“…In explaining the emergence of an urban area, mathematical urban modelling largely employs a linear or logistic regression (Aspinall, 2004;Mertens and Lambin, 2000), Markov-chain change probability (Petit and Lambin, 2002), or a gravity model (Kong et al, 2010;Lowry, 1965). In this type of modelling, the relationship that links the factors and the possibility of urban changes becomes more explicit compared to the early descriptive urban models, rendering the explanatory power and predictive capability better than the early urban models (Machemer et al, 2006). The parameters in a linear equation, for example, represent the weight that measures the contribution scale of a factor on urban growth.…”