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An entropy-based measure for the evolution of h index research

Author

Listed:
  • Deming Lin

    (Dalian University of Technology)

  • Tianhui Gong

    (University of Kent)

  • Wenbin Liu

    (Beijing Normal University
    BNU-HKBU United International College
    University of Kent)

  • Martin Meyer

    (University of Aberdeen)

Abstract

The h index has been comprehensively developed and diffusely applied following its initial proposal in 2005 by Jorge Hirsch. However, while the numbers of papers and authors measured continue to grow, it is not known whether such increases in quantity mean that the research itself is advancing. Accordingly, the present study sets out to establish an analysis method, based on the concept of entropy, with which to elucidate the evolution of the h index. The results suggest that there are four stages, as follows: the emerging stage, the preliminary growth stage, the real growth stage, and the maturity stage. Meanwhile, the research of the h index is found to be in flux, and it is concluded that further development of the metric will require profound theoretical achievements as well as embedded innovation, or else the evolution of the h index will decline following a shortened maturity stage.

Suggested Citation

  • Deming Lin & Tianhui Gong & Wenbin Liu & Martin Meyer, 2020. "An entropy-based measure for the evolution of h index research," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(3), pages 2283-2298, December.
  • Handle: RePEc:spr:scient:v:125:y:2020:i:3:d:10.1007_s11192-020-03712-1
    DOI: 10.1007/s11192-020-03712-1
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    1. Remuzgo, Lorena & Trueba, Carmen & Sarabia, José María, 2016. "Evolution of the global inequality in greenhouse gases emissions using multidimensional generalized entropy measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 146-157.
    2. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    3. Mingers, John & Xu, Fang, 2010. "The drivers of citations in management science journals," European Journal of Operational Research, Elsevier, vol. 205(2), pages 422-430, September.
    4. J. E. Hirsch, 2010. "An index to quantify an individual’s scientific research output that takes into account the effect of multiple coauthorship," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(3), pages 741-754, December.
    5. Zhai, Li & Yan, Xiangbin & Zhang, Guojing, 2018. "Bi-directional h-index: A new measure of node centrality in weighted and directed networks," Journal of Informetrics, Elsevier, vol. 12(1), pages 299-314.
    6. Lutz Bornmann & Rüdiger Mutz & Hans‐Dieter Daniel, 2008. "Are there better indices for evaluation purposes than the h index? A comparison of nine different variants of the h index using data from biomedicine," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(5), pages 830-837, March.
    7. Gangan Prathap, 2011. "The Energy–Exergy–Entropy (or EEE) sequences in bibliometric assessment," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(3), pages 515-524, June.
    8. Glenn D. Walters, 2016. "Adding authorship order to the quantity and quality dimensions of scholarly productivity: evidence from group- and individual-level analyses," Scientometrics, Springer;Akadémiai Kiadó, vol. 106(2), pages 769-785, February.
    9. Lokman I. Meho & Yvonne Rogers, 2008. "Citation counting, citation ranking, and h‐index of human‐computer interaction researchers: A comparison of Scopus and Web of Science," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(11), pages 1711-1726, September.
    10. 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.
    11. Antonis Sidiropoulos & Dimitrios Katsaros & Yannis Manolopoulos, 2007. "Generalized Hirsch h-index for disclosing latent facts in citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(2), pages 253-280, August.
    12. Stosic, Darko & Stosic, Dusan & Ludermir, Teresa & de Oliveira, Wilson & Stosic, Tatijana, 2016. "Foreign exchange rate entropy evolution during financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 233-239.
    13. Gangan Prathap, 2014. "The zynergy-index and the formula for the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 65(2), pages 426-427, February.
    14. Zhang, Lin & Thijs, Bart & Glänzel, Wolfgang, 2011. "The diffusion of H-related literature," Journal of Informetrics, Elsevier, vol. 5(4), pages 583-593.
