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

Kota Lama · Semarang · Colonial grid

r = 800 m · 36 bin · Footway coverage 1.9% · thin

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Kota Lama

Semarang · Colonial grid

A small, dense colonial grid on the edge of the Semarang river.

Read the two columns below as two readings of the same data rather than as a gap that can yet be concluded from. The gang here are not mapped densely enough for that.

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° · 6.8%Drive · 5°–15° · 0.9%Drive · 15°–25° · 1.2%Drive · 25°–35° · 0.3%Drive · 35°–45° · 1.1%Drive · 45°–55° · 2.0%Drive · 55°–65° · 3.0%Drive · 65°–75° · 5.0%Drive · 75°–85° · 6.1%Drive · 85°–95° · 6.7%Drive · 95°–105° · 2.4%Drive · 105°–115° · 1.2%Drive · 115°–125° · 0.5%Drive · 125°–135° · 0.7%Drive · 135°–145° · 0.8%Drive · 145°–155° · 2.0%Drive · 155°–165° · 4.5%Drive · 165°–175° · 4.8%Drive · 175°–185° · 6.8%Drive · 185°–195° · 0.9%Drive · 195°–205° · 1.2%Drive · 205°–215° · 0.3%Drive · 215°–225° · 1.1%Drive · 225°–235° · 2.0%Drive · 235°–245° · 3.0%Drive · 245°–255° · 5.0%Drive · 255°–265° · 6.1%Drive · 265°–275° · 6.7%Drive · 275°–285° · 2.4%Drive · 285°–295° · 1.2%Drive · 295°–305° · 0.5%Drive · 305°–315° · 0.7%Drive · 315°–325° · 0.8%Drive · 325°–335° · 2.0%Drive · 335°–345° · 4.5%Drive · 345°–355° · 4.8%
Drive H 3.272 · φ 0.26
Orientation entropy
3.272nat
H / H max
0.913
φ orientation-order
0.263
Circuity
1.449~465
Average node degree
2.43
Four-way
8.7%
Dead-end
27.6%
Intersection density
219 /km²
Median segment length
39 m
Network length
44.9 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. 465 pairs sampled · 25 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
713
Edges
868
Intersections (degree ≥ 3)
441
Disc area
2.01 km²
Intersection density
219 /km²
Rose weighted length
89.8 km
Per-edge circuity
1.022

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° · 0.9%Walk · 15°–25° · 1.3%Walk · 25°–35° · 0.3%Walk · 35°–45° · 1.0%Walk · 45°–55° · 1.9%Walk · 55°–65° · 2.8%Walk · 65°–75° · 4.8%Walk · 75°–85° · 6.1%Walk · 85°–95° · 7.5%Walk · 95°–105° · 2.2%Walk · 105°–115° · 1.1%Walk · 115°–125° · 0.4%Walk · 125°–135° · 0.7%Walk · 135°–145° · 0.8%Walk · 145°–155° · 1.8%Walk · 155°–165° · 4.3%Walk · 165°–175° · 4.9%Walk · 175°–185° · 7.2%Walk · 185°–195° · 0.9%Walk · 195°–205° · 1.3%Walk · 205°–215° · 0.3%Walk · 215°–225° · 1.0%Walk · 225°–235° · 1.9%Walk · 235°–245° · 2.8%Walk · 245°–255° · 4.8%Walk · 255°–265° · 6.1%Walk · 265°–275° · 7.5%Walk · 275°–285° · 2.2%Walk · 285°–295° · 1.1%Walk · 295°–305° · 0.4%Walk · 305°–315° · 0.7%Walk · 315°–325° · 0.8%Walk · 325°–335° · 1.8%Walk · 335°–345° · 4.3%Walk · 345°–355° · 4.9%
Walk H 3.247 · φ 0.28
Orientation entropy
3.247nat
H / H max
0.906
φ orientation-order
0.283
Circuity
1.402~472
Average node degree
2.57
Four-way
9.5%
Dead-end
21.2%
Intersection density
296 /km²
Median segment length
35 m
Network length
52.2 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. 472 pairs sampled · 10 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
872
Edges
1121
Intersections (degree ≥ 3)
596
Disc area
2.01 km²
Intersection density
296 /km²
Rose weighted length
104.5 km
Per-edge circuity
1.029

