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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