UNIVERSITY OF CALIFORNIA, LOS ANGELES
Department of Economics

Evolution of Travel Cost Models for the Valuation of Environmental Goods 


The following is an inventory of selected papers concerning the Travel Cost (TC) Method. Perusing this list will give you an idea of the evolution of thought concerning this method over the course of the last couple of decades. Most innovations in this literature have been incremental, rather than sweeping. Many different researchers have contributed to the now substantial body of empirical experience with these specifications. These papers are listed roughly in reverse chronological order. I will attempt to update these lists annually.

This inventory is intended for students in UCLA's graduate sequence in Environmental and Natural Resource Economics.


Wen, Jie, "Evaluation of Tourism and Tourist Resources in China: Existing Methods and Their Limitations," International Journal of Social Economics; 25(2-3-4), 1998, pages 467-85.

Abstract: The evaluation of both tourism and tourist resources in China remains problematic on the macro-level, only the positive contributions of tourism have been evaluated, ignoring the aspects of disparities between the east coast and the inland area, inbound tourism and domestic tourism, nature-based and city-based tourism, positive and negative effects from tourism and so on. On the micro-and site-specific level, tourist resources characterised by non-marketable and non-use values are not properly evaluated, exposing these fragile resources to the plight of exploitation. Commercialisation of tourist resources, including natural environment and ethnic cultures, threatens further development of tourism in China. The limited applicability of the travel cost and the contingent valuation method in measuring the value of recreation sites in China is discussed.

Englin, Jeffrey; Boxall, Peter; Watson, David, "Modeling Recreation Demand in a Poisson System of Equations: An Analysis of the Impact of International Exchange Rates," American Journal of Agricultural Economics; 80(2), May 1998, pages 255-63.

Abstract: The authors extend count data travel cost modeling by developing a utility theoretic system of semilogarithmic recreation demand equations. The restrictions required to make the system utility theoretic are applied during estimation. The model is applied to individual wilderness recreation trips in a system of four Canadian wilderness parks. The resulting demand system is used to examine the impacts of changing U.S.-Canadian currency exchange rates on participation and welfare of U.S. recreationists.

Kennedy, John, "'A Travel Cost Analysis of the Value of Carnarvon Gorge National Park for Recreational Use': Comment," Australian Journal of Agricultural and Resource Economics; 42(3), September 1998, pages 263-65.

Beal, Diana, "'A Travel Cost Analysis of the Value of Carnarvon Gorge National Park for Recreational Use': Reprise," Australian Journal of Agricultural and Resource Economics; 42(3), September 1998, pages 267-68.

Hanley, Nick; Wright, Robert E.; Adamowicz, Vic, "Using Choice Experiments to Value the Environment: Design Issues, Current Experience and Future Prospects," Environmental and Resource Economics; 11(3-4), April-June 1998, pages 413-28.

Abstract: In this paper we outlines the "choice experiment" approach to environmental valuation. This approach has its roots in Lancaster's characteristics theory of value, in random utility theory and in experimental design. We show how marginal values for the attributes of environmental assets, such as forests and rivers, can be estimated from pair-wise choices, as well as the value of the environmental asset as a whole. These choice pairs are designed so as to allow efficient statistical estimation of the underlying utility function, and to minimise required sample size. Choice experiments have important advantages over other environmental valuation methods, such as contingent valuation and travel cost-type models, although many design issues remain unresolved. Applications to environmental issues have so far been relatively limited. We illustrate the use of choice experiments with reference to a recent U.K. study on public preferences for alternative forest landscapes. This study allows us to perform a convergent validity test on the choice experiment estimates of willingness to pay.

Fix, Peter; Loomis, John, "Comparing the Economic Value of Mountain Biking Estimated Using Revealed and Stated Preference," Journal of Environmental Planning and Management; 41(2), March 1998, pages 227-36.

Abstract: This research compares non-market valuation techniques by applying a count data travel cost method (TCM) and dichotomous choice contingent valuation method (CVM) to a form of recreation for which it has not been previously applied: mountain biking. Due to mountain biking's increasing popularity these estimates of benefits may be useful in addressing conflicts. One of the most famous mountain biking sites in the U.S. (Moab, Utah) was chosen as the site for which to apply these two models. The benefits that were estimated for trips taken in the spring of 1996 are US$205 and US$235, for the TCM and CVM, respectively. These values are not statistically different using conventional significant levels.

Greene, Gretchen; Moss, Charles B.; Spreen, Thomas H., "Demand for Recreational Fishing in Tampa Bay, Florida: A Random Utility Approach," Marine Resource Economics; 12(4), Winter 1997, pages 293-305.

Abstract: An estimation of demand for recreational fishing in Tampa Bay, Florida, can facilitate the environmental management of the bay. A nested random utility travel cost model is used to estimate access values. Results suggest that average annual values for the bay alone are $18.14 and $0.048 for participants and nonparticipants, respectively.

Englin, Jeffrey; Lambert, David; Shaw, W. Douglass, A Structural Equations Approach to Modeling Consumptive Recreation Demand, Journal of Environmental Economics and Management; 33(1), May 1997, pages 33-43.

Abstract: In this analysis we develop a two equation structural model of a count travel cost model of recreational angling demand and angling success. By modeling the two equations jointly we avoid the difficulties associated with the usual approach which estimates the demand for recreational fishing sites assuming the existence of an exogenous measure of fishing quality. Our analysis explicitly develops the joint log likelihood function that combines the two processes. We estimate our model using full information maximum likelihood methods.

Kling, Catherine L., The Gains from Combining Travel Cost and Contingent Valuation Data to Value Nonmarket Goods, Land Economics; 73(3), August 1997, pages 428-39.

