On the Rank-Size Distribution for Human Settlements

@article{Reed2002OnTR,
  title={On the Rank-Size Distribution for Human Settlements},
  author={William J. Reed},
  journal={Environmental Economics},
  year={2002}
}
  • W. Reed
  • Published 1 February 2002
  • Environmental Science
  • Environmental Economics
An explanation for the rank-size distribution for human settlements based on simple stochastic models of settlement formation and growth is presented. Not only does the analysis of the model explain the rank-size phenomenon in the upper tail, it also predicts a reverse rank-size phenomenon in the lower tail. Furthermore it yields a parametric form (the double Pareto-lognormal distribution) for the complete distribution of settlement sizes. Settlement-size data for four regions (two in Spain and… 
Zipf's Law for Cities and the Double-Pareto-Lognormal Distribution
This dissertation concentrates on the size distribution of cities. From an empirical perspective, it is shown that Zipf's law for cities holds for the upper tail of the distribution and that the
A new framework for the US city size distribution: Empirical evidence and theory
We study the US city size distribution using the Census places data, without size restriction, for the period (1900-2010). Also, we use the recently introduced US City Clustering Algorithm (CCA) data
The French Overall City Size Distribution
We analyze the overall size distribution across all French settlements in the year 2008. The sizes of the largest French cities follow the famous Zipf's law fairly closely, with Paris being a notable
Is there a universal parametric city size distribution? Empirical evidence for 70 countries
We studied the parametric description of the city size distribution (CSD) of 70 different countries (developed and developing) using seven models, as follows: the lognormal (LN), the loglogistic
Size Distributions for All Cities: Lognormal and q-exponential functions
This paper analyses in detail the features offered by a function which is practically new to Urban Economics, the q-exponential, in describing city size distributions. We highlight two contributions.
On the parametric description of US city size distribution: New empirical evidence
We study US city size distribution using places data from the Census, without size restrictions, for the period 1900-2010, and the recently constructed US City Clustering Algorithm (CCA) data for
...
...

References

SHOWING 1-10 OF 17 REFERENCES
Rank-Size Distribution and the Process of Urban Growth
From data on French cities' population covering almost two centuries, the viability of rank-size parameters for describing the evolution of city size distributions is tested. We first demonstrate the
The Return of Zipf: Towards a Further Understanding of the Rank‐Size Distribution
We offer a general-equilibrium economic approach to Zipf's Law or, more generally, the rank-size distribution—the striking empirical regularity concerning the size distribution of cities. We provide
The Size Distribution of Cities: An Examination of the Pareto Law and Primacy
The Pareto law of incomes—an explanation and an extension
On the Size Distribution of Cities: An Economic Interpretation of the Pareto Coefficient
  • S. Suh
  • Economics
    Environment & planning A
  • 1987
TLDR
Both the hierarchy and the stochastic models of size distribution of cities are analyzed and it is found that the rate of variation in the productivity of cities and in the probability of emergence of cities can explain the Pareto coefficient.
Zipf's Law for Cities: An Explanation
Zipf ’s law is a very tight constraint on the class of admissible models of local growth. It says that for most countries the size distribution of cities strikingly fits a power law: the number of
A Model of Income Distribution
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and
Agglomeration and Central Place Theory: A Review of the Literature
This paper reviews and evaluates the analytical literature on the interdependencies of agglomeration and central place theory. It is emphasized that economic agents (firms, households) tend to
ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS
It is the purpose of this paper to analyse a class of distribution functions that appears in a wide range of empirical data-particularly data describing sociological, biological and economic
Random Processes and the Growth of Firms. A Study of the Pareto Law.
...
...