Fixed-interval Segmentation for Travel-time Estimations
                         in Traffic Maps




                         JoshuaStevens

                         KirkGoldsberry



Feb. 25 | AAG 2012 NY   Spatiotemporal Thinking, Computing, and Applications IV
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Outline
         – Traffic, congestion, uncertainty
         – Maps as part of the solution
         – Trouble w/ existing designs
         – Prototypes: Considering segmentation
         – Empirical evaluation
         – Findings
         – Conclusions
         – Limitations
Introduction   Traffic Maps   Prototypes    Results      Conclusions

     • Congestion is a geographic hindrance, affecting
       millions of drivers every day
Introduction    Traffic Maps               Prototypes                              Results   Conclusions

     • More than an inconvenience
         – Congestion = costs
         – 4.8 billion hours in delays

         – 1.9 billion gallons in wasted fuel

         – $101 billion in expenses paid by commuters
                               2011 Urban Mobility Report, Texas Transportation Institute
Introduction     Traffic Maps   Prototypes   Results   Conclusions

     • Congestion in other terms
         – $713 per urban commuter in 2010
         – Experienced delay = 34 hours/yr
               • Or…4 vacation days
Introduction      Traffic Maps   Prototypes           Results        Conclusions

     • Systems exist to enhance efficiency
         – ITS: Intelligent Transportation Systems
         – ATIS: Advanced Traveler Information
           Systems
               • Usually broadcast by radio and in-vehicle units


     “ATIS-equipped drivers make better
     decisions and fewer late route diversions,
     which increases network efficiency.”
                                              - Al-Deek and Khattak (1998)
Introduction   Traffic Maps   Prototypes      Results                Conclusions

     • Decisions can be aided by travel-times




                                           Rand McNally Road Atlas
Introduction   Traffic Maps   Prototypes   Results   Conclusions
Introduction   Traffic Maps   Prototypes   Results   Conclusions
Introduction   Traffic Maps   Prototypes   Results   Conclusions
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Variations of a single design approach
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Typical traffic maps don‟t provide
       answers ….they pose questions

     • To determine travel-time:
         – Estimate distance(s)
         – Guess velocities
         – Perform mental arithmetic
Introduction   Traffic Maps   Prototypes   Results   Conclusions
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Conventional traffic maps lack explicit
       segmentation
         – Multiple and varying segment lengths
         – Ambiguous velocities



     • We can address these limitations through
       map design
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • We designed two prototypes:
         – Improve distance estimation
         – Provide more detailed velocities
         – Or…represent travel-times directly
Introduction   Traffic Maps   Prototypes   Results          Conclusions

     • Prototype 1: Equal-interval method
         – Fixed segment lengths used elsewhere




                                             Source: USGS
Introduction   Traffic Maps   Prototypes   Results   Conclusions
Introduction      Traffic Maps    Prototypes      Results   Conclusions

     • Prototype 2: Fixed-minute method
         – Each segment has temporal length

         – Reminiscent of isochrone approach
               • But…not restricted to a single origin or
                 destination
Introduction   Traffic Maps   Prototypes   Results   Conclusions
Introduction      Traffic Maps   Prototypes    Results     Conclusions

     • Can map-readers estimate travel-times?
         – Do our designs improve these estimations?


     • We designed an experiment
         – 60 questions over 3 categories
               • Arithmetic
               • Distance estimation (control vs segmented)
               • Travel-time estimation (conventional vs our
                 proposed alternatives)
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • About our participants
         – n = 49
         – Ages 18 – 33 (mode 20)
         – All had driving experience
         – All were MSU students, solicited across
           campus
         – Given $10 for participation
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Arithmetic
Introduction          Traffic Maps          Prototypes              Results    Conclusions

     • Arithmetic
           – Considered „correct‟ if within 15%
                • 74.08 % correct, 87.14% confident
        100
           80
           60
           40
           20
            0
                                        Correct     Confident
                                                                t (mean >
       n        Min       Max     Median    Mean % Error                       p
                                                                threshold)

      490       0.00     316.70      4.17         16.47           1.01        0.31
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Distance Estimation
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Distance Estimation
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Distance Estimation
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Distance Estimation
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Travel-time Estimation
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Travel-time Estimation
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • Travel-time Estimation
Introduction       Traffic Maps           Prototypes              Results               Conclusions

     • Travel-time Estimation


                                                                            % Correct

                                                       Conventional            27.55%

                                                       Equal-Interval          26.33%

                                                       Fixed-minute            79.39%




                           Mean Error                     ANOVA p-Matrix: Error
                                                              Equal-interval     Fixed-minute
          Conventional    19.77 minutes
                                              Fixed-minute         0.011                -
         Equal-Interval   13.57 minutes

          Fixed-minute    5.52 minutes        Conventional         0.044            < .001
Introduction       Traffic Maps          Prototypes   Results   Conclusions

     • Travel-time Estimation




                         Mean Response Time

         Conventional          26.03 s

        Equal-Interval         28.07 s

         Fixed-minute         18.64* s
Introduction   Traffic Maps   Prototypes   Results   Conclusions

     • User Preference
Introduction   Traffic Maps   Prototypes     Results     Conclusions

     • User Feedback
       “I hated the [Google and equal-interval] maps
       because you really had to think, and do math in
       your head, which I did not enjoy.”


