Language is a complex adaptive system: Speakers are agents who interact with each other, and their past and current interactions feed into speakers' future behavior in complex ways. In this article, we describe the social cognitive linguistic basis for this analysis of language and a mathematical model developed in collaboration between…

The basic properties of a dynamic systems approach of development are illustrated by contrasting two simple equations. One equation is characteristic of dynamic systems models. The other refers to what, for the sake of simplicity, is referred to as the standard developmental approach. We give illustrations from cognitive, language and social…

This article discusses issues in measuring lexical diversity, before outlining an approach based on mathematical modelling that produces a measure, D, designed to address these problems. The procedure for obtaining values for D directly from transcripts using software (vocd) is introduced, and then applied to thirty-two children from the Bristol…