h i g h l i g h t s • We introduce a new family of district compactness measures. • This family is the first to incorporate a wide range of internal geographic features. • These features include roads, travel time, political boundaries, and prior districts. • This family includes the path-based measure of Chambers and Miller (2010).
a b s t r a c tWe introduce the first family of district compactness measures that can incorporate a wide range of internal geographic features. The measures in this family are the probability that a district contains an admissible path between a randomly selected pair of people. The measure can account for roads, travel time, political boundaries, and prior districts. This family of measures includes the path-based measure of Chambers and Miller (2010).