Recreational demand for a gulf coast tourism destination.
Ha, Inhyuck "Steve"
ABSTRACT
Policy makers are often faced with limited resources and continuing
demand for public services, and must make difficult decisions about how
to allocate the public funds entrusted to them. To assess the economic
value of ecosystems, such as beaches, a recreation demand function is
estimated using the individual travel cost method (ITCM) for tourist
areas in Northwest Florida. Visitor behavior patterns, broken down by
the purpose of trip, such as business, vacation, and visits to friends
and relatives (VFR), are examined. Survey data provided determinants of
length of stay in the recreation area. The empirical results demonstrate
the elasticities of income and prices of recreation products. Consumer
surplus is also estimated to measure the changes in welfare according to the changes in value of resources.
INTRODUCTION
Policy makers in beach communities are faced with limited resources
and continuing demand for public services, and must make difficult
decisions about how to allocate the public funds entrusted to them.
Those in charge of protecting and managing vital beach resources must
justify their decisions in terms of benefits to the natural environment
and demonstrate fiscal accountability if they wish to maintain public
support. Often they are asked to justify their decisions in terms of the
economic value that is generated for the community (Font, 2000). One of
the primary economic benefits that these communities enjoy is spending
related to beach tourism. Beach related tourist activity in the
Northwest Florida area has long been a major source of employment for
local residents, sales for local companies, and tax revenues for local
government. Tourism's contribution to economic activity in the area
is therefore an important consideration in community planning. Economic
analyses that provide tangible estimates of these economic
interdependencies and a better understanding of the role and importance
of tourism in a region's economy are valuable to policy makers.
The purpose of this paper is to estimate a recreation demand
function to estimate the economic value of ecosystems, such as beaches,
using the individual travel cost method (ITCM) for tourist areas in
Northwest Florida. Once the demand curve has been defined and estimated,
one can also estimate the average consumer surplus, or economic
benefits, for the recreational amenities of the beach. It is often
mistakenly assumed that market price is the same as economic value.
Actually, the market price represents the minimum amount that someone
buying a good is willing to pay for it. People purchase marketed goods
only if their willingness to pay is equal to or greater than the price
of the good. Many people are actually willing to pay more than the
market price for a good, reflecting an economic value greater than the
market price. For policy makers to make resource allocation decisions
based on economic values, what they need to know is the net economic
benefit of a good or service. For individuals, incremental net benefits
beyond the price paid are called consumer surplus, and are measured as
the difference between the price actually paid for a good, and the
maximum amount that an individual is willing to pay for it.
This paper consists of six sections. They are literature review,
data, the theoretical model, empirical results, consumer surplus, and
conclusion.
LITERATURE REVIEW
Assessing the economic value of ecosystems such as a beach is
challenging because the intangible beach amenities that vacationers seek
are not bought and sold in markets as are other commercial goods and
services (Pendleton, 1999). Thus, determining value requires the
estimation of how much money or purchasing power people are willing to
give up to avail themselves of all that a particular beach has to offer.
For the past several decades, the demand for recreational trips has been
estimated using either direct or indirect method 1. In the direct
method, vacationers are asked how much they would be willing to pay for
an amount of recreation. The contingent valuation method (CVM) is a
well-known approach to directly estimate the non-market value of
recreational trips. Estimated values of a non-market good can be
specified in monetary terms by willingness-to-pay (WTP) or
willingness-to-accept (WTA). In the CVM approach, monetary values are
based on the hypothetical questions associated with WTP or WTA for
non-market goods.
On the other hand, the travel cost method (TCM) is one of the most
popular indirect method approaches. Since Hotelling's letter was
published in response to a US National Parks solicitation in order to
value the economic benefits of National Parks (Hotelling, 1949), the TCM
has been one of the useful tools to measure the value of a non-market
resource. In the TCM approach, values for non-market goods can be
inferred from the relationships between non-market use value and other
market goods and services that are purchased as complements to a site
visit (Bishop, 1979; Herath, 1999). The observed travel cost is used as
a price proxy in this method 2.
