We propose a metapopulation version of the Schelling model where two kinds of
agents relocate themselves, with unconstrained destination, if their local
fitness is lower than a tolerance threshold. We show that, for small values of
the latter, the population redistributes highly heterogeneously among the
available places. The system thus stabilizes on these heterogeneous skylines
after a long quasi-stationary transient period, during which the population
remains in a well mixed phase. Varying the tolerance passing from large to
small values, we identify three possible global regimes: microscopic clusters
with local coexistence of both kinds of agents, macroscopic clusters with local
coexistence (soft segregation), macroscopic clusters with local segregation but
homogeneous densities (hard segregation). The model is studied numerically and
complemented with an analytical study in the limit of extremely large node
capacity.Comment: 16 pages, 10 figure
