Skip to content

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

Gapuk Utara · Mataram · Kampung kota

r = 800 m · 36 bin · Footway coverage 18.0% · moderate

Gapuk Utara

Mataram · Kampung kota

Dense settlement in central Mataram, carrying far more residential street than anywhere else in this set.

Drive

41.2 km · 186 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° · 3.0%Drive · 5°–15° · 10.6%Drive · 15°–25° · 4.1%Drive · 25°–35° · 1.4%Drive · 35°–45° · 0.7%Drive · 45°–55° · 0.4%Drive · 55°–65° · 1.0%Drive · 65°–75° · 1.8%Drive · 75°–85° · 1.3%Drive · 85°–95° · 3.0%Drive · 95°–105° · 13.5%Drive · 105°–115° · 4.2%Drive · 115°–125° · 1.7%Drive · 125°–135° · 0.8%Drive · 135°–145° · 0.4%Drive · 145°–155° · 0.4%Drive · 155°–165° · 0.5%Drive · 165°–175° · 1.0%Drive · 175°–185° · 3.0%Drive · 185°–195° · 10.6%Drive · 195°–205° · 4.1%Drive · 205°–215° · 1.4%Drive · 215°–225° · 0.7%Drive · 225°–235° · 0.4%Drive · 235°–245° · 1.0%Drive · 245°–255° · 1.8%Drive · 255°–265° · 1.3%Drive · 265°–275° · 3.0%Drive · 275°–285° · 13.5%Drive · 285°–295° · 4.2%Drive · 295°–305° · 1.7%Drive · 305°–315° · 0.8%Drive · 315°–325° · 0.4%Drive · 325°–335° · 0.4%Drive · 335°–345° · 0.5%Drive · 345°–355° · 1.0%
Drive H 3.009 · φ 0.45

Walk

50.7 km · 268 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° · 3.2%Walk · 5°–15° · 10.2%Walk · 15°–25° · 4.4%Walk · 25°–35° · 1.3%Walk · 35°–45° · 0.6%Walk · 45°–55° · 0.4%Walk · 55°–65° · 0.9%Walk · 65°–75° · 1.8%Walk · 75°–85° · 1.3%Walk · 85°–95° · 3.2%Walk · 95°–105° · 12.8%Walk · 105°–115° · 4.9%Walk · 115°–125° · 1.6%Walk · 125°–135° · 0.7%Walk · 135°–145° · 0.4%Walk · 145°–155° · 0.4%Walk · 155°–165° · 0.7%Walk · 165°–175° · 1.3%Walk · 175°–185° · 3.2%Walk · 185°–195° · 10.2%Walk · 195°–205° · 4.4%Walk · 205°–215° · 1.3%Walk · 215°–225° · 0.6%Walk · 225°–235° · 0.4%Walk · 235°–245° · 0.9%Walk · 245°–255° · 1.8%Walk · 255°–265° · 1.3%Walk · 265°–275° · 3.2%Walk · 275°–285° · 12.8%Walk · 285°–295° · 4.9%Walk · 295°–305° · 1.6%Walk · 305°–315° · 0.7%Walk · 315°–325° · 0.4%Walk · 325°–335° · 0.4%Walk · 335°–345° · 0.7%Walk · 345°–355° · 1.3%
Walk H 3.029 · φ 0.44

Delta

+9.5

km of network reachable only on foot · 18.8% of the walking network

+82
intersections per km²
−6.4%
Dead-end
+0.019
ΔH · orientation entropy

Both roses overlaid

NDrive · 355°–5° · 3.0%Drive · 5°–15° · 10.6%Drive · 15°–25° · 4.1%Drive · 25°–35° · 1.4%Drive · 35°–45° · 0.7%Drive · 45°–55° · 0.4%Drive · 55°–65° · 1.0%Drive · 65°–75° · 1.8%Drive · 75°–85° · 1.3%Drive · 85°–95° · 3.0%Drive · 95°–105° · 13.5%Drive · 105°–115° · 4.2%Drive · 115°–125° · 1.7%Drive · 125°–135° · 0.8%Drive · 135°–145° · 0.4%Drive · 145°–155° · 0.4%Drive · 155°–165° · 0.5%Drive · 165°–175° · 1.0%Drive · 175°–185° · 3.0%Drive · 185°–195° · 10.6%Drive · 195°–205° · 4.1%Drive · 205°–215° · 1.4%Drive · 215°–225° · 0.7%Drive · 225°–235° · 0.4%Drive · 235°–245° · 1.0%Drive · 245°–255° · 1.8%Drive · 255°–265° · 1.3%Drive · 265°–275° · 3.0%Drive · 275°–285° · 13.5%Drive · 285°–295° · 4.2%Drive · 295°–305° · 1.7%Drive · 305°–315° · 0.8%Drive · 315°–325° · 0.4%Drive · 325°–335° · 0.4%Drive · 335°–345° · 0.5%Drive · 345°–355° · 1.0%Walk · 355°–5° · 3.2%Walk · 5°–15° · 10.2%Walk · 15°–25° · 4.4%Walk · 25°–35° · 1.3%Walk · 35°–45° · 0.6%Walk · 45°–55° · 0.4%Walk · 55°–65° · 0.9%Walk · 65°–75° · 1.8%Walk · 75°–85° · 1.3%Walk · 85°–95° · 3.2%Walk · 95°–105° · 12.8%Walk · 105°–115° · 4.9%Walk · 115°–125° · 1.6%Walk · 125°–135° · 0.7%Walk · 135°–145° · 0.4%Walk · 145°–155° · 0.4%Walk · 155°–165° · 0.7%Walk · 165°–175° · 1.3%Walk · 175°–185° · 3.2%Walk · 185°–195° · 10.2%Walk · 195°–205° · 4.4%Walk · 205°–215° · 1.3%Walk · 215°–225° · 0.6%Walk · 225°–235° · 0.4%Walk · 235°–245° · 0.9%Walk · 245°–255° · 1.8%Walk · 255°–265° · 1.3%Walk · 265°–275° · 3.2%Walk · 275°–285° · 12.8%Walk · 285°–295° · 4.9%Walk · 295°–305° · 1.6%Walk · 305°–315° · 0.7%Walk · 315°–325° · 0.4%Walk · 325°–335° · 0.4%Walk · 335°–345° · 0.7%Walk · 345°–355° · 1.3%
Drive H 3.009 · φ 0.45Walk H 3.029 · φ 0.44
  • 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.