Abstract: This paper provides a critical assessment of the improvements in precision and bias to welfare measures from combining contingent valuation and travel cost data. Simulation experiments are performed using a variation of the model first suggested by T. Cameron (1992) with a focus on identifying likely lower bounds on these gains. In addition to examining single bounded contingent valuation as a component of the combined model, this paper investigates additional gains that may accrue from employing a double bounded variant of contingent valuation. Sizable gains in both bias and precision are found in the simulation experiments. The results suggest that additional investigation into these models is warranted.

Roe, Brian; Boyle, Kevin J.; Teisl, Mario F., Using Conjoint Analysis to Derive Estimates of Compensating Variation, Journal of Environmental Economics and Management; 31(2), September 1996, pages 145-59.

Abstract: We use several approaches to derive estimates of Hicksian compensating variation from conjoint ratings data. The different estimation approaches produced mixed results with respect to consistency with utility theory, statistical significance of key variables, magnitude of welfare estimates, and confidence bounds on welfare estimates. These findings suggest conjoint analyses are not a panacea for the problems being debated regarding contingent valuation and travel cost methodologies, and conjoint questions appear to share many of the advantages and disadvantages associated with dichotomous choice, contingent valuation questions. (c) 1996 Academic Press, Inc.

Smith, V. Kerry, Estimating economic values for nature: Methods for non- market valuation, New Horizons in Environmental Economics series. Cheltenham, U.K.: Elgar; distributed by Ashgate, Brookfield, Vt., 1996.

Abstract: Thirty two previously published papers examine measures of the economic values for the services of nature and how those values are constructed from people's choices. Papers focus on overviews of economic theory and econometric methods of environmental valuation; travel cost recreation demand models; hedonic models; household production models; the contingent valuation method; and the agenda of future research on nonmarket valuation. Smith is the Arts and Sciences Professor of Environmental Economics at Duke University and a University Fellow with Resources for the Future.

Layman, R. Craig; Boyce, John R.; Criddle, Keith R., Economic Valuation of the Chinook Salmon Sport Fishery of the Gulkana River, Alaska, under Current and Alternate Management Plans, Land Economics; 72(1), February 1996, pages 113-28.

Abstract: This paper extends the standard travel cost method to develop estimates of the economic value of recreational chinook salmon fishing on the Gulkana River, Alaska, under existing and hypothetical fishery management conditions. Respondents were asked to state how the number of trips that they took to the study area would change if alternative fishery management practices were imposed. Three hypothetical management conditions were considered: a doubled 1992 sport fish harvest, a doubled daily bag limit, and a season bag limit of five. Each of the hypothetical fishery management conditions provides increased economic returns to anglers.

Englin, Jeffrey; Cameron, Trudy Ann; Poisson Regression Analyses with Individual Panel Data, Augmenting Travel Cost Models with Contingent Behavior Data:, Environmental and Resource Economics; 7(2), March 1996, pages 133- 47.

Boxall, Peter C.; Adamowicz, Wiktor L.; Tomasi, Theodore, A Nonparametric Test of the Traditional Travel Cost Model, Canadian Journal of Agricultural Economics; 44(2), July 1996, pages 183-93.

Shaw, W. Douglass; Jakus, Paul, Travel Cost Models of the Demand for Rock Climbing, Agricultural and Resource Economics Review; 25(2), October 1996, pages 133-42.

Abstract: In this paper we estimate the demand for rock climbing and calculate welfare measures for changing access to a number of climbs at a climbing area. In addition to the novel recreation application, we extend the travel cost methodology by combining the double hurdle count data model (DH) with a multinational logit model of site choice. The combined model allows us simultaneously to explain the decision to participate and to allocate trips among sites. The application is to climbers who visit one of the premiere rock climbing areas in the northeastern United States and its important substitute sites. We also estimate a conventional welfare measure, which is the maximum WTP to avoid loss of access to the climbing site.

Choe, KyeongAe; Whittington, Dale; Lauria, Donald T., The Economic Benefits of Surface Water Quality Improvements in Developing Countries: A Case Study of Davao, Philippines, Land Economics; 72(4), November 1996, pages 519-37.

Abstract: Two nonmarket valuation techniques the contingent valuation method and travel cost model are used to estimate the economic value that people in Davao, Philippines, place on improving the water quality of the rivers and sea near their community. The contingent valuation and travel cost estimates are very close to each other and are quite low, both in absolute terms and as a percentage of household income. These findings suggest that water pollution control is simply not a high priority for Davao's residents, and support the argument that households' willingness to pay for environmental amenities, such as improved water quality, is low.

Bowker, J. M.; English, Donald B. K.; Donovan, Jason A., Toward a Value for Guided Rafting on Southern Rivers, Journal of Agricultural and Applied Economics; 28(2), December 1996, pages 423 32.

Abstract: This study examines per trip consumer surplus associated with guided whitewater rafting on two southern rivers. First, household recreation demand functions are estimated based on the individual travel cost model using truncated count data regression methods and alternative price specifications. Findings show mean per trip consumer surplus point estimates between $89 and $286, depending on modeling assumptions and river quality. Magnitudes of these surpluses are very dependent on assumptions about the opportunity cost of time.

McKean, John R.; Walsh, Richard G.; Johnson, Donn M., Closely Related Good Prices in the Travel Cost Model, American Journal of Agricultural Economics; 78(3), August 1996, pages 640-46.

Abstract: This travel cost demand study included prices for closely related goods such as money and time costs of on site time, on site purchases, and other trip activities. A disequilibrium labor market model was estimated. The sample was mainly composed of persons who did not substitute earned income for leisure time. The few persons who had the capability to substitute time for money were excluded from the sample. Consumer surplus was estimated to be $69.00 per trip using the expanded model. A model using only the conventional travel cost variables resulted in estimated surplus per trip of $45.00.

