Title: Choice Modeling in Transportation
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2SMILE! Youre on Traffic Light Camera Applying
Stated Choice Modelingin Transportation
- W. Douglass Shaw (presenter)
- Dept. of Agricultural Economics and Recreation,
Parks and Tourism Sciences - April 14, 2008
3Acknowledgments
- The graduate students in this semesters Ag.
Econ. 695 (Frontiers in Natural Resource and
Environmental Economics) and RPTS 616 (Economics
of Tourism and Recreation) - Especially Lindsey Higgins (Ag. Econ.), Liam
Carr (Geography) - Conversations on CM with Bill Breffle (and 2 of
his slides), Barbara Kanninen, Edward Morey, Mary
Riddel
4My Main Contributionto Economics?
- Probably
- We (Pete Feather and I) showed that people can
have an opportunity cost of their time that
exceeds their wage rate (see Economic Inquiry
2000 J. of Environmental Economics and
Management 1999) - Are there any applications to transportation of
that?
5Links to Transportation?
- Somebody apparently thought so
- Peter is now the Chief of the Fuel Economy
Division at the United States Department of
Transportation - He is an environmental and natural resource
economist
6Outline / Preview
- Hope I could present some statistical results
from the graduate seminar class project on
choice modeling - Not quite ready, but Ill show you what we have
so far. - So, this talk is an overview of stated choice
modeling method and how it can be applied to some
transportation issues. - What are experimental/economic choice models and
how can these be used to model transportation-rela
ted preferences and behaviors?
7Audience Knowledge?
- How many here today know about stated choice
models as a tool that can be used to evaluate
transportation-related preferences? - Some big transportation names of people who
have done this kind of modeling include C. Bhat,
Dan McFadden, Moshe Ben Akiva, David Hensher, S.
Lerman, Jordan Louviere, Charles Manski, Kenneth
Train - Not sure any of these people are exclusively
transportation researchers per se. - Lots of SCM papers published recently in the
journals Transportation, Transportation Research,
Transport Policy, Journal of Transportation
Economics and Policy, etc.
8A Little Technical Stuff
- Choice modeling is similar to Conjoint analysis
- Stated Preferences/choices/rankings can be used
(so can data from actual or real choices) - Most use discrete choice analysis
(econometrics) - Designs vary from
- Paired Designs (Choose A or Choose B)
- Multiple Choice Designs (Choose one from A,B,C)
- Rank these routes (more often done in conjoint)
9Discrete Choice Econometrics
- As there are typically few choices, the error
terms are not continuously/normally distributed
rather, they relate to discrete distributes - The old standard is to use the extreme value
distribution leading to the logit or multinomial
logit - The new standard is to use the mixed or random
parameters logit, or perhaps, a panel (fixed or
random effects) logit model
10Experiments?
- Laboratory experiments are designed to control
for every aspect that influences the outcome - Choice experiments seek the same level of control
- Unlike using revealed preference data (e.g. data
on your actual trips) the researcher here
constructs every aspect of a choice alternative
in a stated choice model (SCM) - Choices can be made in a computer laboratory
setting
11Another Advantage of SCMs
- Suppose you want to market a new product or
idea? - The idea is a plan, as in a planned new
transportation route or alternative - Define the attributes of the new route and
develop an SCM - In Transportation New airline, bus route
service new airplane configuration (more leg
room) the new Texas highway toll roads new HOV
lanes congestion taxes, new parking facilities
new sidewalks new traffic lights remove traffic
lights rotaries (new Beaver Creek, Colorado),
etc, etc
12Essentials of Experimental Design
- The Alternatives
- The Attributes of the alternatives
- The Levels of the attributes
- How are these designed so as to elicit the most
information possible without increasing the
complexity such that individuals cannot perform
the experiment?
13A Little More Jargon
- A profile is a single alternative that is
described by the levels of each attribute - A choice set is a set of alternatives (two or
more) presented to the individual, e.g. A versus
B, or A versus B versus C, where each letter is a
profile and the combination is a choice set - Researcher has to first figure out how many
profiles are needed, then how many choice sets
14The Alternatives
- Does a person look at two at once?
