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Analysing the variation tendencies of the numbers of yearly citations for sleeping beauties in science by using derivative analysis

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Abstract

To comprehensively characterize the citation histories of sleeping beauties (SBs), this paper presents a derivative analysis of SB citation curves. Derivative analysis can differentiate among periods with different variation tendencies (ascending, declining or unchanged) in the number of yearly citations; these variation tendencies can be identified from successive (positive, negative or zero) derivatives. To overcome the interference caused by fluctuations in the citation curves, a smoothing method is first applied. A sleeping period appears in a citation curve as a horizontal region with a low citation count. During an awakening period, the derivatives of the curve are positive and may include a few zeros. Some SBs experience a rapid increase in yearly citations once awakened and have a short awakening period, whereas for others, the number of yearly citations increases steadily over a long awakening period. Different SBs can also show different forms based on the change in the number of yearly citations after they reach their peak, and these forms can also be distinguished through derivative analysis. Derivative analysis can be used alone to identify SBs and determine their awakening times or in combination with other methods of identifying SBs to improve their performance by assisting in the identification of abnormal SBs. Derivative analysis enables the “beauty coefficient’’ method (Ke et al. in Proc Natl Acad Sci USA 112(24):7426–7431, 2015) to determine awakening times that do not vary over time, thereby making Ke et al.’s method immune to interference due to citation fluctuations. It also allows one to determine multiple awakening times for a single SB.

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References

  • Aichouchi, A. E., & Gorry, P. (2017). Bundle of sleeping-beauties: The case of Paul Hagenmüller and solid-state chemistry. In 16th International conference on scientometrics and informetrics (pp. 1786–1787). China: Wuhan.

  • Antoniou, A. (2005). Digital signal processing: Signal, systems, and filters. New York: McGraw-Hill.

    Google Scholar 

  • Axelrod, R., & Hamilton, W. D. (1981). The evolution of cooperation. Science, 211(4489), 1390–1396.

    Article  MathSciNet  MATH  Google Scholar 

  • Braun, T., Glänzel, W., & Schubert, A. (2010). On sleeping beauties, princes and other tales of citation distributions. Research Evaluation, 19(3), 195–202.

    Article  Google Scholar 

  • Buchsbaum, G. (1980). A spatial processor model for object colour perception. Journal of the Franklin Institute, 310(1), 1–26.

    Article  Google Scholar 

  • Cole, S. (1970). Professional standing and the reception of scientific discoveries. American Journal of Sociology, 76(2), 286–306.

    Article  Google Scholar 

  • Costas, R., van Leeuwen, T. N., & van Raan, A. F. J. (2010). Is scientific literature subject to a ‘‘sell-bydate’’? A general methodology to analyze the ‘‘durability’’ of scientific documents. Journal of the American Society for Information Science and Technology, 61(2), 329–339.

    Article  Google Scholar 

  • De Rujula, A., Georgi, H., Glashow, S. L. (1977). Molecular charmonium - A new spectroscopy. Physical Review Letters, 38(7), 317–321.

    Article  Google Scholar 

  • Dieckmann, U., & Law, R. (1996). The dynamical theory of coevolution: A derivation from stochastic ecological processes. Journal of Mathematical Biology, 34(5–6), 579–612.

    Article  MathSciNet  MATH  Google Scholar 

  • Du, J., & Wu, Y. (2016). A bibliometric framework for identifying “princes” who wake up the “sleeping beauty” in challenge-type scientific discoveries. Journal of Data and Information Science, 1(1), 50–68.

    Google Scholar 

  • Du, J., & Wu, Y. (2017). A parameter-free index for identifying under-cited sleeping beauties in science. In 16th International conference on scientometrics and informetrics (pp. 148–157). China: Wuhan.

  • Fiala, D., Subelj, L., Zitnik, S., & Bajec, M. (2015). Do PageRank-based author rankings outperform simple citation counts? Journal of Informetrics, 9(2), 334–348.