Bateman, Ian J. et al., Measurement Issues in the Travel Cost Method: A Geographical Information Systems Approach, Journal of Agricultural Economics; 47(2), May 1996, pages 191 205.

Abstract: A review of the travel cost (TC) literature shows that the base measurements of travel time and distance underpinning many studies are often obtained via crude simplifications. This paper presents an application of the TC method conducted using geographical information system (GIS) software. This permits superior measurement of both travel time and distance providing a more accurate and realistic basis for valuations.

Perez y P. Jerez, Luis et al., La valeur d'usage a des fins de loisir des espaces proteges en Espagne. Comparaison entre methode des couts de deplacement et methode d'evaluation contingente. (Recreational Use Value of Protected Areas in Spain. A Comparison of the Travel Cost and Contingent Valuation Method. With English summary.), Cahiers d'Economie et Sociologie Rurales; 0(41), 4th Trimester 1996, pages 39-56.

Abstract: Valuation of environmental goods, such as protected natural areas, allows us to obtain information that could be included in cost benefit analysis as an aid for public sector decision taking processes. This article presents an application of the contingent valuation method and of the travel cost method. We remark that the results are close to those obtained in other applications found in environmental goods valuation literature and detect certain sensibility of the results we obtain depending on the hypothesis considered.

Grover, Stephen E., Modelling Recreation Demand: An Empirical Analysis Using the Nested Logit Travel Cost Model, University of Wisconsin, Ph.D. 1996

Englin, Jeffrey; Cameron, Trudy Ann, "Augmenting Travel Cost Models with Contingent Behavior Data: Poisson Regression Analyses with Individual Panel Data," Environmental and Resource Economics, 7(2), March 1996, pp. 133-47.

McKean, John R.; Johnson, Donn M.; Walsh, Richard G., "Valuing Time in Travel Cost Demand Analysis: An Empirical Investigation," Land Economics, 71(1), February 1995, pp. 96-105.

Abstract: The opportunity cost of time is usually a significant part of the price variable in the travel cost demand model. Thus, its accurate measurement is important to the estimation of demand and benefit valuation for nonmarket resources. This paper empirically tests models that assume that income is the basis for opportunity time cost with an alternative 'pooled' model based on a disequilibrium labor market for some recreationists. Acceptance of the hypothesis that disequilibrium models may be necessary for some individuals implies increased survey information requirements so that the appropriate model can be applied to each individual.

Englin, Jeffrey; Shonkwiler, J. S., "Modeling Recreation Demand in the Presence of Unobservable Travel Costs: Toward a Travel Price Model," Journal of Environmental Economics and Management, 29(3), Part 1 Nov. 1995, pp. 368-77.

Abstract: An important issue in the application of travel cost models is the construction of a travel cost variable. This paper develops an econometric approach that views travel costs as an unobserved latent variable. The latent variable approach utilizes indicators to capture the role of individual travel costs in recreational demand models. The latent variables approach has at least two advantages over conventional approaches. One, the indicators can include both traditional components such as time and distance and non-traditional components such as the scenic beauty. Second, the estimation procedure results in each indicator being valued in dollar terms. (c) 1995 Academic Press, Inc.

Hellerstein, Daniel, "Welfare Estimation Using Aggregate and Individual-Observation Models: A Comparison Using Monte Carlo Techniques," American Journal of Agricultural Economics, 77(3), August 1995, pp. 620-30.

Abstract: Due to the weak behavioral foundations of aggregate demand models, zonal travel cost models have been largely abandoned in favor of models based on individual observations. However, sample selection difficulties in individual-observation models often require the use of distribution-sensitive limited-dependent variables estimators. In this paper, the author uses Monte Carlo simulations to investigate whether the bias from aggregation is worse than possible bias from these narrowly specified estimators. Somewhat surprisingly, the results indicate that zonal models often outperform the individual-observation models, especially when using an aggregate model that incorporates intrazonal variance of the explanatory variables.

Casey, James F.; Vukina, Tomislav; Danielson, Leon E., "The Economic Value of Hiking: Further Considerations of Opportunity Cost of Time in Recreational Demand Models," Journal of Agricultural and Applied Economics, 27(2), December 1995, pp. 658-68.

Abstract: The paper tests two alternative specifications for the opportunity cost of time in travel cost models. The standard travel cost survey design is enriched to include a contingent valuation type question about peoples' willingness to accept compensation to forgo a precisely defined recreational experience. It is hypothesized that individually revealed value of time more appropriately reflects the opportunity costs of time associated with a particular aspect of recreation than the wage rate which measures the trade-off between work and leisure, generally. The results seem to indicate a better overall fit for the models with the elicited value of individual consumer's time than for the models with the more traditional hourly earnings (wage rates). The importance of the correct measurement of the opportunity cost time is illustrated by showing that estimated consumer surpluses based on two different value of time measurements differ significantly.

Randall, Alan, "A Difficulty with the Travel Cost Method," Land Economics, 70(1), February 1994, pp. 88-96.

Abstract: Instead of observable prices of recreational visits, travel cost method researchers are obliged to substitute researcher assigned visitation cost estimates. The author argues that visitation costs are inherently subjective but are ordinally measurable so long as the cost increases with distance travelled. It follows that the traditional travel cost method yields only ordinally measurable welfare estimates. The household production function formulation of the travel cost method 'resolves' this problem only by imposing severe and untestable analytical restrictions. The travel cost method cannot serve as a stand-alone technique for estimating recreation benefits; rather, it must be calibrated using information generated with fundamentally different methods.