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

NWalk · 355°–5° · 7.2%Walk · 5°–15° · 0.9%Walk · 15°–25° · 1.3%Walk · 25°–35° · 0.3%Walk · 35°–45° · 1.0%Walk · 45°–55° · 1.9%Walk · 55°–65° · 2.8%Walk · 65°–75° · 4.8%Walk · 75°–85° · 6.1%Walk · 85°–95° · 7.5%Walk · 95°–105° · 2.2%Walk · 105°–115° · 1.1%Walk · 115°–125° · 0.4%Walk · 125°–135° · 0.7%Walk · 135°–145° · 0.8%Walk · 145°–155° · 1.8%Walk · 155°–165° · 4.3%Walk · 165°–175° · 4.9%Walk · 175°–185° · 7.2%Walk · 185°–195° · 0.9%Walk · 195°–205° · 1.3%Walk · 205°–215° · 0.3%Walk · 215°–225° · 1.0%Walk · 225°–235° · 1.9%Walk · 235°–245° · 2.8%Walk · 245°–255° · 4.8%Walk · 255°–265° · 6.1%Walk · 265°–275° · 7.5%Walk · 275°–285° · 2.2%Walk · 285°–295° · 1.1%Walk · 295°–305° · 0.4%Walk · 305°–315° · 0.7%Walk · 315°–325° · 0.8%Walk · 325°–335° · 1.8%Walk · 335°–345° · 4.3%Walk · 345°–355° · 4.9%Drive · 355°–5° · 6.8%Drive · 5°–15° · 0.9%Drive · 15°–25° · 1.2%Drive · 25°–35° · 0.3%Drive · 35°–45° · 1.1%Drive · 45°–55° · 2.0%Drive · 55°–65° · 3.0%Drive · 65°–75° · 5.0%Drive · 75°–85° · 6.1%Drive · 85°–95° · 6.7%Drive · 95°–105° · 2.4%Drive · 105°–115° · 1.2%Drive · 115°–125° · 0.5%Drive · 125°–135° · 0.7%Drive · 135°–145° · 0.8%Drive · 145°–155° · 2.0%Drive · 155°–165° · 4.5%Drive · 165°–175° · 4.8%Drive · 175°–185° · 6.8%Drive · 185°–195° · 0.9%Drive · 195°–205° · 1.2%Drive · 205°–215° · 0.3%Drive · 215°–225° · 1.1%Drive · 225°–235° · 2.0%Drive · 235°–245° · 3.0%Drive · 245°–255° · 5.0%Drive · 255°–265° · 6.1%Drive · 265°–275° · 6.7%Drive · 275°–285° · 2.4%Drive · 285°–295° · 1.2%Drive · 295°–305° · 0.5%Drive · 305°–315° · 0.7%Drive · 315°–325° · 0.8%Drive · 325°–335° · 2.0%Drive · 335°–345° · 4.5%Drive · 345°–355° · 4.8%
Drive H 3.272 · φ 0.26Walk H 3.247 · φ 0.28
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
−0.025
H / H max
−0.007
φ orientation-order
+0.020
Circuity
−0.047
Average node degree
+0.14
Four-way
+0.8%
Dead-end
−6.4%
Intersection density
+77
Median segment length
−4
Network length
+7.3

What walking adds

Walk-only length
7.3 km
Share of walking network
14.1%
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 binsKota Lama
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°6.80%7.19%0.18290.1893
015°–15°0.90%0.92%0.04220.0432
0215°–25°1.21%1.28%0.05340.0558
0325°–35°0.32%0.32%0.01840.0182
0435°–45°1.05%0.97%0.04790.0449
0545°–55°2.01%1.87%0.07860.0743
0655°–65°3.02%2.77%0.10580.0994
0765°–75°4.97%4.81%0.14920.1461
0875°–85°6.13%6.11%0.17120.1708
0985°–95°6.73%7.46%0.18170.1936
1095°–105°2.38%2.17%0.08890.0832
11105°–115°1.21%1.15%0.05320.0513
12115°–125°0.49%0.45%0.02600.0242
13125°–135°0.71%0.69%0.03530.0342
14135°–145°0.81%0.79%0.03890.0382
15145°–155°1.97%1.81%0.07730.0727
16155°–165°4.53%4.33%0.14010.1359
17165°–175°4.75%4.91%0.14480.1481
18175°–185°6.80%7.19%0.18290.1893
19185°–195°0.90%0.92%0.04220.0432
20195°–205°1.21%1.28%0.05340.0558
21205°–215°0.32%0.32%0.01840.0182
22215°–225°1.05%0.97%0.04790.0449
23225°–235°2.01%1.87%0.07860.0743
24235°–245°3.02%2.77%0.10580.0994
25245°–255°4.97%4.81%0.14920.1461
26255°–265°6.13%6.11%0.17120.1708
27265°–275°6.73%7.46%0.18170.1936
28275°–285°2.38%2.17%0.08890.0832
29285°–295°1.21%1.15%0.05320.0513
30295°–305°0.49%0.45%0.02600.0242
31305°–315°0.71%0.69%0.03530.0342
32315°–325°0.81%0.79%0.03890.0382
33325°–335°1.97%1.81%0.07730.0727
34335°–345°4.53%4.33%0.14010.1359
35345°–355°4.75%4.91%0.14480.1481
Sum = H3.2723.247

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.