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

Pantai Indah Kapuk · Jakarta Utara · New town

r = 800 m · 36 bin · Footway coverage 31.5% · moderate

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Pantai Indah Kapuk

Jakarta Utara · New town

A new town on reclaimed land, whose pedestrian network is better mapped than that of most kampung in this set.

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° · 3.5%Drive · 5°–15° · 13.6%Drive · 15°–25° · 2.4%Drive · 25°–35° · 3.7%Drive · 35°–45° · 1.9%Drive · 45°–55° · 0.5%Drive · 55°–65° · 0.3%Drive · 65°–75° · 0.4%Drive · 75°–85° · 0.9%Drive · 85°–95° · 3.3%Drive · 95°–105° · 3.3%Drive · 105°–115° · 2.2%Drive · 115°–125° · 7.0%Drive · 125°–135° · 1.4%Drive · 135°–145° · 0.3%Drive · 145°–155° · 0.4%Drive · 155°–165° · 0.4%Drive · 165°–175° · 4.5%Drive · 175°–185° · 3.5%Drive · 185°–195° · 13.6%Drive · 195°–205° · 2.4%Drive · 205°–215° · 3.7%Drive · 215°–225° · 1.9%Drive · 225°–235° · 0.5%Drive · 235°–245° · 0.3%Drive · 245°–255° · 0.4%Drive · 255°–265° · 0.9%Drive · 265°–275° · 3.3%Drive · 275°–285° · 3.3%Drive · 285°–295° · 2.2%Drive · 295°–305° · 7.0%Drive · 305°–315° · 1.4%Drive · 315°–325° · 0.3%Drive · 325°–335° · 0.4%Drive · 335°–345° · 0.4%Drive · 345°–355° · 4.5%
Drive H 3.080 · φ 0.41
Orientation entropy
3.080nat
H / H max
0.859
φ orientation-order
0.406
Circuity
1.444~264
Average node degree
2.37
Four-way
6.3%
Dead-end
26.6%
Intersection density
68 /km²
Median segment length
26 m
Network length
15.7 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. 264 pairs sampled · 207 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
237
Edges
281
Intersections (degree ≥ 3)
136
Disc area
2.01 km²
Intersection density
68 /km²
Rose weighted length
31.5 km
Per-edge circuity
1.069

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° · 2.6%Walk · 5°–15° · 9.4%Walk · 15°–25° · 2.0%Walk · 25°–35° · 3.1%Walk · 35°–45° · 2.2%Walk · 45°–55° · 5.4%Walk · 55°–65° · 0.9%Walk · 65°–75° · 0.8%Walk · 75°–85° · 0.9%Walk · 85°–95° · 2.7%Walk · 95°–105° · 3.5%Walk · 105°–115° · 2.1%Walk · 115°–125° · 5.6%Walk · 125°–135° · 1.5%Walk · 135°–145° · 2.1%Walk · 145°–155° · 0.8%Walk · 155°–165° · 0.7%Walk · 165°–175° · 3.5%Walk · 175°–185° · 2.6%Walk · 185°–195° · 9.4%Walk · 195°–205° · 2.0%Walk · 205°–215° · 3.1%Walk · 215°–225° · 2.2%Walk · 225°–235° · 5.4%Walk · 235°–245° · 0.9%Walk · 245°–255° · 0.8%Walk · 255°–265° · 0.9%Walk · 265°–275° · 2.7%Walk · 275°–285° · 3.5%Walk · 285°–295° · 2.1%Walk · 295°–305° · 5.6%Walk · 305°–315° · 1.5%Walk · 315°–325° · 2.1%Walk · 325°–335° · 0.8%Walk · 335°–345° · 0.7%Walk · 345°–355° · 3.5%
Walk H 3.330 · φ 0.22
Orientation entropy
3.330nat
H / H max
0.929
φ orientation-order
0.217
Circuity
1.429~183
Average node degree
2.34
Four-way
5.3%
Dead-end
27.9%
Intersection density
101 /km²
Median segment length
27 m
Network length
24.0 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. 183 pairs sampled · 304 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
359
Edges
420
Intersections (degree ≥ 3)
203
Disc area
2.01 km²
Intersection density
101 /km²
Rose weighted length
48.0 km
Per-edge circuity
1.062

