City form and its macroscopic fundamental diagram

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1 Research Collection Presentation City form and its macroscopic fundamental diagram Author(s): Axhausen, Kay W. Publication Date: Permanent Link: Rights / License: In Copyright - Non-Commercial Use Permitted This page was generated automatically upon download from the ETH Zurich Research Collection. For more information please consult the Terms of use. ETH Library

2 Preferred citation style Axhausen, K.W. (2017) City form and its macroscopic fundamental diagram, presentation as part of the course Projects for mobility in the smart city, DTU, Lynby, June

3 City form and its macroscopic fundamental diagram KW Axhausen IVT ETH Zürich June 2018

4 Acknowledgments The co-authors and colleagues: A Loder, ETH L Ambühl, ETH M Bliemer., University of Sydney M Menendez, NYU Abu Dhabi, earlier ETH

5 Hypotheses Urban networks have a stable fundamental diagram The extent of the network (parts) needs to be found The parameters of the MFD can be predicted with the urban form and public transport network

6 Early work

7 Smeed (1968)

8 Godfrey (1969) % of Maximum vehicle miles / hour Mean journey speed (mph) Network vehicle miles in one hour

9 Ardekani and Herman (1985)

10 Mahmassani, Williams and Herman (1987)

11 Macroscopic (network) fundamental diagram Abstracting urban networks into a reservoir (Daganzo and Geroliminis, 2008) MFD:!(") quantifies reservoir outflow as a function of cars in the network. Shape of!(") is function of network design signal control route choice

12 Daganzo and Gerolimins, 2008a MFD by cuts

13 MFD Yokohama taxi data Daganzo and Gerolimins, 2008b

14 More, but few empirically measured MFDs Buisson and Ladier,, 2009

15 More, but few MFDs Ji, Luo nd Geroliminis,, 2014

16 What else do we know about network performance

17 Intersection density and travel times (CHF)

18 Ortigosa,, 2015 Intersection density and travel times (CHF)

19 In summary, the hypotheses were Shape of!(") is function of network design Intersection density Lane miles Interaction with bus/tram networks Intersection (signal) control Cycle length Public transport priority Turning movements route choice Bottlenecks in the network

20 Work at the IVT Large scale and comparative empirical analysis of MFDs Establish novel methods for MFD field work Methods to analyze productivity and efficiency of multimodal urban networks

21 Data available at the IVT Traffic data from stationary sensors (loop detectors) (46 cities) Road and PT networks from OpenStreetMap PT AVL data from Zurich and London TomTom data for Zurich

22 Cleaning and fusing data Issues: Sensor type: FCD, LDD? Spatial and temporal distribution in the network Identifying malfunctional detectors Checking for homogeneity Identifying the critical point (capacity, critical density) Approaches Spatial filtering turn-movements in OSM (FRC 1-3= E ppr estimation MFD calibration with google speed data Data fusion Smoothing ARIMA Data correction Resampling for heterogenity

23 Re-sampled MFD approach Ambühl, Loder, Bliemer, Menendez and Axhausen, 2018 Heterogeneity / Additional capacity re-sampled MFD! is observable standard MFD

24 Re-sampled MFD approach: Measuring the heterogenity Ambühl, Loder, Bliemer, Menendez and Axhausen, 2018

25 MFDs as a probe of operational quality

26 A functional form for the MFD! " = min '"; ); * + ". ln exp exp 7 5 exp 8 9:4 5

27 A functional form for the MFD with partial knowledge

28 What will happen with AVs?

29 What will happen with AVs?

30 Extending the approach to 3 modes and 3D MFDs

31 Defining a functional form for the 3D MFDs

32 Define the planes (cuts) as upper limits for the 3D-MFD Road network Signal control Bus priority strategy Bus headway Stop headway Bus network design (e.g. hub and spoke) Dedicated lanes

33 Loder, Bressan, Ambühl, Bliemer and Axhausen (2018) Create planes

34 Loder, Bressan, Ambühl, Bliemer and Axhausen (2018) and the 3D-MFD function

35 First results using the approximation approach Loder, Bressan, Ambühl, Bliemer and Axhausen (2018) Zurich London

36 Modelling with 3D MFDs: Zürich

37 3D-MFD: Passenger flows

38 3D-MFD a la Greenshield (1935) and Gerolimins et al. (2014) Car speed PT speed Free flow speed of cars Marginal effect of one additional car or PT vehicle, respectively PT speed as a fraction of car speeds. Unobserved effects contributing to PT speeds (dedicated lanes, station design etc.)

39 Finding the optimal modal split

40 Comparing MFDs

41 How far are we?

42 What have we achieved? First large scale and comparative empirical analysis of MFDs Establish novel methods for MFD field work Methods to analyze productivity and efficiency of multi-modal urban networks Empirical MFD data will be shared among community after publication

43 What needs to be done? Analyzing congestion itself, its duration and intra- and interday patterns Productivity of multi-modal urban road networks in an AV age. Identification of the drivers of λ, can λ alone describe the shape of the MFD? Detailed analysis of effects of bus network design and operations on the 3D-MFD. Link between the 3D-MFD, pricing and human behavior to identify the realizable total productivity of multi-modal urban networks.