Two major variants of the TCM are the zonal travel cost method
(ZTCM) and the individual travel cost method (ITCM). In the ZTCM, the
area surrounding the recreation site is divided into various zones of
origin. Each zone has an associated average travel cost to the site
(Garrod and Willis, 1999). The visitation rate per zone given time
period, which is weighted by the number of visitors and the reverse of
the sample size and its population, can be estimated on the average
travel cost. According to Herath (1999), visits per thousand residents
per year t (Vt)3 can be obtained as follows.
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (1)
where [R.sub.it] = the total population of residents in area i in
time t; [V.sub.it] = visitors from area i in time t; [n.sub.t] = the
sample size in time t; and [N.sub.t] = total number of visitors per week
in time t.
Compared to the ZTCM, the estimation using ITCM is relatively
straightforward when the individual number of visits correlates with
travel cost and other economic and socio-demographic variables (Dobbs,
1993; Smith and Kaoru, 1990; Ward and Loomis, 1986). The Individual
Travel Cost Method assumes that the value of the beach or the
recreational activities it offers is reflected in how much people are
willing to pay to get there. It is referred to as a "revealed
preference" method, because it uses actual spending behavior to
infer values. The premise of this method is that the time and travel
cost expenses that tourists incur to visit a beach represent the
recreational value of the beach. The advantages of the Individual Travel
Cost Method are that it 1) imitates the conventional methods used by
economists to estimate economic values based on market prices; and 2) it
is based on what people actually do rather than on what people say they
would do in a hypothetical situation (Bell and Leeworthy, 1990).
The Individual Travel Cost Method uses survey data from individual
visitors to link the demand for tourism to its determinants.
Determinants include how far the tourist must travel to get to the
beach, the amount of time spent, travel and on-site expenses, how often
they have visited the beach in the past, their income and other
socioeconomic characteristics, etc. Because the tourist's costs
will vary as the determinants vary, this method allows us to calculate
the amount of beach visits "purchased" at different
"prices." These values are used to construct the demand
function for a beach vacation. The demand function relates price and
quantity by illustrating how many units of a good will be purchased at
different prices. In general, at higher prices, less will be purchased
giving the demand function (the graphical representation of the demand
function is referred to as the demand curve) a negative slope. Using
survey data and regression analysis, we are able to estimate the demand
function for the "average" visitor to the beach. This demand
function, or demand curve, allows us to quantify the impact that changes
in any of the determinants will have on the revenue generated by the
local tourism industry.
Due to the weak theoretical foundation of the behavioral patterns
in the aggregate demand models, the ZTCM has been often less preferred
to the ITCM. Empirical studies provide mixed results (Cook, 2000;
Hellerstein, 1995). The ZTCM is considered more appropriate to estimate
consumer surplus when origins are uniformly distributed. The ZTCM is
relatively more unsuitable for the case of multiple-destination of the
recreational areas because of the difficulty of obtaining the
site-specific travel cost estimates. Those difficulties can be overcome
by adopting the ITCM, which is used in this study to estimate a
recreational demand function for the Pensacola recreation area in the
Northwest Florida.
DATA
Visitor data were collected between September 1999 and April 2002
at the four visitor information centers4 in the greater Pensacola area
of Northwest Florida. These four visitor centers are located in two
counties--Escambia and Santa Rosa in Northwest Florida. Walk-in visitors
at each visitor information center filled out surveys in person. There
was no respondent-selection procedure. Some people argue that walk-in
visitor survey can be age-biased. Younger people are less likely to stop
by visitor centers on highways to collect information. However, in the
greater Pensacola area, all four visitor information centers are located
in the center of each subdivision. Under- or over-representation of a
specific group of population might not be significant. Surveys have been
conducted year-round during the regular visitor center operation hours.
Frequency varies month-to-month, which reflects the monthly variation of
visitors. The questionnaire has been attached (See Attachment 2)
The total number of traveler groups included in this analysis is
8,625. 66.7% of respondents can be classified as vacationers. The others
are business travelers (15.4%) and those who visited friends and
relatives (17.8%). Almost 90 percent of visitors reside outside the
local area. Half of the visitors have made multiple visits over the past
five years. Top five reasons to visit the area are (1) beaches, (2)
natural beauty of area, (3) climate, (4) quiet and relaxing atmosphere,
and (5) cleanliness of area.
