The Geography of Scientific Citation

Batty, Michael

doi:10.1068/a3505com

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The Geography of Scientific Citation

Author(s): Michael Batty

Publication date Created: July 24 2016

Publication date (Print): July 24 2016

Journal: Environment and Planning A

Publisher: Pion Ltd

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Is Open Access

How Popular is Your Paper? An Empirical Study of the Citation Distribution

S Redner (1998)

Numerical data for the distribution of citations are examined for: (i) papers published in 1981 in journals which are catalogued by the Institute for Scientific Information (783,339 papers) and (ii) 20 years of publications in Physical Review D, vols. 11-50 (24,296 papers). A Zipf plot of the number of citations to a given paper versus its citation rank appears to be consistent with a power-law dependence for leading rank papers, with exponent close to -1/2. This, in turn, suggests that the number of papers with x citations, N(x), has a large-x power law decay N(x)~x^{-alpha}, with alpha approximately equal to 3.