    15. Lisa Geraci & Steve Balsis & Alexander J. Busch Busch, 2015. "Gender and the h index in psychology," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(3), pages 2023-2034, December.
    16. Pablo D. Batista & Mônica G. Campiteli & Osame Kinouchi, 2006. "Is it possible to compare researchers with different scientific interests?," Scientometrics, Springer;Akadémiai Kiadó, vol. 68(1), pages 179-189, July.
    17. Gangan Prathap, 2019. "Balance: a thermodynamic perspective," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(1), pages 247-255, April.
    18. Muhammad Raheel & Samreen Ayaz & Muhammad Tanvir Afzal, 2018. "Evaluation of h-index, its variants and extensions based on publication age & citation intensity in civil engineering," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(3), pages 1107-1127, March.
    19. Abbasi, Alireza & Altmann, Jörn & Hossain, Liaquat, 2011. "Identifying the effects of co-authorship networks on the performance of scholars: A correlation and regression analysis of performance measures and social network analysis measures," Journal of Informetrics, Elsevier, vol. 5(4), pages 594-607.
    20. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    21. Zareie, Ahmad & Sheikhahmadi, Amir, 2019. "EHC: Extended H-index Centrality measure for identification of users’ spreading influence in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 141-155.
    22. Chaomei Chen & Jian Zhang & Michael S. Vogeley, 2010. "Making sense of the evolution of a scientific domain: a visual analytic study of the Sloan Digital Sky Survey research," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(3), pages 669-688, June.
    23. Blaise Cronin & Lokman Meho, 2006. "Using the h‐index to rank influential information scientistss," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 57(9), pages 1275-1278, July.
    24. Cobo, M.J. & López-Herrera, A.G. & Herrera-Viedma, E. & Herrera, F., 2011. "An approach for detecting, quantifying, and visualizing the evolution of a research field: A practical application to the Fuzzy Sets Theory field," Journal of Informetrics, Elsevier, vol. 5(1), pages 146-166.
    25. Cameron Neylon & Shirley Wu, 2009. "Article-Level Metrics and the Evolution of Scientific Impact," PLOS Biology, Public Library of Science, vol. 7(11), pages 1-6, November.
    26. Gangan Prathap, 2010. "The 100 most prolific economists using the p-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 167-172, July.
    27. Rizwan Ghani & Faiza Qayyum & Muhammad Tanvir Afzal & Hermann Maurer, 2019. "Comprehensive evaluation of h-index and its extensions in the domain of mathematics," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(3), pages 809-822, March.
    28. Mingers, John & Leydesdorff, Loet, 2015. "A review of theory and practice in scientometrics," European Journal of Operational Research, Elsevier, vol. 246(1), pages 1-19.
    29. Gangan Prathap, 2010. "Is there a place for a mock h-index?," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 153-165, July.
    30. Isidro F. Aguillo, 2012. "Is Google Scholar useful for bibliometrics? A webometric analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(2), pages 343-351, May.
    31. Huchang Liao & Ming Tang & Li Luo & Chunyang Li & Francisco Chiclana & Xiao-Jun Zeng, 2018. "A Bibliometric Analysis and Visualization of Medical Big Data Research," Sustainability, MDPI, vol. 10(1), pages 1-18, January.
    32. Roberto Todeschini, 2011. "The j-index: a new bibliometric index and multivariate comparisons between other common indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(3), pages 621-639, June.
    33. Wolfgang Glänzel, 2006. "On the h-index - A mathematical approach to a new measure of publication activity and citation impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 67(2), pages 315-321, May.
    34. Hadas Shema & Judit Bar-Ilan & Mike Thelwall, 2015. "How is research blogged? A content analysis approach," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 66(6), pages 1136-1149, June.
    35. Yu-Wei Chang & Mu-Hsuan Huang & Chiao-Wen Lin, 2015. "Evolution of research subjects in library and information science based on keyword, bibliographical coupling, and co-citation analyses," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(3), pages 2071-2087, December.
