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Big Data Analysis for the High-Resolution View of
Urban Public Transportation Accessibility
Itzhak Benenson1, Dmitry Geyzersky2,
Karel Martens3, Yodan Rofe4
1Department

of Geography and Human Environment, Tel Aviv University, Israel
2Performit LTD, Israel (http://www.performit.co.il)
3Institute for Management Research, Radboud University Nijmegen, Holland
4Blaustein Institutes for Desert Research, Ben Gurion University of the Negev, Israel

http://www.tau.ac.il/~bennya/
bennya@post.tau.ac.il
1

Dresden, August 2013
What is accessibility?
The extent to which land-use transport system enables individuals
to reach destinations by means of transport modes1
• Given a destination:
The number of origins from which a destination can be reached,
given the amount of effort
• Given an origin:
The number of destinations that can be reached from the origin,
given the amount of effort
1K.T.

Geurs, J.T. Ritsema van Eck, 2001, “Accessibility measures: review and applications”,
RIVM report 408505 006, Urban Research Center, Utrecht University

2

Dresden, August 2013
Transport-based component of accessibility is
car-based and aggregate

How many activities can be reached
with the car from the given origin
during the given time?

Accessibility changes abruptly
at the boundary of an area

3

Dresden, August 2013
Accessibility components
Transportation:
Components of transportation system performance (modes, travel time, cost,
effort to travel between origin and destination)
Land-use:
Distribution of needs/activities (jobs, schools, shops) and population (workers,
pupils, customers) in space and time
Individual utility:
The demand for trips between certain origins and destination, benefits people
derive from the access to facilities

4

Guangzhou, June 2013
The goal: To estimate accessibility from the user’s viewpoint

The idea: To compare accessibility with the private car and with
the public transport (and, probably, other modes, as bike)

5

Dresden, August 2013
Accessibility depends on a transportation mode
Public Transport Travel Time (PTT):
PTT = Walk time from origin to a stop 1 of the PT + Waiting time of PT at stop 1 +
Travel time of PT1 + [Transfer walk time to stop 2 of PT + Waiting time of PT 2 +
Travel time of PT 2] + … + Walk time from the final stop to destination
Private Car Travel Time (CTT):
CTT = Walk time from origin to the parking place + Car trip time + Parking
search time + Walk time from the final parking place to destination.
Service area:
Given origin O, transportation mode M and travel time t define
Mode Service Area - MSAO(t) - as maximal area containing all destinations D
that can be reached from O with M during MTT ≤ t.
Access area:
Given destination D, transportation mode M and travel time t define
Mode Access Area – MSAD(t) - as maximal area containing all origins O from
which given destination D can be reached during MTT ≤ t.

We distinguish between
Public Transport Service Area PSAO(t), Public Transport Access Area PAAO(t),
Private Car Service Area CSAO(t), Private Car Access Area CAAO(t)
6

Dresden, August 2013
We focus on measuring relative accessibility

Service areas ratio: SAO(t) = PSAO(t)/CSAO(t)
Access area ratio: AAD(t) = PAAD(t)/CAAD(t)

7

Dresden, August 2013
IN A NEW ERA OF BIG DATA
WE ARE ABLE TO ESTIMATE
ACCESSIBILITY EXPLICITLY!
Utrecht Metro
500 km2
0.6*106 pop
150 bus lines

Tel Aviv Metro
600 km2
2.5*106 pop
300 bus lines

8

Dresden, August 2013
BIG URBAN
TRANSPORTATION
DATA

9

Dresden, August 2013
Street network
104 ÷ 105 links

Attributes:
traffic directions,
speed

Necessary for measuring
accessibility by car
10

Dresden, August 2013
Bus lines –
102 ÷ 103
Bus stops
102 ÷ 103

Relation between
bus lines and stops.

