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Complexity
Volume 2017, Article ID 8715605, 10 pages
https://doi.org/10.1155/2017/8715605
Research Article

Advancing Shannon Entropy for Measuring Diversity in Systems

1Department of Mathematical Sciences, Kent State University, Kent, OH, USA
2Department of Sociology, Kent State University, 3300 Lake Rd. West, Ashtabula, OH, USA
3School of Social and Health Sciences, Abertay University, Dundee DD1 1HG, UK

Correspondence should be addressed to R. Rajaram; ude.tnek@marajarr

Received 31 January 2017; Revised 5 April 2017; Accepted 23 April 2017; Published 24 May 2017

Academic Editor: Enzo Pasquale Scilingo

Copyright © 2017 R. Rajaram et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. E. Page, The Difference: How the Power of Diversity Creates Better Groups, Firms, Schools, and Societies, Princeton University Press, 2008. View at Publisher · View at Google Scholar
  2. S. E. Page, Diversity and Complexity, Princeton University Press, 2008.
  3. M. O. Hill, “Diversity and evenness: a unifying notation and its consequences,” Ecology, vol. 54, no. 2, pp. 427–432, 1973. View at Publisher · View at Google Scholar
  4. L. Jost, “Entropy and diversity,” Oikos, vol. 113, no. 2, pp. 363–375, 2006. View at Publisher · View at Google Scholar · View at Scopus
  5. R. Rajaram and B. Castellani, “An entropy based measure for comparing distributions of complexity,” Physica A. Statistical Mechanics and Its Applications, vol. 453, pp. 35–43, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  6. B. Castellani and R. Rajaram, “Past the power law: complex systems and the limiting law of restricted diversity,” Complexity, vol. 21, no. 2, pp. 99–112, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  7. M. E. J. Newman, “Power laws, Pareto distributions and Zipf's law,” Contemporary Physics, vol. 46, no. 5, pp. 323–351, 2005. View at Publisher · View at Google Scholar · View at Scopus
  8. M. C. Mackey, Time's Arrow: The Origins of Thermodynamic Behavior, Springer Verlag, Germany, 1992. View at Publisher · View at Google Scholar
  9. T. Leinster and C. A. Cobbold, “Measuring diversity: the importance of species similarity,” Ecology, vol. 93, no. 3, pp. 477–489, 2012. View at Publisher · View at Google Scholar · View at Scopus
  10. J. Beck and W. Schwanghart, “Comparing measures of species diversity from incomplete inventories: an update,” Methods in Ecology and Evolution, vol. 1, no. 1, pp. 38–44, 2010. View at Publisher · View at Google Scholar
  11. R. H. Macarthur, “Patterns of species diversity,” Biological Reviews, vol. 40, pp. 510–533, 1965. View at Publisher · View at Google Scholar · View at Scopus
  12. R. Peet, “The measurement of species diversity,” Annual Review of Ecological Systems, vol. 5, pp. 285–307, 1974. View at Publisher · View at Google Scholar
  13. C. H. Tien and J. H. Lienhard, Statistical Thermodynamics, Hemisphere, 1979.