A lei de Mitscherlich aplicada a experimentos de adubação com vinhaça

Gomes, Frederico Pimentel

doi:10.1590/S0071-12761958000100009

Resumo

The author studies, with the aid of Mitscherlich's law, two experiments of sugar cane fertilization with vinasse. The first one, carried out in Piracicaba, State of S. Paulo, by ARRUDA, gave the following yields. No vinasse 47.0 tons/ha. 76.0 tons/ha. 250 c.m./ha. of vinasse 75.0 do. 112.0 do. 500 do. 90.0 do. 112.0 do. 1000 do. 98.0 do. 107.0 do. Data without NPK were appropriate for the fitting of the law, the equation of which was found to be: y = 100.8 [1 - 10 -0.00132 (x + 206) ], where y is measured in metric tons/hectare, and x in cubic meters/hectare. The optimum amount of vinasse to be used is given by the formula x* = 117.2 + 1 log w u , ______ ____ 0.00132 250 t being u the response to the standard dressing of 250 cubic meters/hectare of vinasse, w the price per ton of sugar cane, and t the price per cubic meter for the transportation of vinasse. In Pernambuco, a 3(4) NPK vinasse experiment gave the following mean yields: No vinasse 41.0 tons/hectare 250 cm./ha. of vinasse 108.3 do. 500 do. 134.3 do. The equation obtained was now y = 150.7 [1 - 10 -000165 (x + 84)], being the most profitable level of vinasse x* = 115.2 + 1 log w u , _______ ____ 0.00165 250 t One should notice the close agreement of the coefficients c (0.00132 in S. Paulo and 0.00165 in Pernambuco). Given the prices of Cr$ 20.00 per cubic meter for the transportation of vinasse (in trucks) and Cr$ 250.00 per ton of sugar cane (uncut, in the fields) the most profitable dressings are: 236 c.m./ha. of vinasse in S. Paulo, and 434 c.m./ha. in Pernambuco.

E. S. A. "Luiz de Queiroz" U. S. P. - Piracicaba

ABSTRACT

The author studies, with the aid of Mitscherlich's law, two experiments of sugar cane fertilization with vinasse. The first one, carried out in Piracicaba, State of S. Paulo, by ARRUDA, gave the following yields.

No vinasse 47.0 tons/ha. 76.0 tons/ha.

250 c.m./ha. of vinasse 75.0 do. 112.0 do.

500 do. 90.0 do. 112.0 do.

1000 do. 98.0 do. 107.0 do.

Data without NPK were appropriate for the fitting of the law, the equation of which was found to be:

y = 100.8 [1 - 10 ^{-0.00132 (x + 206)} ],

where y is measured in metric tons/hectare, and x in cubic meters/hectare.

The optimum amount of vinasse to be used is given by the formula

x* = 117.2 + 1 log w u ,

^{______ ____}

0.00132 250 t

being u the response to the standard dressing of 250 cubic meters/hectare of vinasse, w the price per ton of sugar cane, and t the price per cubic meter for the transportation of vinasse.

In Pernambuco, a 3⁴ NPK vinasse experiment gave the following mean yields:

No vinasse 41.0 tons/hectare

250 cm./ha. of vinasse 108.3 do.

500 do. 134.3 do.

The equation obtained was now

y = 150.7 [1 - 10 ^{-000165 (x + 84)}],

being the most profitable level of vinasse

x* = 115.2 + 1 log w u ,

^{_______ ____}

0.00165 250 t

One should notice the close agreement of the coefficients c (0.00132 in S. Paulo and 0.00165 in Pernambuco).

Given the prices of Cr$ 20.00 per cubic meter for the transportation of vinasse (in trucks) and Cr$ 250.00 per ton of sugar cane (uncut, in the fields) the most profitable dressings are: 236 c.m./ha. of vinasse in S. Paulo, and 434 c.m./ha. in Pernambuco.

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BIBLIOGRAFIA

1. ARRUDA, Homero Corrêa, 1956 - Variedades de Cana Adubação Racional e Aplicação Econômica da Vinhaça (mimeografado). 10 pp. Piracicaba.
2. HODNETT, G. E., 1956 - The Responses of Sugar-cane to Fertilizers Empire J. Exp. Agric. 24: 1-19.
3. MITSCHERLICH, E. A., 1954 - Bodenkunde, Paul Parey, Berlim.
4. PIMENTEL GOMES, F., 1953 - The Use of Mitscherlich's Regression Law in the Analysis of Experiments with Fertilizes. Biometrics 9: 498-516.