    36. van Eck, N.J.P. & Waltman, L., 2008. "Generalizing the h- and g-indices," ERIM Report Series Research in Management ERS-2008-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    37. Madiha Ameer & Muhammad Tanvir Afzal, 2019. "Evaluation of h-index and its qualitative and quantitative variants in Neuroscience," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(2), pages 653-673, November.
    38. Lorna Wildgaard & Jesper W. Schneider & Birger Larsen, 2014. "A review of the characteristics of 108 author-level bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(1), pages 125-158, October.
    39. Kevin W. Boyack & Katy Börner & Richard Klavans, 2009. "Mapping the structure and evolution of chemistry research," Scientometrics, Springer;Akadémiai Kiadó, vol. 79(1), pages 45-60, April.
    40. L. Egghe, 2013. "A rationale for the relation between the citer h-index and the classical h-index of a researcher," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(3), pages 873-876, March.
    41. Giovanni Abramo & Corrado Costa & Ciriaco Andrea D’Angelo, 2015. "A multivariate stochastic model to assess research performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(2), pages 1755-1772, February.
    42. Anthony F. J. Raan, 2006. "Comparison of the Hirsch-index with standard bibliometric indicators and with peer judgment for 147 chemistry research groups," Scientometrics, Springer;Akadémiai Kiadó, vol. 67(3), pages 491-502, June.
    43. Gangan Prathap, 2014. "Quantity, quality, and consistency as bibliometric indicators," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 65(1), pages 214-214, January.
    44. Mao, Guozhu & Zou, Hongyang & Chen, Guanyi & Du, Huibin & Zuo, Jian, 2015. "Past, current and future of biomass energy research: A bibliometric analysis," Renewable and Sustainable Energy Reviews, Elsevier, vol. 52(C), pages 1823-1833.
    45. Qiang Wu, 2010. "The w-index: A measure to assess scientific impact by focusing on widely cited papers," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(3), pages 609-614, March.
    46. Tibor Braun & Wolfgang Glänzel & András Schubert, 2006. "A Hirsch-type index for journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 169-173, October.
    47. Schreiber, Michael, 2010. "A case study of the modified g index: Counting multi-author publications fractionally," Journal of Informetrics, Elsevier, vol. 4(4), pages 636-643.
    48. Lucio Bertoli-Barsotti & Tommaso Lando, 2017. "A theoretical model of the relationship between the h-index and other simple citation indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 111(3), pages 1415-1448, June.
    49. Daphne R. Raban & Avishag Gordon, 2020. "The evolution of data science and big data research: A bibliometric analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 122(3), pages 1563-1581, March.
    50. Edit Csajbók & Anna Berhidi & Lívia Vasas & András Schubert, 2007. "Hirsch-index for countries based on Essential Science Indicators data," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(1), pages 91-117, October.
    51. Lutz Bornmann & Hans-Dieter Daniel, 2005. "Does the h-index for ranking of scientists really work?," Scientometrics, Springer;Akadémiai Kiadó, vol. 65(3), pages 391-392, December.
    52. Alonso, S. & Cabrerizo, F.J. & Herrera-Viedma, E. & Herrera, F., 2009. "h-Index: A review focused in its variants, computation and standardization for different scientific fields," Journal of Informetrics, Elsevier, vol. 3(4), pages 273-289.
    53. Serhat Burmaoglu & Ozcan Saritas & Levent Bekir Kıdak & İpek Camuz Berber, 2017. "Evolution of connected health: a network perspective," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(3), pages 1419-1438, September.
    54. Bornmann, Lutz, 2014. "Do altmetrics point to the broader impact of research? An overview of benefits and disadvantages of altmetrics," Journal of Informetrics, Elsevier, vol. 8(4), pages 895-903.
    55. Samreen Ayaz & Nayyer Masood & Muhammad Arshad Islam, 2018. "Predicting scientific impact based on h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(3), pages 993-1010, March.
    56. Qiang Wu, 2010. "The w‐index: A measure to assess scientific impact by focusing on widely cited papers," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 61(3), pages 609-614, March.
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