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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2016, Volume 9, Issue 1, Pages 32–45 (Mi vyuru300)  

Mathematical Modelling

Temporal dynamics of Hirsch index

Yu. Yu. Tarasevich, T. S. Shinyaeva

Astrakhan State University, Astrakhan, Russian Federation

Abstract: We performed the analysis of the data from the Scopus database regarding temporal dynamics of $h$-index and $h_s(2015)$-index of a group of the continuously and consistently working scientists. We propose a model describing the temporal dynamics of $h$-index. Temporal dynamics of $h_s(2015)$-index demonstrates sigmoidal behaviour. The model takes into account: 1) changing the publication activity of the scientist (sigmoidal growth of number of publications at the early stages of scientific career is assumed); 2) the distribution of articles by the number of citations; 3) the dynamics of each specific article citation (typically, the number of citations at first increases and then gradually decreases). The dynamics of the $h$-index as a function of average productivity (number of articles published per year) is investigated. We used two types of citations distributions, i.e. Lotka distribution and geometric distribution. Both distributions lead to a qualitatively correct temporal dynamics of Hirsch index.

Keywords: $h$-index; modelling.

DOI: https://doi.org/10.14529/mmp160103

Full text: PDF file (934 kB)
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Bibliographic databases:

UDC: 519.8
MSC: 62P25
Received: 01.06.2015

Citation: Yu. Yu. Tarasevich, T. S. Shinyaeva, “Temporal dynamics of Hirsch index”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:1 (2016), 32–45

Citation in format AMSBIB
\Bibitem{TarShi16}
\by Yu.~Yu.~Tarasevich, T.~S.~Shinyaeva
\paper Temporal dynamics of Hirsch index
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2016
\vol 9
\issue 1
\pages 32--45
\mathnet{http://mi.mathnet.ru/vyuru300}
\crossref{https://doi.org/10.14529/mmp160103}
\elib{http://elibrary.ru/item.asp?id=25717231}


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