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

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)