Applications of Benefit Cost Analysis
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Transcript Applications of Benefit Cost Analysis
Applications of Benefit-Cost/
Cost-Effectiveness Analysis
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Tuolumne River preservation
Lead in drinking water
Habitat Protection
“Saving the Tuolumne”
Dam proposed for hydroelectric power
generation.
The “tension”: valuable electricity-loss in
environmental amenities.
Benefits: hydroelectric power, some
recreation.
Costs: environmental, rafting, fishing,
hiking, other recreation.
Question: Should the dam be built?
Influential analysis by economist: R. Stavins.
Tuolumne: background
Originates in Yosemite Nat’l Park
Flows west 158 miles, 30 miles free-flow
Many RTE species rely on river
Historic significance
World-class rafting: 15,000 trips in 1982
Recreation: 35,000 user-days annually
The Tuolumne: A nice place
Hydroelectric power
generation
River’s steep canyon walls ideal for power
generation
“Tuolumne River Preservation Trust” lobbied
for protection under Wild & Scenic
1983: existing hydro captured 90% water
Municipal, agricultural, hydroelectric
Rapid growth of region would require more
water & more power
New hydroelectric projects
2 proposed hydro projects:
Clavey River, Wards Ferry
3 year study on Wild & Scenic stalled
FERC (Fed. Energy Reg. Comm.) from
assessing feasibility of hydro projects.
April 1983, FERC granted permit to study
feasibility of Clavey-Wards Ferry Project
(CWF).
Clavey-Wards Ferry project
2 new dams & reservoirs, 5 mile
diversion tunnel
Jawbone Dam 175’ high
Wards Ferry Dam 450’ high
Generate 980 gigawatt-hours annually
Annual water supply of 12,000 AF
Increased recreational opportunities
Cost: $860 million (1995 dollars)
The opposition
Historical context: John Muir & Sierra Club
lost Hetch Hetchy Valley fight.
Dams would damage
Fishing, rafting, wildlife populations, wild
character.
Recreational opps created are minimal
Cheaper alternative sources of energy
Economic evaluation
EDF economists to evaluate costs and
benefits, including environmental costs
Traditionally, environmental losses only
measured qualitatively. Difficult to
compare with quantified $ Benefits.
Stavins: “Rather than looking at it from a narrow financial
perspective, we believed we could look at it from a
broader social perspective by trying to internalize some of
the environmental externalities”.
Differences in the CBA’s
Stavins’ CBA:
Used data from original project proposal
Included environmental externalities (mostly in
lost rafting and fishing opportunities).
Took dynamic approach – evaluated costs and
benefits over entire life of project (50 year
“planning horizon”), r=10.72%
• 10.72% = 40 year bond rate for district
The costs and benefits
Benefits: $188 million annually
Electricity benefits: $184.2 million
Water yield: $3.4 million
Social Costs: $214 million annually
Internal project costs: $134 million
Lost recreation: $80 million
C (214) > B (188)
Tuolumne River: epilogue
Clavey-Wards Ferry project dams were not
built….partly due to formal CBA.
Intense lobbying forced the political decision
to forbid project.
Pete Wilson was senator.
Stavins said: “[Wilson] couldn’t say ‘I did it
because I love wild rivers and I don’t like
electricity’, but he could do it by holding up
the study and saying, ‘look, I changed my
vote for solid economic reasons.’”
“Lead in drinking water”
Should the EPA control lead
contamination of drinking water?
Should water utilities be responsible
for the quality of water at the tap?
Would benefits of such a program
outweigh costs?
Economic analysis at EPA formed
basis for adoption of this rule.
Background
Lead in drinking water is byproduct of
corrosion in public water systems
Water leaves treatment plant lead-free,
lead leaches into water from pipes.
Factors associated with risk:
Corrosivity of pipe material
Length of time water sits in pipe
Lead in plumbing
Water temperature (hotter -> more lead)
Primary issues
Evidence of lead-related health effects
even from low exposure
Tendency of lead to contaminate
water in the house
Decreasing corrosivity of water, also
reap extra economic benefits by
reducing damage to plumbing.
Scientific & analytical problems
No baseline data on lead levels in tap water
High variability in lead levels in tap water
Corrosion control is system specific
Uncertainty over reliability of corrosion control
treatment
Corrosion control treatment may change water
quality and require further treatment.
Approach
Stakeholders: 44% of U.S. population.
2 regulatory approaches:
Define a single water quality standard
at the tap or at the distribution center,
OR
Establish corrosion treatment
requirements.
