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

BSD City — kluster · Tangerang Selatan · Perumahan cluster

r = 800 m · 36 bin · Footway coverage 33.9% · moderate

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BSD City — kluster

Tangerang Selatan · Perumahan cluster

Gated clusters with one or two access points onto the collector 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° · 2.6%Drive · 5°–15° · 1.1%Drive · 15°–25° · 0.7%Drive · 25°–35° · 0.6%Drive · 35°–45° · 0.4%Drive · 45°–55° · 0.9%Drive · 55°–65° · 2.2%Drive · 65°–75° · 1.9%Drive · 75°–85° · 10.7%Drive · 85°–95° · 8.0%Drive · 95°–105° · 3.9%Drive · 105°–115° · 2.2%Drive · 115°–125° · 1.6%Drive · 125°–135° · 2.9%Drive · 135°–145° · 2.4%Drive · 145°–155° · 2.5%Drive · 155°–165° · 2.0%Drive · 165°–175° · 3.6%Drive · 175°–185° · 2.6%Drive · 185°–195° · 1.1%Drive · 195°–205° · 0.7%Drive · 205°–215° · 0.6%Drive · 215°–225° · 0.4%Drive · 225°–235° · 0.9%Drive · 235°–245° · 2.2%Drive · 245°–255° · 1.9%Drive · 255°–265° · 10.7%Drive · 265°–275° · 8.0%Drive · 275°–285° · 3.9%Drive · 285°–295° · 2.2%Drive · 295°–305° · 1.6%Drive · 305°–315° · 2.9%Drive · 315°–325° · 2.4%Drive · 325°–335° · 2.5%Drive · 335°–345° · 2.0%Drive · 345°–355° · 3.6%
Drive H 3.256 · φ 0.28
Orientation entropy
3.256nat
H / H max
0.909
φ orientation-order
0.276
Circuity
1.619~309
Average node degree
2.44
Four-way
4.2%
Dead-end
23.2%
Intersection density
110 /km²
Median segment length
35 m
Network length
26.1 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. 309 pairs sampled · 167 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
353
Edges
430
Intersections (degree ≥ 3)
221
Disc area
2.01 km²
Intersection density
110 /km²
Rose weighted length
52.1 km
Per-edge circuity
1.072

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° · 3.6%Walk · 5°–15° · 1.7%Walk · 15°–25° · 1.4%Walk · 25°–35° · 1.2%Walk · 35°–45° · 0.7%Walk · 45°–55° · 1.1%Walk · 55°–65° · 2.4%Walk · 65°–75° · 2.1%Walk · 75°–85° · 7.2%Walk · 85°–95° · 6.0%Walk · 95°–105° · 3.0%Walk · 105°–115° · 2.5%Walk · 115°–125° · 2.0%Walk · 125°–135° · 2.8%Walk · 135°–145° · 2.6%Walk · 145°–155° · 2.7%Walk · 155°–165° · 2.6%Walk · 165°–175° · 4.4%Walk · 175°–185° · 3.6%Walk · 185°–195° · 1.7%Walk · 195°–205° · 1.4%Walk · 205°–215° · 1.2%Walk · 215°–225° · 0.7%Walk · 225°–235° · 1.1%Walk · 235°–245° · 2.4%Walk · 245°–255° · 2.1%Walk · 255°–265° · 7.2%Walk · 265°–275° · 6.0%Walk · 275°–285° · 3.0%Walk · 285°–295° · 2.5%Walk · 295°–305° · 2.0%Walk · 305°–315° · 2.8%Walk · 315°–325° · 2.6%Walk · 325°–335° · 2.7%Walk · 335°–345° · 2.6%Walk · 345°–355° · 4.4%
Walk H 3.429 · φ 0.14
Orientation entropy
3.429nat
H / H max
0.957
φ orientation-order
0.136
Circuity
1.597~299
Average node degree
2.51
Four-way
4.6%
Dead-end
19.6%
Intersection density
205 /km²
Median segment length
27 m
Network length
35.6 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. 299 pairs sampled · 190 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
628
Edges
787
Intersections (degree ≥ 3)
412
Disc area
2.01 km²
Intersection density
205 /km²
Rose weighted length
71.1 km
Per-edge circuity
1.076

