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  1	
  
Determinants of Time Spent Commuting to Work
Selma Dogic
Georgia Institute of Technology
April 22, 2015
Abstract
This paper takes a closer look into the factors that impact time travelled to work. It will
offer insight to the variation in travel time values across individuals and show how
occupation and family background affect ones travel time to work. As metro areas
become more populated, thanks to their lower costs of livings relative to city centers,
people are experiencing longer commutes. This leads one to question how commuters
value their drive times and what factors affect their commute time; it also sheds light on
the types of transportation policies that are relevant to citizens. This paper utilizes past
research to create a foundation for the valuation of travel time and then attempts to
quantify the findings through a regression analysis created with variables collected from
the American Community Survey. A simple ordinary least squares model was developed
and provided some deeper insight to value of time theory and prospects of new policies.
  2	
  
Table of Contents
Introduction........................................................................................................................3
	
  
Literature Review .......................................................................................................... 4-5
	
  
Data ................................................................................................................................. 6-9
	
  
Model............................................................................................................................. 9-14
	
  
Policy Implications...........................................................................................................14
	
  
Conclusion/Discussion .....................................................................................................15
  3	
  
Introduction
A major purpose of infrastructure investments and transportation policy is aimed
at the reduction of time travelled (Belenky, 2011). Travel time is distinguished between
paid business travel and personal travel, commuting to work is sometimes treated as a
third distinction, but it more often is included in personal travel (Belenky, 2011).
Personal travel time is estimated to be in the realm of 25% to 50% of wages; travel time
costs increase with income and are lower for children and the unemployed. In fact, the
more an individual earns, the more they are willing to pay for travel time savings.
("Travel Time - Transportation Benefit-Cost Analysis," n.d.) This makes sense, of course,
because these individuals have relatively higher opportunity costs. Thus, age and
earnings are important factors to consider when evaluating the time traveled to work
("Travel Time - Transportation Benefit-Cost Analysis," n.d.).
This type of study sheds light onto human behavior (Small, 2012), by giving a
glimpse to the decision making process. It also shows the roles that opportunity costs
play in that process.
In regards to infrastructure investment policy, travel time plays a vital role in its
evaluation; and a great bulk on recent transportation investment has been to reduce the
delay in passenger travel (Belenky, 2011). Travelers have witnessed this through the
creation of HOV lanes and toll lanes that were designed to mitigate congestion and thus
reduce passenger delays.
  4	
  
Literature Review
Gary S. Becker developed a foundation of the valuation of time that has been the
basis for many other analyses. It is based on the constraint that time is spread across
work, leisure, and travel and that any travel time savings can be transferred freely
amongst either leisure or work (Small, 2012). Though this is often not the case an
important take away from the framework of time valuation is that time spent en route is
related to forgone earnings and leisure. A major portion of one’s personal time is spent on
travel; many individuals spend sixty to ninety minutes of their day in transit (Victoria
Transport Policy Institute, 2013).
Empirical results have shown that the value of commuting time averages
approximately one-half of the wage rate (Small, 2012). Thus, these values are higher
when individuals earn higher wages. There has also been evidence that driver’s value
their time more under congested conditions that under free-flowing traffic (Small, 2012).
Showing that under less pleasant conditions, traveler’s experience higher costs.
This also offers some commentary to the valuation of comfortable travel, making
note that the reduction of time traveled is also based on one’s desire to avoid
uncomfortable travel experiences (Belenky, 2011). In fact, travelers are willing to pay
higher prices to shorten the time they must travel under uncomfortable circumstances
(Belenky, 2011). Brundell-Freij showed that travel time costs are higher for these
uncomfortable and unsafe conditions (Brundell-Freij, 2006).
  5	
  
Technology could be key to curtailing the higher costs of discomfort, if
technological advances further developed in-vehicle amenities and thus lowered the value
of time travelled (Small, 2012). However, there is little evidence of this and it is
particularly difficult to determining the future effects that these types of technological
advances would have on time costs (Small, 2012).
Reliability also plays a key role in the valuation of time. Costs increase with less
reliability and uncertainty in driving conditions (delays en route) (Cohan and Southworth,
1999). The reduction of reliability causes an increase in time travelled, as individuals
account for extra time in their commute to mitigate the uncertainty of their trip.
Unfortunately, there are many unobservable variables that affect time traveled to
work, such as preferences and attitudes. Preferences are increasingly being incorporated
into in-depth analysis, particularly through the use of state-preference questionnaires in
which respondents offer solutions to hypothetical situations (Small, 2012). Yet, attitudes
are much harder to quantify and include in an analysis. Though incorporating stated and
revealed preferences could develop individual attitudes into the model, it is not clear
whether a model would benefit from any statistical efficiency (Small, 2012).
  6	
  
Data
The following data has been collected from the US Census Bureau’s American
Community Survey 2004 Public Use Microdata. Below is a table summarizing the
collected cross-sectional variables.
Variable	
   Observations	
   Mean	
   Standard	
  
Deviation	
  
Minimum	
   Maximum	
  
Minutes	
  Travelled	
  to	
  Work	
   1,194,354	
   10.43109	
   18.44492	
   0	
   200	
  
Mode	
  of	
  Transportation	
  to	
  
Work	
  
1,194,354	
   0.8256689	
   1.971638	
   0	
   12	
  
Occupation	
   1,194,354	
   2,664.38	
   2,937.56	
   9	
   9,920	
  
Total	
  Personal	
  Earnings	
   1,194,354	
   17,672.86	
   36,593.4	
   -­‐10,000	
   729,000	
  
