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A Discrete-Count Model of Recreation Demand

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Abstract

Discrete choice models generate welfare measures resulting from environmental quality changes on a per trip basis instead of over a longer, more policy-relevant time period. Seasonal or annual welfare measures resulting from a quality change are often computed by multiplying each individual′s per trip welfare measure by the number of trips the individual is forecasted to take at the new quality level. These models are typically formulated so that increases in the quality of any site causes every individual to increase his or her participation. This paper presents an alternative method of linking the discrete choice model to a demand model, enabling welfare changes to be estimated in a conventional manner.

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... We begin with four studies: two that report ESVs by HUC (Hansen and Hellerstein 2007;Feather, Hellerstein, and Tomasi 1995). The other two ESVs are reported by USDA, ERS Farm Production Region (FPR) but were originally generated on smaller geographic scales (Huszar and Piper 1986;Ribaudo 1989). ...
... Consider the first study (Feather, Hellerstein, and Tomasi 1995), which estimated ESVs using a Willingness to Pay (WTP) function for water-based recreation. The recreational behavioral and household characteristics variables were from the 1992 National Survey of Fishing, Hunting, and Wildlife Associated Recreation. ...
... The available ESVs provide a perspective of the importance of spatial resolution of ESVs and value functions. Three studies generating HUC-level ESVs (Hansen and Hellerstein 2007;Hansen et al. 2002;and Feather, Hellerstein, and Tomasi 1995). Summing by HUC, ESVs are shown to range from zero to over $16 per ton and vary widely across the country (Figure 2). ...
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Much of the research on ecosystem service values (ESVs) has limited applicability to USDA program benefit analyses, largely because the models/data/results (1) lack spatial breadth and hence cannot be applied in national analyses of USDA programs, and (2) do not link land use changes to the changes in ESs. This article provides an overview of a set of 15 ESVs related to agriculture's impacts on erosion in order to identify (1) weaknesses in methods, data, and assumptions that limit the quality of the ESVs and means of avoiding such weaknesses in future ESV development, and (2) approaches that might improve the reliability and spatial resolution of future ESV estimates.
... Seasonal benefits estimates are calculated as the product of choice occasions (which is assumed to be fixed and exogenous) and the per trip consumer surplus estimate. Proposals by Parsons and Kealy (1995) and Feather, Hellerstein and Tomasi (1995) also begin with the RUM and use it to estimate the predicted probabilities of trips to different choice alternatives. In Parsons and Kealy (1995) the predicted probabilities weight alternative specific prices and site attributes. ...
... These price and attribute indexes are then used as explanatory variables in an aggregate trip "demand" equation. Feather, Hellerstein and Tomasi (1995) expected value of the index of site attributes with the expected value of each index for the seasonal demand. Both approaches acknowledge the link to the trip demands to be ad hoc. ...
... When the aggregate quantity index is not derived from the price index, this condition will not hold. Consider the price index for Parsons and Kealy (1995) and Feather, Hellerstein and Tomasi (1995) and divide it into the total expenditure of recreation trips during the season. The process does not yield the aggregate quantity measure they propose -trips during a season. ...
... Water quality may impact anglers' fishing experiences through effects on aesthetics and/or on the health of fish. Different measures have been employed for water and environmental quality measures including: perceptual ratings (Watson et al., 1994;Peters et al., 1995); fish advisories (Jakus et al., 1997;Montgomery & Needleman, 1997;Jones & Lupi, 1999;Parsons, Jakus, & Tomasi, 1999a); EPA standards (Parsons & Hauber, 1998;Hauber & Parsons, 2000); areas of concerns and impacts (Hausman, Leonard, & McFadden, 1995;Chen & Coslett, 1998;Jones & Lupi, 1999); and secci depth (Feather, 1994;Feather, Hellerstein, & Tomasi, 1995;Lupi & Feather, 1998). Some researchers have also used specific measures of dissolved oxygen, suspended solids, fecal coliform bacteria, acidity, phosphorous, lead, copper, pcb's, toxins and oil (see Kealy [1992, 1994], Parsons and Needleman [1992], Tay and McCarthy [1994], Kaoru [1995], Tay et al. [1996], Montgomery and Needleman [1997], and Phaneuf, Kling, and Herriges [1998] for details). ...
