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A Complete Characterization Of The Linear, Log-Linear, And Semi-Log Incomplete Demand System Models

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  • von Haefen, Roger H.
Abstract
This study extends LaFrance's (1985, 1986, 1990) previous research by deriving the necessary parameter restrictions for two additional classes of incomplete demand system models to be integrable. In contrast to LaFrance's earlier work, this analysis considers models that treat expenditures and expenditure shares as the dependent variables in the specified incomplete demand systems. With environmental economists increasingly turning to demand system approaches to value changes in environmental quality, these new results significantly expand the menu of empirical specifications which can be used to fit a given data set. Moreover, the alternative specifications considered in this study, in combination with LaFrance's original work, represent a complete characterization of the linear, log-linear, and semi-log incomplete demand system models.

Suggested Citation

  • 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(2), pages 1-39, December.
    • Handle: RePEc:ags:jlaare:31118
    DOI: 10.22004/ag.econ.31118
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    References listed on IDEAS

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    1. Mark M. Pitt & Daniel L. Millimet, 1999. "Estimation of Coherent Demand Systems with Many Binding Non-Negativity Constraints," Working Papers 99-4, Brown University, Department of Economics.
    2. Neary, J. P. & Roberts, K. W. S., 1980. "The theory of household behaviour under rationing," European Economic Review, Elsevier, vol. 13(1), pages 25-42, January.
    3. Larry G. Epstein, 1982. "Integrability of Incomplete Systems of Demand Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 411-425.
    4. 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.
    5. Trudy Ann Cameron, 1992. "Combining Contingent Valuation and Travel Cost Data for the Valuation of Nonmarket Goods," Land Economics, University of Wisconsin Press, vol. 68(3), pages 302-317.
    6. Phaneuf, Daniel J., 1999. "A Dual Approach to Modeling Corner Solutions in Recreation Demand," Journal of Environmental Economics and Management, Elsevier, vol. 37(1), pages 85-105, January.
    7. Zvi Griliches, 1964. "Notes on the Measurement of Price and Quality Changes," NBER Chapters, in: Models of Income Determination, pages 381-418, National Bureau of Economic Research, Inc.
    8. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    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.
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    Cited by:

