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Using Flexible Scenarios in Benefit Estimation: An Application to the Cluster Rule and the Pulp and Paper Industry Susan B. Kask a Todd L. Cherry b,c Jason F. Shogren c 18 October 2000 a corresponding author; Economics, Finance, and International Business Department, Western Carolina University, Cullowhee, NC 28723; [email protected]; 704-227-3301 b Department of Economics, Appalachian State University, Boone, NC 28608-2051 c Department of Economics and Finance,University of Wyoming, Laramie, WY 82071-3985 Acknowledgments: Appreciation is extended to the summer grants program at Western Carolina University for partial funding of this research. Thanks to Joe Kerkvliet and Bengt Kriström for help on the Dichotomous choice model, Elizabeth Barnhart at the Center for Disease Control for assistance with the survey information sheet and for general comments on this paper. The authors accept sole responsibility for all remaining errors in this work.

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Page 1: Using Flexible Scenarios in Benefit Estimation: An Application to …cherrytl/papers/pulp_fiction.pdf · 2001-04-13 · Using Flexible Scenarios in Benefit Estimation: An Application

Using Flexible Scenarios in Benefit Estimation: An Application to the Cluster Rule

and the Pulp and Paper Industry

Susan B. Kaska Todd L. Cherryb,c Jason F. Shogrenc

18 October 2000 acorresponding author; Economics, Finance, and International Business Department, Western Carolina University, Cullowhee, NC 28723; [email protected]; 704-227-3301 bDepartment of Economics, Appalachian State University, Boone, NC 28608-2051 cDepartment of Economics and Finance,University of Wyoming, Laramie, WY 82071-3985 Acknowledgments: Appreciation is extended to the summer grants program at Western Carolina University for partial funding of this research. Thanks to Joe Kerkvliet and Bengt Kriström for help on the Dichotomous choice model, Elizabeth Barnhart at the Center for Disease Control for assistance with the survey information sheet and for general comments on this paper. The authors accept sole responsibility for all remaining errors in this work.

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1. Introduction

Cellulose is the fiber found in wood used to produce paper. The cellulose, however, must

be separated from the lignin—the substance that holds the wood together. Separating the usable

cellulose from the glue-like lignin involves three energy and chemically intensive processes.

The first stage breaks down the wood into pulp by chemical, semi-chemical and mechanical

processes with the resulting pulp containing lignin and the chemicals used in the pulping. The

second stage rinses the pulp through a series of screens at high temperatures to remove the lignin

and chemicals. This rinsing process generates hazardous gases and liquid effluent as waste

byproducts. In the final stage, the pulp is rinsed again and bleached using chlorine, chlorine-

dioxide, or totally free chlorine techniques. The final stage may be repeated several times,

generating hazardous air emissions and enormous amounts of wastewater. The wastewater

resulting from chlorine bleaching processes contains lignin and a host of hazardous chemicals—

including dioxin. Even piping the wastewater to municipal treatment facilities does not prevent

the eventual deposit of dioxin and other hazardous chemicals in nearby surface waters. The

health risks associated with living among dioxins include both (i) the risk of mortality from

various types of skin and organ cancer and (ii) the increased risk of many non-life threatening

diseases from a reduction in immune response from exposure (Schmidt, 1992). Given the

consequences of the waste byproduct, it is amazing that the final stage generating dioxin is solely

for aesthetic reasons—to whiten the paper.

The significant levels of air and water pollutants make the Pulp and Paper Industry a

target of public concern and regulators. In 1997, the Environmental Protection Agency (EPA)

embarked on a new approach to regulate the industry—an integrated rule that coordinates federal

efforts under both the Clean Water Act and Clean Air Act. The so-called Cluster Rule sets water

1

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and air standards while allowing individual mills to select the best combination of pollution

control and prevention technologies to achieve pollution reductions. The Cluster Rule applied to

155 of the 565 pulp and paper mills in the United States and was estimated to require capital

expenditures of $1.8 billion and increase annual operating costs by $277 million. The EPA

suggests the changes imposed by the Cluster rule will virtually eliminate dioxins and

significantly reduce the other toxic pollutants that pulp and paper mills discharge in the air and

waterways during bleaching processes. With the specific benefits, the end result of the Cluster

Rule should be a reduction in health risks for the millions of families who live near pulp and

paper mills.

What is the value of the risk reduction from the Cluster Rule? And how does it compare

to the $1.8 billion regulatory cost? While the estimates of regulatory costs are relatively

straightforward, it is often difficult to get a hold on the dollar estimates of the regulatory

benefits—especially a complex good such as the low health risks associated with the long-term,

low-dosage exposure to hazardous chemicals. Complex goods are particularly concerning when

estimating benefits with contingent valuation (CV) methods because the success of a study

depends on the definition of the good in that a poorly defined good can bias benefit estimation

through so-called scope or embedding problems1 (NOAA 1993, Hanemann 1994, Randall and

Hoehn, 1996). Evidence further indicate that willingness to pay (WTP) estimates are sensitive to

the scenarios presented (e.g. Shogren 1990, Loomis and duVain 1993, Hoevenagal and van der

Linden 1993). Estimating benefits from complex environmental goods, such as the risk

1The scope problem occurs when there is no observed variation in values between high quantities of the good and low quantities of the good. For example, when respondents appear to value 100 birds the same as 1000 birds. The embedding problem occurs when respondents appear to value a different character set of the good than that presented in the researcher defined scenario. For example they value the environment as a whole instead of a single lake. These two problems are similar, thus in this paper we are specifically referring to the scope problem when the quantity of the good is not clearly defined and we refer to the embedding problem when the character of the good is

2

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reduction associated with the Cluster Rule, exacerbate these problems due to the difficulties in

scenario definition.

This paper proposes an alternative approach to scenario definition—flexible scenarios—

that allows respondents to define the good they value. This flex-scenario approach tries to

reduce the problems of embedding and scope by providing more clarity on the sensitivity of

WTP estimates to the various components of an environmental good or service.