... Through this assumption, a researcher may simply estimate parameters that measure the change in preferences for an attribute induced by the characteristics of the individual (e.g., older anglers may have less preference for catching fish than do other anglers). Many researchers who used choice models to examine fishing site choice have employed this approach (Milon, 1988a(Milon, , 1988bCreel & Loomis, 1992;Morey et al., 1993;Parsons & Kealy, 1994;Tay & McCarthy, 1994;Feather et al., 1995;Tay et al., 1996;Greene et al., 1997;Jakus et al., 1998;Morey & Waldman, 1998;Shaw & Ozog, 1999;Morey et al., 2002;Jakus & Shaw, 2003). These past studies have all used inductive techniques to identify characteristics of individuals that explain varying preferences among anglers. ...
... As changes to the resource or management of the resource occur, the forecasts of total fishing trips may be affected by the changing utilities of fishing sites. A few researchers have employed a variant of this approach (see Parsons et al. (1999a) for a discussion of these model variants) to study fishing site choices and participation decisions (Creel & Loomis, 1992;Feather et al., 1995;Hausman et al., 1995;Lin et al., 1996;Parsons et al., 1999a). Figure 2 shows that the participation decision for fishing should depend on characteristics of the angler in addition to the expected utility from the fishing sites. ...
Article
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This article reviews published research that has focused on the recreational fishing site choices made by anglers. A conceptual model for predicting fishing site choice is developed by synthesizing the findings from past studies that employed fishing site choice models. From these and other relevant studies, six general attributes (i.e., costs, fishing quality, environmental quality, facility development, encounters with other anglers, and regulations) are identified that may influence an angler’s selection of a fishing site. The article also enhances the conceptual model by accounting for differing preferences among anglers, for complex substitution patterns among fishing sites, for fishing participation decisions, for habit forming behaviors and for differences in anglers’ awareness levels for fishing sites. Finally, the article discusses several avenues that researchers could exploit to improve on past fishing site choice model studies.The author is grateful to two anonymous reviewers for their very insightful comments and suggestions that were used to greatly improve an earlier version of this article. The author also thanks Barry Boots and Peter Boxall for their constructive comments and discussions about recreational fishing site choice model studies. Finally, the author acknowledges the support provided by the Ontario Ministry of Natural Resources and the Living Legacy Trust that provided the opportunity to write this article.
... However, there is still a debate regarding the manner in which the two component models are linked (Parsons et al. 1999, Haab and McConnell 2002, Bockstael and McConnell 2006. Applications of the model have appeared in Creel and Loomis (1992), Feather et al. (1995), Hausman et al. (1995), and Englin et al. (1996). Parsons et al. (2009) provide an elaborate description and application. ...
... The opportunity cost of travel time has been the subject of persistent debate given its implications for marginal valuations of attributes and overall economic welfare debate (Bockstael 1995). In the literature, there are two approaches to valuing the opportunity cost of travel time: empirically estimating each individual's implicit value of leisure time or shadow wage from a model of labor-leisure supply decision (Feather et al. 1995) or from a model of transportation mode choice (Hausman et al. 1995); and using an arbitrarily chosen fraction of recreationist hourly wage rate varying from 25 to 50%, with the most common being 33%. In recreation demand analysis, the later approach is used more frequently because of the ease of implementation although it has been criticized because of its arbitrary nature. ...
Article
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Wildlife management areas (WMAs) provide a significant portion of the publicly available hunting sites in Mississippi. Using discrete-count data modeling, this research investigated factors that influence a hunter’s choice of a WMA on each trip, and trips frequency during hunting season. The parameter estimates were used to determine changes in compensating variation associated with marginal changes in WMAs attributes and the closing of most visited WMAs in each physiographic region of the state. The results should promote resource management in WMAs that is consistent with the welfare of hunters.
