Natural spatial pattern-When mutual socio-geo distances between cities follow Benford's law.

ABSTRACT: Benford's law states that the first digits of numbers in any natural dataset appear with defined frequencies. Pioneering, we use Benford distribution to analyse the geo-location of cities and their population in the majority of countries. We use distances in three dimensions: 1D between the population values, 2D between the cities, based on geo-coordinates of location, 3D between cities' location and population, which jointly reflects separation and mass of urban locations. We get four main findings. Firstly, we empirically show that mutual 3D socio-geo distances between cities and populations in most countries conform with Benford's law, and thus the urban geo-locations have natural spatial distribution. Secondly, we show empirically that the population of cities within countries follows

SUBMITTER: Kopczewska K 

PROVIDER: S-EPMC9584388 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature