MODIFICAÇÃO NAS FUNÇÕES DE PRODUÇÃO von LIEBIG

CARLOS LEOMAR KREUZ; EDGAR AGUSTO LANZER; QUIRINO PARIS

ARTIGO ORIGINAL

MODIFICAÇÃO NAS FUNÇÕES DE PRODUÇÃO von LIEBIG

CARLOS LEOMAR KREUZ; EDGAR AGUSTO LANZER; QUIRINO PARIS

resr, vol.32, n2, p.193-218, 1994

PDF

Downloads: 0

Resumo

Os modelos von Liebig têm sido criticados por não considerarem a possibilida- de de interações (Nelson et ai. 1985). Esta critica não é totalmente vãlida porque pesquisadores mostraram que os modelos von Liebig consideram interações (Lanzer 1977, Grimm 1986). O que ocorre é que as funções de produção agrícola consideram o que se pode chamar de interações de primeira ordem. Contudo, podem ser encontradas evidências na literatura da existência de interações de segunda ordem (Terman et ai. 1972, Paris & Paris 1985). Utilizando a lei das relações fisiológicas formulada por Eilhard von Mitscherlich no início do século, bem como uma nova interpretação da lei proposta por Steenbjerg & Jakobsen (1966), o presente trabalho estende os modelos von Liebig para contemplar efeitos de interação de segunda ordem. A importância deste ponto é que uma função de produção mais realística, em concordância com o comportamento da natureza, possibilita uma melhor interpretação de resultados experimentais.

Palavras-chave

análise de experimentos agrícolas, interações, testes de hipóteses.

Referências

ACKELLO-OGUTU, C., Q. PARIS, AND W.A. WILLIAMS. "Testing a von Liebig Crop Response Function Against Polynomial Specification." Amer.J. Agr. Econ. 67(1985): 873-880.

ACOCK,B.AND M. C. ACOCK. "Potential for Using Long-Term Field Research Data to Develop and Validate Crop Simulators".Agron. J. 83(1991): 56~61.

ANDERSON, R. L. AND L. A. NELSON. "A Family of Models Involving Intersecting Straight Lines and Concomitant Experilllental Designs Useful in Evaluating Response to Fertilizer Nutrients." Biometrics 31 ( 1975):303-318

BALMUKAND, B. H. "Studies in Crop Variation. V. The relation between Yield and Soil Nutrients.". J. Agric. Sei. 18(1928): 602-627.

BAULE, B. "Zu Mitscherlich Gezetz · der Physiologischen Beziehum gen." Lan- dwirtschaftliche Jahrbücher 51(1918):363-385.

BAUN, E. L., E.O HEADY, AND J. BLACKMORE. "Methodological Procedures in the Economic Analyses of Use of Fertilizer Data." Iowa State Univ. Press, Ames, IA, 1956.

BROOKE, A., D. KENDRICK, ANDA. MEERAUS. "GAMS, A User's Guide." Redwood City, Càlifomia: The Scientific Press, 1992, 289p.

BROWNE, C. A. "Liebig and the Law of the Minimum."ln: Moulton. F. R. "Liebig and After Liebig." American Association for the Advancement ofScience, 1942.

COWELL, J. D. & K. M. STACKHOUSE. "Some Problems in the Estimation of Simulta- neous Fertilizer Requirements of Crops from Response Surfaces." Australian J. Exp. Agric. and Animal Husbandry 10(1970): 183-195.

DAVIDSON, R. AND J. G. MACKINNON. "Several.Tests for Model Specification in the Presence of Altemative Hypotheses." Econometrica 49(1981): 781-793.

DILLON, J. L. AND J. R. ANDERSON. "The analysis ofResponse in Crop and Livestock Production." Pegamon Press, 1990. 251 p.

FRANK, M.D.B.,R. BEATTIE, AN.Q-M.E. EMBLETON. "A Comparison of Alternative Crop Response Models." Amer. J. Agr. Econ. 72(1990):597-603..

FOWLER, D. B., J. BRYDON, AND R. J. BAKER. "Nitrogen Fertilization of No-Till Winter Wheat and Rye. I. Yield and Agronomic Responses." Agron. J. 81(1989): 66- 72.

GODFREY, L. G. AND M. H. PESARAN. "Tests of Nonnested Regression Models." J. Economietrics 21(1983): 133-154.

GREENE, W. H. "Econometric Analysis."New York University. Second Edition, 1993. 791p.

GRIMM, S. S. "Estimation of Water and Nitrogren Crop Response Functions: a. Factor Nonsubstitution Model Approach." University ofCalifomia, Davis, 1986. 143p. (Ph. D. Thesis).

GRIMM, S. S., Q. PARIS, AND W. A. WILLIAMS. "A von Liebig Model for Water and Nitrogen Crop Response." Western J. Agric. Econ. 12(1987): 182-192.

HASSET, J. J. AND W. L. BANWART. "Soils and Their Environment.l!New Jersey, Pre- tince-Hall, Inc., 1992.

HEADY, E. O., J. _L. DILLON. "Agricultural Production Functions.11 Iowa State Univ. Press, 1961. 667p.

