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Quantifying the ease of scientific discovery

Author

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  • Samuel Arbesman

    (Harvard Medical School
    Harvard University)

Abstract

It has long been known that scientific output proceeds on an exponential increase, or more properly, a logistic growth curve. The interplay between effort and discovery is clear, and the nature of the functional form has been thought to be due to many changes in the scientific process over time. Here I show a quantitative method for examining the ease of scientific progress, another necessary component in understanding scientific discovery. Using examples from three different scientific disciplines—mammalian species, chemical elements, and minor planets—I find the ease of discovery to conform to an exponential decay. In addition, I show how the pace of scientific discovery can be best understood as the outcome of both scientific output and ease of discovery. A quantitative study of the ease of scientific discovery in the aggregate, such as done here, has the potential to provide a great deal of insight into both the nature of future discoveries and the technical processes behind discoveries in science.

Suggested Citation

  • Samuel Arbesman, 2011. "Quantifying the ease of scientific discovery," Scientometrics, Springer;Akadémiai Kiadó, vol. 86(2), pages 245-250, February.
    • Handle: RePEc:spr:scient:v:86:y:2011:i:2:d:10.1007_s11192-010-0232-6
    DOI: 10.1007/s11192-010-0232-6
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    References listed on IDEAS

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    1. Luís M. A. Bettencourt & David I. Kaiser & Jasleen Kaur & Carlos Castillo-Chávez & David E. Wojick, 2008. "Population modeling of the emergence and development of scientific fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 75(3), pages 495-518, June.
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    Cited by:

    1. Chih-Hsing Liu & Jun-You Lin, 2024. "Collaboration-based scientific productivity: evidence from Nobel laureates," Scientometrics, Springer;Akadémiai Kiadó, vol. 129(7), pages 3735-3768, July.
    2. Jay Bhattacharya & Mikko Packalen, 2020. "Stagnation and Scientific Incentives," NBER Working Papers 26752, National Bureau of Economic Research, Inc.
    3. Michael Park & Erin Leahey & Russell Funk, 2021. "The decline of disruptive science and technology," Papers 2106.11184, arXiv.org, revised Jul 2022.
    4. Chung-Souk Han, 2011. "On the demographical changes of U.S. research doctorate awardees and corresponding trends in research fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(3), pages 845-865, December.
    5. J. A. Tenreiro Machado & Alexandra M. S. F. Galhano & Juan J. Trujillo, 2014. "On development of fractional calculus during the last fifty years," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(1), pages 577-582, January.

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