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Table 2 Mean and standard deviation (SD) of intensity of intersections, public transit stations, and public open spaces in the neighborhood of 400 children depending on network-distance and intensity measures that were used for assessment

From: Assessing opportunities for physical activity in the built environment of children: interrelation between kernel density and neighborhood scale

Mean (SD) Network-distances      
500 m 750 m 1 km 1.25 km 1.5 km 2 km
Intensity measures
 Intersections       
 Simple intensity 70.0
(26.3)
66.0
(20.5)
68.1
(16.8)
62.5
(16.4)
61.2
(15.8)
58.9
(14.5)
 Fixed BW \(\sigma _f\) 59.8
(16.2)
59.2
(15.9)
59.4
(15.2)
58.3
(15.0)
57.7
(14.6)
56.6
(13.7)
 Fixed and adaptive BW \(\tilde{\sigma }_f\) 62.4
(18.4)
61.6
(16.9)
61.7
(15.4)
60.6
(14.2)
60.3
(13.2)
59.5
(11.4)
 MSE CV \(\sigma _{CV}\) 65.7
(21.4)
63.4
(18.5)
64.0
(16.2)
60.9
(15.8)
59.9
(15.2)
58.2
(14.4)
 MSE CV and adaptive \(\tilde{\sigma }_{CV}\) 66.6
(21.8)
64.6
(18.0)
65.1
(15.8)
63.1
(14.5)
62.4
(13.6)
61.4
(12.0)
 Anisotropic CV \(\Sigma _{lscv}\) 59.3
(16.0)
58.8
(15.7)
59.0
(15.0)
58.0
(14.8)
57.5
(14.4)
56.4
(13.5)
 Anisotropic CV and adaptive \(\tilde{\Sigma }_{lscv}\) 62.1
(18.3)
61.3
(16.8)
61.4
(15.4)
60.4
(14.2)
60.0
(13.1)
59.2
(11.4)
Public transit stations
 Simple intensity 5.8
(3.3)
5.5
(2.4)
5.7
(2.0)
5.0
(1.7)
4.9
(1.6)
4.6
(1.3)
 Fixed BW \(\sigma _f\) 4.6
(1.5)
4.6
(1.5)
4.6
(1.4)
4.5
(1.4)
4.5
(1.3)
4.3
(1.2)
 Fixed and adaptive BW \(\tilde{\sigma }_f\) 4.9
(1.6)
4.8
(1.5)
4.9
(1.4)
4.8
(1.3)
4.7
(1.2)
4.7
(1.0)
 MSE CV \(\sigma _{CV}\) 4.7
(1.6)
4.6
(1.5)
4.7
(1.5)
4.5
(1.4)
4.5
(1.3)
4.4
(1.2)
 MSE CV and adaptive \(\tilde{\sigma }_{CV}\) 4.9
(1.7)
4.9
(1.5)
4.9
(1.4)
4.8
(1.3)
4.8
(1.2)
4.7
(1.0)
 Anisotropic CV \(\Sigma _{lscv}\) 4.4
(1.4)
4.3
(1.4)
4.4
(1.3)
4.3
(1.3)
4.3
(1.3)
4.2
(1.1)
 Anisotropic CV and adaptive \(\tilde{\Sigma }_{lscv}\) 4.7
(1.5)
4.6
(1.4)
4.7
(1.3)
4.6
(1.2)
4.6
(1.1)
4.5
(0.9)
Public open spaces
 Simple intensity 4.9
(4.2)
4.2
(2.8)
4.4
(2.2)
4.0
(1.6)
3.9
(1.4)
3.7
(1.1)
 Fixed BW \(\sigma _f\) 4.1
(1.5)
4.1
(1.4)
4.1
(1.3)
4.0
(1.2)
3.9
(1.1)
3.8
(0.9)
 Fixed BW and adaptive \(\tilde{\sigma }_f\) 4.6
(2.2)
4.4
(1.8)
4.4
(1.5)
4.3
(1.2)
4.3
(1.1)
4.2
(0.8)
 MSE CV \(\sigma _{CV}\) 4.5
(2.2)
4.3
(1.9)
4.3
(1.6)
4.1
(1.4)
4.0
(1.3)
3.9
(1.0)
 MSE CV and adaptive \(\tilde{\sigma }_{CV}\) 4.9
(2.9)
4.7
(2.1)
4.6
(1.7)
4.5
(1.3)
4.4
(1.1)
4.3
(0.8)
 Anisotropic CV \(\Sigma _{lscv}\) 3.9
(1.2)
3.9
(1.2)
3.9
(1.1)
3.8
(1.0)
3.8
(1.0)
3.7
(0.9)
 Anisotropic CV and adaptive \(\tilde{\Sigma }_{lscv}\) 4.3
(1.8)
4.3
(1.5)
4.2
(1.3)
4.2
(1.2)
4.1
(1.0)
4.1
(0.8)
  1. BW bandwidth, MSE mean-square error, CV cross-validation