44 Questions?

45 References Ambühl, L., A. Loder, H. Becker, M. Menendez and K.W. Axhausen (2018) Evaluating London s congestion charge: An approach using the macroscopic fundamental diagram, paper presented at the 7 th Transport Research Arena (TRA 2018), Vienna, April 2018 Ambühl, L., A. Loder, M. Bliemer, M. Menendez and K.W. Axhausen (2017) A functional form for the macroscopic fundamental diagram with a physical meaning, Arbeitsberichte Verkehrs- und Raumplanung, 1306, IVT ETH Zurich, Zurich Ambühl, L., A. Loder, M. Menendez and K.W. Axhausen (2017) Empirical Macroscopic Fundamental Diagrams: Insights from loop detector and floating car data, paper presented at the 96th Annual Meeting of the Transportation Research Board (TRB 2017), Washington, DC, January 8-12 Ambühl, L., A. Loder, M. Menendez and K.W. Axhausen (2017) Performance of dynamic urban traffic allocation, paper presented at the 17 th Swiss Transport Research Conference, Ascona, May 2017 Ambühl, L., A. Loder, M. Menendez and K.W. Axhausen (2018) A case study of Zurich s two-layered perimeter control, paper presented at the 7 th Transport Research Arena (TRA 2018), Vienna, April Ambuḧl, L., A. Loder, M. Menendez and K.W. Axhausen (Forthcoming) Empirical macroscopic fundamental diagrams: New insights from loop detector and floating car data, Transportation Research Record

46 References Ambühl, L., A. Loder, M.C.J. Bliemer, M. Menendez and K.W. Axhausen (Forthcoming) Introducing a resampling methodology for the estimation of empirical macroscopic fundamental diagrams, Transportation Research Record. Ambühl, L., A. Loder, N. Zheng, M. Menendez and K.W. Axhausen (2018) Approximative network partitioning for MFDs from stationary sensor data, paper presented at the 18th Swiss Transport Research Conference, Ascona, May Ambühl, L., and M. Menendez Data fusion algorithm for macroscopic fundamental diagram estimation, Transportation Research. Part C, Emerging Technologies, 71, Ardekani, S.A. and R. Herman (1985) A comparison of the quality of traffic service in downtown networks of various cities around the world, Traffic Engineering and Control, 27, Buisson, C. and C. Ladier (2009) Exploring the Impact of Homogeneity of Traffic Measurements on the Existence of Macroscopic Fundamental Diagrams, Transportation Research Record: Journal of the Transportation Research Board, 2124, Daganzo, C.F., and N. Geroliminis (2008a) An analytical approximation for the macroscopic fundamental diagram of urban traffic, Transportation Research Part B: Methodological, 42, Geroliminis, N. and C.F. Daganzo (2008b) Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings, Transportation Research Part B: Methodological, 42,

47 References Geroliminis, N., N. Zheng and K. Ampountolas (2014) A three-dimensional macroscopic fundamental diagram for mixed bi-modal urban networks, Transportation Research Part C: Emerging Technologies, 42, Godfrey, J.W. (1969) The Mechanism of a road network, Traffic Engineering and Control, 11, Greenshields, B.D. (1935) A study of highway capacity, Highway Research Board Proceedings, 14, Ji, Y., J. Luo and N. Geroliminis (2014).Empirical observations of congestion propagation and dynamic partitioning with probe data for large-scale systems, Transportation Research Record: Journal of the Transportation Research Board, 2422, Loder, A., L. Ambühl, M. Menendez and K.W. Axhausen (2017) Empirics of multimodal traffic networks - Using the 3D macroscopic fundamental diagram, Transportation Research C, 82, Loder, A., L. Ambühl, M. Menendez and K.W. Axhausen (2017) Influence of network features on the parameters of the macroscopic fundamental diagram, paper presented at the 6th Symposium of the European Association for Research in Transportation (heart 2017), Haifa, September Loder, A., L. Ambühl, M. Menendez and K.W. Axhausen (2017) Network features and MFD parameters, paper presented at the 17 th Swiss Transport Research Conference, Ascona, May 2017

48 References Loder, A., L. Ambühl, M. Menendez and K.W. Axhausen (2017) The MFD and the built environment: A new perspective on traffic problems in towns, paper presented at the 6th Symposium of the European Association for Research in Transportation (heart 2017), Haifa, September Loder, A., L. Ambühl, M. Menendez and K.W. Axhausen (2018) Traffic problems in towns - An empirical analysis with macroscopic fundamental diagrams from cities around the world, paper presented at the 97 th Annual Meeting of the Transportation Research Board, Washington, D.C., January 2018 Loder, A., L. Bressan, L. Ambühl, M. C.J. Bliemer and K.W. Axhausen (2018) Modeling multi-modal traffic in cities, paper presented at the 18th Swiss Transport Research Conference (STRC 2018), Ascona, May Mahmassani, H., J.C. Williams and R. Herman (1987) Performance of urban traffic networks, in N.H. Gartner and N.H.M. Wilson (eds.) Proceedings of the 10th International Symposium on Transportation and Traffic Theory, 1-20), Elsevier, Amsterdam. Menendez, M., J. Ortigosa, L. Ambühl, K.W. Axhausen, F. Ciari, P.M. Bösch, N. Geroliminis and N. Zheng (2016) NetCap: Intermodale Strecken- /Linien- und Netzleistungsfähigkeit, Schriftenreihe, 1563, UVEK, Bern.

49 References Menendez, M., L. Ambühl, A. Loder and K.W. Axhausen (2017) Macroscopic estimation of multimodal traffic using loop detectors and transit data, paper presented at the 3rd International Workshop and Symposium on Transit Data: Research and Applications on the Use of Passive Data from Public Transport (TransitData 2017), Santiago de Chile, May Schreiber, A., A. Loder and K.W. Axhausen (2016) Urban mode and subscription choice - An application of the three-dimensional MFD, paper presented at the 16 th Swiss Transport Research Conference, Ascona, May 2016 Smeed, R.J. (1968) Traffic studies and urban congestion, Journal of Transport Economics and Policy, 2 (1) Vitins, B.J. (2014) Shape Grammars for Urban Network Design, Doctoral Thesis, ETH- Zürich, Zürich.

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