Fuel & Traffic Elasticities w/ Price & Income: A Review, Study notes of English Literature

A literature review of empirical studies published since 1990 on the relationship between fuel consumption, traffic levels, and indicators such as fuel efficiency and car ownership, with a focus on elasticities of road traffic and fuel consumption with respect to price and income. 175 estimation equations from various countries, including the usa, uk, canada, france, germany, belgium, oecd countries, and others. The data ranges from 1929 to 1998, with an average duration of 19 years per study. The document also discusses the indirect evidence in other published work.

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0144-1647 Print/1464-5327 Online/04/030275-18 © 2004 Taylor & Francis Ltd
DOI: 10.1080/0144164042000181725
Correspondence Address: Phil Goodwin, ESRC Transport Studies Unit, University College London,
Gower Street, London WC1E 6BT, UK. Email: [email protected]
Elasticities of Road Traffic and Fuel Consumption with
Respect to Price and Income: A Review
PHIL GOODWIN, JOYCE DARGAY and MARK HANLY
(Received 24 March 2003; revised 2 June 2003; accepted 26 September 2003)
A
BSTRACT
This paper gives the main results of a literature review of new empirical
studies, published since 1990, updating work on the effects of price and income on fuel
consumption, traffic levels, and where available other indicators including fuel efficiency
and car ownership. The results are broadly consistent with several earlier reviews, though
not always with current practice. The work was carried out as one of two parallel ‘blind’
literature reviews, the other being summarized in a companion paper by Graham and
Glaister: the results are broadly, though not in every respect, consistent.
Introduction
This is a companion paper to Graham and Glaister (2004). Both papers were
commissioned by the UK Department of the Environment, Transport and the
Regions (now called the Department for Transport), with the same project brief,
but to be carried out separately and independently as a means of ensuring the
robustness of the conclusions. The published versions were amended following
sight of each other’s draft reports, but these amendments were minor. The two
projects identified an overlapping but not identical source literature, used
different selection criteria when drawing from that literature, gave different
weights to meta-analysis and to earlier literature reviews as source material. They
had different emphases especially in relation to new evidence on freight (to which
Graham and Glaister give greater attention) and to new evidence on traffic
volumes and forecasting implications (to which the present paper gives greater
attention). The core results are strongly consistent, but there are some interesting
and illuminating differences.
Definitions
The present paper will not repeat the standard and well-rehearsed definitions and
caveats relating to the estimation and use of demand elasticities, except in relation
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0144-1647 Print/1464-5327 Online/04/030275-18 © 2004 Taylor & Francis Ltd DOI: 10.1080/

Correspondence Address: Phil Goodwin, ESRC Transport Studies Unit, University College London, Gower Street, London WC1E 6BT, UK. Email: [email protected]

Elasticities of Road Traffic and Fuel Consumption with

Respect to Price and Income: A Review

PHIL GOODWIN, JOYCE DARGAY and MARK HANLY

(Received 24 March 2003; revised 2 June 2003; accepted 26 September 2003)

ABSTRACT This paper gives the main results of a literature review of new empirical

studies, published since 1990, updating work on the effects of price and income on fuel

consumption, traffic levels, and where available other indicators including fuel efficiency

and car ownership. The results are broadly consistent with several earlier reviews, though

not always with current practice. The work was carried out as one of two parallel ‘blind’

literature reviews, the other being summarized in a companion paper by Graham and

Glaister: the results are broadly, though not in every respect, consistent.

Introduction

This is a companion paper to Graham and Glaister (2004). Both papers were

commissioned by the UK Department of the Environment, Transport and the

Regions (now called the Department for Transport), with the same project brief,

but to be carried out separately and independently as a means of ensuring the

robustness of the conclusions. The published versions were amended following

sight of each other’s draft reports, but these amendments were minor. The two

projects identified an overlapping but not identical source literature, used

different selection criteria when drawing from that literature, gave different

weights to meta-analysis and to earlier literature reviews as source material. They

had different emphases especially in relation to new evidence on freight (to which

Graham and Glaister give greater attention) and to new evidence on traffic

volumes and forecasting implications (to which the present paper gives greater

attention). The core results are strongly consistent, but there are some interesting

and illuminating differences.