... Despite high demand, estimates of the value of clean water are often not available at the relevant scale for proposed interventions, are time-and resource-intensive to obtain, and are difficult to link to empirical measurements of water quality (Iovanna and Griffiths 2006;Keeler et al. 2012). The most common non-market methods for estimating the value of water-quality improvements typically require time-consuming and costly surveys, either to assess respondents' stated willingness-to-pay for improved water quality (Carson and Mitchell 1993) or to gather information on past recreational behavior (sites visited and distances traveled to sites; see Feather et al. 1995;Phaneuf and Smith 2005;Egan et al. 2009). In the first case, a survey is administered to ask respondents how much they would be willing to pay for a given change in water quality (stated preference approach). ...
... This conclusion is consistent with stated preference studies using contingent valuation surveys or choice experiments, which have found evidence for a positive relationship between water quality and willingness-to-pay (Carson and Mitchell 1993;Phaneuf 2002;Johnston et al. 2003;Banzhaf et al. 2006;Viscusi et al. 2008;Van Houtven et al. 2014). Far fewer studies have evaluated the benefits of improved lake water quality using revealed preference approaches based on the surveyed behavior of recreationists (eg Feather et al. 1995;Egan et al. 2009). ...
Article
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More than 41 000 water bodies are listed as impaired by the US Environmental Protection Agency under the Clean Water Act. Implementation and enforcement of regulations designed to address these impairments can be costly, raising questions about the value of the public benefits derived from improved surface water quality. Here, we assess the recreational value of changes in water quality using freely available geotagged photographs, taken by members of the public, as a proxy for recreational visits to lakes. We found that improved water clarity is associated with increased numbers of visits to lakes and that lake users were willing to incur greater costs to visit clearer lakes. Lake users were willing to travel 56 minutes farther (equivalent to US$22 in travel costs) for every one-meter increase in water clarity in Minnesota and Iowa lakes, when controlling for other lake attributes. Our approach demonstrates the potential for social-media data to inform social–ecological research, including assessment of the recreational benefits of improvements in water quality.
... [3] Best practice appears to have converged on the use of count models to characterize total trips. 3 Recent applications include Feather, Hellerstein and Tomasi [6]; Yen and Adamowicz [26]; and Hausman, Leonard and McFadden [7]. This form of TCM only requires information on the detailed characteristics of trip choice on one choice occasion, plus the total number of trips. ...
... To date, the treatment of censored duration data in the applied literature has been limited for the most part to contexts in which the censoring occurs for only part of the sample. 6 Our ongoing research is directed at developing censoring treatments suitable for estimating the model with more general distributions. We also develop the procedures for calculating total trips from the between-trip duration models. ...
Article
In this paper we characterize seasonal recreational participation with a model of between-trip durations, a variation on seasonal participation models that provides certain advantages relative to modeling total trip counts directly. Employing a competing risk framework, we are able to model anglers? demands for trips of different lengths. The duration framework also allows us to model the effect on total trips of intra-seasonal variations in explanatory variables such as fish catch rates. Further we develop the model for a context where the available data are limited to detailed information on the most recent trip, supplemented by the return date of the survey. The proposed resolution to the challenges of left- and right-censored duration data employs the ?memoryless? exponential distribution for the duration model, which implies a Poisson count model. With another dataset, we provide an external validation test of the predicted number of angler trips from the model.
... Typically, such studies use survey data containing information on the origin and destination of an individual recreational trip. However, such data sets are time-consuming to develop and are usually only available for relatively small areas (Pouta and Ovaskainen 2006;Hausman et al. 1995;Loomis 1995;Feather et al. 1995;Parsons and Hauber 1998;Shaw and Ozog 1999;. The purpose of the present study is to investigate the determinants of recreational use of NPs at a European scale and therefore we use data from visitor monitoring studies for NPs across Europe. ...