HEADY, E. O. AND J. PESEK. "A Fertilizer Production Surface with Specification of Economic Optima for Com Crown on Calcareous Ida Silt Loam:" J. Farm Econ. 36(1954): 466-482).

HEADY, E. O., J. T. PESEI<, AND W. G. BROWN. "Com Response Surfaces and Eco- nomic Optima in Fertilizer Use. " Iowa State Exp. Sta. Research Bulletin 424, 1955.

HEXEM. R. W. AND E. O. HEADY. "Water· Production for Irrigated Agriculture." Iowa State Univ. Press, Ames, IA, 1978.

JOLLIFF, G. D. AND M. SEDDIGH "Evaluating Nitrogen Fertilizer and Timig for Mea- dowfoan Seed and Dry Matter Production." Agron. J. 83(1991): 99-103.

KREUZ, C. L. "von Liebig Medels with Decreasing·Yields, Mitscherlich's Law of Physio- logical Relations and the Relative Yield Framework." Universidade Federal de Santa ·Catarina, Departamento de Engenharia de Pr.odução. Florianópolis, 1994. 159. (Tese de Doutorado). ·

LANG, E. "The Law of the Soil." ln: Spillman, W. J. "The Law of Diminishing Retums." Wor~d Book Company, 1924. 178p.

LANZER, E. A. "Fertilezer Recommendation from Dynamic Liebig-Mitscherlich Model: the Case Wheat-Soybeans Southern Brasil:" University of California, Davis, 1977. 2l3p.(Ph.D. Thesis).

LANZER, E. A., Q. PARIS, ANO W. A. WILLIAMS. "A Nonsubstitution Dynamic Model for Optimal Fertilizer Recommendation." Giannini Foundation monograph Number 41. 1987. 53p.

MACLEOD, L. B. "Effect of N, P, and K and Their Interaction on the Yield and Kernel Weight ofBarley in Hydroponic Culture."Agron. J. 61(1969):26-29.

MITSCHERLICH, E. A. "Das Cesetz des Minimums und das gesetz des abnehmenden Bo- denertrages." Landwirtschaftliche Jahrbücher 38(1969):537-552.

NELDER, J. A. "Inverse Polynomials, a Useful Group of Multi-Factor Response Functi- ons." Biometrics 22(1966): 128-141.

NELSON, L. A., R. D. VOSS, ANO J. PESEK. " Agronomic and Statistical Evaluation of Fertilizer Response." ln: "Fertilizer Technology and Use." Soil Science Society of America, 1985.

PARIS, Q. "The von Liebig Hypothesis." Amer. J. Agric. Econ. 74(1992a): 1019-1028). PARIS, Q. "The Return ofvon Liebig'sLaw ofthe Minimum'." Agron. J. 84(1992): 1040-1046.

PARIS, Q. AND P. PARIS. "A von Liebig Response Function to Nitrogen and Phosphorus for Hay Production from Irrigated Pastures." Grass and Forage Sei. 40(1985): 213- 220.

PESARAN, M. H., "On the General Problem of Model Selection." Rev. Econ. Stud. 41(1974): 153-172.

PESEK, J. ANDE. O. HEADY. "A Two Nutrient-Response Function with Determination of Economic Optima for Rate and Grade of Fertilizer for Alfalfa." Soil Sct Proc. 20(1956): 240-246.

POPE, R. D. ANO A. HALLAM. "Separability Testing in Production Economics." Amer. J. Agric. Econ. 70(1988): 142-152.

RUSSELL,·E. J. ANO E. W. RUSSEL. "Soil Conditions and Plant Growth. "Longmans, 9th ed., 1961.

SINCLAIR, T. R. ANO W. I. PARK. "Inadequacy ofthe Liebig Limiting-Factor Paradigm for Explaining Varying Crop Yilds." Agron. J. 85(1993): 742-746.

STEENBJERG, F. ANO S. T. JAKOBSEN. "Plant Nutrition and Yield Curves." Soil Sei. 1(1963): 69-88.

TERMAN, G. L. ANO L. A. NELSON. "Comments on Use ofMultiple Regression in Plant Analysis Interpretation." Agron. J. 68(1976):148-150.

TERMAN, G. L., J. C. NOGGLE, ANDO. P. ENGELSTAD. "Concentrations ofN and P "in Young Com Plants, as Affected by Various Growth-Limiting Factors." Agron. J. 64(1972): 384-388.

TISDALE, S. L., W. L. NELSON, AND J. D. BEATON. "Soil Fertility and Fertilizers." Macmillan Publishing Co., 4th ed, 1985. 719p.

WITT, C. T. "Resource Use Efficiency in Agriculture." Agricultura! Systems 40(1992): 125-151.

Submetido em:
19/11/1993

Aceito em:
27/01/1994

MODIFICAÇÃO NAS FUNÇÕES DE PRODUÇÃO von LIEBIG

CARLOS LEOMAR KREUZ; EDGAR AGUSTO LANZER; QUIRINO PARIS

Resumo

Palavras-chave

Referências

Links

Compartilhar

resr