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Table 5 Global Pearson correlations between alternative types of distance

From: The approaches to measuring the potential spatial access to urban health services revisited: distance types and aggregation-error issues

Distance Cartesian system Shortest network time distances
Euclidean Manhattan On foot By car By bicycle By public transit
Distances between census tracts and health services (N) 483,640 483,640 483,640 483,640 483,640 483,640
 Euclidean distance 1.0000      
 Manhattan distance 0.9851 1.0000     
 Shortest network time (on foot) 0.9719 0.9497 1.0000    
 Shortest network time (by car) 0.9416 0.9148 0.9626 1.0000   
 Shortest network time (by bicycle) 0.9457 0.9257 0.9716 0.9517 1.0000  
 Shortest network time (by public transit) 0.7711 0.7512 0.8215 0.7978 0.8029 1.0000
Distances between dissemination areas and health services (N) 3,299,345 3,299,345 3,299,345 3,299,345 3,299,345 3,299,345
 Euclidean distance 1.0000      
 Manhattan distance 0.9842 1.0000     
 Shortest network time (on foot) 0.9696 0.9462 1.0000    
 Shortest network time (by car) 0.9386 0.9101 0.9612 1.0000   
 Shortest network time (by bicycle) 0.9407 0.9194 0.9691 0.9493 1.0000  
 Shortest network time (by public transit) 0.7610 0.7411 0.8115 0.7873 0.7893 1.0000
Distances between blocks and health services (N) 14,512,410 14,512,410 14,512,410 14,512,410 14,512,410 14,512,410
 Euclidean distance 1.0000      
 Manhattan distance 0.9826 1.0000     
 Shortest network time (on foot) 0.9627 0.9373 1.0000    
 Shortest network time (by car) 0.9329 0.9034 0.9594 1.0000   
 Shortest network time (by bicycle) 0.9333 0.9106 0.9641 0.9459 1.0000  
 Shortest network time (by public transit) 0.7377 0.7210 0.7948 0.7635 0.7670 1.0000
Distances between block centroids adjusted with the land use map and health services (N) 14,512,410 14,512,410 14,512,410 14,512,410 14,512,410 14,512,410
 Euclidean distance 1.0000      
 Manhattan distance 0.9826 1.0000     
 Shortest network time (on foot) 0.9627 0.9374 1.0000    
 Shortest network time (by car) 0.9330 0.9036 0.9594 1.0000   
 Shortest network time (by bicycle) 0.9334 0.9106 0.9641 0.9460 1.0000  
 Shortest network time (by public transit) 0.7390 0.7227 0.7958 0.7634 0.7676 1.0000
  1. All coefficient values are significant at the p < 0.0001 level