IDEAS home Printed from https://ideas.repec.org/a/bla/jageco/v50y1999i3p549-563.html
   My bibliography  Save this article

A Family of Differential Input Demand Systems with Application to Greek Agriculture

Author

Listed:
  • Panos Fousekis
  • Christos Pantzios

Abstract

This paper develops a family of input demand systems via alternative parametrisations of Theil's differential model. Each member of this family is as flexible as any other locally flexible functional form. More importantly, selection among the competing family members is possible via simple parameter restrictions. The family of differential input demand systems is applied to the agricultural sector in Greece for the period 1961–96. Formal tests suggest that the model with the CBS‐type effects dominates the alternative models. Divisia and price elasticities are calculated from the selected model and a decomposition of changes in the demand for inputs into technical change, total input volume, substitution, and residual effects is performed. The empirical results are quite reasonable. Overall, the analysis in this paper indicates that, in certain cases, the differential approach may provide an attractive alternative to the dual approach in modelling production behaviour.

Suggested Citation

  • Panos Fousekis & Christos Pantzios, 1999. "A Family of Differential Input Demand Systems with Application to Greek Agriculture," Journal of Agricultural Economics, Wiley Blackwell, vol. 50(3), pages 549-563, September.
    • Handle: RePEc:bla:jageco:v:50:y:1999:i:3:p:549-563
    DOI: 10.1111/j.1477-9552.1999.tb00898.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1477-9552.1999.tb00898.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1477-9552.1999.tb00898.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. W.A. Barnett, 2004. "Definitions of Second-Order Approximation and of Flexible Functional Form," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 75-78, Emerald Group Publishing Limited.
    2. Wales, Terence J., 1977. "On the flexibility of flexible functional forms : An empirical approach," Journal of Econometrics, Elsevier, vol. 5(2), pages 183-193, March.
    3. Theil, Henri, 1977. "The Independent Inputs of Production," Econometrica, Econometric Society, vol. 45(6), pages 1303-1327, September.
    4. James Eales & Catherine Durham & Cathy R. Wessells, 1997. "Generalized Models of Japanese Demand for Fish," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1153-1163.
    5. Robert G. Chambers & Rulon D. Pope, 1994. "A Virtually Ideal Production System: Specifying and Estimating the VIPS Model," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(1), pages 105-113.
    6. George C. Davis, 1997. "Product Aggregation Bias as a Specification Error in Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(1), pages 100-109.
    7. Caves, Douglas W & Christensen, Laurits R, 1980. "Global Properties of Flexible Functional Forms," American Economic Review, American Economic Association, vol. 70(3), pages 422-432, June.
    8. Jonq-Ying Lee & Mark G. Brown & James L. Seale, 1994. "Model Choice in Consumer Analysis: Taiwan, 1970–89," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 504-512.
    9. V. Eldon Ball, 1985. "Output, Input, and Productivity Measurement in U.S. Agriculture 1948–79," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(3), pages 475-486.
    10. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    11. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    12. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
    13. C. Thirtle & P. Bottomley, 1992. "Total Factor Productivity In Uk Agriculture, 1967‐90," Journal of Agricultural Economics, Wiley Blackwell, vol. 43(3), pages 381-400, September.
    14. Hans P. Binswanger, 1974. "A Cost Function Approach to the Measurement of Elasticities of Factor Demand and Elasticities of Substitution," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 56(2), pages 377-386.
    15. Barten, Anton P, 1993. "Consumer Allocation Models: Choice of Functional Form," Empirical Economics, Springer, vol. 18(1), pages 129-158.
    16. Attfield, Clifford L. F., 1985. "Homogeneity and endogeneity in systems of demand equations," Journal of Econometrics, Elsevier, vol. 27(2), pages 197-209, February.
    17. Glass, J C & McKillop, D G, 1990. "Production Interrelationships and Productivity Measurement in Irish Agriculture," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 17(3), pages 271-287.
    18. van Driel, Hans & Nadall, Venuta & Zeelenberg, Kees, 1997. "The Demand for Food in the United States and the Netherlands: A Systems Approach with the CBS Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(5), pages 509-523, Sept.-Oct.
    19. Mountain, Dean C, 1988. "The Rotterdam Model: An Approximation in Variable Space," Econometrica, Econometric Society, vol. 56(2), pages 477-484, March.
    20. van Driel, Hans & Nadall, Venuta & Zeelenberg, Kees, 1997. "The Demand for Food in the United States and the Netherlands: A Systems Approach with the CBS Model: Reply," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(5), pages 530-532, Sept.-Oct.
    21. Barry T. Coyle, 1992. "Risk Aversion and Price Risk in Duality Models of Production: A Linear Mean-Variance Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 74(4), pages 849-859.