Number	
  of	
  Vehicles	
   1,194,354	
   2.091158	
   1.096379	
   0	
   6	
  
Number	
  of	
  Children	
   1,194,354	
   0.9690862	
   1.27915	
   0	
   13	
  
Marital	
  Status	
   1,194,354	
   2.847479	
   1.858984	
   1	
   5	
  
Age	
   1,194,354	
   38.34378	
   22.94143	
   0	
   93	
  
Sex	
   1,194,354	
   1.518616	
   0.4996535	
   1	
   2	
  
	
  
Mode	
  of	
  travel,	
  occupation,	
  earnings,	
  number	
  of	
  vehicles,	
  number	
  of	
  children,	
  and	
  
marital	
  status	
  are	
  used	
  as	
  explanatory	
  variables	
  in	
  the	
  model;	
  they	
  are	
  used	
  to	
  explain	
  the	
  
variation	
  in	
  minutes	
  traveled	
  to	
  work.	
  Mode	
  of	
  travel,	
  occupation,	
  and	
  marital	
  status	
  are	
  
categorical	
  variables.	
  Number	
  of	
  children,	
  number	
  of	
  vehicles,	
  and	
  earnings,	
  on	
  the	
  other	
  
hand,	
  are	
  continuous	
  variables.	
  Below	
  is	
  a	
  table	
  describing	
  the	
  data	
  collected.	
  
Minutes	
  travelled	
  to	
  work.	
  From	
  the	
  table	
  above	
  we	
  see	
  that	
  the	
  average	
  time	
  
travelled	
  to	
  work	
  is	
  ten	
  and	
  a	
  half	
  minutes.	
  The	
  standard	
  deviation	
  shows	
  how	
  spread	
  out	
  
the	
  data	
  points	
  are;	
  for	
  minutes	
  travelled	
  to	
  work	
  this	
  is	
  almost	
  twenty	
  minutes.	
  	
  
Interestingly,	
  the	
  time	
  travelled	
  varies	
  from	
  no	
  minutes	
  (for	
  those	
  who	
  are	
  unemployed	
  or	
  
work	
  from	
  home)	
  to	
  two	
  hundred	
  minutes	
  –	
  almost	
  three	
  hours.	
  	
  
Mode	
  of	
  transportation	
  to	
  work.	
  This	
  variable	
  has	
  thirteen	
  categories,	
  taking	
  on	
  
values	
  from	
  zero	
  to	
  twelve.	
  If	
  the	
  observation	
  is	
  missing	
  for	
  this	
  variable	
  it	
  would	
  take	
  on	
  
  7	
  
the	
  variable	
  zero.	
  The	
  value	
  one	
  is	
  devoted	
  to	
  personal	
  vehicle	
  travel,	
  ten	
  for	
  individuals	
  
who	
  walked	
  to	
  work,	
  eleven	
  to	
  those	
  who	
  worked	
  at	
  home,	
  and	
  twelve	
  to	
  other	
  modes.	
  	
  The	
  
pattern	
  among	
  the	
  categories	
  appears	
  to	
  be	
  that	
  more	
  comfortable	
  modes	
  of	
  transportation	
  
take	
  on	
  lower	
  values,	
  thus	
  the	
  higher	
  the	
  value	
  for	
  this	
  category	
  the	
  more	
  uncomfortable	
  the	
  
mode	
  is	
  and	
  it	
  is	
  expected	
  that	
  the	
  less	
  time	
  one	
  would	
  spend	
  in	
  transit.	
  	
  
Occupation.	
  Like	
  mode	
  of	
  transportation,	
  occupation	
  is	
  divided	
  amongst	
  several	
  
categories.	
  The	
  values	
  are	
  indicative	
  of	
  the	
  US	
  Standard	
  Occupation	
  Codes,	
  where	
  each	
  
numerical	
  value	
  represents	
  a	
  specific	
  occupation	
  within	
  a	
  grouping.	
  The	
  code	
  111011	
  
represents	
  chief	
  executives,	
  while	
  490000	
  codes	
  represent	
  production	
  workers.	
  Within	
  this	
  
category,	
  it	
  seems	
  that	
  codes	
  with	
  a	
  greater	
  numerical	
  value	
  represent	
  occupations	
  with	
  
relatively	
  lower	
  wage	
  rates.	
  	
  In	
  a	
  regression	
  analysis,	
  one	
  would	
  expect	
  that	
  the	
  lower	
  this	
  
variable	
  is,	
  the	
  less	
  time	
  spent	
  commuting	
  to	
  work	
  since	
  these	
  individuals	
  have	
  greater	
  
value	
  their	
  travel	
  time.	
  
Total	
  Personal	
  Earnings.	
  	
  The	
  average	
  annual	
  earnings	
  for	
  this	
  sample	
  were	
  $17,672.	
  