Definitions

The present paper will not repeat the standard and well-rehearsed definitions and

caveats relating to the estimation and use of demand elasticities, except in relation

276 P. Goodwin et al.

to the distinction made between short- and long-term effects. Dynamic methods

of estimation are those—always using time series data—in which allowance is

made for a progressive build-up of effects over an explicitly identified time scale. This is now standard in the fuel consumption literature and increasingly common

in the traffic literature. Static (or equilibrium) methods are those—either using

cross-section or time series data—in which there is no explicit allowance for any

time scale of response, which their users hope relate to an end state, of

indeterminate date, when all responses have been completed.

Using this definition, the distinctions between ‘short term’ and ‘long term’ are

well-defined empirical results of the estimation, not assumptions based on

conjectures about behaviour. Short term is defined as responses made within one

period of the data used for the study, most commonly, in this context, within 1

year. Long term refers to the asymptotic end state when responses are (as close as

may be estimated) completed, and might vary according to what sort of

behaviour is under consideration: for much of the transport literature, periods of

5 – 10 years are estimated empirically, within which the greatest part of the

response is in the first 3–5 years. The present authors do not support the common

practice of using the phrases ‘short term’ and ‘long term’ as legitimate labels for

either cross-section equilibrium models, or unlagged time series models,

distinguished by whether they include big or small dimensions of behaviour, which has been common in the literature (and which was indirectly, but wrongly,

applied in a previous literature review by Goodwin, 1992).

New Data

Published studies, confined to those carried out in the UK or other countries

broadly comparable with the UK, were collected from academic journals,

government reports, researchers and consultants (including, but not giving

special attention to, studies carried out by the present authors). Although some

attention was paid to old but previously unnoticed studies, these were few: the

main emphasis was on papers published since the reviews carried out by

Goodwin (1992) and Oum et al. (1992), which this exercise was intended to

update, but not treating other cumulative reviews published during this period as

independent source material. Altogether, 69 new empirical studies of this type

were collected after filtering to ensure that the same results were not included more than once as a result of repeated publication in different forms or minor

variants, or progressive updating of the same base material. (This often happens.)

They were reinforced by a larger, and wider, literature adding other useful

evidence, earlier reviews, etc., although these were not used as sources in their

own right, and no literature review results were counted as data, since this would

have double-counted the sources used. These 69 studies produced 175 different

equations, containing 491 elasticities, based on data covering different periods

spread over the 62 years from 1929 to 1991. Over 100 results dealt with fuel

consumption, over 30 dealt with traffic levels, and others covered car sales and

fuel efficiency. Nearly all were either for cars only, or for cars and lorries added

together. At the aggregate level of interest to the review, there was very little

evidence related to commercial traffic as a whole, and no region- and sector-

specific freight studies were included.

The main properties of the database are summarized in Table 1.

278 P. Goodwin et al.

of a reduction are equal and opposite to the effects of an increase, both for price

and income. There is some empirical evidence that this assumption might not be

true, and the problem is particularly plausible if price rises induce changes in the car fleet through earlier scrappage of inefficient vehicles. Increased scrappage of

fuel-inefficient vehicles for price rises would then not be balanced by an extra

cheap available car stock for price falls.

Price Effects

Taking what were judged to be the best defined results, the overall picture

implied is as follows. (According to the assumption of symmetry, all the

statements might be reversed by replacing ‘up’ and ‘down’.) If the real price of

fuel rises by 10% and stays at that level, the result is a dynamic process of

adjustment such that the following occur:

(a) Volume of traffic will fall by roundly 1% within about a year, building up to

a reduction of about 3% in the longer run (about 5 years or so).

(b) Volume of fuel consumed will fall by about 2.5% within a year, building up to

a reduction of over 6% in the longer run.

