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

Rajaram, R. and Castellani, B. (2020) 'Diversity in complex systems : measuring parts of the distribution to the whole.', Journal of physics communications., 4 (4). 045008.


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.

Item Type:Article
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Publisher statement:Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Date accepted:30 March 2020
Date deposited:18 June 2020
Date of first online publication:16 April 2020
Date first made open access:18 June 2020

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