Demography and Language Competition

Abstract Attempts to describe language competition and extinction in a mathematical way have enjoyed increased popularity recently. In this paper I review recent modeling approaches and, based on these findings, propose a model of reaction-diffusion type. I analyze the dynamics of interactions of a population with two monolingual groups and a group that is bilingual in these two languages. The results show that demographic factors, such as population growth or population dispersal, play an important role in the competition dynamic. Furthermore, I consider the impact of two strategies for language maintenance: adjusting the status of the endangered language and adjusting the availability of monolingual and bilingual educational resources.

[1]  William S-Y. Wang,et al.  Modelling endangered languages: The effects of bilingualism and social structure , 2008 .

[2]  J. Diamond,et al.  Farmers and Their Languages: The First Expansions , 2003, Science.

[3]  S. Strogatz,et al.  Linguistics: Modelling the dynamics of language death , 2003, Nature.

[4]  角田 太作.  Language endangerment and language revitalization , 2005 .

[5]  Maxi San Miguel,et al.  The Fate of Bilingualism in a Model of Language Competition , 2007, WCSS.

[6]  Dietrich Stauffer,et al.  Microscopic and macroscopic simulation of competition between languages , 2005 .

[7]  D. Nettle.  Is the rate of linguistic change constant , 1999 .

[8]  Teemu Leppänen,et al.  Modeling language competition , 2004 .

[9]  Lenore A. Grenoble,et al.  Saving Languages: An Introduction to Language Revitalization , 2005 .

[10]  Tasaku Tsunoda,et al.  Language Endangerment and Language Revitalization: An Introduction , 2006 .

[11]  S. Fedotov,et al.  Front propagation into an unstable state of reaction-transport systems. , 2001, Physical review letters.

[12]  Toni Pujol,et al.  Dispersal probability distributions and the wave-front speed problem. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Y. Ihara,et al.  Spread of costly prestige-seeking behavior by social learning. , 2008, Theoretical population biology.

[14]  Joshua A. Fishman,et al.  Can Threatened Languages Be Saved? Reversing Language Shift, Revisited: A 21st Century Perspective. Multilingual Matters 116. , 2001 .

[15]  H. I. Freedman.  Deterministic mathematical models in population ecology , 1982 .

[16]  Robert Costanza,et al.  Investing in natural capital: the ecological economics approach to sustainability. , 1994 .

[17]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[18]  J. W. Minett,et al.  The invasion of language: emergence, change and death. , 2005, Trends in ecology & evolution.

[19]  Robert Asher,et al.  The Encyclopedia of Language and Linguistics , 1995 .

[20]  C. Myers-Scotton.  Multiple Voices: An Introduction to Bilingualism , 2005 .

[21]  F. Coulmas,et al.  社会语言学通览 = The Handbook of sociolinguistics , 2001 .

[22]  Gina Cantoni-Harvey.  Stabilizing indigenous languages , 1996 .

[23]  H. I. Freedman,et al.  Can the speakers of a dominated language survive as unilinguals?: A mathematical model of bilingualism , 1993 .

[24]  J. Mira,et al.  Interlinguistic similarity and language death dynamics , 2005 .

[25]  Maxi San Miguel,et al.  Microscopic Abrams-Strogatz model of language competition , 2006, physics/0603042.

[26]  C. Renfrew,et al.  Examining the Farming/Language Dispersal Hypothesis , 2003 .

[27]  J. Crawford.  Seven Hypotheses on Language Loss Causes and Cures. , 1996 .

[28]  Ing Ren Tsang,et al.  Theoretical model for the evolution of the linguistic diversity , 2005, physics/0505197.

[29]  Suzanne Romaine,et al.  Vanishing Voices: The Extinction of the World's Languages , 2000 .

[30]  H. M. El-Owaidy,et al.  A mathematical model of bilingualism , 2002, Appl. Math. Comput..

[31]  D. Crystal.  What is language death , 2002 .

[32]  James Steele,et al.  Ecological Models of Language Competition , 2008 .

[33]  Juan Pablo Pinasco,et al.  Coexistence of Languages is possible , 2006 .

[34]  H. I. Freedman,et al.  A mathematical model for the dynamics of interactions between a unilingual and a bilingual population: Persistence versus extinction , 1990 .

[35]  S. Mufwene.  Colonisation , Globalisation , and the Future of Languages in the Twenty-first Century , 2002 .

[36]  Thadeu J.P. Penna,et al.  A bit-string model for biological aging , 1995, cond-mat/9503099.

[37]  D. Stauffer,et al.  Birth, survival and death of languages by Monte Carlo simulation , 2007 .

[38]  Juliette Rouchier,et al.  Advancing Social Simulation: The First World Congressi [Post-Conference Proceedings of the World Congress on Social Simulation, WCSS 2006, Kyoto, Japan, August 21-25, 2006] , 2011, WCSS.

[39]  Christian Schulze,et al.  Monte Carlo Simulation of survival for Minority Languages , 2006, Adv. Complex Syst..

[40]  John Wyburn,et al.  The Future of Bilingualism: An Application of the Baggs and Freedman Model , 2008 .

[41]  Marco Patriarca,et al.  Influence of geography on language competition , 2008, 0807.3100.

[42]  Kevin Stratford,et al.  From the Cover : Cultural hitchhiking on the wave of advance of beneficial technologies , 2007 .

[43]  James D. Murray.  Mathematical Biology: I. An Introduction , 2007 .

[44]  Greece,et al.  Language evolution and population dynamics in a system of two interacting species , 2005, cond-mat/0502118.

[45]  John Hayward,et al.  OR and language planning: modelling the interaction between unilingual and bilingual populations , 2009, J. Oper. Res. Soc..

[46]  H. Giles.  Towards a theory of language in ethnic group relations , 1977 .

[47]  Colin Renfrew,et al.  Archaeology and language , 1987 .