Paper · 2006 · Acta Agronomica Hungarica

Use of various functions to analyse the fertiliser responses of maize ( Zea mays L.) hybrids in long-term experiments

Z. Berzsenyi; Q. L. Dang

11
claims
19
verbatim quotes
6
citations
2
research areas
—
Not open access

Abstract

The effect of various fertiliser treatments on the yield of maize hybrids was studied on the basis of 26 years of data obtained in a long-term bifactorial split-plot experiment set up in 1967. The seven treatments (NPK ratio 2:1:1) applied were as follows (rates per hectare): 1. Control (no fertiliser), 2. 100 kg NPK, 3. 200 kg NPK, 4. 300 kg NPK, 5. 400 kg NPK, 6. 600 kg NPK, 7. 800 kg NPK. The maize was grown with the conventional cultivation techniques in continuous cropping. The results of analyses carried out with three different methods (analysis of variance, cumulative yield analysis and regression analysis) all indicated that under the given conditions the yield of maize hybrids was highest at an NPK fertiliser rate of 200-400 kg ha -1 . The effect of fertilisation on the maize yield was significant in 21 of the 26 years. Combined analysis of variance for the years showed that the year effect (quantity of rainfall) had the greatest effect on the maize yield, but although the year effect had a fundamental effect on the yield level it did not influence the fertiliser response pattern. The fertiliser responses of the maize hybrids were described by fitting four types of functions (quadratic, square root, inverse exponential, linear-plateau) to the yield data. It was found that when selecting the best function a consideration of the regression deviations (measured yield - calculated yield) was just as important as the coefficient of determination (R 2 ). In 12 of the 26 years the fitting of the quadratic function was not significant and overestimated the fertilisation optimum. The fertiliser response curve generally has a broad maximum which is far better described by the square root function than by the quadratic. If the fertiliser response pattern includes a depressive phase, a square root function should definitely be used in place of the quadratic function. If the maximum of the response surface forms a plateau (as opposed to a maximum point) a linear-plateau function or an inverse exponential function can be recommended. In the present work the linear-plateau function gave the best results.

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Claims 11

Intervention effectobservedoriginal resultpositivemeasured

Claim · model-written summary

Maize hybrid yield was highest at 200-400 kg ha -1 NPK.

Taxon
maizeZea mayse0
Treatment
NPK fertiliser rate of 200-400 kg ha -1e0
Outcome
yield of maize hybridse0
Direction
higheste0

Not reportedComparator

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“yield of maize hybrids was highest at an NPK fertiliser rate of 200-400 kg ha -1”

✓ located verbatim in the source · abstract, characters 673–753 · show in text ↑
Intervention effectobservedoriginal resultsignificant (as stated)measured

Claim · model-written summary

Fertilization significantly affected maize yield in 21 of 26 years.

Taxon
maizeZea mayse0
Treatment
fertilisatione0
Outcome
maize yielde0
Value
21 of the 26 yearse0

Not reportedComparatorDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“The effect of fertilisation on the maize yield was significant in 21 of the 26 years”

✓ located verbatim in the source · abstract, characters 756–840 · show in text ↑
Associationobservedoriginal resultmeasured

Claim · model-written summary

Year and rainfall had the greatest effect on maize yield.

Taxon
maizeZea mayse0
Outcome
maize yielde0
Setting
quantity of rainfalle0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“the year effect (quantity of rainfall) had the greatest effect on the maize yield”

✓ located verbatim in the source · abstract, characters 898–979 · show in text ↑
Associationobservedoriginal resultno effectmeasured

Claim · model-written summary

Year affected maize yield levels but did not alter the fertilizer response pattern.

Taxon
maizeZea mayse1
Outcome
fertiliser response patterne0
Direction
did not influencee0
Setting
yeare0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“the year effect had a fundamental effect on the yield level it did not influence the fertiliser response pattern”

✓ located verbatim in the source · abstract, characters 994–1106 · show in text ↑
e1

“yield of maize hybrids was highest”

✓ located verbatim in the source · abstract, characters 673–707 · show in text ↑
Method / resourceobservedoriginal resultnot significant (as stated)measured

Claim · model-written summary

Quadratic fits were not significant in 12 of 26 years.