    Article  Google Scholar 

  • Gadrey, J., Gallouj, F., & Weinstein, O. (1995). New modes of innovation: How services benefit industry. International Journal of Service Industry Management, 6(3), 4–16.

    Article  Google Scholar 

  • Garfield, E. (1980). Premature discovery or delayed recognition-why? Current Contents, 21, 5–10.

    Google Scholar 

  • Garfield, E. (1989). Delayed recognition in scientific discovery: Citation frequency analysis aids the search for case histories. Current Contents, 23, 3–9.

    Google Scholar 

  • Garfield, E. (1990). More delayed recognition. 2. From inhibin to scanning electron-microscopy. Current Contents, 9, 3–9.

    Google Scholar 

  • Geritz, S. A. H., Kisdi, E., Meszena, G., Metz, J. A. J. (1998). Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evolutionary Ecology, 12(1), 35–57.

    Article  Google Scholar 

  • Glänzel, W., & Garfield, E. (2004). The myth of delayed recognition. Scientist, 18(11), 8–9.

    Google Scholar 

  • Glänzel, W., Schlemmer, B., & Thijs, B. (2003). Better late than never? On the chance to become highly cited only beyond the standard bibliometric time horizon. Scientometrics, 58(3), 571–586.

    Article  Google Scholar 

  • Gorry, P., & Aichouchi, A. E. (2017). Sleeping beauty awakened by self-citation of a review: A case study of Judah Folkman hypothesis on angiogenesis. In 16th International conference on scientometrics and informetrics (pp. 778–786). China: Wuhan.

  • Gorry, P., & Ragouet, P. (2016). “Sleeping beauty’’ and her restless sleep: Charles Dotter and the birth of interventional radiology. Scientometrics, 107(2), 773–784.

    Article  Google Scholar 

  • Hartley, J., & Ho, Y.-S. (2017). Who woke the sleeping beauties in psychology? Scientometrics, 112(2), 1065–1068.

    Article  Google Scholar 

  • Ho, Y.-S., & Hartley, J. (2017). Sleeping beauties in psychology. Scientometrics, 110(1), 301–305.

    Article  Google Scholar 

  • Kaplan, E. L., & Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association, 53(282), 457–481.

    Article  MathSciNet  MATH  Google Scholar 

  • Ke, Q., Ferrara, E., Radicchi, F., & Flammini, A. (2015). Defining and identifying sleeping beauties in science. Proceedings of the National Academy of Sciences of the United States of America, 112(24), 7426–7431.

    Article  Google Scholar 

  • Lachance, C., & Larivière, V. (2014). On the citation lifecycle of papers with delayed recognition. Journal of Informetrics, 8(4), 863–872.

    Article  Google Scholar 

  • Li, J. (2014). Citation curves of “all-elements-sleeping-beauties”: “Flash in the pan” first and then “delayed recognition”. Scientometrics, 100(2), 595–601.

    Article  Google Scholar 

  • Li, J., & Shi, D. (2016). Sleeping beauties in genius work: When were they awakened? Journal of the Association for Information Science and Technology, 67(2), 432–440.

    Article  MathSciNet  Google Scholar 

  • Li, J., Shi, D., Zhao, S. X., & Ye, F. Y. (2014). A study of the ‘‘heartbeat spectra’’ for ‘‘sleeping beauties’’. Journal of Informetrics, 8(3), 493–502.

    Article  Google Scholar 

  • Li, J., & Ye, F. Y. (2012). The phenomenon of all-elements-sleeping-beauties in scientific literature. Scientometrics, 92(3), 795–799.

    Article  Google Scholar 

  • Li, J., & Ye, F. Y. (2016). Distinguishing sleeping beauties in science. Scientometrics, 108(2), 821–828.

    Article  Google Scholar 

  • Ogino, T. & Aoki, M. (1980). Mechanism of Yellow Luminescence in GAN. Japanese Journal of Applied Physics, 19(12), 2395–2406.

    Article  Google Scholar 

  • Ohba, N., & Nakao, K. (2012). Sleeping beauties in ophthalmology. Scientometrics, 93(2), 253–264.

