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

Kampung Bugis · Tanjungpinang · Kampung kota

r = 800 m · 36 bin · Footway coverage 27.3% · moderate

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Kampung Bugis

Tanjungpinang · Kampung kota

A settlement built over the water across from the harbour. Its streets are named pelantar — timber jetties that serve as streets rather than pavements beside one.

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° · 3.3%Drive · 5°–15° · 3.8%Drive · 15°–25° · 3.9%Drive · 25°–35° · 4.9%Drive · 35°–45° · 3.6%Drive · 45°–55° · 3.7%Drive · 55°–65° · 1.5%Drive · 65°–75° · 1.6%Drive · 75°–85° · 1.1%Drive · 85°–95° · 1.6%Drive · 95°–105° · 0.7%Drive · 105°–115° · 2.3%Drive · 115°–125° · 4.2%Drive · 125°–135° · 3.4%Drive · 135°–145° · 3.2%Drive · 145°–155° · 1.8%Drive · 155°–165° · 2.0%Drive · 165°–175° · 3.4%Drive · 175°–185° · 3.3%Drive · 185°–195° · 3.8%Drive · 195°–205° · 3.9%Drive · 205°–215° · 4.9%Drive · 215°–225° · 3.6%Drive · 225°–235° · 3.7%Drive · 235°–245° · 1.5%Drive · 245°–255° · 1.6%Drive · 255°–265° · 1.1%Drive · 265°–275° · 1.6%Drive · 275°–285° · 0.7%Drive · 285°–295° · 2.3%Drive · 295°–305° · 4.2%Drive · 305°–315° · 3.4%Drive · 315°–325° · 3.2%Drive · 325°–335° · 1.8%Drive · 335°–345° · 2.0%Drive · 345°–355° · 3.4%
Drive H 3.485 · φ 0.09
Orientation entropy
3.485nat
H / H max
0.972
φ orientation-order
0.088
Circuity
1.565~304
Average node degree
2.24
Four-way
1.7%
Dead-end
35.6%
Intersection density
34 /km²
Median segment length
63 m
Network length
11.3 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. 304 pairs sampled · 173 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
118
Edges
132
Intersections (degree ≥ 3)
68
Disc area
2.01 km²
Intersection density
34 /km²
Rose weighted length
22.6 km
Per-edge circuity
1.089

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° · 4.3%Walk · 5°–15° · 2.8%Walk · 15°–25° · 4.6%Walk · 25°–35° · 6.2%Walk · 35°–45° · 4.9%Walk · 45°–55° · 2.9%Walk · 55°–65° · 1.3%Walk · 65°–75° · 1.2%Walk · 75°–85° · 1.4%Walk · 85°–95° · 2.2%Walk · 95°–105° · 0.5%Walk · 105°–115° · 1.7%Walk · 115°–125° · 3.3%Walk · 125°–135° · 2.5%Walk · 135°–145° · 2.3%Walk · 145°–155° · 1.9%Walk · 155°–165° · 1.8%Walk · 165°–175° · 4.3%Walk · 175°–185° · 4.3%Walk · 185°–195° · 2.8%Walk · 195°–205° · 4.6%Walk · 205°–215° · 6.2%Walk · 215°–225° · 4.9%Walk · 225°–235° · 2.9%Walk · 235°–245° · 1.3%Walk · 245°–255° · 1.2%Walk · 255°–265° · 1.4%Walk · 265°–275° · 2.2%Walk · 275°–285° · 0.5%Walk · 285°–295° · 1.7%Walk · 295°–305° · 3.3%Walk · 305°–315° · 2.5%Walk · 315°–325° · 2.3%Walk · 325°–335° · 1.9%Walk · 335°–345° · 1.8%Walk · 345°–355° · 4.3%
Walk H 3.444 · φ 0.12
Orientation entropy
3.444nat
H / H max
0.961
φ orientation-order
0.123
Circuity
1.450~292
Average node degree
2.21
Four-way
4.6%
Dead-end
39.9%
Intersection density
43 /km²
Median segment length
65 m
Network length
15.5 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. 292 pairs sampled · 187 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
153
Edges
169
Intersections (degree ≥ 3)
86
Disc area
2.01 km²
Intersection density
43 /km²
Rose weighted length
31.1 km
Per-edge circuity
1.066