Thesis
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Spatial assessments and mapping of ecosystem service values has become a widely addressed research issue. It is more and more used to consult land-use and conservation policies as well as landscape planning. Nevertheless, a variety of methods is used for ecosystem service value mapping, which lead to maps with a broad range of quality and accuracy. Still, little consensus has been reached on what method to use best for specific applications. This thesis provides guidelines and recommendations for future applications and research in monetary ecosystem service value mapping. Therefore, a broad literature review is presented that identifies current practices and developments in the mapping of EES values. Based on the findings, a best-practice approach for ESS value mapping is proposed that separates between the mapping of ESS supply in biophysical units and the mapping of the economic value per biophysical unit of ESS supply. The proposed approach is implemented and illustrated for recreational ecosystem services of non-urban ecosystems at European scale. Therefore, geostatistical models are developed and applied to predict recreational visitor numbers. In a second step, a spatial meta-analytic-value transfer function is developed and applied to map the monetary value per recreational visit. For both steps, primary data is combined with GIS explanatory variable layers in geostatistical regression analysis (general linear models, mixed models, spatial auto-correlation) to identify the spatial drivers of recreational use and its values. The collection of primary data, the development of spatial GIS predictor layers and the geo-statistical models are elaborated. Recommendations for future applications are given. For primary data of recreational visitor counts the collected data is presented in a geo-database and the relevant literature on visitor counting is reviewed to give recommendations in this domain. The results exemplify how to best map ESS values by incorporating the spatial dimensions of ESS supply and demand.
... However, other authors found a mistake in the way the Hausman et al. model was derived (Smith 1997;. Some studies, including Bockstael et al. 1987, Parsons and Kealy 1995, Feather et al. 1995, and Parsons et al. 2009, have offered intuitively appealing justifications for repeated-RUM choices linked to a demand function for total trips, but have stopped short of proposing any fully developed utility theory. ...
Research
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Logit models are widely used in recreation studies, but connecting the model to a theory of utility-maximizing behavior has proved difficult. Random utility maximization is widely cited as a supporting theory, but it correctly applies only to a single discrete choice, not to the series of choices that characterizes recreation behavior. I show that a logit model with repeated choices can instead be viewed as a system of demand equations satisfying integrability conditions for consistency with utility maximization. The proposed approach provides a theoretical foundation for repeated logit and permits the calculation of theoretically valid, income-adjusted welfare measures.
... Often however, decision-makers are challenged to know how and where to develop or promote recreational opportunities, because they lack good information on which mix of landscapes, activities, and experiences are demanded by local visitors and tourists. Traditionally, methods for measuring the demand for recreation opportunities involve counting the number of visitors to a place [6], measuring the cost or distance traveled to get there [7], or surveying visitors to learn about their preferences and the benefits they experience [7][8][9]. Unfortunately, the cost of collecting these data limits the number of sites that can be studied. ...
Article
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Recreation and tourism are important ways that people interact with and derive benefits from natural environments. Understanding how and where nature provides recreational opportunities and benefits is necessary for management decisions that impact the environment. This study develops and tests an approach for mapping tourism patterns, and assessing people’s preferences for cultural and natural landscapes, using user-generated geographic content. The volume of geotagged images and tweets shared publicly on Flickr and Twitter and proprietary mobile phone traffic provided by a telecommunications company, are used to map visitation rates to potential tourist destinations across Jeju Island, South Korea. We find that densities of social media posts and mobile phone traffic are all correlated with ticket sales and counts of gate entries at tourist sites. Using multivariate linear regression, we measure the degree to which attributes of the natural and built environment explain variation in visitation rates, and find that tourists to Jeju Island prefer to recreate near beaches, sea cliffs, golf courses and hiking trails. We conclude that high-resolution and spatially-explicit visitation data provided by user-generated content open the door for statistical models that can quantify recreation demand. Managers and practitioners could combine these flexible and relatively inexpensive user-generated data with more traditional survey data to inform sustainable tourism development plans and policy decisions. These methods are especially useful in the context of landscape or regional-scale ecosystem service assessments, where there is a need to map the multiple ecological, economic, and cultural benefits of the environment.
