Abstract
This paper presents individual demand models for three historic battlefield sites maintained by the US National Park Service. Preserved battlefields are valuable cultural resources that make up a significant portion of the US National Park system, but have received scant attention from economists. The demand for trips is modeled as a count data process. Visitor data for these battlefields were collected on-site, so the models account for truncation in the observed number of trips and endogenous stratification. The travel cost method, which is seeing increasing application in cultural heritage research, is used to estimate the use value of each battlefield. The results indicate an average individual willingness to pay for a battlefield trip ranging from about $8–$25, depending on the site.
Similar content being viewed by others
Notes
In the US National Park system, visits to designated national battlefields constitute 20 % of the visits to designated national historic parks, including National Battlefields, Military Parks, Historic Sites and Historical Parks, and 3 % of all visits to units in the National Park system.
The US Park Service uses several designations for national battlefields, including National Military Park, National Battlefield and National Battlefield Park, for a total of 25 preserved sites. A few other designations, particular the National Monument, are used to preserve several other battlefields. Of course, there are also innumerable military heritage sites preserved by the states and private organizations.
Several other count data model specifications were tested to accommodate overdispersion, including the Negative Binomial and Generalized Negative Binomial, both accounting for truncation and endogenous stratification (see Martinez-Espineira and Amoako-Tuffour 2008). These models occasionally had difficulty converging during the maximization routine and the estimated values for the overdispersion parameter were suggestive of, as Hilbe (2011) argues, a poor model fit. In contrast, the method presented here should be more robust to misspecification.
It is possible to investigate the robustness of this proxy and any bias by comparing the Stones River demand model results reported below, which use respondent income in calculating travel costs, with a Stones River demand model that uses respondent ZIP code median income in calculating travel costs. The results of this latter regression are not reported for brevity, but they do reveal the presence of bias from measurement error: using zip code median income, the travel cost parameter estimate is skewed toward zero and approximately 13.5 % smaller than the unbiased estimate. If Stones River visitors are representative of the other battlefield visitors, then this result implies that the ZIP code median income proxies do indeed cause bias, although the degree of bias is not too severe.
Other substitute sites fit the criteria, specifically Shiloh National Battlefield and Chickamauga and Chattanooga National Military Park, located in Tennessee, and Antietam National Battlefield, located in Maryland. However, these substitutes site were not found to play a significant role in the fitted models.
To deal with multi-destination and incidental visitors, Loomis et al. (2000) suggest including dummy variables for unplanned trips and multi-destination trips. This method was tested in the Stones River and Fort Donelson demand models and, like the results of Loomis et al., did not produce significantly different travel cost parameter estimates.
References
Alberini, A., & Longo, A. (2006). Combining the travel cost and contingent behavior methods to value cultural heritage sites: Evidence from Armenia. Journal of Cultural Economics, 30(4), 287–304.
Bedate, A., Herrero, L. C., & Sanz, J. A. (2004). Economic valuation of the cultural heritage: Application to four case studies in Spain. Journal of Cultural Heritage, 5(1), 101–111.
Boxall, P. C., Englin, J., & Adamowicz, W. L. (2003). Valuing aboriginal artifacts: A combined revealed-stated preference approach. Journal of Environmental Economics and Management, 45, 213–240.
Cameron, T. A. (1992). Combining contingent valuation and travel cost data for the valuation of nonmarket goods. Land Economics, 68(3), 302–317.
Cameron, C., & Trivedi, P. K. (1998). Regression analysis of count data. Cambridge: Cambridge University Press.
Chambers, C. M., & Whitehead, J. C. (1998). Contingent valuation of quasi-public goods: Validity, reliability, and application to valuing a historic site. Public Finance Review, 26(2), 137–154.
Choi, A. S., Ritchie, D. W., Papandrea, F., & Bennett, J. (2010). Economic valuation of cultural heritage sites: A choice modeling approach. Tourism Management, 31(2), 213–220.
Creel, M. D., & Loomis, J. B. (1990). Theoretical and empirical advantages of truncated count data estimators for analysis of deer hunting in California. American Journal of Agricultural Economics, 32(2), 434–441.
Dunkley, R., Morgan, N., & Westwood, S. (2011). Visiting the trenches: Exploring meaning and motivations in battlefield tourism. Tourism Management, 32(4), 860–868.
Englin, J., & Shonkwiler, J. S. (1995). Estimating social welfare using count data models: An application to long-run recreation demand under conditions of endogenous stratification and truncation. The Review of Economics and Statistics, 77(1), 104–112.
Gott, K. D. (2003). Where the south lost the war: An analysis of the Fort Henry: Fort Donelson Campaign. Mechanicsburg: Stackpole Books.
