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Utility theoretic semi-logarithmic incomplete demand systems in a natural experiment: Forest fire impacts on recreational values and use

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  • Hilger, James
  • Englin, Jeffrey

Abstract

This study develops a utility theoretic demand model for an arbitrary number of goods that handles correlation between goods and over time. The bivariate compound Poisson estimator is applied to a semi-logarithmic incomplete demand system to estimate the demand for wilderness recreation and the associated welfare measures both prior to and post a 40,000 acre wilderness fire in Washington. Forest fires can simultaneously affect the environmental qualities of many recreational sites; this highlights the need for a utility theoretic demand system approach for modeling consumer behavior that handles the dynamic behavioral and statistical interdependencies over goods and time. Results suggest an increase in consumer welfare per trip post fire, after an initial period of low values, relative to before the fire.

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Bibliographic Info

Article provided by Elsevier in its journal Resource and Energy Economics.

Volume (Year): 31 (2009)
Issue (Month): 4 (November)
Pages: 287-298

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Handle: RePEc:eee:resene:v:31:y:2009:i:4:p:287-298

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Web page: http://www.elsevier.com/locate/inca/505569

Related research

Keywords: Demand system Compound bivariate poisson Count data Non-market valuation Fire Forest Recreation;

References

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  1. Hellerstein, Daniel, 1991. "Using Count Data Models in Travel Cost Analysis with Aggregate Data," MPRA Paper 25264, University Library of Munich, Germany.
  2. Burt, Oscar R & Brewer, Durward, 1971. "Estimation of Net Social Benefits from Outdoor Recreation," Econometrica, Econometric Society, vol. 39(5), pages 813-27, September.
  3. Jeffrey T. LaFrance, 1990. "Incomplete Demand Systems And Semilogarithmic Demand Models," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 34(2), pages 118-131, 08.
  4. Englin, Jeffrey & Mendelsohn, Robert, 1991. "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, Elsevier, vol. 21(3), pages 275-290, November.
  5. von Haefen, Roger H., 2002. "A Complete Characterization Of The Linear, Log-Linear, And Semi-Log Incomplete Demand System Models," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 27(02), December.
  6. Murat K. Munkin & Pravin K. Trivedi, 1999. "Simulated maximum likelihood estimation of multivariate mixed-Poisson regression models, with application," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 29-48.
  7. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
  8. Englin, Jeffrey & Shonkwiler, J S, 1995. "Estimating Social Welfare Using Count Data Models: An Application to Long-Run Recreation Demand under Conditions of Endogenous Stratification and Truncation," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 104-12, February.
  9. LaFrance, Jeffrey T., 1985. "Linear demand functions in theory and practice," Journal of Economic Theory, Elsevier, vol. 37(1), pages 147-166, October.
  10. Jeffrey Englin & Peter Boxall & David Watson, 1998. "Modeling Recreation Demand in a Poisson System of Equations: An Analysis of the Impact of International Exchange Rates," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(2), pages 255-263.
  11. J. Scott Shonkwiler & Jeffrey Englin, 2005. "Welfare Losses Due to Livestock Grazing on Public Lands: A Count Data Systemwide Treatment," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(2), pages 302-313.
  12. Chib, Siddhartha & Winkelmann, Rainer, 2001. "Markov Chain Monte Carlo Analysis of Correlated Count Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 428-35, October.
  13. Ozuna, Teofilo, Jr & Gomez, Irma Adriana, 1994. "Estimating a System of Recreation Demand Functions Using a Seemingly Unrelated Poisson Regression Approach," The Review of Economics and Statistics, MIT Press, vol. 76(2), pages 356-60, May.
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Cited by:
  1. Hellström, Jörgen & Nordström, Jonas, 2012. "Demand and welfare effects in recreational travel models: Accounting for substitution between number of trips and days to stay," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(3), pages 446-456.
  2. Hansen, Winslow D. & Naughton, Helen T., 2013. "The effects of a spruce bark beetle outbreak and wildfires on property values in the wildland–urban interface of south-central Alaska, USA," Ecological Economics, Elsevier, vol. 96(C), pages 141-154.

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