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. Author manuscript; available in PMC: 2020 Oct 5.
Published in final edited form as: Spat Spatiotemporal Epidemiol. 2018 Aug 29;27:47–59. doi: 10.1016/j.sste.2018.08.003

Table 1:

Description of map distortion in Figure 1 scaled so the spatial unit is the average distance between nearest neighbors on the same block. Interpretation of S varies by specific map due to variability in sizes and shapes of city blocks. S describes ratio of distance between geographic median of each city block relative to the true map (which is equivalent to S = 1). Table summarizes how this distortion corresponds to additional distance between houses on different blocks using mean and standard deviation (sd). The distortion varies block by block due to irregular grid.

S = 1 S = 1.5 S = 2.5
Average distance (and sd) between nearest neighbors on the same block (ie. no barrier) 1.0 (0.3) 1.0 (0.3) 1.0 (0.3)
Average distance (and sd) between nearest neighbors on different blocks (ie. one barrier) 3.6 (1.1) 8.0 (1.5) 16.0 (2.3)
Ratio of average distance between nearest neighbors on different blocks compared to same distance when S = 1 - 2.2 (0.4) 4.4 (0.9)