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The Mathematics of Urban MorphologyDistribution of City Size: Gibrat, Pareto, Zipf

The Mathematics of Urban Morphology: Distribution of City Size: Gibrat, Pareto, Zipf [The exact shape of the distribution of city size is subject to considerable scholarly debate, as competing theoretical models yield different implications. The alternative distributions being tested are typically the Pareto and the log-normal, whose finite sample upper tail behavior is very difficult to tell apart. Using data at different levels of aggregation (census blocks and cities) we show that the tail behavior of the distribution changes upon aggregation, and the final result depends crucially on the shape of the distribution of the number of elementary units associated with each aggregate element.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

The Mathematics of Urban MorphologyDistribution of City Size: Gibrat, Pareto, Zipf

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Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-12380-2
Pages
77 –91
DOI
10.1007/978-3-030-12381-9_4
Publisher site
See Chapter on Publisher Site

Abstract

[The exact shape of the distribution of city size is subject to considerable scholarly debate, as competing theoretical models yield different implications. The alternative distributions being tested are typically the Pareto and the log-normal, whose finite sample upper tail behavior is very difficult to tell apart. Using data at different levels of aggregation (census blocks and cities) we show that the tail behavior of the distribution changes upon aggregation, and the final result depends crucially on the shape of the distribution of the number of elementary units associated with each aggregate element.]

Published: Mar 24, 2019

Keywords: Zipf distribution; Log-normal distribution; Maximum entropy; Cities; Size distribution; C14; C51; C52

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