       “The [fixed-minute] map was easiest...The other
       maps were confusing.”

       “I really hope they never start using the type of
       maps that had 3 different colors for slow, fast, etc.
       I‟d never get anywhere on time.”
Introduction      Traffic Maps    Prototypes      Results     Conclusions

     • Conclusions
         – Design matters: Segmentation can
           significantly influence estimation
         – Conventional designs are not sufficient
               • Most popular design makes conditions appear
                 less severe than they are
         – These differences are likely to affect route
           decisions
         – Not limited to traffic maps
               • Great opportunities for rail/subway in particular
Introduction      Traffic Maps   Prototypes     Results     Conclusions

     • Limitations
         – Suitable for in-vehicle navigation units?
               • Oblique view not evaluated
         – Difficult symbology
               • Requires some manual adjustments
               • Presents challenge for real-time implementation
         – University students should be good w/ math
               • Same results with general sample?
Introduction      Traffic Maps   Prototypes      Results     Conclusions

     • Acknowledgements
         – My M.S. committee at MSU
               • Dr. Kirk Goldsberry, Dr. Judy Olson, Dr. Ashton
                 Shortridge
         – California Dept. of Transportation



         – The MSU department of Geography
         – Many at Penn State for advice, critique, and
           new ideas
Introduction     Traffic Maps   Prototypes     Results     Conclusions

     • Questions & Contact Info



               Joshua Stevens | josh.stevens@psu.edu

               Kirk Goldsberry | kgoldsberry@fas.harvard.edu

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Stevens-Goldsberry | Fixed-interval Segmentation for Travel-time Estimations in Traffic Maps

