Physics > Physics and Society
[Submitted on 11 Jan 2017 (v1), last revised 9 Mar 2017 (this version, v2)]
Title:Allometric Scaling in Scientific Fields
View PDFAbstract:Allometric scaling can reflect underlying mechanisms, dynamics and structures in complex systems; examples include typical scaling laws in biology, ecology and urban development. In this work, we study allometric scaling in scientific fields. By performing an analysis of the outputs/inputs of various scientific fields, including the numbers of publications, citations, and references, with respect to the number of authors, we find that in all fields that we have studied thus far, including physics, mathematics and economics, there are allometric scaling laws relating the outputs/inputs and the sizes of scientific fields. Furthermore, the exponents of the scaling relations have remained quite stable over the years. We also find that the deviations of individual subfields from the overall scaling laws are good indicators for ranking subfields independently of their sizes.
Submission history
From: Li Menghui [view email][v1] Wed, 11 Jan 2017 06:49:39 UTC (269 KB)
[v2] Thu, 9 Mar 2017 06:47:15 UTC (264 KB)
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