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° · 3.5%Drive · 5°–15° · 13.6%Drive · 15°–25° · 2.4%Drive · 25°–35° · 3.7%Drive · 35°–45° · 1.9%Drive · 45°–55° · 0.5%Drive · 55°–65° · 0.3%Drive · 65°–75° · 0.4%Drive · 75°–85° · 0.9%Drive · 85°–95° · 3.3%Drive · 95°–105° · 3.3%Drive · 105°–115° · 2.2%Drive · 115°–125° · 7.0%Drive · 125°–135° · 1.4%Drive · 135°–145° · 0.3%Drive · 145°–155° · 0.4%Drive · 155°–165° · 0.4%Drive · 165°–175° · 4.5%Drive · 175°–185° · 3.5%Drive · 185°–195° · 13.6%Drive · 195°–205° · 2.4%Drive · 205°–215° · 3.7%Drive · 215°–225° · 1.9%Drive · 225°–235° · 0.5%Drive · 235°–245° · 0.3%Drive · 245°–255° · 0.4%Drive · 255°–265° · 0.9%Drive · 265°–275° · 3.3%Drive · 275°–285° · 3.3%Drive · 285°–295° · 2.2%Drive · 295°–305° · 7.0%Drive · 305°–315° · 1.4%Drive · 315°–325° · 0.3%Drive · 325°–335° · 0.4%Drive · 335°–345° · 0.4%Drive · 345°–355° · 4.5%Walk · 355°–5° · 2.6%Walk · 5°–15° · 9.4%Walk · 15°–25° · 2.0%Walk · 25°–35° · 3.1%Walk · 35°–45° · 2.2%Walk · 45°–55° · 5.4%Walk · 55°–65° · 0.9%Walk · 65°–75° · 0.8%Walk · 75°–85° · 0.9%Walk · 85°–95° · 2.7%Walk · 95°–105° · 3.5%Walk · 105°–115° · 2.1%Walk · 115°–125° · 5.6%Walk · 125°–135° · 1.5%Walk · 135°–145° · 2.1%Walk · 145°–155° · 0.8%Walk · 155°–165° · 0.7%Walk · 165°–175° · 3.5%Walk · 175°–185° · 2.6%Walk · 185°–195° · 9.4%Walk · 195°–205° · 2.0%Walk · 205°–215° · 3.1%Walk · 215°–225° · 2.2%Walk · 225°–235° · 5.4%Walk · 235°–245° · 0.9%Walk · 245°–255° · 0.8%Walk · 255°–265° · 0.9%Walk · 265°–275° · 2.7%Walk · 275°–285° · 3.5%Walk · 285°–295° · 2.1%Walk · 295°–305° · 5.6%Walk · 305°–315° · 1.5%Walk · 315°–325° · 2.1%Walk · 325°–335° · 0.8%Walk · 335°–345° · 0.7%Walk · 345°–355° · 3.5%
Drive H 3.080 · φ 0.41Walk H 3.330 · φ 0.22
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
+0.250
H / H max
+0.070
φ orientation-order
−0.189
Circuity
−0.015
Average node degree
−0.03
Four-way
−1.0%
Dead-end
+1.3%
Intersection density
+33
Median segment length
+1
Network length
+8.3

What walking adds

Walk-only length
8.3 km
Share of walking network
34.5%
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 binsPantai Indah Kapuk
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°3.45%2.61%0.11630.0952
015°–15°13.57%9.44%0.27110.2228
0215°–25°2.39%2.03%0.08920.0792
0325°–35°3.72%3.09%0.12260.1076
0435°–45°1.94%2.23%0.07650.0849
0545°–55°0.53%5.41%0.02790.1579
0655°–65°0.28%0.94%0.01650.0439
0765°–75°0.45%0.76%0.02410.0372
0875°–85°0.92%0.93%0.04320.0435
0985°–95°3.32%2.73%0.11310.0983
1095°–105°3.29%3.49%0.11240.1170
11105°–115°2.18%2.11%0.08330.0815
12115°–125°7.03%5.60%0.18660.1613
13125°–135°1.37%1.48%0.05870.0624
14135°–145°0.26%2.11%0.01560.0814
15145°–155°0.37%0.83%0.02050.0398
16155°–165°0.41%0.65%0.02250.0328
17165°–175°4.52%3.55%0.13990.1184
18175°–185°3.45%2.61%0.11630.0952
19185°–195°13.57%9.44%0.27110.2228
20195°–205°2.39%2.03%0.08920.0792
21205°–215°3.72%3.09%0.12260.1076
22215°–225°1.94%2.23%0.07650.0849
23225°–235°0.53%5.41%0.02790.1579
24235°–245°0.28%0.94%0.01650.0439
25245°–255°0.45%0.76%0.02410.0372
26255°–265°0.92%0.93%0.04320.0435
27265°–275°3.32%2.73%0.11310.0983
28275°–285°3.29%3.49%0.11240.1170
29285°–295°2.18%2.11%0.08330.0815
30295°–305°7.03%5.60%0.18660.1613
31305°–315°1.37%1.48%0.05870.0624
32315°–325°0.26%2.11%0.01560.0814
33325°–335°0.37%0.83%0.02050.0398
34335°–345°0.41%0.65%0.02250.0328
35345°–355°4.52%3.55%0.13990.1184
Sum = H3.0803.330

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.