Studies using a variety of valuation methods have explored how varying degrees of

flexibility in the scenario definition affect benefit estimation. Adamowicz et al. (1997) found

that stated preference models using perceptions of site attributes slightly out performed those

based on objective data. Alberini et al. (1997) estimate WTP to avoid an illness episode whose

attributes are defined by the respondent. Blamey et al. (1999) show flexibility in the valuation

question, which they call a dissonance-minimizing format, reduces the occurrence of yea-saying.

Finally, Fries and Gable (1997) present a commodity definition survey for improving the

definition of goods given in stated preference studies. But no studies to our knowledge have

implemented a fully flexible scenario that allows respondents to define the good based upon their

perceptions.

We use a flexible scenario defined by the respondent rather than by a researcher to

explore the potential to avoid problems associated with respondent modification of goods in the

CV framework. A flexible scenario implies that respondent perceptions are used for all aspects

of the scenario definition. Therefore, respondents state their perceptions about scenario

variables which include: the perceived character set of the good, the perceived initial starting

level of the good, the preferred policy approach for changing the good, and the perceived level of

not clearly defined.

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change of the good. We apply this approach using three of four scenario variables to estimate

the benefits of risk reduction from long-term exposure to the hazard posed by the pulp and paper

industry. This approach is particularly applicable to the health risks associated with dioxin

because of the high potential for respondent modification that arises from the complex nature of

the good.

2. Risk Perception and Willingness to Pay

Following Ehrlich and Becker (1972) and Shogren (1990), consider a simple model in

which consumers maximize expected indirect utility over two states of the world. States 0 and 1

represent poor and good health. The probability of poor health depends on the strategies selected

to directly reduce the probability of health problems given exposure, R, and those selected to

indirectly reduce probability by reducing exposure, Q, to the hazardous chemical, Z, as shown in

expression (1).

p = p(R, Q(Z); p0) (1)

Given this subjective probability, the consumer maximizes indirect utility

E(V) = p(R, Q(Z); p0)V0(Y- R - Z) + (1 - p(R, Q(Z); p0)V1(Y - R - Z), (2)

where Y is consumer income. Selection of R and Z depend on the consumer’s perception of the

effectiveness of these approaches to reduce risks to health, pR and pQQZ, and their perceived

baseline probability, p0. Assuming an interior solution, the decision rules for selecting the risk

reduction mechanism (hereafter RRM) selection are:

R: -pR(V1 - V0) = pVx0 + (1 - p)Vx

1 (3)

Z: -pQQZ(V1 - V0) = pVx0 + (1 - p)Vx

1 (4)

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Consumers maximize expected indirect utility so the marginal benefit of risk reduction equals

the marginal cost, the loss of expected utility from less net wealth. Equations (5) and (6) show

that willingness to pay for self protection and self insurance also depend on consumer

perceptions of risk and risk reduction.

( ) ( )( )

WTP dYp V V pV p V

pV p VdRR

R X

Y Y

= =− − − −

+ −

1 0 0 1

0 1

1

1X (5)

( ) ( )( )

WTP dYp Q V V pV p V

pV p VdZZ

Q Z X X

Y Y

= =− − − −

+ −

1 0 0 1

0 1

1

1 (6)

Consumers often make decisions in the marketplace regarding uncertain events, such as

the purchase of insurance for their home, health, car, or the purchase of goods that they believe

will reduce a particular risk such as bottled water, air conditioners, sunscreen, vitamins, etc. In

these cases consumers make choices based on their transformation of the actual risks they face.

Their decisions are based on their perception of risk and their perception of the efficiency of

different risk reduction mechanisms. Although objective risk information may be given,

consumers have their own preferences and values, and their final decisions are based on their

perceptions of their risks and risk reduction. This perception may or may not correspond with

the objective risk information. The potential for significant variation between objective risks and

subjective risks has been discussed in the economics and psychological literature (e.g.,

Lichtenstein et al. 1978, Viscusi and Magat 1987, Kunreuther et al. 1978, Kask and Maani 1992,

Smith and Johnson 1988, Fischoff 1975)

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When valuing complex environmental goods, as in health risks from long term low-

dosage exposure to hazardous chemicals from pulp and paper production, the potential for

respondent modification of the good is exacerbated since people have difficulty transforming

low risks accurately. As a result, risk perceptions can over or underestimate risks (e.g.

Lichtenstein et al. 1978, Kunreuther et al. 1978). Furthermore, the human health risks from

long-term low dosage exposure to many hazardous chemicals are not fully understood, thus

clarity in good definition becomes a problem. As such, even though people may be given

information on baseline risks (p0) and risk reduction (pR and pQQZ) from an environmental

hazard and regulatory approach, they may perceive a different level of risk and a different level

of potential risk reduction. When values are elicited, people may value their change in

subjective risk rather than the objective level defined in the scenario, creating a scope problem in

the values derived.

The scope and embedding problems occur when a person modifies the general

characteristics of the good targeted by regulation or the change in the good that is expected from

regulation. For example, people might perceive a risk reduction of say 20% from a policy rather

than the 5% defined by the researchers. As a result they provide a value for a 20% change rather

than the 5% that was given in the survey instrument. The embedding problem occurs as a result

of the variation between a respondent’s perception of, and the researcher’s definition of, the

good’s attribute set. In this case, rather than a person having a different perception of the change

in the quantity of the good, instead he or she perceives a different type of good impacted by the

policy change. For example, although a researcher may define the impact of policy as occurring

on a single component of the environment, such as a unique stream or lake, a person may

consider the impact much broader including the soil, air, flora and fauna. The reverse can also

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occur. As a result people provide a value for the broader good rather than the more narrowly

researcher-defined risk.

If consumer perception of a researcher-defined risk in a CV instrument varies from what

the researcher had intended, CV estimates can be biased upward or downward depending on the

direction of variation between respondent perception and the researcher-defined good (e.g. the

scope or embedding problems). If CV design uses flexible scenarios, e.g., respondents define p0,

select R or Z and define pR, or pQQZ, and people honestly express their perceptions, the

estimation of benefits for non-market goods may be improved. Specifically, the problems of the

scope and embedding may be mitigated. Furthermore, flexible scenarios can address the

potential for policy specific WTP estimates by allowing people to select their preferred policy

approach. Finally, to determine if people can define goods in a meaningful way, we look for

expected behaviors—explainable and consistent perceptions and choices.