However,	
  with	
  a	
  relatively	
  large	
  standard	
  deviation	
  this	
  value	
  may	
  not	
  depict	
  a	
  full	
  picture	
  
of	
  the	
  data	
  set.	
  The	
  median	
  earnings	
  for	
  this	
  sample	
  were	
  relatively	
  low,	
  only	
  $2,300;	
  the	
  US	
  
Bureau	
  of	
  Labor	
  Statistics	
  has	
  recently	
  published	
  median	
  earnings	
  for	
  the	
  US	
  being	
  $41,392	
  
as	
  of	
  the	
  fourth	
  quarter	
  of	
  2014.	
  This	
  may	
  be	
  an	
  indicator	
  that	
  the	
  sample	
  population	
  is	
  not	
  
completely	
  representative	
  of	
  the	
  population	
  in	
  general.	
  Interestingly,	
  there	
  are	
  individuals	
  
in	
  the	
  sample	
  that	
  make	
  close	
  to	
  a	
  million	
  dollars	
  ($729,000)	
  while	
  other	
  individuals	
  
seemingly	
  have	
  negative	
  earnings.	
  The	
  negative	
  earnings	
  may	
  not	
  necessarily	
  represent	
  
individuals	
  who	
  have	
  lost	
  money,	
  although	
  this	
  is	
  sometimes	
  the	
  case.	
  A	
  value	
  of	
  -­‐10,000	
  is	
  
representative	
  of	
  individuals	
  that	
  are	
  younger	
  than	
  fifteen	
  years	
  old,	
  and	
  thus	
  are	
  ineligible	
  
(under	
  labor	
  laws)	
  to	
  work	
  and	
  earn	
  taxable	
  wages.	
  	
  Value	
  greater	
  than	
  -­‐10,000	
  and	
  less	
  
than	
  zero	
  represent	
  losses	
  incurred	
  by	
  individuals	
  in	
  the	
  data	
  set.	
  This	
  variable	
  is	
  incredibly	
  
  8	
  
important	
  in	
  the	
  regression	
  analysis,	
  because	
  as	
  has	
  been	
  discussed	
  above,	
  time	
  is	
  valued	
  as	
  
a	
  percentage	
  of	
  wages;	
  making	
  note	
  that	
  the	
  more	
  one	
  earns,	
  the	
  more	
  they	
  value	
  their	
  time	
  
and	
  the	
  less	
  time	
  they	
  prefer	
  to	
  spend	
  en	
  route.	
  
Number of vehicles. The average number of vehicles owned for this sample is
two. This shows that an average household has two vehicles to its disposal.
Number of children. An average household within the dataset has approximately
one child. One would imagine that the more children one has, the less time they would
spend in transit, as their preferences of spending time shift towards home and family. The
relationship between children and time travelled to work is likely to be negative.
Marital Status. This variable is categorized among from one to five. One indicates
a married individual, one with a current spouse, while the other categories represent
individuals with no spouse (this could be the result of a death, divorce, or having never
been married). For the same reasons as above, the lower a number the more of an
incentive to spend time with family. This leads one to think that married individuals have
higher time values; so, a lower value for this variable should have a negative impact on
time travelled to work.
Age. The average age in the sample population is close to thirty-eight. Assuming
that on average, income rises with age, one could assume that minutes travelled to work
would fall as age increases. In other words, age and minutes travelled to work have a
negative relationship.
Sex. The variable sex was included in the data set for experimental purposed only.
Evidence shows that men, on average, earn more than women. Using this as a basis, one
would be led to believe that men on average travel shorter time periods to work. As the
  9	
  
data is categorizes (1 for men and 2 for women), this variable should have a positive
effect on minutes traveled to work.
Model
A simple ordinary least squares regression was utilized in this paper. The
regression modeled travel time to work as the dependent variable, while all other
variables previously discussed served as explanatory variables.
Minutes	
  Traveled	
  to	
  Work	
  
	
   	
   	
   	
   	
   	
   	
  
Explanatory	
  Variable	
   Coefficient	
   Standard	
  Error	
   t	
   P>|t|	
   95%	
  Confidence	
  Interval	
  
Age	
   -­‐0.0768264	
   0.0010463	
   -­‐73.42	
   0	
   -­‐0.0788772	
   -­‐0.0747756	
  
Occupation	
   0.0013342	
   0.00000541	
   246.44	
   0	
   0.0013235	
   0.0013448	
  
Total	
  Personal	
  Earnings	
   0.0001715	
   0.000000754	
   377.6	
   0	
   0.0001706	
   0.0001724	
  
Marital	
  Status	
   -­‐0.7632183	
   0.0117898	
   -­‐64.74	
   0	
   -­‐0.7863259	
   -­‐0.7401106	
  
Sex	
   -­‐0.4687807	
   0.0304302	
   -­‐15.41	
   0	
   -­‐0.5284229	
   -­‐0.4091385	
  
Number	
  of	
  Children	
   -­‐0.6890591	
   0.0141573	
   -­‐48.67	
   0	
   -­‐0.716807	
   -­‐0.6613113	
  
Mode	
  of	
  Transportation	
  to	
  
Work	
  
0.3605778	
   0.0078724	
   45.8	
   0	
   0.3451482	
   0.3760075	
  
Number	
  of	
  Vehicles	
   0.2243699	
   0.013992	
   16.04	
   0	
   0.1969461	
   0.2517937	
  
Constant	
   9.57783	
   .1029292	
   93.05	
   0	
   9.376092	
   9.779567	
  
	
   	
   	
   	
   	
   	
   	
  
N	
   1,194,354	
   	
   	
   	
   	
   	
  
	
  R2	
  
0.2272	
   	
   	
   	
   	
   	
  
  10	
  
Under OLS, the model is assumed to be homoscedastic, which means that the
variance of the error terms is constant. To visually verify whether this is true, the model’s
residuals were plotted against its fitted values. Below is the visual representation.
The chart above indicates that the model, in fact, has heteroscedastic characteristics. To
formally test this, a Breusch-Pagan test was conducted to detect whether any linear form
of heteroscedasticity exists. The results indicated that the, indeed, heteorscedasticity is
present. To compensate for this issue, the regression was conducted again using robust
standard errors. By using robust standard errors, the assumption that error terms are
independent and identically distributed is relaxed, thus making the robust standard errors
more reliable. The results are displayed below.
  11	
  
