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TECHNICAL ADDENDUM: METHODOLOGIES FOR THE BENEFIT ANALYSIS OF
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THE CLEAR SKIES INITIATIVE
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September 2002
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I. INTRODUCTION
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Background
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The Need for Multi-pollutant Legislation
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In the United States, power generation is responsible for 63% of
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sulfur dioxide (SO2), 22% of nitrogen oxides (NOx), and 37% of
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man-made mercury released to the environment. Once released, these
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pollutants together with their atmospheric transformation products
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(e.g. ozone and fine particles) can travel long distances before
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being deposited. Environmental and public health problems resulting
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from power generation emissions include:
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Cardiovascular and respiratory conditions associated with
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exposure to fine particles (PM) and ozone;
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Visibility impairment associated with regional
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haze;
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Acidification of surface waters and forest
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ecosystems;
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Ecosystem and public health effects associated with the
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accumulation of mercury in fish and other wildlife;
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Acidic damage to cultural monuments and other
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materials;
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Ozone damage to forested ecosystems; and
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Eutrophication in coastal areas.
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While the current Clean Air Act has played a role in
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significantly improving some of these issues, additional reductions
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in the emissions of SO2, NOx, and mercury are necessary to address
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persistent public health and environmental problems. Because of the
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regional and global scale of these pollutants, individual states or
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localities experiencing the environmental effects cannot always
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control them. In addition, current law tends to address each
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environmental problem independently, even if one pollutant
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contributes to several problems. To more effectively address the
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environmental problems caused by power generation, there is a need
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for a national program that would take advantage of synergies of
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controlling multiple pollutants at once.
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The Clear Skies Act
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On February 14, 2002, the President announced the Clear Skies
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Initiative, a proposal to reduce emissions from electric power
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generating sources. The proposal was embodied in legislative form
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as the Clear Skies Act, which was introduced in the House of
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Representatives as H.R.5266 and in the Senate as S.2815 in July
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2002. For the purpose of the analyses presented here, the central
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features examined in the Initiative are identical to those
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contained in the Act.
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The Clear Skies Act would reduce emissions of sulfur dioxide
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(SO2), nitrogen oxides (NOx), and mercury from fossil fuel-fired
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combustion units by approximately 70% from current levels.1 These
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mandatory emission reductions would be achieved through a cap and
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trade
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1 The Clear Skies Act would cut sulfur dioxide (SO2) emissions
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by 73 percent, from current emissions of 11 million tons to caps of
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4.5 million tons in 2010 and 3 million tons in 2018. It would cut
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emissions of nitrogen oxides (NOx) by 67 percent, from current
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emissions of 5 million tons
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program, modeled on the current Acid Rain Program for SO2.
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Federally enforceable emissions limits, or national caps, for each
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pollutant would be established. Sources would be allowed to
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transfer these authorized emission limits among themselves to
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achieve the required reductions for all three pollutants at the
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lowest overall cost. This proposal would alleviate many of the
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remaining environmental and health problems associated with power
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generation.
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This document reports the methods and results of an analysis of
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the environmental and health benefits of the Clear Skies Act. It
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presents quantitative estimates of the health improvements and
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monetary benefits that would be achieved by this proposal.
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Summary of the Benefits Analysis Methods and Results
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The Clear Skies Act would provide significant benefits to public
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health and the environment, whether expressed as health and
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environmental improvements or as monetized benefits. These include
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prolonging thousands of lives and reducing tens of thousands to
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millions of cases in other indicators of adverse health effects,
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such as work loss days, restricted activity days, and days with
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asthma attacks. Environmental benefits include significant
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increases in visibility and substantial improvements in chronically
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acidic conditions in lakes in the Northeastern US. Based on
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emissions reductions that would start well before 2010 and the
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expected increase in benefits between 2010 and 2020, the cumulative
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health benefits of the program across the next two decades would be
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significant. The key results of this analysis of the Clear Skies
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Act are summarized in Exhibit 1.
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Section II (Analytical Approach) discusses the analytic
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framework used in conducting this assessment, which includes
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scenario development, emissions modeling, air quality modeling,
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human health and visibility effects estimation, economic valuation,
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and adjustments for income growth and benefits aggregation.
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As depicted in Exhibit 1, we have used two approaches to provide
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benefits in health and environmental effects and in monetary terms.
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While there is a substantial difference in the specific estimates,
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both approaches show that the monetary benefits of the Clear Skies
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Act are well in excess of the estimated costs of $3.7 billion in
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2010 and $6.5 billion in 2020.2
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The first approach presented, the Base Estimate, is a
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peer-reviewed method developed for previous risk and benefit-cost
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assessments carried out by the Environmental Protection Agency. It
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is the method used in the regulatory assessments of the Heavy Duty
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Diesel and Tier II Rules and the Section 812 Report to Congress.
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Following the approach of these earlier assessments, along with the
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results of the Base Estimate, we present various sensitivity
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analyses on the Base Estimate that alter select subsets of
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variables; these sensitivity analyses yield results as much as 42
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percent lower to over 180 percent higher. By far, the largest
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component of these monetized benefits is related to premature
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mortality from long-term exposure to particulate matter ($41
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billion and $89 billion in 2010 and 2020, respectively), followed
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by chronic bronchitis ($1.5 billion and $3.2 billion in 2010 and
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2020, respectively).
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to caps of 2.1 million tons in 2008 and 1.7 million tons in
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2018. Mercury emissions would be reduced by 69 percent, from
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current emissions of 48 tons to caps of 26 tons in 2010 and 15 tons
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in 2018.
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Detailed information on the costs of Clear Skies can be found in
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the Clear Skies Act Analytical Support Package (2002).
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In order to provide some insight into the potential importance
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of the key elements underlying estimates of the benefits of
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reducing SOx and NOx emissions, we developed an Alternative
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Estimate using different choices of data, methods, and assumptions
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that are detailed in Section II (Analytical Approach). As indicated
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in Exhibit 1, the differences between the Alternative and Base
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Estimates are found in the estimation of the impact of fine
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particle reductions on premature mortality and the valuation of
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reducing the risk of premature mortality and the risk of chronic
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bronchitis. The Alternative Estimate of the impact of fine particle
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reductions on premature mortality relies on recent scientific
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studies finding an association between increased mortality and
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short-term (days to weeks) exposure to particulate matter, while
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the Base Estimate relies on a recent reanalysis of earlier studies
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that found associations between long-term exposure to fine
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particles and increased mortality. The Alternative approach also
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uses different data to value reductions in the risk of premature
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mortality and chronic bronchitis and makes adjustments relating to
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the health status and potential longevity of the populations most
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likely affected by PM. Even using the more conservative assumptions
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of this Alternative, the benefits of Clear Skies still outweigh the
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projected costs of the proposal.
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All such benefit estimates are subject to a number of
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assumptions and uncertainties, which are discussed in Section III
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(Major Uncertainties in the Benefits Analysis) of this report. For
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example key assumptions underlying the Base and Alternative
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Estimates for the mortality category include the following: (1)
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Inhalation of fine particles is causally associated with premature
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death at concentrations near those experienced by most Americans on
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a daily basis. While biological mechanisms for this effect have not
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yet been definitively established, the weight of the available
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epidemiological evidence supports an assumption of causality. (2)
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All fine particles, regardless of their chemical composition, are
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equally potent in causing premature mortality. This is an important
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assumption, because fine particles from power plant emissions are
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chemically different from directly emitted fine particles from both
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mobile sources and other industrial facilities, but no clear
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scientific grounds exist for supporting differential effects
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estimates by particle type. (3) The concentration-response function
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for fine particles is approximately linear within the range of
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ambient concentrations under consideration. Thus, the estimates
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include health benefits from reducing fine particles in areas with
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varied concentrations of particulate matter, including both regions
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that are in attainment with fine particle standard and those that
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do not meet the standard. (4) The forecasts for future emissions
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and associated air quality modeling are valid. Although recognizing
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the difficulties, assumptions and inherent uncertainties in the
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overall enterprise, these analyses are based on peer-reviewed
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scientific literature and up-to-date assessment tools, and we
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believe the results are highly useful in assessing this
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proposal.
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In addition to the quantified and monetized benefits summarized
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above, there are a number of additional categories are not
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currently amenable to quantification or valuation. These include:
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the health and environmental benefits of reducing mercury
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accumulation in fish and other wildlife; reduced acid and
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particulate deposition damage to cultural monuments and other
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materials; reduced ozone effects on forested ecosystems; and
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environmental benefits due to reductions of impacts of
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acidification in lakes and streams and eutrophication in coastal
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areas. Additionally, we have not quantified a number of known or
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suspected health effects linked with PM and ozone for which
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appropriate concentration-response functions are not available or
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which do not provide easily interpretable outcomes (i.e. changes in
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forced expiratory volume (FEV1)).
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As a result, both the Base and Alternative monetized benefits
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estimates underestimate the total benefits attributable to the
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Clear Skies Act.
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Exhibit 1 Summary of Results: The Estimated PM and Ozone-Related
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Benefits of the Clear Skies Act in 2010 and 20203
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* Results calculated using three percent discount rate as
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recommended by EPA's Guidelines for Economic Analysis (US EPA,
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2000a).
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** Results calculated using seven percent discount rate as
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recommended by OMB Circular A-94 (OMB, 1992).
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The two sets of estimates depicted in this table reflect
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alternative assumptions and analytical approaches regarding
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quantifying and evaluating the effects of airborne particles on
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public health. All estimates assume that particles are causally
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associated with health effects, and that all components have the
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same toxicity. Linear concentration-response relationships between
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PM and all health effects are assumed, indicating that reductions
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in PM have the same impact on health outcomes regardless of the
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absolute level of PM in a given location. The Base Estimate relies
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on estimates of the potential cumulative effect of long-term
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exposure to particles, while the Alternative Estimate presumes that
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PM effects are limited to those that accumulate over much shorter
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time periods. The Alternative Estimate also uses different
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approaches to value health effects damages. All such estimates are
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subject to a number of assumptions and uncertainties. It is of note
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that, based on recent preliminary findings from the Health Effects
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Institute, the magnitude of mortality from short-tern exposure
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(Alternative Estimate) and hospital/ER admissions estimates (both
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estimates) may be under or overestimated.
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II. ANALYTICAL APPROACH
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The framework for the Clear Skies Act benefits analysis is the
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same as that used in three recent state-of-the-art EPA regulatory
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analyses: the Section 812 Prospective Analysis (U.S. EPA, 1999a);
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the Tier II motor vehicle/gasoline sulfur rules Regulatory Impact
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Analysis (RIA) (U.S. EPA, 1999b); and the Heavy-Duty Engine/Diesel
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Fuel RIA (U.S. EPA, 2000b). The analysis uses the same health
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effect and valuation functions employed in the most recent of these
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analyses, the Heavy-Duty Engine/Diesel Fuel RIA. The analytical
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approach can be described as a sequence of six steps, summarized
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below and described in detail later in this report. These steps,
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listed in order of completion, are:
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1.
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Scenario development
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2.
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Emissions modeling
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3.
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Air qua lity modeling
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4.
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Human health and visibility effects estimation
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5.
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Economic valuation
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6.
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Adjustments for income growth and benefits
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aggregation
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Exhibit 2 outlines the analytical framework used to study the
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benefits of the Clear Skies Act. The first step in the benefits
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analysis is the specification of the regulatory scenarios that will
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be evaluated. Typically, an analysis will include a baseline
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scenario that simulates future conditions in the absence of the
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proposed regulation and one or more control scenarios that simulate
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conditions under the regulations being evaluated. The benefits of a
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proposed regulation are then estimated as the difference in benefit
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outcomes (e.g., adverse health effects) between the control and
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baseline scenarios. For this analysis, the baseline scenarios for
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2010 and 2020 assume no additional emissions control regulation
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beyond the continuing effects of Title IV of the Clean Air Act
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Amendments, the NOx SIP Call, and other promulgated federal rules
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issued under the Clean Air Act. For each year (2010 and 2020), our
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analysis evaluates a single control scenario, as described
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below.
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After scenario development, the second step of the benefits
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analysis is the estimation of the effect of the Clear Skies Act on
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emissions sources. We generated emissions estimates for the
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baseline by projecting changes in emissions under the baseline case
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for 2010 and 2020. We generated emissions estimates for the Clear
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Skies Act control scenario using the same set of economic activity
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projections as the baseline but with additional emissions controls
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consistent with the Clear Skies Act caps. Emissions inputs were
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derived from the 1996 NTI and the 1996 NEI. In addition, emissions
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inventories prepared for the Heavy-Duty Diesel Engine rulemaking
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were the basis for future year emissions projections. The
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Integrated Planning Model (IPM) was used to derive all future
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projections of electricity generation source emissions.
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After the emissions inventories are developed, they are
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translated into estimates of futureyear air quality conditions
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under each scenario. We employed two sophisticated computer models,
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the Regulatory Modeling System for Aerosols and Deposition (REMSAD)
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and the Comprehensive Air Quality Model with Extensions (CAMx) to
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estimate changes to the concentration of particulate matter and
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ozone, respectively, resulting from the Clear Skies Act. The REMSAD
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model was also used to estimate changes in visibility associated
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with those changes in particulate matter concentrations and to
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estimate changes in deposition of sulfur, nitrogen, and
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mercury.
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The air quality modeling results serve as inputs to a modeling
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system that translates air quality changes to changes in health
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outcomes (e.g., premature mortality, emergency room visits) through
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the use of concentration-response functions. Scientific literature
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on the health effects of air pollutants provides the source of
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these concentration-response functions. At this point, we derive
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estimates of the differences between the two scenarios in terms of
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incidences of a range of human health effects that are associated
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with exposure to ambient particulate matter and ozone.
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In the next step, we use economic valuation models or
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coefficients to estimate a dollar value for the reduced incidence
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of those adverse effects amenable to monetization. For example,
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analysis of estimates derived from the economic literature provides
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an estimate of the value of reductions in mortality risk. Finally,
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we adjust the benefit values for expected income growth through
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2010 and 2020 and aggregate the benefits to the appropriate
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geographic level.
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As noted in Section I (Introduction), we present Base and
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Alternative estimates for mortality and chronic bronchitis
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benefits. The different methodologies and assumptions for these
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approaches are discussed in separate subsections in the effects
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estimation and valuation sections below.
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Exhibit 2 Analytic Sequence for Multi-Emissions Reduction
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Proposal Benefits Analysis
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Baseline and Regulatory Scenario Development
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This analysis looks at the impacts of the multi-pollutant
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reductions that are part of the Clear Skies Act for two future
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target years, 2010 and 2020. Avoided health effects and visibility
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improvements are quantified by comparing two scenarios:
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(1)
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A baseline scenario (Base Case) that reflects the
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continuing effects of Title IV of the Clean Air Act Amendments (the
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Acid Rain Program) as well as other promulgated federal rules
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issued under Clean Air Act authority that are expected to affect
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Electric Generating Units (EGUs) and other sources of emissions
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(e.g. the NOx SIP call and the Tier II and Heavy Duty Diesel Rules
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for mobile sources).
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(2)
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A scenario that reflects full implementation of the Clear
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Skies Act in the target year.
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Emissions Profile Development
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Emissions Inventories
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Emission inventories were developed to support the benefits
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analysis fo r the Clear Skies Act. Emissions profiles were
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generated for the following cases: 1996 Base Year, 2010 Base Case,
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2010 Clear Skies, 2020 Base Case, and 2020 Clear Skies.
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These national inventories were prepared for all 50 States at
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the county level for mobile highway and non-road sources. They were
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prepared for the 48 contiguous states at the countylevel for
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electric generating unit (EGU), non-EGU point, and stationary area
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sources. The approach used to create inventories was the same as
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that used for the Heavy-Duty Engine (HDE) Rulemaking analysis (US
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EPA, 2000d) with modifications to reflect emission and modeling
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advances since that analysis.4
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Power generation emissions of SOx and NOx for each of the
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scenarios is presented in The Clear Skies Act: Technical Support
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Package. Exhibit 3 presents total national emissions of NOx and SO2
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from all sectors, including power.
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This approach was documented and can be located at
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http://www.epa.gov/otaq/hdmodels.htm.
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Exhibit 3 National SOx and NOx Emissions Projections for Base
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and Clear Skies Scenarios (million tons)
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The 1996 Base Year inventory was used to project future
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emissions under the Base Case and differences between the Base Case
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and the Clear Skies Act. It was constructed using existing
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emissions inventories created for various recent rulemaking
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activities. For criteria pollutants, the 1996 National Emissions
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Inventory (NEI) used for the Heavy Duty Diesel vehicle rulemaking
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was used. For mercury, the 1996 National Toxics Inventory was
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modified based on the 1999 information collection effort for coal
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utilities and the 2002 MACT implementation for medical waste
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incinerators, and the 2000 MACT implementation for municipal waste
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combustors was used.
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For the 2010 and 2020 Base Cases, emissions under current
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regulations with economic and population growth were projected. The
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electric utility portion was developed using the Integrated
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Planning Model (IPM). IPM projects power sector emissions under
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Title IV of the 1990 Clean Air Act Amendments (The Acid Rain
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Program), which caps SO2 emissions at 8.95 million tons/year
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beginning in 2010. In addition, IPM's projections for electric
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utilities under the Base Case include the NOX SIP Call with a cap
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on summertime NOX emissions in SIP Call states in 2004 (based on
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0.15 lb/mmBtu from 2001) and state-imposed NOX caps in Texas,
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Connecticut, and Missouri. This case also includes no controls on
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mercury emissions from power generation. The emissions inventory
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for the Base Case also includes Tier II and Heavy Duty Diesel Rules
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for mobile sources. The uncertainty about how these mobile source
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rules will be implemented in the future contributes to uncertainty
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in both the Base Case and the Clear Skies Act profile.
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The 2010 and 2020 Clear Skies Act profile includes a 4.5 million
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ton/year cap on EGUs beginning in 2010 for SO2 emissions, which
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will be lowered to a 3 million ton cap in 2018; a 2.1 million
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ton/yr cap beginning in 2008 for NOX emissions, which will be
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lowered to a 1.7 million ton cap in 2018; and a 26 ton/yr cap
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beginning in 2010 for mercury emissions, which will be lowered to a
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15 ton cap in 2018. Because sources can reduce emissions early,
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earn allowances for these actions, and use the allowances later,
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actual emissions are projected to be higher than the cap in the
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first years of each cap.
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The Integrated Planning Model (IPM)
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The Integrated Planning Model (IPM) predicts future emissions
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outputs from EGUs affected by the Clear Skies Act. These outputs
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are used to develop the emissions inventories.
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IPM is a linear programming model of the electricity sector that
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finds the most efficient
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(i.e. least cost) approach to operating the electric power
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system over a given time period subjectto specific constraints
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(e.g. pollution caps or transmission limitations). The model, which
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was developed for EPA by ICF Resources, Inc., selects investment
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strategies given the cost and performance characteristics of
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available options, forecasts of customer demand for electricity,
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and reliability criteria. System dispatch, which determines the
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proper and most efficient use of the existing and new resources
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available to utilities and their customers, is optimized given the
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resource mix, unit operating characteristics, and fuel and other
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costs. Unit and system operating constraints provide
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system-specific realism to the outputs of the model.