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° · 2.6%Drive · 5°–15° · 1.1%Drive · 15°–25° · 0.7%Drive · 25°–35° · 0.6%Drive · 35°–45° · 0.4%Drive · 45°–55° · 0.9%Drive · 55°–65° · 2.2%Drive · 65°–75° · 1.9%Drive · 75°–85° · 10.7%Drive · 85°–95° · 8.0%Drive · 95°–105° · 3.9%Drive · 105°–115° · 2.2%Drive · 115°–125° · 1.6%Drive · 125°–135° · 2.9%Drive · 135°–145° · 2.4%Drive · 145°–155° · 2.5%Drive · 155°–165° · 2.0%Drive · 165°–175° · 3.6%Drive · 175°–185° · 2.6%Drive · 185°–195° · 1.1%Drive · 195°–205° · 0.7%Drive · 205°–215° · 0.6%Drive · 215°–225° · 0.4%Drive · 225°–235° · 0.9%Drive · 235°–245° · 2.2%Drive · 245°–255° · 1.9%Drive · 255°–265° · 10.7%Drive · 265°–275° · 8.0%Drive · 275°–285° · 3.9%Drive · 285°–295° · 2.2%Drive · 295°–305° · 1.6%Drive · 305°–315° · 2.9%Drive · 315°–325° · 2.4%Drive · 325°–335° · 2.5%Drive · 335°–345° · 2.0%Drive · 345°–355° · 3.6%Walk · 355°–5° · 3.6%Walk · 5°–15° · 1.7%Walk · 15°–25° · 1.4%Walk · 25°–35° · 1.2%Walk · 35°–45° · 0.7%Walk · 45°–55° · 1.1%Walk · 55°–65° · 2.4%Walk · 65°–75° · 2.1%Walk · 75°–85° · 7.2%Walk · 85°–95° · 6.0%Walk · 95°–105° · 3.0%Walk · 105°–115° · 2.5%Walk · 115°–125° · 2.0%Walk · 125°–135° · 2.8%Walk · 135°–145° · 2.6%Walk · 145°–155° · 2.7%Walk · 155°–165° · 2.6%Walk · 165°–175° · 4.4%Walk · 175°–185° · 3.6%Walk · 185°–195° · 1.7%Walk · 195°–205° · 1.4%Walk · 205°–215° · 1.2%Walk · 215°–225° · 0.7%Walk · 225°–235° · 1.1%Walk · 235°–245° · 2.4%Walk · 245°–255° · 2.1%Walk · 255°–265° · 7.2%Walk · 265°–275° · 6.0%Walk · 275°–285° · 3.0%Walk · 285°–295° · 2.5%Walk · 295°–305° · 2.0%Walk · 305°–315° · 2.8%Walk · 315°–325° · 2.6%Walk · 325°–335° · 2.7%Walk · 335°–345° · 2.6%Walk · 345°–355° · 4.4%
Drive H 3.256 · φ 0.28Walk H 3.429 · φ 0.14
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
+0.173
H / H max
+0.048
φ orientation-order
−0.140
Circuity
−0.023
Average node degree
+0.07
Four-way
+0.4%
Dead-end
−3.6%
Intersection density
+95
Median segment length
−8
Network length
+9.5

What walking adds

Walk-only length
12.3 km
Share of walking network
34.7%
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 binsBSD City — kluster
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°2.59%3.62%0.09470.1202
015°–15°1.13%1.67%0.05070.0685
0215°–25°0.67%1.37%0.03350.0587
0325°–35°0.60%1.21%0.03070.0533
0435°–45°0.40%0.68%0.02210.0340
0545°–55°0.86%1.07%0.04080.0485
0655°–65°2.20%2.45%0.08400.0908
0765°–75°1.86%2.11%0.07400.0814
0875°–85°10.72%7.16%0.23940.1888
0985°–95°7.95%6.03%0.20130.1693
1095°–105°3.86%2.99%0.12570.1049
11105°–115°2.24%2.50%0.08520.0921
12115°–125°1.60%1.98%0.06620.0776
13125°–135°2.90%2.85%0.10270.1013
14135°–145°2.35%2.62%0.08820.0954
15145°–155°2.47%2.69%0.09130.0972
16155°–165°1.99%2.57%0.07800.0941
17165°–175°3.59%4.44%0.11950.1383
18175°–185°2.59%3.62%0.09470.1202
19185°–195°1.13%1.67%0.05070.0685
20195°–205°0.67%1.37%0.03350.0587
21205°–215°0.60%1.21%0.03070.0533
22215°–225°0.40%0.68%0.02210.0340
23225°–235°0.86%1.07%0.04080.0485
24235°–245°2.20%2.45%0.08400.0908
25245°–255°1.86%2.11%0.07400.0814
26255°–265°10.72%7.16%0.23940.1888
27265°–275°7.95%6.03%0.20130.1693
28275°–285°3.86%2.99%0.12570.1049
29285°–295°2.24%2.50%0.08520.0921
30295°–305°1.60%1.98%0.06620.0776
31305°–315°2.90%2.85%0.10270.1013
32315°–325°2.35%2.62%0.08820.0954
33325°–335°2.47%2.69%0.09130.0972
34335°–345°1.99%2.57%0.07800.0941
35345°–355°3.59%4.44%0.11950.1383
Sum = H3.2563.429

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.