... Resource quality can relate to the overall environmental conditions or more specifically, the water quality at a waterbody . Measures of water quality may include assessments of dissolved oxygen, phosphorus (Montgomery and Needleman 1997;Phaneuf et al. 1998), and secchi depth (Feather et al. 1995;Lupi and Feather 1998). Resource quality is often related to the size of the waterbody (i.e., surface area). ...
Article
Angler populations and the waterbodies they use are patchily distributed, creating putatively complex user-resource dynamics on the landscape. Spatially and temporally dynamic relationships between anglers and waterbodies can be difficult to track, understand, and manage. We often focus our efforts on the angler (directly or indirectly) with far less attention devoted to understanding the spatial structure and dynamics of fisheries on the landscape. Waterbodies serve as dynamic attractors on the landscape, shaping landscape patterns in angler participation. We surmise that by understanding the spatial structure and dynamics of recreational fisheries we can gain tremendous insight to cross-scale patterns that shape angler behavior. We constructed waterbody-specific “anglersheds” that reveal critical links between anglers (i.e., users) and waterbodies (i.e., resources) on the landscape. Anglersheds represent the area of influence or spatiotemporal draw of anglers to a waterbody. Anglersheds were constructed from frequencies of anglers’ zip codes that were collected during on-site interviews (April-October 2014-2017) at eight prominent Nebraska waterbodies. We used these anglersheds to visually depict the spatiotemporal structure and dynamics of these recreational fisheries at multiple spatial scales and temporal levels. We then quantified these spatiotemporal dynamics by extracting multiple anglershed metrics. Anglersheds were dynamic in both space and time; anglershed features such as anglershed area (i.e., size), the degree of fragmentation (i.e., number of patches), and compactness (i.e., angler density) also differed among waterbodies. We then selected 11 independent variables that encompassed variation in the spatial socioeconomic structure, on-site attributes, and angler heterogeneity to explain changes in anglershed area for seven prominent Nebraska waterbodies. Anglershed area exhibited a positive relationship with air temperature, wind speed, and population density, but was unrelated to angler effort, catch rate, fuel price, household income, party size, precipitation, trip days, and waterbody size. Anglersheds have the potential to “unlock” a wealth of information concerning the underlying spatial structure and dynamics of recreational fisheries. This approach has the ability to expose and capture cross-scale interactions within coupled social-ecological systems. Advisors: Mark A. Kaemingk and Kevin L. Pope
... If the resources are allocated to one activity, they cannot be directed to other activities (e.g. Feather, Hellerstein, & Tomasi, 1995). ...
Article
This study examined involvement in outdoor recreation activities, focusing on whether individuals who are involved in one recreation activity at a high level are less or more likely to participate intensively in other outdoor activities. Participation in fishing in Finland was taken as a starting point. The data were obtained from a large national population survey that included 3592 respondents who participated in fishing. Three groups were distinguished based on behavioral involvement in fishing. The high behavioral involvement (HBI) group reported the highest annual frequencies for most outdoor activities. The moderate behavioral involvement (MBI) group were modestly active in fishing, and moderately active in outdoor recreation in general. Compared to the other groups, the low behavioral involvement (LBI) group participated least frequently in fishing and were also less active in many other recreational activities. The results imply that behavioral involvement in outdoor recreation is cumulative in nature. Management implications The study provides interesting findings for rural tourism and land use management: ● A high level involvement in one activity is not necessarily reducing the participation intensity in others. ● In order to understand activity clusters and key activities in a region, it is strongly recommended to investigate the whole palette of outdoor recreation activities. ● Within the group of fishermen various subgroups exist, which are characterized by different motivation and behavioral patterns. ● These insights may help in offering substitutes for fishing activities or new service packages that include a broader array of activities for people to participate, and to extend their stay and enhance their contribution to the regional economy.
... The recreational use of nature areas, such as forests can be evaluated by considering the travel cost of individuals. The travel cost models usually have two componentsa site preference model and a count model which in combination can be used to analyse welfare changes associated with quality changes (Feather et al. 1995, Hausman et al. 1995, Herriges et al. 1999, Parsons et al. 1999, Bujosa and Riera 2010, Raguragavan et al. 2013). This approach is useful to estimate demand over a given period of time or a season (Feather et al. 1995, Bujosa andRiera 2010). ...