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The IPM is dynamic; it has the capability to use forecasts of
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future conditions, requirements, and option characteristics to make
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decisions for the present. This ability replicates, to the extent
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possible, the perspective of utility managers, regulatory
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personnel, and the public in reviewing important investment options
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for the utility industry and electricity consumers. Decisions are
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made based on minimizing the net present value of capital and
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operating costs over the full planning horizon. IPM also models a
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variety of environmental market mechanisms, such as emissions caps,
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allowances, trading, and banking. 5
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Air Quality and Deposition Modeling
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Air quality modeling is a critical analytical step that provides
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the link between emissions changes and the physical effects that
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affect human health and the environment. This step of the analysis
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employs complex computer models that simulate the transport and
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transformation of emitted pollutants in the atmosphere. The results
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of these model runs are predictions of pollutant concentrations
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under each of the emission control scenarios specified above. These
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predicted concentrations are then used as inputs to the human
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health effect estimation model discussed in the next section.
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Air quality modelers face two key challenges in attempting to
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translate emission inventories into pollutant concentrations.
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First, they must model the dispersion and transport of pollutants
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through the atmosphere. Second, they must model pertinent
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atmospheric chemistry and other pollutant transformation and
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removal processes. These challenges are particularly difficult for
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those pollutants that are not emitted directly but instead form
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through secondary processes. Ozone is the best example; it forms in
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the atmosphere through a series of complex, non-linear chemical
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interactions of precursor pollutants, particularly certain classes
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of volatile organic compounds (VOCs) and nitrogen oxides (NOx).
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Modelers face similar challenges when
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Complete documentation of the IPM model can be found
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athttp://www.epa.gov/airmarkt/epa-ipm/index.html#documentation
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.
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estimating PM concentrations. Atmospheric transformation of
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gaseous sulfur dioxide and nitrogen oxides to particulate sulfates
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and nitrates, respectively, contributes significantly to ambient
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concentrations of fine particulate matter. In addition to
494
recognizing the complex atmospheric chemistry relevant for some
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pollutants, air quality modelers also must deal with uncertainties
496
associated with variable meteorology and the spatial and temporal
497
distribution of emissions.
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Air quality modelers and researchers have responded to the need
499
for scientifically valid and reliable estimates of air quality
500
changes by developing a number of sophisticated atmospheric
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dispersion and transformation models. Some of these models have
502
been employed in support of the development of federal clean air
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programs, national assessment studies, State Implementation Plans
504
(SIPs), and individual air toxic source risk assessments. In this
505
analysis, we used two of these well-established models, the
506
Regional Modeling System for Aerosols and Deposition (REMSAD) and
507
the Comprehensive Air Quality Model with Extensions (CAMx), to
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develop a picture of future changes in air quality resulting from
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the implementation of the Clear Skies Act.
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Regional Modeling System for Aerosols and Deposition
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(REMSAD)
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The change in PM concentrations due to the Clear Skies Act was
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modeled using the Regional Modeling System for Aerosols and
514
Deposition (REMSAD). REMSAD was also used to estimate the changes
515
in visibility and deposition of mercury, nitrogen, and sulfur.
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REMSAD is a three-dimensional, grid-based Eulerian air quality
517
model designed to simulate long-term (e.g., annual) concentrations
518
and deposition fluxes of atmospheric pollutants over large spatial
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scales (e.g., over the contiguous U.S.). Air pollution issues meant
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to be addressed by REMSAD include long-term PM2.5 ambient
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concentrations; visibility; ambient concentrations and deposition
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fluxes of several hazardous air pollutants, including mercury;
523
deposition fluxes of nutrient nitrogen; and deposition of acids
524
such as sulfuric acid and nitric acid.
525
REMSAD has been developed under funding from the U.S.
526
Environmental Protection Agency over the past five years. REMSAD
527
consists of three components: (1) a meteorological data
528
pre-processor; (2) the core aerosol and toxic deposition model
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(ATDM); and (3) postprocessing programs. The horizontal grid size
530
can be on the order of a few kilometers (km) for an urban-scale
531
simulation up to about 100 km for a continental-scale simulation.
532
For large-scale simulations, one-way nesting of fine and coarse
533
grids can be performed to allow simulation of sensitive areas with
534
strong pollution spatial gradients using a fine grid resolution.
535
The vertical structure of REMSAD covers the whole troposphere from
536
the surface up to about 15 km. The physical and chemical processes
537
simulated by REMSAD include emissions of pollutants from surface
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and elevated sources, advective transport, horizontal turbulent
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diffusion, vertical mixing via turbulent diffusion and convective
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transport, cloud processes, gas-phase and aqueous-phase chemistry,
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PM2.5 formation, dry deposition and wet deposition.
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Version 6.40 of REMSAD was employed for this analysis. Previous
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versions of REMSAD have been used to estimate PM for EPA's Heavy
544
Duty Engine Diesel Fuel Rule and for the first Section 812
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Prospective Analysis. REMSAD Version 6.40 includes improvements
546
that address comments EPA obtained during the 1999 peer review of
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REMSAD Version 4.1
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(Seigneur et al., 1999), including improved treatment of
549
ammonium/nitrate/sulfate equilibrium, inclusion of additional
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aqueous sulfate formation pathways, and expanded treatment of
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mercury chemistry (ICF Consulting, 2001).
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The REMSAD modeling domain selected for the Clear Skies Act
553
consists of 36 km x 36 km grid cells covering the 48-contiguous
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United States, and REMSAD can perform a full-year simulation,
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generating predictions of hourly PM concentrations (including both
556
PM2.5 component species and PM10) at each grid cell. These hourly
557
predictions form the basis for direct calculation of daily and
558
annual PM air quality metrics (e.g., annual mean PM concentration)
559
as inputs to the health and welfare C-R functions of the benefits
560
analysis. REMSAD also gives visibility, which is used as an input
561
into the visibility damage function.
562
For this benefits analysis, we applied REMSAD to the entire U.S.
563
for four future-year scenarios: a 2010 Base Case, a 2020 Base Case,
564
a 2010 Clear Skies Act Case, and a 2020 Clear Skies Act Case. The
565
difference in REMSAD-modeled PM concentrations for these scenarios
566
represents the expected change in PM due to the emission controls
567
under the Clear Skies Act.
568
Comprehensive Air Quality Model with Extensions (CAMx)
569
We modeled changes in ozone in the eastern U.S. using the
570
Comprehensive Air Quality Model with Extensions (CAMx). CAMx is an
571
Eulerian photochemical dispersion model designed to assess both
572
gaseous and particulate air pollution over many scales, from urban
573
to super-regional. The model estimates concentrations of both inert
574
and chemically reactive pollutants by simulating the physical and
575
chemical processes in the atmosphere that affect ozone formation.
576
The latest version of the model, CAMx 3.10, provides full support
577
for parallel processing for increased computational performance, as
578
well as new algorithms for gas phase chemistry (CAMx v3.10 User's
579
Guide, April 2002).
580
The modeling domain for this analysis encompasses most of the
581
eastern U.S., bounded on the east by the 67 degrees west longitude
582
and on the west by the 99 degrees west longitude. Ozone modeling is
583
only done for the East because there is very little confidence in
584
the application of this model to the West. The horizontal
585
resolution for the outer grid is approximately 36 km. The
586
horizontal resolution for the inner grid is approximately 12 km.
587
The vertical resolution for both grids consists of nine layers. The
588
top of the modeling domain is 4000 meters above ground level.
589
Recognizing the relationship between grid cell resolution and the
590
certainty of results, we sought to estimate pollutant
591
concentrations in more populated areas using higher resolution
592
models. Similarly, we used an intermediate resolution grid (12 km x
593
12 km) to model ozone in "inner OTAG" states where population
594
density is high and ozone transport is a major problem.6 This
595
approach makes CAMx well suited to estimate effects based on a
596
range of ozone averaging times, an important capability for
597
benefits assessment applications.
598
This study extracted hourly, surface-layer ozone concentrations
599
for each grid-cell from the standard CAMx output file containing
600
hourly average ozone values. These model predictions are used in
601
conjunction with the observed concentrations obtained from the
602
Aerometric
603
6
604
The Ozone Transport Assessment Group (OTAG) consists of the 37
605
easternmost states and the District of Columbia. The "inner OTAG"
606
region is comprised of the more eastern (and more populated) states
607
within the OTAG domain.
608
Information Retrieval System (AIRS) to generate ozone
609
concentrations for the entire ozone season. 7,8 The predicted
610
changes in ozone concentrations from the Base Case to the Clear
611
Skies Act serve as inputs to the health and welfare C-R functions
612
of the benefits analysis, i.e., the Criteria Air Pollutant Modeling
613
System (CAPMS).
614
In order to estimate ozone-related health and welfare effects
615
for the eastern U.S., fullseason ozone data are required for every
616
CAPMS grid-cell. Given available ozone monitoring data, we
617
generated full-season ozone profiles for each location in the
618
modeling domain in two steps: (1) we combine monitored observations
619
and modeled ozone predictions to interpolate hourly ozone
620
concentrations to a grid of 8 km by 8 km population grid-cells, as
621
will be described in the Human Health and Environmental Effects
622
Modeling section, and (2) we converted these full-season hourly
623
ozone profiles to an ozone measure of interest, such as the daily
624
average. 9, 10 For the analysis of ozone impacts on agriculture, we
625
use a similar approach except air quality is interpolated to county
626
centroids as opposed to population grid-cells. We report ozone
627
concentrations as a cumulative index called the SUM06. The SUM06 is
628
the sum of the ozone concentrations for every hour that exceeds
629
0.06 parts per million (ppm) within a 12-hour period from 8 am to 8
630
pm in the months of May to September. These methods are described
631
in detail in the Heavy Duty Engine/Diesel Fuel RIA (USEPA,
632
2000b).
633
634
635
Human Health and Environmental Effects Modeling
636
As part of the evaluation of the effects of various scenarios
637
concerning SO2 and NOx emissions, we have identified and, where
638
possible, developed quantitative, monetized estimates of these
639
health benefits. This section describes the first step in this
640
process, the estimation of changes in the incidence of adverse
641
health effects. Our analysis also looked at several environmental
642
endpoints, including the benefits associated with visibility
643
improvements, ozone damage to agriculture, and changes in
644
acidification in lakes and streams in the East.
645
Exhibit 4 provides a list of the health effects for which we
646
estimate quantified benefits as part of our analysis plus a list of
647
the health effects for which we are unable to quantify benefits at
648
this time. The unquantified benefits for ozone and PM fall into two
649
categories: (1) those for which the scientific literature does not
650
provide an established Concentration-Response (C-R) function
651
capable of estimating health effects with reasonable certainty and
652
(2) those effects that may double-count benefits (e.g., hospital
653
admissions for specific cardiovascular illnesses). The direct
654
health effects of nitrogen oxide gases and sulfur dioxide gases are
655
also unquantified. Although C-R functions are available to estimate
656
health effects of exposure to nitrogen oxides
657
7
658
The ozone season for this analysis is defined as the 5-month
659
period from May to September; however, to estimate certain crop
660
yield benefits, the modeling results were extended to include
661
months outside the 5-month ozone season.
662
8
663
Based on AIRS, there were 949 ozone monitors with sufficient
664
data, i.e., at least 9 hourly observations per day (8 am to 8 pm)
665
in a given season.
666
9
667
The 8 km grid squares contain the population data used in the
668
health benefits analysis model, CAPMS. See Section C of this
669
chapter for a discussion of this model.
670
10
671
This approach is a generalization of planar interpolation that
672
is technically referred to as enhanced Voronoi Neighbor Averaging
673
(EVNA) spatial interpolation (See Abt Associates (2000) for a more
674
detailed description).
675
and sulfur dioxide gases, these effects were not estimated in
676
this analysis because of modeling and resource limitations. The
677
health and environmental effects of mercury exposure are also not
678
quantified. EPA is currently investigating methods to quantify and
679
monetize the human health related benefits of reductions in air
680
emissions of mercury. However, there are still major gaps in the
681
science of mercury fate, transport, and transformation that make
682
such an assessment difficult at time. Methods for mercury benefits
683
analyses are still under development and do not yet provide a means
684
to estimate the mercury-related benefits of the Clear Skies
685
Act.
686
Exhibit 4 Human Health Effects of Air Pollutants
687
688
Pollutant Quantified Health Effects Unquantified Health
689
Effects
690
Ozone Minor restricted activity days
691
Hospital admissions-Respiratory and Cardiovascular
692
Emergency room visits for asthma Asthma attacks Mortality
693
Increased airway responsiveness to stimuli Inflammation in the lung
694
Chronic respiratory damage / Premature aging
695
of the lungs Acute inflammation and respiratory cell damage
696
Increased susceptibility to respiratory infection Respiratory
697
symptoms Chronic asthma (new cases) Non-asthma respiratory
698
emergency room visits
699
Particulate Matter (PM10, PM2.5)
700
Chronic Premature Mortality* Acute Premature Mortality ‡*
701
Bronchitis - Chronic and Acute Hospital admissions -
702
Respiratory and
703
Cardiovascular Emergency room visits for asthma Lower and Upper
704
respiratory illness Asthma Attacks Respiratory symptoms Minor
705
restricted activity days** Days of work loss Changes in pulmonary
706
function Neonatal mortality Low birth weight Chronic respiratory
707
diseases other than
708
chronic bronchitis Morphological changes Altered host defense
709
mechanisms Moderate or worse asthma status
710
(asthmatics) Shortness of breath Lung cancer Acute myocardial
711
infarction Cardiac arrhythmias School absence days
712
Mercury
713
Neurological disorders Learning disabilities Retarded
714
development Cerebral palsy
715
Cardiovascular effects Altered blood pressure regulation
716
Increased heart rate variability Myocardial infarctions
717
Damage to the immune system Altered renal function and renal
718
hypertrophy Reproductive effects
719
Nitrogen Oxides Respiratory illness
720
Hospital Admissions -All Respiratory and All Cardiovascular
721
Non-asthma respiratory emergency room visits Increased airway
722
responsiveness to stimuli Chronic respiratory damage / Premature
723
aging of the
724
lungs Inflammation of the lung Increased susceptibility to
725
respiratory infection
726
Acute inflammation and respiratory cell damage
727
Sulfur Dioxide
728
Hospital Admissions -All Respiratory and All Cardiovascular
729
In exercising asthmatics: Chest tightness, Shortness of breath,
730
or Wheezing
731
Non-asthma respiratory emergency room visits Changes in
732
pulmonary function Respiratory symptoms in non-asthmatics
733
‡ Quantified as an alternative or supplemental calculation.
734
Current uncertainties in our understanding of these effects
735
and/or
736
concern about double counting of benefits do not support
737
including these quantitative estimates in the primary benefits
738
estimate. Moderate or Worse Asthma Status is not included in
739
Primary Estimate due to concerns of double-counting other asthma
740
endpoints.
741
* This analysis estimates avoided mortality using PM as an
742
indicator of the criteria air pollutant mix to which individuals
743
wereexposed.
744
** Minor restricted activity days are estimated excluding asthma
745
attacks to avoid double counting.
746
Exhibit 5 provides a list of the ecological effects associated
747
with the emissions targeted by Clear Skies. As stated earlier, most
748
of these effects have not been quantified as part of our analysis,
749
due to data or modeling limitations. We have, however, monetized
750
effects of changes in ambient ozone on some agricultural production
751
and changes in particulate matter on visibility.
752
Exhibit 5 Ecological Effects of Air Pollutants
753
754
755
Pollutant Quantified Effects Unquantified Effects
756
Particulate Matter Recreational visibility in Class I areas in
757
Recreational visibility for Class I areas in other (PM10, PM2.5)
758
California, the Southwest, and the parts of the U.S.
759
Southwest Residential visibility
760
Ozone Impacts to agriculture (e.g., reduced crop Impacts on
761
commercial timber sales yields) Ozone impacts on carbon
762
sequestration in commercial timber
763
Acidic Deposition
764
Impacts to recreational freshwater fishing
765
Impacts to commercial forests (e.g., timber, non-timber forest
766
products)
767
Impacts to commercial freshwater fishing
768
Watershed damages (water filtration flood control)
769
Impacts to recreation in terrestrial ecosystems (e.g. forest
770
aesthetics, nature study)
771
Reduced existence value and option values for non-acidified
772
ecosystems (e.g. biodiversity values)
773
Nitrogen Deposition
774
Impacts to commercial fishing, agriculture, and forests
775
Watershed damages (water filtration, flood control)
776
Impacts to recreation in estuarine ecosystems (e.g. recreational
777
fishing, aesthetics, nature study)
778
Reduced existence value and option values for non-eutrophied
779
ecosystems
780
(e.g. biodiversity values)
781
Mercury Deposition
782
Impacts on birds and mammals (e.g. reproductive effects)
783
Impacts to commercial, subsistence, and recreational fishing
784
Reduced existence value and option values for ecosystems without
785
accumulated mercury (e.g. biodiversity values)
786
To estimate health benefits from the Clear Skies Act, we used
787
the same general approach used in recent major OAR regulatory
788
analyses (U.S. EPA, 1999a, 1999b and 2000b). This approach takes
789
the estimates of changes in ambient pollutant concentrations
790
predicted by air quality modeling for each scenario (relative to
791
the baseline scenario) and converts them into estimates of changes
792
in the incidence of adverse health effects using
793
concentration-response (C-R) functions. The model we use to
794
generate these estimates is the Criteria Air Pollutant Modeling
795
System (CAPMS).
796
We calculated the benefits attributable to the Clear Skies Act
797
as the change in incidence of adverse health effects between the
798
control and baseline scenarios. CAPMS estimates incidence changes
799
for each health effect within 8 km x 8 km grid cells covering the
800
contiguous
801
U.S. and generates national health benefits estimates by summing
802
the annual incidence changefor each effect across all grid cells.
803
CAPMS uses C-R functions specific to each health effect to
804
calculate incidences in each grid cell. C-R functions are equations
805
that relate the change in the number of individuals in a population
806
exhibiting a "response" (in this case an adverse health effect such
807
as respiratory disease) to a change in pollutant concentration
808
experienced by that population. In general, the C-R functions used
809
in CAPMS require four input values: (1) the grid-cell-specific
810
change in pollutant concentration; (2) the grid-cell affected
811
population (i.e. asthmatic children); (3) the baseline incidence
812
rate of the health effects; and (4) an estimate of the change in
813
the number of individuals that suffer an adverse health effect per
814
unit change in air quality. Both the form of the C-R function and
815
the fourth input value are derived from epidemiological studies in
816
the scientific literature that link pollutant exposures with
817
adverse health effects.
