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

Kampung Lette · Makassar · Kampung kota

r = 800 m · 36 bin · Footway coverage 4.1% · thin

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Kampung Lette

Makassar · Kampung kota

A coastal kampung in northern Makassar, narrow lorong between blocks of houses.

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° · 5.6%Drive · 5°–15° · 1.2%Drive · 15°–25° · 0.3%Drive · 25°–35° · 0.3%Drive · 35°–45° · 0.3%Drive · 45°–55° · 0.1%Drive · 55°–65° · 0.1%Drive · 65°–75° · 3.1%Drive · 75°–85° · 11.2%Drive · 85°–95° · 7.9%Drive · 95°–105° · 1.0%Drive · 105°–115° · 1.1%Drive · 115°–125° · 0.2%Drive · 125°–135° · 0.2%Drive · 135°–145° · 0.3%Drive · 145°–155° · 0.2%Drive · 155°–165° · 4.7%Drive · 165°–175° · 12.2%Drive · 175°–185° · 5.6%Drive · 185°–195° · 1.2%Drive · 195°–205° · 0.3%Drive · 205°–215° · 0.3%Drive · 215°–225° · 0.3%Drive · 225°–235° · 0.1%Drive · 235°–245° · 0.1%Drive · 245°–255° · 3.1%Drive · 255°–265° · 11.2%Drive · 265°–275° · 7.9%Drive · 275°–285° · 1.0%Drive · 285°–295° · 1.1%Drive · 295°–305° · 0.2%Drive · 305°–315° · 0.2%Drive · 315°–325° · 0.3%Drive · 325°–335° · 0.2%Drive · 335°–345° · 4.7%Drive · 345°–355° · 12.2%
Drive H 2.776 · φ 0.60
Orientation entropy
2.776nat
H / H max
0.775
φ orientation-order
0.600
Circuity
1.391~469
Average node degree
2.41
Four-way
7.9%
Dead-end
30.3%
Intersection density
197 /km²
Median segment length
45 m
Network length
41.9 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. 469 pairs sampled · 27 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
623
Edges
752
Intersections (degree ≥ 3)
396
Disc area
2.01 km²
Intersection density
197 /km²
Rose weighted length
83.8 km
Per-edge circuity
1.027

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° · 5.8%Walk · 5°–15° · 1.2%Walk · 15°–25° · 0.3%Walk · 25°–35° · 0.3%Walk · 35°–45° · 0.3%Walk · 45°–55° · 0.1%Walk · 55°–65° · 0.1%Walk · 65°–75° · 2.9%Walk · 75°–85° · 11.4%Walk · 85°–95° · 7.7%Walk · 95°–105° · 0.9%Walk · 105°–115° · 1.1%Walk · 115°–125° · 0.2%Walk · 125°–135° · 0.2%Walk · 135°–145° · 0.3%Walk · 145°–155° · 0.2%Walk · 155°–165° · 4.4%Walk · 165°–175° · 12.5%Walk · 175°–185° · 5.8%Walk · 185°–195° · 1.2%Walk · 195°–205° · 0.3%Walk · 205°–215° · 0.3%Walk · 215°–225° · 0.3%Walk · 225°–235° · 0.1%Walk · 235°–245° · 0.1%Walk · 245°–255° · 2.9%Walk · 255°–265° · 11.4%Walk · 265°–275° · 7.7%Walk · 275°–285° · 0.9%Walk · 285°–295° · 1.1%Walk · 295°–305° · 0.2%Walk · 305°–315° · 0.2%Walk · 315°–325° · 0.3%Walk · 325°–335° · 0.2%Walk · 335°–345° · 4.4%Walk · 345°–355° · 12.5%
Walk H 2.762 · φ 0.61
Orientation entropy
2.762nat
H / H max
0.771
φ orientation-order
0.608
Circuity
1.404~472
Average node degree
2.43
Four-way
8.0%
Dead-end
29.7%
Intersection density
215 /km²
Median segment length
45 m
Network length
44.6 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. 472 pairs sampled · 21 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
674
Edges
818
Intersections (degree ≥ 3)
432
Disc area
2.01 km²
Intersection density
215 /km²
Rose weighted length
89.1 km
Per-edge circuity
1.028