The reason why fuel consumed falls by more than the volume of traffic is

probably because price increases trigger a more efficient use of fuel (by a

combination of technical improvements to vehicles, more fuel-conserving driving

styles and driving in easier traffic conditions). A further probable differential

effect is between high- and low-consumption vehicles, since with high prices, gas-

guzzlers are more likely to be the vehicles left at home or scrapped.

Therefore, further consequences of the same price increase are as follows:

(c) Efficiency of the use of fuel rises by about 1.5% within a year, and around 4%

in the longer run.

(d) Total number of vehicles owned falls by less than 1% in the short run, and by

2.5% in the longer run.

At face value, the results imply that the sensitivity of car ownership with respect

to fuel price is rather large, constituting a larger part of the effect of price on traffic

levels. Attention is drawn to a strong caveat: many studies only assess the effects on car ownership, on traffic or on use per car, but not at the same time or when

using the same data. Therefore, this conclusion is based on drawing together quite

different studies. Considerations of sample sizes suggest that the two effects (c)

and (d) are somewhat less well supported than (a) and (b). At this stage, the

authors’ view is that the results do support the idea that the effects of prices on car

ownership are important enough to take seriously, but are not necessarily such an

overwhelmingly large part of the overall effect.

Income Effects

If real income goes up by 10%, the following occurs:

 Number of vehicles, and the total amount of fuel they consume, will both rise

by nearly 4% within about a year, and by over 10% in the longer run.

Elasticities of Road Traffic and Fuel Consumption with Respect to Price and Income 279

 However, the volume of traffic does not grow in proportion: 2% within a year

and about 5% in the longer run.

Taken together, these would imply that use per car declines as income increases,

although (as with the price effect above) this depends on the comparison of

different studies and is not yet well supported by direct evidence. (A small

number of studies show a direct hint of this in the short run, but not in the long

run.) It is possible that as incomes increase, successive new car owners are

attracted into the car market who have less inclination to drive much. An

additional effect implied is that rising income has generally been associated

with a fall in the efficiency of the use of fuel, for which a possible reason might

be that as incomes grow, people buy newer, but larger, vehicles. Such decisions

can also raise the numbers of multiple cars per driver (e.g. ‘sports’ vehicles) in

wealthy countries/households, while in poorer countries/households, it may be

more associated with the first acquisition of cars by non-workers who typically

use them less.

One strong, repeated and consistent result is that studies using methods that

allow explicit estimation of short- and long-run elasticities separately nearly

always find that the long-run effect is substantially higher than the short-run

effect, for both price and income, and for all measures of demand. The present authors did not have sufficient information in the studies to

calculate an overall freight transport effect at the aggregate level separately, but

there are three pieces of relevant evidence. First, the effects of a price increase for

diesel plus petrol cause a smaller reduction in the total amount of fuel bought

than for petrol alone. Second, the effect of an overall fuel price increase has a

smaller effect on the total traffic level (including lorries) than petrol prices have on

the private car traffic. Third, as Graham and Glaister show, results of studies in

particular freight sectors must also imply an aggregate effect. However, there are

reasons to suppose that the influence of price on freight operators’ decisions can

be different from those affecting individuals, in particular because commercial

vehicle operators are less likely to ignore or misperceive categories of cost such as

labour, depreciation, etc., and because freight costs are part of a wider production

and distribution process. These considerations mean that the direct fuel costs are

likely to be a smaller proportion of (perceived) total costs for freight than for

passenger transport.

Although not all goods vehicles use diesel and not all cars use petrol, these results taken together suggest that goods traffic is less sensitive to price, and

private cars more sensitive. The difference is large enough to be important, but

not well defined enough in the data to provide a definite figure, because the

proportion of lorries and cars varies greatly, but is not recorded in most

studies.

The same is not true for effects of changes in income, for which the effect on

personal transport and goods transport seems to be rather similar in size.

Sources of Variation in Elasticities

Certain features are now well established and can be taken as strong results.