818
In addition to our national benefits results, we generated
819
regional estimates of the benefits of the Clear Skies Act using the
820
same benefits estimation procedure used to generate the national
821
estimates. The REMSAD and CAMx air quality models provide
822
information on the improvements in ambient air concentrations
823
throughout the country within 36 km by 36 km gridboxes. This
824
information is used in subsequent exposure, dose-response, and
825
valuation steps, including location-specific baseline mortality and
826
morbidity risk data to generate locationspecific estimates of
827
health benefits. This "bottom-up" approach provides a more accurate
828
representation of regional benefits estimates than a comparable
829
"top-down", emissions-weighted approach might, particularly given
830
the importance of long-range transport for the major pollutants
831
controlled by the Clear Skies Act (SO2 and NOx, as well as
832
mercury).
833
Recreational visibility benefits can also be geographically
834
disaggregated, based on either the location of the recreational
835
Class I area where visibility is improved, or on the state of
836
origin of visitors to these sites. For this analysis, we
837
disaggregated benefits based on the state of origin of visitors,
838
reflecting the notion that many of the recreational sites with the
839
highest visitation rates are valued by individuals throughout the
840
country, not only by those individuals who live closest to the
841
site. The results of the regional analysis of visibility benefits
842
indicate that benefits are realized throughout the country, with a
843
higher concentration of benefits in those areas of higher
844
population density.
845
Exhibit 6 provides a list of the health effect endpoints we
846
quantified as part of our analysis of the Clear Skies Act, as well
847
as references to the studies that serve as the basis for the C-R
848
functions. As with emissions and air quality estimates, our
849
estimates of the effect of ambient pollution levels on all of these
850
endpoints represent the best science and analytical tools
851
available. With the exception of the short-term mortality endpoint,
852
the choice of C-R functions and the majority of the analytical
853
assumptions used to develop our estimates have been reviewed and
854
approved by EPA's Science Advisory Board (SAB). The C-R functions
855
in Exhibit 6 only capture effects related to exposures to
856
particulate matter and ozone; they do not include human health
857
effects related to exposures to SO2, NO2, or mercury. As a result,
858
for these exposures, we have underestimated the total health
859
benefits attributable to Clear Skies emissions reductions.
860
Air Quality Changes
861
As in the analysis of the Heavy-Duty Engine/Diesel Fuel Rule
862
(U.S. EPA, 2000b), the REMSAD PM and CAMx ozone results discussed
863
above served as direct inputs to the CAPMS model. To calculate
864
population exposure to PM, each 8 km by 8 km CAPMS grid cell was
865
assigned to the nearest REMSAD grid cell by calculating the
866
shortest distance between the center of the CAPMS grid cell to the
867
center of a REMSAD grid cell.
868
To develop baseline and control exposure predictions for ozone,
869
we used the results of the variable-grid Comprehensive Air Quality
870
Model with Extensions (CAMx) for each scenario and observed ozone
871
data for the baseline year (1996). At each ozone monitor, we
872
quantified the relationship between CAMx modeled levels of ozone at
873
the monitor for 1996 and the future year (2010 or 2020). These
874
adjustment ratios are applied to the actual monitoring data to
875
generate estimates of ozone levels at the monitor for the future
876
scenarios. Note that we do not use the modeling data directly to
877
estimate future-year ozone levels. Instead, we use them in a
878
relative sense to simply adjust actual, 1996 ozone monitor levels
879
to future Base Case or Clear Skies levels. This provides a better
880
estimate than the CAMx modeling data itself. To calculate
881
population exposure to ozone, each CAPMS grid cell was assigned a
882
distance-weighted average of adjusted ozone levels from nearby
883
ozone monitors.
884
Population
885
Health benefits are related to the change in air pollutant
886
exposure experienced by individuals; because the expected changes
887
in pollutant concentrations vary from location to location,
888
individuals in different parts of the country may not experience
889
the same level of health benefits. We apportioned benefits among
890
individuals by matching the change in air pollutant concentration
891
in each grid cell with the size of the population that experiences
892
that change. We extrapolated grid cell population estimates for
893
future years from 1990 U.S. Census Bureau data according to the
894
method described in U.S. EPA (2000b).
895
896
897
898
Asthma Attacks PM and Whittemore and Korn (1980) Asthmatics, all
899
ages Ozone
900
Acute Bronchitis PM Dockery et al. (1996) Children, 8-12
901
years
902
Upper Respiratory Symptoms PM Pope et al. (1991) Asthmatic
903
children, 911
904
Lower Respiratory Symptoms PM Schwartz et al. (1994) Children,
905
7-14 years
906
Work Loss Days PM Ostro (1987) Adults, 18-65 years
907
Minor Restricted Activity Days PM and Ostro and Rothschild
908
(1989) Adults, 18-65 years (minus asthma attacks) Ozone
909
* For a discussion of the procedure for estimating these
910
endpoints see USEPA 2000b.
911
An epidemiological study typically focuses on a particular age
912
cohort (e.g., adults age 30 and older), and the C-R relationship
913
found in a particular study can not necessarily be generalized
914
across broader age categories. Therefore, to avoid overestimating
915
the benefits of reduced pollution levels, we applied C-R
916
relationships only to those age groups corresponding to the cohorts
917
studied. For outcomes where the study population reflects data
918
limitations and not the age-specificity of a health effect, this
919
assumption may lead us to underestimate the benefits of reductions
920
in pollutant exposures to the entire, exposed population.
921
Baseline Incidence Rate
922
Some C-R functions (those expressed as a change relative to
923
baseline conditions) require baseline incidence data associated
924
with ambient levels of pollutants. County mortality rates were used
925
in the estimation of PM-related mortality. For hospital admissions,
926
national level incidence rates were used. In cases where neither
927
county nor national-level incidence rates were available, the
928
baseline incidence from the C-R reference study was applied.
929
Sources for incidence rates are given in U.S. EPA (2000b).
930
Concentration-Response Functions
931
We relied on the most recently available, published scientific
932
literature to ascertain the relationship between particulate matter
933
exposure and adverse human health effects. We evaluated studies
934
using the nine selection criteria summarized in Exhibit 7. These
935
criteria include consideration of whether the study was
936
peer-reviewed, the study design and location, and characteristics
937
of the study population, among other considerations. The selection
938
of C-R functions for the benefits analysis is guided by the goal of
939
achieving a balance between comprehensiveness and scientific
940
defensibility. The C-R functions for PM exposure selected for the
941
Base Estimate are the same as those the Environmental Protection
942
Agency used in the Heavy-Duty Engine/Diesel Fuel RIA. The
943
Alternative Estimate uses alternative C-R functions to evaluate the
944
effect of short-term exposure to particulate matter on premature
945
mortality. We present information below on the selection of C-R
946
functions for the two most significant health effects evaluated (in
947
terms of monetized benefits), premature mortality and chronic
948
bronchitis. Detailed information on the selection and application
949
of C-R functions for other endpoints in Exhibit 4 is available in
950
the Heavy-Duty Engine/Diesel Fuel RIA (U.S. EPA, 2000b).
951
952
953
Exhibit 7 Summary of Considerations Used in Selecting C-R
954
Functions
955
Consideration Comments
956
Peer reviewed research Peer reviewed research is preferred to
957
research that has not undergone the peer review process.
958
Study type Among studies that consider chronic exposure (e.g.,
959
over a year or longer) prospective cohort studies are preferred
960
over cross-sectional studies (a.k.a. "ecological studies") because
961
they control for important confounding variables that cannot be
962
controlled for in cross-sectional studies. If the chronic effects
963
of a pollutant are considered more important than its acute
964
effects, prospective cohort studies may also be preferable to
965
longitudinal time series studies because the latter type of study
966
is typically designed to detect the effects of short-term (e.g.
967
daily) exposures, rather than chronic exposures. If short-term
968
effects are considered more important, distributed lag approaches,
969
which assume that mortality following a PM event will be
970
distributed over a number of days following the event, are
971
preferred over daily mortality studies. (Daily mortality studies
972
examine the impact of PM2.5 on mortality on a single day or over
973
the average of several days).
974
Study period Studies examining a relatively longer period of
975
time (and therefore having more data) are preferred, because they
976
have greater statistical power to detect effects. More recent
977
studies are also preferred because of possible changes in pollution
978
mixes, medical care, and life style over time.
979
Study population
980
Studies examining a relatively large sample are preferred.
981
Studies of narrow population groups are generally disfavored,
982
although this does not exclude the possibility of studying
983
populations that are potentially more sensitive to pollutants
984
(e.g., asthmatics, children, elderly). However, there are tradeoffs
985
to comprehensiveness of study population. Selecting a C-R function
986
from a study that considered all ages will avoid omitting the
987
benefits associated with any population age category. However, if
988
the age distribution of a study population from an "all population"
989
study is different from the age distribution in the assessment
990
population, and if pollutant effects vary by age, then bias can be
991
introduced into the benefits analysis.
992
Study location U.S. studies are more desirable than non-U.S.
993
studies because of potential differences in pollution
994
characteristics, exposure patterns, medical care system, and life
995
style.
996
Pollutants included in model Models with more pollutants are
997
generally preferred to models with fewer pollutants, though careful
998
attention must be paid to potential colinearity between pollutants.
999
Because PM has been acknowledged to be an important and pervasive
1000
pollutant, models that include some measure of PM are highly
1001
preferred to those that do not.
1002
Measure of PM PM2.5 and PM10 are preferred to other measures of
1003
particulate matter, such as total suspended particulate matter
1004
(TSP), coefficient of haze (COH), or black smoke (BS) based on
1005
evidence that PM2.5 and PM10 are more directly correlated with
1006
adverse health effects than are these other measures of PM.
1007
Economically valuable health Some health effects, such as forced
1008
expiratory volume and other technical measurements of effects lung
1009
function, are difficult to value in monetary terms. These health
1010
effects are not quantified in this analysis.
1011
Non-overlapping endpoints Although the benefits associated with
1012
each individual health endpoint may be analyzed separately, care
1013
must be exercised in selecting health endpoints to include in the
1014
overall benefits analysis because of the possibility of double
1015
counting of benefits. Including emergency room visits in a benefits
1016
analysis that already considers hospital admissions, for example,
1017
will result in double counting of some benefits if the category
1018
"hospital admissions" includes emergency room visits.
1019
Concentration-response relationships between a pollutant and a
1020
given health endpoint are applied consistently across all locations
1021
nationwide. This applies to both C-R relationships defined by a
1022
single C-R function and those defined by a pooling of multiple C-R
1023
functions. Although the C-R relationship may, in fact, vary from
1024
one location to another (for example, due to differences in
1025
population susceptibilities or differences in the composition of
1026
PM), locationspecific C-R functions are generally not available. A
1027
single function applied everywhere may result in overestimates of
1028
incidence changes in some locations and underestimates elsewhere,
1029
but these location-specific biases will negate each other, to some
1030
extent, when the total incidence change is calculated. It is not
1031
possible to know the extent or direction of the bias in the total
1032
incidence change based on the general application of a single C-R
1033
function everywhere.
1034
C-R functions may also be estimated with or without explicit
1035
thresholds. Air pollution levels below the threshold for each
1036
health effect studied are assumed not to cause the effect. When no
1037
threshold is assumed, as is often the case in epidemiological
1038
studies, any exposure level is assumed to pose a non-zero risk of
1039
response to at least one segment of the population. In the benefits
1040
analyses for some recent RIAs (e.g., the Regional Haze RIA and the
1041
NOx SIP Call RIA), the low-end estimate of benefits assumed a
1042
threshold in PM health effects at 15 :g/m3. However, the SAB,
1043
supported by recent literature addressing this issue (Rossi et al.,
1044
1999; Schwartz, 2000), subsequently advised EPA that there is
1045
currently no scientific basis for selecting a threshold of 15 :g/m3
1046
or any other specific threshold for the PM-related health effects
1047
considered in this analysis (EPA-SAB-Council-ADV-99-012, 1999).
1048
Therefore, for our benefits analysis, we assume there are no
1049
thresholds for modeling health effects. We do, however, present a
1050
quantitative sensitivity analysis of this assumption in the results
1051
section.
1052
Recently, the Health Effects Institute (HEI) reported findings
1053
by investigators at Johns Hopkins University and others that have
1054
raised concerns about aspects of the statistical methods used in a
1055
number of recent time-series studies of short-term exposures to air
1056
pollution and health effects (Greenbaum, 2002a). Some of the
1057
concentration-response functions used in this benefits analysis
1058
were derived from such short-term studies. The estimates derived
1059
from the long-term exposure studies, which account for a major
1060
share of the benefits in the Base Estimate, are not affected. As
1061
discussed in HEI materials provided to sponsors and to the Clean
1062
Air Scientific Advisory Committee (Greenbaum, 2002a, 2002b), these
1063
investigators found problems in the default "convergence criteria"
1064
used in Generalized Additive Models (GAM) and a separate issue
1065
first identified by Canadian investigators about the potential to
1066
underestimate standard errors in the same statistical package.11
1067
These and other investigators have begun to reanalyze the results
1068
of several important time series studies with alternative
1069
approaches that address these issues and have found a downward
1070
revision of some results. For example, the mortality risk estimates
1071
for short-term exposure to PM10 from NMMAPS were overestimated
1072
(this study was not used in this benefits analysis of fine particle
1073
effects).12 However, both the relative magnitude and the direction
1074
of bias introduced by the convergence issue are case-specific. In
1075
most cases, the concentration-response relationship may be
1076
overestimated; in other cases, it may be underestimated. The
1077
preliminary reanalyses of the mortality and morbidity components of
1078
NMMAPS suggest that analyses reporting the lowest relative risks
1079
appear to be affected more greatly by this error than studies
1080
reporting higher relative risks (Dominici et al., 2002; Schwartz
1081
and Zanobetti, 2002).
1082
11Most of the studies used a statistical package known as
1083
"S-plus." For further details, see
1084
http://www.healtheffects.org/Pubs/NMMAPSletter.pdf.
1085
12HEI sponsored the multi-city the National Morbidity,
1086
Mortality, and Air Pollution Study (NMMAPS). See
1087
http://biosun01.biostat.jhsph.edu/~fdominic/NMMAPS/nmmaps-revised.pdf
1088
for revised mortality results.
1089
Our examination of the original studies used in this analysis
1090
finds that the health endpoints that are potentially affected by
1091
the GAM issues include: reduced hospital admissions in both the
1092
Base and Alternative Estimates; reduced lower respiratory symptoms
1093
in the both the Base and Alternative Estimates; and reduced
1094
premature mortality due to short-term PM exposures in the
1095
Alternative Estimate. While resolution of these issues is likely to
1096
take some time, the preliminary results from ongoing reanalyses of
1097
some of the studies used in our Clear Skies analyses (Dominici et
1098
al, 2002; Schwartz and Zanobetti, 2002; Schwartz, personal
1099
communication 2002) suggest a more modest effect of the S-plus
1100
error than reported for the NMMAPS PM10 mortality study. While we
1101
wait for further clarification from the scientific community, we
1102
have chosen not to remove these results from the Clear Skies
1103
benefits estimates, nor have we elected to apply any interim
1104
adjustment factor based on the preliminary reanalyses. EPA will
1105
continue to monitor the progress of this concern, and make
1106
appropriate adjustments as further information is made
1107
available.
1108
Premature Mortality (Particulate Matter)
1109
Both long and short-term exposures to ambient levels of air
1110
pollution have been associated with increased risk of premature
1111
mortality. The size of the mortality risk estimates from these
1112
epidemiological studies, the serious nature of the effect itself,
1113
and the high monetary value ascribed to prolonging life make
1114
mortality risk reduction the most important health endpoint
1115
quantified in this analysis. Because of the importance of this
1116
endpoint and the considerable uncertainty among economists and
1117
policymakers as to the appropriate way to value reductions in
1118
mortality risks, this section discusses some of the issues
1119
surrounding the estimation of premature mortality. Additional
1120
discussion is found in the section on uncertainties.
1121
Health researchers have consistently linked air pollution,
1122
especially PM, with excess mortality. Although a number of
1123
uncertainties remain to be addressed by continued research (NRC,
1124
1998), a substantial body of published scientific literature
1125
recognizes a correlation between elevated PM concentrations and
1126
increased mortality rates. Two types of community epidemiological
1127
studies (involving measures of short-term and long-term exposures
1128
and response) have been used to estimate PM/ mortality
1129
relationships. Short-term studies relate shortterm (often
1130
day-to-day) changes in PM concentrations and changes in daily
1131
mortality rates up to several days after a period of elevated PM
1132
concentrations. Long-term studies examine the potential
1133
relationship between longer-term (e.g., one or more years) exposure
1134
to PM and annual mortality rates. Researchers have found
1135
significant associations using both types of studies.
1136
1. Base Estimate
1137
Over a dozen studies have found significant associations between
1138
various measures of long-term exposure to PM and elevated rates of
1139
annual mortality (e.g. Lave and Seskin, 1977; Ozkaynak and
1140
Thurston, 1987). While most of the published studies found positive
1141
(but not always significant) associations with available PM indices
1142
such as total suspended particles (TSP), fine particles components
1143
(i.e. sulfates), and fine particles, exploration of alternative
1144
model specifications sometimes found inconsistencies (e.g. Lipfert,
1145
1989). These early "crosssectional" studies were criticized for a
1146
number of methodological limitations, particularly for inadequate
1147
control at the individual level for variables that are potentially
1148
important in causing mortality, such as wealth, smoking, and diet.
1149
More recently, several new, long-term studies have been published
1150
that use improved approaches and appear to be consistent with the
1151
earlier body of literature. These new "prospective cohort" studies
1152
reflect a significant improvement over the earlier work because
1153
they include information on individual information with respect to
1154
measures related to health status and residence. The most extensive
1155
study and analyses has been based on data from two prospective
1156
cohort groups, often referred to as the Harvard "Six-City study"
1157
(Dockery et al., 1993) and the "American Cancer Society or ACS
1158
study" (Pope et al., 1995); these studies have found consistent
1159
relationships between fine particle indicators and mortality across
1160
multiple locations in the U.S. A third major data set comes from
1161
the California based 7th day Adventist study (e.g. Abbey et al,
1162
1999), which reported associations between long-term PM exposure
1163
and mortality in men. Results from this cohort, however, have been
1164
inconsistent and the air quality results are not geographically
1165
representative of most of the US. More recently, a cohort of adult
1166
male veterans diagnosed with hypertension has been examined
1167
(Lipfert et al., 2000). Unlike previous long-term analyses, this
1168
study found some associations between mortality and ozone but found
1169
inconsistent results for PM indicators.
