eprintid: 2209
rev_number: 14
eprint_status: archive
userid: 6
dir: disk0/00/00/22/09
datestamp: 2014-06-24 12:20:11
lastmod: 2014-07-28 09:36:00
status_changed: 2014-06-24 12:20:11
type: article
metadata_visibility: show
creators_name: Belmonte, Alessandro
creators_name: Di Clemente, Riccardo
creators_name: Buldyrev, Sergey V.
creators_id: alessandro.belmonte@imtlucca.it
creators_id: riccardo.diclemente@alumni.imtlucca.it
creators_id: 
title: The Italian primary school-size distribution and the city-size: a complex nexus
ispublished: pub
subjects: DG
subjects: HA
subjects: HB
subjects: L1
divisions: EIC
full_text_status: public
abstract: We characterize the statistical law according to which Italian primary school-size distributes. We find that the school-size can be approximated by a log-normal distribution, with a fat lower tail that collects a large number of very small schools. The upper tail of the school-size distribution decreases exponentially and the growth rates are distributed with a Laplace PDF. These distributions are similar to those observed for firms and are consistent with a Bose-Einstein preferential attachment process. The body of the distribution features a bimodal shape suggesting some source of heterogeneity in the school organization that we uncover by an in-depth analysis of the relation between schools-size and city-size. We propose a novel cluster methodology and a new spatial interaction approach among schools which outline the variety of policies implemented in Italy. Different regional policies are also discussed shedding lights on the relation between policy and geographical features.
date: 2014-06
publication: Scientific Reports
volume: 4
number: 5301
publisher: Nature Publishing Group
pagerange: 1-11
id_number: doi:10.1038/srep05301
refereed: TRUE
issn: 2045-2322
official_url: http://dx.doi.org/10.1038/srep05301
citation:   Belmonte, Alessandro and Di Clemente, Riccardo and Buldyrev, Sergey V.  The Italian primary school-size distribution and the city-size: a complex nexus.  Scientific Reports, 4 (5301).  pp. 1-11.  ISSN 2045-2322      (2014)  
document_url: http://eprints.imtlucca.it/2209/1/srep05301.pdf