IDEAS home Printed from https://ideas.repec.org/p/rae/wpaper/200917.html
   My bibliography  Save this paper

Modeling acreage decisions within the multinomial Logit framework

Author

Listed:
  • Alain Carpentier
  • Elodie Letort

Abstract

The Multinomial Logit (MNL) framework has been used in the agricultural production economics literature to model acreage share choices, crop decisions or land use decisions. This article extends the pioneering works of Caswell and Zilberman (1985) and of Wu and Segerson (1995) by developing further the theoretical background of the MNL acreage share models. Two approaches are considered: the “cost function approach” and the “discrete choice approach”. It is then shown that MNL acreage share models can be used to define simple multi-crop econometric models with land as an allocatable fixed input. Finally several generalizations of the standard MNL acreage share model are proposed.

Suggested Citation

  • Alain Carpentier & Elodie Letort, 2009. "Modeling acreage decisions within the multinomial Logit framework," Working Papers SMART 09-17, INRAE UMR SMART.
  • Handle: RePEc:rae:wpaper:200917
    as

    Download full text from publisher

    File URL: http://www6.rennes.inra.fr/smart/Media/Working-papers/WP09-17
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    2. Lubowski, Ruben N. & Plantinga, Andrew J. & Stavins, Robert N., 2006. "Land-use change and carbon sinks: Econometric estimation of the carbon sequestration supply function," Journal of Environmental Economics and Management, Elsevier, vol. 51(2), pages 135-152, March.
    3. Asunka, Samuel & Shumway, C. Richard, 1996. "Allocatable Fixed Inputs and Jointness in Agricultural Production: More Implications," Agricultural and Resource Economics Review, Cambridge University Press, vol. 25(2), pages 143-148, October.
    4. Robert H. Hornbaker & Bruce L. Dixon & Steven T. Sonka, 1989. "Estimating Production Activity Costs for Multioutput Firms with a Random Coefficient Regression Model," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(1), pages 167-177.
    5. Thomas Heckelei & Hendrik Wolff, 2003. "Estimation of constrained optimisation models for agricultural supply analysis based on generalised maximum entropy," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 30(1), pages 27-50, March.
    6. Richard E. Just & David Zilberman & Eithan Hochman, 1983. "Estimation of Multicrop Production Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 65(4), pages 770-780.
    7. Robert G. Chambers & Richard E. Just, 1989. "Estimating Multioutput Technologies," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(4), pages 980-995.
    8. Ottmar Röhm & Stephan Dabbert, 2003. "Integrating Agri-Environmental Programs into Regional Production Models: An Extension of Positive Mathematical Programming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(1), pages 254-265.
    9. Richard E. Howitt, 1995. "Positive Mathematical Programming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(2), pages 329-342.
    10. Ackerberg, Daniel & Lanier Benkard, C. & Berry, Steven & Pakes, Ariel, 2007. "Econometric Tools for Analyzing Market Outcomes," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 63, Elsevier.
    11. Miranowski, John & Orazem, Peter, 1994. "A Dynamic Model of Acreage Allocation with General and Crop-Specific Capital," Staff General Research Papers Archive 10695, Iowa State University, Department of Economics.
    12. Jean-Paul Chavas & Matthew T. Holt, 1990. "Acreage Decisions Under Risk: The Case of Corn and Soybeans," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(3), pages 529-538.
    13. Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
    14. Quirino Paris & Richard E. Howitt, 1998. "An Analysis of Ill-Posed Production Problems Using Maximum Entropy," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(1), pages 124-138.
    15. Just, Richard E. & Pope, Rulon D., 2001. "The agricultural producer: Theory and statistical measurement," Handbook of Agricultural Economics, in: B. L. Gardner & G. C. Rausser (ed.), Handbook of Agricultural Economics, edition 1, volume 1, chapter 12, pages 629-741, Elsevier.
    16. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387.
    17. Alfons Oude Lansink & Spiro Stefanou, 2001. "Dynamic Area Allocation and Economies of Scale and Scope," Journal of Agricultural Economics, Wiley Blackwell, vol. 52(3), pages 38-52, September.
    18. Treadway, Arthur B, 1971. "The Rational Multivariate Flexible Accelerator," Econometrica, Econometric Society, vol. 39(5), pages 845-855, September.