1170
Given their consistent results and broad applicability to
1171
general US populations, the Six-City and ACS data have been of
1172
particular importance in benefits analyses. The credibility of
1173
these two studies is further enhanced by the fact that they were
1174
subject to extensive reexamination and reanalysis by an independent
1175
scientific analysis team of experts compiled by the Health Effects
1176
Institute (Krewski et al., 2000). The final results of the
1177
reanalysis were then independently peer reviewed by a Special Panel
1178
of the HEI Health Review Committee. The results of these reanalyses
1179
confirmed and expanded those of the original investigators. This
1180
intensive independent reanalysis effort was occasioned both by the
1181
importance of the original findings as well as concerns that the
1182
underlying individual health effects information has never been
1183
made publicly available. The HEI re-examination lends credibility
1184
to the original studies but also found unexpected sensitivities
1185
concerning (a) which pollutants are most important, (b) the role of
1186
education in mediating the association between pollution and
1187
mortality, and (c) the magnitude of the association depending on
1188
how spatial correlation was handled. Further confirmation and
1189
extension of the overall findings using more recent air quality and
1190
ACS health information was recently published in the Journal of the
1191
American Medical Association (Pope et al., 2002). In general, the
1192
risk estimates based on the long-term mortality studies are
1193
substantially greater than those derived from short-term
1194
studies.
1195
In developing and improving the methods for estimating and
1196
valuing the potential reductions in mortality risk over the years,
1197
EPA has consulted with a panel of the Science Advisory Board. That
1198
panel recommended use of long-term prospective cohort studies in
1199
estimating mortality risk reduction (EPA-SAB-COUNCIL-ADV-99-005,
1200
1999). More specifically, the SAB recommended emphasis on Pope, et
1201
al. (1995) because it includes a much larger sample size and longer
1202
exposure interval, and covers more locations (e.g. 50 cities
1203
compared to 6 cities examined in the Harvard data) than other
1204
studies of its kind. As explained in the regulatory impact analysis
1205
for the Heavy-Duty Engine/Diesel Fuel rule (U.S. EPA, 2000b), more
1206
recent EPA benefits analyses have relied on an improved
1207
specification from this data set that was developed in the HEI
1208
reanalysis of this study (Krewski et al., 2000). The particular
1209
specification estimated a C-R function based on changes in mean
1210
levels of PM2.5, as opposed to the function in the original study,
1211
which used median levels. This specification also includes a
1212
broader geographic scope than the original study (63 cities versus
1213
50). The SAB has recently agreed with EPA's selection of this
1214
specification for use in analyzing mortality benefits of PM
1215
reductions (EPA-SAB-COUNCIL-ADV-01-004, 2001). For these reasons,
1216
the present analysis uses the same Concentration-Response function
1217
in developing the Base Estimate of mortality benefits.
1218
2. Alternative Estimate
1219
To reflect concerns about the inherent limitations in the number
1220
of studies supporting a causal association between long-term
1221
exposure and mortality, an Alternative benefit estimate was derived
1222
from the large number of time-series studies that have established
1223
a likely causal relationship between short-term measures of PM and
1224
daily mortality statistics. A particular strength of such studies
1225
is the fact that potential confounding variables such as
1226
socio-economic status, occupation, and smoking do not vary on a
1227
day-to-day basis in an individual area. A number of multi-city and
1228
other types of studies strongly suggest that these
1229
effects-relationships cannot be explained by weather, statistical
1230
approaches, or other pollutants. The risk estimates from the vast
1231
majority of the short-term studies include the effects of only one
1232
or two-day exposure to air pollution. More recently, several
1233
studies have found that the practice of examining the effects on a
1234
single day basis may significantly understate the risk of
1235
short-term exposures (Schwartz, 2000; Zanobetti et al, 2002). These
1236
studies suggest that the short-term risk can double when the
1237
single-day effects are combined with the cumulative impact of
1238
exposures over multiple days to weeks prior to a mortality
1239
event.
1240
The fact that the PM-mortality coefficients from the cohort
1241
studies are far larger than the coefficients derived from the daily
1242
time-series studies provides some evidence for an independent
1243
chronic effect of PM pollution on health. Indeed, the Base Estimate
1244
presumes that the larger coefficients represent a more complete
1245
accounting of mortality effects, including both the cumulative
1246
total of short-term mortality as well as an additional chronic
1247
effect. This is, however, not the only possible interpretation of
1248
the disparity. Various reviewers have argued that 1) the long-term
1249
estimates may be biased high and/or 2) the short-term estimates may
1250
be biased low. In this view, the two study types could be measuring
1251
the same underlying relationship.
1252
Reviewers have noted some possible sources of upward bias in the
1253
long-term studies. Some have noted that the less robust estimates
1254
based on the Six-Cities Study are significantly higher than those
1255
based on the more broadly distributed ACS data sets. Some reviewers
1256
have also noted that the observed mortality associations from the
1257
1980's and 90's may reflect higher pollution exposures from the
1258
1950's to 1960's. While this would bias estimates based on more
1259
recent pollution levels upwards, it also would imply a truly
1260
long-term chronic effect of pollution.
1261
With regard to possible sources of downward bias, it is of note
1262
that the recent studies suggest that the single day time series
1263
studies may understate the short-term effect on the order of a
1264
factor of two. These considerations provide a basis for considering
1265
an Alternative Estimate using the most recent estimates from the
1266
wealth of time-series studies, in addition to one based on the
1267
long-term cohort studies.
1268
In essence, the Alternative Estimate addresses the above noted
1269
uncertainties about the relationship between premature mortality
1270
and long-term exposures to ambient levels of fine particles by
1271
assuming that there is no mortality effect of chronic exposures to
1272
fine particles. Instead, it assumes that the full impact of fine
1273
particles on premature mortality can be captured using a
1274
concentration-response function relating daily mortality to
1275
short-term fine particle levels. Specifically, a
1276
concentration-response function based on Schwartz et al. (1996) is
1277
employed, with an adjustment to account for recent evidence that
1278
daily mortality is associated with particle levels from a number of
1279
previous days (Schwartz, 2000). Previous daily mortality studies
1280
(Schwartz et al., 1996) examined the impact of PM2.5 on mortality
1281
on a single day or over the average of two or more days. Recent
1282
analyses have found that impacts of elevated PM2.5 on a given day
1283
can elevate mortality on a number of following days (Schwartz,
1284
2000; Samet et al., 2000). Multi-day models are often referred to
1285
as "distributed lag" models because they assume that mortality
1286
following a PM event will be distributed over a number of days
1287
following or "lagging" the PM event. 13
1288
There are no PM2.5 daily mortality studies which report numeric
1289
estimates of relative risks from distributed lag models; only PM10
1290
studies are available. Daily mortality C-R functions for PM10 are
1291
consistently lower in magnitude than PM2.5-mortality C-R functions,
1292
because fine particles are believed to be more closely associated
1293
with mortality than the coarse fraction of PM. Given that the
1294
emissions reductions under the Clear Skies Act result primarily in
1295
reduced ambient concentrations of PM2.5, use of a PM10 based C-R
1296
function results in a significant downward bias in the estimated
1297
reductions in mortality. To account for the full potential
1298
multi-day mortality impact of acute PM2.5 events, we use the
1299
distributed lag model for PM10 reported in Schwartz (2000) to
1300
develop an adjustment factor which we then apply to the
1301
PM2.5 based C-R function reported in Schwartz et al. (1996).
1302
If most of the increase in mortality is expected to be
1303
associated with the fine fraction of PM10, then it is reasonable to
1304
assume that the same proportional increase in risk would be
1305
observed if a distributed lag model were applied to the PM2.5 data.
1306
The distributed lag adjustment factor is constructed as the ratio
1307
of the estimated coefficient from the unconstrained distributed lag
1308
model to the estimated coefficient from the single-lag model
1309
reported in Schwartz (2000). The unconstrained distributed lag
1310
model coefficient estimate is 0.0012818 and the single-lag model
1311
coefficient estimate is 0.0006479. The ratio of these estimates is
1312
1.9784. This adjustment factor is then multiplied by the estimated
1313
coefficients from the Schwartz et al. (1996) study. There are two
1314
relevant coefficients from the Schwartz et al. (1996) study, one
1315
corresponding to all-cause mortality, and one corresponding to
1316
chronic obstructive pulmonary disease (COPD) mortality (separation
1317
by cause is necessary to implement the life years lost approach
1318
detailed below). The adjusted estimates for these two C-R functions
1319
are:
1320
All cause mortality = 0.001489 * 1.9784 = 0.002946
1321
COPD mortality = 0.003246 * 1.9784 = 0.006422
1322
Note that these estimates, while approximating the full impact
1323
of daily pollution levels on daily death counts, do not capture any
1324
impacts of long-term exposure to air pollution. As discussed
1325
earlier, EPA's Science Advisory Board, while acknowledging the
1326
uncertainties in estimation of a PM-mortality relationship, has
1327
repeatedly recommended the use of a study that
1328
13 As discussed above, based on recent preliminary findings from
1329
the Health Effects Institute, the magnitude of mortality from
1330
shorttern exposure (Alternative Estimate) and hospital/ER
1331
admissions estimates (both estimates) may be either under or
1332
overestimated by an uncertain amount.
1333
does reflect the impacts of long-term exposure. The omission of
1334
long-term impacts accounts for approximately 40 percent reduction
1335
in the estimate of avoided premature mortality in the Alternative
1336
Estimate relative to the Base Estimate.
1337
Chronic Bronchitis
1338
Chronic bronchitis is characterized by mucus in the lungs and a
1339
persistent wet cough for at least three months a year for several
1340
years in a row. Chronic bronchitis affects an estimated five
1341
percent of the U.S. population (American Lung Association, 1999). A
1342
limited number of studies have estimated the impact of air
1343
pollution on new incidences of chronic bronchitis. Schwartz (1993)
1344
and Abbey, et al. (1995) provide evidence that long-term PM
1345
exposure leads to the development of chronic bronchitis in the U.S.
1346
Following the same approaches of the Heavy-Duty Engine/Diesel Fuel
1347
RIA (U.S. EPA, 2000b) and the Section 812 Prospective Report (US
1348
EPA, 1999a), this analysis pooled estimates from these two studies
1349
to develop a C-R function linking PM to chronic bronchitis. The
1350
Schwartz (1993) study examined the relationship between exposure to
1351
PM10 and prevalence of chronic bronchitis. The Abbey, et al. (1995)
1352
study examined the relationship between PM2.5 and new incidences of
1353
chronic bronchitis. Both studies have strengths and weaknesses,
1354
which suggest that pooling the effect estimates from each study,
1355
may provide a better estimate of the expected change in incidences
1356
of chronic bronchitis than using either study alone.
1357
It should be noted that Schwartz used data on the prevalence of
1358
chronic bronchitis, not its incidence. Following the approach of
1359
the Section 812 Prospective Report, we estimated the percentage
1360
change in the prevalence rate for chronic bronchitis using the
1361
estimated coefficient from Schwartz's study in a C-R function, and
1362
then applied this percentage change to a baseline incidence rate
1363
obtained from another source. For example, if the prevalence
1364
declines by 25 percent with a drop in PM, then baseline incidence
1365
drops by 25 percent with the same drop in PM.
1366
Visibility Benefits
1367
As the name chosen for the Clear Skies Act implies, one of the
1368
direct consequences of the reductions in fine particles that
1369
accompany implementation of the SO2 and NOx emissions caps is an
1370
improvement in atmospheric clarity and visibility. Changes in the
1371
emissions of SO2 and NOx caused by the Clear Skies Act will change
1372
the level of visibility in much of the U.S by reducing
1373
concentrations of sulfate and nitrate particles. Fine particles
1374
absorb and scatter light, impairing visibility. Visibility directly
1375
affects people's enjoyment of a variety of daily activities both in
1376
the places they live and work and in the places they travel to for
1377
recreation. The Clean Air Act recognizes visibility as an important
1378
public good in naming visibility as one of the aspects of public
1379
welfare to be protected in setting secondary NAAQS. In Sections 165
1380
and 169, the Act places particular value on protecting visibility
1381
in 156 national parks and wilderness areas (e.g. Shenandoah,
1382
Acadia, and Grand Canyon) that are termed class I Federal areas. As
1383
noted above, the REMSAD modeling estimates regional and national
1384
visibility improvements associated with Clear Skies. As discussed
1385
in a subsequent section, this analysis also provides partial
1386
estimates of the potential economic value of these visibility
1387
improvements.
1388
A number of related measures can be used to measure changes in
1389
visibility associated with reduced fine particle concentrations. A
1390
key such measure is light "extinction," a measure of the amount of
1391
light scattered and absorbed by particles suspended in air. This
1392
light scattering and absorption reduces atmospheric clarity and is
1393
perceived as haze. Changes in fine particulate mass components are
1394
used directly to estimate changes in extinction. Decreasing
1395
extinction (in units of inverse distance) can in turn be used to
1396
estimate quantitative measures more directly related to human
1397
perception such as contrast of distant targets and visual range.
1398
More recently, Sisler (1996) created a unitless measure of
1399
visibility based directly on the degree of measured light
1400
absorption called the deciview. Deciviews, like the analagous term
1401
decibel, employ a logarithmic scale to evaluate relative changes in
1402
visibility that is more directly related to human perception.
1403
Sisler characterized a change in light extinction of one deciview
1404
as "a small but perceptible scenic change under many
1405
circumstances." For this analysis, REMSAD version 6.40 was used to
1406
predict the change in visibility, measured in deciviews and
1407
presented graphically, of the areas affected by the Clear Skies
1408
Act.
1409
1410
1411
1412
Economic Valuation of Benefits
1413
The overall approach applied in our estimates of the benefits of
1414
the Clear Skies Act closely parallels that used in prior EPA
1415
analyses, including the Section 812 series of Reports to Congress
1416
(U.S. EPA, 1996 and 1999) and the recent Heavy-Duty Engine/Diesel
1417
Fuel RIA (U.S. EPA, 2000b). As in those analyses, the EPA has not
1418
conducted extensive new primary research to measure economic
1419
benefits for individual rulemakings. As a result, our estimates are
1420
based on the best available methods of benefits transfer. Benefits
1421
transfer is the science and art of adapting primary benefits
1422
research from similar contexts to obtain the most accurate measure
1423
of benefits for the environmental quality change under analysis.
1424
Where appropriate, we have made adjustments to existing primary
1425
research for the level of environmental quality change, the
1426
sociodemographic and economic characteristics of the affected
1427
population, and other factors in order to improve the accuracy and
1428
robustness of benefits estimates.
1429
In general, economists tend to view an individual's
1430
willingness-to-pay (WTP) for an improvement in environmental
1431
quality as the most complete and appropriate measure of the value
1432
of an environmental or health risk reduction. An individual's
1433
willingness-to-accept (WTA) compensation for not receiving the
1434
improvement is also a valid measure. Willingness to pay and
1435
Willingness to accept are comparable measures when the change in
1436
environmental quality is small and there are reasonably close
1437
substitutes available. However, WTP is generally considered to be a
1438
more readily measurable and conservative measure of benefits.
1439
Adoption of WTP as the measure of value implies that the value of
1440
environmental quality improvements is dependent on the individual
1441
preferences of the affected population and that the existing
1442
distribution of income (ability to pay) is appropriate.
1443
Our analysis relies on up-to-date reviews of the relevant
1444
resource economics literature that provides WTP values for health
1445
risk reductions and visibility improvements similar to those that
1446
will be provided by implementation of the Clear Skies Act. Exhibit
1447
8 provides a summary of the base WTP values used to generate
1448
estimates of the economic value of avoided health effects for this
1449
analysis, adjusted to 1999 dollars, and a brief description of the
1450
basis for these values. Exhibit 9 provides a summary of the
1451
monetary values for the Alternative Estimate used for economic
1452
valuation of mortality and chronic bronchitis. For these two
1453
endpoints, the Alternative Estimate valuation differs from the Base
1454
Estimate values.
1455
In the sections that follow, we discuss in greater detail the
1456
basis for generating WTP for premature mortality risk reductions
1457
and WTP for reductions in the risk of contracting chronic
1458
bronchitis and the basis for making adjustments to unit values to
1459
make them more applicable to the air pollution reductions we
1460
anticipate from the Clear Skies Act. The mortality and chronic
1461
bronchitis health endpoints are the most influential in our
1462
estimation of monetized benefits, because they account for over 95
1463
percent of the total estimated monetized benefits of the Clear
1464
Skies Act. In addition, we provide a brief summary of our approach
1465
to valuing visibility and agricultural yield improvements. Detailed
1466
descriptions of the basis for other economic valuation methods can
1467
be found in Chapter VII of EPA's Heavy-Duty Engine/Diesel Fuel RIA
1468
(U.S. EPA, 2000b).
1469
Exhibit 8 Unit Values Used for Economic Valuation of Health
1470
Endpoints
1471
Estimated Value Health or Welfare Per Incidence
1472
Endpoint (1999$) Derivation of Estimates Base Estimate
1473
Premature Mortality
1474
1475
Value is the mean of a generated distribution of WTP to avoid a
1476
Chronic Bronchitis (Base) $331,000 per case of pollution-related
1477
CB. WTP to avoid a case of pollution
1478
2
1479
caserelated CB is derived by adjusting WTP (as described in
1480
Viscusi et al., 1991) to avoid a severe case of CB for the
1481
difference in severity and taking into account the elasticity of
1482
WTP with respect to severity of CB.
1483
Cost of Illness (COI) estimate is based on Cropper and Krupnick
1484
Chronic Bronchitis (Alternative) $107,000 per case (1990).
1485
1486
Hospital Admissions
1487
Chronic Obstructive Pulmonary Disease (COPD) $12,378 (ICD codes
1488
490-492, 494-496)
1489
Pneumonia
1490
$14,693 Cost of Illness (COI) estimates are based on ICD-9 code
1491
level(ICD codes 480-487) information (e.g., average hospital care
1492
costs, average length of hospital stay, and weighted share of total
1493
COPD category illnesses) Asthma admissions $6,633 reported in
1494
Elixhauser (1993).
1495
All Cardiovascular (ICD codes 390-429) $18,387
1496
All Respiratory Variable
1497
Dysrhythmia $12,441
1498
Emergency room visits for $299 COI estimate based on data
1499
reported by Smith, et al. (1997). asthma
1500
1501
1502
Respiratory Ailments Not Requiring Hospitalization
1503
Upper Respiratory Symptoms $24 per case3 (URS)
1504
Combinations of the 3 symptoms for which WTP estimates are
1505
available that closely match those listed by Pope, et al. result in
1506
7 different "symptom clusters," each describing a "type" of URS. A
1507
dollar value was derived for each type of URS, using mid-range
1508
estimates of WTP (IEc, 1994) to avoid each symptom in the cluster
1509
and assuming WTPs are additive. The dollar value for URS is the
1510
average of the dollar values for the 7 different types of URS.
1511
Lower Respiratory Symptoms $15 per case3 (LRS)
1512
Combinations of the 4 symptoms for which WTP estimates are
1513
available that closely match those listed by Schwartz, et al.
1514
result in 11 different "symptom clusters," each describing a "type"
1515
of LRS. A dollar value was derived for each type of LRS, using
1516
mid-range estimates of WTP (IEc, 1994) to avoid each symptom in the
1517
cluster and assuming WTPs are additive. The dollar value for LRS is
1518
the average of the dollar values for the 11 different types of
1519
LRS.
1520
Acute Bronchitis $57 per case3 Average of low and high values
1521
recommended for use in Section 812 analysis (Neumann, et al.