Article
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In this paper, we investigate the factors that can influence the site choice of forest recreation. Relevant attributes are identified by using spatial data analysis from a questionnaire asking people to indicate their most recent forest visits by pinpointing on a map. The main objectives of the study are (1) to examine the preferences of visitors for different forest attributes using data from actual visits and (2) to illustrate how many alternative sites need to be considered for estimation in case of a large number of potential recreational sites. Estimation is performed using a conditional logit as well as a random parameter logit model. The variables that are found to affect the choice of forest site to a visit for recreation include: forest area, tree species composition, forest density, availability of historical sites, terrain difference, state ownership, and distance. Regarding the second research objective, we empirically show the possibility of getting consistent parameter estimates through random selection of alternatives. We find that increasing the number of alternatives increases consistency of parameter estimates.
... Typically, such studies use survey data containing information on the origin and destination of an individual recreational trip. However, such datasets are time-consuming to develop and are usually only available for relatively small areas (Pouta & Ovaskainen, 2006;Bateman et al., 2011;Hausman, Leonard, & McFadden, 1995;Jones, Wright, Bateman, & Schaafsma, 2010;Loomis, 1995;Feather et al., 1995;Parsons & Hauber, 1998;Sen et al., 2013;Shaw & Ozog, 1999;Termansen, Zandersen, & McClean, 2008). The purpose of the present study is to investigate the determinants of recreational use of NPs at a European scale and therefore we use data from visitor monitoring studies for NPs across Europe. ...
Article
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Recreation is a major ecosystem service and an important co-benefit of nature conservation. The recreational value of National Parks (NPs) can be a strong argument in favour of allocating resources for preserving and creating NPs worldwide. Managing NPs to optimize recreational services can therefore indirectly contribute to nature conservation and biodiversity protection. Understanding the drivers of recreational use of national parks is crucial.In this study we use a combination of primary data on annual visitor counts for 205 European NPs, GIS and statistical regression techniques to analyse how characteristics of NPs and their surroundings influence total annual recreational visitor numbers. The statistical model can be used for land-use planning by assessing the impact of alternative conservation scenarios on recreational use in NPs. The recreational use of new NPs can be estimated ex-ante, thereby aiding the optimisation of their location and design.We apply the model to: (1) map recreational visits to potential new NPs across Europe in order to identify best NP location; (2) map recreational visits to a proposed new NP in the west of Germany in order estimate monetary values and to show how visits are distributed across the site; and (3) predict annual visits to all NPs of 26 European countries. Total annual visits amount to more than 2 billion annually. Assuming a mean value per visit derived from 244 primary value estimates indicates that these visits result in a consumer surplus of approximately € 14.5 billion annually.
... The linked model segments the consumer's decision into two components, namely site selection and the participation decision. Studies that have employed the linked model include those of Bockstael et al. (1986Bockstael et al. ( , 1987; Yen and Adamowicz (1994); Feather et al. (1995); Hausman et al. (1995); Parsons and Kealy (1995). The linked model can be used to deal with site selection and the participation decision; however, these are not derived from a unified utility theory 1 . ...
... The travel cost and quality to the site are not included as independent variables because the inclusive value measure summarizes the influence of these variables on site choice and therefore represents an index of sorts for these variables (Creel and Loomis, 1992). Bockstael, Hanemann, and Kling (1987), Creel and Loomis (1992), and Feather, Hellerstein, and Tomasi (1995) are a few examples of studies that have utilized this approach to account for trip frequency and estimate per-season welfare values in RUM travel cost models. A drawback of this approach is that the two separate models that are used to model behavior, the site choice model and the trip frequency model, are not typically consistent with a well-behaved set of individual preferences. ...
