Modeling language competition

Patriarca, Marco; Leppänen, Teemu

doi:10.1016/j.physa.2004.02.056

Cited by 122 publications

(134 citation statements)

References 4 publications

Supporting

Mentioning

130

Contrasting

Unclassified

Order By: Relevance

“…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%

Front Speed of Language Replacement

Fort

Pérez-Losada

2012

Human Biology

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Front Speed of Language Replacement

Fort

Pérez-Losada

2012

Human Biology

View full text Add to dashboard Cite

show abstract

“…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%

“…4 In Wickström (2014) it is illustrated that the A-S model and its extension by Minett and Wang (2008) can be reformulated in terms of the general model presented in Wickström (2005). Furthermore the spatial model in Patriarca and Leppänen (2004) can be interpreted as a version of the Wickstr'om framework with two subpopulations I and II, which value language A differently. It is shown that under some general assumptions on the nexus between transition probabilities and the size of the subpopulations stable steady states of the system are the same as derived by Patriarca and Leppänen (2004) in spatial terms.…”

Section: Language Competition Modelsmentioning

confidence: 99%

“…Furthermore the spatial model in Patriarca and Leppänen (2004) can be interpreted as a version of the Wickstr'om framework with two subpopulations I and II, which value language A differently. It is shown that under some general assumptions on the nexus between transition probabilities and the size of the subpopulations stable steady states of the system are the same as derived by Patriarca and Leppänen (2004) in spatial terms. For this paper we build on the general model formulation presented in Wickström (2005) and Wickström (2014).…”

Section: Language Competition Modelsmentioning

confidence: 99%

See 1 more Smart Citation

Optimal language policy for the preservation of a minority language

Templin

Seidl

Wickström

et al. 2016

Mathematical Social Sciences

View full text Add to dashboard Cite

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.

show abstract

“…Their study considers a two-state society, that is, one in which there are speakers of either a language A or a language B. This seminal work, as well as others along the same line [7,8], belongs to the general class of studies of population dynamics based on nonlinear ordinary differential equations for the populations of speakers of different languages. In addition, other studies implement discrete agent based models with speakers of many [9,10] or few languages [11,12], as reviewed in [9,13].…”

Section: Introductionmentioning

confidence: 99%

The Fate of Bilingualism in a Model of Language Competition

Castelló

Loureiro‐Porto

Eguı́luz

et al.

Advancing Social Simulation: The First World Congress

View full text Add to dashboard Cite

In the general context of dynamics of social consensus, we study an agent based model for the competition between two socially equivalent languages, addressing the role of bilingualism and social structure. In a regular network, we study the formation of linguistic domains and their interaction across the boundaries. We analyse also a small world social structure, in order to capture the effect of long range social interactions. In both cases, a final scenario of dominance of one language and extinction of the other is obtained, but with smaller times for extinction in the latter case. In addition, we compare our results to our previous work on the agent based version of Abrams-Strogatz model.

show abstract

Modeling language competition

Cited by 122 publications

References 4 publications

Front Speed of Language Replacement

Front Speed of Language Replacement

Optimal language policy for the preservation of a minority language

The Fate of Bilingualism in a Model of Language Competition

Contact Info

Product

Resources

About