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

Gadang · Banjarmasin · Kampung kota

r = 800 m · 36 bin · Footway coverage 25.3% · moderate

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Gadang

Banjarmasin · Kampung kota

A kampung in a canal city. Its pedestrian network is as long as its residential streets — walkways and gang that follow the water rather than accompany a road.

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° · 3.4%Drive · 5°–15° · 3.6%Drive · 15°–25° · 3.8%Drive · 25°–35° · 1.6%Drive · 35°–45° · 1.2%Drive · 45°–55° · 1.5%Drive · 55°–65° · 1.6%Drive · 65°–75° · 2.1%Drive · 75°–85° · 3.5%Drive · 85°–95° · 3.7%Drive · 95°–105° · 5.5%Drive · 105°–115° · 6.0%Drive · 115°–125° · 2.7%Drive · 125°–135° · 1.3%Drive · 135°–145° · 0.6%Drive · 145°–155° · 1.0%Drive · 155°–165° · 2.2%Drive · 165°–175° · 4.6%Drive · 175°–185° · 3.4%Drive · 185°–195° · 3.6%Drive · 195°–205° · 3.8%Drive · 205°–215° · 1.6%Drive · 215°–225° · 1.2%Drive · 225°–235° · 1.5%Drive · 235°–245° · 1.6%Drive · 245°–255° · 2.1%Drive · 255°–265° · 3.5%Drive · 265°–275° · 3.7%Drive · 275°–285° · 5.5%Drive · 285°–295° · 6.0%Drive · 295°–305° · 2.7%Drive · 305°–315° · 1.3%Drive · 315°–325° · 0.6%Drive · 325°–335° · 1.0%Drive · 335°–345° · 2.2%Drive · 345°–355° · 4.6%
Drive H 3.432 · φ 0.13
Orientation entropy
3.432nat
H / H max
0.958
φ orientation-order
0.133
Circuity
1.441~460
Average node degree
2.34
Four-way
3.7%
Dead-end
25.3%
Intersection density
207 /km²
Median segment length
28 m
Network length
39.1 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. 460 pairs sampled · 29 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
756
Edges
886
Intersections (degree ≥ 3)
417
Disc area
2.01 km²
Intersection density
207 /km²
Rose weighted length
78.2 km
Per-edge circuity
1.049

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° · 3.9%Walk · 5°–15° · 3.9%Walk · 15°–25° · 3.4%Walk · 25°–35° · 2.1%Walk · 35°–45° · 1.7%Walk · 45°–55° · 1.5%Walk · 55°–65° · 1.6%Walk · 65°–75° · 2.4%Walk · 75°–85° · 3.1%Walk · 85°–95° · 3.6%Walk · 95°–105° · 4.5%Walk · 105°–115° · 4.9%Walk · 115°–125° · 2.7%Walk · 125°–135° · 1.7%Walk · 135°–145° · 0.8%Walk · 145°–155° · 1.1%Walk · 155°–165° · 2.2%Walk · 165°–175° · 4.9%Walk · 175°–185° · 3.9%Walk · 185°–195° · 3.9%Walk · 195°–205° · 3.4%Walk · 205°–215° · 2.1%Walk · 215°–225° · 1.7%Walk · 225°–235° · 1.5%Walk · 235°–245° · 1.6%Walk · 245°–255° · 2.4%Walk · 255°–265° · 3.1%Walk · 265°–275° · 3.6%Walk · 275°–285° · 4.5%Walk · 285°–295° · 4.9%Walk · 295°–305° · 2.7%Walk · 305°–315° · 1.7%Walk · 315°–325° · 0.8%Walk · 325°–335° · 1.1%Walk · 335°–345° · 2.2%Walk · 345°–355° · 4.9%
Walk H 3.477 · φ 0.09
Orientation entropy
3.477nat
H / H max
0.970
φ orientation-order
0.094
Circuity
1.454~463
Average node degree
2.39
Four-way
4.8%
Dead-end
23.3%
Intersection density
314 /km²
Median segment length
27 m
Network length
55.5 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. 463 pairs sampled · 26 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
1114
Edges
1329
Intersections (degree ≥ 3)
631
Disc area
2.01 km²
Intersection density
314 /km²
Rose weighted length
111.0 km
Per-edge circuity
1.059