3. Case Study: The Pulp and Paper Industry

3.1 Risk Reduction from the Cluster Rule

Three characteristics of long-term, low dosage exposure to dioxins discharged by pulp

and paper mills increase the potential for respondent modification of the good, reduction in

health risks, when estimating benefits. These include the complex package of health problems

ranging from mild illness to death from cancer, the low baseline risk level of these health effects

causing variation between actual and perceived risks, and the limited scientific knowledge

preventing certain definition of the good.

The potential health risks from dioxin exposure are numerous, including both acute and

long-term morbidity and mortality effects, which are not easily untangled. However, if we

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untangle the good, such as looking at mortality or specific symptoms as opposed to a package,

then results may suffer from an embedding effect (Kahneman and Knetsch 1992, Randall and

Hoehn 1996, Viscusi, Magat, and Huber 1987). Dickie and Gerking (1991) suggest people

might do better valuing bundled health problems when independent risk reduction options do not

exist for each health problem.

The potential health effects from dioxin may not occur for many years after a long period

of exposure to low dosages, thus the lifetime health risks are expected to be small. Research

finds that people often overestimate risks from low risk hazards, (see Lichtenstein et al. 1978,

Viscusi and Magat 1987) or underestimate risks when objective risk levels are below some

threshold (Kunreuther et al. 1978). Thus benefit estimates for these health risks may be

considered upper or lower bounds, depending on the risk behavior expected or observed (Kask

and Maani 1992). This transformation between actual and perceived risks promotes the scope

problem, given people likely have different perceptions regarding the baseline risk level, and

thus perceive the significance of a change in risk differently.

The flexible scenario allows us to take several precautions to reduce the potential for

embedding and scope in this study. First, we use individual perceptions of the good valued

including perceptions of the baseline risk, and their perceptions of the level of risk change.

Further, we allow people to choose their preferred policy approach. This flexibility in scenario

definition reduces the potential for respondent modification of a researcher-defined good. This

study, however, continues to define the illness character set of the health effects using a split

sample. People only define the baseline risk component of this character set. The split sample

reduces the potential impact of sequencing on value estimates while allowing the potential for

embedding to occur.

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3.2 Study Site

The sample was taken from an area in western North Carolina and eastern Tennessee that

hosts a pulp and paper mill along the Pigeon River. This area provided a unique opportunity to

examine the potential for a respondent-defined good given the long history of the mill and the

likely awareness and knowledge of the area population. Due to the local pulp and paper

production, dioxin is a primary contaminant in the Pigeon River (USEPA 1989a,b). The mill’s

90 year presence and various EPA hearings and activities have informed the region’s population

about the pollution over time. As such, we have a base information set greater than zero, but

certainly less than full information, therefore priors exist in the population. The survey design

elicited both prior and posterior risk perceptions.

3.3 Study and Survey Design

We use a block design to elicit the economic values of a reduction in lifetime risk of

health problems from dioxin in the environment. Table 1 shows the three-block design used for

the study.2 Blocks A and B test for variation between mortality and morbidity bids, and block C

and A, and C and B test the variation between these bids and the combined value.

The survey contained three parts: the introduction with background questions, the risk

reduction mechanism and valuation questions, and the demographic questions.3 The background

questions established the initial pre-information perceptions of a respondent toward risk related

factors including awareness, information levels, exposure, concern, existence of dioxin related

health problems, chances, control, seriousness of health problems, and their prior subjective

2 A fourth block was included that used an alternative causal agent, PCB, with mortality risk, however, this data is not included in this study. 3 The survey and information set were tested using four focus groups with residents of Canton NC, Sylva NC, Cullowhee NC and Newport TN. Focus group participants were self-selected from invitations sent to civic groups in each location. A total of 40 persons participated.

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probabilities. The probability question asked “What do you think your household’s chance is in

one million of having health problems from dioxin in any given year?” The question was

adjusted for the various design blocks and was tested by four focus groups to ensure clarity and

ability to respond.

In part 2, people were given information on dioxin. The information was presented in a

format that addressed five fundamental questions. What is it? Where does it come from? How

can I be exposed? What are the health problems? What is the risk? The information provided

in the survey was reviewed by scientists at the Center for Disease Control in Atlanta to ensure

accuracy, and reviewed in four focus groups to ensure clarity, readability, and understanding.

The information section was adjusted for the different design blocks; for example the mortality

survey only provided information on the cancer risks from dioxins. Following the information,

respondents were asked if they wanted to change their initial probability, and if so, to give their

new estimate. The survey reminded respondents that although actual risks are unknown, policy

makers must make decisions regarding risks for the general public.

People were then asked to make a policy choice by selecting a risk reduction mechanism,

to estimate their perceived risk reduction from their policy choice, and finally, state their WTP to

implement that policy. The selection of the risk reduction mechanism followed a modified

decision pathways survey approach (Gregory et al. 1997). Four risk reduction pathways were

offered (private protection, private insurance, collective protection, and collective insurance),4

each with a description of what actions may be taken and the possible payment vehicles. Three

objectives were provided to frame the choice process: effectiveness, expense, and

4 ‘Insurance’ refers to policy options that reduce health risks after exposure and ‘protection’ refers to policy options that reduce the risk of exposure to the environmental hazard. ‘Private’ actions are those taken by the respondent and ‘collective’ actions are those proved by local, state or federal government.

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implementation. People ranked the four options using each objective to assist them in their

selection of their most preferred choice. Finally, they ranked the four options based on their own

and their household’s preferences. Given their most preferred choice, they revealed their

perception of the percentage risk reduction their preferred option would bring.

To increase a respondent's cognitive capacity to answer an open-ended question, the

valuation question was presented as a series of three dichotomous choice questions with a

subsequent open-ended maximum valuation question. This approach takes advantage of the

increased cognitive capacity of the dichotomous choice structure, while at the same time

maximizing the statistical information from the open-ended question (Hanemann and Kanninen,

1998). Zero bidders were asked their reasons for a zero bid. Demographic questions concluded

the survey. In addition to the standard demographic questions, specific questions related to

factors that might potentially influence dioxin risk reduction values were included such as type

of employment (e.g. pulp and paper or chemical industries), veteran status (Vietnam), and

outdoor and/or environmental hobbies.

