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1 November 2009
Raúl Brey
Economic valuation of
externalities linked to
transport projects:
Foundations and
procedures
Proyecto: EVALUACIÓN SOCIOECONÓMICA Y FINANCIERA DE PROYECTOS DE TRANSPORTE
Con la subvención del Centro de Estudios y Experimentación de Obras Públicas (CEDEX) Ministerio de Fomento
Ref. PT-2007-001-02IAPP
www.evaluaciondeproyectos.es
ECONOMIC VALUATION OF EXTERNALITIES LINKED TO TRANSPORT PROJECTS: FOUNDATIONS AND PROCEDURES
1 November 2009 Raúl Brey
Summary
Revised 24/04/10 The purpose of this paper is to present, in a simplified way and as free as possible of
specialised terminology, the main procedures for the economic valuation of those
costs and benefits of transport projects that are not captured by the market and to
show the theoretical foundations behind these procedures.
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uresTable of Contents
1. INTRODUCTION ................................................................................................................. 1
2. THE CONCEPT OF ECONOMIC VALUE .................................................................................. 1
3. IMPLICATIONS OF THE CONCEPT OF ECONOMIC VALUE ..................................................... 2
4. PHASES PRIOR TO THE PROCESS OF ECONOMIC VALUATION .............................................. 3
4.1. THE IDENTIFICATION PHASE ......................................................................................................... 3
4.2. THE STAGE OF QUANTIFICATION ................................................................................................... 4
5. ECONOMIC VALUATION METHODS .................................................................................... 5
5.1. TECHNIQUES BASED ON RELATED MARKETS .................................................................................... 5
5.1.1. Averting behaviour method .......................................................................................... 6
5.1.2. Travel cost method (TCM) ............................................................................................ 6
5.1.2.1. Estimation of the economic value of recreational services of a site ..................... 7
5.1.2.2. Estimation of the economic value of changes in the characteristics of a site ....... 9
5.1.3. The hedonic price method (HPM) ................................................................................. 9
5.2. TECHNIQUES BASED ON HYPOTHETICAL MARKETS .......................................................................... 11
5.2.1. Contingent valuation method (CVM) .......................................................................... 12
5.2.2. Models based on multi‐attribute choices ................................................................... 14
6. CONCLUDING REMARKS ................................................................................................... 16
REFERENCES ......................................................................................................................... 19
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ures1. INTRODUCTION
The cost-benefit analysis requires quantification, ideally in monetary terms, of all the costs
and benefits attributable to the project under evaluation. In some cases, these costs and
benefits can be valued using the prices provided by the market system, making appropriate
adjustments in situations where there are market distortions. On the other hand, in cases
where impacts are not directly valued by the market, the monetary valuation is achieved by
procedures grounded in economic theory that aim to provide a monetary estimate of the
impact of these costs and benefits in the society. This chapter discusses a simplified
explanation of the most important procedures.
It should be emphasised, therefore, that the monetary quantification of impacts that, despite
affecting goods and services not traded in the market can be valued because they affect the
costs and production levels of other market goods and services, is outside the scope of this
chapter
The remainder of the chapter is organised into five sections. Section 2 explains the
principles that guide the process of economic valuation. Section 3 describes the
implications of this formulation. Section 4 sets out the steps to be followed in the process of
economic valuation. Section 5 describes the main methods of economic valuation and the
last section contains some final considerations.
2. THE CONCEPT OF ECONOMIC VALUE
By quantifying, in monetary terms, the non-market costs and benefits derived from a
project, the economist seeks to reflect how they will improve or worsen the welfare of the
society. The economic approach to capture these changes in welfare is based on satisfying
the preferences of individuals. It is first assumed that the satisfaction of individual
preferences results in an increase in their welfare. In this way, decisions taken by
individuals can serve as guidelines to define their welfare. If, for example, we observe that
a person trades a certain amount of money for a good X, it can be concluded that the
exchange improves the person’s welfare because their welfare is greater than if they had not
performed the action.
The next question that arises is: how much does the welfare of the individual improve? The
answer to this question leads to the concept of economic value.
Economic value is defined through the concepts of willingness to pay (WTP) and
willingness to accept compensation (WTA). The economic value to an individual of an
improvement caused by a project can be defined as the maximum WTP for getting it
(Measure 1) or the minimum WTA for renouncing it (Measure 2). Similarly, in the case of
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ures a cost, economic value is defined as the maximum WTP of the individual to avoid it
(Measure 3) or the minimum WTA for allowing the welfare loss caused by the cost
(Measure 4). Thus, after making the payment, on Measures 1 and 4, the individual retains
the welfare level he had before the project, while in Measures 2 and 3, the individual
maintains the level of welfare he would have had if the project was implemented.
