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Utterance selection model of language change.

G J Baxter1, R A Blythe, W Croft

  • 1School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 23, 2006
PubMed
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This study introduces an evolutionary mathematical model for language change, drawing parallels with population genetics. The model reveals that numerous speakers lead to a prolonged two-stage relaxation process before linguistic forms become extinct.

Area of Science:

  • Mathematical modeling
  • Evolutionary linguistics
  • Population genetics

Background:

  • Language change is a complex phenomenon.
  • Existing theories lack a robust mathematical framework.
  • Evolutionary principles offer potential insights.

Purpose of the Study:

  • To develop a mathematical theory of language change.
  • To explore analogies with population genetics.
  • To analyze the dynamics of linguistic form evolution.

Main Methods:

  • Formulation of an evolutionary mathematical model.
  • Utilizing a continuous-time Fokker-Planck equation.
  • Analytical investigation for single and multiple speakers.

Main Results:

Related Experiment Videos

  • The model shows correspondences with the Fisher-Wright model but with key differences.
  • Stationary properties are similar to the single-speaker case.
  • Multiple speakers exhibit richer time-dependent properties, including a two-stage relaxation towards extinction.

Conclusions:

  • The mathematical framework provides a novel approach to understanding language change.
  • Speaker interactions significantly influence linguistic dynamics.
  • Rare fluctuations play a crucial role in the long-term extinction of linguistic forms.