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

Sanur Kaja · Denpasar · Kampung kota

r = 800 m · 36 bin · Footway coverage 30.5% · moderate

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Sanur Kaja

Denpasar · Kampung kota

The northern side of Sanur, behind Jalan Danau Tamblingan. Its network is dominated by living street — compound lanes shared between vehicles and people on foot.

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° · 7.3%Drive · 5°–15° · 4.0%Drive · 15°–25° · 3.0%Drive · 25°–35° · 1.1%Drive · 35°–45° · 0.7%Drive · 45°–55° · 0.2%Drive · 55°–65° · 0.5%Drive · 65°–75° · 2.0%Drive · 75°–85° · 6.5%Drive · 85°–95° · 9.7%Drive · 95°–105° · 2.8%Drive · 105°–115° · 0.8%Drive · 115°–125° · 0.8%Drive · 125°–135° · 0.4%Drive · 135°–145° · 0.5%Drive · 145°–155° · 3.0%Drive · 155°–165° · 3.6%Drive · 165°–175° · 3.1%Drive · 175°–185° · 7.3%Drive · 185°–195° · 4.0%Drive · 195°–205° · 3.0%Drive · 205°–215° · 1.1%Drive · 215°–225° · 0.7%Drive · 225°–235° · 0.2%Drive · 235°–245° · 0.5%Drive · 245°–255° · 2.0%Drive · 255°–265° · 6.5%Drive · 265°–275° · 9.7%Drive · 275°–285° · 2.8%Drive · 285°–295° · 0.8%Drive · 295°–305° · 0.8%Drive · 305°–315° · 0.4%Drive · 315°–325° · 0.5%Drive · 325°–335° · 3.0%Drive · 335°–345° · 3.6%Drive · 345°–355° · 3.1%
Drive H 3.183 · φ 0.33
Orientation entropy
3.183nat
H / H max
0.888
φ orientation-order
0.331
Circuity
1.411~351
Average node degree
2.25
Four-way
5.2%
Dead-end
33.7%
Intersection density
93 /km²
Median segment length
29 m
Network length
17.4 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. 351 pairs sampled · 128 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
347
Edges
391
Intersections (degree ≥ 3)
187
Disc area
2.01 km²
Intersection density
93 /km²
Rose weighted length
34.7 km
Per-edge circuity
1.067

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° · 7.2%Walk · 5°–15° · 4.3%Walk · 15°–25° · 3.3%Walk · 25°–35° · 1.1%Walk · 35°–45° · 0.6%Walk · 45°–55° · 0.3%Walk · 55°–65° · 0.7%Walk · 65°–75° · 1.9%Walk · 75°–85° · 5.3%Walk · 85°–95° · 8.5%Walk · 95°–105° · 3.5%Walk · 105°–115° · 2.1%Walk · 115°–125° · 0.9%Walk · 125°–135° · 0.6%Walk · 135°–145° · 0.6%Walk · 145°–155° · 2.6%Walk · 155°–165° · 3.1%Walk · 165°–175° · 3.5%Walk · 175°–185° · 7.2%Walk · 185°–195° · 4.3%Walk · 195°–205° · 3.3%Walk · 205°–215° · 1.1%Walk · 215°–225° · 0.6%Walk · 225°–235° · 0.3%Walk · 235°–245° · 0.7%Walk · 245°–255° · 1.9%Walk · 255°–265° · 5.3%Walk · 265°–275° · 8.5%Walk · 275°–285° · 3.5%Walk · 285°–295° · 2.1%Walk · 295°–305° · 0.9%Walk · 305°–315° · 0.6%Walk · 315°–325° · 0.6%Walk · 325°–335° · 2.6%Walk · 335°–345° · 3.1%Walk · 345°–355° · 3.5%
Walk H 3.259 · φ 0.27
Orientation entropy
3.259nat
H / H max
0.909
φ orientation-order
0.273
Circuity
1.578~375
Average node degree
2.38
Four-way
8.1%
Dead-end
30.3%
Intersection density
161 /km²
Median segment length
29 m
Network length
27.3 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. 375 pairs sampled · 108 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
542
Edges
644
Intersections (degree ≥ 3)
324
Disc area
2.01 km²
Intersection density
161 /km²
Rose weighted length
54.6 km
Per-edge circuity
1.073

