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A Fully Calibrated Generalized Constant-Elasticity-of-Substitution Programming Model of Agricultural Supply

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  • Pierre Mérel
  • Leo K. Simon
  • Fujin Yi

Abstract

This article provides a methodology to exactly calibrate land-constrained programming models of agricultural supply against supply elasticities using generalized constant-elasticity-of-substitution, crop-specific production functions. We formally derive the necessary and sufficient conditions under which the model can replicate a reference allocation while displaying crop supply responses consistent with exogenous information on supply elasticities. When it exists, the solution to the exact calibration problem is unique. Subject to a caveat, the proposed specification is shown to be more flexible with respect to calibration than the quadratic specification that has been used extensively in policy models based on positive mathematical programming. Copyright 2011, Oxford University Press.

Suggested Citation

  • Pierre Mérel & Leo K. Simon & Fujin Yi, 2011. "A Fully Calibrated Generalized Constant-Elasticity-of-Substitution Programming Model of Agricultural Supply," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 93(4), pages 936-948.
    • Handle: RePEc:oup:ajagec:v:93:y:2011:i:4:p:936-948
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    File URL: http://hdl.handle.net/10.1093/ajae/aar029
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    2. Louhichi, Kamel & Ciaian, Pavel & Espinosa, Maria & Colen, Liesbeth & Perni, Angel & Paloma, Sergio, 2015. "The Impact of Crop Diversification Measure: EU-wide Evidence Based on IFM-CAP Model," 2015 Conference, August 9-14, 2015, Milan, Italy 211542, International Association of Agricultural Economists.
    3. Umed Temurshoev & Marian Mraz & Luis Delgado Sancho & Peter Eder, 2015. "EU Petroleum Refining Fitness Check: OURSE Modelling and Results," JRC Research Reports JRC96207, Joint Research Centre.
    4. Garnache, Cloé & Mérel, Pierre R. & Lee, Juhwan & Six, Johan, 2017. "The social costs of second-best policies: Evidence from agricultural GHG mitigation," Journal of Environmental Economics and Management, Elsevier, vol. 82(C), pages 39-73.
    5. Sapino, Francesco & Pérez-Blanco, C. Dionisio & Gutiérrez-Martín, Carlos & García-Prats, Alberto & Pulido-Velazquez, Manuel, 2022. "Influence of crop-water production functions on the expected performance of water pricing policies in irrigated agriculture," Agricultural Water Management, Elsevier, vol. 259(C).
    6. Petsakos, Athanasios & Rozakis, Stelios, 2015. "Calibration of agricultural risk programming models," European Journal of Operational Research, Elsevier, vol. 242(2), pages 536-545.
    7. Garnache, Cloe & Howitt, Richard E., 2011. "Species Conservation on a Working Landscape: The Joint Production of Wildlife and Crops in the Yolo Bypass Floodplain," 2011 Annual Meeting, July 24-26, 2011, Pittsburgh, Pennsylvania 103973, Agricultural and Applied Economics Association.
    8. Kamel Louhichi & Aymeric Ricome & Sergio Gomez y Paloma, 2022. "Impacts of agricultural taxation in Sub‐Saharan Africa: Insights from agricultural produce cess in Tanzania," Agricultural Economics, International Association of Agricultural Economists, vol. 53(5), pages 671-686, September.
    9. Pascal Tillie & Kamel Louhichi & Sergio Gómez y Paloma, 2018. "La culture attelée dans le bassin cotonnier en Côte d'Ivoire : Analyse et modélisation des impacts d'un programme de relance de la culture attelée," Working Papers hal-02790377, HAL.
    10. Aghabeygi, Mona & Louhichi, Kamel & Gomez y Paloma, Sergio, 2022. "Impacts of fertilizer subsidy reform options in Iran: an assessment using a Regional Crop Programming model," Bio-based and Applied Economics Journal, Italian Association of Agricultural and Applied Economics (AIEAA), vol. 11(1), April.
    11. Garnache, Cloe & Merel, Pierre R. & Lee, Juhwan & Six, Johan, 2014. "Markets for Agricultural Greenhouse Gas Offsets: The Role of Policy Design on Abatement Efficiency," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170718, Agricultural and Applied Economics Association.
    12. Heckelei, Thomas & Britz, Wolfgang & Zhang, Yinan, 2012. "Positive Mathematical Programming Approaches – Recent Developments in Literature and Applied Modelling," Bio-based and Applied Economics Journal, Italian Association of Agricultural and Applied Economics (AIEAA), vol. 1(1), pages 1-16, April.
    13. Umed Temurshoev & Fréderic Lantz, 2016. "Long-term petroleum product supply analysis through a robust modelling approach," Working Papers 2016-003, Universidad Loyola Andalucía, Department of Economics.
    14. Liu, Xuan & van Kooten, Gerrit Cornelis & Duan, Jun, 2020. "Calibration of agricultural risk programming models using positive mathematical programming," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 64(3), July.
    15. Kamel Louhichi & Pavel Ciaian & Maria Espinosa & Angel Perni & Sergio Gomez y Paloma, 2018. "Economic impacts of CAP greening: application of an EU-wide individual farm model for CAP analysis (IFM-CAP)," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 45(2), pages 205-238.
    16. Ferrier, Peyton M. & Zhen, Chen & Bovay, John, 2023. "Price and Welfare Effects of the Food Safety Modernization Act Produce Safety Rule," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 48(1), January.
    17. Zhou, Wei, 2015. "Three essays on modeling biofuel feedstock supply," ISU General Staff Papers 201501010800005728, Iowa State University, Department of Economics.
    18. Louhichi, Kamel & Ciaian, Pavel & Espinosa, Maria & Colen, Liesbeth & Perni, Angel & Gomez y Paloma, Sergio, 2015. "Farm-level economic impacts of EU-CAP greening measures," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205309, Agricultural and Applied Economics Association.
    19. Zhou, Wei & Babcock, Bruce A., 2014. "Endogenous Price in a Dynamic Model for Agricultural Supply Analysis," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170584, Agricultural and Applied Economics Association.
    20. Louhichi, Kamel & Ciaian, Pavel & Espinosa, Maria & Colen, Liesbeth & Perni, Angel & Gomez y Paloma, Sergio, 2015. "EU-wide individual Farm Model for CAP Analysis (IFM-CAP): Application to Crop Diversification Policy," 2015 Conference, August 9-14, 2015, Milan, Italy 212155, International Association of Agricultural Economists.
    21. Siwa Msangi & Sarah Ann Cline, 2016. "Improving Groundwater Management for Indian Agriculture: Assessing Tradeoffs Across Policy Instruments," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 2(03), pages 1-33, September.
    22. Garnache, Cloe & Merel, Pierre R., 2012. "Carbon market policy design: Investigating the role of payments aggregation," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124960, Agricultural and Applied Economics Association.

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