Article
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This report documents the development of the Beneficial Use Values Database (BUVD). The purpose of the BUVD is to provide an educational and informational tool to the general public and interested specialists, documenting the economic values for beneficial uses of water identified by the State Water Resources Control Board (SWRCB). It is envisioned that the BUVD be a companion to the Water Quality Standards Inventory Database (WQSID), which currently provides information to the public on water quality standards for, and beneficial uses of, water bodies throughout California, but no information on the value of those beneficial uses. In preparing this alpha version of the database, the literature on economic values of water was consulted widely but not exhaustively, so in its current form the BUVD should be considered as (1) a representation of many though not necessarily all economic values for beneficial uses of water available in the current literature; and (2) a template which can be added to as more studies are identified as suitable for inclusion in the database over time. Section I explains the background and purpose of the BUVD as an educational and informational tool, and its potential role in benefit-cost (B-C) analysis of stormwater
... Count models, such as poisson and negative binomial models, can be used to explain changes in the trip numbers due to changes in destination quality, but they cannot verify the changes in site substitution across recreational sites. Due to the weakness of these models in terms of inability to explain changes in trip numbers and site substitution, some researchers have developed linked site selection models to explain the site selection and number of trips taken by recreationists (Feather et al., 1995;Hausman et al., 1995;Parsons and Kealy, 1995;Parsons et al., 1999). The linked site selection model is based on a two stage estimation. ...
... It is expected that larger water areas may hold fishes of wider variety and larger size and may provide anglers with more fishing opportunities (Hunt, 2005). Previous recreational freshwater fishing demand and destination choice studies have emphasized a positive relationship between the size of the water bodies and destination choices made by anglers (see, for example, Feather, Hellerstein and Tomasi 1995;MacNair and Cox 1999;Parsons and Kealy 1992;Tay, McCarthy, and Fletcher 1996). Train (1998) used the logarithm of size of each site as an explanatory variable to capture the fact that each angler has the option of many locations within a site, and the number of locations is higher at larger sites. ...
... Besides Parsons, Massey and Tomasi (1999), other articles, namely, Feather, Hellerstein and Tomasi (1995), Parsons (2002), Parsons and Massey (2003), and also Parsons (2003), seem to have misrepresented the expression for the expected utility. While some other authors, Ben-Akiva and Lerman (1985), Morey (1999), Louviere, Hensher and Swait (2000), Haab and McConnell (2003) have used the correct formula, they did not present the complete direct derivation of the expected value. ...
Article
Misspecification of expected utility for random utility models could result in an undervaluation of environmental amenities. The expression for the expected value of visiting sites for econometrically estimating welfare losses of recreational amenities, presented by some authors, appears to be incorrect. In this article, we present a direct and correct derivation and approximation of the expected utility for the random utility models.
... Seasonal benefits estimates are calculated as the product of choice occasions (which is assumed to be fixed and exogenous) and the per trip consumer surplus estimate. Proposals by Parsons and Kealy [1995] and Feather et al. [1995] also begin with the RUM and use it to estimate the predicted probabilities of trips to different choice alternatives. In Parsons and Kealy the predicted probabilities weight alternative specific prices and site attributes. ...
Article
Travel cost recreation demand models stem from a simple, but penetrating, insight. Consumption of an outdoor recreation site's services requires the user to incur the costs of a trip to that site. Travel costs serve as implicit prices. These costs reflect both people's distances from recreation sites visited and their specific opportunity costs of time. Today, economic analyses of recreation choices are among the most advanced examples of microeconometric modeling of consumer behavior in economics.The primary focus of this chapter is on the methods used to describe individuals' recreation choices. We are interested in the economic assumptions made in descriptions of behavior and measures of the economic value of amenities. Before developing this summary, in Section 2 we discuss how outdoor recreation fits within consumers' overall expenditures. Section 3 describes how we might ideally like to estimate consumers' preferences for recreation resources and the compromises implied by the models currently being used. Econometric details are deferred until Section 5, after a discussion of the features of recreation data in Section 4. In Section 6 we turn to conceptual issues in welfare measurement. We close in Section 7 with a discussion of a few research opportunities that seem especially important for the future.
