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

Cipayung · Depok · Perumahan cluster

r = 800 m · 36 bin · Footway coverage 36.4% · good

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Cipayung

Depok · Perumahan cluster

Gated clusters and the kampung they grew among, in one disc: 76 mapped gates inside this radius, beside gang named after birds and plot roads named in English. The only perumahan site in this set whose gang are mapped densely enough to compare.

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° · 6.7%Drive · 5°–15° · 5.6%Drive · 15°–25° · 3.1%Drive · 25°–35° · 1.2%Drive · 35°–45° · 0.8%Drive · 45°–55° · 1.2%Drive · 55°–65° · 1.0%Drive · 65°–75° · 1.6%Drive · 75°–85° · 2.7%Drive · 85°–95° · 7.4%Drive · 95°–105° · 6.9%Drive · 105°–115° · 3.7%Drive · 115°–125° · 1.3%Drive · 125°–135° · 0.8%Drive · 135°–145° · 0.9%Drive · 145°–155° · 0.9%Drive · 155°–165° · 1.4%Drive · 165°–175° · 2.8%Drive · 175°–185° · 6.7%Drive · 185°–195° · 5.6%Drive · 195°–205° · 3.1%Drive · 205°–215° · 1.2%Drive · 215°–225° · 0.8%Drive · 225°–235° · 1.2%Drive · 235°–245° · 1.0%Drive · 245°–255° · 1.6%Drive · 255°–265° · 2.7%Drive · 265°–275° · 7.4%Drive · 275°–285° · 6.9%Drive · 285°–295° · 3.7%Drive · 295°–305° · 1.3%Drive · 305°–315° · 0.8%Drive · 315°–325° · 0.9%Drive · 325°–335° · 0.9%Drive · 335°–345° · 1.4%Drive · 345°–355° · 2.8%
Drive H 3.285 · φ 0.25
Orientation entropy
3.285nat
H / H max
0.917
φ orientation-order
0.253
Circuity
1.560~176
Average node degree
2.15
Four-way
3.1%
Dead-end
36.2%
Intersection density
162 /km²
Median segment length
39 m
Network length
33.2 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. 176 pairs sampled · 315 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
676
Edges
727
Intersections (degree ≥ 3)
326
Disc area
2.01 km²
Intersection density
162 /km²
Rose weighted length
66.3 km
Per-edge circuity
1.053

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° · 6.5%Walk · 5°–15° · 6.7%Walk · 15°–25° · 3.6%Walk · 25°–35° · 1.6%Walk · 35°–45° · 0.8%Walk · 45°–55° · 0.9%Walk · 55°–65° · 0.7%Walk · 65°–75° · 1.1%Walk · 75°–85° · 2.4%Walk · 85°–95° · 6.6%Walk · 95°–105° · 7.0%Walk · 105°–115° · 4.3%Walk · 115°–125° · 1.7%Walk · 125°–135° · 0.9%Walk · 135°–145° · 1.0%Walk · 145°–155° · 0.8%Walk · 155°–165° · 1.1%Walk · 165°–175° · 2.4%Walk · 175°–185° · 6.5%Walk · 185°–195° · 6.7%Walk · 195°–205° · 3.6%Walk · 205°–215° · 1.6%Walk · 215°–225° · 0.8%Walk · 225°–235° · 0.9%Walk · 235°–245° · 0.7%Walk · 245°–255° · 1.1%Walk · 255°–265° · 2.4%Walk · 265°–275° · 6.6%Walk · 275°–285° · 7.0%Walk · 285°–295° · 4.3%Walk · 295°–305° · 1.7%Walk · 305°–315° · 0.9%Walk · 315°–325° · 1.0%Walk · 325°–335° · 0.8%Walk · 335°–345° · 1.1%Walk · 345°–355° · 2.4%
Walk H 3.268 · φ 0.27
Orientation entropy
3.268nat
H / H max
0.912
φ orientation-order
0.266
Circuity
1.504~433
Average node degree
2.36
Four-way
4.8%
Dead-end
28.1%
Intersection density
434 /km²
Median segment length
28 m
Network length
58.5 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. 433 pairs sampled · 59 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
1466
Edges
1732
Intersections (degree ≥ 3)
873
Disc area
2.01 km²
Intersection density
434 /km²
Rose weighted length
117.0 km
Per-edge circuity
1.054

