An empirical examination of two-population interaction in urban growth: Tamil Nadu (1901-2011)

Abstract

The urban-rural nonlinear interaction models help us to understand more about the urban system by chaos theory and meanwhile realize more the nature of chaos by urban growth. The structure of rural – urban interaction of population is empirically studied through Tamil Nadu state rural –urban population for the census year 1901 to 2011 using the logistic model derived from the urban-rural interaction models. This suggests that the logistic equation is a statistical change from the nonlinear interaction models to the simple linear equations. This put forwards the complicated dynamics of logistic growth come from some kind of the nonlinear interaction. The outcome from this study helps to understand urbanization, rural-urban population interaction, chaotic dynamics and spatial complexity of geographical systems.