    1. Kovacs, Kent F. & Larson, Douglas M., 2006. "Recreation at open space and residential development patterns," 2006 Annual meeting, July 23-26, Long Beach, CA 271502, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Beattie, Bruce R. & LaFrance, Jeffrey T., 2006. "The Law of Demand Versus Diminishing Marginal Utility," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt2ks565h0, Department of Agricultural & Resource Economics, UC Berkeley.
    3. Stafford, Tess M., 2018. "Accounting for outside options in discrete choice models: An application to commercial fishing effort," Journal of Environmental Economics and Management, Elsevier, vol. 88(C), pages 159-179.
    4. Eldon V. Ball & Ricardo Cavazos & Jeffrey T. LaFrance & Rulon Pope & Jesse Tack, 2010. "Aggregation and Arbitrage in Joint Production," Monash Economics Working Papers archive-22, Monash University, Department of Economics.
    5. Landry, Craig & Smith, Travis A., 2024. "IDS and AIDS Models for Recreation Demand: Application to Aggregate Beach Visitation," 2024 Annual Meeting, July 28-30, New Orleans, LA 343945, Agricultural and Applied Economics Association.
    6. Aaron Strong & V. Kerry Smith, 2010. "Reconsidering the Economics of Demand Analysis with Kinked Budget Constraints," Land Economics, University of Wisconsin Press, vol. 86(1), pages 173-190.
    7. Arwin Pang, 2022. "Investigating heteroscedasticity using the over-dispersion parameter in a travel cost model," Letters in Spatial and Resource Sciences, Springer, vol. 15(3), pages 507-516, December.
    8. Bruce R. Beattie & Jeffrey T. LaFrance, 2006. "The Law of Demand versus Diminishing Marginal Utility," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 28(2), pages 263-271.
    9. Gvillo, Rejeana & Capps, Oral, Jr. & Dharmasena, Senarath, 2014. "Dynamics of Advertising and Demand for Fluid Milk in the United States: An Incomplete Demand Approach," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170265, Agricultural and Applied Economics Association.
    10. Craig E. Landry & Alyson R. Lewis & Haiyong Liu & Hans Vogelsong, 2016. "Addressing Onsite Sampling in Analysis of Recreation Demand: Economic Value and Impact of Visitation to Cape Hatteras National Seashore," Marine Resource Economics, University of Chicago Press, vol. 31(3), pages 301-322.
    11. Davis, Alison F. & Moeltner, Klaus, 2010. "Valuing the Prevention of an Infestation: The Threat of the New Zealand Mud Snail in Northern Nevada," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 39(1), pages 1-19, February.
    12. Landry, Craig E. & Shonkwiler, J. Scott & Whitehead, John C., 2020. "Economic Values of Coastal Erosion Management: Joint Estimation of Use and Existence Values with recreation demand and contingent valuation data," Journal of Environmental Economics and Management, Elsevier, vol. 103(C).
    13. Hilger, James & Englin, Jeffrey, 2009. "Utility theoretic semi-logarithmic incomplete demand systems in a natural experiment: Forest fire impacts on recreational values and use," Resource and Energy Economics, Elsevier, vol. 31(4), pages 287-298, November.
    14. Anna Bartczak & Jeffrey Englin & Arwin Pang, 2012. "When are Forest Visits Valued the Most? An Analysis of the Seasonal Demand for Forest Recreation in Poland," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 52(2), pages 249-264, June.
    15. Baerenklau, Kenneth A. & González-Cabán, Armando & Paez, Catrina & Chavez, Edgar, 2010. "Spatial allocation of forest recreation value," Journal of Forest Economics, Elsevier, vol. 16(2), pages 113-126, April.
    16. Massimo Filippini & William Greene & Adan L. Martinez-Cruz, 2018. "Non-market Value of Winter Outdoor Recreation in the Swiss Alps: The Case of Val Bedretto," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 71(3), pages 729-754, November.
    17. Craig E. Landry & John Bergstrom & John Salazar & Dylan Turner, 2021. "How Has the COVID‐19 Pandemic Affected Outdoor Recreation in the U.S.? A Revealed Preference Approach," Applied Economic Perspectives and Policy, John Wiley & Sons, vol. 43(1), pages 443-457, March.
    18. Eom, Young-Sook & Larson, Douglas M., 2006. "Improving environmental valuation estimates through consistent use of revealed and stated preference information," Journal of Environmental Economics and Management, Elsevier, vol. 52(1), pages 501-516, July.
    19. Mikołaj Czajkowski & Marek Giergiczny & Jakub Kronenberg & Jeffrey Englin, 2019. "The Individual Travel Cost Method with Consumer-Specific Values of Travel Time Savings," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 74(3), pages 961-984, November.
    20. Jesse Tack & Rulon Pope & Jeffrey LaFrance & Timothy Graciano & Scott Colby, 2012. "Intertemporal Risk Management in Agriculture," Monash Economics Working Papers 16-12, Monash University, Department of Economics.
    21. Kenneth A. Baerenklau, 2010. "A Latent Class Approach to Modeling Endogenous Spatial Sorting in Zonal Recreation Demand Models," Land Economics, University of Wisconsin Press, vol. 86(4), pages 800-816.
    22. Phaneuf, Daniel J. & Smith, V. Kerry, 2006. "Recreation Demand Models," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 2, chapter 15, pages 671-761, Elsevier.
    23. Leif E. Anderson & Mark L. Plummer, 2017. "Recreational Demand for Shellfish Harvesting Under Environmental Closures," Marine Resource Economics, University of Chicago Press, vol. 32(1), pages 43-57.

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