The choice between one way or another to measure changes in welfare (WTP or WTA)
basically depends on the perception by the individual of his right to improve or not to bear
the cost. The results provided by both approaches tend to be quite different due to various
theoretical considerations (Hanemann 1991, Freeman 1993) and other considerations (see,
for example, Kahneman and Tversky 1979, and Hanley 1988).
Through these measures, an estimate of individual preferences for the proposed change
would be obtained and, since as stated above it is assumed that what the individual is
seeking when he satisfies his preferences is to maximise his welfare or utility, a monetary
measure of the change in welfare that this service, good or status of the environment poses
to the individual. Adding the welfare measures obtained for all individuals, we get the
monetary quantification of the project's impact on the society as a whole.
3. IMPLICATIONS OF THE CONCEPT OF ECONOMIC VALUE
From the discussion in the previous section we get the idea that the economic concept of
value is an anthropocentric concept, it is based on the individual and it revolves around
him. What are valued are the preferences of the society for the impacts caused by a project.
This concept of value has a number of important implications, some of which are detailed
below:
Goods or services will only have economic value if the individual values them
directly or indirectly. Since the economic value is measured in terms of WTP or
WTA for the goods or services, someone must be willing to pay for them or to
accept a direct or indirect compensation. Thus, if any impact caused by a
transportation project is not perceived by individuals, it will not entail any changes
in their welfare and therefore will have no value from this point of view. For
example, consider a coastal area. A biologist would look into the water of that area
and classify it as more or less degraded compared to other areas depending on the
degree of presence of micro-organisms. However, in economic terms, the
degradation of an area over another only has economic value if it is perceived by
individuals. If no one notices the difference in the quality of water then there is no
difference in value regarding this aspect.
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ures The approaches based on the costs for the monetary quantification of the impacts
of a project n not captured by the market1 are not related to individuals' preferences
and therefore to the concept of economic value previously explained. As seen
below, the use of economic valuation methods is not an easy and quick task. This
means that studies sometimes resort to simpler and quicker procedures consisting
of monetarily quantifying the impacts of a project through costs (for example,
through the restoration costs, costs of replacement or substitution, or control
costs). The main drawback of these procedures is that they are not based on the
preferences of individuals. Most of these methods assume that if the costs were
actually incurred it is because society values the good or service lost at least that
amount of money. Therefore, these methods must be applied when the cost to
replace, to avoid the loss or restore the non-market good or service have been
completed. This means admitting that decision-maker agents are capable of
making optimal choices when deciding whether to undertake these expenditures. If
the social agents have made an investment, for example, to restore a particular
environmental good it is because they "know" that the gains to society of such
action outweigh the costs and, therefore, these costs may be taken as a lower limit
for the economic value of that property.
The economic value of a good or service depends on both its characteristics and
the preferences of individuals with respect to those characteristics. This causes the
same good to be valued differently by different individuals and that its valuation
cannot be transferred directly to the economic valuation of the impacts of projects
in different studies.
4. PHASES PRIOR TO THE PROCESS OF ECONOMIC VALUATION
Before valuing a cost or benefit of a project, it is necessary to characterise the impact, i.e.
knowing exactly what we want to evaluate. Therefore, as a prelude to the monetary
valuation process, it is necessary to conduct a series of phases that are discussed below.
4.1. The identification phase
The purpose here is to discover and bring out all the possible potential impacts caused by
the development of an action. This phase is particularly important and complex in the case
of environmental impacts
1 As noted in the Introduction, we exclude the impacts on non-tradable goods and services when they act as factors of production,
since in such cases these impacts lead to changes in production costs, so they are directly reflected in the market. In these cases,
the cost-based approaches can be used to obtain the monetary quantification of these impacts (Freeman 1993).
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ures In order to undertake this identification stage, the holistic and interconnected nature of
natural systems requires in-depth knowledge of the various relationships. Furthermore, the
ability to set limits on the analysis is required so as to focus on a particular field, otherwise
the analytical spectrum would be unmanageable and too complex (space, time, type of
relationship, etc.). The establishment of these limits will markedly influence the quality of
the analysis, so they must be established rationally and reflected in the statement of results.
