We review the accumulated knowledge on city size distributions and determinants of urban growth. This topic is of interest because of a number of key stylized facts, including notably Zipf’s law for cities (which states that the number of cities of size greater than S is proportional to 1/S

Power laws, discontinuities and regional city size distributions

The size distribution of cities in many countries follows some broadly regular patterns. Any good theory of city size distributions should (i) be able to account for this regularity, but also (ii) rely on a plausible economic mechanism and (iii) be consistent with other fundamental features

Zipf’s law is one of the most well-known empirical regularities of the city-size distribution and explaining it has long been the Holy Grail of urban economics. There is extensive research on the subject, where each city is treated equally in terms of transactions with other cities. Recent

Summary. Complex systems, such as urban systems, emerge unpredictably without the influence of central control as a result of adaptive behaviour by their component, interacting agents. This paper analyses city size distributions, by decade, from the south-western region of the United States

Summary. Cities are complex, self-organising, evolving systems and the emergent patterns they manifest provide insight into the dynamic processes in urban systems. This article analyses city size distributions, by decade, from the south-eastern region of the US for the years 1860

We study the distribution of sizes in the Israeli system of cities, using a rank-size representation of population distributions from 1950 to 2005. Based on a multiplicative model of proportionate growth, we develop a quantitative comparison relating the change in the rank-size curves to the change

years, city size distributions have been assumed to universally follow a power function, and many theories have been put forth to explain what has become known as Zipf’s law (the instance where the exponent of the power function equals unity). Most previous studies, however, only include the largest

(proof corrections; variables not italicized) Globalization, world-system, and historical dynamic theory offer complementary perspectives for the study of city systems as the politico-economic engine of interstate networks. Here we combine these perspectives to examine a dynamical perspective

Zipf’s law is one the most conspicuous empirical facts for cities, however, there is no convincing explanation for the scaling relation between rank and size and its scaling exponent. Using the idea from general fractals and scaling, I propose a dual competition hypothesis of city development