SCALING AND URBAN GROWTH
Abstract
This paper presents an analysis of the growth of towns in the Tel Aviv metropolis. It indicates a similarity in the variation of populations so that the population functions can be scaled and superposed one onto the other. This is a strong indication that the growth mechanism for all these towns is the same. Two different models are presented to interpret the population growth: one is an analytic model while the other is a computer simulation. In the dynamic analytic model, we introduced the concept of characteristic time. The growth has two parts: in the first, the derivative is an increasing function, the town is very attractive and there is short delay between decision to build and complete realization of the process. At this time, there is no shortage of land. However, around a specific time, the delay begins to increase and there is lack of available land. The rate of the population variation decreases until saturation. The two models give a good quantitative description.
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