Long-term fertilizer field trials: comparison of three mathematical response models

Authors

• Stefan T. Bäckman Department of Economics and Management, P.O. Box 27, FIN-00014 University of Helsinki, Finland
• S. Vermeulen Kemira Agro, Luoteisrinne 2, FIN-02771 Espoo, Finland
• V.-M. Taavitsainen Kemira Agro, Luoteisrinne 2, FIN-02771 Espoo, Finland

DOI: https://doi.org/10.23986/afsci.72778

Abstract

Accession to the European Union caused a drop of nearly 60 per cent from 1994 to 1995 in prices of wheat, barley and oats in Finland. The economic use of fertilizer therefore decreased accordingly. To calculate the effect of the price changes on the economic optima, the physical production function must be known. Three physical production functions, the quadratic, the linear response and plateau (LRP) and the exponential function were estimated for this purpose. The models differed little in respect of the R2adj value (0.82-0.90) but the calculated optimum varied, depending on the production function. Data on a long-term field trial (21 years) were analysed. The field trial was established in 1973 to demonstrate the effect of mineral fertilizer in crop production. The crops grown in the trial were barley, wheat and oats. Different varieties were included in the models.