    19. Moore, Michael R. & Negri, Donald H., 1992. "A Multicrop Production Model Of Irrigated Agriculture, Applied To Water Allocation Policy Of The Bureau Of Reclamation," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 17(1), pages 1-15, July.
    20. Theil, Henri, 1969. "A Multinomial Extension of the Linear Logit Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 251-259, October.
    21. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    22. Alban Thomas, 2003. "A dynamic model of on-farm integrated nitrogen management," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 30(4), pages 439-460, December.
    23. ANDERSON, Simon P. & de PALMA, André & THISSE, Jacques-François, 1992. "Interpretations of the logit discrete choice models and the theory of product differentiation," LIDAM Reprints CORE 1017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. Margriet Caswell & David Zilberman, 1985. "The Choices of Irrigation Technologies in California," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(2), pages 224-234.
    25. Verboven, Frank, 1996. "The nested logit model and representative consumer theory," Economics Letters, Elsevier, vol. 50(1), pages 57-63, January.
    26. Livingston, Michael J. & Roberts, Michael J. & Rust, John, 2008. "Optimal Corn and Soybean Rotations," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6213, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    27. Rulon D. Pope & Richard E. Just, 2003. "Distinguishing Errors in Measurement from Errors in Optimization," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(2), pages 348-358.
    28. Peter F. Orazem & John A. Miranowski, 1994. "A Dynamic Model of Acreage Allocation with General and Crop-Specific Soil Capital," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 385-395.
    29. Considine, Timothy J & Mount, Timothy D, 1984. "The Use of Linear Logit Models for Dynamic Input Demand Systems," The Review of Economics and Statistics, MIT Press, vol. 66(3), pages 434-443, August.
    30. 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.
    31. JunJie Wu & Kathleen Segerson, 1995. "The Impact of Policies and Land Characteristics on Potential Groundwater Pollution in Wisconsin," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(4), pages 1033-1047.
    32. Erik Lichtenberg, 1989. "Land Quality, Irrigation Development, and Cropping Patterns in the Northern High Plains," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(1), pages 187-194.
    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. Haile, Mekbib G. & Kalkuhl, Matthias & Braun, Joachim von, 2013. "Inter-and intra-annual global crop acreage response to prices and price risk," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 149695, Agricultural and Applied Economics Association.
    2. Kan, Iddo & Kimhi, Ayal & Kaminski, Jonathan, 2014. "The impact of climate change on agriculture and food prices: combining a micro land use model and a market equilibrium model," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 183024, European Association of Agricultural Economists.
    3. Jaeck, Melanie & Lifran, Robert, 2011. "The Economic Determinants of the On-farm Management of Rice Cultivars in the Rhone River Delta (France)," 2011 Conference, August 25-26, 2011, Nelson, New Zealand 115508, New Zealand Agricultural and Resource Economics Society.
    4. Haile, Mekbib G. & Kalkuhl, Matthias & von Braun, Joachim, 2013. "Short-term global crop acreage response to international food prices and implications of volatility," Discussion Papers 145308, University of Bonn, Center for Development Research (ZEF).
    5. Jonathan Kaminski & Iddo Kan & Aliza Fleischer, 2013. "A Structural Land-Use Analysis of Agricultural Adaptation to Climate Change: A Proactive Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 95(1), pages 70-93.
    6. Carroll, Christine & Carter, Colin A. & Goodhue, Rachael E. & Lin, C.-Y. Cynthia & Subbarao, Krishna, 2013. "Bioeconomic Modeling of an Imported Disease in California Lettuce," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150495, Agricultural and Applied Economics Association.
    7. Mekbib G. Haile & Matthias Kalkuhl & Joachim Braun, 2014. "Inter- and intra-seasonal crop acreage response to international food prices and implications of volatility," Agricultural Economics, International Association of Agricultural Economists, vol. 45(6), pages 693-710, November.
    8. Haile, Mekbib G. & Kalkuhl, Matthias & Braun, Joachim von, 2013. "How does food supply respond to high and volatile international food prices? An empirical evaluation of inter- and intra- seasonal global crop acreage response," 2013 Fourth International Conference, September 22-25, 2013, Hammamet, Tunisia 161472, African Association of Agricultural Economists (AAAE).