For a definition of the "catchment area" of the study there are different approaches. Below
are a list of those suggested by the International Union for the Conservation of Nature and
Natural Resources (IUCN) (1980):
a. Temporal and spatial horizon: It is necessary to define the geographic and time
scope in which we will measure the environmental effects. Obviously, there is no
general rule, but with regard to the natural limits, it is recommended to respect
them whenever possible. In the case of time limits, they should be long enough to
cover the lifetime of the investment project, while being aware that the process of
discounting that is usually done within the cost-benefit analysis may cause the
long-term values to eventually become negligible values, meaning extending the
time limit too far is not worthwhile.
b. Criterion of urgency: Under this approach we try to collect what the sensitivity of
natural systems to the proposed action is and the time we would have to develop
corrective and rehabilitative measures.
c. Degree of irreversible damage: This would involve determining the level of
irreversible effects produced by the plan.
Along with these criteria we should take into account other aspects of this process of
identification of impacts, including the nature of the effects (classification of different
effects according to various criteria such as: if they affect human health, productive
capacity of the environment, survival of certain species, etc.) or possible synergistic and
cumulative effects between the components of the project and other projects, because even
though individually the effects of various projects or their components can be small,
together they may prove very damaging to the environment.
4.2. The stage of quantification
Once the effects have been identified, the next step is to quantify them. This phase does not
consist of monetary quantification (this will be done later in the economic valuation), but to
express these effects in physical units. Obviously, it is not usually possible to quantify all
the effects. In such cases, these immeasurable effects should be expressed qualitatively.
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uresThe impacts caused by the project cannot be meaningfully quantified without a basis for
comparison, i.e. the conditions that would exist in the event of no action taking place. What
matters are the impacts directly attributable to the development of the action. Therefore it is
necessary to distinguish between changes attributable to the project from those that result
from the natural evolution. Thus, it is necessary to compare the situation "with" and
"without" the project, so it will be necessary to establish evolutionary trends or scenarios of
the environments affected by it.
Once these impacts have been identified and characterised (quantitatively or qualitatively),
the next step is to undertake their monetary valuation following the criteria explained
previously.
5. ECONOMIC VALUATION METHODS
Economic value has been defined above from the preferences of individuals. When the
costs or benefits of a project involve goods and services traded in the market, the decisions
that individuals take in that market may serve as a means to explore their preferences for
these goods and services and thus quantify the impact monetarily. In the case where the
costs or benefits do not have a market in which they are traded, alternative means must be
sought to reveal the preferences of individuals. These methods are the focus of this section.
These techniques rely on different assumptions and represent different ways of approaching
the preferences of individuals. This means that all the techniques cannot be used for
measuring any impact and it is necessary to consider each situation and clarify exactly what
is to be evaluated when choosing one or another technique. It may sometimes be necessary
to simultaneously use several techniques in order to each one picking a different aspect or
type of monetary value so we can then quantify the full impact.
These techniques are usually classified into two main groups: techniques based on related
markets and techniques based on hypothetical markets.
5.1. Techniques based on related markets
These techniques elicit the preferences of individuals for non-tradable goods and services
from the decisions that they take in the market on other goods and services that have some
kind of relationship (of substitutability or complementarity) with those non-tradable goods
and services.
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ures From this idea we conclude that this group of techniques can only monetarily quantify
those impacts resulting from a project on the use that individuals make of non-tradable
goods and services.
Within this group we can distinguish three types of methods or procedures: averting
behaviour method, the travel cost method and the hedonic price method.
5.1.1. Averting behaviour method
This method is based on the idea that individuals can compensate changes in the quantity or
quality of non-tradable goods or services through changes in the quantity or quality of
tradable goods and services, thereby maintaining their welfare or utility unchanged.
Following this idea, and assuming perfect substitutability and other additional hypotheses
(Maler 1974), the WTP of the individual for a marginal change in the quantity or quality of
the non-tradable goods or services affected by a project can be expressed as the marginal
change in the spending on the private goods or services.
Examples of this type of behaviour can be found on the expenses that households make to
better insulate their homes against external noise when there are increases in noise levels, or
expenses in buying bottled water, filtering tools and/or constructing private wells to offset
declines in the quality of supplied water.
