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

Singkawang Tengah · Singkawang · Kampung kota

r = 800 m · 36 bin · Footway coverage 15.4% · moderate

Singkawang Tengah

Singkawang · Kampung kota

The centre of Singkawang, threaded with named gang — Bunga, Sukses, Sederhana, Khatulistiwa — between residential streets several times their length.

Drive

40.1 km · 199 intersections/km²

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° · 1.9%Drive · 5°–15° · 0.7%Drive · 15°–25° · 1.3%Drive · 25°–35° · 9.4%Drive · 35°–45° · 8.1%Drive · 45°–55° · 1.2%Drive · 55°–65° · 0.6%Drive · 65°–75° · 0.9%Drive · 75°–85° · 1.0%Drive · 85°–95° · 2.2%Drive · 95°–105° · 0.6%Drive · 105°–115° · 1.6%Drive · 115°–125° · 8.8%Drive · 125°–135° · 7.8%Drive · 135°–145° · 1.2%Drive · 145°–155° · 0.7%Drive · 155°–165° · 0.9%Drive · 165°–175° · 1.2%Drive · 175°–185° · 1.9%Drive · 185°–195° · 0.7%Drive · 195°–205° · 1.3%Drive · 205°–215° · 9.4%Drive · 215°–225° · 8.1%Drive · 225°–235° · 1.2%Drive · 235°–245° · 0.6%Drive · 245°–255° · 0.9%Drive · 255°–265° · 1.0%Drive · 265°–275° · 2.2%Drive · 275°–285° · 0.6%Drive · 285°–295° · 1.6%Drive · 295°–305° · 8.8%Drive · 305°–315° · 7.8%Drive · 315°–325° · 1.2%Drive · 325°–335° · 0.7%Drive · 335°–345° · 0.9%Drive · 345°–355° · 1.2%
Drive H 3.075 · φ 0.41

Walk

47.8 km · 224 intersections/km²

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° · 0.6%Walk · 15°–25° · 1.4%Walk · 25°–35° · 9.6%Walk · 35°–45° · 8.6%Walk · 45°–55° · 1.0%Walk · 55°–65° · 0.6%Walk · 65°–75° · 0.9%Walk · 75°–85° · 0.9%Walk · 85°–95° · 2.5%Walk · 95°–105° · 0.6%Walk · 105°–115° · 1.6%Walk · 115°–125° · 8.7%Walk · 125°–135° · 6.7%Walk · 135°–145° · 1.0%Walk · 145°–155° · 0.7%Walk · 155°–165° · 0.8%Walk · 165°–175° · 1.1%Walk · 175°–185° · 2.6%Walk · 185°–195° · 0.6%Walk · 195°–205° · 1.4%Walk · 205°–215° · 9.6%Walk · 215°–225° · 8.6%Walk · 225°–235° · 1.0%Walk · 235°–245° · 0.6%Walk · 245°–255° · 0.9%Walk · 255°–265° · 0.9%Walk · 265°–275° · 2.5%Walk · 275°–285° · 0.6%Walk · 285°–295° · 1.6%Walk · 295°–305° · 8.7%Walk · 305°–315° · 6.7%Walk · 315°–325° · 1.0%Walk · 325°–335° · 0.7%Walk · 335°–345° · 0.8%Walk · 345°–355° · 1.1%
Walk H 3.073 · φ 0.41

Delta

+7.7

km of network reachable only on foot · 16.1% of the walking network

+25
intersections per km²
+7.8%
Dead-end
−0.002
ΔH · orientation entropy

Both roses overlaid

NWalk · 355°–5° · 2.6%Walk · 5°–15° · 0.6%Walk · 15°–25° · 1.4%Walk · 25°–35° · 9.6%Walk · 35°–45° · 8.6%Walk · 45°–55° · 1.0%Walk · 55°–65° · 0.6%Walk · 65°–75° · 0.9%Walk · 75°–85° · 0.9%Walk · 85°–95° · 2.5%Walk · 95°–105° · 0.6%Walk · 105°–115° · 1.6%Walk · 115°–125° · 8.7%Walk · 125°–135° · 6.7%Walk · 135°–145° · 1.0%Walk · 145°–155° · 0.7%Walk · 155°–165° · 0.8%Walk · 165°–175° · 1.1%Walk · 175°–185° · 2.6%Walk · 185°–195° · 0.6%Walk · 195°–205° · 1.4%Walk · 205°–215° · 9.6%Walk · 215°–225° · 8.6%Walk · 225°–235° · 1.0%Walk · 235°–245° · 0.6%Walk · 245°–255° · 0.9%Walk · 255°–265° · 0.9%Walk · 265°–275° · 2.5%Walk · 275°–285° · 0.6%Walk · 285°–295° · 1.6%Walk · 295°–305° · 8.7%Walk · 305°–315° · 6.7%Walk · 315°–325° · 1.0%Walk · 325°–335° · 0.7%Walk · 335°–345° · 0.8%Walk · 345°–355° · 1.1%Drive · 355°–5° · 1.9%Drive · 5°–15° · 0.7%Drive · 15°–25° · 1.3%Drive · 25°–35° · 9.4%Drive · 35°–45° · 8.1%Drive · 45°–55° · 1.2%Drive · 55°–65° · 0.6%Drive · 65°–75° · 0.9%Drive · 75°–85° · 1.0%Drive · 85°–95° · 2.2%Drive · 95°–105° · 0.6%Drive · 105°–115° · 1.6%Drive · 115°–125° · 8.8%Drive · 125°–135° · 7.8%Drive · 135°–145° · 1.2%Drive · 145°–155° · 0.7%Drive · 155°–165° · 0.9%Drive · 165°–175° · 1.2%Drive · 175°–185° · 1.9%Drive · 185°–195° · 0.7%Drive · 195°–205° · 1.3%Drive · 205°–215° · 9.4%Drive · 215°–225° · 8.1%Drive · 225°–235° · 1.2%Drive · 235°–245° · 0.6%Drive · 245°–255° · 0.9%Drive · 255°–265° · 1.0%Drive · 265°–275° · 2.2%Drive · 275°–285° · 0.6%Drive · 285°–295° · 1.6%Drive · 295°–305° · 8.8%Drive · 305°–315° · 7.8%Drive · 315°–325° · 1.2%Drive · 325°–335° · 0.7%Drive · 335°–345° · 0.9%Drive · 345°–355° · 1.2%
Drive H 3.075 · φ 0.41Walk H 3.073 · φ 0.41
  • Drive
  • Walk
  • Both

