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The unified scientometric model. Fractality and transfractality

Author

Listed:
  • R. Bailón-Moreno

    (Departamento de Ingeniería Química. Facultad de Ciencias, Campus de Fuentenueva Universidad de Granada)

  • E. Jurado-Alameda

    (Departamento de Ingeniería Química. Facultad de Ciencias, Campus de Fuentenueva Universidad de Granada)

  • R. Ruiz-Baños

    (Departamento de Biblioteconomía y Documentación, Facultad de Biblioteconomía y Documentación, Universidad de Granada)

  • J. P. Courtial

    (Laboratoire de Psychologie - Education - Cognition Développement (LabECD), Université de Nantes)

Abstract

Summary A unified scientometric model has been developed on the basis of seven principles: the actor-network principle, the translation principle, the spatial principle, the quantativity principle, the composition principle, the centre-periphery or nucleation principle, and the unified principle of cumulative advantages. The paradigm of the fractal model has been expanded by introducing the concept of fractality index and transfractality. In this work, as the first demonstration of the power of the model proposed, all the bibliometric laws known and all their mathematical expressions are deduced, both the structural distributions (Zipf, Bradford and Lotka) as well as the Price's Law of the exponential growth of science and Brookes' and Avramescu's Laws of ageing.

Suggested Citation

  • R. Bailón-Moreno & E. Jurado-Alameda & R. Ruiz-Baños & J. P. Courtial, 2005. "The unified scientometric model. Fractality and transfractality," Scientometrics, Springer;Akadémiai Kiadó, vol. 63(2), pages 231-257, April.
    • Handle: RePEc:spr:scient:v:63:y:2005:i:2:d:10.1007_s11192-005-0221-3
    DOI: 10.1007/s11192-005-0221-3
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    Cited by:

    1. Zhenyu Gou & Fan Meng & Zaida Chinchilla-Rodríguez & Yi Bu, 2022. "Encoding the citation life-cycle: the operationalization of a literature-aging conceptual model," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(8), pages 5027-5052, August.
    2. Leydesdorff, Loet & Welbers, Kasper, 2011. "The semantic mapping of words and co-words in contexts," Journal of Informetrics, Elsevier, vol. 5(3), pages 469-475.
    3. Rafael Bailón-Moreno & Encarnación Jurado-Alameda & Rosario Ruiz-Baños & Jean Pierre Courtial & Evaristo Jiménez-Contreras, 2007. "The pulsing structure of science: Ortega y Gasset, Saint Matthew, fractality and transfractality," Scientometrics, Springer;Akadémiai Kiadó, vol. 71(1), pages 3-24, April.

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