Despite its conceptual attractiveness, this method presents a number of drawbacks. Firstly,
this procedure does not apply to non-marginal changes. The benefit of a non-marginal
change in the non-tradable good or service q is monetarily quantified according to this
procedure as the reduction in spending in the private good z that makes the individual retain
its level of utility. However, since they have more resources because of the improvement in
q, individuals will increase their consumption of goods and services, including in the good
z. Thus, the reduction in the spending in good z will be less than necessary to keep the
utility level constant and therefore we will underestimate the benefit of the change in q.
Secondly, this method assumes that individuals rapidly adjust to the change in q, when
really some time may be needed. Finally, an averting behaviour may not fully compensate
for a decline in q or lead to other benefits.
5.1.2. Travel cost method (TCM)
This method is based on analysing the relationship of complementarity between a non-
tradable good or service (in this case recreational, cultural, historical or scenic goods that
require a displacement of the individual for their enjoyment) and a private good (the travel).
This relationship of complementarity implies that the use of the non-marketed good (e.g.,
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uresvisiting a natural landscape) requires the use of a private good (the trip), thus being able to
indirectly capture the preferences of individuals for the use of that non-tradable good or
service.
The idea behind this method is that the costs that people incur to visit a site can be
interpreted in some cases as a "price" for accessing this site and, therefore, can be used to
estimate the WTP of individuals for services provided by the site.
The TCM allows both the economic value of sites and the economic value of specific
characteristics, or changes in quality, of sites to be estimated.
5.1.2.1. Estimation of the economic value of recreational services of a site
For the first objective, the two most common variants of TCM are the zonal or aggregate
and the individual (Bateman 1993). The zonal TCM is to establish a relationship through a
regression between the rates of visits to a site from different geographical areas of origin
(usually expressed as number of visits per 1,000 inhabitants in the area for a period of time)
and the cost which is incurred by travelling from each zone of origin to the site in question.
The estimation of this function involves the implicit assumption that individuals living in
different areas have identical preferences regarding the site, so if they face the same
transport costs they would make the same number of visits. The individual TCM is
conceptually similar to the zonal one; but the relationship between number of visits (per
unit of time) and the cost of travel is set at the individual level. When calculating these
expressions, we may also include other explanatory variables (at the individual level in the
individual TCM and at the aggregate level in the zonal TCM) that could influence the
number of visits.
From these models of trip generation it is possible to get an approximation2 of the net
welfare derived from individuals visiting the site. To do so, we simply need to calculate the
areas below these functions.
In the case of the zonal variant, the area under the function between the cost of visits for a
zone and the cost for which the visitation rate is zero provides an approximation to the net
welfare for the individual of that zone derived from all his visits made to the site in the
period considered. For example, assuming a linear function relating to visitation rates (V/N)
with travel costs (C), this area would be represented for the zone 3 by the triangle C*AB in
Figure 1. This area reflects the difference between what the visits cost to the individual and
what they would be willing to pay as a maximum for them, making it a benefit for the
2 The values obtained are an approximation of the concept of economic value contained in Section 2 (Creel and Loomis 1991).
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ures consumer. It would be the welfare that the individual would lose in case he cannot visit the
site. This amount is then divided by the average visits of that zone 3 and multiplied by the
total number of visits from that area to approximate the net welfare of all visits from zone
3. Proceeding similarly for all areas and summing the values obtained gives an
approximation of the net welfare derived from all visits in the period under examination.
Figure 1: Zonal MCV
Similarly, in the case of individual TCM we would calculate the area under the function
and the travel costs incurred by the individual to obtain a monetary approximation of the
net welfare that the individual gains from the trips made to the site. Several authors have
derived expressions that allow calculating the net welfare for different specifications of the
functional form (see, for example, Bockstael and Strand 1987). For example, in the case of
a linear function V = a + bC, the estimated value of the net welfare of the individual would
be 2
0( ( ))
2
V C
b , where C0 is the cost of travel for the individual. To obtain the net welfare
derived from all site visits over a period of time we should add for all visitors.
So far, monetary estimates of the welfare obtained with the individual and zonal TCM
correspond to the complete recreational experience. That is, the individual welfare derived
from travelling and the time on the site. To obtain the net welfare derived exclusively from
the stay at the site we need to calculate what would happen to the rate of visits or the
number of visits to the site with the establishment of different prices for entry to the site.
