Language extinction and linguistic fronts

Language diversity has become greatly endangered in the past centuries owing to processes of language shift from indigenous languages to other languages that are seen as socially and economically more advantageous, resulting in the death or doom of minority languages. In this paper, we define a new language competition model that can describe the historical decline of minority languages in competition with more advantageous languages. We then implement this non-spatial model as an interaction term in a reactiondiffusion system to model the evolution of the two competing languages. We use the results to estimate the speed at which the more advantageous language spreads geographically, resulting in the shrinkage of the area of dominance of the minority language. We compare the results from our model with the observed retreat in the area of influence of the Welsh language in the UK, obtaining a good agreement between the model and the observed data

Com explicar un sistema CLIL: un model dinàmic newtonià

En la implementació del CLIL a l’educació superior, apart d’estudis sobre el nivell de l’estudiantat i la disponibilitat del professorat, i de l’elaboració de material educatiu interdisciplinari, el repte actual és aconseguir que s’involucrin activament en CLIL els professors de contingut d’un ventall ampli de disciplines. En aquesta comunicació es presenten les bases d’un model per un sistema CLIL, utilitzant la dinàmica newtoniana. Pot ser un model interessant i plausible en un context universitari científic i tecnològic, on fins ara el CLIL s’ha implementat només lleugerament.

Front Speed of Language Replacement

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