Macroscopic Fundamental Diagram Validation for Collision Formation on Freeway Networks

  • Claire E. SilversteinEmail author
  • Samer H. Hamdar
  • Seungmo Kang
  • Kitae Jang
Conference paper


Since the introduction of the macroscopic fundamental diagram (MFD), much work has been conducted using field data to estimate MFDs. However, despite some incorporation of collision occurrence into MFD assessment, there have not been any successful attempts to derive/validate the macroscopic fundamental diagram for collision formation. The objective of this research is to validate the MFD for full and partial lane closure due to collision formation. To accomplish such objective, the authors use microscopic collision and loop detector data from the Korea Expressway Corporation (KEC) and account for complete and partial lane closure due to collision in a similar manner to previous research in its incorporation of mixed traffic; collisions are considered moving bottlenecks in the same way as buses are in the previous research. Additionally, a principal component analysis is conducted on the mentioned traffic characteristics as well as lane closure times to investigate the relationships between MFDs and collision lane closures.


  1. 1.
    Alsalhi, R., Dixit, V.: The relationship between traffic safety and macroscopic fundamental diagram (MFD). In: 37th Australasian Transport Research Forum (ATRF), 2015, Sydney, New South Wales (2015)Google Scholar
  2. 2.
  3. 3.
    Daganzo, C.F.: Urban gridlock: macroscopic modeling and mitigation approaches. Transp. Res. B Methodol. 41(1), 49–62 (2007)CrossRefGoogle Scholar
  4. 4.
    Daganzo, C.F., Geroliminis, N.: An analytical approximation for the macroscopic fundamental diagram of urban traffic. Transp. Res. B Methodol. 42(9), 771–781 (2008)CrossRefGoogle Scholar
  5. 5.
    Geroliminis, N., Sun, J.: Hysteresis phenomena of a macroscopic fundamental diagram in freeway networks. Transp. Res. A Policy Pract. 45(9), 966–979 (2011)CrossRefGoogle Scholar
  6. 6.
    Golob, T.F., Recker, W.W., Alvarez, V.M.: Freeway safety as a function of traffic flow. Accid. Anal. Prev. 36(6), 933–946 (2004)CrossRefGoogle Scholar
  7. 7.
    Hoogendoorn, S.P., Knoop, V.L., van Lint, H., Vu, H.L.: Applications of the generalized macroscopic fundamental diagram. In: Traffic and Granular Flow’13, pp. 577–583. Springer, Berlin (2015)Google Scholar
  8. 8.
    Jolliffe, I.T.: Principal component analysis and factor analysis. In: Principal Component Analysis, pp. 150–166. Springer, Berlin (2002)Google Scholar
  9. 9.
    Kerner, B.S.: Three-phase traffic theory and highway capacity. Physica A 333, 379–440 (2004)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Knoop, V., Hoogendoorn, S., van Zuylen, H.: Capacity reduction at incidents: empirical data collected from a helicopter. Transp. Res. Rec. J. Transp. Res. Board 2071, 19–25 (2008)CrossRefGoogle Scholar
  11. 11.
    Schorr, J.P., Hamdar, S.H., Kang, S., Jang, K., Kachouch, H.: From structural equation modeling to macroscopic fundamental diagrams: investigating the impact of road segments safety on network level efficiency. In: 17th International Conference Road Safety on Five Continents (RS5C 2016), Rio de Janeiro, 17–19 May 2016, pp. 1–17. Statens väg-och transportforskningsinstitut (2016)Google Scholar
  12. 12.
    Xie, X., Chiabaut, N., Leclercq, L.: Macroscopic fundamental diagram for urban streets and mixed traffic: cross comparison of estimation methods. Transp. Res. Rec. J. Transp. Res. Board 2390, 1–10 (2013)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Claire E. Silverstein
    • 1
    Email author
  • Samer H. Hamdar
    • 1
  • Seungmo Kang
    • 2
  • Kitae Jang
    • 3
  1. 1.George Washington UniversityWashingtonUSA
  2. 2.Korea UniversitySeoulSouth Korea
  3. 3.Korea Advanced Institute of Science and TechnologyDaejeonSouth Korea

Personalised recommendations