The spatial distribution of US cities

In this paper, we consider the distribution of bilateral distances between all pairs of cities to estimate K-densities using the methodology by Duranton and Overman (2005), identifying different spatial patterns. By using data from different definitions of US cities in 2010 (places, urban areas, and core-based statistical areas), we analyse the spatial distribution of cities, finding significant patterns of dispersion depending on the city size and city definition. Our results lend support to a hierarchical system of US cities in which the central cities of each subsystem are far away from each other.