Hellerstein, Daniel, "Intertemporal Data and Travel Cost Analysis," Environmental and Resource Economics, 3(2), April 1993, pp. 193-207.

Hellerstein, Daniel; Mendelsohn, Robert, "A Theoretical Foundation for Count Data Models," American Journal of Agricultural Economics, 75(3), August 1993, pp. 604-11.

Abstract: This paper develops a theoretical foundation for using count data models in travel cost analysis. Two micro models are developed: a restricted choice model and a repeated discrete choice model. The authors show that both models lead to identical welfare measures.

Morey, Edward R.; Rowe, Robert D.; Watson, Michael, "A Repeated Nested-Logit Model of Atlantic Salmon Fishing," American Journal of Agricultural Economics, 75(3), August 1993, pp. 578-92.

Abstract: Participation and site choice for Atlantic salmon fishing are modeled in the context of a repeated three-level nested-logit model. Consumer's surplus measures are derived for different levels of species availability in the Penobscot River, the most important salmon river in New England. For comparison, six other travel-cost models are estimated. These include restrictive cases of the nested-logit model, a partial demand model, and two single-site demand models. Comparisons across these models indicate the importance of modeling the participation decision, including income effects, and of adopting a nested-logit structure rather than a single-level logit structure.

Agnello, Richard J.; Han, Yunqi, "Substitute Site Measures in a Varying Parameter Model with Application to Recreational Fishing," Marine Resource Economics, 8(1), Spring 1993, pp. 65-77.

Abstract: This paper employs a varying parameter travel cost model to determine the economic valuation of fishing trips and catch for a sample of Long Island anglers. Substitution measures in the model are characterized in terms of the number and the quality of proximate alternative sites. This treatment of substitution as a site rather than an individual characteristic helps to define a site's uniqueness and in addition provides a feasible means of capturing substitution effects when measures of substitution at an individual level are not available. Per trip consumer surplus and changes in consumer surplus due to catch changes are computed and distinguished by controls for the availability and quality of substitute sites. Consumer surplus and the valuation of changes in catch are found to be substantially lower when controlling for substitution effects which in agreement with most previous studies.

Smith, V. Kerry, "Welfare Effects, Omitted Variables, and the Extent of the Market," Land Economics, 69(2), May 1993, pp. 121-31.

Abstract: This paper offers an economic interpretation of Catherine L. Kling's (1989) finding that single-price change measures of consumer surplus will provide an unbiased measure for a multiple-price change, provided the prices are perfectly correlated. The explanation lies in recognizing that correlation in this case serves to define the commodity extent-of-the-market. Using this link, the paper demonstrates how the insights involved in defining general equilibrium demand functions or equivalently residual demand models can be adapted to fit the issues raised with travel cost models in accounting for the effects of substitutes.

Dobbs, Ian M., "Adjusting for Sample Selection Bias in the Individual Travel Cost Method," Journal of Agricultural Economics, 44(2), May 1993, pp. 335-42.

Dobbs, Ian M., "Individual Travel Cost Method: Estimation and Benefit Assessment with a Discrete and Possibly Grouped Dependent Variable," American Journal of Agricultural Economics, 75(1), February 1993, pp. 84-94.

Abstract: The trip/visit variable in the individual travel cost method is often regarded as discrete. Furthermore, it is often reported in surveys as a grouped variable (the number of visits reported falling into one of several classes). This paper develops a travel cost model that takes account of discreteness and grouping in both demand and benefit estimation. A case study and associated simulations are then reported, which indicate the potential extent of bias that may arise from ignoring discreteness/grouping in demand and benefit estimation. The information loss involved in varying the size of visit classes is also examined.

McConnell, K. E., "Model Building and Judgment: Implications for Benefit Transfers with Travel Cost Models," Water Resources Research, 28(3), March 1992, pp. 695-700.

Hellerstein, Daniel, "The Treatment of Nonparticipants in Travel Cost Analysis and Other Demand Models," Water Resources Research, 28(8), August 1992, pp. 1999-2004.

Cameron, Trudy Ann, "Combining Contingent Valuation and Travel Cost Data for the Valuation of Nonmarket Goods," Land Economics, 68(3), August 1992, pp. 302-17.

Abstract: The travel cost method has long been used to infer the economic value of nonmarket resources and public goods. More recently, contingent valuation survey methods have gained popularity for eliciting these values. Here, contingent valuation survey responses are combined with travel cost method data on actual market behavior to estimate jointly both the parameters of the underlying utility function and its corresponding ordinary demand function. This is a prototypical empirical example of a new modeling strategy, variants of which should prove useful in many applications, especially where reliance on a single valuation method is undesirable.

Mendelsohn, Robert et al., "Measuring Recreation Values with Multiple Destination Trips," American Journal of Agricultural Economics, 74(4), November 1992, pp. 926-33.

Abstract: Traditional travel cost analysis has either ignored multiple destination trips or arbitrarily allocated trip costs across visited sites. In this paper, combinations of multiple destinations are treated as unique sites and incorporated into a demand system. Empirical demand functions for multiple destination trips that include Bryce National Park are estimated. Consumer surplus calculations for single destination and multiple destination trips are compared. Coauthors are John Hof, George Peterson, and Reed Johnson.

McConnell, K. E., "On-Site Time in the Demand for Recreation," American Journal of Agricultural Economics, 74(4), November 1992, pp. 918-25.

Abstract: The standard travel cost model has treated on-site time ambiguously over the years. This paper shows how to handle on-site time by exploring the implications of two assumptions in the travel cost model: first, people choose the amount of time that they spend on a site and, second, the time spent on-site is exogenous. This paper uses a duality result to show that when on-site time is chosen, the standard travel cost demand function takes a particularly simple form. With slight modification, standard estimation and welfare calculations continue to hold.