Mail surveys were sent to a randomly selected sample of 2000 households from seven

counties in western North Carolina and five counties in eastern Tennessee. A modified Dillman

method was used with four sequential mailings: survey-postcard-survey-postcard (Dillman

1978). A three week period separated the two survey mailings.

3.4 The Sample

We treat this as an exploratory survey given our overall response rate of seventeen

percent. A comparison of the two respondent groups (first mailing and second mailing) suggests

we did broaden the sample with respect to the level of interest (an environmental/outdoor hobby

question) and level of information with the second mailing; thus pooling the two groups provides

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a sample for exploratory analysis on the potential to use a flexible scenario with the CV

approach.

Although the demographics between the two groups are similar and they are similar size

(group 1: n=154, group 2: n=158), the level of interest variable which elicited hobby information

from the respondents in the two groups was significantly different. Note 68% of the first group

had hobbies in either environmental or outdoor recreation activities; the second group had only

14% of respondents with activities in these areas. This difference was significant at the 99%

level. Further differences between the groups may explain the initial non-response of the second

group to the survey. The second group has a lower general information level about the hazardous

chemicals with significantly more responding as ‘not at all informed’. Moreover, more of this

group responded with ‘don't know’ to questions on information about or experience with

exposure levels, household control, and the existence of health problems or cancer.

Although somewhat different, the groups had their similarities. The groups responded in

a similar fashion to questions regarding their awareness of the toxin in their area, concern of

exposure, chances of health problems occurring, and seriousness of the problems. This may

explain the lack of significant difference in the mean maximum willingness to pay values for

each group.

We restricted the sample by removing zero protest bids and inconsistent willingness to

pay responses5 (13.88% and 5% percent of the full sample). Item non-responses (15.77%)

remained in the clean sample as they are automatically dropped during the analysis process.

5 Inconsistency was determined by a comparison of the respondent’s WTP value for their most preferred policy approach and their least preferred approach.

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Valid zeros (7.57% of the full sample) also remained in the sample. Zero protests comprised 64

percent of all zero responses in the full sample. The final sample included 194 observations6.

Table 2 gives the demographics for the sample as compared to the region and nation.

The sample is slightly older and has slightly higher income levels. Observations in the sample

are evenly distributed across the study categories and bid sets. Demographics for the sample are

similar across the risk types except for the number of Vietnam veterans (99% significant

difference) and the number of respondents who were married (98% significant difference).

However a t-test shows there is no significant difference in WTP responses between vets and

other respondents and between married and unmarried respondents. Therefore this sampling

variation across risk types should not affect the results.

4. Results

4.1 Respondent Definition of the ‘Good’

Risk Perception—An important issue is the ability of people to evaluate the complex

package of health problems and define the good they are valuing in a meaningful way. From

Table 3 we see that people have differentiated between risk types when determining their

baseline risk. Evidence from the mean baseline risk estimates for mortality, morbidity and the

combined risk shows respondents did evaluate the risks differently, with mortality at 1.04

percent (10443 persons per 1,000,000) being significantly lower than morbidity at 5.5 percent

(54800 persons per 1,000,000). Interestingly, the combined value of 6 percent is very close to

the sum of the mortality and morbidity values. These results suggest people can differentiate

between types of complex goods and they are able to define an attribute of the good such as the

6 This excludes the PCB sample data.

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current level of the good—the baseline risk, p0, in this case. Findings also suggest people

considered the character set defined by the researcher and not some alternative set defined by

themselves when evaluating baseline risk. Embedding does not seem to be an issue.

Table 4 shows an OLS regression with baseline risk measured in percent terms as the

dependent variable. We see several variables are significant and have the expected signs.

Respondents gave lower baseline risks if they were given a mortality survey (cancer), had higher

incomes, believed they had private control over their risk levels, considered themselves

informed, or stated they did not believe there was a chance of health risks. Alternatively, if

respondents had children, or were aware of dioxins in their area, they stated higher baseline

risks. These variables were significant at the 89% level or higher. A respondent’s age, the

amount of time they have lived in the area, and gender did not influence their baseline risks.

Interestingly, we find no difference between perceived baseline risks for the morbidity and the

combined respondents. If we consider variables at the 80 percent significance level as borderline

variables then we find that those respondents with higher education, who believed they had not

been exposed, or who did not know what their chances of health problems might be, all had

lower baseline risks. Those who believe community control was possible had higher baseline

risks. This model only explains 7.5 percent of the variation in baseline risk levels and thus there

remains much we do not know about respondent risk perceptions.

The results are consistent with expectations of risk behavior. For example, mortality

risks are lower than morbidity risks and factors such as control, awareness, and information

significantly influence risks as expected. As such, the data suggest that respondents are able to

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evaluate the risks in a meaningful way, and thus are able to define this component of the

complex good for the flexible scenario.

Choice of Risk Reduction Mechanism (RRM)—Table 5 shows that people demonstrate

clear preferences for reduction mechanisms. Across all samples, people avoided the collective

insurance7 approach with only 6-9% of respondents selecting this option. Conversely, people

generally preferred the collective protection approach to all others with 40-43% of respondents

selecting this option. But in the mortality sample, private approaches were slightly more

preferred to collective approaches with only 46% selecting collective action.

Table 6 presents the results from multinomial logit and Binomial probit analyses of

respondent policy choices. Three models are estimated to examine the respondent’s choice

among the alternative risk reduction mechanism—private-insurance, private-protection,

collective-insurance, and collective-protection. Model 1 employs a multinomial logit approach

to explain the four policy choices with the characteristics of those policy choices as defined by

the respondent. These characteristics include an effectiveness rank, a cost rank, and an

implementation rank. Aggregating within the categories of risk reduction mechanisms, model 2

and 3 use a binomial probit approach to examine the choice between private and collective

policies and the choice between risk reduction from exposure (protection) or health problems

(insurance).

Results from model 1 illustrate the respondent’s ability to make meaningful policy

choices. The estimated coefficients are as expected with positive coefficients on the

effectiveness and the implementation rankings and a negative coefficient on the cost ranking.