These relate to the differences between elasticities based on traffic or fuel

consumption, the effect of dynamic process, and the relative size of income and

price effects:

Elasticities of Road Traffic and Fuel Consumption with Respect to Price and Income 281

Table 2. Summary of meta-analysis results for sources of variation in estimated

elasticities

Petrol price: Pence per litre (p/litre) Pence per km (p/km)

Few direct results, so most inferences have to be indirect. Weak evidence that short run price elasticity is higher for p/km and long run higher for p/litre. p/km gives lower income elasticity then p/litre for vehicle-km, higher for vehicle stock

Functional form: Log-linear Linear Non-linear Semilog Box–Cox

No strong consistent pattern of effect of model form. Miscellaneous hints (e.g. log-linear gives lower elasticities of car ownership with respect to income than do other non-linear forms), but the effect is not strong

Model specification: Partial adjustment Error Correction Model Inverted-v lag

Some significant differences, but with no systematic or well-supported pattern that would relate to useful hypotheses or repeatable results

Quantity measure: Per capita Aggregate Per household

Some cases indicating that per capita measures give lower price elasticities and higher income elasticities for fuel consumption. Sample sizes too small for other demand measures

Data interval: Annual Quarterly Monthly

Annual data gives lower price elasticity and higher income elasticity for fuel consumption. A number of other statistically significant but non-systematic results

Data type: Time series Cross-section Cross-section/time series

Pooled time series/cross-section analysis (usually comparisons of countries) has some tendency to give lower elasticities when using dynamic specification

Country: Europe USA OECD Australia, Canada, Japan Other

USA has lower fuel consumption elasticities than Europe with respect to both price and income. The OECD seems to have higher elasticities, although this fact is not supported by consideration of the countries within the OECD. Other results are not very consistent

Time: Data set ends before 1974 Data set ends 1974– 81 Data set ends after 1981

Several results show that the middle period has higher price elasticities and lower income elasticities than early or late periods. There is no evident systematic decline except, perhaps, for long run income effect on fuel consumption

Estimation method: Ordinary least squares (two-stage least squares, three-stage least squares, maximum likelihood, error components, generalized least squares, iterative, instrumental variables, seemingly unrelated least squares)

Many significant differences, but unrevealing as in every case there was little or no consistency about whether differences were positive or negative

282 P. Goodwin et al.

 Further, but less firm, evidence related to fuel efficiency that could have a big

effect on how technical changes have an impact on traffic levels.

It is interesting that early results of congestion charging in London also seemed to

indicate that the price elasticities were higher than expected, so that traffic

reductions were greater, but revenue less, than forecast.

The results of the present review were used to inform changes to the

Department for Transport forecasting procedures implemented during 2002 and

contributed to substantial amendments in forecasts (Department for Transport,

2002), of which the most notable is that the level of traffic congestion is now

expected to increase between 2000 and 2010 rather than decline as had

previously been expected. This is prompting a reconsideration of several

important policy areas, including the role of road-user charging and fuel prices.

However, it should be stated that revised price elasticities were not the only

new element in this change of forecasts, and a reconsideration is currently in

progress for the effects of other policy instruments to which similar considera-

tions may apply.

Table 3. Overall results: elasticities of various measures of demand with respect to fuel price per litre produced by dynamic estimation using time

series data

Dependent variable Short-term Long-term

Fuel consumption (total) Mean elasticity – 0.25 – 0. Standard deviation 0.15 0. Range – 0.01, – 0.57 0, – 1. Number of estimates 46 51

Fuel consumption (per vehicle) Mean elasticity – 0.08 – 1. Standard deviation n/a n/a Range – 0.08, – 0.08 – 1.1, – 1. Number of estimates 1 1

Vehicle-km (total) Mean elasticity – 0.10 – 0. Standard deviation 0.06 0. Range – 0.17, – 0.05 – 0.63, – 0. Number of estimates 3 3

Vehicle-km (per vehicle) Mean elasticity – 0.10 – 0. Standard deviation 0.06 0. Range – 0.14, – 0.06 – 0.55, – 0. Number of estimates 2 3

Vehicle stock Mean elasticity – 0.08 – 0. Standard deviation 0.06 0. Range – 0.21, – 0.02 – 0.63, – 0. Number of estimates 8 8

n/a = Not available

284 P. Goodwin et al.

The price elasticities for fuel consumption are higher than the elasticities for

vehicle-km, i.e. when fuel price rises, people reduce their fuel consumption more

than their mileage. The methods available to do so are (1) change driving styles (less heavy acceleration and breaking, more fuel economical speeds; (2) a shift in

the pattern of journeys such that more of them are in fuel-efficient contexts (e.g.

light traffic at moderate speeds as compared with very low or very high speeds);

(3) changing to more fuel-efficient vehicles, e.g. newer, better maintained, smaller

or more technically advanced.

