We define a segregation ordering as a ranking of cities from most segregated to least segregated. \ We propose a set of … basic properties that any reasonable segregation ordering should have. \ We then fully characterize the class of segregation … orderings that satisfy these basic properties. \ We prove that every such ordering is representable by a segregation index that …

residential segregation between blacks and whites. Segregation increased substantially from 1890 to 1940 and, despite falling … since 1970, remained considerably higher in 1990 than in 1890. Their segregation measure is a weighted average of within …-city segregation indices. It does not reflect segregation between cities, which fell sharply over the period as blacks moved from …