IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/15092.html
   My bibliography  Save this paper

The Almost Ideal and Translog Demand Systems

Author

Listed:
  • Holt, Matthew T.
  • Goodwin, Barry K.

Abstract

This chapter reviews the specification and application of the Deaton and Muellbauer (1980) Almost Ideal Demand System (AIDS) and the Christensen, Jorgensen, and Lau (1975) tranlog (TL) demand system. In so doing we examine various refinements to these models, including ways of incorporating demographic effects, methods by which curvature conditions can be imposed, and issues associated with incorporating structural change and seasonal effects. We also review methods for adjusting for autocorrelation in the model's residuals. A set of empirical examples for the AIDS and a the log TL version of the translog based on historical meat price and consumption data for the United States are also presented.

Suggested Citation

  • Holt, Matthew T. & Goodwin, Barry K., 2009. "The Almost Ideal and Translog Demand Systems," MPRA Paper 15092, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:15092
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/15092/1/MPRA_paper_15092.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Karagiannis, G. & Mergos, G. J., 2002. "Estimating theoretically consistent demand systems using cointegration techniques with application to Greek food data," Economics Letters, Elsevier, vol. 74(2), pages 137-143, January.
    2. Eales, James S. & Unnevehr, Laurian J., 1994. "The inverse almost ideal demand system," European Economic Review, Elsevier, vol. 38(1), pages 101-115, January.
    3. Anderson, G J & Blundell, R W, 1982. "Estimation and Hypothesis Testing in Dynamic Singular Equation Systems," Econometrica, Econometric Society, vol. 50(6), pages 1559-1571, November.
    4. Barten, A. P., 1969. "Maximum likelihood estimation of a complete system of demand equations," European Economic Review, Elsevier, vol. 1(1), pages 7-73.
    5. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
    6. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-338, July.
    7. Browning, Martin & Meghir, Costas, 1991. "The Effects of Male and Female Labor Supply on Commodity Demands," Econometrica, Econometric Society, vol. 59(4), pages 925-951, July.
    8. Davidson, James & Terasvirta, Timo, 2002. "Long memory and nonlinear time series," Journal of Econometrics, Elsevier, vol. 110(2), pages 105-112, October.
    9. Gallant, A. Ronald & Golub, Gene H., 1984. "Imposing curvature restrictions on flexible functional forms," Journal of Econometrics, Elsevier, vol. 26(3), pages 295-321, December.
    10. Terrell, Dek, 1996. "Incorporating Monotonicity and Concavity Conditions in Flexible Functional Forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 179-194, March-Apr.
    11. Moschini, Giancarlo & Moro, Daniele, 1994. "Autocorrelation specification in singular equation systems," Economics Letters, Elsevier, vol. 46(4), pages 303-309, December.
    12. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, October.
    13. Ng, Serena, 1995. "Testing for Homogeneity in Demand Systems When the Regressors Are Nonstationary," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 147-163, April-Jun.
    14. LaFrance, Jeffrey T., 2004. "Integrability of the linear approximate almost ideal demand system," Economics Letters, Elsevier, vol. 84(3), pages 297-303, September.
    15. James A. Chalfant & Richard S. Gray & Kenneth J. White, 1991. "Evaluating Prior Beliefs in a Demand System: The Case of Meat Demand in Canada," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(2), pages 476-490.
    16. Giancarlo Moschini, 1995. "Units of Measurement and the Stone Index in Demand System Estimation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(1), pages 63-68.
    17. Diewert, W. E. & Wales, T. J., 1988. "A normalized quadratic semiflexible functional form," Journal of Econometrics, Elsevier, vol. 37(3), pages 327-342, March.
    18. Geweke, J, 1993. "Bayesian Treatment of the Independent Student- t Linear Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages 19-40, Suppl. De.
    19. Berndt, Ernst R & Savin, N Eugene, 1975. "Estimation and Hypothesis Testing in Singular Equation Systems with Autoregressive Disturbances," Econometrica, Econometric Society, vol. 43(5-6), pages 937-957, Sept.-Nov.
