Abstract
The evolution of a stochastic reaction-diffusion model whose dynamics leads to the development of a strongly inhomogeneous, spatiotemporally intermittent density field is analytically and numerically studied. The processes underlying the model can be identified with those that govern urban development. The results for the reaction-diffusion model are thus compared with data obtained from real human demography. Statistical properties of urban distributions---in particular, the universal power law observed in the population frequency of cities---are successfully reproduced by the model.
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