Canada Transportation Act Review

 

 

 

 

The Value Proposition for Transit Investment, Subsidy and Federal Involvement

 

Final Report

 

.

 

 

 

 

 

 

HLB Decision Economics Inc.

 

 

April 19, 2001

 


Table of Contents

Table of Contents                                                                                                                          i

Executive Summary                                                                                                                 E-1

The Economic Return of Transit                                                                                                  E-1

Transit Subsidy                                                                                                                           E-2

Federal Role                                                                                                                               E-3

1      Introduction                                                                                                                          1

Plan of the Report                                                                                                                          1

2      The Economic Value of Transit                                                                                         2

Costs and Benefits of Transit                                                                                                          2

Return on Transit Investment                                                                                                         11

3      The Economic Level of Transit Subsidy                                                                        14

Risk Analysis                                                                                                                                16

4      Federal Role                                                                                                                       23

 

Appendix A.      Second-Best optimal Subsidy: Theory and Application                      A-1

 


Executive Summary

This report addresses three questions: 

1.      Is urban transit investment economically worthwhile?

2.      Is urban transit subsidy economically justified?

3.      Is there an economic case for expanding the federal financial role in urban transit?

While interrelated, each question invokes different policy and economic principles.  The first represents an inquiry into the fundamental value proposition for transit; whether its economic benefits justify its economic costs.  The payment of subsidy, question two, hinges on more than a sound value proposition.  If transportation markets were reasonably well behaved, good investments would be self-sustaining.  The economic appropriateness and degree of subsidy must thus be examined in relation to market failure, including factors such as monopoly, externalities (congestion and environment), economies of scale, imperfect information, public goods and equity.

While a federal role in transit finance would demand both a strong value proposition and a reasoned economic case for subsidy, more is at issue.  Policy here must turn on, (i) the strategic significance of transit in the national context; (ii) the fiscal capacity of different levels of government; and (iii) the extent to which federal contributions would substitute for rather than add to provincial and local outlays.

The Economic Return of Transit

Investment mistakes are always possible, and not altogether infrequent in the transit domain.  As a general proposition, however, the economic benefits of urban public transit tend to exceed its costs, including a reasonable allowance for the opportunity cost of capital.  Among the main modes of transit, bus systems yield the highest and most consistent economic rates of return (in the region of 10 to 30 percent).  Investments in urban rail (while more susceptible than bus to investment mistakes) can yield acceptable economic rates of return (in range of 8 to 10 percent after inflation).  Rail investment in highly congested urban corridors can outperform highway expansion; corridor-level highway expansions yield economic rates of return in the region of 4 to 6 percent. 

The economic benefits of transit spring from three sources, congestion management, affordable mobility and the management of urban land-use (sprawl).  While these three classes of benefit represent distinct policy functions of transit, the economic value of mobility and land-use outcomes are in-part a downstream manifestation of the time savings that arise from transit’s impact on traffic congestion.  From a Benefit-Cost Analysis perspective, the recognition of all three classes of benefit thus involves an element of double-counting.  New research findings do indicate some degree of additivity among the three classes of benefit.  Even so, most studies suggest that, in the absence of congestion benefits, the rate of return on transit is less than the opportunity cost of capital.  In other words, the economic value of affordable mobility and land-use management as policy functions of transit are insufficient in themselves economically to justify transit investment.

Bus or Rail in Congested Corridors?

The economic value of transit in corridor-level congestion management is stronger in the case of rail than it is in the case of bus service.   This conclusion stems from new research findings regarding traffic equilibrium dynamics in multi-modal (highway-rail) congested corridors.[1]  Detailed measurements in 22 such corridors in the United States indicate that door-to-door peak-period travel times by road and rail tend to converge:  Convergence occurs at the door-to-door travel times associated with the rail system, thus making rail a powerful instrument of congestion management.

The above finding is consistent with the predictions of traffic theory.  Highway levels of service decline as more traffic enters the flow; rail, on the other hand, is not subject to the speed-flow dynamic.[2]  If travelers’ choose between road and rail so as to minimize travel time, the speed/flow dichotomy between road and rail means that choice behaviour will lead equilibrium travel times to occur at the level of service delivered by rail.  Of course travel time is not the only choice factor and the empirical evidence does not suggest exact convergence.  The studies do indicate near-convergence however, indicating that urban rail is an effective instrument for stabilizing congestion in highly congested urban corridors.

Transit Subsidy

Although grounds for subsidy on the basis of monopoly or scale economies are weak, the market’s failure to internalize the costs of road congestion yields a quantitatively significant rationale for subsidy.  Total transit subsidy (capital and operating) from all levels of government in the year 2000 was $2.1 billion; HLB estimates the optimal subsidy for that year at $5.7 billion.  The term “optimal” refers to the level transit support that would yield an economically efficient allocation of resources between road and transit.

Optimal subsidy depends on the cross-elasticity of auto demand with respect to transit fare and service quality, the cross-elasticity of demand for between peak versus off-peak transit, and the magnitude of the social marginal costs of congestion due to both automobiles and transit. Employing the accepted micro-economic analysis framework developed Bergson[3] (as generalized by Glaister[4] and made operational by Glaister and Lewis[5]), the estimates developed here indicate that, in the absence of road pricing (namely, the internalization of the congestion externality), Canada is under-spending on transit by a factor of almost three.  This is the case even if the cross-elasticity between auto and transit is as low as 0.020.

Federal Role

Does the likelihood that Canada under-spends on transit signify the need for federal financial participation in the subsidization of municipal transit systems.  The matter turns (inter alia) on transit’s strategic importance from a national perspective. The main argument in favour of a federal role is that congestion is a nation-wide phenomenon and a documented barrier to national productivity growth.  In light of the strategic role of productivity growth in promoting national economic performance, under-spending on transit can be viewed a matter of federal concern. 

A common counter-argument is that provincial and local governments often take the lead role in nationally important policy functions, especially in cases where, like traffic congestion and urban mobility, problems and solutions vary from one region to another.   Non-federal governments might answer that, notwithstanding this logic, they do not have the fiscal capacity to align transit spending with economically optimal levels.   In Toronto alone, the results of this study suggest that subsidy to the Toronto Transit Commission would need to increase from about $700 million a year to fully $1.7 billion a year.  In Montreal, subsidy would also need to increase significantly.  The  “affordability” argument is ultimately a matter of priorities rather than analysis and can only be resolved in that context.