Findings therefore indicate people are making rational choices—they are more likely to choose

7 ‘Insurance’ refers to policy options that reduce health risks after exposure and ‘protection’ refers to policy options

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the policy option they consider more effective, more easily implemented, and less costly. The

results from models 2 and 3 are descriptive models revealing information about who is selecting

the different RRM options. The results illustrate a preference for collective action by higher

educated people and by those who consider the health problems serious. These attributes,

however, do not affect the choice for insurance versus protection. If we consider that a

respondent’s underlying WTP may influence their policy choice, we find persons with a higher

maximum WTP are more likely to select private action, but less likely to select insurance.

The results from Tables 5 and 6 suggest that respondents can indicate clear preferences

among policy options with the choices systematically arising from personal attributes and

beliefs.

Perceived Risk Reduction—The perceived risk reduction from the individual’s preferred

risk reduction mechanism provides further insight into respondent behavior. Returning to Table

5 we see that the mean values for risk reduction across each risk type are not significantly

different, nor are the minimum and maximum values. This finding illustrates that respondents

possess substantial variation in their perceptions of potential risk reduction. Although people

appear to differentiate between risk types regarding baseline risk and they have clear preferences

for a RRM, their perceptions for risk reduction (ultimately the good they are buying) are similar

across the mortality, morbidity and combined samples and are similar across policy options. The

mean percent reduction across risk reduction options range from 33 percent to 63 percent.

However, none of these means are significantly different due to the broad range of values given

and the high standard deviations. Given the subjective nature of this perception, there is no

theoretical basis for determining the consistency or predictability of these levels.

that reduce the risk of exposure to the environmental hazard.

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The broad range of risk reduction levels and the lack of variation across risk types and

policy options suggests that people have widely varying perceptions of the effectiveness of risk

reduction mechanisms, and this variation is consistent across reduction mechanisms. For this

sample, no policy approach is generally perceived as providing more risk reduction than another

approach on average, and respondents do not consider risk reduction more likely to occur for one

type of risk over another (e.g., mortality, morbidity or the combine risks).

This result suggests this variable has the greatest potential for uncontrolled respondent

modification. If respondent’s perceptions are so disparate, as these results suggest they may be,

the potential that respondents value a different good than the one specified by researchers is not

trivial, e.g., the scope effect may be significant. As shown in our WTP equation below, stated

values depend on their perceived level of risk reduction specified, as expected. The implication

is that if a respondent’s perception of a specified policy reduction actually can range between 0-

100% and they value their own private perception rather than the objective risk, then analysis of

data using alternative researcher-defined scenarios in a block structure could show a scope

problem, even when respondent preferences are sensitive to scope. Thus, a solution to the scope

problem may be the use of a flexible scenario rather than a block structure.

We conclude from the above analysis that respondents defined the good in a meaningful

way. They revealed consistent and predictable baseline risks while indicating clear and

consistent preferences for the policy choice. The analysis also highlighted a potential important

source for respondent modification of a good and the scope problem, the wide variation in the

perceived risk reduction.

4.2 Willingness to Pay for Risk Reduction

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People’s WTP was elicited using a one way up dichotomous choice format followed by an

open ended question. Following Herriges and Shogren (1997), the one-way up format entails

each respondent indicating whether they are willing to pay an initial bid. If the answer was yes,

a higher bid was offered. If the answer to the second bid was yes, an even higher bid was

offered. The final open-ended maximum WTP question was asked the third bid, or if any answer

was negative.8 Our analysis of willingness to pay estimates several models including an

Ordinary Least Squares model (OLS) with the maximum willingness to pay value taken from the

final open-ended question, and several logit models using the first dichotomous choice question.

The WTP Models—The OLS model estimates the natural log of willingness to pay as a

function of several independent variables including a set of risk variables, demographic

variables, and control variables. The policy choice variables are also included with the

assumption of independence between the policy choice and WTP. Table 7 provides the

descriptive statistics and Table 8 shows the results using a pooled sample.9

The estimated model provides some intuitively appealing results for income and risk

reduction—people demonstrate diminishing marginal utility in risk reduction and they were

willing to pay more as income increases. Both variables are significant at the 99 percent level.

The result for the age variable, a proxy for current health, is also as expected with older persons

willing to pay more, but at a decreasing rate.

The baseline risk result is consistent with expectations with increasing baseline leading to

an increase in WTP. Note responsiveness to baseline risk depends on the type of risk (mortality,

8 There were 5 sets of bids: Set 1-$5, $25, $250; Set 2 - $10, $50, $500; Set 3 - $25, $100, $1000; Set 4 - $50, $250, $2000; Set 5 - $75, $400, $2500. 9 If we expect respondents to respond in a similar fashion when given a mortality, morbidity, or combined survey, a pooled sample is appropriate. Using a chow test with the OLS results we reject the null hypothesis of similar samples at the 1 percent significance level (Gujarati, 1988). However, due to the small sample size of each of the split samples, we use a pooled model with interactive binary variables to capture the sample differences.

18

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morbidity, or combined), or whether a family has children. For the type of risk, the negative

coefficient reflects respondents’ lower stated baseline risks for mortality risk and their generally

higher WTP values relative to the rest of the sample. For children, the negative coefficient

reflects the generally higher reported baseline risks and the lower WTP values relative to the rest

of the sample.

Other demographic results suggest men are willing to pay less while the number of

children in the household is insignificant10. Finally, the bid set variable is insignificant—

indicating that no single bid set dominated the results. The adjusted R2 of 42 percent is

significant at the 1 percent level.

The insignificance of the morbidity and mortality control variables may reflect the

importance of the risk reduction variable in determining WTP, or it may suggest embedding may

exist in the sample population. Although respondents differentiated between risk types in their

evaluation of the risk, they did not differentiate by willingness to pay. These results may be due

to respondents failing to differentiate between their perceptions for risk reduction across the risk

types, or due to an embedding effect, or both.

The combined survey results may arise from the presentation of the combined health

problems. Throughout the survey respondents are asked about their knowledge, awareness,

preferences and values for health problems from dioxin. Only the information sheet that

discusses health issues presents people with the combination of cancer and health problems. On

this sheet, cancer is presented first in the list of health problems. In the mortality survey,

respondents are asked about their awareness, knowledge, preference and values for cancer from

dioxin. This result therefore may be exacerbated by survey design. However, given the

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differences found in baseline risk across the samples, it appears respondents did differentiate

between the different risk types when evaluating their baseline risk levels despite the survey

design. Why not in WTP values? The answer may arise from the lack of difference in

respondents’ expectations of potential risk reduction across the risk types and that they are

focusing on this level of risk reduction instead of risk type.