Necessary for measuring bus
accessibility
11

Dresden, August 2013
Bus time-table 105 ÷ 106

Necessary for measuring
bus accessibility
12

Dresden, August 2013
Buildings and jobs, 105 - 106

Necessary for measuring activity component of accessibility
13

Dresden, August 2013
Socio-economic level by traffic zones

Land-uses, 105 ÷ 106

Car ownership

Necessary for measuring
activity component of
bus accessibility
Socio-economic level

14

Dresden, August 2013
AccessCity

15

Dresden, August 2013
From transportation
networks to graphs

16

Dresden, August 2013
Translation of Road network into Graph is easy…

Node  Junction
Link  Road segment
Impedance  Travel time

Typical metropolitan road network graph has
104 - 105 nodes and links
17

Dresden, August 2013
Every travel should be represented explicitly
Destination

Transfer
Stop 1

Transfer
Stop 2

Final
Stop

Initial
Stop

Origin

18

Dresden, August 2013
Public Transport  Graph, the idea
Route 1

Bus starts every 10 minutes

6:57 7:01
1
2

7:03
3

7:05
4

7:08
5

7:09
6

7:12
7

7:15
8

Start
Travel

Bus starts every 30 minutes

Route 2
6:50 6:56
12
11

7:02 7:06
13
14

[1, 6:57, 1, 6:57]

1

[1,6:57, 2,7:01]

0:04

2

0:02

7:10
15

[1,6:57, 3,7:03]

7:14
16

4

0:05

15
[2, 6:50, 1,7:10]
19

0:04

16

0:04

[1, 6:50, 3,7:14]

17
[1, 6:50,1,7:18]

7:21
18

[1, 6:57, 4,7:05]

0:02

3

7:18
17

Destination

0:03

18
[1, 6:50,1,7:21]

Dresden, August 2013

[Bus route = 1,
Start Time = 6:57,
Stop = 4,
Arrival time = 7:05]
Public Transport  Graph, the process
Node  Building
Node  [PTLine_ID, Stop_ID, ArrivalTime] (triple)
Link  (a) Possible path between building and PT stop accessible by foot;
Link  (b) Possible path between two sequential stops connected by the PT line;
Link  (c) Possible path stops connected by the transfer walk
Node impedance  (a) Population, Number of jobs
Link Impedance  (a) Walk time
Link Impedance  (b) PT travel time
Link Impedance  (c) Walk time + waiting time (Transfer time)

20

Dresden, August 2013
Public Transport  Graph, the outcome
AccessCity parameters

Day of the week

Trip start/finish time

Max time of waiting
at initial stop

Walk speed when
changing lines

Max travel time

Max number of
line changes

Calculate access area

22

Calculate service area

Dresden, August 2013
AccessCity works with any partition of the urban space: Cells

23

Dresden, August 2013
AccessCity works with any partition of the urban space: buildings

24

Dresden, August 2013
AccessCity is built on the neo4j graph database
http://www.neo4j.org/

25

Dresden, August 2013
Service and access area in AccessCity are currently implemented
as a part of the Dijkstra shortest path algorithm
We calculate service area based
on Dijkstra algorithm, starting
from every building

26

Dresden, August 2013
AccessCity is a scalable application
CALCULATION FOR ALL BUILDINGS CAN BE DONE IN PARALLEL
Performance: Service area for one building, 1-hour trip ~ 0.1 sec

Processor

Processor

Two-level parallelization

27

Dresden, August 2013

Threads
SOME RESULTS

28

Dresden, August 2013
Car service areas versus bus service area

Entire metropolitan area

Urban Land-uses

Car service area is essentially larger than bus service areas
29

Dresden, August 2013
The center of Tel-Aviv metropolitan: Accessibility maps between 07:00 – 07:30
Job
Accessibility

07:30
07:25
07:20
07:15
07:10
07:05
07:00
30

Dresden, August 2013
TAZ-resolution calculations

High-resolution calculations

We must work at high-resolution!