Table 1 shows the differences in means for several selected
variables by pre-and post-9/11 attack. Vacation trips have significantly
decreased from 67.2% to 62.6%. Trips by airplane also have decreased
significantly from 12.1% to 10.1% while there is no change in auto
trips. Visitors have stayed less nights (from 5.28 to 4.99) and spent
less (from $203.55 to $190.68) during their stays. The portion of
repeated visitors has increased which was measured by number of visits
(from 2.63 to 2.84). It has the negative impact on the international
travelers. U.S. citizens increased from 88.7% to 92.0%. The number of
children in each travel group has decreased significantly from 0.6 to
0.4 persons.
The distance between origination and destination is calculated by
using US Census data, based on the ZIP code information that each
respondent provided. ZIP code coordinates, latitude and longitude, were
obtained from the US Census STF-3 data sets. Given the latitudes and
longitudes of the two points, the great circle distance between them can
be calculated by the following formula (Paine, 1981).
d = R x arccos[sin([[pi].sub.1]) x sin([[pi].sub.2] +
cos([[pi].sub.1]) x cos([[pi].sub.2] x cos([[gamma].sub.1] -
[[gamma].sub.2])] (2)
where d = distance between the two points in km; R = radius of the
earth in km, which is 6378.02km; [[pi].sub.1] = latitude of point 1 in
radians; [[pi].sub.2] = latitude of point 2 in radians; [[gamma].sub.l]
= longitude of point 1 in radians; and [[gamma].sub.2] = longitude of
point 2 in radians.
THEORETICAL MODEL
This analysis assumes that a tourist's utility can be
described in the following utility function
U = f(V,X) (3)
where V is the number of visits to a specific recreation area over
a certain period of time, and X is a vector of all other goods and
services. Demand for recreation can be expressed in various ways. One
measure can be the nights of spent in a specific area or the length of
stay, which is represented by V in this model. In order to differentiate
outside visitors from local residents, only those who spent at least one
night are considered in the estimation. The budget constraint can be
specified as follows:
Y = pX + [alpha]V + [beta]T (4)
where Y = income; p = a vector of prices of other goods and
services; X = a vector of other goods and services; [alpha] = price of
demand for recreation, which is the actual cost per day; V = number of
nights spent in a given period of time; [beta] = total cost per trip;
and T = number of trip in a given period. Utility maximization given the
budget constraint yields the following demand function for the
recreation demand, V.
V = f([alpha],T,Y,X). (5)
Assuming that recreational demand is a normal good, it is
hypothesized that V is positively related to T and Y while negatively
related to . X consists of demand shifters, which are listed in the
table shown in the section of the empirical results.
One of the response variables in X is the number of nights staying
in the area. The upper open-ended interval of the range of the variable
is '10 nights or more'. It is a very common way to define a
variable in this type of survey questionnaires. To avoid the
right-hand-side truncation bias, the censored regression model is used
to provide more accurate results. The regression is obtained by making
the mean in the preceding correspond to a classical ordinary least
square model (Greene, 1993).
EMPIRICAL RESULTS
Travel cost is usually assumed to be positively correlated with the
length of trip and negatively correlated to the frequency of trips. It
has been widely accepted that the length of trip and the frequency of
trip are substitutes in a given period of time (Font, 2000). However,
for certain destinations or types of travelers in this study, empirical
tests show that repeated visitors are likely to spend more days.
Table 2 shows the coefficient estimates and descriptive statistics from the ordinary least estimation for the number of nights for
different classes of visitors: business travelers, vacationers, and
those visiting friends and relatives (VFR).
Business travelers and vacationers arriving by airplane are more
likely to stay longer than visitors using other forms of transportation,
reflecting their higher opportunity costs for traveling. The effect of
age is also significant, however it is positively related to length of
stay for the business traveler, and negatively related to length of stay
for the vacationer. U.S. citizenship, on the other hand, increases the
length of stay for vacationers, while decreasing it for business
travelers.