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° · 6.7%Drive · 5°–15° · 5.6%Drive · 15°–25° · 3.1%Drive · 25°–35° · 1.2%Drive · 35°–45° · 0.8%Drive · 45°–55° · 1.2%Drive · 55°–65° · 1.0%Drive · 65°–75° · 1.6%Drive · 75°–85° · 2.7%Drive · 85°–95° · 7.4%Drive · 95°–105° · 6.9%Drive · 105°–115° · 3.7%Drive · 115°–125° · 1.3%Drive · 125°–135° · 0.8%Drive · 135°–145° · 0.9%Drive · 145°–155° · 0.9%Drive · 155°–165° · 1.4%Drive · 165°–175° · 2.8%Drive · 175°–185° · 6.7%Drive · 185°–195° · 5.6%Drive · 195°–205° · 3.1%Drive · 205°–215° · 1.2%Drive · 215°–225° · 0.8%Drive · 225°–235° · 1.2%Drive · 235°–245° · 1.0%Drive · 245°–255° · 1.6%Drive · 255°–265° · 2.7%Drive · 265°–275° · 7.4%Drive · 275°–285° · 6.9%Drive · 285°–295° · 3.7%Drive · 295°–305° · 1.3%Drive · 305°–315° · 0.8%Drive · 315°–325° · 0.9%Drive · 325°–335° · 0.9%Drive · 335°–345° · 1.4%Drive · 345°–355° · 2.8%Walk · 355°–5° · 6.5%Walk · 5°–15° · 6.7%Walk · 15°–25° · 3.6%Walk · 25°–35° · 1.6%Walk · 35°–45° · 0.8%Walk · 45°–55° · 0.9%Walk · 55°–65° · 0.7%Walk · 65°–75° · 1.1%Walk · 75°–85° · 2.4%Walk · 85°–95° · 6.6%Walk · 95°–105° · 7.0%Walk · 105°–115° · 4.3%Walk · 115°–125° · 1.7%Walk · 125°–135° · 0.9%Walk · 135°–145° · 1.0%Walk · 145°–155° · 0.8%Walk · 155°–165° · 1.1%Walk · 165°–175° · 2.4%Walk · 175°–185° · 6.5%Walk · 185°–195° · 6.7%Walk · 195°–205° · 3.6%Walk · 205°–215° · 1.6%Walk · 215°–225° · 0.8%Walk · 225°–235° · 0.9%Walk · 235°–245° · 0.7%Walk · 245°–255° · 1.1%Walk · 255°–265° · 2.4%Walk · 265°–275° · 6.6%Walk · 275°–285° · 7.0%Walk · 285°–295° · 4.3%Walk · 295°–305° · 1.7%Walk · 305°–315° · 0.9%Walk · 315°–325° · 1.0%Walk · 325°–335° · 0.8%Walk · 335°–345° · 1.1%Walk · 345°–355° · 2.4%
Drive H 3.285 · φ 0.25Walk H 3.268 · φ 0.27
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
−0.017
H / H max
−0.005
φ orientation-order
+0.013
Circuity
−0.055
Average node degree
+0.21
Four-way
+1.7%
Dead-end
−8.1%
Intersection density
+272
Median segment length
−11
Network length
+25.3

What walking adds

Walk-only length
25.3 km
Share of walking network
43.3%
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 binsCipayung
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°6.72%6.51%0.18140.1778
015°–15°5.65%6.69%0.16230.1809
0215°–25°3.05%3.59%0.10650.1195
0325°–35°1.18%1.57%0.05220.0653
0435°–45°0.81%0.84%0.03890.0402
0545°–55°1.17%0.93%0.05220.0436
0655°–65°0.95%0.74%0.04430.0361
0765°–75°1.58%1.12%0.06560.0503
0875°–85°2.71%2.40%0.09790.0896
0985°–95°7.37%6.56%0.19210.1788
1095°–105°6.94%6.98%0.18510.1858
11105°–115°3.72%4.30%0.12240.1352
12115°–125°1.32%1.67%0.05710.0685
13125°–135°0.80%0.87%0.03880.0412
14135°–145°0.88%0.97%0.04180.0451
15145°–155°0.92%0.81%0.04300.0389
16155°–165°1.40%1.06%0.05970.0482
17165°–175°2.84%2.39%0.10110.0892
18175°–185°6.72%6.51%0.18140.1778
19185°–195°5.65%6.69%0.16230.1809
20195°–205°3.05%3.59%0.10650.1195
21205°–215°1.18%1.57%0.05220.0653
22215°–225°0.81%0.84%0.03890.0402
23225°–235°1.17%0.93%0.05220.0436
24235°–245°0.95%0.74%0.04430.0361
25245°–255°1.58%1.12%0.06560.0503
26255°–265°2.71%2.40%0.09790.0896
27265°–275°7.37%6.56%0.19210.1788
28275°–285°6.94%6.98%0.18510.1858
29285°–295°3.72%4.30%0.12240.1352
30295°–305°1.32%1.67%0.05710.0685
31305°–315°0.80%0.87%0.03880.0412
32315°–325°0.88%0.97%0.04180.0451
33325°–335°0.92%0.81%0.04300.0389
34335°–345°1.40%1.06%0.05970.0482
35345°–355°2.84%2.39%0.10110.0892
Sum = H3.2853.268

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.