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

IKN — Kawasan Inti · Penajam Paser Utara · IKN

r = 800 m · 36 bin · Footway coverage 0.0% · thin

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IKN — Kawasan Inti

Penajam Paser Utara · IKN

The Sumbu Kebangsaan axis and its surroundings. The network is under construction and partly unmapped — both show in the numbers.

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° · 2.5%Drive · 5°–15° · 1.6%Drive · 15°–25° · 4.7%Drive · 25°–35° · 2.3%Drive · 35°–45° · 2.8%Drive · 45°–55° · 2.4%Drive · 55°–65° · 4.5%Drive · 65°–75° · 4.2%Drive · 75°–85° · 2.3%Drive · 85°–95° · 5.3%Drive · 95°–105° · 1.0%Drive · 105°–115° · 0.5%Drive · 115°–125° · 2.8%Drive · 125°–135° · 2.5%Drive · 135°–145° · 3.1%Drive · 145°–155° · 2.8%Drive · 155°–165° · 2.1%Drive · 165°–175° · 2.5%Drive · 175°–185° · 2.5%Drive · 185°–195° · 1.6%Drive · 195°–205° · 4.7%Drive · 205°–215° · 2.3%Drive · 215°–225° · 2.8%Drive · 225°–235° · 2.4%Drive · 235°–245° · 4.5%Drive · 245°–255° · 4.2%Drive · 255°–265° · 2.3%Drive · 265°–275° · 5.3%Drive · 275°–285° · 1.0%Drive · 285°–295° · 0.5%Drive · 295°–305° · 2.8%Drive · 305°–315° · 2.5%Drive · 315°–325° · 3.1%Drive · 325°–335° · 2.8%Drive · 335°–345° · 2.1%Drive · 345°–355° · 2.5%
Drive H 3.485 · φ 0.09
Orientation entropy
3.485nat
H / H max
0.972
φ orientation-order
0.088
Circuity
1.334~348
Average node degree
2.21
Four-way
15.8%
Dead-end
45.6%
Intersection density
14 /km²
Median segment length
200 m
Network length
13.4 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. 348 pairs sampled · 127 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
57
Edges
63
Intersections (degree ≥ 3)
29
Disc area
2.01 km²
Intersection density
14 /km²
Rose weighted length
26.8 km
Per-edge circuity
1.035

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° · 2.5%Walk · 5°–15° · 1.6%Walk · 15°–25° · 4.7%Walk · 25°–35° · 2.3%Walk · 35°–45° · 2.8%Walk · 45°–55° · 2.4%Walk · 55°–65° · 4.5%Walk · 65°–75° · 4.2%Walk · 75°–85° · 2.3%Walk · 85°–95° · 5.3%Walk · 95°–105° · 1.0%Walk · 105°–115° · 0.5%Walk · 115°–125° · 2.8%Walk · 125°–135° · 2.5%Walk · 135°–145° · 3.1%Walk · 145°–155° · 2.8%Walk · 155°–165° · 2.1%Walk · 165°–175° · 2.5%Walk · 175°–185° · 2.5%Walk · 185°–195° · 1.6%Walk · 195°–205° · 4.7%Walk · 205°–215° · 2.3%Walk · 215°–225° · 2.8%Walk · 225°–235° · 2.4%Walk · 235°–245° · 4.5%Walk · 245°–255° · 4.2%Walk · 255°–265° · 2.3%Walk · 265°–275° · 5.3%Walk · 275°–285° · 1.0%Walk · 285°–295° · 0.5%Walk · 295°–305° · 2.8%Walk · 305°–315° · 2.5%Walk · 315°–325° · 3.1%Walk · 325°–335° · 2.8%Walk · 335°–345° · 2.1%Walk · 345°–355° · 2.5%
Walk H 3.485 · φ 0.09
Orientation entropy
3.485nat
H / H max
0.972
φ orientation-order
0.088
Circuity
1.334~348
Average node degree
2.21
Four-way
15.8%
Dead-end
45.6%
Intersection density
14 /km²
Median segment length
200 m
Network length
13.4 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. 348 pairs sampled · 127 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
57
Edges
63
Intersections (degree ≥ 3)
29
Disc area
2.01 km²
Intersection density
14 /km²
Rose weighted length
26.8 km
Per-edge circuity
1.035

