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

Penurunan · Bengkulu · Kampung kota

r = 800 m · 36 bin · Footway coverage 15.8% · moderate

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Penurunan

Bengkulu · Kampung kota

A kampung in central Bengkulu, not far from the shore, threaded with living street half as long again as its residential 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° · 1.9%Drive · 5°–15° · 2.4%Drive · 15°–25° · 2.4%Drive · 25°–35° · 1.1%Drive · 35°–45° · 4.5%Drive · 45°–55° · 5.3%Drive · 55°–65° · 2.2%Drive · 65°–75° · 1.7%Drive · 75°–85° · 1.9%Drive · 85°–95° · 1.9%Drive · 95°–105° · 1.9%Drive · 105°–115° · 2.1%Drive · 115°–125° · 2.1%Drive · 125°–135° · 4.4%Drive · 135°–145° · 7.5%Drive · 145°–155° · 2.7%Drive · 155°–165° · 2.9%Drive · 165°–175° · 1.3%Drive · 175°–185° · 1.9%Drive · 185°–195° · 2.4%Drive · 195°–205° · 2.4%Drive · 205°–215° · 1.1%Drive · 215°–225° · 4.5%Drive · 225°–235° · 5.3%Drive · 235°–245° · 2.2%Drive · 245°–255° · 1.7%Drive · 255°–265° · 1.9%Drive · 265°–275° · 1.9%Drive · 275°–285° · 1.9%Drive · 285°–295° · 2.1%Drive · 295°–305° · 2.1%Drive · 305°–315° · 4.4%Drive · 315°–325° · 7.5%Drive · 325°–335° · 2.7%Drive · 335°–345° · 2.9%Drive · 345°–355° · 1.3%
Drive H 3.446 · φ 0.12
Orientation entropy
3.446nat
H / H max
0.962
φ orientation-order
0.121
Circuity
1.651~462
Average node degree
2.21
Four-way
4.1%
Dead-end
38.3%
Intersection density
99 /km²
Median segment length
41 m
Network length
20.0 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. 462 pairs sampled · 13 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
363
Edges
401
Intersections (degree ≥ 3)
200
Disc area
2.01 km²
Intersection density
99 /km²
Rose weighted length
40.0 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.

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° · 1.7%Walk · 5°–15° · 2.0%Walk · 15°–25° · 2.1%Walk · 25°–35° · 1.0%Walk · 35°–45° · 4.4%Walk · 45°–55° · 4.6%Walk · 55°–65° · 2.0%Walk · 65°–75° · 1.7%Walk · 75°–85° · 1.7%Walk · 85°–95° · 2.2%Walk · 95°–105° · 1.7%Walk · 105°–115° · 1.8%Walk · 115°–125° · 2.2%Walk · 125°–135° · 6.2%Walk · 135°–145° · 8.3%Walk · 145°–155° · 2.9%Walk · 155°–165° · 2.4%Walk · 165°–175° · 1.2%Walk · 175°–185° · 1.7%Walk · 185°–195° · 2.0%Walk · 195°–205° · 2.1%Walk · 205°–215° · 1.0%Walk · 215°–225° · 4.4%Walk · 225°–235° · 4.6%Walk · 235°–245° · 2.0%Walk · 245°–255° · 1.7%Walk · 255°–265° · 1.7%Walk · 265°–275° · 2.2%Walk · 275°–285° · 1.7%Walk · 285°–295° · 1.8%Walk · 295°–305° · 2.2%Walk · 305°–315° · 6.2%Walk · 315°–325° · 8.3%Walk · 325°–335° · 2.9%Walk · 335°–345° · 2.4%Walk · 345°–355° · 1.2%
Walk H 3.404 · φ 0.16
Orientation entropy
3.404nat
H / H max
0.950
φ orientation-order
0.156
Circuity
1.655~453
Average node degree
2.30
Four-way
6.2%
Dead-end
34.2%
Intersection density
126 /km²
Median segment length
39 m
Network length
25.2 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. 453 pairs sampled · 24 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
438
Edges
503
Intersections (degree ≥ 3)
253
Disc area
2.01 km²
Intersection density
126 /km²
Rose weighted length
50.4 km
Per-edge circuity
1.044