Compare costs and benefits for each
regulator approach
Estimating costs [1 of 2]
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Source water treatment: for systems with
high lead in water entering dist’n system.
880 water systems, $90 million/yr.
Corrosion control treatment: either (1)
adjust pH, (2) water stabilization, or (3)
chemical corrosion inhibitors [engineering
judgment] $220 million/yr.
Lead pipe replacement: 26% of public
water systems have lead pipes; usually
best to increase corrosion treatment, $80370 million/yr.
Estimating costs [2 of 2]
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Public education: inform consumers
about risks $30 million/yr.
State implementation: $40 million/yr.
Monitoring: (1) source water, (2)
corrosion, (3) lead pipe replacement,
$40 million/yr.
Total costs: $500-$800 million/yr.
Benefits: children’s health
Avoided medical costs from leadrelated blood disorders: $70,000/yr.
Avoided costs to compensate for leadinduced congnitive damage ($4,600
per lost IQ point) $900 million/yr.
Offset compensatory education $2
million/yr.
Total: $900 million/yr.
Benefits: adult health
Avoided hypertension, $399 million/yr ($628
per case).
Avoided heart attacks, $818 million/yr ($1
million per event).
Avoided strokes, $609 million/yr ($1 million
per event).
Avoided deaths, $1.6 billion/yr ($2.5 million
per death).
Total: $3.4 billion/yr.
Total (all health): $4.3 billion/yr.
Key uncertainties & sensitivity
Current lead level in drinking water
Efficacy of corrosion treatment
Likelihood of decreased lead in blood
Precise link between lead exposure
and cognitive damage.
Sensitivity Analysis:
Costs 50%, Benefits +100%, -30%
Summary of costs & benefits
Costs:
$500-$800 million/yr.
NPV = $4 - $7 billion
Benefits:
$4.3 billion/yr.
NPV = $30 - $70 billion
Benefits outweigh costs by ~ 10:1
Reflections on analysis
CBA played prominent role in
regulation
Very stringent rule was adopted by
EPA
Widespread EPA/public support
Quantitative analysis more likely to
have impact if:
Credibly done and
Done early in process
Ando et al: Species Distributions, Land
Values, and Efficient Conservation
Basic Question: are we spending our
species conservation $ wisely?
Habitat protection often focuses on
biologically rich land
Focusing on biologically rich land
results in fewer acres of habitat to
protect species
Cost-effectiveness Analysis
Goal
Compare two approaches
Provide habitat to a fixed number of species
No issue of how many species to protect
Acquire cheapest land to provide protection
Acquire smallest amount of land to provide
protection
Why is this an interesting question?
Approach
Conduct analysis at county level in US
Use average ag land value for price of land
Use database of species location by county
(endangered or proposed endangered)
Assume if land acquired in county where
species lives species is protected
Results
Locations for 453 species
Blue: cost-min only
Yellow: site-min only
Green: both
Cost-minimizing Problem
min
c x
j j Subject to
jJ
x
j Ni
j
1
For all iεI
where J = {j j = 1, ... , n} is the index set of candidate reserve sites,
I = {i i = 1, ... , m} is the index set of species to be covered, Ni is
the subset of J that contain species i, cj is the loss associated with
selecting site j, and xj = 1 if site j is selected and 0 otherwise.
Conclusions
For 453 species
Cost per site 1/6 under cost-minimizing
Result similar to
Santa Clara River Group Project
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FWS had $8 million from NRDA settlement
Wanted to use to buy habitat
Chose species rich coastal land
Must more bang choosing interior low quality/low
price land
Ecological Linkages Group Project
Mini-Group Project Hints
Try to explain the problem & setup to
another person.
Solve it without Excel.
Computers are dumb – they can only do
what we ask them to do.
What is our objective? What are we
choosing in order to meet it? What are the
constraints?
Dealing with Multiple Criteria
Consider your first assignment
Single Species
Efficient way to conserve land, as
function of Budget
Think of “probability of survival” as
function of land conserved.
Extend to 2 species with different
habitat requirements.
Derive efficiency frontier…
The Concept of an Efficient Frontier
Bird Prob
Efficient Frontier
Attainable Points
Frog Prob
Excel needs 3 things:
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An “objective” function cell
The thing Excel is trying to maximize (the
probability of survival, or total species
protected)
2.
A “policy” cell or block of cells
The thing Excel changes in order to maximize
the objective (amount of each site
selected).
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“Constraints”
Things that “bound” the problem (Xi≥0,
Xi≤100, C ≤ 20,000,000)