Marco Patriarca, Xavier Castell´o, JR Uriarte, V´ictor M Egu´iluz, and Maxi San Miguel. Modeling two-language competition dynamics. Advances in Complex Systems, 15(03n04):1250048, 2012.
  10. Bengt-ArneWickstrom. Can bilingualism be dynamically stable? a simple model of language choice. Rationality and Society, 17(1):81–115, 2005.
Index Terms

Computer Science
Information Sciences

Keywords

Language endangerment Probability Markov chain Language shift Absorbing state Equilibrium vector Transition matrix