A Universal Rank-Size Law
Ausloos, M. and Cerqueti, R. (2016). A Universal Rank-Size Law. PLoS ONE. 11 (11).
|Authors||Ausloos, M. and Cerqueti, R.|
A mere hyperbolic law, like the Zipf’s law power function, is often inadequate to describe rank-size relationships. An alternative theoretical distribution is proposed based on theoretical physics arguments starting from the Yule-Simon distribution. A modeling is proposed leading to a universal form. A theoretical suggestion for the “best (or optimal) distribution”, is provided through an entropy argument. The ranking of areas through the number of cities in various countries and some sport competition ranking serves for the present illustrations.
|Journal citation||11 (11)|
|Publisher||Public Library of Science (PLoS)|
|Digital Object Identifier (DOI)||doi:10.1371/journal.pone.0166011|
|Web address (URL)||https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0166011|
|Online||03 Nov 2016|
|Publication process dates|
|Deposited||28 Feb 2020|
|Accepted author manuscript|
CC BY 4.0
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