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Indonesian street network morphology — the driving network and the walking network, measured separately for the same place.

Gading Serpong · Tangerang · New town

r = 800 m · 36 bin · Footway coverage 1.4% · thin

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Gading Serpong

Tangerang · New town

A new town of boulevard axes with housing pockets behind them.

Read the two columns below as two readings of the same data rather than as a gap that can yet be concluded from. The gang here are not mapped densely enough for that.

Drive

Fig. 1 · r = 800 m The drivable network inside the sampling disc. Uniform ink, no road-class hierarchy, no basemap: the shape is the subject.
NDrive · 355°–5° · 3.6%Drive · 5°–15° · 3.7%Drive · 15°–25° · 9.0%Drive · 25°–35° · 1.7%Drive · 35°–45° · 1.5%Drive · 45°–55° · 1.5%Drive · 55°–65° · 1.8%Drive · 65°–75° · 2.2%Drive · 75°–85° · 1.6%Drive · 85°–95° · 4.8%Drive · 95°–105° · 5.2%Drive · 105°–115° · 8.1%Drive · 115°–125° · 0.9%Drive · 125°–135° · 0.9%Drive · 135°–145° · 1.0%Drive · 145°–155° · 0.9%Drive · 155°–165° · 1.2%Drive · 165°–175° · 0.6%Drive · 175°–185° · 3.6%Drive · 185°–195° · 3.7%Drive · 195°–205° · 9.0%Drive · 205°–215° · 1.7%Drive · 215°–225° · 1.5%Drive · 225°–235° · 1.5%Drive · 235°–245° · 1.8%Drive · 245°–255° · 2.2%Drive · 255°–265° · 1.6%Drive · 265°–275° · 4.8%Drive · 275°–285° · 5.2%Drive · 285°–295° · 8.1%Drive · 295°–305° · 0.9%Drive · 305°–315° · 0.9%Drive · 315°–325° · 1.0%Drive · 325°–335° · 0.9%Drive · 335°–345° · 1.2%Drive · 345°–355° · 0.6%
Drive H 3.264 · φ 0.27
Orientation entropy
3.264nat
H / H max
0.911
φ orientation-order
0.270
Circuity
1.610~450
Average node degree
2.50
Four-way
9.6%
Dead-end
24.7%
Intersection density
240 /km²
Median segment length
34 m
Network length
43.5 km

H is in nats — the natural-log unit of information. That is why its maximum is ln 36 ≈ 3.584 rather than log₂ 36.

Circuity is an estimate: network distance over straight-line distance, averaged across a seeded sample of node pairs rather than across all of them. 450 pairs sampled · 35 pairs unreachable Pairs with no route between them at all are excluded from the mean. A large count means this network is fragmented — a signal about the data, not about the place.

Where these come from

Nodes
738
Edges
924
Intersections (degree ≥ 3)
483
Disc area
2.01 km²
Intersection density
240 /km²
Rose weighted length
86.9 km
Per-edge circuity
1.041

The intermediate values the column above is built from. Intersection density is the intersection count over the disc area; the weighted length is the denominator that turns a rose bar into a share. Two different circuity measures: the per-edge one compares each segment against its own chord, the sampled one compares distances between junctions. The first measures how much streets bend, the second how far out of your way the network takes you.

