Skip to main content
Log in

A model showing the increase in time of the average and median reference age and the decrease in time of the Price Index

  • Published:
Scientometrics Aims and scope Submit manuscript

Abstract

This paper proves two regularities that where found in the paper (Larivière et al. (2007). Long-term patterns in the aging of the scientific literature, 1900–2004. In Proceedings of ISSI 2007. CSIC, Madrid, Spain, pp. 449–456.). The first is that the mean as well as the median reference age increases in time. The second is that the Price Index decreases in time. Using an exponential literature growth model we prove both regularities. Hence we show that the two results do not have a special informetric reason but that they are just a mathematical consequence of a widely accepted simple literature growth model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Adamic, L. A., & Huberman, B. A. (2001). The Web’s hidden order. Communications of the ACM, 44(9), 55–60.

    Article  Google Scholar 

  • Chen, L., Liu, Z., & Liang, L. (2007). The relationship of Price Index and median citation age. In D. Torres-Salinas & H. F. Moed (Eds.), Proceedings of ISSI 2007 (pp. 844–845). Madrid, Spain: CSIC.

    Google Scholar 

  • Egghe, L. (1997). Price index and its relation to the mean and median reference age. Journal of the American Society for Information Science, 48(6), 564–573.

    Article  Google Scholar 

  • Egghe, L., & Rao, I. K. R. (1992). Classification of growth models based on growth rates and its applications. Scientometrics, 25(1), 5–46.

    Article  Google Scholar 

  • Glänzel, W., & Schoepflin, U. (1995). A bibliometric ageing study based on serial and non-serial reference literature in the sciences. In M. E. D. Koenig & A. Bookstein (Eds.), Proceedings of the fifth biennial conference of the ISSI (pp. 177–185). River Forest, IL: Rosary College.

    Google Scholar 

  • Jin, B., & Rousseau, R. (2005). China’s quantitative expansion phase: exponential growth but low impact. In P. Ingwersen & B. Larsen (Eds.), Proceedings of ISSI 2005 (pp. 362–370). Stockholm, Sweden: Karolinska University Press.

    Google Scholar 

  • Internet Software Consortium. (2009). Internet Domain Survey. Host Count. http://www.isc.org/solutions/survey. Retrieved 9 June 2009.

  • Larivière, V., Archambault, E., & Gingras, Y. (2007). Long-term patterns in the aging of the scientific literature, 1900–2004. In D. Torres-Salinas & H. F. Moed (Eds.), Proceedings of ISSI 2007 (pp. 449–456). Madrid, Spain: CSIC.

    Google Scholar 

  • Larivière, V., Archambault, E., & Gingras, Y. (2008). Long-term variations in the aging of scientific literature: from exponential growth to steady state science (1900–2004). Journal of the American Society for Information Science and Technology, 59(2), 288–296.

    Article  Google Scholar 

Download references

Acknowledgement

The author is grateful for interesting discussions with Prof. Dr. R. Rousseau on the topic of this paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. Egghe.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Egghe, L. A model showing the increase in time of the average and median reference age and the decrease in time of the Price Index. Scientometrics 82, 243–248 (2010). https://doi.org/10.1007/s11192-009-0057-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11192-009-0057-3

Keywords

Navigation