Universality of citation distributions for academic institutions and journals

Abstract

Citations measure the importance of a publication, and may serve as a proxy for its popularity and quality of its contents. Here we study the distributions of citations to publications from individual academic institutions for a single year. The average number of citations have large variations between different institutions across the world, but the probability distributions of citations for individual institutions can be rescaled to a common form by scaling the citations by the average number of citations for that institution. We find this feature seem to be universal for a broad selection of institutions irrespective of the average number of citations per article. A similar analysis for citations to publications in a particular journal in a single year reveals similar results. We find high absolute inequality for both these sets, Gini coefficients being around $0.66$ and $0.58$ for institutions and journals respectively. We also find that the top $25$% of the articles hold about $75$% of the total citations for institutions and the top $29$% of the articles hold about $71$% of the total citations for journals.

9 pages, 6 figs + Supplementary information (8 pages, 7 fig, 6 tables). Accepted in PLoS ONE

References in corpus (10)

• Power-law distributions in empirical data
• Statistical physics of social dynamics
• Universality of citation distributions: towards an objective measure of scientific impact
• Laws of Population Growth
• Scaling and universality in proportional elections
• Nonuniversal power law scaling in the probability distribution of scientific citations
• A reverse engineering approach to the suppression of citation biases reveals universal properties of citation distributions
• Inequality in Societies, Academic Institutions and Science Journals: Gini and k-indices
• Measuring social inequality with quantitative methodology: analytical estimates and empirical data analysis by Gini and $k$ indices
• On the evolution and utility of annual citation indices

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