The workings of the maximum entropy principle in collective human behaviour.

J R Soc Interface

Laboratoire Collisions, Agrégats, Réactivité, IRSAMC, Université Paul Sabatier, 118 Route de Narbonne, Toulouse Cedex 09, France.

Published: January 2013

We present an exhaustive study of the rank-distribution of city-population and population-dynamics of the 50 Spanish provinces (more than 8000 municipalities) in a time-window of 15 years (1996-2010). We exhibit compelling evidence regarding how well the MaxEnt principle describes the equilibrium distributions. We show that the microscopic dynamics that governs population growth is the deciding factor that originates the observed macroscopic distributions. The connection between microscopic dynamics and macroscopic distributions is unravelled via MaxEnt.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3565807PMC
http://dx.doi.org/10.1098/rsif.2012.0758DOI Listing

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