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Thomas Schelling proposed an influential simple spatial model to illustratehow, even with relatively mild assumptions on each individual's nearestneighbor preferences, an integrated city would likely unravel to a segregatedcity, even if all individuals prefer integration. Aggregation relates toindividuals coming together to form groups and global aggregation correspondsto segregation. Many authors assumed that the segregation which Schellingobserved in simulations on very small cities persists for larger, realisticsize cities. We devise new measures to quantify the segregation and unlock itsdependence on city size, disparate neighbor comfortability threshold, andpopulation density. We identify distinct scales of global aggregation, and showthat the striking global aggregation Schelling observed is strictly a smallcity phenomenon. We also discover several scaling laws for the aggregationmeasures.

Schelling's Segregation Model: Parameters, scaling, and aggregation