Average accessibility: 0.336
Relatively higher in the center
31

Average accessibility: 0.356
Relatively higher at the periphery

Dresden, August 2013
Passengers waste more time with the short trips!
Trip start: 7:00, No of transfers: 1

60 minutes trip
High-resolution: 0.336

50 minutes trip
High-resolution: 0.257

40 minutes trip
High-resolution: 0.179

30 minutes trip
High-resolution: 0.157

Low-resolution: 0.356

Low-resolution: 0.308

Low-resolution: 0.266

Low-resolution: 0.263

We could not see that at the low resolution
32

Dresden, August 2013
Light rail, if combined with the existing bus network
does not improve much…
Trip start: 7:00, No of transfers: 1

60 minutes trip
Av improvement: 1.5%

33

50 minutes trip
Av improvement: 2.5%

40 minutes trip
Av improvement: 3.3%

Dresden, August 2013

30 minutes trip
Av improvement: 4.6%
Towards transportation justice
7:00, trip duration 60 min, 1 transfer

Accessibility

TA public
transportation
system is not
just!

r2 = 0.054 (r = 0.23)

Socio-economic level

TAZ Socio-economic index (1 - 20)
34

Dresden, August 2013
Applications of the tool in transportation planning
• Assessment of public transport service improvements, e.g.
impacts of increase in frequencies for different population groups,
areas, land uses
• Identification of ‘pockets of inaccessibility’ in metropolitan area
• Accessibility planning for services
• Assessment of (public) transport investments, e.g., light rail

35

Dresden, August 2013
The future: Trial-And-Error public transport planning
with AccessCity

Questions?
I. Benenson, K. Martens, Y. Rofé and A. Kwartler, 2010,
Measuring the Gap Between Car and Transit Accessibility Estimating Access Using a High-Resolution Transit
Network Geographic Information System, Transportation Research Record: Journal of the Transportation Research
Board, N2144, 28–35
I. Benenson, K. Martens, Y. Rofé and A. Kwartler, 2011,
Public transport versus private car: GIS-based estimation of accessibility applied to the Tel Aviv metropolitan area,
Annals of Regional Science, 47:499–515
36

Dresden, August 2013

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Big Data Analysis for the High-Resolution View of Urban Public Transportation Accessibility