    20. Moschini, Giancarlo, 1998. "The semiflexible almost ideal demand system," European Economic Review, Elsevier, vol. 42(2), pages 349-364, February.
    21. Diewert, W E & Wales, T J, 1988. "Normalized Quadratic Systems of Consumer Demand Functions," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 303-312, July.
    22. James S. Eales & Laurian J. Unnevehr, 1988. "Demand for Beef and Chicken Products: Separability and Structural Change," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 70(3), pages 521-532.
    23. Chalfant, James A, 1987. "A Globally Flexible, Almost Ideal Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(2), pages 233-242, April.
    24. Holt, Matthew T., 1998. "Autocorrelation specification in singular equation systems: A further look," Economics Letters, Elsevier, vol. 58(2), pages 135-141, February.
    25. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    26. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, vol. 65(3), pages 367-383, June.
    27. Moschini, Giancarlo, 1999. "Imposing Local Curvature Conditions in Flexible Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 487-490, October.
    28. Nicholas E. Piggott & Thomas L. Marsh, 2004. "Does Food Safety Information Impact U.S. Meat Demand?," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(1), pages 154-174.
    29. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
    30. Arthur Lewbel & Serena Ng, 2005. "Demand Systems with Nonstationary Prices," The Review of Economics and Statistics, MIT Press, vol. 87(3), pages 479-494, August.
    31. Adolf Buse, 1998. "Testing Homogeneity in the Linearized Almost Ideal Demand System," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(1), pages 208-220.
    32. Lewbel, Arthur, 1989. "Nesting the AIDS and Translog Demand System," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(2), pages 349-356, May.
    33. Christensen, Laurits R. & Manser, Marilyn E., 1977. "Estimating U.S. consumer preferences for meat with a flexible utility function," Journal of Econometrics, Elsevier, vol. 5(1), pages 37-53, January.
    34. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    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. Maria Chiara D'Errico & Carlo Andrea Bollino, 2015. "Bayesian Analysis of Demand Elasticity in the Italian Electricity Market," Sustainability, MDPI, vol. 7(9), pages 1-22, September.
    2. repec:spr:agfoec:v:2:y:2014:i:1:p:1-27 is not listed on IDEAS
    3. Cao, Jing & Ho, Mun S. & Hu, Wenhao & Jorgenson, Dale, 2020. "Estimating flexible consumption functions for urban and rural households in China," China Economic Review, Elsevier, vol. 61(C).
    4. Jing Cao & Mun Sing Ho & Wenhao Hu & Dale Jorgenson, 2021. "Urban household consumption in China: Price, income, and demographic effects," Review of Development Economics, Wiley Blackwell, vol. 25(2), pages 810-833, May.
    5. Shamaila Aziz & Muhammad Rizwan Yaseen & Sofia Anwar, 2016. "Impact of Rising Energy Prices on Consumer’s Welfare: A Case Study of Pakistan," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 55(4), pages 605-618.
    6. Hendrik Schmitz & Reinhard Madlener, 2020. "Direct and Indirect Energy Rebound Effects in German Households: A Linearized Almost Ideal Demand System Approach," The Energy Journal, , vol. 41(5), pages 89-118, September.
    7. Cliona Ni Mhurchu & Helen Eyles & Chris Schilling & Qing Yang & William Kaye-Blake & Murat Genç & Tony Blakely, 2013. "Food Prices and Consumer Demand: Differences across Income Levels and Ethnic Groups," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-12, October.
    8. repec:spr:hecrev:v:2:y:2014:i:1:p:1-27 is not listed on IDEAS
    9. Muhammad Rizwan YASEEN & Imran QAISER & Nabeela KOUSAR, 2015. "Comparative analysis of the animal products consumption in developing countries: the case study of the South Asian countries," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 61(7), pages 332-342.
    10. Rodrigo Garc?a Arancibia, 2019. "Import Demand for Dairy Products in Chile and Competition among Exporting Countries: The Case of Milk Powder and Cheese," Economia agro-alimentare, FrancoAngeli Editore, vol. 21(1), pages 101-128.
    11. Bhat, Chandra R. & Castro, Marisol & Pinjari, Abdul Rawoof, 2015. "Allowing for complementarity and rich substitution patterns in multiple discrete–continuous models," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 59-77.