Distance is another important factor in explaining length of stay
for business visitors and vacationers alike. The greater the distance
traveled, the longer the stay. The average distance of travel is 1,083.7
km (673.53 miles). The winter dummy variable has significantly positive
effects on the length of stay. Many of our winter visitors are known to
be "snow birds" who spend their summers in northern states and
winters in Florida.
"Total per Day Spending" represents the price of
recreational services, and is a significant factor in length of stay.
The negative coefficient illustrates that higher daily costs result in
shorter visits for both business travelers and vacationers. The business
travelers and vacationers that stayed the longest were those who planned
the vacation at least a month in advance, and those who had visited the
area previously. The greater the number of previous visits, the longer
the stay.
Surprisingly, annual gross income does not play an important role
in this demand model. It was hypothesized that higher-income individuals
would spend more nights, but this was not supported by the results.
CONSUMER SURPLUS
Consumer surplus is estimated to measure the changes in welfare
according to the changes in value of resources. This is represented
graphically as the area under the demand curve and above the market
price. When the average individual consumer surplus is multiplied by the
total population of beach visitors, an estimate of the total consumer
surplus for the beach is obtained. By changing value estimates of the
various determinants of the demand function, one can estimate the effect
they have on consumer surplus. Changing values generates two different
demand curves, one for each level of the determinant. The area between
these two curves is the estimate of the change in consumer surplus
caused by a change in one of the determinants. This type of analysis
allows us to estimate the change in recreational benefits that result
from changes in the determinants of visitor spending behaviors.
Consumer surplus is widely accepted as a method to measure the
changes in welfare according to the changes in value of resources
(Hausman, 1981). However, there is relatively less agreement on how to
calculate it (Bell and Leeworthy, 1990). From the above discussion, the
demand function can be re-written as follows:
V = [ZIGMA] - [gamma] P + [delta]Y (6)
where N = number of nights, P = price of recreational services, Y =
income, [ZIGMA] = sum of all demand shift factors except for Y,
multiplied by their corresponding rates of returns, and [gamma] and
[delta] are estimated parameters for price and income, respectively.
Then the consumer surplus (CS) can be estimated as follows:
CS = 1/2 ([P.sup.*] - [bar.P]) [bar.V] (7)
where [P.sup.*] = intercept, and [bar.P] the corresponding price
with mean value of P dependent variable, [bar.V]. To estimate CS, mean
values of demand shifters except for V P are plugged into the demand
function. This yields
V = 6.5512 - 0.0118 P (8)
Then, the demand equation is obtained as
P = 555.19 - 84.75 V (9)
Plugging the mean value of V, which is 5.0227, into the above
equation, then.
The consumer surplus is estimated
CS = ($555.19 - $129.52) (5.0227) (0.5) = $1,069.01. (10)
Then, we can estimate the value of one day spent in the recreation
area, which would be $69.9 [= 1069.01 (5.0227 3.0449)] per person when
the average size of a travel group is 3.0449. Similarly, we could
estimate the value of one day spent in the area for the business
travelers and VFR, which are $78.58 and $49.84, respectively.
Using bed tax data for the local area we estimate that
approximately 1.8 million tourists visit the Pensacola area each year.
Survey responses tell us that our beaches draw tourists to the Pensacola
area. Multiplying the number of visitors by the consumer surplus of
$69.9 experienced by the average tourist, we estimate the total consumer
surplus, or excess recreational value of the area beaches, at
$125,820,000.
CONCLUSIONS
A recreation demand function is estimated for tourist areas in
northwest Florida. Visitor behavior patterns, broken down by the purpose
of trip, such as business, vacation, and visits to friends and relatives
(VFR), are examined. Policymakers who need to know that the benefits of
beach protection programs are greater than the cost to taxpayers have
been provided with calculations of the consumer surplus, or recreational
value, of the beaches in the Pensacola area of Northwest Florida.
Tourism directors who need to allocate advertising expenditures have
been provided with a description of important determinants of visitor
length of stay, which is directly related to total visitor spending.