Another concern with federal intervention is the possibility that federal contributions would be used to substitute for rather than complement provincial and local spending.  Nothing of national economic significance would be gained by federal financial intervention if non-federal governments were to back-out their contributions proportionately. In the United States, where federal grants and contributions are tied to local matching formulas, empirical studies indicate some “leakage” of state and local dollars in response to federal funding.  Such leakages can be minimized, though potentially not eliminated, with innovative federal control mechanisms.

 


1         Introduction

This paper examines three related but distinct questions:

·        Is urban transit investment economically worthwhile? What kind of transit investments yield the greatest economic pay-off?

·        Is transit subsidy economically justified? and

·        Is there a compelling case for expanding the federal financial role in urban transit?

Question one represents an inquiry into the fundamental value proposition for transit; whether the economic benefits justify the economic costs.  The payment of subsidy, question two, hinges on more than a sound value proposition.  If transportation markets were reasonably well behaved, good investments would be self-sustaining.  The economic appropriateness and degree of subsidy must thus be examined in relation to market failure, including factors such as monopoly, externalities (congestion and environment), economies of scale, imperfect information, public goods and equity.

Question three is part of a much wider discussion about how public policy functions should be allocated among the different levels government (“federalism”).  While a federal role in transit finance would demand both a strong value proposition and a reasoned economic case for subsidy, more is at issue.  Policy here must turn on, (i) the strategic significance of transit in the national context; (ii) the fiscal capacity of different levels of government; and (iii) the extent to which federal contributions would substitute for rather than add to provincial and local outlays.

Plan of the Report

The report is organized around the three main questions outlined above.  Section 2 examines the investment worth of transit.  The level of justifiable subsidy is investigated in Section 3.  Section 4 addresses implications of the findings for the federal role in transit support.

2         The Economic Value of Transit

Unlike highways, for which a reasonably rigorous micro-economic analysis framework has been in place for more than 30 years, the appraisal of transit investment has been given to more subjective evaluation schemes. Although highway decision makers are not habituated to economic counsel, highway investment options are often examined in terms of their economic benefits, economic costs, net present values and rates of return:  something of their economic worth is known accordingly.  In contrast, transit projects are traditionally characterized for decision makers in terms of “planning balance sheets,” “multi-criteria scorecards,” “cost-per-trip” indices and other schemes that reveal little about transit’s economic value or the benefits of transit relative to its costs.

Recent shifts in common practice have however endeavoured to align decision support work in the transit sphere with the principles of economic analysis.   A reasoned cost-benefit analysis framework has emerged.  Peer reviewed and applied in a number of field situations, the framework is beginning to reveal a coherent account of transit’s net economic value.[6]

Costs and Benefits of Transit

Costs

The economic costs of transit include capital expenditures on vehicles, facilities and equipment; outlays for maintenance and repairs; spending on wages, fuel and other operating costs; and the opportunity cost of capital employed.   Some economists believe that distortions in transit labour markets create deadweight losses which must be treated as an additional cost.  Probably more relevant in the United States than in Canada, the argument is that labour conditions “grand-fathered” when transit systems shifted from private to public ownership have driven transit wage rates above the value of the marginal product of transit workers.  If so, wages would incorporate an element of rent, the value of which would properly be treated as a cost. 

Although transit proponents often seek to include construction employment on the benefits side of the ledger, there is no evidence that either building transit facilities or operating them reduces structural unemployment or underemployment in urban labour markets. Because of the scale of some transit projects (subways in particular), any macroeconomic effects are more likely to be negative than positive.   This is because large-scale construction projects fuel inflation (by bidding up wage rates) during times of economic expansion.  In short, construction labour is a cost, not a benefit of transit.

Benefits

The economic benefits of transit fall into three categories:

·        Congestion management.  Increased use of transit in lieu of automobiles leads to improved highway travel times and travel time reliability. Benefits accrue to both the passenger and freight sectors.  Whereas the benefits of highway capacity expansion in congested corridors diminish as new demand is induced to use the facility, rail systems show evidence of stabilizing congestion growth over the longer term.

·        Affordable mobility.  Increased use of transit by low income individuals in lieu of taxis and other higher-price modes creates a gain in consumers’ surplus.  Household budgetary resources are released for more highly valued uses, including shelter, nutrition and childcare.

·        Land-use.  Well designed, at-grade rail transit stations create increased property values in high density neighbourhood environments.  Although a portion of the increased value is attributable to time savings, there is evidence that transit facilities give rise to non-use benefits in the form of “amenity value” (value associated with urbanized living arrangements.

The Economic Benefits of Congestion Management Transit-induced highway delay savings are commonly valued at between $5.00 and $10.00 per hour for passenger traffic and $150.00 per hour for freight.  However, new scientific evidence indicates that actual values are some three-times higher during periods of unreliable and unpredictable traffic conditions.  The research finds that individuals are willing to pay substantially more for improvements in the predictability of journey times than for improvements in average speed.[7]  While the finding applies equally to highway travel time improvements induced by roadway expansion and transit, the implications for bus versus rail investment are important.  As discussed next, this is because rail systems in congested corridors can yield a more time-stable (sustainable) improvement in travel times and thus greater travel time predictability.

For the past several years, researchers of traffic systems have observed that in congested urban corridors served by a high-capacity transit mode, door-to-door journey times tend to be equal among modes.  New research postulates an economic theory and empirical evidence that supports these observations. 

In general, the amount of time it takes to make a trip during peak hours, and the number of users who decide to use roads versus transit, depend on a number of factors:  the highway capacity, the costs of using a car versus taking public transit, and individual tastes.  In spite of all of these variables, a travel pattern emerges in congested urban corridors:  the time it takes to complete a journey, door-to-door, tends to be the same across different modes of transportation.  Furthermore, it is the journey time by the transit mode that seems to determine the journey time for other modes.  This pattern of converging travel times is predicted by utility theory.[8]

Current planning practice usually does not allow for the convergence of travel times and, in fact, proceeds quite differently.  The standard planning practice consists first of predicting the number of trips that will be made between two locations, based on the number of inhabitants in both places, the location of jobs, etc.  Then, these trips are apportioned among the different modes based on the traveller's income, personal tastes, and so on.  It is at this point that standard practice departs from the theoretical and empirical results set forth by convergence theory. The standard approach does not account for travellers who move back and forth between modes, much as motorists move between lanes on a highway in their search for a faster-moving lane.  It is the presence of these "explorers" that allows for the travel times to converge across modes, toward those for rail transit.