Hanley, Nick; Ruffell, Robin, "The Valuation of Forest Characteristics," Queen's Institute for Economic Research Discussion Paper: 849, March 1992, 45 pages.

Abstract: Most work on valuing the recreational benefits of public forests has concentrated on arriving at consumers surplus per visit figures, using either the travel cost method, or contingent valuation. We use both methods to try and explain the variation in consumers surplus across different forest types, by placing values on the physical characteristics of individual forests. These characteristics are also used to explain total visits to a given forest. Both maximum likelihood and ordinary least squares estimates are presented.

Smith, V. Kerry, "Welfare Effects, Omitted Variables, and the Extent of the Market," Resources for the Future, Quality of the Environment Division Discussion Paper: 92 16, April 1992, 26 pages.

Abstract: This paper offers an economic interpretation of Kling's finding that single price change measures of consumer surplus will provide an unbiased measure for a multiple price change, provided the prices are perfectly correlated. The explanation lies in recognizing that correlation in this case serves to define the commodity extent of the market. Using this link, the paper demonstrates how the insights involved in defining general equilibrium demand functions or equivalently, residual demand models, can be adapted to fit the issues raised with travel cost models in accounting for the effects of substitutes. To illustrate the proposal, a comparison is offered between two different price based ways of incorporating substitutes relative to the quantity based residual demand framework proposed in the paper.

Smith, V. Kerry; Desvousges, William H., "The Generalized Travel Cost Model and Water Quality Benefits: A Reconsideration," in Markandya, Anil, Richardson, Julie (eds.) Environmental economics: A reader. New York: St. Martin's Press, 1992, pp. 184-93.

Willis, K. G., Garrod, G. D., "An Individual Travel Cost Method of Evaluating Forest Recreation," Journal of Agricultural Economics; 42(1), January 1991, pp. 33-42.

Abstract: Consumer surplus for outdoor recreation has traditionally been estimated by a Clawson-Knetsch travel-cost method. This paper presents zonal consumer-surplus estimates for visitors to a number of forests and compares these estimates to those derirved from individual visitor observations. Both travel-cost procedures are used to assess the magnitude of recreational benefits and are found to produce widely different consumer-surplus estimates. This raises questions about research methodology and has implications for the value of recreation associated with forestry and its contributions to the rate of return on forest investment.

Wetzel, James N., "The Welfare Effects of Omitting Substitute Prices and Qualities from Travel Cost Models: Comment," Land Economics, 67(1), February 1991, pp. 130-31.

Kling, Catherine L., "The Welfare Effects of Omitting Substitute Prices and Qualities from Travel Cost Models: Reply," Land Economics, 67(1), February 1991, pp. 132-33.

Smith, V. Kerry; Palmquist, Raymond B.; Jakus, Paul, "Combining Farrell Frontier and Hedonic Travel Cost Models for Valuing Estuarine Quality," Review of Economics and Statistics, 73(4), November 1991, pp. 694-99.

Abstract: This paper extends the Brown-Mendelsohn hedonic travel cost model by estimating the travel cost function for each recreationist as a technically efficient frontier. It also constrains the marginal prices for desirable characteristics to be nonnegative. The model is used to value improvements in the quality of sport fishing in the Albemarle-Pamlico Estuary in North Carolina. The application compares the performance of the frontier hedonic travel cost with ordinary least squares estimates, and finds the former to be free of problems identified in the literature and to provide more plausible and robust benefit estimates for quality improvements.

Willis, Ken G.; Garrod, Guy, "Valuing Open Access Recreation on Inland Waterways: On-Site Recreation Surveys and Selection Effects," Regional Studies, 25(6), December 1991, pp. 511-24.

Abstract: In addition to forming an important part of the nation's transport and drainage systems, Britain's network of inland waterways provides considerable social benefits from its use in recreation. This paper investigates the use of micro data on individual travel-cost observations to value non-priced waterway recreation on a sample of sites throughout England. The use of on-site recreation user surveys to value open-access facilities raise questions about election effects. The magnitude of specification error is revealed and a maximum-likelihood model corrects for bias. Results show that lower-bound estimates of consumer surplus for recreation exceed government subsidies to waterways and canals.

Parsons, George R., "A Note on Choice of Residential Location in Travel Cost Demand Models," Land Economics, 67(3), August 1991, pp. 360-64.

Englin, Jeffrey; Mendelsohn, Robert, "A Hedonic Travel Cost Analysis for Valuation of Multiple Components of Site Quality: The Recreation Value of Forest Management," Journal of Environmental Economics and Management, 21(3), November 1991, pp. 275-90.

Abstract: One benefit of managing forests is that one can alter the qualities of sites. The value of changing site qualities, however, is generally not known. This paper develops a formal hedonic travel cost model which can be used to estimate the value of both marginal and non-marginal changes to sites. The approach accommodates multiple simultaneous changes in site characteristics. Estimating this model using a set of permits from wilderness areas leads to revealed preference estimates of the recreational value of clear-cuts, old-growth, and nine other wilderness attributes.

Eberle, W. David; Hayden, F. Gregory, "Critique of Contingent Valuation and Travel Cost Methods for Valuing Natural Resources and Ecosystems," Journal of Economic Issues, 25(3), September 1991, pp. 649-87.

Abstract: The critique of the contingent valuation method and travel cost method as appraisal methodologies for measuring value of ecosystems concludes neither method can be legitimized in a theoretical or applicable sense. The first section critiques the contingent valuation and travel cost methods in the context of the neoclassical paradigm. The second section applies psychometric standards to evaluate the contingent valuation method. The final section applies the principles of general systems analysis to the contingent valuation method and travel cost method. The utilization of general systems analysis is consistent with the understanding that ecosystems are systems which conform to system principles.