    Article  Google Scholar 

  • Rabiner, L. R. (1972). Linear program design of finite impulse response (FIR) digital filters. IEEE Transactions on Audio and Electroacoustics, AU, 20(4), 280–288.

    Article  Google Scholar 

  • Reichstein, T., & Shoppee, C. W. (1949). Chromatography of steroids and other colourless substances by the method of fractional elution. Discussions of the Faraday Society, 7, 305–311.

    Article  Google Scholar 

  • Savitzky, A., & Golay, M. J. E. (1964). Smoothing and differentiation of data by simplified least squares procedures. Analytical Chemistry, 36(8), 1627–1639.

    Article  Google Scholar 

  • Smith, J. M. (1976). Evolution and the theory of games: In situations characterized by conflict of interest, the best strategy to adopt depends on what others are doing. American Scientist, 64(1), 41–45.

    Google Scholar 

  • Smith, J. M., & Price, G. R. (1973). The logic of animal conflict. Nature, 246(5427), 15–18.

    Article  MATH  Google Scholar 

  • Sun, J., Min, C., & Li, J. (2016). A vector for measuring obsolescence of scientific articles. Scientometrics, 107(2), 745–757.

    Article  Google Scholar 

  • Szabo, G., & Fath, G. (2007). Evolutionary games on graphs. Physics Reports-Review Section of Physics Letters, 446(4–6), 97–216.

    MathSciNet  Google Scholar 

  • Takeda, K., & Shiraishi, K. (1994). Theoretical possibility of stage corrugation in Si and Ge analogs of graphite. Physical Review B, 50(20), 14916–14922.

    Article  Google Scholar 

  • Taylor, P. D., & Jonker, L. B. (1978). Evolutionary stable strategies and game dynamics. Mathematical Biosciences, 40(1–2), 145–156.

    Article  MathSciNet  MATH  Google Scholar 

  • Teixeira, A. A. C., Vieira, P. C., & Abreu, A. P. (2017). Sleeping beauties and their princes in innovation studies. Scientometrics, 110(2), 541–580.

    Article  Google Scholar 

  • van Calster, Ben. (2012). It takes time: A remarkable example of delayed recognition. Journal of American Society for Information Science and Technology, 63(11), 2341–2344.

    Article  Google Scholar 

  • van Raan, A. F. J. (2004). Sleeping beauties in science. Scientometrics, 59(3), 467–472.

    Article  Google Scholar 

  • van Raan, A. F. J. (2015). Dormitory of physical and engineering sciences: Sleeping beauties may be sleeping innovations. PLoS ONE, 10(10), e0139786.

    Article  Google Scholar 

  • van Raan, A. F. J. (2017). Sleeping beauties cited in patents: Is there also a dormitory of inventions? Scientometrics, 110(3), 1123–1156.

    Article  Google Scholar 

  • Yannuzzi, L. A., Sorenson, J., Spaide, R. F., Lipson, B. (1990). Idiopathic polypoidal choroidal vasculopathy (IPCV). Retina—The Journal of Retinal and Vitreous Diseases, 10(1), 1–8.

    Google Scholar 

  • Ye, F. Y., & Bornmann, L. (2017). “Smart girls” versus “sleeping beauties” in the sciences: The identification of instant and delayed recognition by using the citation angle. Journal of the Association for Information Science and Technology. https://doi.org/10.1002/asi.23846.

    Google Scholar 

Download references

Acknowledgements

The author is grateful to Professor Jianjun Sun and to the two anonymous reviewers for helpful comments on earlier versions of this article.

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  1. State Key Laboratory of Analytical Chemistry for Life Science, School of Electronic Science and Engineering, Nanjing University, Nanjing, 210023, China

    Hui Fang

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  1. Hui Fang
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Fang, H. Analysing the variation tendencies of the numbers of yearly citations for sleeping beauties in science by using derivative analysis. Scientometrics 115, 1051–1070 (2018). https://doi.org/10.1007/s11192-018-2687-9

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  • DOI: https://doi.org/10.1007/s11192-018-2687-9

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