Minutes	
  Traveled	
  to	
  Work	
  
Explanatory	
  Variable	
   Coefficient	
   Robust	
  Standard	
  Errors	
   t	
  
Age	
   -­‐0.0768264	
   0.0009478	
   -­‐81.06	
  
Occupation	
   0.0013342	
   0.00000632	
   211.14	
  
Total	
  Personal	
  Earnings	
   0.0001715	
   0.000000827	
   207.36	
  
Marital	
  Status	
   -­‐0.7632183	
   0.0137621	
   -­‐55.46	
  
Sex	
   -­‐0.4687807	
   0.029799	
   -­‐15.73	
  
Number	
  of	
  Children	
   -­‐0.6890591	
   0.0136054	
   -­‐50.65	
  
Mode	
  of	
  Transportation	
  to	
  Work	
   0.3605778	
   0.0119117	
   30.27	
  
Constant	
   9.57783	
   0.1081094	
   88.59	
  
	
   	
   	
   	
  
N	
   1,194,354	
   	
   	
  
R2	
  
0.2272	
   	
   	
  
Note that number of vehicles has been deleted as an explanatory variable as it
offers little intuitive explanation for its effects on time travelled to work and its omission
from the model doesn’t affect R-squared at all.
As noted by the R-squared value above, the independent variables explain about
twenty-three percent of the variability on the minutes travelled to work. The p-values for
all independent variables were zero, meaning that each variable is statistically different
from zero at the five percent level. Though each variable is of statistical significance, it
may not necessarily be economically significant in that a variable’s impact on the
dependent variable may be relatively small.
From the chart above, it is obvious that age and minutes travelled to work have a
negative relationship. A one-year increase in age will, on average, decrease minutes
traveled to work by .077; showing that, as people grow older they get closer to work. The
relationship between the two variables was expected. Simply put, the older one grows,
the more they value their time. This could be a representation of their growing
opportunity costs or it could be a reflection of their earnings, making it hard to
  12	
  
distinguish whether older people value their time more because they have less of it or
because their earnings are relatively higher.
Occupation has a positive relationship with minutes driven to work; this result
was also expected. As previously noted, occupations were classified under standard
occupational codes; where codes of higher values often represent occupations with
relatively lower wage rates. Thus, individuals classified under higher occupational codes
earn less, under assumption they also value their time less, and subsequently they take
more time to get to work. It is important to note that the economic effect that occupation
has on the dependent variable is much lower than expected.
The same can be said for the variable “total personal earnings” with respect to
economic impact. Surprisingly, though, earnings have a positive impact on time travelled
to work. A large portion of the text has been dedicated to relaying the message that
income positively affects time valued so that individuals with higher incomes value their
time more; yet, the data do not seem to relay the same message and seems
counterintuitive.
Marital status has a negative impact on minutes driven to work. A value higher
than one for this variable indicates an individual without a spouse, making the
relationship between this independent variable and the dependent variable interesting. It
would seem that an individual with a spouse would value their time more and in turn
would spend less time commuting to work; while individuals without a spouse would
exhibit opposite behavior. These results may be indicative of human behavior and
preferences for which this simple model could not account. This variable had the greatest
economic impact.
  13	
  
The coefficient on sex shows that men on average spend more time commuting to
work than women. This variable, too, had a relatively larger economic effect on commute
time.
The coefficient on the number of children has a significant economic impact
relative to many of the other variables. The coefficient is also negative, showing that the
more children one has, the less time they spend commuting to work.
As far as the variable “mode of transport to work” is concerned, intuitively it was
estimated that this variable would have a negative impact on time travelled to work since
higher values of the variable indicated less comfortable modes of transportation.
However, the model displays an opposite effect. This is likely due to the fact that the less
comfortable modes of transportation require longer commutes on average than personal
automobiles.
The model poses several problems besides heteroskedasticity that cause the model
itself many limitations. The first being omitted variable bias. It is likely that many
relevant variables were not included in the model and that this omission heavily swayed
the results. Such variables may be whether the individual lived in an urban area, whether
they worked in an urban area, whether they were the head of the household, and their
employment status.
There could also be spatial correlation in the model, meaning that some of the
variables may be correlated with each other based on geography. For instance, in densely
populated areas (such as the northeast) public transit is relatively easier to access and
more often available; people living in these areas also may be less likely to own several
cars per household.
  14	
  
Lastly, it is likely that multicollinearity exists in the model. Multicollinearity is a
case when independent variables are correlated. This issue would be most prevalent
among the occupation and earnings variables. However many of the other variables are
also likely to be correlated, such as age and earnings or age and marital status.
Policy Implications
The model developed in this paper may not necessarily provide a clear outline of
potential transportation policies that are fitting to the information analyzed. However, it
does give a new perspective on how to approach policy development.
In theory the improvement of transit service lies in its reduction of time and
increase in comfort. This could be achieved through policies aimed at reducing traffic
congestion or frequency of service for public transit. As well as improving comfort levels
of public transit services.
Though this paper’s model may not offer much insight into transportation
policies, it does give a new perspective on the people who are most affected by policies
aimed at reducing travel time and improving travel comfort. The model shows readers
that marital status and number of children have the greatest impact on time traveled to
work. Thus policies geared towards reducing commute time are likely to impact married
adults with relatively few children. As noted previously higher earners value their time
more, yet policies that improve time spent in commute may not necessarily benefit high
earners the most. Benefits will also be greatly realized by lower income households that
do not have the capability of moving closer to work.
  15	
  
