Sc. Manrubia et Dh. Zanette, INTERMITTENCY MODEL FOR URBAN-DEVELOPMENT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 295-302
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. T
he processes underlying the model can be identified with those that go
vern urban development. The results for the reaction-diffusion model a
re thus compared with data obtained from real human demography. Statis
tical properties of urban distributions-in particular, the universal p
ower law observed in the population frequency of cities-are successful
ly reproduced by the model.