Hellerstein, Daniel M., "Using Count Data Models in Travel Cost Analysis with Aggregate Data," American Journal of Agricultural Economics, 73(3), August 1991, pp. 860-67.

Abstract: In order to control for censoring and the integer nature of trip demand, the use of count data models in travel cost analysis is attractive. Two such models, the Poisson and negative binomial, are discussed. Robust estimation techniques that loosen potentially stringent distributional assumptions are also reviewed. For illustrative purposes, several count data models are used to estimate a county-level travel cost model using permit data from the Boundary Waters Canoe Area.

Stynes, Daniel J., "A Note on Population Distributions and the Travel Cost Method," in Johnson, Rebecca L., and Johnson, Gary V. (eds.) Economic valuation of natural resources: Issues, theory, and applications. Social Behavior and Natural Resources Series, Boulder and Oxford: Westview Press, 1990, pp. 139-49.

Agnello, R. J.; Han, Y., "Some Findings on the Valuation of Fishing Success in a Multiple-Site Travel Cost Model," in Rodrigues, A. Guimaraes (ed.) Operations research and management in fishing. NATO Advanced Science Institute Series E: Applied Sciences vol. 189, Norwell, Mass., Dordrecht and London: Kluwer Academic in cooperation with NATO Scientific Affairs Division, 1990, pp. 239-54.

Smith, V. Kerry, "Can We Measure the Economic Value of Environmental Amenities?," Southern Economic Journal, 56(4), April 1990, pp. 856-78.

Abstract: This paper reviews the conceptual basis for valuing environmental amenities and discusses travel cost recreation demand and hedonic property value models as strategies that rely on observed choice to measure use values for environmental resources. The growing importance of measuring nonuse values is noted because people experience satisfaction from environmental resources without actually using them. Nonuse values do not require a choice, so measuring them requires analyzing other behavioral indicators: conversation and the adaptations people make as they learn. Recent advances are described in using surveys as conversational sources of information about people's values within a contingent valuation framework.

McConnell, K. E., "Double Counting in Hedonic and Travel Cost Models," Land Economics, 66(2), May 1990, pp. 121-27.

Abstract: When the value of access to a natural resource is measured by different methods, double counting sometimes occurs. This paper shows that, when travel cost models and hedonic models are used to measure the value of access, the hedonic estimate includes the travel cost estimate. This result extends to damages from pollution. Both travel cost models and hedonic models can be exploited to measure the damages from pollution in a natural resource, but the hedonic model provides a broader measure that incorporates the travel cost estimate.

Loomis, John; Cooper, Joseph, "Comparison of Environmental Quality-Induced Demand Shifts Using Time-Series and Cross-Section Data," Western Journal of Agricultural Economics, 15(1), July 1990, pp. 83-90.

Abstract: Almost all applications of the Travel-Cost-Method demand function which include site quality variable(s) are multisite models. The results of this study serve as a note of warning that using the demand equation derived from multisite cross- sectional data to perform a benefit-cost analysis of changes in quality at a single site may not accurately predict the resulting change in the number of trips to that site. In this situation, estimates of the benefits of quality improvements may be unreliable.

Bell, Frederick W.; Leeworthy, Vernon R., "Recreational Demand by Tourists for Saltwater Beach Days," Journal of Environmental Economics and Management, 18(3), May 1990, pp. 189-205.

Abstract: This analysis deals with tourists that come from significant distances to use principally beach resources. As Smith and Kipp (1980) have argued, those that use the conventional travel cost methods (TCM) do not recognize its potential spatial limitations. One day trips as used by the TCM are certainly inapplicable to those coming from significant distances, such as tourists to Florida. The empirical data are consistent with the thesis that annual consumer demand by individual tourists for Florida beach days is positively related to travel cost per trip and inversely related to on-site cost per day. There are compelling reasons for treating recreational decision-making for what we call tourists differently than for residents or those traveling relatively short distances. Employing the on-site cost demand curve for tourists using Florida's beaches, we find the daily consumer surplus to be nearly $34.00.

Smith, V. Kerry; Kaoru, Yoshiaki, "Signals or Noise? Explaining the Variation in Recreation Benefit Estimates," American Journal of Agricultural Economics, 72(2), May 1990, pp. 419-33.

Abstract: This paper uses meta analysis to summarize the benefit estimates derived from travel cost recreation demand models. After reviewing approximately 200 published and unpublished studies prepared from 1970 to 1986, 77 were found to report either consumer surplus estimates or sufficient information to derive them. Using these estimates of the consumer surplus per unit of use from each study, it was possible to evaluate the influence of variables describing the site characteristics, the activities undertaken at each site, the behavioral assumptions, and the specification decisions. The findings provide clear support for using econometric methods to summarize results from diverse empirical studies. They highlight the important research issues in model development and offer a consistency check to the procedures used in benefit transfer analyses for policy evaluations.

Smith, V. Kerry; Kaoru, Yoshiaki, "What Have We Learned since Hotelling's Letter? A Meta-analysis," Economics Letters, 32(3), March 1990, pp. 267-72.

Abstract: This paper reports the results of a meta-analysis of the estimates of the price elasticity of demand for recreation sites using the travel cost method. By using econometric methods to summarize empirical literature, meta-analysis assists in identifying research conclusions despite the non-experimental nature of most empirical research in economics. In this application, the results suggest that modeling decisions based on theory, as well as those relying on fitting criteria, were important influences to the estimated price elasticities across studies.