Conclusion/Discussion
This paper utilizes both theory and data to prove specific theories of
transportation economics. From theory, readers have been shown that time is divided
amongst labor, leisure, and travel. Theory also suggests that individuals value time based
on fifty percent of their real wage rate. Through closer examination of the valuation of
time, it became apparent that time valuations differed based on the flow, comfort, and
reliability of travel.
The model utilized in the paper offered deeper insight into personal factors that
impact the time travelled to work and offered a small glimpse of the decision making
process. The data showed that marital status and number of children had relatively large
impacts on the minutes travelled to work. Total personal earnings and occupation appear
to be important factors in determining commute times, but the model showed that these
variables on average had small economic impacts on time travelled.
The model however posed several complications that limited it use. It omitted
several relevant and important variables and also did not include any variables that
indicated where the individuals lived or worked. It was also unable to account for
attitudes or preferences, which may greatly impact how one travels to work and
subsequently how much time they travel to work.
  16	
  
References
Travel Time. (2013). In Transportation Cost and Benefit Analysis II. Victoria Transport
Policy Institute.
Litman, T. (n.d.). Valuing Transit Service Quality Improvements. Journal of Public
Transportation, 11(2). Retrieved from http://www.nctr.usf.edu/jpt/pdf/JPT11-
2Litman.pdf
Brundell-Freij, Karin. 2006. User benefits and time in road investment and maintenance:
The role of speed choice and driving comfort. Transportation Research Board Annual
Meeting. Available at www.mdt.mt.gov/research/docs/trb_cd/ Files/06-0158.pdf.
Belenky, P. (2011). Memorandum to Secretarial Officers Modal Administrators. U.S.
Department of Transportation. Retrieved from
http://www.dot.gov/sites/dot.dev/files/docs/vot_guidance_092811c.pdf
Travel Time - Transportation Benefit-Cost Analysis. (n.d.). Retrieved from
http://bca.transportationeconomics.org/benefits/travel-time2
Small, K. (n.d.). Valuation of Travel Time. Economics of Transportation, 1(1). Retrieved
from http://www.socsci.uci.edu/~ksmall/VOT review.pdf
  17	
  
Becker, G. (n.d.). A Theory of the Allocation of Time. The Economic Journal. Retrieved
from http://www.unc.edu/~shanda/courses/plcy289/Becker_EJ_Time.pdf

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Transportation Economics Term Paper