For this purpose we use the assumption that visitors react to increases in prices in the same
way they react to increases in travel costs according to the travel function previously
estimated. The result is a demand curve for the site which provides site visits according to
C*
A
C
V/N
Zone 1
Zone 5
Zone 3
Zone 4
Zone 2
B
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uresdifferent entry prices. The area under this curve provides an approximation to net consumer
welfare derived from the experience in the site.
However, there are authors who have chosen different procedures to distinguish how much
of the welfare derived from the trip is attributable to the stay on the site. For example, one
option is to ask individuals directly how much of their enjoyment is assigned to the stay on
the site and to travel. This information can be used to adjust the travel costs or be
introduced directly as a variable in the function of travel.
From the above it follows that the application of individual and zonal TCM is not without
difficulties. These include, for example: calculating travel costs (and especially the
monetary quantification of the cost of time spent moving), the inclusion in the analysis of
alternative sites, the distribution of costs of travel when the individual visits more than one
site, or how to analyse together individuals performing visits to the site of varying
durations.
5.1.2.2. Estimation of the economic value of changes in the characteristics of a site
When the main objective is the economic valuation of changes in the characteristics of a
site, rather than leisure services provided by the site as a whole, the most widely used
approach of the TCM is based on random utility models (RUM). This variant (Haab and
McConnell 2002, Bockstael and McConnell 2007) is also most appropriate when there are
sites that may be considered as substitutes for the site that is intended to value.
This approach analyses the individual's choice of whether or not to make a trip and, if the
individual decides to make it, his decision on which site to visit. It is a probabilistic
approach that considers the probability that an individual visits a site depending on the
utility (welfare) he gets from visiting that site, which is also dependent on the costs of
travel and the characteristics of the site. The analysis of the RUM on which this approach is
based will be discussed in more detail in Section 5.2.2.
5.1.3. The hedonic price method (HPM)
The hedonic price theory was initially formulated by Rosen (1974), based on an alternative
to the neoclassical theory of consumer raised by Lancaster (1966), whereby a class of
differentiated products can be fully described on the basis of a series of objectively
measurable characteristics. Thus, goods and services are defined by a number of attributes
and characteristics, so that their prices reflect these differences.
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ures The hedonic model is frequently applied to various markets such as real estate, but it is also
possible to extend its use to others such as the labour or car markets, where the good has
significant features that influence the market price.
In the case of, say, a car, there is a basic model to which a number of features can be added.
Each option of features will involve an additional different payment, so it is easy to discern
what the price paid for each attribute is. However, when goods and services have a
dimension not captured by the market, it is difficult to determine the non-tradable attribute
price itself, as it is inserted into the total price. In this case, the observed prices, together
with the levels of various attributes, tradable and non-tradable, contained in each good or
service can help to obtain a measure of implicit value that consumers place on each
attribute that forms the good or service, including non-market attributes.
This approach is similar to the TCM explained above, since both are based on a
complementary relationship between a tradable good or service and another non-tradable.
However, there are differences in that the HPM operates through changes in prices of
private goods rather than through changes in their quantities (number of trips) as the TCM
does. In the HPM the private good or service is not acquired to enjoy the non-tradable one,
but this is a feature of the former.
The equilibrium relationship between the price of the good P and its characteristics vector Z
is called hedonic price function.3
( )P h Z
The partial derivative of this function with respect to any good (e.g. Zi,) gives its marginal
implicit price i
hZ , that is, the additional expenditure required to achieve a marginal change
in the feature. In a competitive market, this marginal implicit price will equal the
individual’s WTP for the marginal change in that feature (Freeman 1993).
Since not all individuals have the same preferences for Zi, the next step is to estimate a
function that explains how the marginal WTP varies with the level of the feature Zi, the
socioeconomic characteristics of individuals, and any other variables that might affect
preferences. From this function it is possible, under certain assumptions, to approximate the
economic value for an individual of non-marginal changes in the level of the feature Zi, by
simply calculating the area under this function, the horizontal axis and the two vertical lines
passing through the initial and final values of Zi. However, it should be noted that, given
3 To estimate the hedonic price function we can adopt various functional forms (Taylor 2003).
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uresthe existent difficulties, most empirical studies do not perform this second stage (Pearce
and Turner 1990).
The HPM has several problems. On the one hand, from a theoretical point of view, its
validity rests largely on the assumptions of perfect information, perfect mobility of
consumers, and existence of equilibrium in the considered market. These assumptions are
rarely true in reality. On the other hand, from a practical perspective, the problems that may
arise are also numerous. For example, the omission in the hedonic price function of some
relevant variables may lead to biased estimates of the coefficients of the other variables
included, or the variables included in the analysis may present multi-collinearity problems
(Hanley and Splash 1993).