Triple Convergence or Travel Time Convergence?  Downs[9] discusses as a principle of traffic analysis the notion of "triple convergence" whereby peak hour traffic speeds converge spatially (across the road network), in time and across modes.  Under the triple convergence principle, an improvement in peak-hour travel conditions on high-capacity roadways "... will immediately elicit a triple convergence response, which will soon restore congestion during peak periods, although those periods may now be shorter".  The prospects for improving transportation performance through transit investment are just as promising.  Downs states that a new fixed-rail public transit system should initially reduce peak-period traffic congestion, "...[b]ut as soon as drivers realize that expressways now permit faster travel, many will converge...onto those expressways during peak periods".

However, in congested urban corridors the observed convergence of peak-hour, door-to-door journey times--by the highway and transit modes suggests that a different dynamic is at work.  If the convergence dynamic were in effect, a fixed-rail investment would yield an improvement in journey times by highway.  In general, the convergence of all journey times to the journey time by the rail mode implies that a change in the performance of transit will result in a stable change in the performance of highways.

Modal Explorers  What explains the phenomenon of travel time convergence?  One claim is that a dynamic relationship exists which parallels that of a multi-lane highway.  Speeds across lanes tend to be equal because some drivers are "explorers" who seek out the faster-moving lane thus driving the system to an equilibrium speed shared by all lanes.  By the same token, in congested urban corridors some travellers and commuters are explorers who value travel time improvements highly.  They are not committed through circumstance or strong preference to either mode and they behave as occasional mode switchers.

If the transit mode has a high-speed, non-stop segment, then the door-to-door journey time by this mode will be relatively stable and small shifts in ridership will not significantly effect the journey time by the transit mode.  On the other hand, under congested conditions even a one-half percent increase in highway traffic volume in the peak period can have a major impact on journey times.

Because the journey time by transit is stable and determined by the speed of the high-capacity mode, transit "paces" the performance of the urban transportation system in the congested corridor.  The modal explorers, like exploring drivers on the multi-lane highway, serve to bring about an equilibrium speed across modes as they seek travel time advantages across modes.

Travel Time Equilibrium and Modal Choice  While travel time represents a dominant component in the cost of trips, the generally accepted models of modal choice and the assignment of trips to networks would not predict travel times to be equal.  Rather, the theory behind current practice is that individuals choose a mode based on income, car ownership, price differentials and modal preferences which account for non-money factors like convenience, uninterrupted travel, etc.  The persistence of equal, or near equal, travel times across modes in congested corridors suggests that current theory fails to correctly capture modal interrelationships in a multi-modal system.

Empirical Evidence  Economic theory indicates that if congestion is sufficiently high, then journey times will tend to equal the journey time by the transit mode under the assumption of growing marginal disutility.  This assumption can be tested empirically by estimating the relationships between travel time differentials, congestion and additional factors.

Source of Data  In an ongoing study for the Federal Transit Administration, door-to-door travel time tests were conducted on 17 urban corridors.  The testing was conducted between February and October of 1995.  The corridors were selected based on criteria which included:  congestion, population density, the existence of mature dedicated-guide-way transit systems, and public transportation headways.  A list of the seventeen corridors where data was collected is given in Table 1.  The corridors span a range of moderate to high congestion.  In each corridor random routes of origins and destinations were selected.  Survey crews conducted peak hour trips on the different modes under comparable conditions.  Over 1000 trips were recorded and some of the average results are reported in Table 2.  Of the trips taken, 570 pairs of comparable auto/transit trips were observed.  Congestion data for the metropolitan areas in which each of the corridors was taken from recent Transportation Research Board studies on urban congestion.  The Metropolitan Planning Organizations in each corridor provided information on transit headways.

Analysis of Data   A regression analysis of time differentials was conducted in which the absolute value of the travel time difference between auto vs. transit was regressed against the metropolitan area congestion index and the transit mode headway (minutes).  As explanatory factors, congestion and headway do little to explain the variation between each of the 570 trip pairs.  This is not surprising since these variables have no variation within the corridor and transit mode.  However, we observe that the coefficient for congestion is negative while that of headway is positive and both coefficients are significant at the 99 percent level.  This means that as congestion increases and as transit headways decrease, the travel times between the automobile mode and the transit mode become more equal.

 


Table 1: Strategic Corridors Measured

Corridor

Modes Measured

Atlanta—I-20

Auto, Heavy Rail, HOV

Atlanta—I-85

Auto, Heavy Rail

Boston--Mass Pike

Auto, Commuter Rail

Boston--Southeast Expressway

Auto, Heavy Rail

Chicago--Midway

Auto, Heavy Rail

Chicago--O'Hare

Auto, Heavy & Commuter Rail

Cleveland--Brook Park

Auto, Heavy Rail

Philadelphia Schuylkill--Bryn Mawr

Auto, Commuter Rail

Phila. Schuylkill--Upper Merion

Auto, Commuter Rail

Philadelphia--Wilmington

Auto, Commuter Rail

Pittsburgh--Parkway East

Auto, Express Bus

Princeton--New York

Auto, Commuter Rail

San Francisco--Bay Bridge

Auto, Commuter Rail

San Francisco--Geary

Auto, Express Bus

Washington--I-66

Auto, Heavy Rail, HOV

Washington--I-270

Auto, Heavy Rail

Washington--I-95 Woodbridge

Auto, Commuter Rail, HOV

Source: Federal Transit Administration

Undoubtedly there are additional factors contributing to the explanation of travel time differentials, some of which are location-specific while others are associated with price and other variables.  However, the evidence supports the theory that in congested urban corridors the growing marginal disutility from time spent travelling causes door-to-door journey times to converge to the journey time by the high-capacity, transit mode.  Furthermore, data indicate that reducing transit headways contributes to shorter trip times and also contributes to a reduction in the time differentials between modes.


Table 2  Door-To-Door Travel Times for Peak Journeys

Corridor

Auto Mode (Minutes)

Transit Mode (Minutes)

New York, Jamaica, Queens-Midtown Manhattan

63.9

64.4

San Francisco Bay Bridge

72.3

73.1

Phila. Schuylkill Expressway--Bryn Mawr

48.4

52.5

Chicago—Midway

54.2

60.6

Chicago--O'Hare

53.9

59.3

Pittsburgh Parkway East

38.1

42.5

Princeton--New York City

113.4

104.9

Washington--I-270

71.9

67.4

Source: Federal Transit Administration

 

 

 


Table 3:  Strategic Corridor Regression Results

Dependent Variable:  Absolute Value of Trip Time Difference

(Auto--Transit)

Variable

Coefficient (t-values)

Constant

15.30 (5.54)

Congestion Index

-3.48 (-2.45)

Headway

0.506 (7.80)

All coefficients are significant at the one percent level

Summary Statistics

Number of Observations

570

R?