To a first approximation for small quantities, the relationship is as follows:

Elasticity of fuel efficiency = – elasticity of fuel consumption + elasticity of vehicle-km.

Given the results in Tables 2 and 3, this suggests that the effect of price changes

on efficiency is quite large.

The elasticity of the response of vehicle ownership to fuel price is smaller

than the elasticity of vehicle-km, but not much smaller. At face value, this

suggests that a larger component (perhaps 80%) of the change in traffic level is

Table 5. Overall results: elasticities of various measures of demand with respect

to income using dynamic estimation

Dependent variable Short-term Long-term

Fuel consumption (total) Mean elasticity 0.39 1. Standard deviation 0.25 0. Range 0.00, 0.89 0.27, 1. Number of estimates 45 50

Fuel consumption (per vehicle) Mean elasticity 0.07 0. Standard deviation n/a n/a Range 0.07, 0.07 0.93, 0. Number of estimates 1 1

Vehicle-km (total) Mean elasticity 0.30 0. Standard deviation 0.21 0. Range 0.05, 0.62 0.12, 1. Number of estimates 7 7

Vehicle-km (per vehicle) Mean elasticity – 0.005 0. Standard deviation 0.01 0. Range – 0.02, 0.005 0.00, 0. Number of estimates 3 4

Vehicle stock Mean elasticity 0.32 0. Standard deviation 0.21 0. Range 0.08, 0.94 0.28, 1. Number of estimates 15 15

n/a = Not available

Elasticities of Road Traffic and Fuel Consumption with Respect to Price and Income 285

brought about by a change in vehicle ownership. This is somewhat at odds

with a widespread assumption that car ownership is relatively insensitive to fuel price, and a whole literature demonstrating that travel demand responses

other than car ownership do have an importance of their own. Since the result

arises from relatively few studies in this review, it should be treated as less

well founded than the stronger effects noted above. Nevertheless, this is an

indication that car ownership is influenced, to some extent, by fuel price, and

this should not be dismissed.

Comparison with Earlier Reviews

Previous generations of literature reviews had been carried out by Oum et al.

(1992), Sterner and Dahl (1992), Goodwin (1992), then by Lee (1998), Espey (1998),

Graham and Glaister (2002), and others. These reviews substantially overlap,

making use of various subsets of the same primary sources, and updated by

accumulation: this naturally blurs any tendency for the estimates to change.

Table 6. Overall results: elasticities of various measures of demand with respect

to income using static estimation

Dependent variable Total

Of which

Cross-section data

Cross-section/time series data

Time series data

Fuel consumption (total) Mean elasticity 0.49 0.51 0.51 0. Standard deviation 0.40 0.39 0.39 0. Range 0.02, 1.44 0.15, 1.25 0.22, 1.44 0.02, 1. Number of estimates 20 6 9 5

Fuel consumption (per vehicle) Mean elasticity 0.55 no observations 0.52 no observations Standard deviation 0.35 0. Range 0.07, 1.14 0.07, 1. Number of estimates 19 19

Vehicle-km (total) Mean elasticity 0.49 0.47 0.46 0. Standard deviation 0.42 0.02 0.51 0. Range 0.05, 1.44 0.46, 0.48 0.05, 1.44 0.15, 1. Number of estimates 15 2 8 5

Vehicle-km (per vehicle) Mean elasticity 0.06 0.07 no observations 0. Standard deviation 0.03 0.01 – Range 0.03, 0.08 0.06, 0.08 0.03, 0. Number of estimates 3 2 1

Vehicle stock Mean elasticity 1.09 1.89 0.78 1. Standard deviation 0.56 – 0.40 – Range 0.49, 1.89 1.89, 1.89 0.49, 1.23 1.22, 1. Number of estimates 5 1 3 1

Elasticities of Road Traffic and Fuel Consumption with Respect to Price and Income 287

Using a mathematical derivation reported in Hanly et al. (2002), the main

implications are as follows:

 Price elasticities will be positively related to price level, and will rise and fall as

real price rises and falls.

