SPECIES SEGREGATION IN A MODEL OF INTERACTING POPULATIONS

We investigate segregation and spatial organization in a one-dimension al system of N competing species forming a cyclic food chain. For N < 5, the system organizes into single-species domains, with an algebraic ally growing typical size. For N = 3 and N = 4, the domains are correl ated and they organize into ''superdomains'' which are characterized b y an additional length scale. We present scaling arguments as well as numerical simulations for the leading asymptotic behavior of the densi ty of interfaces separating neighboring domains. We also discuss stati stical properties of the system such as the mutation distribution and the age distribution, and outline an exact solution for the case N=3.