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

Rajaram, R; Castellani, B

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
• Electronic ISSN: 2399-6528
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 4
• Issue: 4
• Article Number: 045008
• DOI: https://doi.org/10.1088/2399-6528/ab8488
• Public URL: https://durham-repository.worktribe.com/output/1272877