Accessibility and Spatial Structure

Due to different spatial structures, two different locations of the same importance will have different accessibilities. On example A representing a spatial structure where locations are uniformly distributed, locations 1 and 2 have different accessibilities, with location 1 being the most accessible. As distance (Euclidean) increases, location 1 has access to a larger number of locations than location 2. To access all locations, location 2 would require a longer traveled distance (roughly twice) than location 1. This is particularly the case as the spatial structure changes to one concentrated around location 1 (Example B). In this case, the number of locations that can be reached by location 1 climbs rapidly and then eventually peaks. The third example (C) has a spatial structure having roughly two foci. Although the number of locations that can be reached from location 2 initially climbs faster than for location 1, locations 1 catches up and is actually the most accessible, but by a lesser margin.