Widespread occurrence of the inverse square distribution in social sciences and taxonomy.
The widespread occurrence of an inverse square relation in the hierarchical distribution of subcommunities within communities (or subspecies 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 treelike classification method. Different treelike classifications (both of real and truly random systems) display a similar statistical behavior when considering the sizes of their sub-branches.
Caldarelli
Guido
G
INFM, UdR ROMA 1, Dipartimento di Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro 2, 00185 Rome, Italy.
Caretta Cartozo
Cécile
C
De los Rios
Paolo
P
Servedio
Vito D P
VD