Diversity in complex systems: measuring parts of the distribution to the whole

Rajaram, R; Castellani, B

doi:10.1088/2399-6528/ab8488

Diversity in complex systems: measuring parts of the distribution to the whole

Rajaram, R; Castellani, B

Authors

R Rajaram

Professor Brian Castellani brian.c.castellani@durham.ac.uk
Professor

Abstract

Despite the utility of the Hill numbers, measuring diversity within complex systems and complex datasets, particularly regarding parts of a distribution to the whole—that is, different portions of diversity types to the entire system or dataset—is a challenging issue. In this paper, we attempt to relate the diversity of a part (or parts) of a distribution to the diversity of the whole. We derive this relationship for the Hill numbers ${}^{q}D$, and use these results to further examine the effect of a freely varying type on the diversity of the whole distribution.

Citation

Rajaram, R., & Castellani, B. (2020). Diversity in complex systems: measuring parts of the distribution to the whole. Journal of Physics Communications, 4(4), Article 045008. https://doi.org/10.1088/2399-6528/ab8488

Journal Article Type	Article
Acceptance Date	Mar 30, 2020
Online Publication Date	Apr 16, 2020
Publication Date	2020-04
Deposit Date	Apr 17, 2020
Publicly Available Date	Jun 18, 2020
Journal	Journal of Physics Communications
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	4
Issue	4
Article Number	045008
DOI	https://doi.org/10.1088/2399-6528/ab8488

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