... We therefore explore both components by modelling the choice of destination and the volume of demand. To estimate total demand we use a national household data set that gives the information to model demand by using a count data approach as previously done by others (Hutchinson et al., 2003; Romano et al., 2000) who followed a number of seminal papers (Bockstael et al., 1987a; Feather et al., 1995; Hausman et al., 1995; Parsons and Kealy, 1995). The destination choice behaviour model is based on a national data set including information about individual trips undertaken by the Danish public. ...
... Over the last 30 years, Random Utility Models (RUM) have become the predominant approach of the Travel Cost Method (TCM) (Feather et al., 1995;Greene et al., 1997;Phaneuf and Smith, 2005). RUMs specification provides a convenient way to explain the choice among mutually exclusive alternatives incorporating relevant substitution and site quality effects and, consequently, overcoming the incomplete representation of recreational demand of previous TCM approaches such as the varying parameter model (Vaughan and Russell, 1982;Smith et al., 1983), the hedonic travel cost method (Brown and Mendelsohn, 1984;Mendelsohn, 1984) and Morey's model (Morey, 1981(Morey, , 1984. ...
Article
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The use of Geographical Information Systems (GIS) in Travel Cost Method (TCM) applications has transformed many aspects of valua- tion practice. However, a review of the recreational demand literature gives evidence of the presence of major gaps in the set of attributes needed to evaluate environmental policies related to the heterogeneity of landscape and the spatial conguration of land use in and around recreational areas. In this context, this paper presents an empirical application to forest recreation in Mallorca (Spain), implementing a mixed logit model and evaluating the inuence of landscape hetero- geneity, viewed as the forests property of being diverse, in the recre- ational site-choice process.
... Other variables that could be used are quality variables associated with the choices the individuals make. For example, Feather and Hellerstein (1995) use the expected destination qualities in a model for recreational demand. Berkhout and Plug (2004) investigate the number of trips the Dutch population makes to cultural events and tourist attractions. ...
Article
In this article a trip frequency model for recreational and shopping trips is suggested. The data used comes from a Swedish travel habit survey where the observations of trip frequencies of both types on each individual are made on the same day. This is likely to introduce a cor- relation structure, which is modeled with a conditional approach where the number of recreational trips are assumed to be made conditional on the number of shopping trips. A special interest is devoted to the eect of travel cost on trip frequencies. As a measure of the sensitivity of cost changes, elasticity of demand is calculated. The precision of the elasticities are evaluated with simulated confidence intervals.
... Demand models can be estimated and consumer surplus evaluated. More information can be found in Mendelsohn et al. (1992) ;Feather, Hellerstein and Tomasi (1995), and Feather and Hellerstein (1997). ...
... In questo modo, infatti, si assume implicitamente che la variabile dipendente (il numero di gite) abbia natura continua e non discreta come avviene in realtà e la stima della funzione di domanda ottenuta non può perciò essere considerata del tutto adeguata (Hellerstein, 1991). Per ovviare a tale problema è possibile ricorrere all'utilizzo di modelli di conta le cui applicazioni, a livello nazionale, sono ancora piuttosto limitate (Romano et al., 2000; Scarpa et al., 2003a; Marangon et al., 2002; Signorello, 1998), mentre sono oramai abbastanza diffuse all'estero (Creel, Loomis, 1990; Englin, Mendelsohn, 1991; Feather et al., 1995; Fleisher, Tsur, 2000; Gurmu, Trivedi, 1996; Haab, McConnell, 1996; Hanley et al., 2001; Hanley et al., 2002; Hellerstein, Mendelsohn, 1993; Shaw, 1988; Smith, 1988; Cameron, Trivedi, 1998). ...
Thesis
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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.
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Random Utility Models are widely applied in studies of recreation demand. The model is particularly useful when the number of recreation sites from which individuals may choose is large. Yet, when the number gets too large, say in the hundreds, estimation becomes burdensome. We present an analysis suggested by McFadden (1978) for dealing with large numbers of sites. We estimate a model using randomly drawn opportunity sets. We use each person's chosen site plus a random draw of as few as eleven other sites (when hundreds are available) to estimate a plausible behavioral model.
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