- Or three?
- Or four (or more)?
15Attributes Characterize Alternatives (the Choices)
- e.g. What are the attributes of a commuting
alternative that matter to people? - Cost (money and time)
- Comfort
- Discretionary power (flexibility in choosing
schedule) - Reliability
16Levels Determine Definition of the Alternative
- What are the money prices?
- Range from free to calculations based on
parking, toll roads, gasoline prices, mpg of the
vehicle - e.g. Local prices per trip are 0, 1, 2.50,
5.00, 8.00 - What are the times?
- Range from few minutes to hours
- e.g. Local commuting times per trip (including
all parts of the trip) 5 min., 10 min, 20 min,
30 min, 1 hour) - Comfort (low, medium, high) Reliability (very
unreliable, sometimes unreliable, always reliable)
17How Many Possibilities? Design
- L levels, K attributes LK possible profiles
- Full factorial design considers all possible
profiles - Possible?
- Example of Commuting Attributes ( of Levels)
- Price (five), Time (five), Comfort (three),
Flexibility (three), Reliability (three) - 52 X 33 25 X 27 675
18Quickly Exploding
- I didnt probably get all the attributes or
levels covered. If more - Can you cover 1,000 profiles?
- No
- So, what to do? Thats the art of design
- Fractional factorial design
19Key Design Components (Huber and Zwerina)
- Level Balance Each level of each attribute
should appear with equal frequency - Orthogonality mathematical independence to allow
identification of parameters - Satisfied when joint occurrence of any 2 levels
of different attributes appear in profiles with
frequencies the product of their marginal
frequencies - Simply attributes are purposefully uncorrelated
(makes it easier to identify variable Xs
influence)
20Key Design Components (cont.)
- Minimal Overlap the probability that an
attribute level repeats itself in a choices set
is minimized - Utility Balance Balance the utility received
Avoid dominance of choices, the probability of
choosing each alternative should be fairly even
21Quantitative measures of efficiencyD-optimal
efficiency
- The D-optimal criterion seeks to maximize the
determinant of the Fisher information matrix - Max D 1001/N(XX)-11/A
- N number of observations A is number of
attributeslevels in design XX is the
information matrix - Uninformed prior all parameters equal zero
- A priori information based on pretest or other
data - Bayesian information hierarchically added
22Conclusions about D-criterion
- D-efficiency preferred when specification and
design are both correct - D-efficiency with Bayesian info preferred when
specification is incorrect but design is correct - Shifting preferred to D-efficiency when the
specification is correct but the design is not - Most common
- If design is correct, do not need a
design-creating process! - Also known as cycling
23Alternatives using D-criterion
- Fractional design drawn multiple times, with
D-criterion compared for each draw - Frequentist model averaging design evaluated
over a distribution of parameter values and final
design is a weighted average (uses partial info)
24Class on Choice Modeling An Example Project
- Agricultural Economics 695 (PhD seminar)
- Recreation, Parks, and Tourism Sciences (616
PhD course) - Assignment Design a choice modeling experiment
that has something to do with transportation
issue in Bryan/College Station
25Students Decision
- Identify the impact of CARES (Camera Advancing
Red Light Enforcement Safety) on driver behavior,
road and traffic safety, and pedestrian safety - Installation of red light cameras, coupled with
75 citation for violations - Expansion of the program planned
- No funding, so using convenience sample and
internet survey
26Student News Item
- The Battalion (April 9, 2008) Nathan Ball
- 3,318 citations as of April 1st, generating
248,859 (four existing cameras) - Of existing fines, 659 mailed to College Station
residents
27Design
- Four attributes of cameras the location of
the intersections for installation the cost of
the fine the posted speed limit (mph) - Student in the class used SAS Optex procedure
- 16 profiles (see next slide)
28Original Profiles (Thanks Lindsey Higgins)
29Corrected Profiles
30Next Step
- Suppose we want to create a pair of profiles to
evaluate and ask the person to choose profile 1
versus profile 2. - Does it matter which profiles are paired?
- Yes
- How do we match them?