Determinants that are shown to have statistically significant
positive impact on length of stay for vacationers include air mode of
travel, U.S. citizenship, distance traveled, number of visits in the
past five years, and length of time spent planning the vacation. Age was
shown to have statistically significant negative impact on length of
stay for vacationers. Annual income was found not to play an important
role in vacationer's length of stay. Business travelers were shown
to differ from vacationers in that older business travelers stayed
longer, and non-U.S. citizens here on business had a shorter length of
stay. Income has a significant positive impact on length of stay for
business travelers.
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Inhyuck "Steve" Ha, Western Carolina University
ENDNOTES
(1) In the estimation of non-market valuation, as a third category,
a discrete-choice modeling approach has been recently recognized and
used extensively, which is based on the Random Utility Model (RUM)
theory. For more details, see Feather, et al (1995), Parsons and Kealy
(1995), Pendleton and Mendelsohn (2000), and Woodward (2001).
(2) For critiques of TCM and CVM, see Eberle and Hayden (1991), and
Randall (1994).
(3) In the estimation, the visit rate, i.e., participation rate of
each zone, is estimated in the ZTCM while the actual number of visits is
estimated in the ITCM.
(4) Four visitor information centers (VIC's) are (1) Pensacola
VIC, (2) Perdido Key VIC, (3) Pensacola Beach VIC, and (4) Navarre VIC.
Table 1:. Mean Difference Tests: Before and After 9/11
Before 9/11
N Mean
Purpose of Trip
Business 6518 15.1%
Vacation 6518 67.2%
VFR 6518 17.5%
Type of Transportation
Airplane 7048 12.1%
Auto 7048 82.6%
Other Vehicle 7048 5.4%
Visiting Patterns
Number of Visits 6867 2.63
Number of Nights 7142 5.28
Spending Patterns
Per Day Spending on Lodging 4426 $88.71
Per Day Spending on Grocery 3772 $26.87
Per Day Spending on Restaurants 4879 $43.04
Per Day Spending on Entertainment 3438 $32.69
Per Day Spending on Shopping 3767 $44.73
Per Day Spending on Others 2439 $37.43
Total Per Day Spending 5305 $203.55
Tourism Destinations
No Other Destinations 7142 42.9%
Mississippi Casinos 7142 10.7%
New Orleans Area 7142 15.3%
Orlando Area 7142 7.7%
Ft. Walton Beach/Destin Area 7142 18.3%
Mobile Area 7142 12.5%
Orange Beach/Gulf Shores Area 7142 10.5%
Panama City Area 7142 13.3%
Other 7142 17.7%
Demographic Information
Age 6654 47.6
Married 7000 71.6%
White 6933 87.9%
US Citizen 6989 88.7%
Number of Children in the Household 6896 0.64
Number of Children in Travel Group 6826 0.60
Number of Adults in Travel Group 6958 2.53
Economic Information
Annual Household Gross Income 5865 59,531
After 9/11
N Mean
Purpose of Trip
Business 1379 16.6%
Vacation 1379 62.6%
VFR 1379 18.9%
Type of Transportation
Airplane 1471 10.1%
Auto 1471 82.8%
Other Vehicle 1471 7.1%
Visiting Patterns
Number of Visits 1399 2.84
Number of Nights 1483 4.99
Spending Patterns
Per Day Spending on Lodging 671 $96.49
Per Day Spending on Grocery 583 $22.48
Per Day Spending on Restaurants 833 $42.13
Per Day Spending on Entertainment 513 $32.97
Per Day Spending on Shopping 595 $43.09
Per Day Spending on Others 402 $37.26
Total Per Day Spending 894 $190.68
Tourism Destinations
No Other Destinations 1483 33.2%
Mississippi Casinos 1483 11.1%
New Orleans Area 1483 15.0%
Orlando Area 1483 5.9%
Ft. Walton Beach/Destin Area 1483 22.0%