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° · 1.7%Walk · 5°–15° · 2.0%Walk · 15°–25° · 2.1%Walk · 25°–35° · 1.0%Walk · 35°–45° · 4.4%Walk · 45°–55° · 4.6%Walk · 55°–65° · 2.0%Walk · 65°–75° · 1.7%Walk · 75°–85° · 1.7%Walk · 85°–95° · 2.2%Walk · 95°–105° · 1.7%Walk · 105°–115° · 1.8%Walk · 115°–125° · 2.2%Walk · 125°–135° · 6.2%Walk · 135°–145° · 8.3%Walk · 145°–155° · 2.9%Walk · 155°–165° · 2.4%Walk · 165°–175° · 1.2%Walk · 175°–185° · 1.7%Walk · 185°–195° · 2.0%Walk · 195°–205° · 2.1%Walk · 205°–215° · 1.0%Walk · 215°–225° · 4.4%Walk · 225°–235° · 4.6%Walk · 235°–245° · 2.0%Walk · 245°–255° · 1.7%Walk · 255°–265° · 1.7%Walk · 265°–275° · 2.2%Walk · 275°–285° · 1.7%Walk · 285°–295° · 1.8%Walk · 295°–305° · 2.2%Walk · 305°–315° · 6.2%Walk · 315°–325° · 8.3%Walk · 325°–335° · 2.9%Walk · 335°–345° · 2.4%Walk · 345°–355° · 1.2%Drive · 355°–5° · 1.9%Drive · 5°–15° · 2.4%Drive · 15°–25° · 2.4%Drive · 25°–35° · 1.1%Drive · 35°–45° · 4.5%Drive · 45°–55° · 5.3%Drive · 55°–65° · 2.2%Drive · 65°–75° · 1.7%Drive · 75°–85° · 1.9%Drive · 85°–95° · 1.9%Drive · 95°–105° · 1.9%Drive · 105°–115° · 2.1%Drive · 115°–125° · 2.1%Drive · 125°–135° · 4.4%Drive · 135°–145° · 7.5%Drive · 145°–155° · 2.7%Drive · 155°–165° · 2.9%Drive · 165°–175° · 1.3%Drive · 175°–185° · 1.9%Drive · 185°–195° · 2.4%Drive · 195°–205° · 2.4%Drive · 205°–215° · 1.1%Drive · 215°–225° · 4.5%Drive · 225°–235° · 5.3%Drive · 235°–245° · 2.2%Drive · 245°–255° · 1.7%Drive · 255°–265° · 1.9%Drive · 265°–275° · 1.9%Drive · 275°–285° · 1.9%Drive · 285°–295° · 2.1%Drive · 295°–305° · 2.1%Drive · 305°–315° · 4.4%Drive · 315°–325° · 7.5%Drive · 325°–335° · 2.7%Drive · 335°–345° · 2.9%Drive · 345°–355° · 1.3%
Drive H 3.446 · φ 0.12Walk H 3.404 · φ 0.16
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
−0.042
H / H max
−0.012
φ orientation-order
+0.035
Circuity
+0.004
Average node degree
+0.09
Four-way
+2.0%
Dead-end
−4.0%
Intersection density
+26
Median segment length
−2
Network length
+5.2

What walking adds

Walk-only length
5.2 km
Share of walking network
20.6%
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 binsPenurunan
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°1.88%1.65%0.07470.0678
015°–15°2.43%1.99%0.09050.0778
0215°–25°2.36%2.06%0.08840.0800
0325°–35°1.07%0.98%0.04860.0454
0435°–45°4.48%4.35%0.13910.1365
0545°–55°5.31%4.56%0.15600.1408
0655°–65°2.18%2.01%0.08340.0787
0765°–75°1.73%1.66%0.07030.0679
0875°–85°1.90%1.73%0.07530.0702
0985°–95°1.86%2.21%0.07420.0842
1095°–105°1.88%1.74%0.07480.0705
11105°–115°2.05%1.82%0.07980.0729
12115°–125°2.07%2.25%0.08020.0854
13125°–135°4.37%6.22%0.13680.1728
14135°–145°7.50%8.26%0.19430.2060
15145°–155°2.73%2.86%0.09830.1018
16155°–165°2.89%2.44%0.10240.0906
17165°–175°1.29%1.20%0.05620.0532
18175°–185°1.88%1.65%0.07470.0678
19185°–195°2.43%1.99%0.09050.0778
20195°–205°2.36%2.06%0.08840.0800
21205°–215°1.07%0.98%0.04860.0454
22215°–225°4.48%4.35%0.13910.1365
23225°–235°5.31%4.56%0.15600.1408
24235°–245°2.18%2.01%0.08340.0787
25245°–255°1.73%1.66%0.07030.0679
26255°–265°1.90%1.73%0.07530.0702
27265°–275°1.86%2.21%0.07420.0842
28275°–285°1.88%1.74%0.07480.0705
29285°–295°2.05%1.82%0.07980.0729
30295°–305°2.07%2.25%0.08020.0854
31305°–315°4.37%6.22%0.13680.1728
32315°–325°7.50%8.26%0.19430.2060
33325°–335°2.73%2.86%0.09830.1018
34335°–345°2.89%2.44%0.10240.0906
35345°–355°1.29%1.20%0.05620.0532
Sum = H3.4463.404

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.