  • 1. Big Data Analysis for the High-Resolution View of Urban Public Transportation Accessibility Itzhak Benenson1, Dmitry Geyzersky2, Karel Martens3, Yodan Rofe4 1Department of Geography and Human Environment, Tel Aviv University, Israel 2Performit LTD, Israel (http://www.performit.co.il) 3Institute for Management Research, Radboud University Nijmegen, Holland 4Blaustein Institutes for Desert Research, Ben Gurion University of the Negev, Israel http://www.tau.ac.il/~bennya/ bennya@post.tau.ac.il 1 Dresden, August 2013
  • 2. What is accessibility? The extent to which land-use transport system enables individuals to reach destinations by means of transport modes1 • Given a destination: The number of origins from which a destination can be reached, given the amount of effort • Given an origin: The number of destinations that can be reached from the origin, given the amount of effort 1K.T. Geurs, J.T. Ritsema van Eck, 2001, “Accessibility measures: review and applications”, RIVM report 408505 006, Urban Research Center, Utrecht University 2 Dresden, August 2013
  • 3. Transport-based component of accessibility is car-based and aggregate How many activities can be reached with the car from the given origin during the given time? Accessibility changes abruptly at the boundary of an area 3 Dresden, August 2013
  • 4. Accessibility components Transportation: Components of transportation system performance (modes, travel time, cost, effort to travel between origin and destination) Land-use: Distribution of needs/activities (jobs, schools, shops) and population (workers, pupils, customers) in space and time Individual utility: The demand for trips between certain origins and destination, benefits people derive from the access to facilities 4 Guangzhou, June 2013
  • 5. The goal: To estimate accessibility from the user’s viewpoint The idea: To compare accessibility with the private car and with the public transport (and, probably, other modes, as bike) 5 Dresden, August 2013
  • 6. Accessibility depends on a transportation mode Public Transport Travel Time (PTT): PTT = Walk time from origin to a stop 1 of the PT + Waiting time of PT at stop 1 + Travel time of PT1 + [Transfer walk time to stop 2 of PT + Waiting time of PT 2 + Travel time of PT 2] + … + Walk time from the final stop to destination Private Car Travel Time (CTT): CTT = Walk time from origin to the parking place + Car trip time + Parking search time + Walk time from the final parking place to destination. Service area: Given origin O, transportation mode M and travel time t define Mode Service Area - MSAO(t) - as maximal area containing all destinations D that can be reached from O with M during MTT ≤ t. Access area: Given destination D, transportation mode M and travel time t define Mode Access Area – MSAD(t) - as maximal area containing all origins O from which given destination D can be reached during MTT ≤ t. We distinguish between Public Transport Service Area PSAO(t), Public Transport Access Area PAAO(t), Private Car Service Area CSAO(t), Private Car Access Area CAAO(t) 6 Dresden, August 2013
  • 7. We focus on measuring relative accessibility Service areas ratio: SAO(t) = PSAO(t)/CSAO(t) Access area ratio: AAD(t) = PAAD(t)/CAAD(t) 7 Dresden, August 2013
  • 8. IN A NEW ERA OF BIG DATA WE ARE ABLE TO ESTIMATE ACCESSIBILITY EXPLICITLY! Utrecht Metro 500 km2 0.6*106 pop 150 bus lines Tel Aviv Metro 600 km2 2.5*106 pop 300 bus lines 8 Dresden, August 2013
  • 10. Street network 104 ÷ 105 links Attributes: traffic directions, speed Necessary for measuring accessibility by car 10 Dresden, August 2013
  • 11. Bus lines – 102 ÷ 103 Bus stops 102 ÷ 103 Relation between bus lines and stops. Necessary for measuring bus accessibility 11 Dresden, August 2013
  • 12. Bus time-table 105 ÷ 106 Necessary for measuring bus accessibility 12 Dresden, August 2013
  • 13. Buildings and jobs, 105 - 106 Necessary for measuring activity component of accessibility 13 Dresden, August 2013
  • 14. Socio-economic level by traffic zones Land-uses, 105 ÷ 106 Car ownership Necessary for measuring activity component of bus accessibility Socio-economic level 14 Dresden, August 2013
  • 16. From transportation networks to graphs 16 Dresden, August 2013
  • 17. Translation of Road network into Graph is easy… Node  Junction Link  Road segment Impedance  Travel time Typical metropolitan road network graph has 104 - 105 nodes and links 17 Dresden, August 2013
  • 18. Every travel should be represented explicitly Destination Transfer Stop 1 Transfer Stop 2 Final Stop Initial Stop Origin 18 Dresden, August 2013