    22. Subhash C. Ray, 1982. "A Translog Cost Function Analysis of U.S. Agriculture, 1939–77," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 64(3), pages 490-498.
    23. Brown, Mark G & Lee, Jonq-Ying & Seale, James L, Jr, 1995. "A Family of Inverse Demand Systems and Choice of Functional Form," Empirical Economics, Springer, vol. 20(3), pages 519-530.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Suh, Dong Hee & Moss, Charles B., 2014. "Exploring Agricultural Production Systems: Interactions between the Crop and Livestock Sectors," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170149, Agricultural and Applied Economics Association.
    2. Panos Fousekis & Brian J. Revell, 2002. "Primary Demand for Red Meats in the United Kingdom," Cahiers d'Economie et Sociologie Rurales, INRA Department of Economics, vol. 63, pages 31-50.
    3. Gülcan ÖNEL, 2018. "An implicit model of adjustment costs in differential input demand systems," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(2(615), S), pages 119-132, Summer.
    4. Msangi, Siwa & Rosegrant, Mark, 2007. "A Closer Look at the IMPACT of Climate Change on Country-Level Food Security and Nutrition," Conference papers 331635, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fousekis, Panos & Revell, Brian J., 2000. "Meat Demand In The Uk: A Differential Approach," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 32(1), pages 1-9, April.
    2. Panos Fousekis & Aspasia Papakonstantinou, 1997. "Economic Capacity Utilisation And Productivity Growth In Greek Agriculture," Journal of Agricultural Economics, Wiley Blackwell, vol. 48(1‐3), pages 38-51, January.
    3. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    4. William A. Barnett & Ikuyasu Usui, 2007. "The Theoretical Regularity Properties of the Normalized Quadratic Consumer Demand Model," International Symposia in Economic Theory and Econometrics, in: Functional Structure Inference, pages 107-127, Emerald Group Publishing Limited.
    5. Chambers, Robert & Färe, Rolf & Grosskopf, Shawna & Vardanyan, Michael, 2013. "Generalized quadratic revenue functions," Journal of Econometrics, Elsevier, vol. 173(1), pages 11-21.
    6. Baccar, Sourour, 1995. "Reliability of the Translog Cost Function : Some Theory & an Application to the Demand of Energy in French Manufacturing," MPRA Paper 53987, University Library of Munich, Germany.
    7. Aradhyula, Satheesh Venkata, 1989. "Policy structure, output supply and input demand for US crops," ISU General Staff Papers 198901010800009909, Iowa State University, Department of Economics.
    8. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    9. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
    10. Fousekis, Panos & Revell, Brian J., 2002. "Primary Demand for Red Meats in the United Kingdom," Cahiers d'Economie et de Sociologie Rurales (CESR), Institut National de la Recherche Agronomique (INRA), vol. 63.
    11. Feng, Guohua & Serletis, Apostolos, 2008. "Productivity trends in U.S. manufacturing: Evidence from the NQ and AIM cost functions," Journal of Econometrics, Elsevier, vol. 142(1), pages 281-311, January.
    12. William A. Barnett & Milka Kirova & Meenakshi Pasupathy, 1996. "Technology Modeling: Curvature is not Sufficient for Regularity," Econometrics 9602002, University Library of Munich, Germany, revised 24 Jun 1999.
    13. Toshinobu Matsuda, 2005. "Differential Demand Systems: A Further Look at Barten's Synthesis," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 607-619, January.
    14. Hossain, A K M Nurul & Serletis, Apostolos, 2020. "Technical change in U.S. industries," Economic Modelling, Elsevier, vol. 91(C), pages 579-600.
    15. William Barnett & Meenakshi Pasupathy, 2003. "Regularity of the Generalized Quadratic Production Model: A Counterexample," Econometric Reviews, Taylor & Francis Journals, vol. 22(2), pages 135-154.
    16. Lee, Min-Yang A. & Thunberg, Eric M., 2012. "An Inverse Demand System for New England Groundfish: Welfare Analysis of the Transition to Catch Share Management," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 123879, Agricultural and Applied Economics Association.
    17. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2006. "An Empirical Comparison of Flexible Demand System Functional Forms," World Scientific Book Chapters, in: Money And The Economy, chapter 13, pages 247-277, World Scientific Publishing Co. Pte. Ltd..
    18. William Barnett & Ousmane Seck, 2006. "Rotterdam vs Almost Ideal Models: Will the Best Demand Specification Please Stand Up?," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200605, University of Kansas, Department of Economics.
    19. Pan, Shihua, 1990. "The microfoundations of mixed system of planning and markets: some theoretical considerations and an empirical analysis of the Chinese agriculture," ISU General Staff Papers 1990010108000010876, Iowa State University, Department of Economics.
    20. Lila J. Truett & Dale B. Truett, 2008. "The South African Textile Industry: Challenges and Opportunities," Working Papers 0044, College of Business, University of Texas at San Antonio.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jageco:v:50:y:1999:i:3:p:549-563. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0021-857X .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.