Two readings, one table

Hairlines: every site in the set, both modes. Marks: this site. A position, not a value — neither end is better.

Singkawang Tengah: driving and walking network metrics, their difference, and their position among 33 sites.
MetricDriveWalkDeltaPosition among 33 sites
Orientation entropynat3.0753.073−0.002Drive: position 14 of 33; Walk: position 13 of 33, when the set is sorted by this metric, smallest first.
H / H max0.8580.858−0.001Drive: position 14 of 33; Walk: position 13 of 33, when the set is sorted by this metric, smallest first.
φ orientation-order0.4090.410+0.001Drive: position 20 of 33; Walk: position 21 of 33, when the set is sorted by this metric, smallest first.
Circuitysampled1.3951.430+0.036Drive: position 6 of 33; Walk: position 14 of 33, when the set is sorted by this metric, smallest first.
Average node degree2.282.12−0.16Drive: position 15 of 33; Walk: position 1 of 33, when the set is sorted by this metric, smallest first.
Four-way5.9%7.1%+1.2%Drive: position 21 of 33; Walk: position 17 of 33, when the set is sorted by this metric, smallest first.
Dead-end35.9%43.7%+7.8%Drive: position 28 of 33; Walk: position 32 of 33, when the set is sorted by this metric, smallest first.
Intersection density199 /km²224 /km²+25 /km²Drive: position 26 of 33; Walk: position 16 of 33, when the set is sorted by this metric, smallest first.
Median segment length43 m40 m−3 mDrive: position 24 of 33; Walk: position 24 of 33, when the set is sorted by this metric, smallest first.
Network length40.1 km47.8 km+7.7 kmDrive: position 24 of 33; Walk: position 17 of 33, when the set is sorted by this metric, smallest first.

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. Drive: 452 pairs sampled · 39 pairs unreachable.Walk: 332 pairs sampled · 162 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.

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

Fig. 3 · r = 800 m

What walking adds

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.
Walk-only length
7.7 km
Share of walking network
16.1%

Where these numbers come from

Drive

Nodes
694
Edges
790
Intersections (degree ≥ 3)
400
Disc area
2.01 km²
Intersection density
199 /km²
Rose weighted length
80.3 km
Per-edge circuity
1.034

Walk

Nodes
934
Edges
988
Intersections (degree ≥ 3)
450
Disc area
2.01 km²
Intersection density
224 /km²
Rose weighted length
95.7 km
Per-edge circuity
1.040

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.

Rose as a table — 36 bins — Singkawang Tengah
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°1.89%2.58%0.07500.0945
015°–15°0.65%0.60%0.03280.0308
0215°–25°1.30%1.44%0.05650.0612
0325°–35°9.40%9.63%0.22230.2254
0435°–45°8.13%8.60%0.20400.2109
0545°–55°1.17%1.03%0.05190.0472
0655°–65°0.64%0.56%0.03250.0291
0765°–75°0.88%0.91%0.04150.0428
0875°–85°0.95%0.89%0.04430.0420
0985°–95°2.18%2.50%0.08330.0923
1095°–105°0.61%0.63%0.03120.0321
11105°–115°1.64%1.56%0.06750.0649
12115°–125°8.83%8.74%0.21430.2131
13125°–135°7.76%6.68%0.19840.1808
14135°–145°1.18%1.04%0.05260.0474
15145°–155°0.74%0.67%0.03640.0336
16155°–165°0.88%0.77%0.04160.0376
17165°–175°1.16%1.14%0.05170.0511
18175°–185°1.89%2.58%0.07500.0945
19185°–195°0.65%0.60%0.03280.0308
20195°–205°1.30%1.44%0.05650.0612
21205°–215°9.40%9.63%0.22230.2254
22215°–225°8.13%8.60%0.20400.2109
23225°–235°1.17%1.03%0.05190.0472
24235°–245°0.64%0.56%0.03250.0291
25245°–255°0.88%0.91%0.04150.0428
26255°–265°0.95%0.89%0.04430.0420
27265°–275°2.18%2.50%0.08330.0923
28275°–285°0.61%0.63%0.03120.0321
29285°–295°1.64%1.56%0.06750.0649
30295°–305°8.83%8.74%0.21430.2131
31305°–315°7.76%6.68%0.19840.1808
32315°–325°1.18%1.04%0.05260.0474
33325°–335°0.74%0.67%0.03640.0336
34335°–345°0.88%0.77%0.04160.0376
35345°–355°1.16%1.14%0.05170.0511
Sum = H3.0753.073

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.

Download this site’s data (JSON, ODbL)

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.