Influence of geography on language competition

Patriarca, Marco; Heinsalu, Els

doi:10.1016/j.physa.2008.09.034

Cited by 74 publications

(72 citation statements)

References 26 publications

(52 reference statements)

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“…(iv) In order to take into account population dispersal in space (as done in Refs. [8][9][10] and below), it is much simpler to use population densities rather than population fractions (this will become obvious from the equations we introduce below), and this is why we use population densities (rather than fractions) throughout this paper.…”

Section: A Abrams-strogatz (As) Modelmentioning

confidence: 99%

“…The present paper aims to present such a model. In fact, very interesting quantitative models on language interaction do exist [7][8][9][10][11], but they do not seem to deal with the problem of explaining the geographical spread rate of the expanding language. In contrast, the model in the present paper makes it possible to quantify the e¤ect of di¤erent processes and parameters on the speed of language replacement.…”

Section: Introductionmentioning

confidence: 99%

“…But languages also display changes in space, which were not considered by the original AS model [7]. Patriarca and co-workers took into account the e¤ect of space (by adding di¤usion terms to the Abrams-Strogatz model) and analyzed the e¤ect of initial conditions, population growth and geographical barriers on the dynamics of two initially segregated languages [8,9]. More general models have been also considered (see Refs.…”

mentioning

confidence: 99%

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Front Speed of Language Replacement

Fort

Pérez-Losada

2012

Human Biology

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We use two coupled equations to analyze the space-time dynamics of two interacting languages.Firstly, we introduce a cohabitation model, which is more appropriate for human populations than classical (non-cohabitation) models. Secondly, using numerical simulations we …nd the front speed of a new language spreading into a region where another language was previously used. Thirdly, for a special case we derive an analytical formula that makes it possible to check the validity of our numerical simulations. Finally, as an example, we …nd that the observed front speed for the spread of the English language into Wales in the period 1961-1981 is consistent with the model predictions. We also …nd that the e¤ects of linguistic parameters are much more important than those of parameters related to population dispersal and reproduction. If the initial population densities of both languages are similar, they have no e¤ect on the front speed. We outline the potential of the new model to analyze relationships between language replacement and genetic replacement.

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Section: A Abrams-strogatz (As) Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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Front Speed of Language Replacement

Fort

Pérez-Losada

2012

Human Biology

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“…Due to such limitations, the model was revised and extended by many authors, especially from the field of (statistical) physics. Patriarca and Leppänen (2004) and Patriarca and Heinsalu (2009) include spatial components in their adoptions of the AS model. Taking geographical inhomogeneities into account they were able to show that it is possible that both languages survive in two different geographical regions.…”

Section: Language Competition Modelsmentioning

confidence: 99%

Optimal language policy for the preservation of a minority language

Templin

Seidl

Wickström

et al. 2016

Mathematical Social Sciences

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h i g h l i g h t s• A dynamic control model for the competition between two languages is developed.• Family formation and intergenerational language transmission are modeled explicitly.• Investments into status planning can be used to support the minority language.• If bilingualism is valued high enough, survival of both languages can be optimal.• Optimal steady states depend on initial distribution of speakers. a b s t r a c tWe develop a dynamic language competition model with dynamic state intervention. Parents choose the language(s) to raise their children based on the communicational value of each language as well as on their emotional attachment to the languages at hand. Languages are thus conceptualized as tools for communication as well as carriers of cultural identity. The model includes a high and a low status language, and children can be brought up as monolinguals or bilinguals. Through investment into language policies, the status of the minority language can be increased. The aim of the intervention is to preserve the minority language in a bilingual subpopulation at low costs. We investigate the dynamic structure of the optimally controlled system as well as the optimal policy, identify stable equilibria and provide numerical case studies.

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“…10, 12, and 16), as well as of the demography of speaker populations (e.g., refs. [17][18][19] for the shift dynamic. The behavior of these models is in part controlled by a "status" variable, summarizing the socioeconomic opportunities a language affords to its speakers.…”

mentioning

confidence: 99%