Reconciling the von Liebig and Differentiable Crop Production Functions

Two commonly used forms for crop response to inputs are a smooth, differentiable production function and a linear response and plateau (LRP) model. This paper reconciles these two views by showing that smooth functions can be derived by aggregating the effects of heterogenous inputs on LRP functions. Data on corn growth are used to test two specific aggregations.

[1]  J. Lowenberg-Deboer,et al.  Estimating and Testing Linear Response and Plateau Functions for Crops in Rotation when Carryover Exists , 1988 .

[2]  Q. Paris,et al.  A von Liebig Model for Water and Nitrogen Crop Response , 1987 .

[3]  A. Dinar,et al.  Simulated crop water production functions for several crops when irrigated with saline waters , 1986 .

[4]  Gedeon Dagan,et al.  Optimization of a Spatially Variable Resource: An Illustration for Irrigated Crops , 1985 .

[5]  Eli Feinerman,et al.  Optimum Crop Water Application as Affected by Uniformity of Water Infiltration1 , 1984 .

[6]  Eli Feinerman,et al.  The economics of irrigation with nonuniform infiltration , 1983 .

[7]  W. E. Hart,et al.  Comparison of sprinkler uniformity models. , 1980 .

[8]  Earl O. Heady,et al.  Water Production Functions for Irrigated Agriculture , 1980 .

[9]  Richard K. Perrin,et al.  The Value of Information and the Value of Theoretical Models in Crop Response Research , 1976 .

[10]  D. R. Nielsen,et al.  Spatial variability of field-measured soil-water properties , 1973 .

[11]  Nathan Buras,et al.  Crop Yield Response to Nonuniform Application of Irrigation Water , 1967 .

[12]  Richard H. Day,et al.  Probability Distributions of Field Crop Yields , 1965 .

[13]  R. H. Bray.  The Correlation of a Phosphorus Soil Test with the Response of Wheat Through a Modified Mitscherlich Equation1 , 1958 .

[14]  H. Houthakker,et al.  The Pareto Distribution and the Cobb-Douglas Production Function in Activity Analysis , 1955 .