A direct consequence of criticality, as defined by the previous rules, is the existence of a power law in the taxonomy. In our case, every time that replacement takes place, we define the new elements to be a subtaxa of the parent species chosen to be copied. As an example, we have considered the values of the local fields at each time step. Provided that the connections take values between and , the internal fields can theoretically range from to , though large negative values will be rarely observed. We divide this interval in pieces and at each time step we look at all the species in the system and find all the intervals that are occupied at least by one of them.
Black dots mean occupied sites.
As we can see the previous rules generate a very complex pattern of diversification followed by extinctions. Random and ordered domains are observed.