Reconciling the von Liebig and Differentiable Crop Production Functions

Berck, Peter; Helfand, Gloria E.

doi:10.2307/1242630

Cited by 127 publications

(82 citation statements)

References 16 publications

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“…Following Berck and Helfand (1990), Paris (1992), Chambers and Lichtenberg (1996), and Berck, Geoghegan and Stohs (2000), the production technology is modeled as of the von-Liebig type:…”

Section: With ( )mentioning

confidence: 99%

Testing Day's Conjecture that More Nitrogen Decreases Crop Yield Skewness

Hennessy²,

Yu³

2012

American J Agri Economics

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While controversy surrounds skewness attributes of typical yield distributions, a better understanding is important for agricultural policy assessment and for crop insurance rate setting. Day (1965) conjectured that crop yield skewness declines with an increase in low levels of nitrogen use, but higher levels have no effect. In a theoretical model based on the law of the minimum (von Liebig) technology, we find conditions under which Day's conjecture applies. Employing four experimental plot datasets, we investigate the conjecture by introducing (a) a flexible Bayesian extension of the Just-Pope technology to incorporate skewness, and (b) a quantile-based measure of skewness shift. For corn yields, the Bayesian estimation provides strong evidence in favor of negative skewness at commercial nitrogen rates and for Day's conjecture. There was weaker evidence in favor of positively skewed cotton yield and little evidence in favor of the conjecture. The results are also confirmed by the quantile-based measure. AbstractWhile controversy surrounds skewness attributes of typical yield distributions, a

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“…Following Berck and Helfand (1990), Paris (1992), Chambers and Lichtenberg (1996), and Berck, Geoghegan and Stohs (2000), the production technology is modeled as of the von-Liebig type:…”

Section: With ( )mentioning

confidence: 99%

Testing Day's Conjecture that More Nitrogen Decreases Crop Yield Skewness

Hennessy²,

Yu³

2012

American J Agri Economics

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“…Although an individual vessel's fishing trip is likely to have a fixed-proportions technology, there is significant variation across vessels (for example, in captain experience, age of vessel, etc.). These non-conformities may be used to justify the use of a smooth function to approximate an aggregate production function (Berck et al, 1988). Additionally, it can be shown that the Tornqvist index is exact for the generalized Leontief production function (Chambers, 1988).…”

Section: Empirical Investigationmentioning

confidence: 99%

A Tale of Two Clams: Policy Anticipation and Industry Productivity

Brandt

2003

SSRN Journal

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Abstract:Sound environmental regulation must achieve environmental objectives while maximizing economic efficiency. This paper evaluates the impact of regulation on efficiency by measuring annual productivity across regulatory regimes in two similar fisheries with differing policy expectations. Anticipation of regulatory change produced strategic behavior in one fishery, leading to depressed productivity; in the other, regulatory change was not expected, and productivity did not suffer. These results imply that fisheries regulation should take into account both firms' policy expectations and the potentially perverse incentives that may be created by policy change.Keywords: Fisheries, resource regulation, productivity, property rights JEL Classification: L1, L5, L2, Q2 Sound environmental regulation must achieve environmental objectives while maximizing economic efficiency. This paper evaluates the impact of regulation on efficiency by measuring annual productivity across regulatory regimes in two similar fisheries with differing policy expectations. Anticipation of regulatory change produced strategic behavior in one fishery, leading to depressed productivity; in the other, regulatory change was not expected, and productivity did not suffer. These results imply that fisheries regulation should take into account both firms' policy expectations and the potentially perverse incentives that may be created by policy change. JEL Classification: L1, L5, L2, Q2 2

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“…Beginning in 1909, the works of Mitscherlich [7] and independently from 1923 works of Spillman [8] offered a model (productivity functions of Mitscherlich-Spillman PFMS) based on the inverse exponent, which has also a plateau as productivity function of Liebig, but it has damped response within the break point. Further development of theoretical concepts of the FP was made by Baule in 1918 (multifactor model of Mitscherlich-Baule [9]), Bray since 1944 (the concept of influence of mobility of food compounds on PF [10][11][12], Von Boguslawski E., & B. Schneider, refinement of Mitscherlich model [13][14][15][16] and many other researchers [2][3][4][17][18][19][20][21][22][23][24][25][26][27][28][29]. It is necessary to recognize the technical complexity of calibration of PFMS, especially for two or more variables.…”

Section: Introductionmentioning

confidence: 99%

Ability of Mitscherlich-Spillman Model to Estimate Critical Soil Phosphate Levels

Pukhovskiy¹

2013

IJNFS

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Abstract:More than 150 years research groups from different countries have been studying the effect of various factors on the productivity of the plants described by so-called productivity functions (PF). Interest to PF stems from the needs of economists, agronomists, agricultural chemists and environmentalists who use the PF modeling as a basis for solving their problems. The article describes development of models of productivity for agricultural chemistry and approaches to its calibration. The phenomenon of quasi-linearity (R 2 > 0.998) of Mitscherlich-Von Boguslawski functions within the range of 30 to 90% efficiency after logarithmic transformation of the argument and practical applications of the method were considered. The limitations were considered in the use of recommendations in relation to the properties of the scale of the studied factors. The approach proposed is applicable to only the values belonging to an absolute scale (ratio scale). The analysis of the possibility and feasibility to assess the so called critical levels of mobile phosphates was made using modeling with recently published Rothamsted long-term experimental data.

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Reconciling the von Liebig and Differentiable Crop Production Functions

Cited by 127 publications

References 16 publications

Testing Day's Conjecture that More Nitrogen Decreases Crop Yield Skewness

Testing Day's Conjecture that More Nitrogen Decreases Crop Yield Skewness

A Tale of Two Clams: Policy Anticipation and Industry Productivity

Ability of Mitscherlich-Spillman Model to Estimate Critical Soil Phosphate Levels

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