0.098

Mean Dependent Variable

15.68

F-Statistic

30.97

Source:  Federal Transit Administration

The Economic Benefit of Affordable Mobility.  Although the use of transit by people from low income households is typically viewed from an equity rather than an efficiency perspective,  real resource gains do arise from transit’s availability in this sector.   Assessments of the demand curve for transit for low income travelers indicates that the cost of the “next cheapest” modal alternative creates much of their willingness to pay for bus or rail service.  The alternative is often taxi, which tends to consume three to four times more of the household budget among poorer households as compared with higher income families.  

As illustrated in Figure 1, transit thus creates a “consumers’ surplus” for the poor, the cash value of which represents resources available for other necessities, including housing and food.  The U.S. Federal Transit Administration estimates that the value of this surplus in the United States lies in the vicinity of $34 billion annually.  Compared with total annual outlays (capital and operating) on transit in the U.S. of $20 billion, this finding suggests that existing transit systems are economically justified on the strength of affordable mobility benefits alone.  As shown later, however, this does not appear to be true for new transit investment

 

 


Figure 1:  Consumer Surplus Associated with Affordable Mobility

 

Are Affordable Mobility Benefits Additive to Congestion Management Benefits?  The  risk of double-counting benefits here is low to moderate. The question turns on the extent to which measured time savings under the congestion management framework accrue to low-income, transit-dependent people, in which case time savings and consumer surplus are simply different ways of measuring the same economic value.  To the extent that low income people transfer to transit from taxis or from non-travel activities (induced demand), the mobility benefit they accrue  will not be time, but rather cash dollars.

The Economic Benefit of Transit’s Effect on Urban Land-Use.  Hedonic studies of how transit stations affect property values reflect both the capitalization of transportation benefits (i.e., the manifestation of delay savings) and any non-use benefits of transit due to improved neighbourhood form and general liveability.  Studies performed by the Federal Transit Administration indicate that at-grade rail stations yield in the region of $16.00 greater residential equity value for each foot closer a property is to the station.  Findings in San Francisco, for example, indicate that the average home carries $15,000.00 more value for each 1000 feet closer it is in relation to a BART station (other things being equal).

Are Light Rail Community Development Benefits Additive to Congestion Management Benefits?  Although improved property values can reflect enhanced access and thus time savings, the hedonic studies reported above indicate that the measured enhancement in land value is often greater than the capitalized value of time savings.  This implies that  non-use benefits arise from transit, an inference consistent with the hypothesis of “amenity value.”  Such “non-use amenity value” refers to property value created by the demand for higher density, walking oriented and less auto-dependent neighbourhoods,  neighbourhood attributes promoted by transit.  While additional research is warranted on the validity of this inference, urban scholars do observe that some people do indeed choose to live transit-oriented residential locations without any intention of actually using the transit service.

 Are Light Rail Community Development Benefits Additive to Affordable Mobility (Consumer Surplus) Benefits?  The risk of double-counting benefits here is low to moderate.  The question hinges on the propensity of transit-induced increases in property value to reflect the demand for housing by low-income, transit-dependent people in transit-oriented communities.  The greater this propensity, the more likely it is that increased property values are, in part, the capitalized value of consumer surplus benefits and thus not additive to the affordable mobility estimates given earlier.  To the extent however that the residential re-location decisions of low income households living beyond the immediate vicinity of fixed guide-way stations are rigid, empirically estimated transit-induced increases in property value will be mainly a reflection of other value-enhancing factors (see above). 

Return on Transit Investment

The handful of recent studies that apply the Benefit-Cost Framework outlined above provide some evidence of transit’s investment worth.  Studies are also indicative of the relative economic worth of bus and rail system investments.  The evidence for Cincinnati summarized in Table 4 is typical of other results.  Whereas bus improvements yield higher rates of return than rail investments, the absolute magnitude of economic benefits is greater with rail.  The difference is due principally to the congestion benefits of rail.  As shown in Table 5, delay savings account for more than 60 percent of total economic benefits associated with new rail systems.  Bus improvements, on the other hand, yield relatively greater affordable mobility benefits.

Another notable finding is that rates of return in relation to rail systems, while capable of reaching upwards of 10 percent (against an opportunity cost of capital of four percent), are more vulnerable to economic failure than bus investments.  A prospective new line examined by HLB in Austin, Texas indicated that the present value of total investment and operating costs would likely exceed the present value of total benefits by $176 million.  It is also noteworthy that affordable mobility and community land-use benefits taken together are often insufficient to justify rail system investment.  This finding indicates that the economic justification for rail stems principally from a market distortion in the delivery of highway services, namely the absence of road pricing.  This finding is significant in the consideration of subsidy, as discussed in the next section.

Are the U.S. findings reported above indicative of transit’s economic value in Canadian cities? The answer rests, among other things, on how similar the two nations are in relation to urban congestion, urban poverty and transit dependence, personal tastes relating to urban form, and the general propensity among car-owners to use transit.   On the one hand, the likelihood that congestion and poverty rates are somewhat higher in the U.S. than they are in Canada would suggest that transit delivers relatively more value in the United States.   This might be offset, on the other hand, by the higher propensity among the Canadian general public to use transit. While detailed Cost-Benefit transit evaluations in Canada would be needed to draw firm conclusions, the impression of off-setting factors appears to suggest that the U.S. findings are broadly indicative of the Canadian situation. 

Table 4: Comparison of Economic Rates of Return for Bus, Light Rail and Highway Capacity Investments

 

Bus Improvement, Region-wide

(Cincinnati)

Light Rail Region-wide

(Cincinnati)

New Highway Capacity

(Cincinnati)

Present Value of Total Cost (Million dollars)

$522

$6,218

$1,209.1

Present Value of Total Benefits (Million dollars)

$1,141

$10,784

$1,365.2

Net Present Benefits (Million dollars)

 

$619

$4,566

$1,56.1

Internal Rate of Return

 

27.14%

8.37%

4.91%

Source:  HLB Decision Economics, The Economic and Community Benefits of Transportation Options for Greater Cincinnati, February, 2001


 

Table 5: Summary of the Economic Benefits of Light Rail Projects in the U.S.