McKean, John R.; Revier, Charles F., "Omitted Cross-Price Variable Biases in the Linear Travel Cost Model: Correcting Common Misperceptions: An Extension," Land Economics, 66(4), November 1990, pp. 430-36.

Abstract: This paper extends the work by P. P. Caulkins, R. C. Bishop, and N. W. Bouwes (1985) on the bias in site value measurement crated when alternative site prices are omitted from the travel cost demand specification. Caulkins, Bishop, and Bouwes's analysis does not treat the issue of bias in the intercept since they adopt R. L. Gum and W. E. Martin's (1975) procedure that discards the intercept estimate. The procedure limits the applicability of Caulkins, Bishop, and Bouwes's findings. This paper reexamines bias in both the intercept and demand slope estimates. It is shown that both average and variance of price must be known in order to determine the direction and amount of bias in consumer surplus.

Adamowicz, Wiktor L.; Fletcher, Jerald J.; Graham Tomasi, Theodore, "Functional Form and the Statistical Properties of Welfare Measures," American Journal of Agricultural Economics, 71(2), May 1989, pp. 414-21.

Abstract: This paper uses Monte Carlo analysis to compare the variance of consumer's surplus for several functional forms for demand. Although the semilog and linear forms fit the data well by statistical criteria, the coefficients of variation for consumer's surplus generated by these forms were substantially larger than for the double-log and linear-log forms. While this paper is framed in the travel cost approach to recreational demand, there are implications for the choice of functional form whenever the measure of interest is a nonlinear transformation of the estimated parameters.

Kling, Catherine L., "A Note on the Welfare Effects of Omitting Substitute Prices and Qualities from Travel Cost Models," Land Economics, 65(3), August 1989, pp. 290-96.

Abstract: The bias to welfare estimates from omitting substitute prices or qualities in travel cost models is examined. The presence of bias depends on whether single or multiple site changes are examined and the degree of correlation between the omitted and included prices. For a multiple site price or quality change, even when omitted price is uncorrelated with included price, welfare estimates may be biased. Alternatively, if omitted price is perfectly correlated, the welfare measure may not be biased. The presence of the bias depends equally on both the degree of correlation and whether a single or multiple change occurs.

Smith, V. Kerry, "Taking Stock of Progress with Travel Cost Recreation Demand Methods: Theory and Implementation," Marine Resource Economics, 6(4), 1989, pp. 279-310.

Abstract: This article summarizes the conceptual development and empirical implementation of the travel cost recreation demand model by (1) describing its theoretical underpinnings, (2) outlining how theory must be adapted for the needs imposed by available data, (3) explaining issues to be considered in the future. Applications of the travel cost model have evolved from studies conducted at an aggregate level with origin zone data to an almost exclusive focus on micro data concentrating on individuals' recreational choices. These applications have broad implications. They are among the most detailed and extensive illustrations of models for corner solution and discrete choice problems in microeconomics. Equally important, they explore the theoretical and practical implications of the household production framework. Finally, they also provide examples of how a commodity's quality can be considered as an argument in describing individuals' consumption choices.

Wilman, Elizabeth A.; Perras, James, "The Substitute Price Variable in the Travel Cost Equation," Canadian Journal of Agricultural Economics, 37(2), July 1989, pp. 249-61.

Smith, V. Kerry, "Selection and Recreation Demand," American Journal of Agricultural Economics, 70(1), February 1988, pp. 29-36.

Abstract: This article compares five methods for estimating travel cost recreation demand models with microdata. The models are distinguished by their treatme nt of selection effects that arise with on-site surveys. The comparis on considers adjusting for selection effects in a variety of ways, in cluding single and double selection rule models. Both parameter and c onsumer surplus estimates are evaluated. The findings indicate that t he treatment of selection effects alone is not important for this cas e. However, the choice of an estimator does lead to large variations in per trip consumer surplus estimates.

Wilman, Elizabeth A.; Pauls, Richard J., "Sensitivity of Consumers' Surplus Estimates to Variation in the Parameters of the Travel Cost Model," Canadian Journal of Agricultural Economics, 35(1), March 1987, pp. 197-212.

Smith, V. Kerry; Kaoru, Yoshiaki, "The Hedonic Travel Cost Model: A View from the Trenches," Land Economics, 63(2), May 1987, pp. 179-92.

Abstract: Concern over the theoretical framework underlying the hedonic travel cost (HTC) model's implicit prices (as well as the process of estimating these prices) and the definitions of the quanti ties of site characteristics "consumed" by recreationists motivated this analysis. This evaluation of the HTC model considers the implic ation of the definitions of price and quantity measures for both the estimated demands for the characteristics of recreation sites and for the benefit measures based on them. The authors' results contrast wi th all the published applications of the HTC model. They indicate tha t application of the model should not be regarded as a routine implem entation of a hedonic price function.

Rosenthal, Donald H., "The Necessity for Substitute Prices in Recreation Demand Analyses," American Journal of Agricultural Economics, 69(4), November 1987, pp. 828-37.

Abstract: Omitting substitute prices from a travel cost model is shown to cause a significant bias in consumer surplus estimates. Three sets of travel cost models are developed from a comm on database representing 60,000 day users of U.S. Army Corps of Engin eer reservoirs in Kansas and Missouri. The first set of models omitte d substitute prices; the latter two sets included them. An analysis o f variance test showed that consumer surplus estimates from the first set of models were significantly higher than the other two (F E 26.2 with 2, 20 degrees of freedom). The theoretical and practical implic ations of these findings are discussed.

Wilman, Elizabeth A., "A Simple Repackaging Model of Recreational Choices," American Journal of Agricultural Economics, 69(3), August 1987, pp. 603-12.