Table 9 presents four additional value functions derived using logit analysis and the first

dichotomous choice WTP question. All the models are significant at the 99% level and provide

the expected results with positive and significant coefficients on income and diminishing

marginal utility in risk reduction. In these models, contrary to the OLS results, the baseline risk

and the policy options are insignificant, likely due to the models’ simplicity. Given the sample

size, more complex models could not be explored with any degree of confidence.

Table 10 shows the WTP estimates to decrease the lifetime risk of health problems by

10% and by 50%. These estimates are calculated using mean values for the right hand side

variables. Variation between the dichotomous choice and open-ended models are commonly

seen in the literature and is found in this sample.

Risk Reduction Mechanism and WTP—A significant benefit of the flexible scenario is to

examine the variation in WTP relative to the choice of RRM. Using the pooled sample, we

compare the sample mean WTP values between respondents who selected insurance or

protection actions and collective or private actions. We find respondents selecting insurance

have a mean WTP of $405, while those selecting protection have a substantially lower mean

WTP of $163.64. These are significantly different at between 10 and 20 percent level with a t

10 This model pools respondents with children with those that have no children. In a split sample analysis the number of children remains insignificant, but is positive.

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value11 of -1.589. Respondents choosing private (household) action for risk reduction have a

mean WTP of $327.50 compared to the much lower $144.61 mean WTP for those selecting

collective action, which are significantly different at the 10 percent level. The OLS results also

provide evidence of variation of WTP across RRM choice with a positive and significant

coefficient on the insurance variable, but there is no difference found between private and

collective action. The logit models found an insignificant influence of RRM on WTP when all

four choices are considered (Model 5 in Table 9). Although these results are far from definitive

on how policy choice affects WTP values, allowing respondents to select their RRM may reduce

the potential for protests and ambivalence often found in CV studies (also see Blamey, et al.

1999, and Ready et al., 1995).

V. Summary and Conclusions

Herein we explore the use of flexible scenarios in CV studies by estimating the benefits

of regulation on the pulp and paper industry. Estimates suggest that the aggregate willingness to

pay of the approximately one million people affected by the Cluster Rule may not exceed the

total regulatory costs. But inferring any conclusion from this small sample pilot study is clearly

dubious. Results, however, do provide clear evidence for our primary purpose—exploring the

role of flexible scenarios in benefits estimation.

11 Approximate t values are estimated since we expect the samples to have unequal variances. The following formulas were used for estimating the t-value and degrees of freedom.

t x xsn

sn

=− − −

+

( ) (1 2 1 2

12

1

22

2

)µ µ df

sn

sn

sn

n

sn

n

=+

−+

12

1

22

2

2

12

1

2

1

22

2

21 1

21

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Results indicate that people were able to define the complex good in question—the

reduction of low health risks associated with long term low dosage exposure to hazardous

chemicals emitted by pulp and paper mills. And further, the definition significantly impacted

WTP. In defining the ‘good’ in a meaningful way, people differentiated between risk types in

their determination of perceived baseline risks. They also have clear and predictable preferences

for their risk reduction mechanism. We find, however, that people did not distinguish between

baseline risks, or RRM, with respect to their perception of risk reduction. This latter finding is

key, as it may be an underlying cause of the scope problem.

In observing the impact on WTP, we find the perceived level of risk reduction

significantly influenced valuation, but respondents failed to distinguish between these risk types

(morbidity, mortality, etc) when determining willingness to pay. This is despite the fact that they

do differentiate between risk types when stating risk perceptions. The finding may result from

the dominance of their perceptions of risk reduction in the choice process, which was not

dependent on risk type or reduction mechanism selected, and/or may be an embedding effect.

Our results are inconclusive regarding the relationship between WTP and RRM.

The implications of this study on CV survey design are threefold. First, the apparent

ability of respondents to differentiate between risk types when stating baseline risk perceptions,

their ability to make policy choices and to state consistent WTP values based on their scenario

definitions is promising for future valuation studies. Our study shows that respondents can

handle the complexity of the flexible scenario CV. Furthermore, a recent paper by Blamey et al.

(1999) suggests respondents may also prefer more complexity in the options given in CV studies.

Second, the broad range of perceived risk reduction estimates stated by respondents in

this study suggest that the potential for respondent modification of researcher defined scenarios

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may be significant and thus may be a cause of the scope problem often cited in CV studies.

However, it is important to note that increased flexibility that allows respondents to define the

character set of a good may also be needed to address the embedding problem often observed

between a single good and a package. Third, does the policy choice matter? While the results

suggest the level of change may be the primary critical variable in the scenario definition, further

research to address the robustness of this result is needed. Finally, this study suggests that the

gains from flexibility in scenario design may be worth the costs of difficulty for survey

respondents and that further research on using flexible survey scenarios is warranted.

23

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Bibliography

Adamowicz W., J. Swait, P. Boxall, J. Louviere, and M. Williams. 1997. “Perceptions versus Objective Measures of Environmental Quality in Combined Revealed and Stated Preference Models of Environmental Valuation.” Journal of Environmental Economics and Management 32(1), pg. 65-84.

Alberini, A., M. Cropper, T. Fu, A. Krupnick, J. Liu, D. Shaw, and W Harrington. 1997.

“Valuing Health Effects of Air Pollution in Developing Countries: The Case of Taiwan.” Journal of Environmental Economics and Management 34(2), pg. 107-126.

Arrow, K. R. Solow, E Leamer, P. Portney, R. Radner, and H Schuman. 1993. Report of the

NOAA Panel on Contingent Valuation. Federal Register 58 (10). January 15, 1993. Blamey, R. K., J. W. Bennett, and M.D. Morrison. 1995. “Yea-Saying in Contingent Valuation

Surveys.” Land Economics 75(1), pg. 126-141. Cameron, T.A. 1988. “A New Paradigm for Valuing Non-market Goods Using Referendum

Data: Maximum Likelihood Estimation by Censored Logistic Regression.” Journal of Environmental Economics and Management 15, pg. 355-379.