1522
1994)
1523
Exhibit 8 Unit Values Used for Economic Valuation of Health
1524
Endpoints
1525
Estimated Value Health or Welfare Per Incidence Derivation of
1526
Estimates
1527
Endpoint (1999$) Base Estimate
1528
1529
1530
Restricted Activity and Work Loss Days
1531
Work Loss Days (WLDs) $105.83 per case4 Regionally adjusted
1532
median weekly wage for 1990 divided by 5 (adjusted to 1999$) (US
1533
Bureau of the Census, 1992).
1534
Minor Restricted Activity Days $48 per case3 Median WTP estimate
1535
to avoid one MRAD from Tolley, et al. (1986). (MRADs)
1536
1 This value does not reflect the 5-year lag adjustment and the
1537
adjustment for changes in real income over time that are included
1538
in the mortality valuation in our national benefits summaries. The
1539
lag adjustment distributes the mortality incidence over five years
1540
(25 percent in each of the first two years, and 17 percent for each
1541
of the remaining years) and discounts mortality benefits over this
1542
period at a rate of three percent. The adjustment to the mortality
1543
unit valuation for growth in real income in 2020 is achieved using
1544
an adjustment factor of 1.278.2 This value does not reflect the
1545
adjustment for changes in real income over time that is included in
1546
the chronic bronchitis valuation in our national benefits
1547
summaries. The adjustment to the chronic bronchitis unit valuation
1548
for growth in real income in 2020 is achieved using an adjustment
1549
factor of 1.319. 3 These values do not reflect the adjustment for
1550
changes in real income over time that is included in the benefit
1551
valuations in our national benefits summaries. The adjustment to
1552
the unit valuations of these endpoints for growth in real income in
1553
2020 is achieved using an adjustment factor of 1.089. 4 The value
1554
of a Work Loss Day presented here represents the national median.
1555
The valuation of Work Loss Days presented in our national benefits
1556
summaries, however, incorporates county-specific adjustment factors
1557
to account for variations in regional income.
1558
Valuation of Premature Mortality
1559
1. Base Estimate
1560
The monetary benefit of reducing premature mortality risk was
1561
estimated using the "value of statistical lives saved" (VSL)
1562
approach, although the actual valuation is of small changes in
1563
mortality risk experienced by a large number of people. The VSL
1564
approach applies information from several published value-of-life
1565
studies, which themselves examine tradeoffs of monetary
1566
compensation for small additional mortality risks, to determine a
1567
reasonable benefit of preventing premature mortality. The mean
1568
value of avoiding one statistical death (i.e., the statistical
1569
incidence of a single death, equivalent to a product of a
1570
population risk times a population size that equals one) is
1571
estimated to be $6 million in 1999 dollars. This represents an
1572
intermediate value from a range of estimates that appear in the
1573
economics literature, and it is a value the EPA uses in rulemaking
1574
support analyses and in the Section 812 Reports to Congress.
1575
This estimate is the mean of a distribution fitted to the
1576
estimates from 26 value-of-life studies identified in the Section
1577
812 reports as "applicable to policy analysis." The approach and
1578
set of selected studies mirrors that of Viscusi (1992) (with the
1579
addition of two studies), and uses the same criteria as Viscusi in
1580
his review of value-of-life studies. The $6 million estimate is
1581
consistent with Viscusi's conclusion (updated to 1999$) that "most
1582
of the reasonable estimates of the value of life are clustered in
1583
the $3.7 to $8.6 million range." Five of the 26 studies are
1584
contingent valuation (CV) studies, which directly solicit WTP
1585
information from subjects; the rest are wage-risk studies, which
1586
base WTP estimates on estimates of the additional compensation
1587
demanded in the labor market for riskier jobs, controlling for
1588
other job and employee characteristics such as education and
1589
experience. As indicated in the previous section on quantification
1590
of premature mortality benefits, we assume for this analysis that
1591
some of the incidences of premature mortality related to PM
1592
exposures occur in a distributed fashion over the five years
1593
following exposure. To take this into account in the valuation of
1594
reductions in premature mortality, we apply an annual three percent
1595
discount rate to the value of premature mortality occurring in
1596
future years.14
1597
The economics literature concerning the appropriate method for
1598
valuing reductions in premature mortality risk is still developing.
1599
The adoption of a value for the projected reduction in the risk of
1600
premature mortality is the subject of continuing discussion within
1601
the economic and public policy analysis community. Regardless of
1602
the theoretical economic considerations, distinctions in the
1603
monetary value assigned to the lives saved were not drawn, even if
1604
populations differed in age, health status, socioeconomic status,
1605
gender or other characteristics.
1606
Following the advice of the EEAC of the SAB, the VSL approach
1607
was used to calculate the Base Estimate of mortality benefits
1608
(EPA-SAB-EEAC-00-013). While there are several differences between
1609
the risk context implicit in labor market studies we use to derive
1610
a VSL estimate and the particulate matter air pollution context
1611
addressed here, those differences in the affected populations and
1612
the nature of the risks imply both upward and downward adjustments.
1613
For example, adjusting for age differences between subjects in the
1614
economic studies and those affected by air pollution may imply the
1615
need to adjust the $6 million VSL downward, but the involuntary
1616
nature of air pollution-related risks and the lower level of
1617
risk-aversion of the manual laborers in the labor market studies
1618
may imply the need for upward adjustments. In certain cases, labor
1619
market studies have not adequately controlled for non-fatal injury
1620
risks and other unfavorable job attributes (e.g. dirt and noise).
1621
These factors may increase the estimated risk premium for
1622
reductions in premature mortality risk.
1623
Some economists emphasize that the value of a statistical life
1624
is not a single number relevant for all situations. Indeed, the VSL
1625
estimate of $6 million (1999 dollars) is itself the central
1626
tendency of a number of estimates of the VSL for some rather
1627
narrowly defined populations. When there are significant
1628
differences between the population affected by a particular health
1629
risk and the populations used in the labor market studies, as is
1630
the case here, some economists prefer to adjust the VSL estimate to
1631
reflect those differences. The CV-based estimates of VSL
1632
collectively may better represent the population affected by
1633
pollution than the labor market studies.
1634
There is general agreement that the value to an individual of a
1635
reduction in mortality risk can vary based on several factors,
1636
including the age of the individual, the type of risk, the level of
1637
control the individual has over the risk, the individual's
1638
attitudes towards risk, and the health status of the individual.
1639
While the empirical basis for adjusting the $6 million VSL for many
1640
of these factors does not yet exist, a thorough discussion of these
1641
uncertainties is included in EPA's Guidelines for Preparing
1642
Economic Analyses (U.S. EPA, 2000a). The EPA recognizes the need
1643
for investigation by the scientific community to develop additional
1644
empirical support for adjustments to VSL for the factors mentioned
1645
above.
1646
14 The choice of a discount rate, and its associated conceptual
1647
basis, is a topic of ongoing discussion within the federal
1648
government. We adopted a 3 percent discount rate for our Base
1649
analysis in this case to reflect reliance on a "social rate of time
1650
preference" discounting concept. We have also calculated benefits
1651
using a 7 percent rate consistent with an "opportunity cost of
1652
capital" concept to reflect the time value of resources directed to
1653
meet regulatory requirements. In this analysis, the benefit
1654
estimates were not significantly affected by the choice of discount
1655
rate. Further discussion of this topic appears in EPA's Guidelines
1656
for Preparing Economic Analyses, EPA 240-R-00-003, September
1657
2000.
1658
As further support for the Base Estimate, the SAB-EEAC advised
1659
in their recent report that the EPA "continue to use a
1660
wage-risk-based VSL as its Base Estimate, including appropriate
1661
sensitivity analyses to reflect the uncertainty of these
1662
estimates," and that "the only risk characteristic for which
1663
adjustments to the VSL can be made is the timing of the
1664
risk"(EPA-SAB-EEAC-00-013). In developing the Base Estimate of the
1665
benefits of premature mortality reductions, we have discounted over
1666
the lag period between exposure and premature mortality. However,
1667
in accordance with the SAB advice, we use the VSL in the Base
1668
Estimate and present age adjusted values in the tables of
1669
alternative calculations, Exhibit 12 and 13.
1670
2. Alternative Estimate
1671
The Alternative Estimate reflects the impact of changes to key
1672
assumptions associated with the valuation of mortality. These
1673
include: 1) the impact of using wage-risk and contingent
1674
valuation-based value of statistical life estimates in valuing risk
1675
reductions from air pollution as opposed to contingent
1676
valuation-based estimates alone, 2) the relationship between age
1677
and willingness-to-pay for fatal risk reductions, and 3) the degree
1678
of prematurity in mortalities from air pollution.
1679
The Alternative Estimate addresses this issue by using an
1680
estimate of the value of statistical life that is based only on the
1681
set of five contingent valuation studies included in the larger set
1682
of 26 studies recommended by Viscusi (1992) as applicable to policy
1683
analysis. The mean of the five contingent valuation based VSL
1684
estimates is $3.7 million (1999$), which is approximately 60
1685
percent of the mean value of the full set of 26 studies.
1686
The second issue is addressed by assuming that the relationship
1687
between age and willingness-to-pay for fatal risk reductions can be
1688
approximated using an adjustment factor derived from Jones-Lee
1689
(1989). The SAB has advised the EPA that the appropriate way to
1690
account for age differences is to obtain the values for risk
1691
reductions from the age groups affected by the risk reduction.
1692
Several studies have found a significant effect of age on the value
1693
of mortality risk reductions expressed by citizens in the United
1694
Kingdom (Jones-Lee et al., 1985; Jones-Lee, 1989; Jones-Lee,
1695
1993).
1696
Two of these studies provide the basis to form ratios of the WTP
1697
of different age cohorts to a base age cohort of 40 years. These
1698
ratios can be used to provide Alternative age-adjusted estimates of
1699
the value of avoided premature mortalities. One problem with both
1700
of the Jones-Lee studies is that they examine VSL for a limited age
1701
range. They then fit VSL as a function of age and extrapolate
1702
outside the range of the data to obtain ratios for the very old.
1703
Unfortunately, because VSL is specified as quadratic in age,
1704
extrapolation beyond the range of the data can lead to a very
1705
severe decline in VSL at ages beyond 75.
1706
A simpler and potentially less biased approach is to simply
1707
apply a single age adjustment based on whether the individual was
1708
over or under 65 years of age at the time of death. This is
1709
consistent with the range of observed ages in the Jones-Lee studies
1710
and also agrees with the findings of more recent studies by
1711
Krupnick et al. (2000) that the only significant difference in WTP
1712
is between the over 70 and under 70 age groups. To correct for the
1713
potential extrapolation error for ages beyond 70, the adjustment
1714
factor is selected as the ratio of a 70 year old individual's WTP
1715
to a 40 year old individual's WTP, which is 0.63, based on the
1716
Jones-Lee (1989) results and 0.92 based on the Jones-Lee (1993)
1717
results. To show the maximum impact of the age adjustment, the
1718
Alternative Estimate is based on the Jones-Lee (1989) adjustment
1719
factor of 0.63, which yields a VSL of $2.3 million for populations
1720
over the age of 70. Deaths of individuals under the age of 70 are
1721
valued using the unadjusted mean VSL value of $3.7 million (1999$).
1722
Since these are acute mortalities, it is assumed that there is no
1723
lag between reduced exposure and reduced risk of mortality.
1724
Jones-Lee and Krupnick may understate the effect of age because
1725
they only control for income and do not control for wealth. While
1726
there is no empirical evidence to support or reject hypotheses
1727
regarding wealth and observed WTP, WTP for additional life years by
1728
the elderly may in part reflect their wealth position vis a vis
1729
middle age respondents.
1730
The third issue is addressed by assuming that deaths from
1731
chronic obstructive pulmonary disease (COPD) are advanced by 6
1732
months, and deaths from all other causes are advanced by 5 years.
1733
These reductions in life years lost are applied regardless of the
1734
age at death. Actuarial evidence suggests that individuals with
1735
serious preexisting cardiovascular conditions have a remaining life
1736
expectancy of around 5 years. While many deaths from daily exposure
1737
to PM may occur in individuals with cardiovascular disease, studies
1738
have shown relationships between all cause mortality and PM, and
1739
between PM and mortality from pneumonia (Schwartz, 2000). In
1740
addition, recent studies have shown a relationship between PM and
1741
non-fatal heart attacks, which suggests that some of the deaths due
1742
to PM may be due to fatal heart attacks (Peters et al., 2001). And,
1743
a recent meta-analysis has shown little effect of age on the
1744
relative risk from PM exposure (Stieb et al. 2002), which suggests
1745
that the number of deaths in non-elderly populations (and thus the
1746
potential for greater loss of life years) may be significant.
1747
Indeed, this analysis estimates that 21 percent of non-COPD
1748
premature deaths avoided are in populations under 65. Thus, while
1749
the assumption of 5 years of life lost may be appropriate for a
1750
subset of total avoided premature mortalities, it may over or
1751
underestimate the degree of life shortening attributable to PM for
1752
the remaining deaths."
1753
In order to value the expected life years lost for COPD and
1754
non-COPD deaths, we need to construct estimates of the value of a
1755
statistical life year. The value of a life year varies based on the
1756
age at death, due to the differences in the base VSL between the 65
1757
and older population and the under 65 population. The valuation
1758
approach used is a value of statistical life years (VSLY) approach,
1759
based on amortizing the base VSL for each age cohort. Previous
1760
applications have arrived at a single value per life year based on
1761
the discounted stream of values that correspond to the VSL for a 40
1762
year old worker (U.S. EPA, 1999a). This assumes 35 years of life
1763
lost is the base value associated with the mean VSL value of $3.7
1764
million (1999$). The VSLY associated with the $3.7 million VSL is
1765
$163,000, annualized assuming EPA's guideline value of a 3 percent
1766
discount rate, or $270,000, annualized assuming OMB's guideline
1767
value of a 7 percent discount rate. The VSL applied in this
1768
analysis is then built up from that VSLY by taking the present
1769
value of the stream of life years, again assuming a 3% discount
1770
rate. Thus, if you assume that a 40 year-old dying from pneumonia
1771
would lose 5 years of life, the VSL applied to that death would be
1772
$0.79 million. For populations over age 65, we then develop a VSLY
1773
from the age-adjusted base VSL of $2.3 million. Given an assumed
1774
remaining life expectancy of 10 years, this gives a VSLY of
1775
$258,000, assuming a 3 percent discount rate. Again, the VSL is
1776
built based on the present value of 5 years of lost life, so in
1777
this case, we have a 70 year old individual dying from pneumonia
1778
losing 5 years of life, implying an estimated VSL of $1.25 million.
1779
As a final step, these estimated VSL values are multiplied by the
1780
appropriate adjustment factors to account for changes in WTP over
1781
time, as outlined above.
1782
Applying the VSLY approach to the four categories of acute
1783
mortality results in four separate sets of values for an avoided
1784
premature mortality based on age and cause of death. Non-COPD
1785
deaths for populations aged 65 and older are valued at $1.4 million
1786
per incidence in 2010, and $1.6 million in 2020. Non-COPD deaths
1787
for populations aged 64 and younger are valued at $0.88 million per
1788
incidence in 2010, and $1.0 million in 2020. COPD deaths for
1789
populations aged 65 and older are valued at $0.15 million per
1790
incidence in 2010, and $0.17 million in 2020. Finally, COPD deaths
1791
for populations aged 64 and younger are valued at $0.096 million
1792
per incidence in 2010, and $0.11 million in 2020. The implied VSL
1793
for younger populations is less than that for older populations
1794
because the value per life year is higher for older populations.
1795
Since we assume that there is a 5-year loss in life years for a PM
1796
related mortality, regardless of the age of person dying, this
1797
necessarily leads to a lower VSL for younger populations.
1798
Valuation of Avoided Cases of Chronic Bronchitis
1799
1. Base Estimate
1800
The best available estimate of WTP to avoid a case of chronic
1801
bronchitis (CB) comes from Viscusi, et al. (1991). The Viscusi, et
1802
al. study, however, describes a severe case of CB to the survey
1803
respondents. We therefore employ an estimate of WTP to avoid a
1804
pollution-related case of CB, based on adjusting the Viscusi, et
1805
al. (1991) estimate of the WTP to avoid a severe case. This is done
1806
to account for the likelihood that an average case of
1807
pollution-related CB is not as severe. The adjustment is made by
1808
applying the elasticity of WTP with respect to severity reported in
1809
the Krupnick and Cropper (1992) study. Details of this adjustment
1810
procedure can be found in the Heavy-Duty Engine/Diesel Fuel RIA and
1811
its supporting documentation, and in the most recent Section 812
1812
study (EPA 1999).
1813
We use the mean of a distribution of WTP estimates as the
1814
central tendency estimate of WTP to avoid a pollution-related case
1815
of CB in this analysis. The distribution incorporates uncertainty
1816
from three sources: (1) the WTP to avoid a case of severe CB, as
1817
described by Viscusi, et al.; (2) the severity level of an average
1818
pollution-related case of CB (relative to that of the case
1819
described by Viscusi, et al.); and (3) the elasticity of WTP with
1820
respect to severity of the illness. Based on assumptions about the
1821
distributions of each of these three uncertain components, we
1822
derive a distribution of WTP to avoid a pollution-related case of
1823
CB by statistical uncertainty analysis techniques. The expected
1824
value (i.e., mean) of this distribution, which is about $331,000
1825
(1999$), is taken as the central tendency estimate of WTP to avoid
1826
a PM-related case of CB.
1827
2. Alternative Estimate
1828
For the Alternative Estimate, a cost-of illness value is used in
1829
place of willingness-to-pay to reflect uncertainty about the value
1830
of reductions in incidences of chronic bronchitis. In the Base
1831
Estimate, the willingness-to-pay estimate was derived from two
1832
contingent valuation studies (Viscusi et al., 1991; Krupnick and
1833
Cropper, 1992). These studies were experimental studies intended to
1834
examine new methodologies for eliciting values for morbidity
1835
endpoints. Although these studies were not specifically designed
1836
for policy analysis, the SAB (EPA-SAB-COUNCIL-ADV-00-002, 1999) has
1837
indicated that the severity-adjusted values from this study provide
1838
reasonable estimates of the WTP for avoidance of chronic
1839
bronchitis. As with other contingent valuation studies, the
1840
reliability of the WTP estimates depends on the methods used to
1841
obtain the WTP values. In order to investigate the impact of using
1842
the CV based WTP estimates, the Alternative Estimate relies on a
1843
value for incidence of chronic bronchitis using a cost-of-illness
1844
estimate based Cropper and Krupnick (1990) which calculates the
1845
present value of the lifetime expected costs associated with the
1846
illness. The current cost-of-illness (COI) estimate for chronic
1847
bronchitis is around $107,000 per case, compared with the current
1848
WTP estimate of $330,000.
