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Performance and its relation with productivity in Lotkaian systems

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  • Leo Egghe

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

Abstract

In general information production processes (IPPs), we define productivity as the total number of sources but we present a choice of seven possible definitions of performance: the mean or median number of items per source, the fraction of sources with a certain minimum number of items, the h-, g-, R- and hw-index. We give an overview of the literature on different types of IPPs and each time we interpret “performance” in these concrete cases. Examples are found in informetrics (including webometrics and scientometrics), linguistics, econometrics and demography. In Lotkaian IPPs we study these interpretations of “performance” in function of the productivity in these IPPs. We show that the mean and median number of items per source as well as the fraction of sources with a certain minimum number of items are increasing functions of the productivity if and only if the Lotkaian exponent is decreasing in function of the productivity. We show that this property implies that the g-, R- and hw-indices are increasing functions of the productivity and, finally, we show that this property implies that the h-index is an increasing function of productivity. We conclude that the h-index is the indicator which shows best the increasing relation between productivity and performance.

Suggested Citation

  • Leo Egghe, 2009. "Performance and its relation with productivity in Lotkaian systems," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 567-585, November.
    • Handle: RePEc:spr:scient:v:81:y:2009:i:2:d:10.1007_s11192-008-2226-1
    DOI: 10.1007/s11192-008-2226-1
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    References listed on IDEAS

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    Cited by:

    1. Egghe, L., 2013. "The functional relation between the impact factor and the uncitedness factor revisited," Journal of Informetrics, Elsevier, vol. 7(1), pages 183-189.
    2. Sumeer Gul & Nahida Tun Nisa & Tariq Ahmad Shah & Sangita Gupta & Asifa Jan & Suhail Ahmad, 2015. "Middle East: research productivity and performance across nations," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(2), pages 1157-1166, November.

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