Category of Benefits

Light Rail, Green Line (Austin, Texas)

Light Rail, Orange Line (Austin Taxes)

Light Rail, corridor 1-71

(Cincinnati)

Total Benefits (Million U.S. dollars)

    Congestion Management

    Affordable Mobility

    Community Economic Development

Total Cost (Million U.S. dollars)

Net Present Value (Million U.S. dollars)

$1,369.9

        $852.5

        $224.0

        $293.5

$1,035.4

$334.5

$233.6

     $106.5

     $32.5

     $94.6

$410.0

-$176.4

$1,830.4

       $1,153

       $3,23.5

       $353.9

$1,043.7

$786.6

Source, HLB Decision Economics, Economic and Community Benefits of Transportation Options for Greater Cincinnati, February, 2001, prepared for Ohio-Kentucky-Indiana Metropolitan Planning Organization (and) Light Rail Transit in the Austin Urbanized Area: A Cost-Benefit Analysis, prepared for Austin Transit Authority, March, 2000

 

 

3         The Economic Level of Transit Subsidy

In 1978, Glaister and Lewis[10] reported a method for estimating the “second-best” subsidy level in relation to mass transit.  The premise is, that in absence of “first-best” pricing of highway services (ie, road pricing), lower fares and higher service quality than free markets would supply encourage transfer from private vehicles, alleviating the congestion externality.  The quantitative significance of the argument depends on the elasticities of demand for transit, the cross-elasticity of demand between road and transit, and the magnitude of the social marginal costs of congestion associated with passenger cars and with buses.  The model has been applied in both the U.K. and the U.S.  In those cases existing levels of subsidy were found to be in line with optimal levels.  This paper presents the first attempt to apply the model in Canada.

The results, shown in Table 6, indicate that optimal subsidy for urban transit in Canada lies in the range of $5 to $6 billion. This compares with current subsidy levels of about $2 billion annually.  Based on the environmental costs of road traffic alone, current subsidy levels appear about right.   The social marginal costs of congestion, however, drive economically desirable subsidy level well above current outlays.

Table 6: Second-Best Subsidy Results for Canada (1999)

Elements Included Estimated Marginal Social Costs

Operating Optimal Subsidy

(Millions)

Environment, Safety and Operating costs

$2,642

Congestion, Safety and Operating Costs

$5,490

Environment, Safety Congestion and Operating Costs

$5,661

Source:  HLB Decision Economics Inc (see Appendix A)

 

Tables 7 and 8 repeat the analysis specifically for Toronto and Montreal.  In Toronto, where total subsidy support from all levels of government in 1999 was just under $730 million, optimal subsidy for bus and rail together exceeds $1.7 billion (bus and rail combined).  The $1.2 billion optimal subsidy level estimated for Montreal (bus and rail combined) is about four-times the amount of current support reported by Canadian Urban Transit Association[11].   However, since reported subsidy levels for Montreal exclude certain categories of spending, it is most likely that the ratio of optimal subsidy to current subsidy is closer to the number we report for the Toronto Transit Commission.

 

Table 7: Second-Best Subsidy Results for Toronto Transit Commission (1999)

 

Environment, Safety & Operating Costs

Congestion, Safety & Operating Costs

Environment, Safety, Congestion & Operating Costs

Optimal Subsidy (Bus)

(Millions)

$317

$659

$679

Optimal Subsidy (Rail)

(Millions)

$476

$988

$1,019

Source: HLB Decision Economics (from) Appendix A and Appendix Table 3.

 

Table 8: Second-Best Subsidy Results for Société de transport de la Communauté urbaine de Montréal (1999)

 

Environment, Safety & Operating Costs

Congestion, Safety & Operating Costs

Environment, Safety, Congestion & Operating Costs

Operating Optimal Subsidy (Bus)

(Millions)

$228

$473

$488

Operating Optimal Subsidy (Rail)

(Millions)

$342

$710

$732

Source: HLB Decision Economics and Appendix Table 3.

 

Risk Analysis

The results given above are especially sensitive to two factors, (i) estimates of the cross-elasticity between auto use and transit fare and service levels;  and (ii) estimates of social marginal costs of automobiles and buses during peak period.  Unfortunately, these estimates are also especially uncertain (see Text Box 1).




Box 1: Marginal Social Costs of Automobiles and Buses

Measures of the marginal social costs of auto and transit use are scarce and uncertain.  The principal uncertainties arise in relation to the congestion and environmental costs of automobile and bus traffic.  

Congestion Costs.  Mohring (HLB) and Anderson (University of California) provide one of the few estimates of marginal operating and congestion costs in the U.S.  They report costs of $0.37 per passenger kilometre for automobiles and $0.29 per passenger kilometre for buses (each in heavy traffic).  There are no comparable estimates for Canadian cities.  Adding in the social costs of highway accidents in Canada to the marginal operating and congestion values given by Mohring and Anderson provides a rough guide to overall marginal social costs of congestion, safety and operating costs under congestion levels and values of time similar to those of Canadian urban areas.  The values are $0.29 per passenger kilometre for automobiles and $0.46 per passenger kilometre for bus (shown in the first row of the table below).

Environmental Costs.  There is even less evidence regarding the marginal environmental costs of automobiles and buses.  Canada’s Royal Commission on Passenger Transportation reported only the average environmental cost of congestion.  The Commission did so moreover only in relation to intercity auto and bus movements. Environment Canada reports that urban auto and transit traffic generate (respectively) 2.4 and 1.7 times more green house gases than intercity traffic.  If we assume average and marginal environmental costs to be equal, factor these numbers up by 2.4 and 1.7 for the urban/intercity differential in emissions, and add in the marginal operating and safety costs of auto and transit (which we assume to be equal to average costs in Canada) we obtain a rough estimate of the marginal social cost of environmental, safety and operating cost.  The values are $0.23 per passenger kilometre for automobiles and $0.22 for transit (shown in the second row of the table below).

Overall Marginal Social Costs.  The third row of the table combines the marginal social costs of safety and environment estimated above with the marginal operating and congestion cost estimates of Mohring and Anderson.  This gives our “best estimate” of overall marginal social costs of $0.30 per passenger kilometre for transit and $0.47 for automobiles.  As shown in the table, the implication is that the marginal environmental costs of automobile and bus traffic are very low in relation to congestion and other cost factors.

Risk Analysis.  The estimates are clearly uncertain.  The findings reported in the main text reflect the third row in the Table below.  The risk analysis reflects subjective range of plus or minus 20 percent  (see text Tables 4 and 5).  The risk analysis assumes that the estimates are equally likely to be too low and too high (the probability distributions are “symmetrical”).

