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Table 3 Pearson (\(\rho\)) and Spearman (R) correlation coefficient between centrality measurement of original and simplified networks

From: A road network simplification algorithm that preserves topological properties

Simplification

Davis

Portales

Petaluma

\(C^B\)

\(C^I\)

\(C^B\)

\(C^I\)

\(C^B\)

\(C^I\)

Proposed, with estimation

\(\rho =0.947\) \(R=0.939\)

\(\rho =0.978\) \(R=0.933\)

\(\rho =0.761\) \(R=0.845\)

\(\rho =0.998\) \(R=0.997\)

\(\rho =0.931\) \(R=0.907\)

\(\rho =0.947\) \(R=0.891\)

Proposed

\(\rho =0.916\) \(R=0.895\)

\(\rho =0.928\) \(R=0.893\)

\(\rho =0.735\) \(R=0.831\)

\(\rho =0.980\) \(R=0.964\)

\(\rho =0.869\) \(R=0.837\)

\(\rho =0.897\) \(R=0.833\)

W/o res. roads

\(\rho =0.817\) \(R=0.798\)

\(\rho =0.666\) \(R=0.739\)

\(\rho =0.593\) \(R=0.687\)

\(\rho =0.560\) \(R=0.523\)

\(\rho =0.857\) \(R=0.853\)

\(\rho =0.382\) \(R=0.513\)