1849
Valuation of Changes in Visibility
1850
Estimating benefits for visibility is a more difficult and less
1851
precise exercise than estimating health benefits because the
1852
endpoints are not directly or indirectly valued in markets. The
1853
contingent valuation (CV) method has been employed in the economics
1854
literature to value endpoint changes for visibility (Chestnut and
1855
Rowe, 1990a, 1990b; Chestnut and Dennis, 1997). The CV method
1856
values endpoints by using carefully structured surveys to ask a
1857
sample of people what amount of compensation is equivalent to a
1858
given change in environmental quality. There is an extensive
1859
scientific literature and body of practice on both the theory and
1860
technique of CV. The EPA believes that well-designed and
1861
well-executed CV studies are valid for estimating the benefits of
1862
air quality regulation. 15
1863
Individuals value visibility both in the places they live and
1864
work (referred to as residential visibility), and in the places
1865
they travel to for recreational purposes (referred to as
1866
recreational visibility). Although CV studies that address both
1867
types of visibility exist, in our analysis we rely only on
1868
recreational visibility studies, as explained further below.
1869
We considered benefits from two categories of visibility
1870
changes: residential visibility and recreational visibility.
1871
Residential visibility benefits are those that occur from
1872
visibility changes in urban, suburban, and rural areas, and also in
1873
recreational areas not listed as federal Class I areas.16 For the
1874
purposes of this analysis, recreational visibility improvements are
1875
defined as those that occur specifically in federal Class I areas.
1876
A key distinction between recreational and residential benefits is
1877
that only those people living in residential areas are assumed to
1878
receive benefits from residential visibility, while all households
1879
in the U.S. are assumed to derive some benefit from improvements in
1880
Class I areas.
1881
Only two existing studies provide defensible monetary estimates
1882
of the value of visibility
1883
15Concerns about the reliability of value estimates from CV
1884
studies arose because research has shown that bias can be
1885
introduced easily into these studies if they are not carefully
1886
conducted. Accurately measuring WTP for avoided health and welfare
1887
losses depends on the reliability and validity of the data
1888
collected. There are several issues to consider when evaluating
1889
study quality, including but not limited to 1) whether the sample
1890
estimates of WTP are representative of the population WTP; 2)
1891
whether the good to be valued is comprehended and accepted by the
1892
respondent; 3) whether the WTP elicitation format is designed to
1893
minimize strategic responses; 4) whether WTP is sensitive to
1894
respondent familiarity with the good, to the size of the change in
1895
the good, and to income; 5) whether the estimates of WTP are
1896
broadly consistent with other estimates of WTP for similar goods;
1897
and 6) the extent to which WTP responses are consistent with
1898
established economic principles.
1899
16
1900
The Clean Air Act designates 156 national parks and wilderness
1901
areas as Class I areas for visibility protection.
1902
changes. One is a study on residential visibility conducted in
1903
1990 (McClelland, et. al., 1993) and the other is a 1988 survey on
1904
recreational visibility value (Chestnut and Rowe, 1990a; 1990b).
1905
Both utilize the contingent valuation method. There has been a
1906
great deal of controversy and significant development of both
1907
theoretical and empirical knowledge about how to conduct CV surveys
1908
in the past decade. In EPA's judgment, the Chestnut and Rowe study
1909
contains many of the elements of a valid CV study and is
1910
sufficiently reliable to serve as the basis for monetary estimates
1911
of the benefits of visibility changes in recreational areas.17 This
1912
study serves as an essential input to our estimates of the benefits
1913
of recreational visibility improvements. Consistent with SAB
1914
advice, the EPA has designated the McClelland, et al. study as
1915
significantly less reliable for regulatory benefit-cost analysis,
1916
although it does provide useful estimates on the order of magnitude
1917
of residential visibility benefits (EPA-SAB-COUNCIL-ADV-00-002,
1918
1999). Residential visibility benefits are therefore only included
1919
as part of our sensitivity tests. The methods for this calculation
1920
are similar to the procedure for recreational benefits.
1921
The Chestnut and Rowe study measured the demand for visibility
1922
in Class I areas managed by the National Park Service (NPS) in
1923
three broad regions of the country: California, the Southwest, and
1924
the Southeast. Respondents in five states were asked about their
1925
willingness to pay to protect national parks or NPS-managed
1926
wilderness areas within a particular region. The survey used
1927
photographs reflecting different visibility levels in the specified
1928
recreational areas. The visibility levels in these photographs were
1929
later converted to deciviews for the current analysis. The survey
1930
data collected were used to estimate a WTP equation for improved
1931
visibility. In addition to the visibility change variable, the
1932
estimating equation also included household income as an
1933
explanatory variable.
1934
The Chestnut and Rowe study did not measure values for
1935
visibility improvement in Class I areas outside the three regions.
1936
Their study covered 86 of the 156 Class I areas in the U.S. We can
1937
infer the value of visibility changes in the other Class I areas by
1938
transferring values of visibility changes at Class I areas in the
1939
study regions. However, these values are not as defensible and are
1940
thus presented only as a sensitivity calculation.
1941
The estimated relationship from the Che stnut and Rowe study is
1942
only directly applicable to the populations represented by survey
1943
respondents. We used benefits transfer methods to extrapolate these
1944
results to the population affected by the Clear Skies Act. A
1945
general willingness
1946
17
1947
An SAB advisory letter indicates that "many members of the
1948
Council believe that the Chestnut and Rowe study is the best
1949
available." (EPA-SAB-COUNCIL-ADV-00-002, 1999) However, the
1950
committee did not formally approve use of these estimates because
1951
of concerns about the peer-reviewed status of the study. EPA
1952
believes the study has received adequate review and has been cited
1953
in numerous peerreviewed publications (Chestnut and Dennis,
1954
1997).
1955
to pay equation for improved visibility (measured in deciviews)
1956
was developed as a function of the baseline level of visibility,
1957
the magnitude of the visibility improvement, and household income.
1958
The behavioral parameters of this equation were taken from analysis
1959
of the Chestnut and Rowe data. These parameters were used to
1960
calibrate WTP for the visibility changes resulting from the Clear
1961
Skies Act. The method for developing calibrated WTP functions is
1962
based on the approach developed by Smith, et al. (1999). Available
1963
evidence indicates that households are willing to pay more for a
1964
given visibility improvement as their income increases (Chestnut,
1965
1997). The benefits estimates here incorporate Chestnut's estimate
1966
that a one percent increase in income is associated with a 0.9
1967
percent increase in WTP for a given change in visibility.
1968
For the sensitivity test calculation for residential visibility,
1969
the McClelland, et al. study's results were used to calculate the
1970
parameter to measure the effect of deciview changes on WTP. The WTP
1971
equation was then run for the population affected by the Clear
1972
Skies Act.
1973
Agricultural Benefits
1974
The Ozone Criteria Document notes that "ozone affects vegetation
1975
throughout the United States, impairing crops, native vegetation,
1976
and ecosystems more than any other air pollutant" (US EPA, 1996).
1977
Reduced levels of ground-level ozone resulting from the final Clear
1978
Skies Act will have generally beneficial results on agricultural
1979
crop yields and commercial forest growth. Welldeveloped techniques
1980
exist to provide monetary estimates of these benefits to
1981
agricultural producers and consumers. These techniques use models
1982
of planting decisions, yield response functions, and agricultural
1983
product supply and demand. The resulting welfare measures are based
1984
on predicted changes in market prices and production costs.
1985
Laboratory and field experiments have shown reductions in yields
1986
for agronomic crops exposed to ozone, including vegetables (e.g.,
1987
lettuce) and field crops (e.g., cotton and wheat). The most
1988
extensive field experiments, conducted under the National Crop Loss
1989
Assessment Network (NCLAN), examined 15 species and numerous
1990
cultivars. The NCLAN results show that "several economically
1991
important crop species are sensitive to ozone levels typical of
1992
those found in the U.S." (US EPA, 1996). In addition, economic
1993
studies have shown a relationship between observed ozone levels and
1994
crop yields (Garcia, et al., 1986).
1995
To estimate changes in crop yields, we used biological
1996
exposure-response information derived from controlled experiments
1997
conducted by the NCLAN (NCLAN, 1996). For the purpose of our
1998
analysis, we analyze changes for the six most economically
1999
significant crops for which C-R functions are available: corn,
2000
cotton, peanuts, sorghum, soybean, and winter wheat.18 For some
2001
crops there are multiple C-R functions, some more sensitive to
2002
ozone and some less. Our estimate assumes that crops are evenly
2003
mixed between relatively sensitive and relatively insensitive
2004
varieties.
2005
We analyzed the economic value associated with varying levels of
2006
yield loss for ozonesensitive commodity crops using the AGSIM©
2007
agricultural benefits model (Taylor, et al., 1993). AGSIM© is an
2008
econometric-simulation model that is based on a large set of
2009
statistically
2010
18 The total value for these crops in 1998 was $47 billion.
2011
40
2012
estimated demand and supply equations for agricultural
2013
commodities produced in the United States. The model is capable of
2014
analyzing the effects of changes in policies that affect commodity
2015
crop yields or production costs.19
2016
The measure of benefits calculated by the model is the net
2017
change in consumer and producer surplus from baseline ozone
2018
concentrations to the ozone concentrations resulting from
2019
attainment of particular standards. Using the baseline and
2020
post-control equilibria, the model calculates the change in net
2021
consumer and producer surplus on a crop-by-crop basis.20 Dollar
2022
values are aggregated across crops for each standard. The total
2023
dollar value represents a measure of the change in social welfare
2024
associated with implementation of the Clear Skies Act.
2025
Adjustments for Changes in Income Over Time
2026
Recent SAB deliberations on mortality and morbidity valuation
2027
approaches suggest that some adjustments to unit values are
2028
appropriate to reflect economic theory (EPA-SAB-EEAC-00-013, 2000).
2029
As noted above, we apply one adjustment by discounting lagged
2030
mortality incidence effects. A second adjustment is conducted as
2031
part of the mortality, morbidity, and visibility valuation
2032
procedures to incorporate the effect of changes in income over time
2033
on WTP. To estimate the effects of changes in income over time we
2034
use a procedure originally outlined in Appendix H of the Section
2035
812 Prospective Report to Congress (EPA 1999). That procedure uses
2036
per capita income estimates generated from Federal Government
2037
projections of income and population growth, and applies three
2038
different income elasticities for mortality, severe morbidity, and
2039
light symptom effects.21
2040
Benefits for each of the categories - minor health effects,
2041
severe and chronic health effects (which include chronic bronchitis
2042
and premature mortality), and visibility - were adjusted by
2043
multiplying the unadjusted benefits by the appropriate adjustment
2044
factor, listed in Exhibit 10 below.
2045
19AGSIM© is designed to forecast agricultural supply and demand
2046
out to 2010. We were not able to adapt the model to forecast out to
2047
2020. Instead, we apply percentage increases in yields from
2048
decreased ambient ozone levels in 2020 to 2010 yield levels, and
2049
input these into an agricultural sector model held at 2010 levels
2050
of demand and supply. It is uncertain what impact this assumption
2051
will have on net changes in surplus.
2052
20 Agricultural benefits differ from other health and welfare
2053
endpoints in the length of the assumed ozone season. For
2054
agriculture, the ozone season is assumed to extend from April to
2055
September. This assumption is made to ensure proper calculation of
2056
the ozone statistic used in the exposure-response functions. The
2057
only crop affected by changes in ozone during April is winter
2058
wheat.
2059
21 Note that the Environmental Economics Advisory Committee
2060
(EEAC) of the SAB advised EPA to adjust WTP for increases in real
2061
income over time, but not to adjust WTP to account for
2062
cross-sectional income differences "because of the sensitivity of
2063
making such distinctions, and because of insufficient evidence
2064
available at present" (EPA-SAB-EEAC-00-013).
2065
Exhibit 10 Adjustment Factors Used to Account for Projected Real
2066
Income Growth through 2010 and 2020
2067
Benefit Adjustment Factor Adjustment Factor Category (2010)
2068
(2020)
2069
Minor Health Effect 1.038 1.089
2070
Severe and Chronic Health Effects 1.127 1.319
2071
Premature Mortality 1.112 1.278
2072
Visibility 1.272 1.758
2073
The procedure used to develop these adjustment factors is
2074
described in more detail in the Heavy-Duty Engine/Diesel Fuel RIA
2075
(U.S. EPA, 2000b). Also note that no adjustments were made to
2076
benefits based on the cost-of-illness approach or to work loss
2077
days. This assumption will also lead us to underpredict benefits
2078
since it is likely that increases in real U.S. income would also
2079
result in increased cost-of-illness (due, for example, to increases
2080
in wages paid to medical workers) and increased cost of work loss
2081
days (reflecting that if worker incomes are higher, the losses
2082
resulting from reduced worker production would also be higher). The
2083
result of applying these adjustment factors is an updated set of
2084
unit economic values used in the valuation step. We summarize these
2085
adjusted values in Exhibit 11.
2086
42
2087
Endpoint Pollutant Valuation per case Valuation per case (2010
2088
mean est.) (2020 mean est.)
2089
2090
2091
2092
1 This value reflects both the 5-year lag adjustment and the
2093
adjustments for changes in real income over time that are included
2094
in the mortality valuation in our national benefits summaries. The
2095
lag adjustment distributes the mortality incidence over five years
2096
(25 percent in each of the first two years, and 17 percent for each
2097
of the remaining years) and discounts mortality benefits over this
2098
period at a rate of three percent. The adjustment to the mortality
2099
unit valuation for growth in real income in 2010 is achieved using
2100
an adjustment factor of 1.112. For 2020, the adjustment factor is
2101
1.278. 2 This value reflects the adjustment for changes in real
2102
income over time that is included in the chronic bronchitis
2103
valuation in our national benefits summaries. The adjustment to the
2104
chronic bronchitis unit valuation for growth in real income in 2010
2105
is achieved using an adjustment factor of 1.127. For 2020, the
2106
adjustment factor is 1.319. 3 These values reflect the adjustment
2107
for changes in real income over time that is included in the
2108
benefit valuations in our national benefits summaries. The
2109
adjustment to the unit valuations of these endpoints for growth in
2110
real income in 2010 is achieved using an adjustment factor of
2111
1.038. For 2020, the adjustment factor is 1.089. 4 The value of a
2112
Work Loss Day presented here represents the national median. The
2113
valuation of Work Loss Days presented in our national benefits
2114
summaries, however, incorporates county-specific adjustment factors
2115
to account for variations in regional income.
2116
Totals may not sum due to rounding.
2117
2118
2119
2120
III. MAJOR UNCERTAINTIES IN BENEFITS ANALYSIS
2121
The estimates of avoided health effects, improved visibility,
2122
and monetary benefits of the Clear Skies Act are based on a method
2123
that reflects peer-reviewed data, models, and approaches that are
2124
applied to support EPA rulemakings and generate Reports to Congress
2125
on the benefits of air pollution regulation. Although EPA has made
2126
a concerted effort to apply well-accepted methods, there remain
2127
significant uncertainties in the estimation of these benefits.
2128
There are three types of uncertainty that affect these
2129
estimates:
2130
2131
In the remainder of this section, we discuss the major sources
2132
of each of these three categories of uncertainty related to the
2133
estimate of avoided health effects, avoided ecological effects, and
2134
monetary valuation of these benefits. Our analysis of the Clear
2135
Skies Act has not included formal uncertainty analyses, although we
2136
have conducted several sensitivity tests and have analyzed a full
2137
Alternative Estimate.
2138
2139
2140
Uncertainties Associated with Health Benefit Estimates
2141
Within-Study Variation
2142
Within-study variation refers to the precision with which a
2143
given study estimates the relationship between air quality changes
2144
and health effects. Health effects studies provide both a "best
2145
estimate" of this relationship plus a measure of the statistical
2146
uncertainty of the relationship. This size of this uncertainty
2147
depends on factors such as the number of subjects studied and the
2148
size of the effect being measured. The results of even the most
2149
well designed epidemiological studies are characterized by this
2150
type of uncertainty, though well-designed studies typically report
2151
narrower uncertainty bounds around the best estimate than do
2152
studies of lesser quality. In selecting health endpoints, we
2153
generally focus on endpoints where a statistically significant
2154
relationship has been observed, which by definition assures a
2155
reasonably
2156
44
2157
tight confidence interval around the best estimate of the mean
2158
concentration-response relationship.
2159
Across-study Variation
2160
Across-study variation refers to the fact that different
2161
published studies of the same pollutant/health effect relationship
2162
typically do not report identical findings; in some instances the
2163
differences are substantial. These differences can exist even
2164
between equally reputable studies and may result in health effect
2165
estimates that vary considerably. Across-study variation can result
2166
from two possible causes. One possibility is that studies report
2167
different estimates of the single true relationship between a given
2168
pollutant and a health effect due to differences in study design,
2169
random chance, or other factors. For example, a hypothetical study
2170
conducted in New York and one conducted in Seattle may report
2171
different C-R functions for the relationship between PM and
2172
mortality, in part because of differences between these two study
2173
populations (e.g., demographics, activity patterns). Alternatively,
2174
study results may differ because these two studies are in fact
2175
estimating different relationships; that is, the same reduction in
2176
PM in New York and Seattle may result in different reductions in
2177
premature mortality. This may result from a number of factors, such
2178
as differences in the relative sensitivity of these two populations
2179
to PM pollution and differences in the composition of PM in these
2180
two locations.22 In either case, where we identified multiple
2181
studies that are appropriate for estimating a given health effect,
2182
we generated a pooled estimate of results from each of those
2183
studies.
2184
Application of C-R Relationship Nationwide
2185
Whether this analysis estimated the C-R relationship between a
2186
pollutant and a given health endpoint using a single function from
2187
a single study or using multiple C-R functions from several
2188
studies, each C-R relationship was applied uniformly throughout the
2189
U.S. to generate health benefit estimates. However, to the extent
2190
that pollutant/health effect relationships are region-specific,
2191
applying a location-specific C-R function at all locations in the
2192
U.S. may result in overestimates of health effect changes in some
2193
locations and underestimates of health effect changes in other
2194
locations. It is not possible, however, to know the extent or
2195
direction of the overall effect on health benefit estimates
2196
introduced by application of a single C-R function to the entire
2197
U.S. This may be a significant uncertainty in the analysis, but the
2198
current state of the scientific literature does not allow for a
2199
region-specific estimation of health benefits.
2200
Uncertainties in the PM Mortality Relationship
2201
Health researchers have consistently linked air pollution,
2202
especially PM, with excess mortality. A substantial body of
2203
published scientific literature recognizes a correlation between
2204
elevated PM concentrations and increased mortality rates. However,
2205
there is much about this relationship that is still uncertain.23
2206
These uncertainties include:
2207
22 PM is a mix of particles of varying size and chemical
2208
properties. The composition of PM can vary considerably from one
2209
region to another depending on the sources of particulate emissions
2210
in each region.
2211
23The morbidity studies used in the Clear Skies Act benefits
2212
analysis may also be subject to many of the uncertainties listed in
2213
this section.