 Price elasticities will be negatively related to income, and therefore would tend

to fall over time.

 Price elasticities will have a definite relationship with travel time elasticities.

Not derived directly from the generalized cost argument, but nevertheless

overlapping with its results, is the expectation from ideas of saturating car

ownership that elasticities of demand for cars should come down as income

increases, and therefore over time, with a consequent, possibly weaker, effect for

traffic volume.

Table 8. Review results from Goodwin (1992)

Dependent variable

Elasticity with respect to fuel price

Short Long

Vehicle-km – 0.16 ( n = 4) – 0.32 ( n = 6)

Fuel consumption – 0.27 ( n = 57) – 0.73 ( n = 53)

Results originally identified as ‘ambiguous’ or ‘unspecified’ are not included

Table 9. Review results from Espey (1998)

Dependent variable

Elasticity with respect to fuel price

Short Long

Elasticity with respect to income

Short Long

Fuel consumption – 0. ( n = 277)

( n = 363)

( n = 345)

Table 10. Review results from Graham and Glaister (2002)

Dependent variable

Elasticity with respect to fuel price

Short Long

Elasticity with respect to income

Short Long

Vehicle-km – 0.15 – 0.

Fuel consumption – 0.2 to – 0.3 – 0.6 to – 0.8 0.35 to 0.55 1.1 to 1.

288 P. Goodwin et al.

The literature database contains several sources of variation for incomes and

prices, primarily variation between places, and over time. Some results are shown

in Tables 11 and 12. Only the short-run fuel consumption price elasticity behaves

in a way fully in accordance with both hypotheses. The long-run elasticity is

supportive of the expectation that price elasticity is related to price level, but not

the overall trend of income. The static results appear to demonstrate the opposite.

In general, the expectation of a decline in income elasticities over time is mildly

supported.

The empty cells in Table 11 arise because the new dynamic studies included in

the present review mostly update the data series, therefore there are no new studies only relating to the earlier period. However, it is notable that the dynamic

results for fuel price, at – 0.1 for short-run and at – 0.29 for long-run effects on

traffic volume, show a slightly lower short-run elasticity but virtually the same

long-term elasticity as reported 10 years ago in, for example, Goodwin (1992),

whose own results seemed similar to comparable results 10 years earlier. If one

were only to look at the static results, there is an appearance of a downward

movement, although this is based on only seven studies. The most important

figure for forecasting, – 0.29 for the price elasticity in the latest period, is as high

as has ever been estimated. There is no obvious trend effect for income

elasticities.

Similar analyses were carried out for effects on the vehicle stock and fuel

efficiency not reported here.

Collating these results, one finds that quite a number of indications that

demand elasticities with respect to income have declined over the period of the

Table 11. Elasticities of fuel consumption with respect to fuel price and income

Period

Average elasticity with respect to fuel price

Short Long Static

Average elasticity with respect to income

Short Long Static

Pre-1974 – 0.29 – 0.45 – 0.56 0.52 1.28 0. 1974 – 81 – 0.35 – 0.93 – 0.36 0.37 1.08 0. Post-1981 – 0.16 – 0.43 – 0.28 0.38 1.04 0.

Table 12. Elasticity of vehicle-km with respect to fuel price and income

Period

Average elasticity with respect to fuel price

Short Long Static

Average elasticity with respect to income

Short Long Static

Pre-1974 n/a n/a – 0.54 n/a n/a 0. 1974 – 81 n/a n/a – 0.32 n/a 0.21 0. Post– 1981 – 0.10 – 0.29 – 0.24 0.30 0.73 0.

n/a = Not available

290 P. Goodwin et al.

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