5.2. Techniques based on hypothetical markets
This Section deals with the group of techniques that elicit consumer preferences, and thus
their WTP or WTA, through hypothetical markets created by surveys. Thus, unlike
techniques based on related markets, the estimates are not derived from the observed
behaviour of individuals, but they are inferred from what would be their behaviour
according to their answers in a survey.
Since they are not based on an observed behaviour, and therefore linked to the use of the
good or service you want to value, these are the only techniques capable of capturing, in
addition to use values, the non-use values, i.e., the values that individuals assign to a good
or service even if they are not users. For example, an individual may express WTP for the
preservation of an animal species threatened with extinction despite not having any
intention of going to see it in its habitat.
Initially, these methods seem extremely simple; just to ask individuals questions that serve
to establish their WTP or WTA by a hypothetical change, and to assume that they will
answer exactly what they were asked. The problem arises precisely from this last
assumption, arguing that hypothetical questions tend to produce hypothetical answers.
Therefore, in this group of techniques the design of the survey is of great importance. Since
the questionnaire is the support that allows individuals' preferences about the evaluated
change to be elicited, we must design it so that people perceive the questions as real issues,
minimising as much as possible the existence of bias and strategic behaviour on the part of
respondents (Mitchell and Carson 1989). Usually the design of a good questionnaire
requires much time, being necessary to perform tests on small groups and small samples of
the general population before achieving a final version.
The questionnaire is usually structured in three parts:
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ures a. The first part aims to introduce to the surveyed individual the good or service that
is intended to be assessed, and make them think about their preferences.
b. The central part is devoted to the valuation. In this part we must present to the
respondent in a clear and concise manner the choice he is going to make,
describing all those aspects that may affect his decision. Finally, the valuation
questions aimed to get his WTP or WTA by the proposed change are included.
c. Finally, the third part includes questions designed to obtain information about the
characteristics or attitudes of the respondents. The values obtained in the valuation
questions may be put in relation to these data to check its consistency. Moreover,
these questions can also be used to extrapolate the valuation results obtained from
the survey respondents to the population.
Methods based on hypothetical markets can be classified into two groups: the contingent
valuation method (CVM), with its various forms, and multi-attribute methods (Hanley et al.
2001). Both represent two different approaches of the valuation process. The first focuses
on the holistic nature of the goods or services to be assessed, while the latter pays more
attention to the attributes that define them. This different conception of the valuation
process is manifested mainly in the format of the questions of valuation and the type of data
collected.
5.2.1. Contingent valuation method (CVM)
In contingent valuation exercises individuals are offered a given change in exchange for a
certain amount of money, and the process of exchange that the individual makes between
the two is analysed.
The format of the valuation questions is very varied (Mitchell and Carson 1989). Perhaps
the most direct one, called open format, is to ask individuals directly their WTP or WTA
for the analysed change. These responses can be analysed by calculating the arithmetic
mean or simply estimating regression models that explain the stated WTP or WTA as a
function of other variables (e.g. socioeconomic). The main disadvantage of this approach is
that it places individuals in an unusual position. In reality, individuals have to decide
between a set of goods and services with well-defined prices. They rarely face situations
where they are asked to make an offer that can be accepted or rejected by the seller. As a
result, surveys using this format provide higher rates of non-response and high proportions
of implausible extreme values (high or low), and thus high variance in the valuations.
In the single-bounded referendum format, a subsample of individuals is asked if they would
make a payment for the provision of a public good, varying the amount of such payment
among the various subsamples. Thus, the possible answers are normally restricted to closed
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urescategories “yes”, “no”, or “do not know/no answer”. From these responses it can be
obtained either by parametric techniques (typically logit or probit), semi-parametric or non-
parametric, an estimate of the probability function of the responses of individuals, from
which is possible to calculate the mean or median of the variable maximum WTP of
individuals as a measure of change in welfare. 4
The single-bounded referendum format has as advantages its simplicity and that it
resembles the kind of choices faced by individual in actual markets: the choice to accept or
not accept the provision of a good at a given price. Moreover, it is often considered that
with this format we obtain fewer “protest” and “don’t know” responses, and less dispersed
values than with the open format (Mitchell and Carson 1989). As Carson and Grove (2007)
point out, the single-bounded referendum format can be interpreted by individuals as a
referendum and therefore can be considered compatible with the incentive. This concept
refers to the theoretical property of this preference elicitation format that no individual can
improve, in any combination, acting strategically and reporting a value different from the
real value. All other elicitation formats do not possess this property, although this does not
necessarily mean that individuals realise they are responding to a format that is not
compatible with the incentive, and take advantage of it intentionally by providing answers
that are not those that correspond to their real preferences.