  • 1. Fixed-interval Segmentation for Travel-time Estimations in Traffic Maps JoshuaStevens KirkGoldsberry Feb. 25 | AAG 2012 NY Spatiotemporal Thinking, Computing, and Applications IV
  • 2. Introduction Traffic Maps Prototypes Results Conclusions • Outline – Traffic, congestion, uncertainty – Maps as part of the solution – Trouble w/ existing designs – Prototypes: Considering segmentation – Empirical evaluation – Findings – Conclusions – Limitations
  • 3. Introduction Traffic Maps Prototypes Results Conclusions • Congestion is a geographic hindrance, affecting millions of drivers every day
  • 4. Introduction Traffic Maps Prototypes Results Conclusions • More than an inconvenience – Congestion = costs – 4.8 billion hours in delays – 1.9 billion gallons in wasted fuel – $101 billion in expenses paid by commuters 2011 Urban Mobility Report, Texas Transportation Institute
  • 5. Introduction Traffic Maps Prototypes Results Conclusions • Congestion in other terms – $713 per urban commuter in 2010 – Experienced delay = 34 hours/yr • Or…4 vacation days
  • 6. Introduction Traffic Maps Prototypes Results Conclusions • Systems exist to enhance efficiency – ITS: Intelligent Transportation Systems – ATIS: Advanced Traveler Information Systems • Usually broadcast by radio and in-vehicle units “ATIS-equipped drivers make better decisions and fewer late route diversions, which increases network efficiency.” - Al-Deek and Khattak (1998)
  • 7. Introduction Traffic Maps Prototypes Results Conclusions • Decisions can be aided by travel-times Rand McNally Road Atlas
  • 8. Introduction Traffic Maps Prototypes Results Conclusions
  • 9. Introduction Traffic Maps Prototypes Results Conclusions
  • 10. Introduction Traffic Maps Prototypes Results Conclusions
  • 11. Introduction Traffic Maps Prototypes Results Conclusions • Variations of a single design approach
  • 12. Introduction Traffic Maps Prototypes Results Conclusions • Typical traffic maps don‟t provide answers ….they pose questions • To determine travel-time: – Estimate distance(s) – Guess velocities – Perform mental arithmetic
  • 13. Introduction Traffic Maps Prototypes Results Conclusions
  • 14. Introduction Traffic Maps Prototypes Results Conclusions • Conventional traffic maps lack explicit segmentation – Multiple and varying segment lengths – Ambiguous velocities • We can address these limitations through map design
  • 15. Introduction Traffic Maps Prototypes Results Conclusions • We designed two prototypes: – Improve distance estimation – Provide more detailed velocities – Or…represent travel-times directly
  • 16. Introduction Traffic Maps Prototypes Results Conclusions • Prototype 1: Equal-interval method – Fixed segment lengths used elsewhere Source: USGS
  • 17. Introduction Traffic Maps Prototypes Results Conclusions
  • 18. Introduction Traffic Maps Prototypes Results Conclusions • Prototype 2: Fixed-minute method – Each segment has temporal length – Reminiscent of isochrone approach • But…not restricted to a single origin or destination
  • 19. Introduction Traffic Maps Prototypes Results Conclusions
  • 20. Introduction Traffic Maps Prototypes Results Conclusions • Can map-readers estimate travel-times? – Do our designs improve these estimations? • We designed an experiment – 60 questions over 3 categories • Arithmetic • Distance estimation (control vs segmented) • Travel-time estimation (conventional vs our proposed alternatives)
  • 21. Introduction Traffic Maps Prototypes Results Conclusions • About our participants – n = 49 – Ages 18 – 33 (mode 20) – All had driving experience – All were MSU students, solicited across campus – Given $10 for participation
  • 22. Introduction Traffic Maps Prototypes Results Conclusions • Arithmetic
  • 23. Introduction Traffic Maps Prototypes Results Conclusions • Arithmetic – Considered „correct‟ if within 15% • 74.08 % correct, 87.14% confident 100 80 60 40 20 0 Correct Confident t (mean > n Min Max Median Mean % Error p threshold) 490 0.00 316.70 4.17 16.47 1.01 0.31
  • 24. Introduction Traffic Maps Prototypes Results Conclusions • Distance Estimation
  • 25. Introduction Traffic Maps Prototypes Results Conclusions • Distance Estimation
  • 26. Introduction Traffic Maps Prototypes Results Conclusions • Distance Estimation
  • 27. Introduction Traffic Maps Prototypes Results Conclusions • Distance Estimation
  • 28. Introduction Traffic Maps Prototypes Results Conclusions • Travel-time Estimation
  • 29. Introduction Traffic Maps Prototypes Results Conclusions • Travel-time Estimation
  • 30. Introduction Traffic Maps Prototypes Results Conclusions • Travel-time Estimation
  • 31. Introduction Traffic Maps Prototypes Results Conclusions • Travel-time Estimation % Correct Conventional 27.55% Equal-Interval 26.33% Fixed-minute 79.39% Mean Error ANOVA p-Matrix: Error Equal-interval Fixed-minute Conventional 19.77 minutes Fixed-minute 0.011 - Equal-Interval 13.57 minutes Fixed-minute 5.52 minutes Conventional 0.044 < .001
  • 32. Introduction Traffic Maps Prototypes Results Conclusions • Travel-time Estimation Mean Response Time Conventional 26.03 s Equal-Interval 28.07 s Fixed-minute 18.64* s
  • 33. Introduction Traffic Maps Prototypes Results Conclusions • User Preference
  • 34. Introduction Traffic Maps Prototypes Results Conclusions • User Feedback “I hated the [Google and equal-interval] maps because you really had to think, and do math in your head, which I did not enjoy.” “The [fixed-minute] map was easiest...The other maps were confusing.” “I really hope they never start using the type of maps that had 3 different colors for slow, fast, etc. I‟d never get anywhere on time.”
  • 35. Introduction Traffic Maps Prototypes Results Conclusions • Conclusions – Design matters: Segmentation can significantly influence estimation – Conventional designs are not sufficient • Most popular design makes conditions appear less severe than they are – These differences are likely to affect route decisions – Not limited to traffic maps • Great opportunities for rail/subway in particular
  • 36. Introduction Traffic Maps Prototypes Results Conclusions • Limitations – Suitable for in-vehicle navigation units? • Oblique view not evaluated – Difficult symbology • Requires some manual adjustments • Presents challenge for real-time implementation – University students should be good w/ math • Same results with general sample?
  • 37. Introduction Traffic Maps Prototypes Results Conclusions • Acknowledgements – My M.S. committee at MSU • Dr. Kirk Goldsberry, Dr. Judy Olson, Dr. Ashton Shortridge – California Dept. of Transportation – The MSU department of Geography – Many at Penn State for advice, critique, and new ideas
  • 38. Introduction Traffic Maps Prototypes Results Conclusions • Questions & Contact Info Joshua Stevens | josh.stevens@psu.edu Kirk Goldsberry | kgoldsberry@fas.harvard.edu

Editor's Notes

  • #4: Congestion introduces environment uncertainty…we know where we are going, but not how long it will take!
  • #5: 4.8 billion hours &gt;= 1,400 days of Americans playing Angry BirdsNew studies emerging linking traffic to heart disease and other illnesses (due to emissions, not rage!)Largest sectornot shipping and freight, but light-duty commuters
  • #6: Recession = less money, less excess travel. Better ways to get people driving less -&gt; make their drives more efficient
  • #7: Signs along highway ‘tune into AM 410…”… but we can also map this info!
  • #8: Based on static speed limit informationWe can improve this with real-time traffic conditions
  • #14: Recall the conventional design. What does slow mean? Fast? Can you estimate route distance using linear scale bar?
  • #17: Has precedent…sort of. Dashes used to establish hierarchy between road types.On 1:24k map, dash size is 240 feet, but this isn’t explicitly stated on map, nor designed for estimation.
  • #24: Unreasonable to expect perfect accuracyArithmetic not a problem…poor travel-time estimations then relate to map interpretation
  • #28: Clearly segmentation has a positive influence on distance estimation
  • #32: Directional bias with conventional map (11.77 minutes underestimation) conditions look better than they areSlight over-estimation with fixed-minute map….91 seconds
  • #33: Fixed-minute design the only significant difference p = .007).