Walk

Fig. 2 · r = 800 m The walkable network at the same centre, the same disc, the same extract. Every difference from the drawing beside it is the tag mapping, not a different place.
NWalk · 355°–5° · 3.5%Walk · 5°–15° · 3.6%Walk · 15°–25° · 8.3%Walk · 25°–35° · 1.6%Walk · 35°–45° · 1.4%Walk · 45°–55° · 1.6%Walk · 55°–65° · 3.0%Walk · 65°–75° · 2.1%Walk · 75°–85° · 1.6%Walk · 85°–95° · 4.5%Walk · 95°–105° · 5.2%Walk · 105°–115° · 7.5%Walk · 115°–125° · 0.8%Walk · 125°–135° · 0.8%Walk · 135°–145° · 1.1%Walk · 145°–155° · 1.5%Walk · 155°–165° · 1.2%Walk · 165°–175° · 0.6%Walk · 175°–185° · 3.5%Walk · 185°–195° · 3.6%Walk · 195°–205° · 8.3%Walk · 205°–215° · 1.6%Walk · 215°–225° · 1.4%Walk · 225°–235° · 1.6%Walk · 235°–245° · 3.0%Walk · 245°–255° · 2.1%Walk · 255°–265° · 1.6%Walk · 265°–275° · 4.5%Walk · 275°–285° · 5.2%Walk · 285°–295° · 7.5%Walk · 295°–305° · 0.8%Walk · 305°–315° · 0.8%Walk · 315°–325° · 1.1%Walk · 325°–335° · 1.5%Walk · 335°–345° · 1.2%Walk · 345°–355° · 0.6%
Walk H 3.302 · φ 0.24
Orientation entropy
3.302nat
H / H max
0.921
φ orientation-order
0.240
Circuity
1.608~435
Average node degree
2.50
Four-way
10.3%
Dead-end
24.8%
Intersection density
261 /km²
Median segment length
34 m
Network length
47.8 km

H is in nats — the natural-log unit of information. That is why its maximum is ln 36 ≈ 3.584 rather than log₂ 36.

Circuity is an estimate: network distance over straight-line distance, averaged across a seeded sample of node pairs rather than across all of them. 435 pairs sampled · 56 pairs unreachable Pairs with no route between them at all are excluded from the mean. A large count means this network is fragmented — a signal about the data, not about the place.

Where these come from

Nodes
818
Edges
1021
Intersections (degree ≥ 3)
525
Disc area
2.01 km²
Intersection density
261 /km²
Rose weighted length
95.7 km
Per-edge circuity
1.038

The intermediate values the column above is built from. Intersection density is the intersection count over the disc area; the weighted length is the denominator that turns a rose bar into a share. Two different circuity measures: the per-edge one compares each segment against its own chord, the sampled one compares distances between junctions. The first measures how much streets bend, the second how far out of your way the network takes you.

Both roses overlaid

NDrive · 355°–5° · 3.6%Drive · 5°–15° · 3.7%Drive · 15°–25° · 9.0%Drive · 25°–35° · 1.7%Drive · 35°–45° · 1.5%Drive · 45°–55° · 1.5%Drive · 55°–65° · 1.8%Drive · 65°–75° · 2.2%Drive · 75°–85° · 1.6%Drive · 85°–95° · 4.8%Drive · 95°–105° · 5.2%Drive · 105°–115° · 8.1%Drive · 115°–125° · 0.9%Drive · 125°–135° · 0.9%Drive · 135°–145° · 1.0%Drive · 145°–155° · 0.9%Drive · 155°–165° · 1.2%Drive · 165°–175° · 0.6%Drive · 175°–185° · 3.6%Drive · 185°–195° · 3.7%Drive · 195°–205° · 9.0%Drive · 205°–215° · 1.7%Drive · 215°–225° · 1.5%Drive · 225°–235° · 1.5%Drive · 235°–245° · 1.8%Drive · 245°–255° · 2.2%Drive · 255°–265° · 1.6%Drive · 265°–275° · 4.8%Drive · 275°–285° · 5.2%Drive · 285°–295° · 8.1%Drive · 295°–305° · 0.9%Drive · 305°–315° · 0.9%Drive · 315°–325° · 1.0%Drive · 325°–335° · 0.9%Drive · 335°–345° · 1.2%Drive · 345°–355° · 0.6%Walk · 355°–5° · 3.5%Walk · 5°–15° · 3.6%Walk · 15°–25° · 8.3%Walk · 25°–35° · 1.6%Walk · 35°–45° · 1.4%Walk · 45°–55° · 1.6%Walk · 55°–65° · 3.0%Walk · 65°–75° · 2.1%Walk · 75°–85° · 1.6%Walk · 85°–95° · 4.5%Walk · 95°–105° · 5.2%Walk · 105°–115° · 7.5%Walk · 115°–125° · 0.8%Walk · 125°–135° · 0.8%Walk · 135°–145° · 1.1%Walk · 145°–155° · 1.5%Walk · 155°–165° · 1.2%Walk · 165°–175° · 0.6%Walk · 175°–185° · 3.5%Walk · 185°–195° · 3.6%Walk · 195°–205° · 8.3%Walk · 205°–215° · 1.6%Walk · 215°–225° · 1.4%Walk · 225°–235° · 1.6%Walk · 235°–245° · 3.0%Walk · 245°–255° · 2.1%Walk · 255°–265° · 1.6%Walk · 265°–275° · 4.5%Walk · 275°–285° · 5.2%Walk · 285°–295° · 7.5%Walk · 295°–305° · 0.8%Walk · 305°–315° · 0.8%Walk · 315°–325° · 1.1%Walk · 325°–335° · 1.5%Walk · 335°–345° · 1.2%Walk · 345°–355° · 0.6%
Drive H 3.264 · φ 0.27Walk H 3.302 · φ 0.24
Each street segment’s bearing goes into one of 36 bins of 10°, weighted by length: a 500 m road counts ten times a 50 m gang. Bar length is the share of network length running that way, not a count of segments. The rose is always 180°-symmetric, because one segment traversed both ways differs by exactly 180°. Boeing 2019 §3
  • Drive
  • Walk
  • Both

