Diversity partitions in 3-way sorting: functions, Venn diagram mappings, typical additive series, and examples

Orlóci, L. (2006) Diversity partitions in 3-way sorting: functions, Venn diagram mappings, typical additive series, and examples. Community Ecology, 7 (2). pp. 253-257. ISSN 1585-8553

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Abstract

In this paper, logarithmic functions are described based on which the total diversity of a collection can be partitioned into components specific to factorial effects. The standard statistical modus operandi of testing hypotheses in a factorial design is applied, only the test criteria changed. The factor identities are chosen according to stated hypothesis, observations are made and sorted, the associated entropy and information quantities are calculated, and probabilistic tests of significance are performed regarding main effects and interaction terms. The basics are presented in the main text. The partition functions, their Venn diagram mappings, and a complete printout from the application program DIVPART.EXE are collected in a separate Appendix accessible with this article on the publisher’s website.

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