OR and language planning: modelling the interaction between unilingual and bilingual populations

OR methodology is applied to the contemporary concern of modelling language group interaction, with a view to language planning. The change in size of two unilingual language groups, and of a third bilingual population mediating the interaction of these, is modelled using system dynamics. The model is one of highest possible endogeneity, with the minimum of external intervention in modelling runs. The model is applied to the instances of modern Canada excluding Quebec, Quebec, all Canada and Wales, and conclusions drawn regarding the use of the model in determining language planning initiatives.

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

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

[3]  Colin H. Williams The statistical basis for Welsh language planning: data, trends, patterns and processes , 2001 .

[4]  J. Fishman Language maintenance and language shift as a field of inquiry: A definition of the field and suggestions for its further development , 2013 .

[5]  H. I. Freedman,et al.  Convergence to Equilibria in General Models of Unilingual-Bilingual Interactions , 1991 .

[6]  Mark Abley,et al.  Spoken Here: Travels Among Threatened Languages , 2003 .

[7]  Elaine Tarone,et al.  Sociolinguistics: A Brief Introduction , 1971 .

[8]  J. Davies,et al.  The Welsh language , 1993 .

[9]  W. Ritchie,et al.  The handbook of bilingualism , 2005 .

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

[11]  Robbins Burling,et al.  Sociolinguistics: A Brief Introduction , 1971 .

[12]  F. Aboud,et al.  Cultural Factors in Learning and Education. , 1974 .

[13]  W. Lambert Culture and Language as Factors in Learning and Education. , 1973 .

[14]  B. Dangerfield,et al.  Modelling the Epidemiological Consequences of HIV Infection and AIDS: A Contribution from Operational Research , 1990 .

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

[16]  R. L. Cooper Language planning and social change , 1991 .

[17]  P. Deane,et al.  Historical Statistics of Canada. , 1966 .

[18]  W. Lambert,et al.  Bilingual education of children;: The St. Lambert experiment , 1972 .

[19]  John D. Sterman,et al.  System Dynamics: Systems Thinking and Modeling for a Complex World , 2002 .

[20]  J. Davies A History of Wales , 1993 .

[21]  Mario Martelli,et al.  Differential equations models in biology, epidemiology and ecology : proceedings of a Conference held in Claremont California, January 13-16, 1990 , 1991 .

[22]  S. Levin Lectu re Notes in Biomathematics , 1983 .

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