IDEAS home Printed from
   My bibliography  Save this article

Estimation of von Liebig Response Functions


  • Quirino Paris
  • Keith Knapp


Two distinct but related approaches for the estimation of von Liebig response functions are presented. The first approach is based upon a two-phase, ordinary least squares procedure combined with bootstrapping for computing the standard errors of the estimates. The second approach generates maximum likelihood estimates of the parameters and can be implemented according to two different parameterizations of the model. Application of the procedures to a sample of experimental data suggests a satisfactory degree of conformity of the results. A test of normality of the disturbance term based upon the estimated residuals failed to reject the null hypothesis, further supporting the maximum likelihood approach.

Suggested Citation

  • Quirino Paris & Keith Knapp, 1989. "Estimation of von Liebig Response Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(1), pages 178-186.
  • Handle: RePEc:oup:ajagec:v:71:y:1989:i:1:p:178-186.

    Download full text from publisher

    File URL:
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to search for a different version of it.


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

    Cited by:

    1. Banerji, A. & Meenakshi, J.V. & Khanna, Gauri, 2012. "Social contracts, markets and efficiency: Groundwater irrigation in North India," Journal of Development Economics, Elsevier, vol. 98(2), pages 228-237.
    2. Wu, JunJie & Zilberman, David & Babcock, Bruce A., 2001. "Environmental and Distributional Impacts of Conservation Targeting Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 333-350, May.
    3. Peter Berck & Jacqueline Geoghegan & Stephen Stohs, 2000. "A Strong Test of the von Liebig Hypothesis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(4), pages 948-955.
    4. Buaha, Gabriel Toichoa & Apland, Jeffrey & Hicks, Dale, 1995. "A Regression Analysis Of The Effects Of Planting Date And Variety On Corn Yields In Minnesota," Staff Papers 13872, University of Minnesota, Department of Applied Economics.
    5. Babcock, Bruce A. & Blackmer, Alfred M., 1992. "The Value Of Reducing Temporal Input Nonuniformities," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 17(2), pages 1-13, December.
    6. Kampas, Athanasios & Petsakos, Athanasios & Rozakis, Stelios, 2012. "Price induced irrigation water saving: Unraveling conflicts and synergies between European agricultural and water policies for a Greek Water District," Agricultural Systems, Elsevier, vol. 113(C), pages 28-38.
    7. Kampas, Athanasios & Melfou, Katerina & Aftab, Ashar, 2013. "Designing Regulatory Policies for Complex Externalities: The Case of Agricultural Pollution," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 14(2), pages 1-14.
    8. Rodriguez, Divina Gracia P. & Bullock, David S., 2015. "Testing the Validity of Stanford's 1.2 Rule for N Fertilizer Recommendation," 2015 Conference, August 9-14, 2015, Milan, Italy 212289, International Association of Agricultural Economists.
    9. Rodriguez, Divina Gracia P. & Bullock, David S., 2015. "An Empirical Investigation of the Stanford’s “1.2 Rule” for Nitrogen Fertilizer Recommendation," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205314, Agricultural and Applied Economics Association.

    More about this item


    Access and download statistics


    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:oup:ajagec:v:71:y:1989:i:1:p:178-186.. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Oxford University Press) The email address of this maintainer does not seem to be valid anymore. Please ask Oxford University Press to update the entry or send us the correct email address or (Christopher F. Baum). General contact details of provider: .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.