# Case Study #2

Prompt: The objective of this case study is to analyze data and make recommendations for the improvement of the water quality in a local lake.
Describe the required data and the rationale for using the travel cost method. Prepare your analysis as though you were hired by an influential
association of homeowners and businesses that are interested in the local lake’s water quality. The analysis and recommendations you provide
will help determine the benefits for improving the water quality of the lake. You must take the steps listed below to complete this case study.
 Step 1
Describe the rationale for using the travel cost method. Compare the travel cost method to the contingent valuation method in your
description.
 Step 2
Define the zones surrounding the lake. These may be defined by concentric circles around the lake or by geographic divisions.
Choose what makes sense, such as counties or other distinguishable boundaries that surround the lake at different distances. Add a
graphic to enhance the definition and description.
Step 3
Explain how you will collect data. Focus on the number of visitors from each zone and the number of visits made in the last year. For
this example, assume the staff at the lake has records of the number of visitors and their zip codes. This will be used to calculate the
total number of visits per zone over the last year. To extend the value of the analysis, explain the value of more precise data and
what it takes to analyze this additional data. More information on this approach is found on the companion website to the course
textbook (relevant pages for Chapter 7).
 Step 4
Calculate the visitation rates per 1,000 population in each zone. These are the total visits per year designated by each zone, divided
by the zone’s population in thousands. An example is shown below. Use Microsoft Excel (or something similar) to calculate the rates
thousands. An example is shown below. Use Microsoft Excel (or something similar) to calculate the rates.
Visitation Rates per 1,000 Population
Zone Total-0-3
Visits/Year-400 all
Zone-
Population Visits/1,000
0 400 1,000 400
1 400 2,000 200
2 400 4,000 100
3 400 8,000 50
Beyond 3 0
Total Visits 1,600
Step 5
Calculate the average round-trip travel distance and travel time for each zone. Assume that people in Zone 0 have a travel distance
and time of zero. Every other zone has increasing travel time and distance. Next, using average cost per mile and per hour of travel
time, calculate the travel cost per trip. A standard cost per mile for operating an automobile is readily available from AAA or similar
sources. Assume that cost per mile is \$.30, or use the current expense rate found on the IRS website. The cost of time is more
complicated. The simplest approach is to use the average hourly wage. For this example, assume it is \$9 per hour (or \$.15 per
minute) for all zones, although in practice it is likely to differ by zone. Generate calculations using Microsoft Excel or a similar
program.
Average Round-Trip Travel Distance and Travel Time
Zone Round-Trip Travel
Distance
Round-Trip
Travel Time
Distance Times
Cost/Mile
(\$.30)
Travel Time
Times
Cost/Minute
(\$.15)
Total
Travel
Cost/Trip
0 0 0 0 0 0
1 20 30 \$6 \$4.50 \$10.50
2 40 60 \$12 \$9.00 \$21.00
3 80 120 \$24 \$18.00 \$42.00
Step 6
For additional practice, add one to two more zones with additional data.
To estimate using regression analysis, use an equation that relates visits per capita to travel costs and other important variables.
From this, estimate the demand function for the average visitor. In this simple model, the analysis might include demographic
variables, such as age, income, gender, and education levels, using the average values for each zone. To maintain the simplest
possible model, calculate the equation with only the travel cost and visits/1,000.
Visits/1,000 = 330 – 7.755*(Travel Cost)
Step 7
Construct the demand function for visits to the lake, using the results of the regression analysis. The first point on the demand curve
is the total visitors to the lake at current access costs (assuming there is no entry fee for the lake), which in this example is 1,600
visits per year. The other points are found by estimating the number of visitors with different hypothetical entrance fees (assuming
that an entrance fee is viewed in the same way as travel costs). Enter the total number of visits.
Demand Function
Zone Travel Cost plus
\$10
Visits/1,000 Population Total Visits
0 \$10 252 1,000 252
1 \$20.50 171 2,000 342
2 \$31.00 90 4,000 360
3 \$52.00 0 8,000 0
Total Visits
For additional practice, add one to two more sets of data
This gives the second point on the demand curve (enter the sum of the total visits into the gray shaded area). Use the total number
of visits and multiply it by an entry fee of \$10. Then calculate in the same way for the number of visits at each of the increasing entry
fees to get the totals listed below. (Use a program such as Microsoft Excel to enter data and then plot a graph.)
Entry Fee Total Visits
\$20 409
\$30 129
\$40 20
\$50 0
This points give the demand curve for trips to the lake
 Step 8
Now estimate the total economic benefit of the lake by calculating the consumer surplus (or the area under the demand curve). This
results in a total estimate of economic benefits from the lake uses around \$23,000 per year, or around \$14.38 per visit
(\$23,000/1,600). Remember that the objective is to determine whether it is worthwhile to spend money to protect the lake by implementing programs to improve the water quality. If the actions cost less than \$23,000 per year, the cost will be less than the
benefits provided by the lake. If the costs are greater, the staff will decide whether other factors are worthwhile. You should make
recommendations that will influence a decision on whether it is worthwhile to spend money on programs to improve the water
quality of the lake over the long run and the short run. Also make recommendations on the additional information to gather in a
survey to enhance this study. Create a report with recommendations based on your analysis.