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A Luenberger soil-quality indicator

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  • Atakelty Hailu
  • Robert Chambers

Abstract

This paper discusses how a quality indicator can be constructed as a Luenberger indicator using directional distance functions. This leads to a suggested formula for aggregating individual soil quality attributes into an indicator. The method is illustrated using crop trials data from Western Australia. The approach presented is theoretically consistent and may provide a better alternative to many of the ad hoc procedures used to construct soil-quality indexes in the soil science literature. Our approach also addresses shortcomings related to quality indicators previously proposed in the productivity literature using Malmquist indices. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Atakelty Hailu & Robert Chambers, 2012. "A Luenberger soil-quality indicator," Journal of Productivity Analysis, Springer, vol. 38(2), pages 145-154, October.
  • Handle: RePEc:kap:jproda:v:38:y:2012:i:2:p:145-154
    DOI: 10.1007/s11123-011-0255-x
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    References listed on IDEAS

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    1. Coggins, Jay S. & Swinton, John R., 1996. "The Price of Pollution: A Dual Approach to Valuing SO2Allowances," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 58-72, January.
    2. O'Donnell, Christopher J. & Coelli, Timothy J., 2005. "A Bayesian approach to imposing curvature on distance functions," Journal of Econometrics, Elsevier, vol. 126(2), pages 493-523, June.
    3. Robert G. Chambers & Rolf Färe, 1998. "Translation homotheticity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 629-641.
    4. Rolf Färe & Carlos Martins-Filho & Michael Vardanyan, 2010. "On functional form representation of multi-output production technologies," Journal of Productivity Analysis, Springer, vol. 33(2), pages 81-96, April.
    5. Chambers, Robert G., 1996. "A New Look at Exact Input, Output, Productivity, and Technical Change Measurement," Working Papers 197840, University of Maryland, Department of Agricultural and Resource Economics.
    6. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 751-765.
    7. David G. Luenberger, 1996. "Welfare from a benefit viewpoint (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 445-462.
    8. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    9. Koop, Gary & Osiewalski, Jacek & Steel, Mark F. J., 1997. "Bayesian efficiency analysis through individual effects: Hospital cost frontiers," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 77-105.
    10. Hailu, Atakelty & Hailu, Atakelty, 2003. "Pollution abatement and productivity performance of regional Canadian pulp and paper industries," Journal of Forest Economics, Elsevier, vol. 9(1), pages 5-25.
    11. Edward C. Jaenicke & Laura L. Lengnick, 1999. "A Soil-Quality Index and Its Relationship to Efficiency and Productivity Growth Measures: Two Decompositions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 881-893.
    12. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    13. Hailu, Atakelty & Veeman, Terrence S., 2000. "Environmentally Sensitive Productivity Analysis of the Canadian Pulp and Paper Industry, 1959-1994: An Input Distance Function Approach," Journal of Environmental Economics and Management, Elsevier, vol. 40(3), pages 251-274, November.
    14. Luenberger, David G, 1996. "Welfare from a Benefit Viewpoint," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 445-462, April.
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    Cited by:

    1. Adenuga, A. & Davis, J. & Hutchinson, G. & Donnellan, T. & Patton, M., 2018. "Valuing Agricultural Externalities: Nitrogen Surplus in the Dairy Sector on the Island of Ireland," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277434, International Association of Agricultural Economists.
    2. Ke Wang & Yujiao Xian & Chia-Yen Lee & Yi-Ming Wei & Zhimin Huang, 2019. "On selecting directions for directional distance functions in a non-parametric framework: a review," Annals of Operations Research, Springer, vol. 278(1), pages 43-76, July.
    3. Khataza, Robertson R. B. & Hailu, Atakelty & Kragt, Marit E. & Doole, Graeme J., 2017. "Estimating shadow price for symbiotic nitrogen and technical efficiency for legume-based conservation agriculture in Malawi," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 61(3), July.
    4. Azad, M.A. Samad & Ancev, Tihomir, 2020. "Assessing the dynamics of natural capital on farms: A soil natural capital indicator," Ecological Economics, Elsevier, vol. 168(C).
    5. Robertson R.B. Khataza & Atakelty Hailu & Graeme J. Doole & Marit E. Kragt & Arega D. Alene, 2019. "Examining the relationship between farm size and productive efficiency: a Bayesian directional distance function approach," Agricultural Economics, International Association of Agricultural Economists, vol. 50(2), pages 237-246, March.
    6. Adewale Henry Adenuga & John Davis & George Hutchinson & Trevor Donnellan & Myles Patton, 2019. "Environmental Efficiency and Pollution Costs of Nitrogen Surplus in Dairy Farms: A Parametric Hyperbolic Technology Distance Function Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 74(3), pages 1273-1298, November.
    7. Chunbo Ma and Atakelty Hailu, 2016. "The Marginal Abatement Cost of Carbon Emissions in China," The Energy Journal, International Association for Energy Economics, vol. 0(China Spe).
    8. Jorge Bonilla & Jessica Coria & Thomas Sterner, 2018. "Technical Synergies and Trade-Offs Between Abatement of Global and Local Air Pollution," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(1), pages 191-221, May.
    9. Khataza, Robertson R.B. & Hailu, Atakelty & Kragt, Marit E. & Doole, Graeme, 2017. "The opportunity costs of enhancing legume‐based sustainable agricultural intensification practices in Malawi," 2017 Conference (61st), February 7-10, 2017, Brisbane, Australia 258672, Australian Agricultural and Resource Economics Society.
    10. Chye Ing Lim & Wahidul Biswas, 2015. "An Evaluation of Holistic Sustainability Assessment Framework for Palm Oil Production in Malaysia," Sustainability, MDPI, vol. 7(12), pages 1-27, December.
    11. Wang, Zhaohua & Song, Yanwu & Shen, Zhiyang, 2022. "Global sustainability of carbon shadow pricing: The distance between observed and optimal abatement costs," Energy Economics, Elsevier, vol. 110(C).
    12. Tang, Kai & Yang, Lin & Zhang, Jianwu, 2016. "Estimating the regional total factor efficiency and pollutants’ marginal abatement costs in China: A parametric approach," Applied Energy, Elsevier, vol. 184(C), pages 230-240.
    13. Bokusheva, Raushan & Kumbhakar, Subal C., 2014. "A Distance Function Model with Good and Bad Outputs," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 182765, European Association of Agricultural Economists.

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    More about this item

    Keywords

    Quality indicator; Luenberger indicator; Soil quality; Directional distance function; Agricultural technology; Efficiency; D24; Q16; Q24;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • Q16 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - R&D; Agricultural Technology; Biofuels; Agricultural Extension Services
    • Q24 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Land

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