Abstract
This chapter provides an introductory overview of benefit transfer methods. It begins with a discussion of the different types of benefit transfer (such as unit value transfer and benefit function transfer) , including a review of these different approaches and the relative advantages and disadvantages of each. This is followed by a summary of foundations in welfare economics and valuation. Included in this methodological introduction are a discussion of stated and revealed preference valuation and how the results from each may be used for benefit transfer. Following this introductory material are discussions of the theoretical and informational requirements for benefit transfer, the steps required to implement a benefit transfer, the challenges of scaling, and sources of data. The chapter concludes with brief discussions of transfer validity and reliability, advanced techniques for benefit transfer, and common problems and challenges.
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Notes
- 1.
For example, a significant proportion of the ecosystem services valuation literature is subject to this critique.
- 2.
Determining the relevant extent of the market, or size of the affected population is not always straightforward. Moreover, the size or location of the affected population can also be correlated with the size of \(\bar{y}_{js}\). For example, WTP for a given change in a non-market good often declines with distance from the affected area (Bateman et al. 2006). Hence, projecting unit values to a larger population or spatial area than that in the original primary study can lead to substantial errors.
- 3.
It is also possible for a single primary study to report multiple estimates for a single site and population, for example when multiple model specifications are estimated.
- 4.
- 5.
Johnston et al. (2006a) illustrate the potential risks of this approach related to the sensitivity of resulting transfer estimates.
- 6.
The difference between producer surplus and economic profits lies in the treatment of fixed costs of production.
- 7.
A good example of this pattern would be water levels in a river, which often have positive marginal values up to a point where flooding occurs, at which point marginal values for additional water become negative.
- 8.
In addition, non-linearities and thresholds in ecological systems can lead to nonconvexities when one considers ecosystem conservation at different geographical scales. This further complicates any scaling up or down of certain types of environmental values.
- 9.
For an example, see Johnston et al. (2005).
- 10.
One of the best known and well-developed of these tools is InVEST (Integrated Valuation of Ecosystem Services and Tradeoffs ), although many others have been developed over recent years. Among the advantages of InVEST is documentation that clarifies the transfer methods that are used. Many other tools lack such clarity, and are effectively “black boxes” in terms of transfer methods and data.
- 11.
Transfer validity may also be viewed in terms of the underlying validity of the primary study estimates (i.e., lack of measurement error), although this is a less common use of the term.
- 12.
For a practical example, see Johnston et al. (2002).
- 13.
It can also require adjustments for systematic differences in values over time (cf. Brouwer 2006).
- 14.
Assume that one has metadata with n = 1…N unique observations. The first step is the omission of the nth observation from the metadata. The MRM is then estimated (using the original model specification) for the remaining N − 1 observations. This is iterated for each n = 1…N observation, resulting in a vector of N unique parameter estimates, each corresponding to the omission of the nth observation. For each n = 1…N model runs, the nth observation is an out-of-sample observation corresponding to the vector of parameter estimates resulting from that iteration. Parameter estimates for the nth model iteration are then combined with independent variable values for the nth observation to generate a WTP forecast for the omitted observation. The result is N out-of-sample WTP forecasts, each drawn from a unique MRM estimation. Transfer error is assessed through comparisons of the predicted and actual WTP value for each of the N observations.
- 15.
- 16.
Note that this is a very simple model used for basic illustration purposes only. Linear OLS models such as this are rarely suitable for applied recreation demand modeling. Most recreation demand research applies more sophisticated approaches such as count data or random utility models (Bockstael and McConnell 2010; Haab and McConnell 2002). For an applied example see Rosenberger and Loomis (2003).
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Appendix
Appendix
1.1 Illustration of Unit Value and Benefit Function Transfer
To illustrate the mechanics of a very simple benefit transfer, consider the following stylized example. Assume that a published study reports the results of a simple, linear travel cost model predicting the number of visits to a local wildlife refuge (Site A), with statistical model results reported in Table 2.2 (assume a simple ordinary least squares model).Footnote 16
Assume that there is a nearby wildlife refuge (Site B) that is similar to Site A. However, the average number of rare bird viewings at Site B is higher than those at Site A. Assume that average viewings at Site B are 6.0 per visit. Assume also that the analyst wishes to use benefit transfer to estimate consumer surplus at Site B (the policy site), based on the study published from data at Site A (the study site).
To conduct our benefit transfer, we first use data at Site A to calculate the original study site demand curve and mean per visitor consumer surplus (CS).
The result is shown in Fig. 2.3, which illustrates the travel cost demand curve and associated consumer surplus. Here, the consumer surplus estimate of $20.25 reflects the access value of Site A, or the total value that each visitor receives from all visits to Site A, each year. Following standard practice, this is estimated as the area above the average travel cost ($10 per trip) and below the estimated travel cost demand curve.
To conduct a unit value transfer of this estimate to Site B, one would simply assume that the same consumer surplus estimate applies to both sites, so that the annual per visitor consumer surplus at Site B would be approximated as $20.25. This unit value estimate does not account for the difference in rare bird VIEWINGS between Site A and B.
To conduct a simple benefit function transfer of this estimate to Site B, one would estimate a new demand function using the updated information on VIEWINGS from Site B.
Given this updated demand curve (Fig. 2.4), the benefit function transfer estimate of consumer surplus for Site B visitors is $36.00 per year. The consumer surplus difference ($36.00 vs. $20.25) reflects ability of benefit function transfer to calibrate for the difference between VIEWINGS at the two sites, and hence predict a higher access value for Site B, all else equal. Although more sophisticated models (cf. Haab and McConnell 2002) may require more complex calculations to implement unit value or benefit function transfers, the general process is similar.
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Johnston, R.J., Rolfe, J., Rosenberger, R.S., Brouwer, R. (2015). Introduction to Benefit Transfer Methods. In: Johnston, R., Rolfe, J., Rosenberger, R., Brouwer, R. (eds) Benefit Transfer of Environmental and Resource Values. The Economics of Non-Market Goods and Resources, vol 14. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9930-0_2
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