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Mitscherlich's Law: Sum of two exponential Processes - Conclusions

It will be shown, that Mitscherlich's formula, the crop yield as function of the fertilizer, can be partitioned into two parts. One comes from the fertilizer in the soil, the other from the fertilizer, supplied from outside. As a consequence, the quantity of the fertilizer, which is extracted from the soil by the crop, can be computed. Correspondingly new fertilizing can be planned.

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Mitscherlich's Law: Sum of two exponential Processes - Conclusions | soil-statistic.de Reviews

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It will be shown, that Mitscherlich's formula, the crop yield as function of the fertilizer, can be partitioned into two parts. One comes from the fertilizer in the soil, the other from the fertilizer, supplied from outside. As a consequence, the quantity of the fertilizer, which is extracted from the soil by the crop, can be computed. Correspondingly new fertilizing can be planned.

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Mitscherlich's Law: Sum of two exponential Processes - Conclusions | soil-statistic.de Reviews

https://soil-statistic.de

It will be shown, that Mitscherlich's formula, the crop yield as function of the fertilizer, can be partitioned into two parts. One comes from the fertilizer in the soil, the other from the fertilizer, supplied from outside. As a consequence, the quantity of the fertilizer, which is extracted from the soil by the crop, can be computed. Correspondingly new fertilizing can be planned.

INTERNAL PAGES

soil-statistic.de

1

Liebig's Law: An Application of Generalized Mitscherlich's Law

http://www.soil-statistic.de/liebigs-law/liebigs-law.html

Zurück zur Übersicht. Liebig's Law: An Application of Generalized Mitscherlich's Law. Institute of Statistics, University of Erlangen-Nürnberg, Germany. Liebig's Law and his barrel-model are another presentation of the generalized Law of Mitscherlich. The staves of Liebig are not only of different length, but also with different scales. Introduction to Liebig's Barrel. It was shown in Mitscherlich's Generalized Law (Schneeberger, 2010b, paper 4. Is the product of the one-dimensional functions. C, ie only...

2

Over-Fertilization: An Inverse Mitscherlich Process

http://www.soil-statistic.de/overfertilization/overfertilization.html

Zurück zur Übersicht. Over-Fertilization: An Inverse Mitscherlich Process. Institute of Statistics, University of Erlangen-Nürnberg, Germany. The sequence of these two processes is well-known in mechanics of steel and concrete. The coincidence of data and hypotheses there is much better than in agronomy, as the experimental conditions are incomparably better. So those results could be used as pilot-study for this agronomic application. Mitscherlich process; inverse, exponential process. As curve (I) ends...

3

Mitscherlich's Law: Generalization with several fertilizers

http://www.soil-statistic.de/mitscherlichs-law-generalization/mitscherlichs-law-generalization.html

Zurück zur Übersicht. Mitscherlich's Law: Generalization with several Fertilizers. Institute of Statistics, University of Erlangen-Nürnberg, Germany. It is shown, that the crop-yield z in dependence on two fertilizers x and y is the product of two components: z in dependence on x alone and z in dependence on y alone, divided by c, the yield without extern fertilizers, i.e. with x = y = 0. For n fertilizers, we have the product of n components, divided by c. As function of one fertilizer x. Generalizing f...

4

Over-Fertilization can be - and you do not notice it

http://www.soil-statistic.de/overfertilization_3b/overfertilization_3b.html

Zurück zur Übersicht. Over-Fertilization can be - and you do not notice it. Institute of Statistics, University of Erlangen-Nürnberg, Germany. 15 treatments were made. Each treatment consisted of 4 pots (8 pots for treatment 15) with 2500 g of air-dry soil and the same quantity of fertilizers N, P and Zn (mg/kg). These quantities are given in Kremper's paper in table 1, the yields y (g/pot) are given there in table 2. These results - with means. Mean of dry matter. To find the dependence of y on x alone,...

5

Mitscherlich's Law: Sum of two exponential Processes - Conclusions

http://www.soil-statistic.de/impressum.html

Zurück zur Übersicht. Prof Dr. Hans Schneeberger. E-Mail: hans-schneeberger [at] t-online.de. Aus Gründen des Spam-Schutzes ist die E-Mail-Adresse maskiert. Ersetzen Sie in Ihrem E-Mail-Programm das "[at]" durch das Zeichen "@". Technisch und inhaltlich verantwortlich gemäß Telemediengesetz:. Prof Hans Schneeberger, E-Mail: hans-schneeberger [at] t-online.de. Aus Gründen des Spam-Schutzes ist die E-Mail-Adresse maskiert. Ersetzen Sie in Ihrem E-Mail-Programm das "[at]" durch das Zeichen "@".

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Mitscherlich's Law: Sum of two exponential Processes - Conclusions

Institute of Statistics, University of Erlangen-Nürnberg, Germany. Paper 1: Mitscherlich's Law: Sum of two exponential Processes. Conclusions. Paper 2: Mitscherlich's Law: A Supplement. Paper 3a: Over-Fertilization: An Inverse Mitscherlich Process. Paper 3b: Over-Fertilization can be - and you do not notice it. Paper 4: Mitscherlich's Law: Generalization with several Fertilizers. Paper 5: Mitscherlich's Law: Generalization with several Fertilizers and Overfertilization.

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