2214
2215
24 Much of this literature is summarized in the 1996 PM Criteria
2216
Document (US EPA, 1996a). There is much about this relationship
2217
that is still uncertain. As stated in preamble to the 1997 PM
2218
National Ambient Air Quality Standards (40 CFR 50, 1997), "the
2219
consistency of the results of the epidemiological studies from a
2220
large number of different locations and the coherent nature of the
2221
observed effects are suggestive of a likely causal role of ambient
2222
PM in contributing to the reported effects," which include
2223
premature mortality. The National Academy of Sciences, in their
2224
report on research priorities for PM (NAS, 1998), indicates that
2225
"there is a great deal of uncertainty about the implications of the
2226
findings [of an association between PM and premature mortality] for
2227
risk management, due to the limited scientific information about
2228
the specific types of particles that might cause adverse health
2229
effects, the contributions of particles of outdoor origin to actual
2230
human exposures, the toxicological mechanisms by which the
2231
particles might cause adverse health effects, and other important
2232
questions." EPA acknowledges these uncertainties; however, for this
2233
analysis, we assume a causal relationship between exposure to
2234
elevated PM and premature mortality, based on the consistent
2235
evidence of a correlation between PM and mortality reported in the
2236
scientific literature.
2237
46
2238
relationship independent of that for PM. However, most of the
2239
studies examined by Ito and Thurston only controlled for PM10 or
2240
broader measures of particles and did not directly control for
2241
PM2.5. As such, there may still be potential for confounding of
2242
PM2.5 and ozone mortality effects, as ozone and PM2.5 are highly
2243
correlated during summer months in some areas.25 In its September
2244
2001 advisory on the draft analytical blueprint for the second
2245
Section 812 prospective analysis, the SAB cited the Thurston and
2246
Ito study as a significant advance in understanding the effects of
2247
ozone on daily mortality and recommended re-evaluation of the ozone
2248
mortality endpoint for inclusion in the next prospective study
2249
(EPA-SAB-COUNCIL-ADV-01-004, 2001). Thus, recent evidence suggests
2250
that by not including an estimate of reductions in short-term
2251
mortality due to changes in ambient ozone, both the Base and
2252
Alternative Estimates may underestimate the benefits of
2253
implementation of the Clear Skies Act.
2254
C Shape of the C-R Function. The shape of the true PM mortality
2255
C-R function is uncertain, but this analysis assumes the C-R
2256
function to have a log-linear form (as derived from the literature)
2257
throughout the relevant range of exposures. If this is not the
2258
correct form of the C-R function, or if certain scenarios predict
2259
concentrations well above the range of values for which the C-R
2260
function was fitted, avoided mortality may be misestimated.
2261
C Regional Differences. As discussed above, significant
2262
variability exists in the results of different PM/mortality
2263
studies. This variability may reflect regionally specific C-R
2264
functions resulting from regional differences in factors such as
2265
the physical and chemical composition of PM. If true regional
2266
differences exist, applying the PM/Mortality C-R function to
2267
regions outside the study location could result in mis-estimation
2268
of effects in these regions.
2269
C Exposure/Mortality Lags. It is currently unknown whether there
2270
is a time lag -- a delay between changes in PM exposures and
2271
changes in mortality rates -- in the chronic PM/mortality
2272
relationship. The existence of such a lag is important for the
2273
valuation of premature mortality incidence because economic theory
2274
suggests that benefits occurring in the future should be
2275
discounted. There is no specific scientific evidence of the
2276
existence or structure of a PM effects lag. However, current
2277
scientific literature on adverse health effects similar to those
2278
associated with PM (e.g., smoking-related disease) and the
2279
difference in the effect size between chronic exposure studies and
2280
daily mortality studies suggest that all incidences of premature
2281
mortality reduction associated with a given incremental change in
2282
PM exposure probably would not occur in the same year as the
2283
exposure reduction. The smoking-related literature also implies
2284
that lags of up to a few years are plausible. Adopting the lag
2285
structure used in the Tier 2/Gasoline Sulfur and Heavy-Duty
2286
Engine/Diesel Fuel RIAs and endorsed by the SAB
2287
(EPA-SAB-COUNCIL-ADV-00-001, 1999), we assume a five-year lag
2288
structure. This approach assumes that 25 percent of PM-related
2289
premature deaths occur in each of the first two years after the
2290
exposure and the rest occur in equal parts (approximately 17%) in
2291
each of the ensuing three years.
2292
C Cumulative Effects. As a general point, we attribute the
2293
PM/mortality relationship in the
2294
25 Short-term ozone mortality risk estimates may also be
2295
affected by the statistical issue discovered by the Health Effects
2296
Institute (Greenbaum, 2002a). See page 24 for a more detailed
2297
discussion of this issue.
2298
underlying epidemiological studies to cumulative exposure to PM.
2299
However, the relative roles of PM exposure duration and PM exposure
2300
level in inducing premature mortality remain unknown at this
2301
time.
2302
2303
2304
Uncertainties Associated with Environmental and Ecosystem
2305
Effects Estimation
2306
Our analysis of the Clear Skies Act includes a quantitative
2307
estimate of only two environmental effects: recreational visibility
2308
and ozone effects on agriculture. Scientific studies, however, have
2309
reliably linked atmospheric emissions of sulfur, nitrogen, and
2310
mercury to a much wider range of other environmental and ecological
2311
effects. Some of these effects are acute in nature, and some are
2312
longer-term and could take many years to manifest. The effects
2313
include the following:
2314
2315
These effects are left unquantified for a variety of reasons,
2316
but mostly because of the complexity of modeling these effects and
2317
the major uncertainties in reliably quantifying the incremental
2318
effects of atmospheric emissions reductions on ecological
2319
endpoints.
2320
Individually, many of these environmental effects may be
2321
relatively small in terms of their overall ecosystem and monetary
2322
importance, particularly in the near-term. Their cumulative and
2323
longer term effects, however, some of which may be largely unknown
2324
at this time, may be substantial. As a result, the omission of this
2325
broad class of benefits from our quantitative results likely causes
2326
our estimates to substantially understate the total benefits of the
2327
Clear Skies Act.
2328
48
2329
2330
2331
Uncertainties Associated with Economic Valuation of
2332
Benefits
2333
Economic valuation of benefits often involves estimation of the
2334
willingness-to-pay of individuals to avoid harmful health or
2335
environmental effects. In most cases, there are no markets in which
2336
to directly observe WTP for these types of commodities. In some
2337
cases, we can rely on indirect market transactions, such as the
2338
implicit tradeoff of wages for on-the-job mortality risk among the
2339
working population, to estimate WTP. In other cases, we must rely
2340
on survey approaches to estimate WTP, usually through a variant of
2341
the contingent valuation approach, which generally involves
2342
directly questioning respondents for their WTP in hypothetical
2343
market situations. Regardless of the method used to estimate WTP,
2344
there are measurement errors, data inadequacies, and ongoing
2345
debates about the best practices for each method that contribute to
2346
the overall uncertainty of economic estimates.
2347
General Benefits Transfer Considerations
2348
For the Clear Skies benefits analysis, we do not have the time
2349
or resources to conduct primary economic research targeted at the
2350
specific air pollution-related benefits provided. As a result, we
2351
rely on the transfer of benefits estimates from existing studies.
2352
The conduct of "benefits transfer" exercises necessarily involves
2353
some uncertainties. These uncertainties can be reduced by careful
2354
consideration of the differences in the health risk or air
2355
pollution commodity and the study populations in the underlying
2356
economic literature versus the context of benefits conferred by the
2357
Clear Skies Act. For example, we make adjustments to the mortality
2358
valuation estimates to account for the estimated lag between
2359
exposure and manifestation of the effect, reflecting the basic
2360
economic tenet that individuals prefer benefits that occur sooner
2361
to those that occur later. We also make adjustments to account for
2362
expected changes in WTP over time as per capita income increases.
2363
We cannot adjust for all benefits transfer considerations, however,
2364
thus introducing additional uncertainty into our estimates.
2365
Lack of Adequate Data or Methods
2366
The lack of adequate data or methods to characterize WTP results
2367
in our inability to present monetized benefits of some categories
2368
of effects. For example, while studies exist that estimate the
2369
benefits of visibility improvements to individuals in the places
2370
they reside, these residential visibility studies are considered by
2371
some in the resource economics community to be less reliable
2372
because of the methods applied. In the case of residential
2373
visibility, we conduct sensitivity analyses to estimate the impact
2374
of this uncertainty in the reliability of methods. To the extent
2375
effects such as these represent categories of benefits that are
2376
truly valuable to the U.S. population, we have underestimated the
2377
total benefits of the Clear Skies Act.
2378
Uncertainties Specific to Premature Mortality Valuation
2379
The economic benefits associated with premature mortality are
2380
the largest category of monetized benefits of the Clear Skies
2381
Act.26 In addition, in prior analyses EPA has identified valuation
2382
of mortality benefits as the largest contributor to the range of
2383
uncertainty in monetized
2384
26As noted in the methods section, it is actually reductions in
2385
mortality risk that are valued in a monetized benefit analysis.
2386
Individual WTPs for small reductions in mortality risk are summed
2387
over enough individuals to infer the value of a statistical life
2388
saved. This is different from the value of a particular, identified
2389
life saved. The "value of a premature death avoided," then, should
2390
be understood as shorthand for "the value of a statistical
2391
premature death avoided."
2392
benefits (see USEPA 1999a). Because of the uncertainty in
2393
estimates of the value of premature mortality avoidance, it is
2394
important to adequately characterize and understand the various
2395
types of economic approaches available for mortality valuation.
2396
Such an assessment also requires an understanding of how
2397
alternative valuation approaches reflect that some individuals may
2398
be more susceptible to air pollution-induced mortality, or reflect
2399
differences in the nature of the risk presented by air pollution
2400
relative to the risks studied in the relevant economic
2401
literature.
2402
The health science literature on air pollution indicates that
2403
several human characteristics affect the degree to which mortality
2404
risk affects an individual. For example, some age groups appear to
2405
be more susceptible to air pollution than others (e.g., the elderly
2406
and children). Health status prior to exposure also affects
2407
susceptibility. At risk individuals include those who have suffered
2408
strokes or are suffering from cardiovascular disease and angina
2409
(Rowlatt, et al. 1998). An ideal benefits estimate of mortality
2410
risk reduction would reflect these human characteristics, in
2411
addition to an individual's willingness to pay (WTP) to improve
2412
one's own chances of survival plus WTP to improve other
2413
individuals' survival rates.27 The ideal measure would also take
2414
into account the specific nature of the risk reduction commodity
2415
that is provided to individuals, as well as the context in which
2416
risk is reduced. To measure this value, it is important to assess
2417
how reductions in air pollution reduce the risk of dying from the
2418
time that reductions take effect onward, and how individuals value
2419
these changes. Each individual's survival curve, or the probability
2420
of surviving beyond a given age, should shift as a result of an
2421
environmental quality improvement. For example, changing the
2422
current probability of survival for an individual also shifts
2423
future probabilities of that individual's survival. This
2424
probability shift will differ across individuals because survival
2425
curves are dependent on such characteristics as age, health state,
2426
and the current age to which the individual is likely to
2427
survive.
2428
Although a survival curve approach provides a theoretically
2429
preferred method for valuing the benefits of reduced risk of
2430
premature mortality associated with reducing air pollution, the
2431
approach requires a great deal of data to implement. The economic
2432
valuation literature does not yet include good estimates of the
2433
value of this risk reduction commodity. As a result, in this study
2434
we value avoided premature mortality risk using the value of
2435
statistical life approach in the Base Estimate, supplemented by
2436
valuation based on an age-adjusted value of statistical life
2437
estimate in the Alternative Estimate.
2438
Other uncertainties specific to premature mortality valuation
2439
include the following:
2440
Across-study Variation: The analytical procedure used in the
2441
main analysis to estimate the monetary benefits of avoided
2442
premature mortality assumes that the appropriate economic value for
2443
each incidence is a value from the currently accepted range of the
2444
value of a statistical life. This estimate is based on 26 studies
2445
of the value of mortal risks. There is considerable uncertainty as
2446
to whether the 26 studies on the value of a statistical life
2447
provide adequate estimates of the value of a statistical life saved
2448
by air pollution reduction. Although there is considerable
2449
variation in the analytical designs and data used in the 26
2450
underlying studies, the majority of the studies involve the value
2451
of risks to a middle-aged working population. Most of the studies
2452
examine differences in wages of risky occupations, using a
2453
wage-hedonic approach. Certain characteristics of both the
2454
27 For a more detailed discussion of altruistic values related
2455
to the value of life, see Jones-Lee (1992).
2456
50
2457
population affected and the mortality risk facing that
2458
population are believed to affect the average willingness to pay
2459
(WTP) to reduce the risk. The appropriateness of a distribution of
2460
WTP estimates from the 26 studies for valuing the mortality-related
2461
benefits of reductions in air pollution concentrations therefore
2462
depends not only on the quality of the studies (i.e., how well they
2463
measure what they are trying to measure), but also on (1) the
2464
extent to which the risks being valued are similar, and (2) the
2465
extent to which the subjects in the studies are similar to the
2466
population affected by changes in pollution concentrations.
2467
C Level of risk reduction. The transferability of estimates of
2468
the value of a statistical life from the 26 studies to the Clear
2469
Skies Act analysis rests on the assumption that, within a
2470
reasonable range, WTP for reductions in mortality risk is linear in
2471
risk reduction. For example, suppose a study estimates that the
2472
average WTP for a reduction in mortality risk of 1/100,000 is $50,
2473
but that the actual mortality risk reduction resulting from a given
2474
pollutant reduction is 1/10,000. If WTP for reductions in mortality
2475
risk is linear in risk reduction, then a WTP of $50 for a reduction
2476
of 1/100,000 implies a WTP of $500 for a risk reduction of 1/10,000
2477
(which is ten times the risk reduction valued in the study). Under
2478
the assumption of linearity, the estimate of the value of a
2479
statistical life does not depend on the particular amount of risk
2480
reduction being valued. This assumption has been shown to be
2481
reasonable provided the change in the risk being valued is within
2482
the range of risks evaluated in the underlying studies (Rowlatt et
2483
al. 1998).
2484
C Voluntariness of risks evaluated. Although there may be
2485
several ways in which jobrelated mortality risks differ from air
2486
pollution-related mortality risks, the most important difference
2487
may be that job-related risks are incurred voluntarily, or
2488
generally assumed to be, whereas air pollution-related risks are
2489
incurred involuntarily. There is some evidence28 that people will
2490
pay more to reduce involuntarily incurred risks than risks incurred
2491
voluntarily. If this is the case, WTP estimates based on wage-risk
2492
studies may understate WTP to reduce involuntarily incurred air
2493
pollution-related mortality risks.
2494
C Sudden versus protracted death. A final important difference
2495
related to the nature of the risk may be that some workplace
2496
mortality risks tend to involve sudden, catastrophic events,
2497
whereas air pollution-related risks tend to involve longer periods
2498
of disease and suffering prior to death. Some evidence suggests
2499
that WTP to avoid a risk of a protracted death involving prolonged
2500
suffering and loss of dignity and personal control is greater than
2501
the WTP to avoid a risk (of identical magnitude) of sudden death.
2502
To the extent that the mortality risks addressed in this assessment
2503
are associated with longer periods of illness or greater pain and
2504
suffering than are the risks addressed in the valuation literature,
2505
the WTP measurements employed in the present analysis would reflect
2506
a downward bias.
2507
2508
2509
IV. RESULTS
2510
Base Estimate
2511
28See, for example, Violette and Chestnut, 1983.
2512
Exhibits 12 and 13 present a summary of health effects benefits
2513
resulting from improvements in air quality between the Base Case
2514
and the Clear Skies Act scenarios. Exhibit 12 presents the mean
2515
estimate of avoided health effects in 2010 and 2020 for each health
2516
endpoint included in the Base analysis. We estimate that reductions
2517
in exposure to fine PM and ozone due to the Clear Skies Act will
2518
result in over 6,000 fewer deaths in 2010 and nearly 12,000 fewer
2519
deaths in 2020, as well as nearly 4,000 fewer cases of chronic
2520
bronchitis in 2010 and over 7,000 fewer cases in 2020. In addition,
2521
193,000 fewer asthma attacks are estimated to occur in 2010 and
2522
373,000 fewer in 2020. Exhibit 13 summarizes the mean monetized
2523
health and visibility benefits due to the Clear Skies Act. As that
2524
exhibit shows, we estimate the monetized benefits of the Clear
2525
Skies Act in the continental United States will be $44 billion in
2526
2010, including $43 billion in health benefits and $1 billion in
2527
recreational visibility benefits. In 2020, total benefits increase
2528
to $96 billion, with $93 billion in health benefits and $3 billion
2529
in recreational visibility benefits.
2530
The results of our regional benefits analysis indicate that the
2531
vast majority of the health benefits of the Clear Skies Act are
2532
realized in the easternmost 39 states, including the states of
2533
North Dakota, South Dakota, Nebraska, Kansas, Oklahoma, and Texas.
2534
We estimate total benefits of $44 billion in these 39 states in
2535
2010, and $95 billion in 2020.
2536
In addition to calculating the physical effects and monetary
2537
impacts of the Clear Skies Act, we also estimated the distribution
2538
of particulate matter air quality improvements that will be
2539
experienced by the US population. Exhibit 14 illustrates the
2540
numbers of individuals and the percent of the US population that
2541
they represent that will experience changes in ambient particulate
2542
matter concentrations in 2010 and 2020. As indicated in the table,
2543
the Clear Skies Act yields relatively modest air quality
2544
improvements for about one-fourth of the US population (i.e.,
2545
changes in PM concentrations of less than 0.25 µg/m3), in both 2010
2546
and 2020, but more substantial improvements for a large percentage
2547
of the population, including improvements in excess of 2 µg/m3 for
2548
more than 24 million individuals by 2020.
2549
52
2550
Exhibit 12 Change in Incidence of Adverse Health Effects
2551
Associated with Reductions in Particulate Matter and Ozone Due to
2552
the Clear Skies Act - 48 State U.S. Population (avoided cases per
2553
year)
2554
2010 2020 Endpoint Pollutant mean mean
2555
Mortality
2556
Chronic Exposure, Ages 30 and Older PM2.5 6,400 11,900
2557
2558
Chronic Illness
2559
Chronic Bronchitis PM10, PM2.5 3,900 7,400
2560
Hospitalization / ER Visits
2561
COPD Admissions Pneumonia Admissions Cardiovascular Admissions
2562
Asthma AdmissionsAll Respiratory Admissions Dysrhythmia Admissions
2563
Emergency Room Visits for Asthma Hospitalization / ER Visits
2564
Subtotal Minor Respiratory Illness and Symptoms
2565
PM10 700 1,300
2566
PM10 800 1,500
2567
PM10 2,000 3,700
2568
PM2.5 600 1,200
2569
Ozone 500 1,000 Ozone 100 300 PM10 and 1,600 2,900 Ozone 6,300
2570
11,900
2571
Acute Bronchitis PM2.5 Upper Respiratory Symptoms PM10 Lower
2572
Respiratory Symptoms PM2.5 Asthma Attacks PM10 and
2573
Ozone Work Loss Days PM2.5 Minor Restricted Activity Days PM2.5
2574
and (minus asthma attacks)Ozone Minor Respiratory Illness and
2575
Symptoms Subtotal
2576
12,900 23,800 141,000 262,000 141,000 260,000 195,000
2577
373,000
2578
1,100,000 2,060,000 6,400,000 12,100,000
2579
8,000,000 15,100,000
2580
Totals may not sum due to rounding.