Dickie, M. and S. Gerking. 1991. “Valuing Reduced Morbidity: A Household Production

Approach.” Southern Economic Journal 57(3), pg. 690-702. Dillman, D. A. 1978. Mail and telephone Surveys: The Total Design Method. John Wiley and

Sons, New York. Ehrlich, I., and G. Becker. 1972. “Market Insurance, Self-Protection, and Self-Insurance.”

Journal of Political Economy 80, pg.623-648. Fischoff, B. 1975. “ Hindsight ≠ Foresight: The Effect of Outcome Knowledge on Judgment

Under Uncertainty.” Journal of Experimental Psychology: Human Perception and Performance 1(3), pg. 288-299.

Fries, E. E. and A. R. Gable. 1997. “Defining Commodities in Stated-Preference experiments:

Some Suggestions.” AERE Newsletter 17(1), pg. 14-18. May 1997. Gregory, R, J. Flynn, S. M. Johnson, T.A. Satterfield, P. Slovic, and R. Wagner. 1997.

“Decision-Pathway Surveys: A Tool for Resource Managers.” Land Economics 73(2), pg. 240-254.

Gujarati, D. N. 1988. Basic Econometrics. New York: McGraw-Hill. Haab, T. C. and R. L. Hicks. 1997. “Accounting for Choice Set Endogeneity in random Utility

Models of Recreation Demand.” Journal Of Environmental Economics and Management 34(2), pg. 127-147.

24

Page 26: Using Flexible Scenarios in Benefit Estimation: An Application to …cherrytl/papers/pulp_fiction.pdf · 2001-04-13 · Using Flexible Scenarios in Benefit Estimation: An Application

Hanemann, W. M. 1994. “Valuing the Environment through Contingent Valuation.” The

Journal of Economic Perspectives 8(4), pg. 19-43. Hanemann, W. M., and B. Kanninen. 1998. The Statistical Analysis of Discrete-Response CV

Data. Working paper No. 798. Ddepartment of Agricultural and Resource Economics and Policy, Division of Agricultural and Natural Resources, University of California, Berkeley. California Agricultural Experiment Station. December 1998.

Herriges, J. and J. Shogren 1997. “Starting Point Bias in….” Journal of Environmental

Economics and Management Hoevenagel, R. and J. W. van der Linden. 1993. “Effects of different Descriptions of the

Ecological Good on Willingness to Pay Values.” Ecological Economics 7(3), pg. 223-238.

Johansson, P.O. 1995. Evaluating Health Risks: An Economic Approach. Cambridge:

Cambridge University Press. Kahneman, D. and J. L. Knetsch. 1992. “Valuing Public Goods: The Purchase of Moral

Satisfaction.” Journal of Environmental Economics and Management 22(?), pg. 57-70. Kask, S.B. and S. Maani. 1992. “Uncertainty, Information, and Hedonic Pricing.” Land

Economics 68(2), pg. 170-184. Kunreuther, H., R. Ginsberg, L. Miller, S. Phillip, P. Slovic, B. Borkan, and N. Katz. 1978.

Disaster Insurance Protection: Public Policy Lessons. John Wiley and Sons. New York.

Lichtenstein, S., P. Slovic, B. Fischoff, M. Laymen, and B. Combs. 1978. “Judged Frequency of

Lethal Events.” Journal of Experimental Psychology: Human Learning and Memory 4(6), pg. 551-578.

Loomis, J. B. and P. H. duVain. 1993. “Evaluation the effect of Alternative Risk

Communication devices on Willingness to pay: Results from a dichotomous Choice Contingent Valuation Experiment.” Land Economics 69(3), pg. 287-298.

Randall, A. and J. P. Hoehn. 1996. “Embedding in Market Demand Systems.” Journal of

Environmental Economics and Management 30(3), pg. 369-380. Ready, R.C., J.C. Whithead, and G.C. Blomquist. 1995. “Contingent Valuation When

Respondents Are Ambivalent.” Journal of Environmental Economics and Management 29, pg. 181-196.

Shogren, J.F. 1990. “The Impact of Self-Protection and Self-Insurance on Individual Response

to Risk.” Journal of Risk and Uncertainty 3(2), pg 191-204.

25

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Smith, V. K. and F. R. Johnson. 1988. “How do Risk Perceptions Respond to Information? The

Case of Radon.” Review of Economics and Statistics 70(Feb.), pg. 1-8. U.S. Environmental Protection agency (USEPA) Region IV, Fact Sheet: Application for

National Pollution Discharge Elimination System permit to discharge treated waste water to U.S. waters, Appl NC0000272, July 1989a.

USEPA Region IV, Fact Sheet amendment based on comments received July 12, 1985- August

25, 1989, Sept. 1989b. Viscusi, W.K., and W.A.. Magat. 1987. Learning About Risk: Consumer And Worker

Responses To Hazard Information. Cambridge: Harvard University Press, 1987. Viscusi, W.K., W.A. Magat, and J. Huber. 1987. “An investigation of the rationality of

consumer valuations of multiple health risks.” RAND Journal of Economics 18(4).

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Table 1: Survey Categories Mortality Morbidity Combined Dioxin A B C

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Table 2: Demographics of Final Sample, Region and Nation Demographic characteristic

Sample n=194

Region

Sampled

Nation

Median Education

13

12

12

Age Distribution (% pop>65)

21

15.7

12.56

Median Age 50* 36.7 32.9

Mean Household income 34470 30,524 29,943 Gender Distribution %M/%F

55/45

48/52

49/51

*Mean age for sample. Note sample minimum age is 18, as required by law.