Haab, T. C., & McConnell, K. E. (2003). Valuing environmental and natural resources: The econometrics of non-market valuation. Cheltenham: Edward Elgar.
Heberling, M. T., & Templeton, J. J. (2009). Estimating the economic value of national parks with count data models using on-site, secondary data: The case of the great Sand Dunes National Park and Preserve. Environmental Management, 43(4), 619–627.
Hilbe, J. M. (2011). Negative binomial regression. New York: Cambridge University Press.
Jara-Díaz, S. R., Munizaga, M. A., Greeven, P., Guerra, R., & Axhausen, K. (2008). Estimating the value of leisure from a time allocation model. Transportation Research Part B, 42(10), 946–957.
Johnson, D. G., & Sullivan, J. (1993). Economic impacts of civil war battlefield preservation: An ex-ante evaluation. Journal of Travel Research, 32(1), 21–29.
Kaval, P., & Loomis, J. (2003). Updated outdoor recreation use values with emphasis on National Park Recreation. Fort Collins: Report prepared for National Park Service.
Leggett, C. G., Kleckner, N. S., Boyle, K. J., Duffield, J. W., & Mitchell, R. C. (2003). Social desirability bias in contingent valuation surveys administered through in-person interviews. Land Economics, 79(4), 561–575.
Loomis, J., Yorizane, S., & Larson, D. (2000). Testing significance of multi-destination and multi-purpose trip effects in a travel cost method demand model for Whale watching trips. Agricultural and Resource Economics Review, 29(2), 183–191.
Machlis, G. E., & Harvey, M. J. (1993). The adoption and diffusion of recreation research programs: A case study of the visitor services project. Journal of Park and Recreation Administration, 11(1), 49–65.
Martin, F. (1994). Determining the size of museum subsidies. Journal of Cultural Economics, 18(4), 255–270.
Martinez-Espineira, R., & Amoako-Tuffour, J. (2008). Recreation demand analysis under truncation, overdispersion, and endogenous stratification: An application to Gros Morne National Park. Journal of Environmental Management, 88(4), 1320–1332.
McConnell, K. E. (1992). On-site time in the demand for recreation. American Journal of Agricultural Economics, 74(4), 918–925.
National Park Service (NPS) Fiscal Year 2014 Budget Justifications. U.S. Department of the Interior. Available online at http://www.nps.gov/aboutus/upload/FY13_NPS_Greenbook. pdf. Accessed 4/12/13.
Noonan, D. S. (2003). Contingent valuation and cultural resources: A meta-analytic review of the literature. Journal of Cultural Economics, 27(3–4), 159–176.
Parsons, G. R., & Wilson, A. J. (1997). Incidental and joint consumption in recreation demand. Agricultural and Resource Economics Review, 26(1), 1–6.
Poor, P. J., & Smith, J. M. (2004). Travel cost analysis of a cultural heritage site: The case of historic St. Mary’s City of Maryland. Journal of Cultural Economics, 28(3), 217–229.
Prayaga, P., Rolfe, J., & Sinden, J. (2006). A travel cost analysis of the value of special events: Gemfest in Central Queensland. Tourism Economics, 12(3), 403–420.
Prayaga, P., Rolf, J., & Stoeckl, N. (2010). The value of recreational fishing in the great barrier reef, Australia: A pooled revealed preference and contingent behavior model. Marine Policy, 34(2), 244–251.
Shaw, D. (1988). On-site samples regression: Problems of non-negative integers, truncation, and endogenous stratification. Journal of Econometrics, 37(2), 211–223.
Ulibarri, C. A., & Ulibarri, V. C. (2010). Benefit transfer valuation of a cultural heritage site: The Petroglyph National Monument. Environment and Development Economics, 15(1), 39–57.
Visitors Services Project (VSP) (2013). Survey project reports. Available online at http://www.psu.uidaho.edu/vsp.reports.htm. Accessed on 4/17/2013.
Willis, K. G., Snowball, J. D., Wymer, C., & Grisolia, J. (2012). A count data travel cost model of theatre demand using aggregate theatre booking data. Journal of Cultural Economics, 36(2), 91–112.
Wooldridge, J.W. (2002). Econometric analysis of cross section and panel data. MIT Press, Cambridge.
Acknowledgments
The author is grateful to Margaret Littlejohn and David Vollmer of the Visitor Services Project for making the data sets available and to two anonymous referees for providing valuable comments on an earlier version of the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Melstrom, R.T. Valuing historic battlefields: an application of the travel cost method to three American Civil War battlefields. J Cult Econ 38, 223–236 (2014). https://doi.org/10.1007/s10824-013-9209-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10824-013-9209-7