Determination and use of the soil equivalent in fertilizer experiments
Keywords:
crop response; fertilizer experiments; soil equivalentAbstract
The article presents the bases of a quantitative theory of the response of agricultural crops to mineral fertilization. Several additive and multiplicative empirical mathematical models of yield are described. The main equation represents yield as an intrinsically non-linear function of macro element fertilization. A new quantity is considered - soil equivalent, with the help of which is possible to estimate the quantity of the nutrient in the soil which is readily available to plants in a form equivalent to the applied fertilizers. Methods for determining the value of the soil equivalent and its use in estimating the parameters of mathematical models, as well as the values of fertilizers at which the maximum yield is obtained, are presented. The application of the models and the use of soil equivalent is illustrated by two examples. The first is from a field experiment with wheat at the experimental station in Nikolaevo, Pleven district, Bulgaria. The second is from the “3414” application design of NPK fertilizer for 3-yr-old Panax notoginseng in Yunnan Province, China.
References
Ackoff, R. (1982). The Art of Problem Solving. Mir, Moscow, pp. 220.
Anderson, R. L. (1956). Comparison of discrete and continuous models in agriculture and production analysis in the economic analysis of fertilizer use data. Iowa state college press, Ames. Iowa.
Demidovich, B., Maron I., & Shuvalova E. (1967). Numerical methods for analysis. FM, Moscow.
Derzhavin, L., & Rubanov, I. (1975). Type and analysis of the production function yield-fertilizers. Agrohimiya, 4, 124-130. Moscow.
Derzhavin, L., & Rubanov, I. (1980). Mathematical models of fertilizer efficiency. Chemistry in agriculture, 9, 14-17. Moscow.
Dillon, J. L. (1968). The analysis of response in crop and livestock production. Pergamon Press, Oxford.
Dixon, L. C. W. (1972). Nonlinear optimization. Engl. Univ., London.
Rubanov, I. A. (1978). Adjustment of the production function of yield-fertilizers and soil equivalent. Agrohimiya, 5, 117-121. Moscow.
Sadovski, A. N. (1984). Quantitative theory of crop response to fertilizers. In; Mineral nutrition of plants, vol. IV, 151-154. Sofia.
Wimble, R. (1980). Theoretical basis of fertilizer recommendations. Chemistry and Industry, 680-683.
Xia, P., Guo, H., Zhao, H., Jiao, J., Deyholos, M. K., Yan, X., Liu, Y., & Liang, Z. (2016). Optimal fertilizer application for Panax notoginseng and effect of soil water on root rot disease and saponin contents J. Ginseng Res, 40, 38-46.
Yearbook. (1971). General statistical evaluation of the results of the field fertilizer experiments performed in experimental stations of the Institute, Vol. I and II. N. Poushkarov Institute of Soil Science, Sofia.
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