Marginal Social Costs ($ per km)

Elements Included in Estimated Cost

                                  Transit          Auto

Congestion; Safety; Operating Costs                              $0.29           $0.46

Environment; Safety; Operating Costs                           $0.23           $0.22

Congestion; Environment; Safety; Operating Costs      $0.30           $0.47

 

Sources: Canadian Urban Transit Association, Canadian Transit Fact Book: 1999 Operating Data  1999: Ministry of Supply and Services, Final Report of The Royal Commission on National Passenger Transportation, 1992: Lewis, David, and Fred L. Williams, Policy and Planning as Public Choice, Ashgate Publishing Limited, England, 2000: Environment Canada, “Foundation Paper on Climate Change – Transportation Tables”, December , 1998: HLB Decision Economics, “Cost Benefit Study on NHS in Canada” Inter-provincial Council of Ministers of Transport, 1998: Mohring, H. and D. Anderson, “Congestion Costs and Congestion Pricing,” University of California, Irvine (Working Paper), March, 1996

 

We conducted a risk analysis based on subjective probability ranges for the cross-elasticities and marginal social costs (See Figures 3, 4 and 5 and Table 9).  Based on a Monte Carlo simulation, the risk analysis indicates an 80 percent probability that the optimal transit subsidy level for urban Canada lies above $4.5 billion a year.  Shown in Figure 2, the risk analysis indicates an even higher probability (greater than 90 percent) that the existing level of subsidy (of $2 billion annually) lies beneath that required for an efficient allocation of transportation resources.  Thus, even though a great deal of uncertainty exists in relation to key assumptions, the likelihood is quite high that, from an economic perspective, spending on urban transit in Canada today is too low.

Figure 2:  Simulation and Risk Analysis Results

 


 

Figure 3: Cross-Elasticity of Demand for Peak Auto with respect to Peak Transit Fares

 

Median

Lower 10%

Upper 10%

Elasticity

0.02500

0.02000

0.02625

 

Source:  Oum, Tae Hoon, Transport Economics, Korea Research Foundation, 1995; Lewis, D. and William F.W., Policy and Planning as Public Choice: Mass Transit in the United States, Ashgate, 1999


Figure 4:  Marginal Social Cost of Peak Private Vehicle Travel

 

Median

Lower 10%

Upper 10%

$ Per km

$0.47

$0.37

$0.56

 

Sources: Canadian Urban Transit Association, “Canadian Transit Fact Book: 1999 Operating     Data”, 1999: Minister of Supply and Services, “The Final Report of The Royal Commission on National Passenger Transportation”, 1992: Lewis, David, and Fred L. Williams, “Policy and Planning as Public Choice”, Ashgate Publishing Limited, England, 2000: Environment Canada, “Foundation Paper on Climate Change – Transportation Tables”, December Ottawa, 1998: HLB Decision Economics, “Cost Benefit Study on NHS in Canada”, 1998: Mohring, H. and D. Anderson, “Congestion Costs and Congestion Pricing,” University of California, Irvine (Working Paper), March, 1996.


Figure 5:  Marginal Social Cost of Peak Transit Travel

 

Median

Lower 10%

Upper 10%

$ Per km

$0.30

$0.23

$0.35

 

Sources: Canadian Urban Transit Association, “Canadian Transit Fact Book: 1999 Operating     Data”, 1999: Minister of Supply and Services, “The Final Report of The Royal Commission on National Passenger Transportation”, 1992: Lewis, David, and Fred L. Williams, “Policy and Planning as Public Choice”, Ashgate Publishing Limited, England, 2000: Environment Canada, “Foundation Paper on Climate Change – Transportation Tables”, December Ottawa, 1998: HLB Decision Economics, “Cost Benefit Study on NHS in Canada”, 1998: Mohring, H. and D. Anderson, “Congestion Costs and Congestion Pricing,” University of California, Irvine (Working Paper), March, 1996.


 

Table 9 :  Other Assumptions in the Risk Analysis

Variable Description

Median

Elasticity of Demand for Peak Transit Travel with respect to Peak Fares

-0.35

Elasticity of Demand for Off-Peak Transit Travel with respect to Off-Peak Fares

-0.87

Cross-Elasticity of Demand for Peak Auto Travel with respect to Off-Peak Fares

0.001600

Cross-Elasticity of Demand for Peak Transit Travel with respect to Off-Peak Fares

0.029000

Cross-Elasticity of Demand for Off-Peak Transit Travel with respect to Peak Fares

0.040000

Operating Costs of Off-Peak Transit Travel, $/km

$0.220437

Demand for Peak Auto Travel, Million km

149,500

Demand for Peak Transit Travel, Million km

8,125

Demand for Off-Peak Transit Travel, Million km

4,375

 

4         Federal Role

Does the likelihood that Canada under-spends on transit signify the need for federal financial participation in the subsidization of municipal transit systems.  The matter turns (inter alia) on transit’s strategic importance from a national perspective. The main argument in favour of a federal role is that congestion is a nation-wide phenomenon and a major barrier to national productivity growth.  In light of the strategic role of productivity growth in promoting national economic performance, under-spending on transit can be viewed a matter of federal concern. 

A common counter-argument is that provincial and local governments often take the lead role in nationally important policy functions, especially in cases where, like traffic congestion and urban mobility, problems vary in size and type from one region to another.   Non-federal governments might answer that, notwithstanding this logic, they do not have the fiscal capacity to align transit spending with economically optimal levels.   In Toronto alone, the results of this study suggest that subsidy to the Toronto Transit Commission would need to increase from about $700 million a year to $1.7 billion a year.  In Montreal, subsidy would need to increase three to four-fold.  The  “affordability” argument is ultimately a matter of priorities and can only be resolved in that context.

Another concern with federal intervention is the possibility that federal contributions would be used to substitute for rather than complement provincial and local spending.  Nothing of national economic significance would be gained by federal financial intervention if non-federal governments were to back-out their contributions proportionately. In the United States, where federal grants and contributions are tied to local matching formulas, empirical studies indicate some “leakage” of state and local dollars in response to federal funding. Such leakages can be minimized, though potentially not eliminated, with innovative federal control mechanisms.

 

 


Appendix A. Second-Best Optimal Subsidy: Theory and Application

Throughout this paper and in keeping with the original Glaister - Lewis framework, we use the following indices:

1  :  Peak hour private vehicle

4  :  Off-peak bus

2  :  Off-peak private vehicle

5  :  Peak hour rail

3  :  Peak hour bus

6  :  Off-peak rail

 

Elasticities

The cross-price elasticity of demand for transportation services on mode i with respect to prices on mode j will be given by the standard equation for price elasticity as follows:

 

(1)

 

Where

            pi         are the prices on mode i in $ per passenger mile, and

            Xi         are the demands on mode i in passenger miles.