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° · 7.3%Drive · 5°–15° · 4.0%Drive · 15°–25° · 3.0%Drive · 25°–35° · 1.1%Drive · 35°–45° · 0.7%Drive · 45°–55° · 0.2%Drive · 55°–65° · 0.5%Drive · 65°–75° · 2.0%Drive · 75°–85° · 6.5%Drive · 85°–95° · 9.7%Drive · 95°–105° · 2.8%Drive · 105°–115° · 0.8%Drive · 115°–125° · 0.8%Drive · 125°–135° · 0.4%Drive · 135°–145° · 0.5%Drive · 145°–155° · 3.0%Drive · 155°–165° · 3.6%Drive · 165°–175° · 3.1%Drive · 175°–185° · 7.3%Drive · 185°–195° · 4.0%Drive · 195°–205° · 3.0%Drive · 205°–215° · 1.1%Drive · 215°–225° · 0.7%Drive · 225°–235° · 0.2%Drive · 235°–245° · 0.5%Drive · 245°–255° · 2.0%Drive · 255°–265° · 6.5%Drive · 265°–275° · 9.7%Drive · 275°–285° · 2.8%Drive · 285°–295° · 0.8%Drive · 295°–305° · 0.8%Drive · 305°–315° · 0.4%Drive · 315°–325° · 0.5%Drive · 325°–335° · 3.0%Drive · 335°–345° · 3.6%Drive · 345°–355° · 3.1%Walk · 355°–5° · 7.2%Walk · 5°–15° · 4.3%Walk · 15°–25° · 3.3%Walk · 25°–35° · 1.1%Walk · 35°–45° · 0.6%Walk · 45°–55° · 0.3%Walk · 55°–65° · 0.7%Walk · 65°–75° · 1.9%Walk · 75°–85° · 5.3%Walk · 85°–95° · 8.5%Walk · 95°–105° · 3.5%Walk · 105°–115° · 2.1%Walk · 115°–125° · 0.9%Walk · 125°–135° · 0.6%Walk · 135°–145° · 0.6%Walk · 145°–155° · 2.6%Walk · 155°–165° · 3.1%Walk · 165°–175° · 3.5%Walk · 175°–185° · 7.2%Walk · 185°–195° · 4.3%Walk · 195°–205° · 3.3%Walk · 205°–215° · 1.1%Walk · 215°–225° · 0.6%Walk · 225°–235° · 0.3%Walk · 235°–245° · 0.7%Walk · 245°–255° · 1.9%Walk · 255°–265° · 5.3%Walk · 265°–275° · 8.5%Walk · 275°–285° · 3.5%Walk · 285°–295° · 2.1%Walk · 295°–305° · 0.9%Walk · 305°–315° · 0.6%Walk · 315°–325° · 0.6%Walk · 325°–335° · 2.6%Walk · 335°–345° · 3.1%Walk · 345°–355° · 3.5%
Drive H 3.183 · φ 0.33Walk H 3.259 · φ 0.27
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
+0.076
H / H max
+0.021
φ orientation-order
−0.058
Circuity
+0.167
Average node degree
+0.12
Four-way
+2.9%
Dead-end
−3.5%
Intersection density
+68
Median segment length
+0
Network length
+9.9

What walking adds

Walk-only length
10.1 km
Share of walking network
37.0%
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 binsSanur Kaja
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°7.30%7.16%0.19110.1887
015°–15°4.00%4.33%0.12880.1359
0215°–25°3.05%3.26%0.10640.1116
0325°–35°1.07%1.07%0.04860.0485
0435°–45°0.70%0.62%0.03460.0316
0545°–55°0.24%0.34%0.01460.0194
0655°–65°0.53%0.68%0.02780.0339
0765°–75°2.04%1.92%0.07930.0759
0875°–85°6.48%5.30%0.17730.1556
0985°–95°9.66%8.52%0.22580.2098
1095°–105°2.76%3.54%0.09900.1183
11105°–115°0.83%2.08%0.03980.0806
12115°–125°0.80%0.92%0.03860.0431
13125°–135°0.43%0.56%0.02340.0288
14135°–145°0.48%0.57%0.02550.0293
15145°–155°2.99%2.55%0.10490.0937
16155°–165°3.58%3.08%0.11920.1072
17165°–175°3.06%3.51%0.10680.1176
18175°–185°7.30%7.16%0.19110.1887
19185°–195°4.00%4.33%0.12880.1359
20195°–205°3.05%3.26%0.10640.1116
21205°–215°1.07%1.07%0.04860.0485
22215°–225°0.70%0.62%0.03460.0316
23225°–235°0.24%0.34%0.01460.0194
24235°–245°0.53%0.68%0.02780.0339
25245°–255°2.04%1.92%0.07930.0759
26255°–265°6.48%5.30%0.17730.1556
27265°–275°9.66%8.52%0.22580.2098
28275°–285°2.76%3.54%0.09900.1183
29285°–295°0.83%2.08%0.03980.0806
30295°–305°0.80%0.92%0.03860.0431
31305°–315°0.43%0.56%0.02340.0288
32315°–325°0.48%0.57%0.02550.0293
33325°–335°2.99%2.55%0.10490.0937
34335°–345°3.58%3.08%0.11920.1072
35345°–355°3.06%3.51%0.10680.1176
Sum = H3.1833.259

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.