Mobile Area 1483 13.2%
Orange Beach/Gulf Shores Area 1483 12.7%
Panama City Area 1483 13.1%
Other 1483 16.2%
Demographic Information
Age 1289 49.3
Married 1441 75.7%
White 1440 83.3%
US Citizen 1470 92.0%
Number of Children in the Household 1421 0.47
Number of Children in Travel Group 1387 0.40
Number of Adults in Travel Group 1432 2.55
Economic Information
Annual Household Gross Income 1167 $62,378
t-stat. p-value
Purpose of Trip
Business 1.377 0.169
Vacation -3.224 0.001 ***
VFR 1.142 0.254
Type of Transportation
Airplane -2.268 0.023 ***
Auto 0.219 0.826
Other Vehicle 2.414 0.016 **
Visiting Patterns
Number of Visits 2.871 0.004 ***
Number of Nights -3.169 0.002 ***
Spending Patterns
Per Day Spending on Lodging 2.300 0.021 **
Per Day Spending on Grocery -4.273 0.000 ***
Per Day Spending on Restaurants -0.588 0.557
Per Day Spending on Entertainment 0.135 0.893
Per Day Spending on Shopping -0.576 0.565
Per Day Spending on Others -0.055 0.956
Total Per Day Spending -2.006 0.045 **
Tourism Destinations
No Other Destinations -7.202 0.000 ***
Mississippi Casinos 0.517 0.605
New Orleans Area -0.287 0.774
Orlando Area -2.600 0.009 ***
Ft. Walton Beach/Destin Area 3.138 0.002 ***
Mobile Area 0.726 0.468
Orange Beach/Gulf Shores Area 2.343 0.019 **
Panama City Area -0.198 0.843
Other -1.419 0.156
Demographic Information
Age 3.444 0.001 ***
Married 3.272 0.001 ***
White -4.274 0.000 ***
US Citizen 4.191 0.000 ***
Number of Children in the Household -5.373 0.000 ***
Number of Children in Travel Group -6.205 0.000 ***
Number of Adults in Travel Group 0.712 0.477
Economic Information
Annual Household Gross Income 2.311 0.021 *
Source: VISIT System Data, April 2003
Note: Only overnight visitors are included.
*** significant at 99%, ** at 95, and * 90% levels
Table 2: Coefficient Estimates of Linear Regression
Model: Number of Nights
Business
Overall Only
Constant 4.1060 *** 3.5256 ***
Business 0.3164 --
Vacation -0.0788 ** --
Airplane 0.6497 *** 1.3440 ***
Automobile -0.3319 *** 0.3894
Age -0.0210 *** 0.0409 ***
Age-squared 0.0003 *** -0.0007 ***
US citizen 0.1470 -0.6020 ***
Annual Income -2.63E-06 *** 0.0000 ***
Number of Visits 0.2691 *** 0.2266 ***
Distance 0.0006 *** 6.96E-04 ***
Spring -0.5176 *** -0.0910
Summer -0.2159 ** 0.8121 ***
Fall -0.6083 *** 0.4588 *
Planned at least a month ago 1.1346 *** 1.3512 ***
Pensacola Area Only 0.3137 *** 0.2219
Total per day spendings -0.0125 *** -0.0114 ***
Total spendings 0.0019 *** 0.00162 ***
Mean of Dependent 5.1475 5.4617
Number of Observations 5614 823
p-value <0.0001 <0.0001
Adjusted R-square 0.4482 0.3768
Vacation Visit Friends
Only or Relatives
Constant 3.7380 *** 5.5610 ***
Business -- --
Vacation -- --
Airplane 0.5072 ** 0.1387
Automobile -0.2914 *** -0.8371 ***
Age -0.0318 *** -0.0121
Age-squared 0.0005 *** 0.0001
US citizen 0.4829 *** -0.1889
Annual Income 2.01E-07 -3.98E-06 **
Number of Visits 0.2443 *** 0.2852 ***
Distance 0.0005 *** 0.0005 **
Spring -0.6386 *** -0.2137
Summer -0.5218 *** 0.1225
Fall -0.8170 *** -0.5328 ***
Planned at least a month ago 1.1792 *** 0.3832 ***
Pensacola Area Only 0.4019 *** 0.0633
Total per day spendings -0.0118 *** -0.0184 ***
Total spendings 0.00185 *** 0.00272 ***
Mean of Dependent 5.0227 5.3868
Number of Observations 3833 954
p-value <0.0001 <0.0001
Adjusted R-square 0.5067 0.3948
*** significant at 99%, ** at 95, and * 90% levels
Source: VISIT System Data, April 2003