Abstract
This article reviews some statistical models on the distribution and migration rules of population which appeared in the representative literatures. Topics delt with here are as follows: (1) the lognormal or truncated lognormal distributions of the city population which are derived from the central limit theorem and some other bases, (2) several explanatory and modified models on the rank-size rule existing between the rank of a city in population and its population, (3) the gravity models on migration with rationales in terms of probability and information theories including the concept of entropy, and (4) the Markov chain models as a stochastic process on the population mobility. Brief discussions on the Colin Clark's law of urban population density, the opportunity models of migration and the rule of the shortest distance between cities are also included.