From these two basic formats (open and single-bounded referendum) we can derive other
formats that are just variations or combinations of both, seeking to extract more information
from the individual.
Thus, in the double-bounded referendum format the respondent is asked whether he would
pay a certain amount of money to acquire the good. If his answer is yes, then he is
prompted for an amount higher (lower, if answered no). Thus, regardless of the non-
answers, four types of answers can be obtained: yes–yes, no–no, yes–no, no–yes. The
problem with this approach is that the responses to the second payment may be influenced
by the proposed payment in the first question (called starting point bias). Moreover, as
DeShazo (2000) points out, the responses received to the first payment can sometimes be
inconsistent with the responses to the second.
The bidding game format continues this process up to a change from yes to no (or no to
yes). In this format the individual is asked if they would pay a certain amount for the good
or service in question. If the answer is affirmative, the question is repeated using a higher
price until the answer becomes negative. The highest price with an affirmative response is
interpreted as the maximum WTP. To obtain the minimum WTP, the same iterative process
would occur in reverse. As in the previous case, an objection frequently made to this type
4 The analysis of this type of answers is based on the RUM (see Hanemann and Kanninen 1999).
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ures of format is the influence that the initial bid could have on the individuals’ valuations, as
this initial bid can be taken by respondents as a "shortcut" to get their decision and not to
reveal the true value. Another disadvantage is that, although the open questions can be
made by mail or in person, this type of question can only be made face-to-face or by
computer. However, the responses provided by this format often have a low deviation
around the mean in relation to the open format, as well as a smaller number of non-
responses.
Another format, sometimes used, is the mixed-format, which consists of making two
consecutive questions: the first closed and the second open. That is, there is a starting "hint"
that is responded with an acceptance or rejection of the suggested bid, and then we ask for
the maximum WTP. This format shares some problems with the bidding game format
because the bid is given as a reference which can influence the responses, and it also shares
some advantages of the referendum format over the open format.
5.2.2. Models based on multi‐attribute choices
In this group of techniques, individuals have to express their preferences on sets of
alternatives defined by attributes that vary at different levels.
The attributes that define the alternatives in this group of techniques are motivated by the
aim of the study. The researcher has to include as attributes the most important elements
that may be considered by individuals as they make their decisions in the area studied
(Alpert 1971). It is precisely the changes in the values of these attributes which are intended
to be valued by these techniques. It is therefore necessary that one of these attributes
represents a monetary payment. The number of attributes and levels cannot be too high to
ensure the respondents to not have too much difficulty in assimilating the information
provided. Successive pre-tests and pilots are required to design the survey to verify that the
population considers that included attributes and their levels are relevant and easily
understood.
Once the attributes and the levels are selected, they are combined to obtain the different
alternatives. The simplest method is called full factorial design, which is to generate all
possible alternatives from the levels of the attributes considered. Subsequently, these
obtained alternatives are randomly grouped into choice sets, verifying that in the choice sets
that do not coincide alternatives that may be better or worse in all attributes compared to
the other alternatives of the choice set. This type of design allows estimations of both the
main effects and the interactions. A main effect is the direct effect of an attribute
considered individually. In a main effects model, the effect of an attribute would be the
same regardless of the other attributes. The interactions involve two or more attributes. In a
model with interactions, the effect of an attribute is different for different levels of another
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uresattribute. With a full factorial design, all main effects, all interactions of second order and
higher order can be estimated and are uncorrelated.
The disadvantage of a full factorial design is that such designs are only applicable to small
designs that use either a low number of attributes, or levels, or both, which is not the case
for most applications. The reason is that, except in those cases, the number of alternatives
generated by the full factorial design is very high and, therefore, the monetary cost and the
risk of fatigue of individuals to respond to the survey is also high. For example, if we
consider a design with five four-level attributes, we will obtain (45) 1,024 different
alternatives.