  • 1.   1   Determinants of Time Spent Commuting to Work Selma Dogic Georgia Institute of Technology April 22, 2015 Abstract This paper takes a closer look into the factors that impact time travelled to work. It will offer insight to the variation in travel time values across individuals and show how occupation and family background affect ones travel time to work. As metro areas become more populated, thanks to their lower costs of livings relative to city centers, people are experiencing longer commutes. This leads one to question how commuters value their drive times and what factors affect their commute time; it also sheds light on the types of transportation policies that are relevant to citizens. This paper utilizes past research to create a foundation for the valuation of travel time and then attempts to quantify the findings through a regression analysis created with variables collected from the American Community Survey. A simple ordinary least squares model was developed and provided some deeper insight to value of time theory and prospects of new policies.
  • 2.   2   Table of Contents Introduction........................................................................................................................3   Literature Review .......................................................................................................... 4-5   Data ................................................................................................................................. 6-9   Model............................................................................................................................. 9-14   Policy Implications...........................................................................................................14   Conclusion/Discussion .....................................................................................................15
  • 3.   3   Introduction A major purpose of infrastructure investments and transportation policy is aimed at the reduction of time travelled (Belenky, 2011). Travel time is distinguished between paid business travel and personal travel, commuting to work is sometimes treated as a third distinction, but it more often is included in personal travel (Belenky, 2011). Personal travel time is estimated to be in the realm of 25% to 50% of wages; travel time costs increase with income and are lower for children and the unemployed. In fact, the more an individual earns, the more they are willing to pay for travel time savings. ("Travel Time - Transportation Benefit-Cost Analysis," n.d.) This makes sense, of course, because these individuals have relatively higher opportunity costs. Thus, age and earnings are important factors to consider when evaluating the time traveled to work ("Travel Time - Transportation Benefit-Cost Analysis," n.d.). This type of study sheds light onto human behavior (Small, 2012), by giving a glimpse to the decision making process. It also shows the roles that opportunity costs play in that process. In regards to infrastructure investment policy, travel time plays a vital role in its evaluation; and a great bulk on recent transportation investment has been to reduce the delay in passenger travel (Belenky, 2011). Travelers have witnessed this through the creation of HOV lanes and toll lanes that were designed to mitigate congestion and thus reduce passenger delays.
  • 4.   4   Literature Review Gary S. Becker developed a foundation of the valuation of time that has been the basis for many other analyses. It is based on the constraint that time is spread across work, leisure, and travel and that any travel time savings can be transferred freely amongst either leisure or work (Small, 2012). Though this is often not the case an important take away from the framework of time valuation is that time spent en route is related to forgone earnings and leisure. A major portion of one’s personal time is spent on travel; many individuals spend sixty to ninety minutes of their day in transit (Victoria Transport Policy Institute, 2013). Empirical results have shown that the value of commuting time averages approximately one-half of the wage rate (Small, 2012). Thus, these values are higher when individuals earn higher wages. There has also been evidence that driver’s value their time more under congested conditions that under free-flowing traffic (Small, 2012). Showing that under less pleasant conditions, traveler’s experience higher costs. This also offers some commentary to the valuation of comfortable travel, making note that the reduction of time traveled is also based on one’s desire to avoid uncomfortable travel experiences (Belenky, 2011). In fact, travelers are willing to pay higher prices to shorten the time they must travel under uncomfortable circumstances (Belenky, 2011). Brundell-Freij showed that travel time costs are higher for these uncomfortable and unsafe conditions (Brundell-Freij, 2006).
  • 5.   5   Technology could be key to curtailing the higher costs of discomfort, if technological advances further developed in-vehicle amenities and thus lowered the value of time travelled (Small, 2012). However, there is little evidence of this and it is particularly difficult to determining the future effects that these types of technological advances would have on time costs (Small, 2012). Reliability also plays a key role in the valuation of time. Costs increase with less reliability and uncertainty in driving conditions (delays en route) (Cohan and Southworth, 1999). The reduction of reliability causes an increase in time travelled, as individuals account for extra time in their commute to mitigate the uncertainty of their trip. Unfortunately, there are many unobservable variables that affect time traveled to work, such as preferences and attitudes. Preferences are increasingly being incorporated into in-depth analysis, particularly through the use of state-preference questionnaires in which respondents offer solutions to hypothetical situations (Small, 2012). Yet, attitudes are much harder to quantify and include in an analysis. Though incorporating stated and revealed preferences could develop individual attitudes into the model, it is not clear whether a model would benefit from any statistical efficiency (Small, 2012).
  • 6.   6   Data The following data has been collected from the US Census Bureau’s American Community Survey 2004 Public Use Microdata. Below is a table summarizing the collected cross-sectional variables. Variable   Observations   Mean   Standard   Deviation   Minimum   Maximum   Minutes  Travelled  to  Work   1,194,354   10.43109   18.44492   0   200   Mode  of  Transportation  to   Work   1,194,354   0.8256689   1.971638   0   12   Occupation   1,194,354   2,664.38   2,937.56   9   9,920   Total  Personal  Earnings   1,194,354   17,672.86   36,593.4   -­‐10,000   729,000   Number  of  Vehicles   1,194,354   2.091158   1.096379   0   6   Number  of  Children   1,194,354   0.9690862   1.27915   0   13   Marital  Status   1,194,354   2.847479   1.858984   1   5   Age   1,194,354   38.34378   22.94143   0   93   Sex   1,194,354   1.518616   0.4996535   1   2     Mode  of  travel,  occupation,  earnings,  number  of  vehicles,  number  of  children,  and   marital  status  are  used  as  explanatory  variables  in  the  model;  they  are  used  to  explain  the   variation  in  minutes  traveled  to  work.  Mode  of  travel,  occupation,  and  marital  status  are   categorical  variables.  Number  of  children,  number  of  vehicles,  and  earnings,  on  the  other   hand,  are  continuous  variables.  Below  is  a  table  describing  the  data  collected.   Minutes  travelled  to  work.  From  the  table  above  we  see  that  the  average  time   travelled  to  work  is  ten  and  a  half  minutes.  The  standard  deviation  shows  how  spread  out   the  data  points  are;  for  minutes  travelled  to  work  this  is  almost  twenty  minutes.     Interestingly,  the  time  travelled  varies  from  no  minutes  (for  those  who  are  unemployed  or   work  from  home)  to  two  hundred  minutes  –  almost  three  hours.     Mode  of  transportation  to  work.  This  variable  has  thirteen  categories,  taking  on   values  from  zero  to  twelve.  If  the  observation  is  missing  for  this  variable  it  would  take  on  