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Table 3: Mean Baseline Risk by Risk Types

Mortality N=63

Morbidity n=69

Combined n=60

Posterior Baseline Risk #/1,000,000 % %min/max

10443 1.04 0/50

54800 5.5% 0/84

60261

6% 0/100

29

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Table 4: OLS Results for Posterior Baseline Risk Model Variables Coefficient

Constant .19277** (2.28)

Age .00053 (.61)

Kids .057* (1.58)

Male .026 (.97)

Time -.0006 (-1.17)

Income .0136*** (-2.35)

Education (yrs) -.0069* (-1.50)

Community Control .044* (1.49)

Private Control -.054** (-2.22)

Aware .076** (2.02)

Exposed (No) -.025* (-1.36)

Informed -.049* (-1.57)

No chance -.044** (-1.87)

Don’t know chance -.043* (-1.32)

Morbidity -.0057 (-.169)

Mortality -.065** (-2.21)

Adj-R2 .075

F(df) ????**

N 144 t-statistics are in parentheses ***, ** and * indicate significance at 10, 5 and 1 percent

30

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Table 5: Preferred Risk Reduction Option and Percent Risk Reduction by Risk Types

Mortality

n=63 Morbidity

n=69 Combined

n=60 Private Protection+ (%risk reduction*)

27

(49)

26

(52)

27

(54) Private Insurance+ (%risk reduction*)

27

(58)

12

(39)

17

(53) Collective Protection+ (%risk reduction*)

40

(57)

53

(63)

48

(59) Collective Insurance+ (%risk reduction*)

6

(38)

9

(44)

8

(33) All Collective Action+

46

62

56

All Insurance Action+

33

21

25

Risk Reduction* (min/max)

54.5 0/95

55

5/100

54.9 0/95

+ percent selected as most preferred *mean values

31

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Table 6: Multinomial Logit and Binomial Probit Results for Risk Reduction Mechanism Choice Variable Model 1a Model 2b Model 3c

Constant Na 2.589* (2.883)

.294 (.351)

Effectiveness Rank 1.699*** (7.64)

na na

Cost Rank -.626*** (-3.48)

na na

Implementation Rank .323*** (2.09)

na na

A-Private Protection -.359 (-.59)

na na

A-Private Insurance .030 (.05)

na na

A-Collective Protection

.90** (1.74)

na na

% Reduction na -.0312* (-1.485)

-.0177 (-.866)

% Reduction^2 na .0002 (1.256)

.0003* (1.33)

Serious na -.0992*** (-2.711)

.0174 (.476)

Maximum WTP na .0003** (1.868)

-.0004*** -2.385

Age na .0033 (.51)

-.0007 (-.105)

Male na .0696 (.336)

-.3806** (-1.765)

Education na -.997*** (-2.34)

.0381 (.888)

Chi-Square (df) 168.18 (3) 26.76 (8) 14.82(8)

N 126 177 177 a four choices: private protection, private insurance, collective protection, or collective insurance. b two choices: private or collective—private=1 c two choices: protection of insurance—protection=1 t-statistics are reported in parentheses *, ** and *** indicate significance at 10, 5 and 1 percent

32

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Table 7: Descriptive Statistics for Selected Variables Variable Mean Median

Maximum WTP ($) 215 100

Baseline risk (%) 0.042 0.00

Risk Reduction (%) 55 55

Collective =1 .55

Insurance =1 .26

Incomea 3.65 3

Male =1 .56

Age (years) 49.9 48

Number of Children .71

Morbidity=1 .36

Mortality=1 .33 a 3 = $20,000 - $29,000 4 = $30,000 - $39,000

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Table 8: OLS Results of lnWTP Model for Full Sample Variable Model 1

Constant -1.00 (-.92)

Risk Variables:

Baseline Risk 1.75** (1.84)

Baseline risk * Mortality -195.4*** (-3.24)

Baseline risk * Kids -1.81** (-1.69)

Risk Reduction .14*** (5.16)

Risk Reduction Squared -.0012*** (-4.88)

Collective Action -.03 (.10)

Insurance Action 1.27*** (3.15)

Insurance*Kids -1.46** (-1.85)

Exposed .62* (1.35)

Exposed * Morbidity -1.27** (-1.99)

Exposed * Mortality*Kids 2.06** (2.21)

Complete Control .03*** (-40.23)

Complete Control * Morbidity -3.63*** (-5.41)

Partial Control .51 (.84)

Partial Control * Mortality (3.47) -3.25***

Partial Control*Mortality*Kids (-3.35) 2.71***

Demographic Variables:

Income .21*** (3.43)

Male -.94*** (-3.48)

Age .06* (1.41)

Age Squared -.0008** (-1.79)

Number of Children -.14 (-.99)

Control Variables:

Bid Set .07 (.73)

Morbidity .49* (1.53)

Mortality .12 (.34)

F statistic 4.56 Adj R-squared .42 N 120

t-statistics are in parentheses *, ** and *** indicate significance at 10, 5 and 1 percent

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Table 9: Dichotomous Choice Results using the first DC WTP Question

Variables Model 4a Model 5a Model 6a Model 7a

Constant -11.62 (-.411)

-14.03 (-.41)

18.61 (.61)

15.89 (.37)

Baseline risk -25.82 (-.60)

-33.59 (-.71)

-5.26 (-.13)

-8.18 (-.16)

Risk Reduction 3.88** (2.09)

4.09** (1.78)

3.66*** (2.99)

4.32** (1.80)

Risk Reduction^2 -.032*** (-2.57)

-.03** (-1.73)

-.03*** (-2.85)

-.36** (-1.77)

Income 6.72** (1.75)

7.74* (1.36)

Male -45.11*** (-2.72)

-56.32* (-1.92)

Morbidity -27.46** (-1.74)

-30.30 (-1.14)

Mortality -23.98* (-1.46)

-31.63 (-1.21)

Private Protection*bid -.24 (-.43) -.37

(-.61)

Private Insurance*bid .19 (.37) .65

(.96)

Collective Protection*bid .10

(.21) -.21 (-.37)

Chi-squared 26 27 43 43

Df 4 7 8 11

N 143 137 133 128

Prediction 84% 84% 87% 88% a Transformed value function coefficients using Cameron (1988). t-statistics are reported in parentheses *, ** and *** indicate significance at 10, 5 and 1 percent

35

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Table 10: WTP Estimates from OLS and Logit Value Functions a,b Mortality Morbidity Combined

OLS 23 26 19 10% risk reduction Logit 27 24 51

OLS 344 393 294 50% risk reduction Logit 97 93 121 a means calculated using the means values of independent variables b logit mean calculated using model 6 in table 9

36