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° · 2.5%Drive · 5°–15° · 1.6%Drive · 15°–25° · 4.7%Drive · 25°–35° · 2.3%Drive · 35°–45° · 2.8%Drive · 45°–55° · 2.4%Drive · 55°–65° · 4.5%Drive · 65°–75° · 4.2%Drive · 75°–85° · 2.3%Drive · 85°–95° · 5.3%Drive · 95°–105° · 1.0%Drive · 105°–115° · 0.5%Drive · 115°–125° · 2.8%Drive · 125°–135° · 2.5%Drive · 135°–145° · 3.1%Drive · 145°–155° · 2.8%Drive · 155°–165° · 2.1%Drive · 165°–175° · 2.5%Drive · 175°–185° · 2.5%Drive · 185°–195° · 1.6%Drive · 195°–205° · 4.7%Drive · 205°–215° · 2.3%Drive · 215°–225° · 2.8%Drive · 225°–235° · 2.4%Drive · 235°–245° · 4.5%Drive · 245°–255° · 4.2%Drive · 255°–265° · 2.3%Drive · 265°–275° · 5.3%Drive · 275°–285° · 1.0%Drive · 285°–295° · 0.5%Drive · 295°–305° · 2.8%Drive · 305°–315° · 2.5%Drive · 315°–325° · 3.1%Drive · 325°–335° · 2.8%Drive · 335°–345° · 2.1%Drive · 345°–355° · 2.5%Walk · 355°–5° · 2.5%Walk · 5°–15° · 1.6%Walk · 15°–25° · 4.7%Walk · 25°–35° · 2.3%Walk · 35°–45° · 2.8%Walk · 45°–55° · 2.4%Walk · 55°–65° · 4.5%Walk · 65°–75° · 4.2%Walk · 75°–85° · 2.3%Walk · 85°–95° · 5.3%Walk · 95°–105° · 1.0%Walk · 105°–115° · 0.5%Walk · 115°–125° · 2.8%Walk · 125°–135° · 2.5%Walk · 135°–145° · 3.1%Walk · 145°–155° · 2.8%Walk · 155°–165° · 2.1%Walk · 165°–175° · 2.5%Walk · 175°–185° · 2.5%Walk · 185°–195° · 1.6%Walk · 195°–205° · 4.7%Walk · 205°–215° · 2.3%Walk · 215°–225° · 2.8%Walk · 225°–235° · 2.4%Walk · 235°–245° · 4.5%Walk · 245°–255° · 4.2%Walk · 255°–265° · 2.3%Walk · 265°–275° · 5.3%Walk · 275°–285° · 1.0%Walk · 285°–295° · 0.5%Walk · 295°–305° · 2.8%Walk · 305°–315° · 2.5%Walk · 315°–325° · 3.1%Walk · 325°–335° · 2.8%Walk · 335°–345° · 2.1%Walk · 345°–355° · 2.5%
Drive H 3.485 · φ 0.09Walk H 3.485 · φ 0.09
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

DeltaWalk − Drive

Orientation entropy
±0.000
H / H max
±0.000
φ orientation-order
±0.000
Circuity
±0.000
Average node degree
±0.00
Four-way
±0.0%
Dead-end
±0.0%
Intersection density
±0
Median segment length
±0
Network length
±0.0

What walking adds

Walk-only length
0.0 km
Share of walking network
0.0%
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 bins — IKN — Kawasan Inti
Share of network length per 10° bearing bin, for drive and walk.
BinBearing rangeP — DriveP — Walk−P·ln P−P·ln P
00355°–5°2.47%2.47%0.09130.0913
015°–15°1.62%1.62%0.06660.0666
0215°–25°4.66%4.66%0.14290.1429
0325°–35°2.28%2.28%0.08620.0862
0435°–45°2.77%2.77%0.09940.0994
0545°–55°2.42%2.42%0.09020.0902
0655°–65°4.53%4.53%0.14030.1403
0765°–75°4.24%4.24%0.13400.1340
0875°–85°2.33%2.33%0.08770.0877
0985°–95°5.32%5.32%0.15600.1560
1095°–105°1.02%1.02%0.04690.0469
11105°–115°0.51%0.51%0.02700.0270
12115°–125°2.78%2.78%0.09970.0997
13125°–135°2.50%2.50%0.09210.0921
14135°–145°3.14%3.14%0.10880.1088
15145°–155°2.80%2.80%0.10020.1002
16155°–165°2.09%2.09%0.08090.0809
17165°–175°2.50%2.50%0.09230.0923
18175°–185°2.47%2.47%0.09130.0913
19185°–195°1.62%1.62%0.06660.0666
20195°–205°4.66%4.66%0.14290.1429
21205°–215°2.28%2.28%0.08620.0862
22215°–225°2.77%2.77%0.09940.0994
23225°–235°2.42%2.42%0.09020.0902
24235°–245°4.53%4.53%0.14030.1403
25245°–255°4.24%4.24%0.13400.1340
26255°–265°2.33%2.33%0.08770.0877
27265°–275°5.32%5.32%0.15600.1560
28275°–285°1.02%1.02%0.04690.0469
29285°–295°0.51%0.51%0.02700.0270
30295°–305°2.78%2.78%0.09970.0997
31305°–315°2.50%2.50%0.09210.0921
32315°–325°3.14%3.14%0.10880.1088
33325°–335°2.80%2.80%0.10020.1002
34335°–345°2.09%2.09%0.08090.0809
35345°–355°2.50%2.50%0.09230.0923
Sum = H3.4853.485

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.

Note

IKN is the open question in this set. Its street network is not an inheritance being measured after the fact but a decision being made now: what φ is it getting, and what dead-end ratio.

Two things bound what its numbers mean. Much of the area is still under construction, so what is measured is the network as far as it exists. And its OpenStreetMap coverage is thin — not one pedestrian-only segment is recorded inside this radius, so the walking network here is effectively the driving network. The drive/walk gap for this site cannot be read as a finding.

What can still be read is the form already built: the bearings of its main axes, and how closely it follows the logic of a single grid. That is all, and it is interesting enough to place beside Menteng and a kampung.

Download this site’s data (JSON, ODbL)

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.