  • 19. Public Transport  Graph, the idea Route 1 Bus starts every 10 minutes 6:57 7:01 1 2 7:03 3 7:05 4 7:08 5 7:09 6 7:12 7 7:15 8 Start Travel Bus starts every 30 minutes Route 2 6:50 6:56 12 11 7:02 7:06 13 14 [1, 6:57, 1, 6:57] 1 [1,6:57, 2,7:01] 0:04 2 0:02 7:10 15 [1,6:57, 3,7:03] 7:14 16 4 0:05 15 [2, 6:50, 1,7:10] 19 0:04 16 0:04 [1, 6:50, 3,7:14] 17 [1, 6:50,1,7:18] 7:21 18 [1, 6:57, 4,7:05] 0:02 3 7:18 17 Destination 0:03 18 [1, 6:50,1,7:21] Dresden, August 2013 [Bus route = 1, Start Time = 6:57, Stop = 4, Arrival time = 7:05]
  • 20. Public Transport  Graph, the process Node  Building Node  [PTLine_ID, Stop_ID, ArrivalTime] (triple) Link  (a) Possible path between building and PT stop accessible by foot; Link  (b) Possible path between two sequential stops connected by the PT line; Link  (c) Possible path stops connected by the transfer walk Node impedance  (a) Population, Number of jobs Link Impedance  (a) Walk time Link Impedance  (b) PT travel time Link Impedance  (c) Walk time + waiting time (Transfer time) 20 Dresden, August 2013
  • 21. Public Transport  Graph, the outcome
  • 22. AccessCity parameters Day of the week Trip start/finish time Max time of waiting at initial stop Walk speed when changing lines Max travel time Max number of line changes Calculate access area 22 Calculate service area Dresden, August 2013
  • 23. AccessCity works with any partition of the urban space: Cells 23 Dresden, August 2013
  • 24. AccessCity works with any partition of the urban space: buildings 24 Dresden, August 2013
  • 25. AccessCity is built on the neo4j graph database http://www.neo4j.org/ 25 Dresden, August 2013
  • 26. Service and access area in AccessCity are currently implemented as a part of the Dijkstra shortest path algorithm We calculate service area based on Dijkstra algorithm, starting from every building 26 Dresden, August 2013
  • 27. AccessCity is a scalable application CALCULATION FOR ALL BUILDINGS CAN BE DONE IN PARALLEL Performance: Service area for one building, 1-hour trip ~ 0.1 sec Processor Processor Two-level parallelization 27 Dresden, August 2013 Threads
  • 29. Car service areas versus bus service area Entire metropolitan area Urban Land-uses Car service area is essentially larger than bus service areas 29 Dresden, August 2013
  • 30. The center of Tel-Aviv metropolitan: Accessibility maps between 07:00 – 07:30 Job Accessibility 07:30 07:25 07:20 07:15 07:10 07:05 07:00 30 Dresden, August 2013
  • 31. TAZ-resolution calculations High-resolution calculations We must work at high-resolution! Average accessibility: 0.336 Relatively higher in the center 31 Average accessibility: 0.356 Relatively higher at the periphery Dresden, August 2013
  • 32. Passengers waste more time with the short trips! Trip start: 7:00, No of transfers: 1 60 minutes trip High-resolution: 0.336 50 minutes trip High-resolution: 0.257 40 minutes trip High-resolution: 0.179 30 minutes trip High-resolution: 0.157 Low-resolution: 0.356 Low-resolution: 0.308 Low-resolution: 0.266 Low-resolution: 0.263 We could not see that at the low resolution 32 Dresden, August 2013
  • 33. Light rail, if combined with the existing bus network does not improve much… Trip start: 7:00, No of transfers: 1 60 minutes trip Av improvement: 1.5% 33 50 minutes trip Av improvement: 2.5% 40 minutes trip Av improvement: 3.3% Dresden, August 2013 30 minutes trip Av improvement: 4.6%
  • 34. Towards transportation justice 7:00, trip duration 60 min, 1 transfer Accessibility TA public transportation system is not just! r2 = 0.054 (r = 0.23) Socio-economic level TAZ Socio-economic index (1 - 20) 34 Dresden, August 2013
  • 35. Applications of the tool in transportation planning • Assessment of public transport service improvements, e.g. impacts of increase in frequencies for different population groups, areas, land uses • Identification of ‘pockets of inaccessibility’ in metropolitan area • Accessibility planning for services • Assessment of (public) transport investments, e.g., light rail 35 Dresden, August 2013
  • 36. The future: Trial-And-Error public transport planning with AccessCity Questions? I. Benenson, K. Martens, Y. Rofé and A. Kwartler, 2010, Measuring the Gap Between Car and Transit Accessibility Estimating Access Using a High-Resolution Transit Network Geographic Information System, Transportation Research Record: Journal of the Transportation Research Board, N2144, 28–35 I. Benenson, K. Martens, Y. Rofé and A. Kwartler, 2011, Public transport versus private car: GIS-based estimation of accessibility applied to the Tel Aviv metropolitan area, Annals of Regional Science, 47:499–515 36 Dresden, August 2013