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Golden-ratio as a substitute to geometric and harmonic counting to determine multi-author publication credit

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  • Yannick Berker

    (University of Pennsylvania
    RWTH Aachen University
    German Cancer Research Center (DKFZ))

Abstract

Countless bibliometric indexes have been proposed to assess researchers’ productivities, in particular, in fields where the author sequence is regarded helpful in determining authors’ individual credits. Unfortunately, the most popular h-index ignores author ranks and leads to bias with multi-author publications; and of the many bibliometric counting methods proposed for assigning credit to authors, such as harmonic or geometric counting, none seems to have been widely adopted yet. In this work, I challenge the assumption that the total credit for a publication be equal to 1. This total-credit normalization assumption diminishes first-author credit and may impede adoption of multi-author-aware credit assignment rules. Other than on relative contributions, author credit could be based on variables such as accountability, which remains unchanged for the first (and potentially, the last) author regardless of additional coauthors. Therefore, I study the adequacy of several counting methods for first-author-normalized credit, giving full credit to the first author while also crediting coauthors. Harmonic counting has been shown to agree well with empirical data; however, unlike geometric counting, harmonic counting results in unbounded total credit for a publication with first-author-credit normalization in the limit of many authors. I therefore propose adaptable geometric counting and evaluate how it combines the advantages of harmonic and geometric counting through an additional parameter. I show that the golden ratio is a parameter for geometric counting that agrees as well as harmonic counting with empirical data for total-credit normalization; and I discuss the impact of using adaptable geometric counting with first-author-normalized credit. In particular, the latter features bounded total credits even when full credit is given to first authors. In conclusion, geometric counting with the golden ratio can be used for credit assignment without having to choose a parameter value, yet offers customization potential and can be combined with either normalization assumption.

Suggested Citation

  • Yannick Berker, 2018. "Golden-ratio as a substitute to geometric and harmonic counting to determine multi-author publication credit," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(3), pages 839-857, March.
    • Handle: RePEc:spr:scient:v:114:y:2018:i:3:d:10.1007_s11192-017-2632-3
    DOI: 10.1007/s11192-017-2632-3
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    2. Simoes, Nadia & Crespo, Nuno, 2020. "Self-Citations and scientific evaluation: Leadership, influence, and performance," Journal of Informetrics, Elsevier, vol. 14(1).
    3. Liu, Xuan Zhen & Fang, Hui, 2023. "A geometric counting method adaptive to the author number," Journal of Informetrics, Elsevier, vol. 17(2).
    4. Yves Fassin, 2020. "The HF-rating as a universal complement to the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(2), pages 965-990, November.
    5. Jingda Ding & Chao Liu & Qiao Zheng & Wei Cai, 2021. "A new method of co-author credit allocation based on contributor roles taxonomy: proof of concept and evaluation using papers published in PLOS ONE," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(9), pages 7561-7581, September.

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