DeltaWalkDrive

Orientation entropy
+0.038
H / H max
+0.011
φ orientation-order
−0.030
Circuity
−0.002
Average node degree
−0.01
Four-way
+0.6%
Dead-end
+0.2%
Intersection density
+21
Median segment length
+1
Network length
+4.4

What walking adds

Walk-only length
4.4 km
Share of walking network
9.2%
Fig. 3 · r = 800 m Ink: the edges that exist only in the walking network. Hairline: the network both modes share. Membership is decided by the tag mapping — an edge counts as walk-only when the OSM way it came from is not admitted to the driving network.
Rose as a table — 36 binsGading Serpong
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°3.56%3.47%0.11870.1166
015°–15°3.67%3.61%0.12120.1199
0215°–25°8.95%8.32%0.21610.2069
0325°–35°1.69%1.58%0.06900.0656
0435°–45°1.52%1.42%0.06350.0606
0545°–55°1.50%1.57%0.06290.0653
0655°–65°1.76%3.02%0.07120.1056
0765°–75°2.18%2.15%0.08350.0825
0875°–85°1.56%1.57%0.06500.0651
0985°–95°4.76%4.52%0.14500.1399
1095°–105°5.24%5.22%0.15460.1541
11105°–115°8.07%7.54%0.20320.1949
12115°–125°0.89%0.80%0.04190.0388
13125°–135°0.86%0.79%0.04100.0382
14135°–145°1.02%1.12%0.04670.0502
15145°–155°0.93%1.54%0.04350.0641
16155°–165°1.22%1.18%0.05360.0522
17165°–175°0.62%0.59%0.03150.0304
18175°–185°3.56%3.47%0.11870.1166
19185°–195°3.67%3.61%0.12120.1199
20195°–205°8.95%8.32%0.21610.2069
21205°–215°1.69%1.58%0.06900.0656
22215°–225°1.52%1.42%0.06350.0606
23225°–235°1.50%1.57%0.06290.0653
24235°–245°1.76%3.02%0.07120.1056
25245°–255°2.18%2.15%0.08350.0825
26255°–265°1.56%1.57%0.06500.0651
27265°–275°4.76%4.52%0.14500.1399
28275°–285°5.24%5.22%0.15460.1541
29285°–295°8.07%7.54%0.20320.1949
30295°–305°0.89%0.80%0.04190.0388
31305°–315°0.86%0.79%0.04100.0382
32315°–325°1.02%1.12%0.04670.0502
33325°–335°0.93%1.54%0.04350.0641
34335°–345°1.22%1.18%0.05360.0522
35345°–355°0.62%0.59%0.03150.0304
Sum = H3.2643.302

The last column is each bin’s term in H = −Σ P(i)·ln P(i). Add the thirty-six of them and you get the H printed under the rose. An empty bin contributes zero.

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Data jalan © OpenStreetMap contributors, ODbL 1.0. Basis data turunan ini ditawarkan dengan lisensi yang sama. · Boeing, G. 2019. Urban Spatial Order: Street Network Orientation, Configuration, and Entropy. Applied Network Science 4(1):67.