    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. Alain Carpentier & Elodie Letort, 2014. "Multicrop Production Models with Multinomial Logit Acreage Shares," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 59(4), pages 537-559, December.
    2. CARPENTIER, Alain & GOHIN, Alexandre & SCKOKAI, Paolo & THOMAS, Alban, 2015. "Economic modelling of agricultural production: past advances and new challenges," Review of Agricultural and Environmental Studies - Revue d'Etudes en Agriculture et Environnement (RAEStud), Institut National de la Recherche Agronomique (INRA), vol. 96(1), March.
    3. Alain Carpentier & Elodie Letort, 2010. "Simple econometric models for short term production choices in cropping systems," Working Papers SMART 10-11, INRAE UMR SMART.
    4. Letort, Elodie & Carpentier, Alain, 2009. "On Modelling Acreage Decisions within the Multinomial Logit Framework," 2009 Conference, August 16-22, 2009, Beijing, China 51615, International Association of Agricultural Economists.
    5. Carpentier, Alain & Gohin, Alexandre, 2015. "On the economic theory of crop rotations: value of the crop rotation effects and implications on acreage choice modeling," Working Papers 205299, Institut National de la recherche Agronomique (INRA), Departement Sciences Sociales, Agriculture et Alimentation, Espace et Environnement (SAE2).
    6. Carpentier, Alain & Gohin, Alexandre, 2014. "Accounting for crop rotations in acreage choice modeling: a tractable modeling framework," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 182799, European Association of Agricultural Economists.
    7. Koutchade, Philippe & Carpentier, Alain & Féménia, Fabienne, 2015. "Empirical modeling of production decisions of heterogeneous farmers with random parameter models," Working Papers 210097, Institut National de la recherche Agronomique (INRA), Departement Sciences Sociales, Agriculture et Alimentation, Espace et Environnement (SAE2).
    8. Koutchade, Philippe & Carpentier, Alain & Femenia, Fabienne, 2015. "Accounting for unobserved heterogeneity in micro-econometric agricultural production models: a random parameter approach," 2015 Conference, August 9-14, 2015, Milan, Italy 212015, International Association of Agricultural Economists.
    9. Viaggi, Davide & Raggi, Meri & Gomez y Paloma, Sergio, 2011. "Farm-household investment behaviour and the CAP decoupling: Methodological issues in assessing policy impacts," Journal of Policy Modeling, Elsevier, vol. 33(1), pages 127-145, January.
    10. Weng, Weizhe & Cobourn, Kelly M. & Kemanian, Armen R. & Boyle, Kevin J. & Shi, Yuning & Stachelek, Joseph & White, Charles, 2020. "Quantifying Co-Benefits of Water Quality Policies: An Integrated Assessment Model of Nitrogen Management," 2020 Annual Meeting, July 26-28, Kansas City, Missouri 304667, Agricultural and Applied Economics Association.
    11. Koutchadé, Philippe & Carpentier, Alain & Féménia, Fabienne, 2015. "Empirical modelling of production decisions of heterogeneous farmers with mixed models," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205098, Agricultural and Applied Economics Association.
    12. Smith, V. & De Pinto, A. & Robertson, R., 2018. "The Role of Risk in the Context of Climate Change, Land Use Choices and Crop Production: Evidence from Zambia," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277315, International Association of Agricultural Economists.
    13. Hyunseok Kim & GianCarlo Moschini, 2018. "The Dynamics of Supply: U.S. Corn and Soybeans in the Biofuel Era," Land Economics, University of Wisconsin Press, vol. 94(4), pages 593-613.
    14. Ibirénoyé Romaric Sodjahin & Fabienne Femenia & Obafemi Philippe Koutchade & A. Carpentier, 2022. "On the economic value of the agronomic effects of crop diversification for farmers: estimation based on farm cost accounting data [Valeur économique des effets agronomiques de la diversification de," Working Papers hal-03639951, HAL.
    15. Gouel, Christophe & LaBorde, David, 2017. "The Crucial Role of International Trade in Adaptation to Climate Change," 2017: Globalization Adrift, December 3-5, 2017, Washington, D.C. 266841, International Agricultural Trade Research Consortium.
    16. Jean-Sauveur Ay & Raja Chakir & Julie Le Gallo, 2014. "The effects of scale, space and time on the predictive accuracy of land use models," Working Papers 2014/02, INRA, Economie Publique.
    17. Boussios, David & Barkley, Andrew P., 2012. "Kansas Grain Supply Response to Economic and Biophysical Factors, 1977-2007," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124385, Agricultural and Applied Economics Association.
    18. Fezzi, Carlo & Bateman, Ian J., 2009. "Structural Agricultural Land Use Modelling," 2009 Conference, August 16-22, 2009, Beijing, China 51423, International Association of Agricultural Economists.
    19. Obafèmi P. Koutchadé & Alain Carpentier & Fabienne Femenia, 2021. "Modeling Corners, Kinks, and Jumps in Crop Acreage Choices: Impacts of the EU Support to Protein Crops," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(4), pages 1502-1524, August.
    20. Bayou Demeke & Ian Coxhead, 2005. "The Effect of National Policies and Labor Market on Land Use Decisions in Developing Countries: An Application of Maximum Simulated Likelihood to System of Censored Acreages with Panel Data," Others 0503007, University Library of Munich, Germany.

    More about this item

    Keywords

    acreage share; discrete choice; multicrop econometric model; multinomial Logit;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • Q15 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Land Ownership and Tenure; Land Reform; Land Use; Irrigation; Agriculture and Environment
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

    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:rae:wpaper:200917. 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: Anne Chauvel (email available below). General contact details of provider: https://edirc.repec.org/data/inrarfr.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.