  • 7.   7   the  variable  zero.  The  value  one  is  devoted  to  personal  vehicle  travel,  ten  for  individuals   who  walked  to  work,  eleven  to  those  who  worked  at  home,  and  twelve  to  other  modes.    The   pattern  among  the  categories  appears  to  be  that  more  comfortable  modes  of  transportation   take  on  lower  values,  thus  the  higher  the  value  for  this  category  the  more  uncomfortable  the   mode  is  and  it  is  expected  that  the  less  time  one  would  spend  in  transit.     Occupation.  Like  mode  of  transportation,  occupation  is  divided  amongst  several   categories.  The  values  are  indicative  of  the  US  Standard  Occupation  Codes,  where  each   numerical  value  represents  a  specific  occupation  within  a  grouping.  The  code  111011   represents  chief  executives,  while  490000  codes  represent  production  workers.  Within  this   category,  it  seems  that  codes  with  a  greater  numerical  value  represent  occupations  with   relatively  lower  wage  rates.    In  a  regression  analysis,  one  would  expect  that  the  lower  this   variable  is,  the  less  time  spent  commuting  to  work  since  these  individuals  have  greater   value  their  travel  time.   Total  Personal  Earnings.    The  average  annual  earnings  for  this  sample  were  $17,672.   However,  with  a  relatively  large  standard  deviation  this  value  may  not  depict  a  full  picture   of  the  data  set.  The  median  earnings  for  this  sample  were  relatively  low,  only  $2,300;  the  US   Bureau  of  Labor  Statistics  has  recently  published  median  earnings  for  the  US  being  $41,392   as  of  the  fourth  quarter  of  2014.  This  may  be  an  indicator  that  the  sample  population  is  not   completely  representative  of  the  population  in  general.  Interestingly,  there  are  individuals   in  the  sample  that  make  close  to  a  million  dollars  ($729,000)  while  other  individuals   seemingly  have  negative  earnings.  The  negative  earnings  may  not  necessarily  represent   individuals  who  have  lost  money,  although  this  is  sometimes  the  case.  A  value  of  -­‐10,000  is   representative  of  individuals  that  are  younger  than  fifteen  years  old,  and  thus  are  ineligible   (under  labor  laws)  to  work  and  earn  taxable  wages.    Value  greater  than  -­‐10,000  and  less   than  zero  represent  losses  incurred  by  individuals  in  the  data  set.  This  variable  is  incredibly  
  • 8.   8   important  in  the  regression  analysis,  because  as  has  been  discussed  above,  time  is  valued  as   a  percentage  of  wages;  making  note  that  the  more  one  earns,  the  more  they  value  their  time   and  the  less  time  they  prefer  to  spend  en  route.   Number of vehicles. The average number of vehicles owned for this sample is two. This shows that an average household has two vehicles to its disposal. Number of children. An average household within the dataset has approximately one child. One would imagine that the more children one has, the less time they would spend in transit, as their preferences of spending time shift towards home and family. The relationship between children and time travelled to work is likely to be negative. Marital Status. This variable is categorized among from one to five. One indicates a married individual, one with a current spouse, while the other categories represent individuals with no spouse (this could be the result of a death, divorce, or having never been married). For the same reasons as above, the lower a number the more of an incentive to spend time with family. This leads one to think that married individuals have higher time values; so, a lower value for this variable should have a negative impact on time travelled to work. Age. The average age in the sample population is close to thirty-eight. Assuming that on average, income rises with age, one could assume that minutes travelled to work would fall as age increases. In other words, age and minutes travelled to work have a negative relationship. Sex. The variable sex was included in the data set for experimental purposed only. Evidence shows that men, on average, earn more than women. Using this as a basis, one would be led to believe that men on average travel shorter time periods to work. As the
  • 9.   9   data is categorizes (1 for men and 2 for women), this variable should have a positive effect on minutes traveled to work. Model A simple ordinary least squares regression was utilized in this paper. The regression modeled travel time to work as the dependent variable, while all other variables previously discussed served as explanatory variables. Minutes  Traveled  to  Work                 Explanatory  Variable   Coefficient   Standard  Error   t   P>|t|   95%  Confidence  Interval   Age   -­‐0.0768264   0.0010463   -­‐73.42   0   -­‐0.0788772   -­‐0.0747756   Occupation   0.0013342   0.00000541   246.44   0   0.0013235   0.0013448   Total  Personal  Earnings   0.0001715   0.000000754   377.6   0   0.0001706   0.0001724   Marital  Status   -­‐0.7632183   0.0117898   -­‐64.74   0   -­‐0.7863259   -­‐0.7401106   Sex   -­‐0.4687807   0.0304302   -­‐15.41   0   -­‐0.5284229   -­‐0.4091385   Number  of  Children   -­‐0.6890591   0.0141573   -­‐48.67   0   -­‐0.716807   -­‐0.6613113   Mode  of  Transportation  to   Work   0.3605778   0.0078724   45.8   0   0.3451482   0.3760075   Number  of  Vehicles   0.2243699   0.013992   16.04   0   0.1969461   0.2517937   Constant   9.57783   .1029292   93.05   0   9.376092   9.779567                 N   1,194,354              R2   0.2272            
  • 10.   10   Under OLS, the model is assumed to be homoscedastic, which means that the variance of the error terms is constant. To visually verify whether this is true, the model’s residuals were plotted against its fitted values. Below is the visual representation. The chart above indicates that the model, in fact, has heteroscedastic characteristics. To formally test this, a Breusch-Pagan test was conducted to detect whether any linear form of heteroscedasticity exists. The results indicated that the, indeed, heteorscedasticity is present. To compensate for this issue, the regression was conducted again using robust standard errors. By using robust standard errors, the assumption that error terms are independent and identically distributed is relaxed, thus making the robust standard errors more reliable. The results are displayed below.
  • 11.   11   Minutes  Traveled  to  Work   Explanatory  Variable   Coefficient   Robust  Standard  Errors   t   Age   -­‐0.0768264   0.0009478   -­‐81.06   Occupation   0.0013342   0.00000632   211.14   Total  Personal  Earnings   0.0001715   0.000000827   207.36   Marital  Status   -­‐0.7632183   0.0137621   -­‐55.46   Sex   -­‐0.4687807   0.029799   -­‐15.73   Number  of  Children   -­‐0.6890591   0.0136054   -­‐50.65   Mode  of  Transportation  to  Work   0.3605778   0.0119117   30.27   Constant   9.57783   0.1081094   88.59           N   1,194,354       R2   0.2272       Note that number of vehicles has been deleted as an explanatory variable as it offers little intuitive explanation for its effects on time travelled to work and its omission from the model doesn’t affect R-squared at all. As noted by the R-squared value above, the independent variables explain about twenty-three percent of the variability on the minutes travelled to work. The p-values for all independent variables were zero, meaning that each variable is statistically different from zero at the five percent level. Though each variable is of statistical significance, it may not necessarily be economically significant in that a variable’s impact on the dependent variable may be relatively small. From the chart above, it is obvious that age and minutes travelled to work have a negative relationship. A one-year increase in age will, on average, decrease minutes traveled to work by .077; showing that, as people grow older they get closer to work. The relationship between the two variables was expected. Simply put, the older one grows, the more they value their time. This could be a representation of their growing opportunity costs or it could be a reflection of their earnings, making it hard to