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° · 3.4%Drive · 5°–15° · 3.6%Drive · 15°–25° · 3.8%Drive · 25°–35° · 1.6%Drive · 35°–45° · 1.2%Drive · 45°–55° · 1.5%Drive · 55°–65° · 1.6%Drive · 65°–75° · 2.1%Drive · 75°–85° · 3.5%Drive · 85°–95° · 3.7%Drive · 95°–105° · 5.5%Drive · 105°–115° · 6.0%Drive · 115°–125° · 2.7%Drive · 125°–135° · 1.3%Drive · 135°–145° · 0.6%Drive · 145°–155° · 1.0%Drive · 155°–165° · 2.2%Drive · 165°–175° · 4.6%Drive · 175°–185° · 3.4%Drive · 185°–195° · 3.6%Drive · 195°–205° · 3.8%Drive · 205°–215° · 1.6%Drive · 215°–225° · 1.2%Drive · 225°–235° · 1.5%Drive · 235°–245° · 1.6%Drive · 245°–255° · 2.1%Drive · 255°–265° · 3.5%Drive · 265°–275° · 3.7%Drive · 275°–285° · 5.5%Drive · 285°–295° · 6.0%Drive · 295°–305° · 2.7%Drive · 305°–315° · 1.3%Drive · 315°–325° · 0.6%Drive · 325°–335° · 1.0%Drive · 335°–345° · 2.2%Drive · 345°–355° · 4.6%Walk · 355°–5° · 3.9%Walk · 5°–15° · 3.9%Walk · 15°–25° · 3.4%Walk · 25°–35° · 2.1%Walk · 35°–45° · 1.7%Walk · 45°–55° · 1.5%Walk · 55°–65° · 1.6%Walk · 65°–75° · 2.4%Walk · 75°–85° · 3.1%Walk · 85°–95° · 3.6%Walk · 95°–105° · 4.5%Walk · 105°–115° · 4.9%Walk · 115°–125° · 2.7%Walk · 125°–135° · 1.7%Walk · 135°–145° · 0.8%Walk · 145°–155° · 1.1%Walk · 155°–165° · 2.2%Walk · 165°–175° · 4.9%Walk · 175°–185° · 3.9%Walk · 185°–195° · 3.9%Walk · 195°–205° · 3.4%Walk · 205°–215° · 2.1%Walk · 215°–225° · 1.7%Walk · 225°–235° · 1.5%Walk · 235°–245° · 1.6%Walk · 245°–255° · 2.4%Walk · 255°–265° · 3.1%Walk · 265°–275° · 3.6%Walk · 275°–285° · 4.5%Walk · 285°–295° · 4.9%Walk · 295°–305° · 2.7%Walk · 305°–315° · 1.7%Walk · 315°–325° · 0.8%Walk · 325°–335° · 1.1%Walk · 335°–345° · 2.2%Walk · 345°–355° · 4.9%
Drive H 3.432 · φ 0.13Walk H 3.477 · φ 0.09
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
+0.046
H / H max
+0.013
φ orientation-order
−0.039
Circuity
+0.013
Average node degree
+0.04
Four-way
+1.1%
Dead-end
−1.9%
Intersection density
+106
Median segment length
−1
Network length
+16.4

What walking adds

Walk-only length
16.4 km
Share of walking network
29.5%
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 binsGadang
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°3.35%3.91%0.11380.1268
015°–15°3.59%3.86%0.11950.1257
0215°–25°3.81%3.42%0.12460.1155
0325°–35°1.58%2.12%0.06560.0817
0435°–45°1.23%1.67%0.05400.0684
0545°–55°1.50%1.49%0.06290.0627
0655°–65°1.65%1.57%0.06760.0653
0765°–75°2.14%2.41%0.08230.0897
0875°–85°3.52%3.13%0.11790.1083
0985°–95°3.69%3.57%0.12170.1191
1095°–105°5.49%4.47%0.15930.1390
11105°–115°5.97%4.93%0.16830.1484
12115°–125°2.73%2.65%0.09840.0962
13125°–135°1.34%1.68%0.05770.0685
14135°–145°0.63%0.84%0.03190.0401
15145°–155°0.96%1.10%0.04470.0498
16155°–165°2.17%2.25%0.08320.0853
17165°–175°4.64%4.92%0.14250.1482
18175°–185°3.35%3.91%0.11380.1268
19185°–195°3.59%3.86%0.11950.1257
20195°–205°3.81%3.42%0.12460.1155
21205°–215°1.58%2.12%0.06560.0817
22215°–225°1.23%1.67%0.05400.0684
23225°–235°1.50%1.49%0.06290.0627
24235°–245°1.65%1.57%0.06760.0653
25245°–255°2.14%2.41%0.08230.0897
26255°–265°3.52%3.13%0.11790.1083
27265°–275°3.69%3.57%0.12170.1191
28275°–285°5.49%4.47%0.15930.1390
29285°–295°5.97%4.93%0.16830.1484
30295°–305°2.73%2.65%0.09840.0962
31305°–315°1.34%1.68%0.05770.0685
32315°–325°0.63%0.84%0.03190.0401
33325°–335°0.96%1.10%0.04470.0498
34335°–345°2.17%2.25%0.08320.0853
35345°–355°4.64%4.92%0.14250.1482
Sum = H3.4323.477

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.