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Robust Benefit Function Transfer: A Bayesian Model Averaging Approach

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Author Info
Roberto Leon-Gonzalez ()
Riccardo Scarpa

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Abstract

A Benefit Function Transfer obtains estimates of Willingness-to-Pay (WTP) for the evaluation of a given policy at a site by combining existing information from different study sites. This has the advantage that more efficient estimates are obtained, but it relies on the assumption that the heterogeneity between sites is appropriately captured in the Benefit Transfer model. A more expensive alternative to estimate WTP is to analyse only data from the policy site in question while ignoring information from other sites. We make use of the fact that these two choices can be viewed as a model selection problem and extend the set of models to allow for the hypothesis that the benefit function is only applicable to a subset of sites. We show how Bayesian Model Averaging (BMA) techniques can be used to optimally combine information from all models. The Bayesian algorithm searches for the set of sites that can form the basis for estimating a Benefit function and reveals whether such information can be transferred to new sites for which only a small dataset is available. We illustrate the method with a sample of 42 forests from U.K. and Ireland. We find that BMA benefit function transfer produces reliable estimates and can increase about 8 times the information content of a small sample when the forest is ‘poolable’.

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File URL: http://www.le.ac.uk/economics/research/RePEc/lec/leecon/dp07-1.pdf
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Publisher Info
Paper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 07/01.

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Date of creation: Jan 2007
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Handle: RePEc:lec:leecon:07/1

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Related research
Keywords: Benefit Transfer; Bayesian Model Averaging; Exchangeability; Non-market Valuation; Panel Data;

Find related papers by JEL classification:
C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Bayesian Analysis
C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data
C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Microeconomic Data
Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry
Q26 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Recreational Aspects of Natural Resources

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References listed on IDEAS
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  1. Kirchhoff, Stefanie & Colby, Bonnie G. & LaFrance, Jeffrey T., 1997. "Evaluating the Performance of Benefit Transfer: An Empirical Inquiry," Journal of Environmental Economics and Management, Elsevier, vol. 33(1), pages 75-93, May. [Downloadable!] (restricted)
  2. Leon, C J, et al, 2002. "A Bayesian Model for Benefit Transfer: Application to National Parks in Spain," Applied Economics, Taylor and Francis Journals, vol. 34(6), pages 749-57, April. [Downloadable!] (restricted)
  3. Raftery A.E. & Zheng Y., 2003. "Discussion: Performance of Bayesian Model Averaging," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 931-938, January. [Downloadable!] (restricted)
  4. Carmen Fernandez & Carmelo J. Leon & Mark F.J. Steel & Francisco Jose Vazquez-Polo, 2004. "Bayesian Analysis of Interval Data Contingent Valuation Models and Pricing Policies," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 431-442, October. [Downloadable!] (restricted)
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