Mathematical models and language shift

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Johannes Kabatek
Universidade de Tubinga
Germany
Vol 4 (2012), Pescuda
Submitted: 14-09-2012 Accepted: 14-09-2012
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Abstract

This paper presents a critical review of several recent studies that aim to model language contact, language shift and language death mathematically. We will present the models proposed by Abrams & Strogatz 2003, Mira & Paredes 2005, Mira, Seoane & Nieto 2011, Minett & Wang 2007 and Castelló (2010), as well as Castelló et al. (2012). These papers refer to different contact situations, including Galician-Spanish language contact. The different models and corresponding algorithms will be described and critiqued, distinguishing several degrees of sophistication and adequacy. The study identifies a series of shortcomings, particularly in Abrams & Strogatz’ and Mira & Paredes’ papers: data problems, argumentative and logical errors, and also inadequate simplifications. Nevertheless, it will be argued that the more sophisticated models in particular should continue to be developed, and a “heuristic spiral” between model developers and sociolinguists ought to be pursued, in order to achieve better models and greater insight into the mechanisms involved in language change and language shift.

Keywords:

Sociolinguistics, Epistemology, Language contact, Mathematical models of language contact, Language shift, Galician- Spanish language contact

Article Details

References

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