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° · 4.3%Walk · 5°–15° · 2.8%Walk · 15°–25° · 4.6%Walk · 25°–35° · 6.2%Walk · 35°–45° · 4.9%Walk · 45°–55° · 2.9%Walk · 55°–65° · 1.3%Walk · 65°–75° · 1.2%Walk · 75°–85° · 1.4%Walk · 85°–95° · 2.2%Walk · 95°–105° · 0.5%Walk · 105°–115° · 1.7%Walk · 115°–125° · 3.3%Walk · 125°–135° · 2.5%Walk · 135°–145° · 2.3%Walk · 145°–155° · 1.9%Walk · 155°–165° · 1.8%Walk · 165°–175° · 4.3%Walk · 175°–185° · 4.3%Walk · 185°–195° · 2.8%Walk · 195°–205° · 4.6%Walk · 205°–215° · 6.2%Walk · 215°–225° · 4.9%Walk · 225°–235° · 2.9%Walk · 235°–245° · 1.3%Walk · 245°–255° · 1.2%Walk · 255°–265° · 1.4%Walk · 265°–275° · 2.2%Walk · 275°–285° · 0.5%Walk · 285°–295° · 1.7%Walk · 295°–305° · 3.3%Walk · 305°–315° · 2.5%Walk · 315°–325° · 2.3%Walk · 325°–335° · 1.9%Walk · 335°–345° · 1.8%Walk · 345°–355° · 4.3%Drive · 355°–5° · 3.3%Drive · 5°–15° · 3.8%Drive · 15°–25° · 3.9%Drive · 25°–35° · 4.9%Drive · 35°–45° · 3.6%Drive · 45°–55° · 3.7%Drive · 55°–65° · 1.5%Drive · 65°–75° · 1.6%Drive · 75°–85° · 1.1%Drive · 85°–95° · 1.6%Drive · 95°–105° · 0.7%Drive · 105°–115° · 2.3%Drive · 115°–125° · 4.2%Drive · 125°–135° · 3.4%Drive · 135°–145° · 3.2%Drive · 145°–155° · 1.8%Drive · 155°–165° · 2.0%Drive · 165°–175° · 3.4%Drive · 175°–185° · 3.3%Drive · 185°–195° · 3.8%Drive · 195°–205° · 3.9%Drive · 205°–215° · 4.9%Drive · 215°–225° · 3.6%Drive · 225°–235° · 3.7%Drive · 235°–245° · 1.5%Drive · 245°–255° · 1.6%Drive · 255°–265° · 1.1%Drive · 265°–275° · 1.6%Drive · 275°–285° · 0.7%Drive · 285°–295° · 2.3%Drive · 295°–305° · 4.2%Drive · 305°–315° · 3.4%Drive · 315°–325° · 3.2%Drive · 325°–335° · 1.8%Drive · 335°–345° · 2.0%Drive · 345°–355° · 3.4%
Drive H 3.485 · φ 0.09Walk H 3.444 · φ 0.12
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
−0.041
H / H max
−0.011
φ orientation-order
+0.035
Circuity
−0.116
Average node degree
−0.03
Four-way
+2.9%
Dead-end
+4.3%
Intersection density
+9
Median segment length
+2
Network length
+4.2

What walking adds

Walk-only length
4.2 km
Share of walking network
27.3%
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 binsKampung Bugis
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°3.29%4.28%0.11240.1348
015°–15°3.81%2.79%0.12450.0999
0215°–25°3.95%4.55%0.12760.1406
0325°–35°4.86%6.18%0.14690.1720
0435°–45°3.63%4.85%0.12050.1468
0545°–55°3.75%2.89%0.12300.1025
0655°–65°1.53%1.30%0.06410.0563
0765°–75°1.59%1.16%0.06590.0516
0875°–85°1.07%1.40%0.04840.0596
0985°–95°1.63%2.24%0.06700.0852
1095°–105°0.68%0.50%0.03410.0264
11105°–115°2.30%1.73%0.08670.0703
12115°–125°4.23%3.35%0.13370.1138
13125°–135°3.40%2.47%0.11490.0914
14135°–145°3.16%2.29%0.10910.0866
15145°–155°1.76%1.92%0.07100.0759
16155°–165°1.98%1.85%0.07770.0738
17165°–175°3.39%4.25%0.11480.1342
18175°–185°3.29%4.28%0.11240.1348
19185°–195°3.81%2.79%0.12450.0999
20195°–205°3.95%4.55%0.12760.1406
21205°–215°4.86%6.18%0.14690.1720
22215°–225°3.63%4.85%0.12050.1468
23225°–235°3.75%2.89%0.12300.1025
24235°–245°1.53%1.30%0.06410.0563
25245°–255°1.59%1.16%0.06590.0516
26255°–265°1.07%1.40%0.04840.0596
27265°–275°1.63%2.24%0.06700.0852
28275°–285°0.68%0.50%0.03410.0264
29285°–295°2.30%1.73%0.08670.0703
30295°–305°4.23%3.35%0.13370.1138
31305°–315°3.40%2.47%0.11490.0914
32315°–325°3.16%2.29%0.10910.0866
33325°–335°1.76%1.92%0.07100.0759
34335°–345°1.98%1.85%0.07770.0738
35345°–355°3.39%4.25%0.11480.1342
Sum = H3.4853.444

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.