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Modelling successive h-indices

Author

Listed:
  • Leo Egghe

    (Universiteit Hasselt (UHasselt)
    Universiteit Antwerpen (UA)
    Universiteit Hasselt (UHasselt))

Abstract

From a list of papers of an author, ranked in decreasing order of the number of citations to these papers one can calculate this author’s Hirsch index (or h-index). If this is done for a group of authors (e.g. from the same institute) then we can again list these authors in decreasing order of their h-indices and from this, one can calculate the h-index of (part of) this institute. One can go even further by listing institutes in a country in decreasing order of their h-indices and calculate again the h-index as described above. Such h-indices are called by Schubert [2007] “successive” h-indices. In this paper we present a model for such successive h-indices based on our existing theory on the distribution of the h-index in Lotkaian informetrics. We show that, each step, involves the multiplication of the exponent of the previous h-index by 1/α where α > 1 is a Lotka exponent. We explain why, in general, successive h-indices are decreasing. We also introduce a global h-index for which tables of individuals (authors, institutes,...) are merged. We calculate successive and global h-indices for the (still active) D. De Solla Price awardees.

Suggested Citation

  • Leo Egghe, 2008. "Modelling successive h-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(3), pages 377-387, December.
  • Handle: RePEc:spr:scient:v:77:y:2008:i:3:d:10.1007_s11192-007-1968-5
    DOI: 10.1007/s11192-007-1968-5
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    References listed on IDEAS

    as
    1. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    2. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    3. András Schubert, 2007. "Successive h-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 70(1), pages 201-205, January.
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    Citations

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    Cited by:

    1. Leo Egghe, 2009. "Performance and its relation with productivity in Lotkaian systems," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 567-585, November.
    2. John Panaretos & Chrisovaladis Malesios, 2009. "Assessing scientific research performance and impact with single indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 635-670, December.
    3. Jerome K. Vanclay & Lutz Bornmann, 2012. "Metrics to evaluate research performance in academic institutions: a critique of ERA 2010 as applied in forestry and the indirect H2 index as a possible alternative," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(3), pages 751-771, June.
    4. Leo Egghe & Ronald Rousseau, 2021. "The h-index formalism," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 6137-6145, July.

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