E. Bonabeau et al., SPACE DIMENSION AND SCALING IN FISH SCHOOL-SIZE DISTRIBUTIONS, Journal of physics. A, mathematical and general (Print), 31(44), 1998, pp. 731-736
A simple model of aggregation has been used, in its mean-field version
, to explain the observed scaling property of tuna fish school-size di
stributions (Bonabeau E and Dagorn L 1995 Phys. Rev. E 51 5220). This
model makes additional predictions when the dimension of the space in
which the fish move is taken into account. In this letter, we identify
two cases where the mean-field assumption, which was justified for fr
ee-swimming tuna fish, is no longer valid. In these two examples, scal
ing is also observed and the exponent is modified from the mean-field
case in a way predicted by the model.