Estimating demand systems when outcomes are correlated counts
We describe and employ a Bayesian posterior simulator for fitting a high-dimensional system of ordinal or count outcome equations. The model is then applied to describe the multiple site recreation demands of individual agents, and we argue that our approach provides advantages relative to existing methods commonly applied in this area. In particular, our model flexibly adjusts to match observed frequencies in trip outcomes, permits a flexible correlation pattern among the sites visited by individuals, and the posterior simulator for fitting this model is relatively easy to implement in practice. We also describe how the posterior simulations produced from the model can be used to conduct a variety of counterfactual experiments, including predicting behavioral changes and describing welfare implications resulting from shifts in exogenous demographic and site characteristics. We illustrate our method using data from the Iowa Lakes Project by modeling the visitation patterns of individuals to a set of twenty-nine large Iowa lakes. Consistent with previous findings in the literature, we see strong evidence that own and cross-price effects on trip demand are negative and positive, respectively, that higher income increases the likelihood of visiting most sites, and that a commonly used indicator of water quality, Secchi transparency, is positively correlated with the number of trips taken. In addition, the correlation structure among the errors reveals a complex pattern in which unobserved factors affecting trip demand are generally (though not strictly) positively correlated across sites. The flexibility and richness with which we are able to characterize the demand system provides a solid platform for counterfactual analysis, where we find significant behavioral and welfare effects from changes in site availability, water quality, and travel costs.
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- Wang, Peiming & Cockburn, Iain M & Puterman, Martin L, 1998. "Analysis of Patent Data--A Mixed-Poisson-Regression-Model Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(1), pages 27-41, January.
- Patrick Bayer & Christopher Timmins, 2003.
"Estimating Equilibrium Models of Sorting across Locations,"
862, Economic Growth Center, Yale University.
- Patrick Bayer & Christopher Timmins, 2007. "Estimating Equilibrium Models Of Sorting Across Locations," Economic Journal, Royal Economic Society, vol. 117(518), pages 353-374, 03.
- Patrick J. Bayer & Christopher D. Timmins, 2004. "Estimating Equilibrium Models of Sorting Across Locations," Yale School of Management Working Papers ysm415, Yale School of Management.
- Dionne, G. & Gagne, R. & Gagnon, F. & Vanasse, C., 1993.
"Debt, Moral Hazard and Airline Safety : An Empirical Evidence,"
Cahiers de recherche
9309, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Dionne, Georges & Gagne, Robert & Gagnon, Francois & Vanasse, Charles, 1997. "Debt, moral hazard and airline safety An empirical evidence," Journal of Econometrics, Elsevier, vol. 79(2), pages 379-402, August.
- Dionne, G. & Gagne, R. & Gagnon, F. & Vanasse, C., 1994. "Debts, moral hazard and airline safety : an empirica evidence," CEPREMAP Working Papers (Couverture Orange) 9419, CEPREMAP.
- Joseph A. Herriges & Daniel J. Phaneuf, 2002. "Inducing Patterns of Correlation and Substitution in Repeated Logit Models of Recreation Demand," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(4), pages 1076-1090.
- 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 104-112, February.
- von Haefen, Roger H. & Phaneuf, Daniel J., 2003. "Estimating preferences for outdoor recreation:: a comparison of continuous and count data demand system frameworks," Journal of Environmental Economics and Management, Elsevier, vol. 45(3), pages 612-630, May.
- Siddhartha Chib & Edward Greenberg & Rainer Winkelmann, 1996.
"Posterior Simulation and Bayes Factors in Panel Count Data Models,"
9608003, EconWPA, revised 25 Nov 1996.
- Chib, Siddhartha & Greenberg, Edward & Winkelmann, Rainer, 1998. "Posterior simulation and Bayes factors in panel count data models," Journal of Econometrics, Elsevier, vol. 86(1), pages 33-54, June.
- 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 428-435, October.
- Egan, Kevin J. & Herriges, Joseph A., 2006.
"Multivariate Count Data Regression Models with Individual Panel Data from an On-Site Sample,"
Staff General Research Papers Archive
12573, Iowa State University, Department of Economics.
- Egan, Kevin & Herriges, Joseph, 2006. "Multivariate count data regression models with individual panel data from an on-site sample," Journal of Environmental Economics and Management, Elsevier, vol. 52(2), pages 567-581, September.
- 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 356-360, May.
- Herriges, Joseph A. & Phaneuf, Daniel J., 2002. "Inducing Patterns Correlation and Substitution in Repeated Logit Model of Recreation Demand," Staff General Research Papers Archive 5035, Iowa State University, Department of Economics.
- Jeffrey T. LaFrance & W. Michael Hanemann, 1989.
"The Dual Structure of Incomplete Demand Systems,"
American Journal of Agricultural Economics,
Agricultural and Applied Economics Association, vol. 71(2), pages 262-274.
- Train,Kenneth E., 2009.
"Discrete Choice Methods with Simulation,"
Cambridge University Press, number 9780521766555, December.
- Ruser, John W, 1991. "Workers' Compensation and Occupational Injuries and Illnesses," Journal of Labor Economics, University of Chicago Press, vol. 9(4), pages 325-350, October.
- Koop,Gary & Poirier,Dale J. & Tobias,Justin L., 2007.
"Bayesian Econometric Methods,"
Cambridge University Press, number 9780521855716, December.
- John Mullahy, 1997. "Instrumental-Variable Estimation Of Count Data Models: Applications To Models Of Cigarette Smoking Behavior," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 586-593, November.
- Winkelmann, Rainer, 2000. " Seemingly Unrelated Negative Binomial Regression," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(4), pages 553-560, September.
- 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.
- Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
- Sha Yang & Yuxin Chen & Greg Allenby, 2003. "Bayesian Analysis of Simultaneous Demand and Supply," Quantitative Marketing and Economics (QME), Springer, vol. 1(3), pages 251-275, September.
- Hausman, Jerry A, 1981. "Exact Consumer's Surplus and Deadweight Loss," American Economic Review, American Economic Association, vol. 71(4), pages 662-676, September.
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