2581
Exhibit 13 Results of Human Health and Welfare Benefits
2582
Valuation for the Clear Skies Act (Particulate Matter and Ozone
2583
Reductions Only)
2584
2585
2586
Mortality
2587
Chronic Exposure, Ages 30 and older PM2.5 $41,400* $88,900*
2588
$38,900** $83,500**
2589
Chronic Illness
2590
Chronic Bronchitis PM10 PM2.5 $1,500 $3,200
2591
Hospitalization
2592
COPD Admissions PM10 Pneumonia Admissions PM10 Cardiovascular
2593
Admissions PM10 Asthma Admissions PM2.5
2594
All Respiratory Admissions Ozone Dysrhythmia Admissions Ozone
2595
Emergency Room Visits for Asthma PM10 and
2596
Ozone
2597
$8 $16 $12 $23 $37 $69 $4 $8 $6 $14 $1 $3 $0.4 $1
2598
$69 $130
2599
Hospitalization / ER Visits Subtotal Minor Respiratory Illness
2600
and Symptoms
2601
Acute Bronchitis Upper Respiratory Symptoms Lower Respiratory
2602
Symptoms Work Loss Days Minor Restricted Activity Days (minus
2603
asthma attacks)
2604
PM2.5 PM10 PM2.5 PM2.5 PM2.5 and Ozone $1 $1 $4 $7 $2 $4 $120
2605
$220 $325 $630
2606
$450 $860
2607
2608
2609
Minor Respiratory Illness and Symptoms Subtotal
2610
Total Health Benefits in 2020 $43,400* $93,000* $40,900**
2611
$87,600**
2612
Welfare
2613
Recreational Visibility; CA, SW, and SE park regions Agriculture
2614
Worker Productivity
2615
PM $900 $2,800
2616
Ozone $47 $56 Ozone $55 $130
2617
Total Benefits in 2020 $44,000* $96,000* $41,500** $90,600**
2618
Totals may not sum due to rounding.
2619
* Results calculated using three percent discount rate as
2620
recommended by EPA's Guidelines for Economic Analysis (US EPA,
2621
2000a).
2622
** Results calculated using seven percent discount rate as
2623
recommended by OMB Circular A-94 (OMB, 1992). Total benefit numbers
2624
reflect use of three percent discount rate.
2625
54
2626
2627
2628
* Totals may not sum due to rounding.
2629
2630
2631
2632
2633
Alternative Estimate
2634
Exhibits 15 and 16 present the results of the Alternative
2635
calculations. Exhibit 15 presents the mean estimate of avoided
2636
health effects in 2010 and 2020 for each health endpoint included
2637
in the Base analysis. Under the Alternative Estimate, the number of
2638
avoided cases of chronic bronchitis, hospital and ER visits, and
2639
minor respiratory illnesses and symptoms is the same as the Base.
2640
The Alternative projects that reductions in exposure to fine PM and
2641
ozone due to the Clear Skies Act will result in 3,800 avoided
2642
premature deaths in 2010 and nearly 7,200 avoided premature deaths
2643
in 2020. The omission of long-term impacts of particulate matter on
2644
mortality accounts for approximately 40 percent reduction in the
2645
estimate of avoided premature mortality in the Alternative Estimate
2646
relative to the Base Estimate.
2647
Exhibit 16 summarizes the mean monetized health and visibility
2648
benefits of the Alternative Estimate, which will be $6.3 billion in
2649
2010 and $14.1 billion in 2020. The 40 percent reduction in
2650
mortality under the Alternative Estimate and the difference in
2651
valuation of premature mortality and chronic bronchitis explain the
2652
difference in benefits between these two approaches. Even using the
2653
more conservative Alternative Estimate benefit projections,
2654
however, the benefits of Clear Skies still outweigh the costs of
2655
$3.7 billion in 2010 and $6.5 billion in 2020. It is also important
2656
to note that both the Alternative and Base Estimate are likely to
2657
underestimate the benefits of this proposal because of the many
2658
environmental and health effects that we were unable to quantify in
2659
this analysis.
2660
55
2661
Exhibit 15 Alternative Estimate of the Change in Incidence of
2662
Adverse Health Effects Associated with Reductions in Particulate
2663
Matter and Ozone Due to the Clear Skies Act in 2010 - 48 State U.S.
2664
Population (avoided cases per year)
2665
2010 2020
2666
2667
Endpoint Pollutant mean mean
2668
Mortality
2669
Short-Term Exposure, Non-COPD Related, Ages 65 PM2.5 2,600 4,900
2670
and Over
2671
Short-Term Exposure, Non-COPD Related, Ages 64 PM2.5 800 1,500
2672
and Under
2673
Short-Term Exposure, COPD Related, Ages 65 and PM2.5 360 670
2674
Over
2675
Short-Term Exposure, COPD Related, Ages 64 and PM2.5 57 110
2676
Under
2677
Short-Term Mortality Subtotal 3,800 7,200
2678
2679
Totals may not sum due to rounding.
2680
56
2681
2682
2683
2684
* Results calculated using three percent discount rate as
2685
recommended by EPA's Guidelines for Economic Analysis (US EPA,
2686
2000a).
2687
** Results calculated using seven percent discount rate as
2688
recommended by OMB Circular A-94 (OMB, 1992).Totals may not sum due
2689
to rounding.
2690
57
2691
2692
2693
2694
Sensitivity Analyses
2695
The Base Estimate is based on our current interpretation of the
2696
scientific and economic literature; its judgments regarding the
2697
best available data, models, and modeling methodologies; and the
2698
assumptions it considers most appropriate to adopt in the face of
2699
important uncertainties. The majority of the analytical assumptions
2700
used to develop the Base Estimate have been reviewed and approved
2701
by EPA's Science Advisory Board (SAB). However, we recognize that
2702
data and modeling limitations as well as simplifying assumptions
2703
can introduce significant uncertainty into the benefit results and
2704
that reasonable alternative assumptions exist for some inputs to
2705
the analysis, such as the mortality C-R functions.
2706
To address these concerns, we supplement our Base Estimate of
2707
benefits with a series of sensitivity calculations that make use of
2708
other sources of concentration-response and valuation data for key
2709
benefits categories. These sensitivity calculations are conducted
2710
only for the Base Estimate and not for the Alternative Estimate.
2711
First we applied three alternative concentrationresponse (C-R)
2712
functions to estimate premature mortality incidence. Although we
2713
used the Krewski, et al. (2000) mean-based ("PM2.5(DC), All
2714
Causes") model exclusively to derive our Base Estimate of avoided
2715
premature mortality, this analysis also examined the sensitivity of
2716
the benefit results to the selection of alternative C-R functions
2717
for premature mortality. We used three sources of alternative C-R
2718
functions for this sensitivity analysis: (1) an alternative
2719
specification of the Pope/ACS model from Krewski, et al. (2000)
2720
that adjusted for spatial correlation in the dataset; (2) the
2721
original Pope/ACS model; and (3) the Krewski et al. "Harvard Six
2722
Cities" estimate. Exhibits 15 and 16 present the results of these
2723
sensitivity analyses for 2010 and 2020, respectively.
2724
The first alternative C-R function is based on the relative risk
2725
of 1.16 from the "Fine Particles Alone, Regional Adjustment Random
2726
Effects" model reported in Table 46 of the HEI report. Commentary
2727
by an independent review panel noted that "a major contribution of
2728
the [HEI] Reanalysis Project is the recognition that both pollutant
2729
variables and mortality appear to be spatially correlated in the
2730
ACS data set. If not identified and modeled correctly, spatial
2731
correlation could cause substantial errors in both the regression
2732
coefficients and their standard errors (HEI, 2000)." This C-R
2733
function is a reasonable specification to explore the impact of
2734
adjustments for broad regional correlations. However, the HEI
2735
report noted that the spatial adjustment methods "may have over
2736
adjusted the estimated effect for regional pollutants such as fine
2737
particles and sulfate compared with the effect estimates for more
2738
local pollutants such as sulfur dioxide." Thus, the estimates of
2739
avoided incidences of premature mortality based on this C-R
2740
function may underestimate the true effect. (Note that this C-R
2741
function is based on the original air quality dataset used in the
2742
ACS study, covering 50 cities, and used the median PM2.5 levels
2743
rather than mean PM2.5 as the indicator of exposure.)
2744
For comparison with earlier benefits analyses, such as the first
2745
Section 812 Prospective Analysis, we also include estimates of
2746
avoided incidences of premature mortality based on the
2747
58
2748
original ACS/Pope et al. (1995) analysis in the second row of
2749
Exhibit 15 and 16. The third row of Exhibit 17 shows the Krewski,
2750
et al. "Harvard Six Cities" estimate of mortality. The
2751
Krewski-Harvard Six Cities study used a smaller sample of
2752
individuals from fewer cities than the study by Pope, et al.;
2753
however, it features improved exposure estimates, a slightly
2754
broader study population (adults aged 25 and older), and a
2755
follow-up period nearly twice as long as that of Pope, et al. The
2756
SAB has noted that "the [Harvard Six Cities] study had better
2757
monitoring with less measurement error than did most other studies"
2758
(EPA-SAB-COUNCIL-ADV-99-012, 1999).
2759
Second, we use an alternative valuation procedure to estimate
2760
the value of avoided premature mortality, with explicit
2761
consideration of the expected age of mortality incidence associated
2762
with air pollution exposure. Age-specific VSL adjustment factors
2763
can be derived from a series of contingent valuation studies
2764
conducted in the United Kingdom to evaluate WTP for road safety
2765
improvements that reduce mortality risk. The two available sources,
2766
both authored by Michael Jones-Lee, derive significantly differing
2767
adjustment factors, and reflect reflecting the overall uncertainty
2768
within the literature about age-specific VSL adjustments. The
2769
results of this alternative calculation reduce the overall Base
2770
Estimate for the Clear Skies Act by 43 percent for the more extreme
2771
adjustment derived from Jones-Lee (1989), and by 9 percent for the
2772
less extreme adjustment derived from Jones-Lee (1993), as
2773
summarized in Exhibits 15 and 16 below. The specific adjustment
2774
procedure applied is described in more detail in the Heavy-Duty
2775
Engine/Diesel Fuel RIA (U.S. EPA, 2000b).
2776
Third, as noted in the section above on visibility valuation, we
2777
chose not to include in our Base Estimate the valuation of
2778
residential visibility or valuation of recreational visibility at
2779
Class I areas outside of the study regions examined in the Chestnut
2780
and Rowe (1990a, 1990b) study. The last three rows of Exhibits 17
2781
and 18 summarize the impact of applying the existing visibility
2782
valuation literature more broadly than in our Base Estimate.
2783
59
2784
Exhibit 17 Key Sensitivity Analyses for the Clear Skies Act in
2785
2010A
2786
Impact on Base Benefits Description of Basis for Analysis
2787
Avoided Incidences Estimate Adjusted for Growth in Real Income
2788
(billion 1999$)
2789
Concentration-Response Functions for PM-related Premature
2790
Mortality
2791
Krewski/ACS Study Regional 7,300 +$5.8 (+13%) Adjustment
2792
ModelB
2793
Pope/ACS StudyC 7,700 +$8.5 (+20%)
2794
Krewski/Harvard Six-City StudyD 18,800 +$80 (+182%)
2795
Methods for Valuing Reductions in Incidences of PM-related
2796
Premature Mortality
2797
2798
2799
A These results indicate the sensitivity of the primary benefits
2800
estimate to alternative assumptions; results reflect the use of a
2801
three percent discount rate, where appropriate.
2802
B
2803
This C-R function is included as a reasonable specification to
2804
explore the impact of adjustments for broad regional correlations,
2805
which have been identified as important factors in correctly
2806
specifying the PM mortality C-R function. C The Pope et al. C-R
2807
function was used to estimate reductions in premature mortality for
2808
the Tier 2/Gasoline Sulfur benefits analysis. It is included here
2809
to provide a comparable estimate for the Clear Skies Act. D The
2810
Krewski et al. "Harvard Six-cities Study" estimate is included
2811
because the Harvard Six-cities Study featured improved exposure
2812
estimates, a slightly broader study population (adults aged 25 and
2813
older), and a follow-up period nearly twice as long as that of
2814
Pope, et al. and as such provides a reasonable alternative to the
2815
Base Estimate. E Jones-Lee (1989) provides an estimate of
2816
age-adjusted VSL based on a finding that older people place a much
2817
lower value on mortality risk reductions than middle-age people.
2818
Jones-Lee (1993) provides an estimate of age-adjusted VSL based on
2819
a finding that older people value mortality risk reductions only
2820
somewhat less than middle-aged people.
2821
60
2822
Exhibit 18 Key Sensitivity Analyses for the Clear Skies Act in
2823
2020A
2824
Impact on Base Benefits Description of Basis for Analysis
2825
Avoided Incidences Estimate Adjusted for Growth in Real Income
2826
(billion 1999$)
2827
Concentration-Response Functions for PM-related Premature
2828
Mortality
2829
Krewski/ACS Study Regional 13,400 +$11 (+11%) Adjustment
2830
ModelB
2831
Pope/ACS StudyC 14,200 +$17 (+17%)
2832
Krewski/Harvard Six-City StudyD 35,000 +$171 (+179%)
2833
Methods for Valuing Reductions in Incidences of PM-related
2834
Premature Mortality
2835
2836
2837
A These results indicate the sensitivity of the primary benefits
2838
estimate to alternative assumptions; results reflect the use of a
2839
three percent discount rate, where appropriate.
2840
B
2841
This C-R function is included as a reasonable specification to
2842
explore the impact of adjustments for broad regional correlations,
2843
which have been identified as important factors in correctly
2844
specifying the PM mortality C-R function. C The Pope et al. C-R
2845
function was used to estimate reductions in premature mortality for
2846
the Tier 2/Gasoline Sulfur benefits analysis. It is included here
2847
to provide a comparable estimate for the Clear Skies Act.D The
2848
Krewski et al. "Harvard Six-cities Study" estimate is included
2849
because the Harvard Six-cities Study featured improved exposure
2850
estimates, a slightly broader study population (adults aged 25 and
2851
older), and a follow-up period nearly twice as long as that of
2852
Pope, et al. and as such provides a reasonable alternative to the
2853
Base Estimate. E Jones-Lee (1989) provides an estimate of
2854
age-adjusted VSL based on a finding that older people place a much
2855
lower value on mortality risk reductions than middle-age people.
2856
Jones-Lee (1993) provides an estimate of age-adjusted VSL based on
2857
a finding that older people value mortality risk reductions only
2858
somewhat less than middle-aged people.
2859
61
2860
Fourth, we conducted a quantitative sensitivity test on one
2861
aspect of the PM-mortality dose-response function. Although the
2862
consistent advice from EPA's Science Advisory Board has been to
2863
model premature mortality associated with PM exposure as a
2864
non-threshold effect, that is, with harmful effects to exposed
2865
populations regardless of the absolute level of ambient PM
2866
concentrations, some analysts have hypothesized the presence of a
2867
threshold relationship. The nature of the hypothesized relationship
2868
is that there might exist a PM concentration level below which
2869
further reductions no longer yield premature mortality reduction
2870
benefits. EPA does not necessarily endorse any particular
2871
threshold. Nonetheless, Exhibit 19 illustrates how our estimates of
2872
the number of premature mortalities in the Base Estimate might
2873
change under a range of alternative assumptions for a PM mortality
2874
threshold. If, for example, there were no benefits of reducing PM
2875
concentrations below the proposed PM2.5 standard of 15 µg/m3, our
2876
estimate of the total number of premature mortalities in 2020 would
2877
be reduced by approximately 80 percent, from approximately 12,000
2878
annually to approximately 2,200 annually.
2879
One important assumption that we adopted for the threshold
2880
sensitivity analysis is that no adjustments are made to the shape
2881
of the concentration-response function above the assumed threshold.
2882
Instead, thresholds were applied by simply assuming that any
2883
changes in ambient concentrations below the assumed threshold would
2884
have no impacts on the incidence of premature mortality. If there
2885
were actually a threshold, then the shape of the C-R function above
2886
the threshold would likely change.
2887
62
2888
Exhibit 18 Sensitivity Analysis: Effect of Thresholds on
2889
Estimated 2010 and 2020 Clear Skies Analysis PM-Related
2890
Mortality
2891
2892
63
2893
2894
2895
V. REFERENCES
2896
Abbey, D.E., B.L. Hwang, R.J. Burchette, T. Vancuren, and P.K.
2897
Mills. 1995a. "Estimated Long-Term Ambient Concentrations of PM(10)
2898
and Development of Respiratory Symptoms in a Nonsmoking
2899
Population." Archives of Environmental Health 50(2): 139-152.
2900
Abbey, D.E., N. Nishino, W.F. McDonnell, R.J. Burchette, S.F.
2901
Knutsen, W.L. Beeson, and J.X. Yang. 1999. "Long-Term Inhalable
2902
Particles and Other Air Pollutants Related to Mortality in
2903
Nonsmokers." American Journal of Respiratory and Critical Care
2904
Medicine. 159: 373-382.
2905
Abt Associates, 2000. Final Heavy-Duty Engine / Diesel Fuel
2906
Rule: Air Quality Estimation, Selected Health and Welfare Benefits
2907
Methods, and Benefit Analysis Results. Prepared for the
2908
U.S. Environmental Protection Agency, Office of Air Quality
2909
Planning and Standards, ResearchTriangle Park, NC. December.
2910
American Lung Association, 1999. Chronic Bronchitis. Web site
2911
available at: http://www.lungusa.org/diseases/lungchronic.html.
2912
Blumenschein, K. and M. Johannesson. 1998. "Relationship Between
2913
Quality of Life Instruments, Health State Utilities, and
2914
Willingness to Pay in Patients with Asthma." Annals of Allergy,
2915
Asthma, and Immunology 80:189-194.
2916
Comprehensive Air Quality Model with Extensions (CAMx) Overview;
2917
Accessed June 5, 2002 via http://www.camx.com/overview.html. CAMx
2918
Version 3.1 User's Guide; Accessed June 5, 2002 via
2919
http://www.camx.com/pdf/CAMx3.UsersGuide.020410.pdf.
2920
Chestnut, L.G. 1997. Draft Memorandum: Methodology for
2921
Estimating Values for Changes in Visibility at National Parks.
2922
April 15.
2923
Chestnut, L.G. and R.L. Dennis. 1997. Economic Benefits of
2924
Improvements in Visibility: Acid Rain Provisions of the 1990 Clean
2925
Air Act Amendments. Journal of Air and Waste Management Association
2926
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