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° · 5.8%Walk · 5°–15° · 1.2%Walk · 15°–25° · 0.3%Walk · 25°–35° · 0.3%Walk · 35°–45° · 0.3%Walk · 45°–55° · 0.1%Walk · 55°–65° · 0.1%Walk · 65°–75° · 2.9%Walk · 75°–85° · 11.4%Walk · 85°–95° · 7.7%Walk · 95°–105° · 0.9%Walk · 105°–115° · 1.1%Walk · 115°–125° · 0.2%Walk · 125°–135° · 0.2%Walk · 135°–145° · 0.3%Walk · 145°–155° · 0.2%Walk · 155°–165° · 4.4%Walk · 165°–175° · 12.5%Walk · 175°–185° · 5.8%Walk · 185°–195° · 1.2%Walk · 195°–205° · 0.3%Walk · 205°–215° · 0.3%Walk · 215°–225° · 0.3%Walk · 225°–235° · 0.1%Walk · 235°–245° · 0.1%Walk · 245°–255° · 2.9%Walk · 255°–265° · 11.4%Walk · 265°–275° · 7.7%Walk · 275°–285° · 0.9%Walk · 285°–295° · 1.1%Walk · 295°–305° · 0.2%Walk · 305°–315° · 0.2%Walk · 315°–325° · 0.3%Walk · 325°–335° · 0.2%Walk · 335°–345° · 4.4%Walk · 345°–355° · 12.5%Drive · 355°–5° · 5.6%Drive · 5°–15° · 1.2%Drive · 15°–25° · 0.3%Drive · 25°–35° · 0.3%Drive · 35°–45° · 0.3%Drive · 45°–55° · 0.1%Drive · 55°–65° · 0.1%Drive · 65°–75° · 3.1%Drive · 75°–85° · 11.2%Drive · 85°–95° · 7.9%Drive · 95°–105° · 1.0%Drive · 105°–115° · 1.1%Drive · 115°–125° · 0.2%Drive · 125°–135° · 0.2%Drive · 135°–145° · 0.3%Drive · 145°–155° · 0.2%Drive · 155°–165° · 4.7%Drive · 165°–175° · 12.2%Drive · 175°–185° · 5.6%Drive · 185°–195° · 1.2%Drive · 195°–205° · 0.3%Drive · 205°–215° · 0.3%Drive · 215°–225° · 0.3%Drive · 225°–235° · 0.1%Drive · 235°–245° · 0.1%Drive · 245°–255° · 3.1%Drive · 255°–265° · 11.2%Drive · 265°–275° · 7.9%Drive · 275°–285° · 1.0%Drive · 285°–295° · 1.1%Drive · 295°–305° · 0.2%Drive · 305°–315° · 0.2%Drive · 315°–325° · 0.3%Drive · 325°–335° · 0.2%Drive · 335°–345° · 4.7%Drive · 345°–355° · 12.2%
Drive H 2.776 · φ 0.60Walk H 2.762 · φ 0.61
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
−0.013
H / H max
−0.004
φ orientation-order
+0.008
Circuity
+0.013
Average node degree
+0.01
Four-way
+0.1%
Dead-end
−0.7%
Intersection density
+18
Median segment length
−1
Network length
+2.6

What walking adds

Walk-only length
2.6 km
Share of walking network
5.9%
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 Lette
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°5.58%5.81%0.16110.1654
015°–15°1.24%1.23%0.05460.0540
0215°–25°0.28%0.28%0.01630.0165
0325°–35°0.32%0.33%0.01840.0188
0435°–45°0.30%0.28%0.01720.0164
0545°–55°0.07%0.08%0.00490.0056
0655°–65°0.13%0.12%0.00860.0082
0765°–75°3.06%2.93%0.10660.1034
0875°–85°11.16%11.41%0.24470.2476
0985°–95°7.92%7.69%0.20080.1973
1095°–105°0.96%0.93%0.04470.0436
11105°–115°1.13%1.08%0.05080.0491
12115°–125°0.24%0.23%0.01420.0141
13125°–135°0.22%0.21%0.01350.0128
14135°–145°0.29%0.29%0.01670.0171
15145°–155°0.25%0.23%0.01490.0142
16155°–165°4.66%4.41%0.14300.1376
17165°–175°12.19%12.45%0.25660.2594
18175°–185°5.58%5.81%0.16110.1654
19185°–195°1.24%1.23%0.05460.0540
20195°–205°0.28%0.28%0.01630.0165
21205°–215°0.32%0.33%0.01840.0188
22215°–225°0.30%0.28%0.01720.0164
23225°–235°0.07%0.08%0.00490.0056
24235°–245°0.13%0.12%0.00860.0082
25245°–255°3.06%2.93%0.10660.1034
26255°–265°11.16%11.41%0.24470.2476
27265°–275°7.92%7.69%0.20080.1973
28275°–285°0.96%0.93%0.04470.0436
29285°–295°1.13%1.08%0.05080.0491
30295°–305°0.24%0.23%0.01420.0141
31305°–315°0.22%0.21%0.01350.0128
32315°–325°0.29%0.29%0.01670.0171
33325°–335°0.25%0.23%0.01490.0142
34335°–345°4.66%4.41%0.14300.1376
35345°–355°12.19%12.45%0.25660.2594
Sum = H2.7762.762

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.