 

If cross-price elasticities of auto travel with respect to public transit fares are estimated to be zero, implying that there is no way of persuading automobile users to switch to buses or rail transit regardless of price, then the Glaister-Lewis model would predict that transit fares should be set at the marginal cost of delivering service. If these elasticities do not equal zero, some level of transit subsidy will be efficient in the absence of road pricing.

Deriving the Equation System

Glaister-Lewis conceived of the consumer’s problem as a maximization of the consumer’s expenditure function less the operating costs of the various public transit modes.  The maximization, following the Glaister-Lewis paper, can be expressed as follows:

(2)




Where

            G(p, X1, X3, ,u)        is the expenditure function aggregated across individuals,

            Xi                                            is the traffic level for mode i

            (p3,...,p6)                      is a vector of transit fares,

                                            is a vector of all other prices including p1 and p2.,

            u                                  is a vector of constant utility levels, and

            Ci                                 are the operating costs of the public transit modes.

 

The expenditure function, representing the long run demand responses to prices, depends on peak car and bus traffic levels because of the negative effects of congestion on consumer utility.  This relationship implies that for a given vector of prices, an increase in peak traffic requires a compensating increase in income to maintain the previous level of consumer utility.  This relationship is known as the compensating variation and is given by the difference between expenditure function evaluated at the “reference” prices ai and a lower set of prices pi.  The compensating variation is the amount of money that would be required to compensate for an increase from p3,...,p6 to a1,..., a6, where the ais represent higher peak-hour congestion levels than the p’s.

The other terms within the [ ] are the operating subsidies required for the peak and off-peak bus and rail transit services.  The compensating variation and the public transit fare revenues (piXi) represent consumers’ total willingness-to-pay from which the transit systems’ operating expenses (Ci(Xi)) must be subtracted.


Equation 2 is differentiated with respect to p3, p4, p5, and p6.  Differentiating equation 2 with respect to p3 yields one of four first-order conditions for a maximum as follows:

(3)

Similar expressions are obtained from differentiating with respect to p4, p5 and p6.

Using the following properties and definitions:

 

(4)

 

Where S1 is the marginal social cost of peak automobile travel per passenger mile and S3 represents the marginal social cost of peak bus travel per passenger mile.  Substituting these expressions into the first order condition expressed in equation 3 and collecting terms results in the following expression:

(5)

 

Similar expressions are obtained from the other three first-order conditions after substituting and rearranging terms.

Optimal Fares and Subsidies System of Equations

The equation system that allows the calculation of the “second-best” optimal fare derives from the four first-order conditions for the maximization problem in equation 2.  The first order conditions, after converting to elasticity form, reduce to: 

(6)
a-d

 

 

 

 

 

This system of equations fully identifies the optimal transit pricing structure in the absence of road pricing.  This system can be written in matrix notation as follows:

 

 

 

(7)

 

 

Solving the System

The preceding system of equations is a set of four equations with four unknowns, which is solvable using linear algebra techniques.  The object of this project is to determine the values of the p’s in the equations from which the optimal subsidy levels can be calculated. 

This model can be applied to transportation systems with automobile, bus and rail modes.  When rail is not available, the system of equations reduces to two equations with two unknowns as follows:

 

 

                                                                                                                                                                                                                 (8)

 

The difficulty in solving the system increases rapidly with the number of modes and periods under consideration.  This system can be expressed as a linear system and solved using matrix inversion.  This system does not provide explicit solutions for the optimal fares, but these can be calculated using some assumed functional forms for the demand and cost functions.

Estimates for Si, Ci, and Xi can be obtained or estimated from secondary sources and using standard functional forms for the cost and demand functions.  The pi‘s can then be determined by simple algebra as shown below.

 

(9)

 

                                                                       

 

 

                 (10)

 

Secondary data sources provide a set of parameters with which to calculate the optimal subsidies for a set of transit systems.  The original Glaister-Lewis paper relied on a set of secondary sources augmented by sensitivity analysis to account for uncertainty in some of their variables.  This application of the methodology is augmented by risk analysis to account for uncertainty surrounding the values chosen to estimate the equation system.

In order to estimate pi, the optimal price for each mode on peak and off-peak times, all other variables in the system, presented in the model, must be estimated or identified.  The inputs needed to solve the system are presented in Table 5.

Input Requirements for Second-Best Model

Variable

Description

hij

Cross-price elasticity of demand* for mode i with respect to prices on mode j for i,j Î{1,...4}.

S1

Marginal social cost of private vehicle travel per passenger kilometer during peak time.

S3

Marginal social cost of bus travel per passenger kilometer during peak time.

C4

Operating costs of the off-peak bus transit per passenger kilometer.

X1

Demand for peak auto travel in passenger km

X3

Demand for peak bus travel in passenger km

X4

Demand for off-peak bus travel in passenger km

X5

Demand for peak rail travel in passenger km

X6

Demand for off-peak rail travel in passenger km

 

* The cross-price elasticity of demand for commodity i with respect to the price of commodity j is the responsiveness of the consumers’ demand for commodity i (in percentage terms) to a change in the price of commodity j (also in percentage terms).

 

The input data assumptions are shown in Appendix Tables 1. Sources are given in Appendix Tables 2 and 3.


Appendix Table 1: List of Assumptions (median estimates)

Variable Description

Canada

Toronto

Montreal

Elasticity of Demand for Peak Transit wrt Peak Transit Fares

-0.35

-0.35

-0.35

Elasticity of Demand for Off-peak Transit wrt Off-peak Transit Fares

-0.87

-0.87

-0.87

Cross-Elasticity of Demand for Peak Auto wrt Peak Transit Fares

0.025

0.025

0.025

Cross-Elasticity of Demand for Peak Auto wrt Off-peak Transit Fares

0.0016

0.0016

0.0016

Cross-Elasticity. of Demand for Peak Transit wrt Off-peak Transit Fares

0.029

0.029

0.029

Cross-Elasticity of Demand for Off-peak Transit wrt Peak Transit Fares

0.04

0.04

0.04

Marginal Social Costs of Congestion, Safety, Environment & Operating Costs, Peak Auto Travel, $/km

$0.47

$0.47

$0.47

Marginal Social Costs of Environment, Safety & Operating Costs, Peak Auto Travel, $/km

$0.22

$0.22

$0.22

Marginal Social Costs of Congestion, Safety & Operating Costs, Peak Auto Travel, $/km

$0.46

$0.46

$0.46

Marginal Social Costs of Congestion, Safety, Environment & Operating Costs, Peak Transit Travel, $/km

$0.30

$0.30

$0.30

Marginal Social Costs of Environment, Safety & Operating Costs, Peak Transit Travel, $/km

$0.23

$0.23

$0.23

Marginal Social Costs of Congestion, Safety & Operating Costs, Peak Transit Travel, $/km

$0.29

$0.29

$0.29

Operating Costs of Off-peak Transit Travel, $/km

$0.22

$0.19

$0.23

Demand for Peak Auto Travel, Million km

149,500

47,424

34,072

Demand for Peak Transit Travel, Million km

8,125

..