  • 12.   12   distinguish whether older people value their time more because they have less of it or because their earnings are relatively higher. Occupation has a positive relationship with minutes driven to work; this result was also expected. As previously noted, occupations were classified under standard occupational codes; where codes of higher values often represent occupations with relatively lower wage rates. Thus, individuals classified under higher occupational codes earn less, under assumption they also value their time less, and subsequently they take more time to get to work. It is important to note that the economic effect that occupation has on the dependent variable is much lower than expected. The same can be said for the variable “total personal earnings” with respect to economic impact. Surprisingly, though, earnings have a positive impact on time travelled to work. A large portion of the text has been dedicated to relaying the message that income positively affects time valued so that individuals with higher incomes value their time more; yet, the data do not seem to relay the same message and seems counterintuitive. Marital status has a negative impact on minutes driven to work. A value higher than one for this variable indicates an individual without a spouse, making the relationship between this independent variable and the dependent variable interesting. It would seem that an individual with a spouse would value their time more and in turn would spend less time commuting to work; while individuals without a spouse would exhibit opposite behavior. These results may be indicative of human behavior and preferences for which this simple model could not account. This variable had the greatest economic impact.
  • 13.   13   The coefficient on sex shows that men on average spend more time commuting to work than women. This variable, too, had a relatively larger economic effect on commute time. The coefficient on the number of children has a significant economic impact relative to many of the other variables. The coefficient is also negative, showing that the more children one has, the less time they spend commuting to work. As far as the variable “mode of transport to work” is concerned, intuitively it was estimated that this variable would have a negative impact on time travelled to work since higher values of the variable indicated less comfortable modes of transportation. However, the model displays an opposite effect. This is likely due to the fact that the less comfortable modes of transportation require longer commutes on average than personal automobiles. The model poses several problems besides heteroskedasticity that cause the model itself many limitations. The first being omitted variable bias. It is likely that many relevant variables were not included in the model and that this omission heavily swayed the results. Such variables may be whether the individual lived in an urban area, whether they worked in an urban area, whether they were the head of the household, and their employment status. There could also be spatial correlation in the model, meaning that some of the variables may be correlated with each other based on geography. For instance, in densely populated areas (such as the northeast) public transit is relatively easier to access and more often available; people living in these areas also may be less likely to own several cars per household.
  • 14.   14   Lastly, it is likely that multicollinearity exists in the model. Multicollinearity is a case when independent variables are correlated. This issue would be most prevalent among the occupation and earnings variables. However many of the other variables are also likely to be correlated, such as age and earnings or age and marital status. Policy Implications The model developed in this paper may not necessarily provide a clear outline of potential transportation policies that are fitting to the information analyzed. However, it does give a new perspective on how to approach policy development. In theory the improvement of transit service lies in its reduction of time and increase in comfort. This could be achieved through policies aimed at reducing traffic congestion or frequency of service for public transit. As well as improving comfort levels of public transit services. Though this paper’s model may not offer much insight into transportation policies, it does give a new perspective on the people who are most affected by policies aimed at reducing travel time and improving travel comfort. The model shows readers that marital status and number of children have the greatest impact on time traveled to work. Thus policies geared towards reducing commute time are likely to impact married adults with relatively few children. As noted previously higher earners value their time more, yet policies that improve time spent in commute may not necessarily benefit high earners the most. Benefits will also be greatly realized by lower income households that do not have the capability of moving closer to work.
  • 15.   15   Conclusion/Discussion This paper utilizes both theory and data to prove specific theories of transportation economics. From theory, readers have been shown that time is divided amongst labor, leisure, and travel. Theory also suggests that individuals value time based on fifty percent of their real wage rate. Through closer examination of the valuation of time, it became apparent that time valuations differed based on the flow, comfort, and reliability of travel. The model utilized in the paper offered deeper insight into personal factors that impact the time travelled to work and offered a small glimpse of the decision making process. The data showed that marital status and number of children had relatively large impacts on the minutes travelled to work. Total personal earnings and occupation appear to be important factors in determining commute times, but the model showed that these variables on average had small economic impacts on time travelled. The model however posed several complications that limited it use. It omitted several relevant and important variables and also did not include any variables that indicated where the individuals lived or worked. It was also unable to account for attitudes or preferences, which may greatly impact how one travels to work and subsequently how much time they travel to work.
  • 16.   16   References Travel Time. (2013). In Transportation Cost and Benefit Analysis II. Victoria Transport Policy Institute. Litman, T. (n.d.). Valuing Transit Service Quality Improvements. Journal of Public Transportation, 11(2). Retrieved from http://www.nctr.usf.edu/jpt/pdf/JPT11- 2Litman.pdf Brundell-Freij, Karin. 2006. User benefits and time in road investment and maintenance: The role of speed choice and driving comfort. Transportation Research Board Annual Meeting. Available at www.mdt.mt.gov/research/docs/trb_cd/ Files/06-0158.pdf. Belenky, P. (2011). Memorandum to Secretarial Officers Modal Administrators. U.S. Department of Transportation. Retrieved from http://www.dot.gov/sites/dot.dev/files/docs/vot_guidance_092811c.pdf Travel Time - Transportation Benefit-Cost Analysis. (n.d.). Retrieved from http://bca.transportationeconomics.org/benefits/travel-time2 Small, K. (n.d.). Valuation of Travel Time. Economics of Transportation, 1(1). Retrieved from http://www.socsci.uci.edu/~ksmall/VOT review.pdf
  • 17.   17   Becker, G. (n.d.). A Theory of the Allocation of Time. The Economic Journal. Retrieved from http://www.unc.edu/~shanda/courses/plcy289/Becker_EJ_Time.pdf