Gapuk Utara: driving and walking network metrics, their difference, and their position among 33 sites.
MetricDriveWalkDeltaPosition among 33 sites
Orientation entropynat3.0093.029+0.019Drive: position 10 of 33; Walk: position 11 of 33, when the set is sorted by this metric, smallest first.
H / H max0.8400.845+0.005Drive: position 10 of 33; Walk: position 11 of 33, when the set is sorted by this metric, smallest first.
φ orientation-order0.4540.441−0.013Drive: position 24 of 33; Walk: position 23 of 33, when the set is sorted by this metric, smallest first.
Circuitysampled1.5811.559−0.022Drive: position 20 of 33; Walk: position 24 of 33, when the set is sorted by this metric, smallest first.
Average node degree2.282.42+0.14Drive: position 16 of 33; Walk: position 18 of 33, when the set is sorted by this metric, smallest first.
Four-way4.6%5.8%+1.2%Drive: position 14 of 33; Walk: position 11 of 33, when the set is sorted by this metric, smallest first.
Dead-end34.1%27.7%−6.4%Drive: position 23 of 33; Walk: position 21 of 33, when the set is sorted by this metric, smallest first.
Intersection density186 /km²268 /km²+82 /km²Drive: position 22 of 33; Walk: position 20 of 33, when the set is sorted by this metric, smallest first.
Median segment length45 m42 m−2 mDrive: position 27 of 33; Walk: position 26 of 33, when the set is sorted by this metric, smallest first.
Network length41.2 km50.7 km+9.5 kmDrive: position 25 of 33; Walk: position 21 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: 421 pairs sampled · 74 pairs unreachable.Walk: 453 pairs sampled · 34 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
9.5 km
Share of walking network
18.8%

Where these numbers come from

Drive

Nodes
651
Edges
742
Intersections (degree ≥ 3)
374
Disc area
2.01 km²
Intersection density
186 /km²
Rose weighted length
82.3 km
Per-edge circuity
1.036

Walk

Nodes
840
Edges
1017
Intersections (degree ≥ 3)
538
Disc area
2.01 km²
Intersection density
268 /km²
Rose weighted length
101.4 km
Per-edge circuity
1.037

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 — Gapuk Utara
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°3.01%3.21%0.10540.1104
015°–15°10.62%10.16%0.23810.2324
0215°–25°4.14%4.38%0.13180.1370
0325°–35°1.44%1.35%0.06110.0581
0435°–45°0.70%0.60%0.03460.0309
0545°–55°0.38%0.39%0.02130.0216
0655°–65°1.03%0.89%0.04700.0419
0765°–75°1.79%1.76%0.07220.0710
0875°–85°1.30%1.32%0.05660.0571
0985°–95°2.99%3.15%0.10500.1090
1095°–105°13.55%12.84%0.27080.2636
11105°–115°4.17%4.92%0.13250.1481
12115°–125°1.70%1.60%0.06920.0661
13125°–135°0.82%0.72%0.03960.0354
14135°–145°0.43%0.38%0.02340.0212
15145°–155°0.41%0.36%0.02270.0202
16155°–165°0.55%0.70%0.02850.0346
17165°–175°0.96%1.28%0.04470.0558
18175°–185°3.01%3.21%0.10540.1104
19185°–195°10.62%10.16%0.23810.2324
20195°–205°4.14%4.38%0.13180.1370
21205°–215°1.44%1.35%0.06110.0581
22215°–225°0.70%0.60%0.03460.0309
23225°–235°0.38%0.39%0.02130.0216
24235°–245°1.03%0.89%0.04700.0419
25245°–255°1.79%1.76%0.07220.0710
26255°–265°1.30%1.32%0.05660.0571
27265°–275°2.99%3.15%0.10500.1090
28275°–285°13.55%12.84%0.27080.2636
29285°–295°4.17%4.92%0.13250.1481
30295°–305°1.70%1.60%0.06920.0661
31305°–315°0.82%0.72%0.03960.0354
32315°–325°0.43%0.38%0.02340.0212
33325°–335°0.41%0.36%0.02270.0202
34335°–345°0.55%0.70%0.02850.0346
35345°–355°0.96%1.28%0.04470.0558
Sum = H3.0093.029

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.