    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. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    2. 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.
    3. Toshinobu Matsuda, 2007. "Linearizing the inverse quadratic almost ideal demand system," Applied Economics, Taylor & Francis Journals, vol. 39(3), pages 381-396.
    4. GianCarlo Moschini, 2001. "A Flexible Multistage Demand System Based on Indirect Separability," Southern Economic Journal, John Wiley & Sons, vol. 68(1), pages 22-41, July.
    5. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    6. Guy Chapda Nana & Bruno Larue, 2014. "Imposing curvature conditions on flexible functional forms for GNP functions," Empirical Economics, Springer, vol. 47(4), pages 1411-1440, December.
    7. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    8. Sulgham, Anil K. & Zapata, Hector O., 2006. "A Dynamic Approach to Estimate Theoretically Consistent US Meat Demand System," 2006 Annual Meeting, February 5-8, 2006, Orlando, Florida 35441, Southern Agricultural Economics Association.
    9. Fofana, Abdulai & Jaffry, Shabbar, 2008. "Measuring Oligopsony Power of UK Salmon Retailers," Working Papers 61116, Scotland's Rural College (formerly Scottish Agricultural College), Land Economy & Environment Research Group.
    10. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
    11. Toshinobu Matsuda, 2006. "A trigonometric flexible consumer demand system," Canadian Journal of Economics, Canadian Economics Association, vol. 39(1), pages 145-162, February.
    12. Apostolos Serletis & Libo Xu, 2020. "Demand systems with heteroscedastic disturbances," Empirical Economics, Springer, vol. 58(4), pages 1913-1921, April.
    13. Jin, Man, 2018. "Measuring substitution in China's monetary-assets demand system," China Economic Review, Elsevier, vol. 50(C), pages 117-132.
    14. 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..
    15. Nurul Hossain, A.K.M. & Serletis, Apostolos, 2017. "A century of interfuel substitution," Journal of Commodity Markets, Elsevier, vol. 8(C), pages 28-42.
    16. Marsh, Thomas L. & Piggott, Nicholas E., 2013. "Measuring Pre-Commited Quantities Through Consumer Price Formation," 2013 Conference (57th), February 5-8, 2013, Sydney, Australia 152165, Australian Agricultural and Resource Economics Society.
    17. Ling-yun He & Li Liu, 2016. "The demand for road transport in China: imposing theoretical regularity and flexible functional forms selection," Papers 1612.02656, arXiv.org.
    18. Chapda Nana, Guy & Larue, Bruno, 2012. "Imposing Curvature Conditions on Flexible Functional Forms to GNP Functions," Working Papers 123308, University of Laval, Center for Research on the Economics of the Environment, Agri-food, Transports and Energy (CREATE).
    19. Barnett, William A. & Serletis, Apostolos, 2008. "The Differential Approach to Demand Analysis and the Rotterdam Model," MPRA Paper 12319, University Library of Munich, Germany.
    20. Femenia, Fabienne, 2019. "A Meta-Analysis of the Price and Income Elasticities of Food Demand," German Journal of Agricultural Economics, Humboldt-Universitaet zu Berlin, Department for Agricultural Economics, vol. 68(2), June.

    More about this item

    Keywords

    Almost ideal demand system; Autocorrelation; Curvature; Meat Demand; Translog;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • Q11 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Aggregate Supply and Demand Analysis; Prices

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:15092. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.