This problem is solved using fractional factorial designs. These designs imply the selection
through a specific procedure of a particular sample or set of the full factorial design
alternatives, so that the intended effects can be estimated by the most efficient way
possible. The downside is that all these designs generally involve some loss of information,
assuming that the effects of interactions between two or more attributes are zero or
insignificant.
Once the choice sets have been developed, one or more of these sets of alternatives are
presented to individuals to express their preferences. The kind of choice task individuals
have to perform on the set of alternatives presented depends on the specific elicitation
method employed. The most common are the contingent choice (Louviere et al. 2000) and
the contingent ranking (Chapman and Staelin 1982, Hausman and Ruud 1987, Ben-Akiva
et al. 1991, Foster and Mourato 2002).
In a choice experiment, the individual must choose his most preferred alternative from a
choice set, which must include an alternative representing the current situation or status
quo. This format of choice is easy to answer for individuals since it reminds them, to some
extent, of the kind of tasks they must perform in real markets. However, from a researcher’s
point of view, this variant is the one that provides less information for each individual and
choice set. In an exercise of contingent ranking, individuals have to rank all alternatives
included in the choice set according to their preferences. This format provides more
information than choice experiments, but it raises doubts about the ability of individuals to
provide reliable answers when the number of alternatives included in the choice set is high,
when individuals have similar preferences on several alternatives, or when we include in
the choice set alternatives that individuals would never choose or do not know properly
(Louviere et al. 2000). For these reasons, some authors do not recommend the use of all the
information derived from a complete ranking of the individual of all alternatives included in
the choice set (Chapman and Staelin 1982, Ben-Akiva et al. 1991, Louviere et al. 2000).
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ures The analysis of the responses provided by individuals in both cases is based on the RUM. It
is assumed that individuals receive a utility from each alternative and they select those
alternatives that provide greater utility. The utility Uni derived by an individual n from an
alternative i is divided into a deterministic component Vni, which captures the influence of
the levels of the attributes present in that alternative, and a random component ni . This
stochastic component contains all those factors that are unobservable or unknown to the
researcher. For example, assuming that the deterministic component takes a linear form, we
obtain:
'nj n nj njU x ,
where njx is a vector containing the levels of attributes for alternative j presented to
individual n, and βi is a vector of parameters that represent the contribution of each
attribute to the utility perceived by the individual. The objective is to estimate these
parameters of the utility function.
According to the assumptions to be made on the distributions of these stochastic
components and their relationship to the random components of the other alternatives
included in the choice set, the applied model for estimating the parameters of the utility
function will change (Louviere et al. 2000). For example, if one assumes that the random
components are independent and identically distributed according to an extreme value type
I distribution, it is obtained in the choice experiment a multinomial logit model and, in the
contingent ranking, an ordered logit model.
Once the parameters have been estimated, it is also possible to estimate the WTP of
individuals to marginal changes in the levels of attributes. We only have to estimate the
trade-off in the utility function between the attribute of interest and the payment attribute.
For example, in the case discussed above of a linear utility function, the WTP for a
marginal change of an attribute is the negative of the ratio between the coefficient for that
attribute in the utility function and the coefficient for the payment attribute.
In the event that we want to value non-marginal changes of one or more attributes
simultaneously, a simplified approach is to assume that the estimated marginal values are
constant for all units and attributes, and aggregate those values in a linear fashion (Hanley
et al. 1998). More correct and formal procedures can be found in Hanemann (1982).
6. CONCLUDING REMARKS
The economic valuation methods play a key role in the cost-benefit analysis since they
allow the direct introduction into the analysis of those impacts caused by a project and not
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urescaptured by the market. However, the application of these techniques makes it necessary to
resort to various assumptions and simplifications. Therefore, the resulting monetary
estimates of the impacts must not be taken as an exact value, and we have to be cautious at
the time of using these estimates in the study.
This greater caution may be accomplished, for example, by providing confidence intervals
or probability distributions of the estimates obtained. Thus, it would be possible to perform
a sensitivity analysis of the influence of these estimates in the decision on the suitability of
undertaking a project. Another option would be to calculate what should be the economic
value of these impacts so that the net present value or another indicator of the suitability of
a project was null, and then compare this value with the estimates of these impacts obtained
by techniques of economic valuation.
In (Brey 2010) there are collected quantifications in monetary terms, obtained in various
studies, of non-market impacts associated with transportation projects. As discussed above,
these estimates should not be understood as unitary monetary values that can be directly
translated to any study, but merely as an illustration of the importance that such impacts can
achieve.
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uresREFERENCES
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