- Answer is complicated and there are many schemes
that try to achieve an efficient design based on
the four goals above.
31Example
- Do we want choice A to be profile 1 and choice B
to be profile 2? From the original profiles, wed
get - Choose between A (4 cameras, citation fine is
50, cameras at current locations, speed is
reduced) and B (4 cameras, citation fine is 74,
cameras at current locations, speed is reduced) - Only thing that varies between A and B is the
citation/fine amount
32Final Choice Set - Each Gets 8
33See Their Survey
- http//geography.tamu.edu/cares_survey/
- Aside on Internet surveys
- See Knowledge Networks Inc. (webcast of
presentation on survey bias, April 24th) - Wave of the future?
34For each section read any instructions and each
question carefully before answering. Please do
not leave any answers blank. An answer of N/A
is provided for questions youd choose to not
answer. Thank you again for taking the time to
complete this survey. Current Residency College
Station Bryan Neither Prior to taking this
survey, of the four intersections with red light
cameras, how many can you confidently name or
locate? 0 1 2 3 4
The map shows the location of red light cameras
in the College Station CARES Program. The
cameras carry a 75 citation at intersections of
roads with a 40 mph speed limit. For the purposes
of this survey, these four cameras will remain in
use. For each question, you will be given two
alternatives for changing the CARES Program. The
alternatives may change the cost of the citation,
the speed limit, number of additional cameras,
and placing additional cameras at intersections
with high pedestrian traffic, high road volume,
or a mix of intersections throughout College
Station. Based on the information and your own
personal knowledge, select the alternative you
prefer.
35Example Choices
36Few Preliminary Results N 38
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38Initial Thought
- Not everyone thinks cameras are good in safety
may be revenue for town - They might focus on speed limit
- Had hoped to have at least some more preliminary
statistical results on this one - In the field giving surveys
- No complete data set yet
39Thoughts on CM Applications to Some Other Texas
Transportation Issues
- Hurricane evacuation behavior and risk
perceptions - What is the risk that a hurricane will hit?
- Given this, will you evacuate? Perhaps add, how
long before you do? (could add the risks of
getting caught in a traffic jam, which are
function of when you leave) - New routes through rural and other areas?
- Biking v. Driving as the cost of gasoline
increases
40Application(UTCM project w/ Mark Burris)
- Managed Lanes (less congestion, but pay a toll
for this) - Katy Freeway
- Will people use it/the MLs?
- What will they willing to pay in tolls?
- What is the value of MLs?
Managed Lanes (ML) offer travelers the option of
congestion free travel in corridors where the
general purpose lanes (GPL) are congested. To
ensure the MLs do not become congested (and often
to help pay for the construction of the lanes)
travelers have to pay a toll to use the MLs. This
toll varies by time of day or by congestion
level, increasing as demand for the lane
increases. Thus travelers have to make a
decision, often at the spur of the moment, on use.
41If Time Allows Another Example
- NSF Hurricane Project
- Small Exploratory Grants Research (SGER) Program
- Look at victims from Katrina/Rita who had
relocated here or in Houston - Examine their location preferences for moving
back or elsewhere using a choice model - Also look at their subjective perceptions of
risk (just after the hurricanes in 2005, and over
one year later)
42Two Rounds
- Round I mostly from B/CS living here
temporarily - Round II from B/CS and from Houston (we lost
many from Round I no one knows where they went) - Compare risks and behaviors in model of all
subjects
43Empirical Approach
- Tried two panel logit specifications (? is
normally distributed individual-specific
component, T is of observations per person i).
Log likelihood (random effects)
44Round I (N 72 508 responses)
45Round II (N 45 206 responses)
46Marginal WTP (One time)
- High Risk to None
- Round I 10,100
- Round II 4,800
- High Risk to Medium Risk
- Round I 6,550
- Round II 3,456
47Results from Hurricane Study(in words)
- Key
- Risks matter higher risks, less likely to
choose that location - Risks still matter to both groups, but matter
less a year later - People do NOT want to all go back to New Orleans
- Net income (income less housing costs) increases
chance of picking a location