Test of two hypotheses explaining the size of populations in a system of cities
@article{Vitanov2015TestOT,
title={Test of two hypotheses explaining the size of populations in a system of cities},
author={N. Vitanov and M. Ausloos},
journal={Journal of Applied Statistics},
year={2015},
volume={42},
pages={2686 - 2693}
}Two classical hypotheses are examined about the population growth in a system of cities: Hypothesis 1 pertains to Gibrat's and Zipf's theory which states that the city growth–decay process is size independent; Hypothesis 2 pertains to the so-called Yule process which states that the growth of populations in cities happens when (i) the distribution of the city population initial size obeys a log-normal function, (ii) the growth of the settlements follows a stochastic process. The basis for the… CONTINUE READING
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References
SHOWING 1-10 OF 53 REFERENCES
Some Temporal Aspects of the Growth of Cities in the United States
- Economics
- Economic Development and Cultural Change
- 1958
- 11
City Size Distributions and Spatial Economic Change
- Economics, Medicine
- International regional science review
- 1982
- 66
- PDF
Zipf's law for all the natural cities in the United States: a geospatial perspective
- Mathematics, Geography
- Int. J. Geogr. Inf. Sci.
- 2011
- 135
- PDF