Abstract: The traditional travel-cost model uses trips (or visits) as its measure of quantity and travel cost per trip (or visit) as its price. However, because many estimated demand curves do not hold visit length constant, they cannot be used to value increments of use. The simple repackaging model of J. Muellbauer (1974), and F. M. Fisher and K. Shell (1971) is used to derive demand curves exhibiting constant visit length from demand curves exhibiting variable visit length. The former allow the marginal quantity valuations that are necessary for management decisions involving capacity or use.

Stynes, Daniel J.; Peterson, George L.; Rosenthal, Donald H., "Log Transformation Bias in Estimating Travel Cost Models," Land Economics, 62(1), February 1986, pp. 94-103.

Kealy, Mary Jo; Bishop, Richard C., "Theoretical and Empirical Specifications Issues in Travel Cost Demand Studies," American Journal of Agricultural Economics, 68(3), August 1986, pp. 660-67.

Green, Trellis G., "Specification Considerations for the Price Variable in Travel Cost Demand Models: Comment," Land Economics, 62(4), November 1986, pp. 416-18.

Ward, Frank A., "Specification Considerations for the Price Variable in Travel Cost Demand Models: Reply," Land Economics, 62(4), November 1986, pp. 419-21.

Caulkins, Peter P.; Bishop, Richard C.; Bouwes, Nicolaas, Sr., "The Travel Cost Model for Lake Recreation: A Comparison of Two Methodsfor Incorporating Site Quality and Substitution Effects," American Journal of Agricultural Economics, 68(2), May 1986, pp. 291-97.

Abstract: This paper empirically illustrates how different assumptions regardingrecreationists' decision-making behavior affect the predicted changesin recreational activity, given a water quality improvement. A multinomial logit model, which reallocates visits away from other sitesto the improved site, predicts a smaller outward shift of the recreationist's demand curve than does the more traditional travel costmodel, which does not assume any reallocation of visits among sites.

Ward, Frank A.; Loomis, John B., "The Travel Cost Demand Model as an Environmental Policy Assessment Tool: A Review of Literature," Western Journal of Agricultural Economics, 11(2), December 1986, pp. 164-78.

Phillips, Richard A.; Silberman, Jonathan I., "Forecasting Recreation Demand: An Application of the Travel Cost Model," Review of Regional Studies, 15(1), Winter 1985, pp. 20-25.

Samples, Karl C.; Bishop, Richard C., "Estimating the Value of Variations in Anglers' Success Rates: An Application of the Multiple-Site Travel Cost Method," Marine Resource Economics, 2(1), 1985, pp. 55-74.

Caulkins, Peter P.; Bishop, Richard C.; Bouwes, Nicolaas W., "Omitted Cross-Price Variable Biases in the Linear Travel Cost Model: Correcting Common Misperceptions," Land Economics, 61(2), May 1985, pp. 182-87.

Smith, V. Kerry; Desvousges, William H., "The Generalized Travel Cost Model and Water Quality Benefits: A Reconsideration," Southern Economic Journal, 52(2), October 1985, pp. 371-81.

Brown, Gardner M., Jr.; Mendelsohn, Robert, "The Hedonic Travel Cost Method," Review of Economics and Statistics, 66(3), August 1984, pp. 427-33.

Ward, Frank A., "Specification Considerations for the Price Variable in Travel Cost Demand Models," Land Economics, 60(3), August 1984, pp. 301-05.

Ribaudo, Marc O.; Epp, Donald J., "The Importance of Sample Dicrimination in Using the Travel Cost Method to Estimate the Benefits of Improved Water Quality," Land Economics, 60(4), November 1984, pp. 397-403.

Strong, Elizabeth J., "A Note on the Functional Form of Travel Cost Models with Zones of Unequal Populations," Land Economics, 59(3), August 1983, pp. 342-49.

Menz, Fredric C., Wilton, Donald P., "Alternative Ways to Measure Recreation Values by the Travel Cost Method," American Journal of Agricultural Economics, 65(2), May 1983, pp. 332-36.

Vaughan, William J.; Russell, Clifford S.; Hazilla, Michael, "A Note on the Use of Travel Cost Models with Unequal Zonal Populations: Comment," Land Economics, 58(3), August 1982, pp. 400-407.

Bowes, Michael D.; Loomis, John B., "A Note on the Use of Travel Cost Models with Unequal Zonal Populations: Reply," Land Economics, 58(3), August 1982, pp. 408-10.

Christensen, Jens B.; Price, Colin, "A Note on the Use of Travel Cost Models with Unequal Zonal Populations: Comment," Land Economics, 58(3), August 1982, pp. 395-99.

Allen, P. Geoffrey; Stevens, Thomas H.; Barrett, Scott A., "The Effects of Variable Omission in the Travel Cost Technique," Land Economics, 57(2), May 1981, pp. 173-80.

Smith, V. Kerry, "Congestion, Travel Cost Recreational Demand Models, and Benefit Evaluation [Estimating the Benefits of Recreation under Conditions of Congestion].," Journal of Environmental Economics and Management, 8(1), March 1981, pp. 92-96.

Bowes, Michael D.; Loomis, John B., "A Note on the Use of Travel Cost Models with Unequal Zonal Populations," Land Economics, 56(4), Nov. 1980, pp. 465-70.

Smith, V. Kerry; Kopp, Raymond J., "The Spatial Limits of the Travel Cost Recreational Demand Model," Land Economics, 56(1), Feb. 1980, pp. 64-72.

Smith, V. Kerry, "Travel Cost Demand Models for Wilderness Recreation: A Problem of Non-Nested Hypotheses," Land Economics, 51(2), May 1975, pp. 103-11.


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e-mail: tcameron@econ.ucla.edu