On the Widespread Occurrence of the Inverse Square Distribution in Social Sciences and Taxonomy

Details On the Widespread Occurrence of the Inverse Square Distribution in Social Sciences and Taxonomy On the Widespread Occurrence of the Inverse Square Distribution in Social Sciences and Taxonomy

2003-11-20

arxiv.org/abs/cond-mat/0311486v1

Physics

Condensed Matter

Statistical Mechanics

3 eps figures

Scientific paper

10.1103/PhysRevE.69.035101

The widespread occurrence of an inverse square relation in the hierarchical distribution of sub-communities within communities (or sub-species within species) has been recently invoked as a signature of hierarchical self-organization within social and ecological systems. Here we show that, whether such systems are self-organized or not, this behavior is the consequence of the tree-like classification method. Different tree-like classifications (both of real and truly random systems) display a similar statistical behaviour when considering the sizes of their sub-branches.

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