..

Demand for Off-peak Transit Travel, Million km

4,375

..

..

Average Trip Length - Peak Transit, km

5

10

8

Average Trip Length - Off-Peak Transit, km

15

10

8

Demand for Peak Bus Travel, Million km

..

1,596

934

Appendix Table 1 cont’d

Demand for Off-peak Bus Travel, Million km

..

860

503

Demand for Peak Rail Travel, Million km

..

981

917

Demand for Off-peak Rail Travel, Million km

..

528

493

 


Appendix Table 2: List of Sources for Canada-Wide Estimates

Variables

Data Source

Comments

Cross-price Elasticity of Demand (for mode i with respect to prices on mode j)

Glaister and Lewis, "An integrated Fares Policy for Transport in London", Journal of Labour Economics, Vol. 9, 1978

These elasticity estimates are being used extensively in many studies including Lewis and Williams, "Policy and Planning as Public Choice: Mass Transit in United States", 2000.

Marginal Social Costs of Congestion

Mohring, H. and D. Anderson, "Congestion Costs and Congestion Pricing", Working Paper, University of California, Irvine, 1996.

Marginal social costs are reported for dollar per mile for the U.S. These are converted into dollar per kilometre.

Average Social costs of Environment & Safety

Minister of Supply and Services, "The Final Report of the Royal Commission on National Passenger Transportation", 1992

Average costs of environment and safety are reported. Assuming that average costs equal marginal costs, average costs can be used as a proxy for marginal costs

Operating Costs of Transit (peak and off-peak, $ passenger kilometre)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 1999

Total operating costs divided by total passenger kilometre (no social costs)

Operating Costs of Auto (peak, $ per passenger kilometre)

HLB, "Report on Cost-Benefit Study for NHS in Canada", 1998.

Operating costs per passenger kilometres are estimated uder the assumption that an auto, on average, runs 10 km in a litre and an auto needs one litre oil change after every 3000 KM.

Demand for Peak Auto Travel (passenger KM)

Environment Canada, " Foundation Paper on Climate Change - Transportation Tables", Ottawa, 1998.

Based on the Ottawa Transit Commission report that 65% of the passenger kilometres are driven during peak times, 65% of total auto passenger kilometres are the peak time auto travel demand.

Demand for Peak Transit Travel (passenger KM)

Environment Canada, " Foundation Paper on Climate Change - Transportation Tables", Ottawa, 1998.

Based on the Ottawa Transit Commission report that 65% of the passenger kilometres are driven during peak times, 65% of total transit passenger kilometres are considered for the peak transit travel demand

Demand for Off-peak transit Travel, (passenger KM)

Environment Canada, " Foundation Paper on Climate Change - Transportation Tables", Ottawa, 1998.

Based on the Ottawa Transit Commission report that 35% of the passenger kilometres are driven during off-peak times, 35% of total transit passenger kilometres are considered for the off-peak transit travel demand.

Average Trip Length - Peak Transit, (KM)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 1999

Total Passenger km/Passenger Trips

Average Trip Length - Off-Peak Transit

(KM)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 1999

Total Passenger km/Passenger Trips

 

Appendix Table 3: List of Sources for Toronto and Montreal Estimates

Variable

Data Source

Comments

 

Operating Costs of Transit  (peak and off-peak, passenger KM)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 1999

Total operating costs in Toronto and Montreal are divided by total number of passenger kilometres in the respective city

Demand for Peak Auto Travel, (passenger KM)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 1999

Based on national data for Canada, passenger kilometres driven by auto are 18.5 times more than transit. Multiplying total transit passenger kilometres in Toronto and Montreal, respectively, with 18.5 gives an estimate of total demand for auto travel in passenger kilometres in Toronto and Montreal. 65% of that is the peak time auto travel. 

Demand for Peak Transit

 (Bus or Rail, passenger KM)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 1999

65% of total passenger kilometres of bus and rail in Toronto and Montreal are allocated for the peak time bus and rail demand.

Demand for Off-peak transit Travel (Bus and Rail, passenger KM)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 2000

35% of total passenger kilometres of bus and rail in Toronto and Montreal are allocated for the peak time bus and rail demand.

Average Trip Length - Peak Transit, (KM)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 2001

Total Passenger km/Passenger Trips in Toronto or Montreal

Average Trip Length - Off-Peak Transit (KM)

Canadian Urban Transit Association, "Canadian Transit Fact Book: Operating Data", 2002

Total Passenger km/Passenger Trips in Toronto or Montreal

 

 



[1] Lewis, D. and Williams, F.  Policy and Planning as Public Choice: Mass Transit in the United States, Ashgate, 1999

[2] Although dwell times in very crowded rail systems (such as Tokyo’s) are affected by crush loads, there is no such experience in Canada or the United States.

[3] Bergson, A. On Monopoly Welfare Losses, American Economic Review, December, 1973

[4] Glaister, S. Consumer Surplus and Public Transport Pricing,  Economic Journal, December, 1974

 

[5] Glaister, S. and Lewis, D., An Integrated Fares Policy for Greater London, Journal of Public Economics, June, 1978 (reprinted in, Tae Hoon Oum et al, Transport Economics: Korea Research Foundation, Selected Readings, 1995

[6] op. cit.  Lewis and Williams.

[7] Small, K (University of California), Noland, R. (Imperial College), Chu, Xuehao (University of South Florida) and Lewis, D. (HLB Decision Economics Inc.), Valuation of Travel-Time Savings and Predictability in Congested Conditions for Highway User-Cost Estimation,  National Cooperative Highway Research Program Report 431, National Academy Press 1999 

[8] Lewis, D and Williams, F.W., Policy and Planning as Public Choice:  Mass Transit in the United States, Ashgate, 1999

[9] Downs, Anthony, Stuck in Traffic – Coping with Peak-Hour Traffic Congestion, The Brookings Institute, 1992

[10] Glaister, S. and Lewis, D., An Integrated Fares Policy for Transport in London, Journal of Public Economics 9, 1978

[11]  Subsidy data published by the Canadian Urban Transit Association excludes municipal and provincial capital contributions.