Modeling Transient States in Language Change

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Models of language change may include, apart from an initial state and a terminal state, an intermediate transient state T. Building further on they Failed Change Model (Postma 2010) that ties the dynamics of the transient state T to the dynamics of the overall change A → B, we present an generalized algebraic model that includes both the failed change 0 → T → 0 and the successful change A → B. As a preparatory step, we generalize the algebraic function (logist) of two-state change A → B to a differential equation (DE) which represents the law that rules the change. This DE has a bundle of time shifted logistic curves as its solution. This is derives Kroch's Constant Rate Hypothesis. By modifying this DE, it is possible to describe the dynamics of the entire A → T→ B process, i.e. we have a model that includes both the successful and the failed change. The algebraic link between failed change and successful change (the former is the first derivative of the latter) turns out to be an approximation.
Originele taal-2Engels
TitelFrom Micro-change to Macro-change
SubtitelProceedings of DIGS 15
RedacteurenRobert Truswell, Eric Mattieu
UitgeverijOxford University Press
StatusGeaccepteerd/in druk - 2015


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