Taxon
maizeZea mayse1
Outcome
fitting of the quadratic functione0
Value
12 of the 26 yearse0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“In 12 of the 26 years the fitting of the quadratic function was not significant”

✓ located verbatim in the source · abstract, characters 1483–1562 · show in text ↑
e1

“yield of maize hybrids was highest”

✓ located verbatim in the source · abstract, characters 673–707 · show in text ↑
Method / resourceobservedoriginal resultnegativemeasured

Claim · model-written summary

The quadratic function overestimated the fertilizer optimum.

Taxon
maizeZea mayse1
Outcome
fertilisation optimume0
Direction
overestimatede0
Comparator
quadratic functione0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“the quadratic function was not significant and overestimated the fertilisation optimum”

✓ located verbatim in the source · abstract, characters 1520–1606 · show in text ↑
e1

“yield of maize hybrids was highest”

✓ located verbatim in the source · abstract, characters 673–707 · show in text ↑
Method / resourceobservedoriginal resultpositivemeasured

Claim · model-written summary

The square root function described the broad fertilizer-response maximum better than the quadratic.

Taxon
maizeZea mayse1
Outcome
broad maximume0
Direction
far bettere0
Comparator
quadratice0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“broad maximum which is far better described by the square root function than by the quadratic”

✓ located verbatim in the source · abstract, characters 1654–1747 · show in text ↑
e1

“yield of maize hybrids was highest”

✓ located verbatim in the source · abstract, characters 673–707 · show in text ↑
Method / resourceobservedoriginal resultpositivemeasured

Claim · model-written summary

The linear-plateau function gave the best results in this analysis.

Taxon
maizeZea mayse1
Outcome
best resultse0
Comparator
linear-plateau functione0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“In the present work the linear-plateau function gave the best results”

✓ located verbatim in the source · abstract, characters 2066–2135 · show in text ↑
e1

“yield of maize hybrids was highest”

✓ located verbatim in the source · abstract, characters 673–707 · show in text ↑
Recommendationauthor interpretationoriginal resultbasis n/a

Claim · model-written summary

The authors recommend using a square root function for responses with a depressive phase.

Taxon
maizeZea mayse1
Outcome
a square root function should definitely be used in place of the quadratic functione0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“If the fertiliser response pattern includes a depressive phase, a square root function should definitely be used in place of the quadratic function”

✓ located verbatim in the source · abstract, characters 1749–1896 · show in text ↑
e1

“yield of maize hybrids was highest”

✓ located verbatim in the source · abstract, characters 673–707 · show in text ↑
Recommendationauthor interpretationoriginal resultbasis n/a

Claim · model-written summary

The authors recommend linear-plateau or inverse exponential functions for plateau-shaped responses.

Taxon
maizeZea mayse1
Outcome
a linear-plateau function or an inverse exponential function can be recommendede0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“If the maximum of the response surface forms a plateau (as opposed to a maximum point) a linear-plateau function or an inverse exponential function can be recommended”

✓ located verbatim in the source · abstract, characters 1898–2064 · show in text ↑
e1

“yield of maize hybrids was highest”

✓ located verbatim in the source · abstract, characters 673–707 · show in text ↑
Method / resourceauthor interpretationoriginal resultmeasured

Claim · model-written summary

Regression deviations were as important as R 2 for selecting the best response function.

Taxon
maizeZea mayse1
Outcome
selecting the best functione0
Comparator
coefficient of determination (R 2 )e0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Zea mays
Zea mays · TaxonAkwugo · CC BY-SA 4.0 · Wikimedia Commons ↗

Verbatim

e0

“when selecting the best function a consideration of the regression deviations (measured yield - calculated yield) was just as important as the coefficient of determination (R 2 )”

✓ located verbatim in the source · abstract, characters 1303–1481 · show in text ↑
e1

“yield of maize hybrids was highest”

✓ located verbatim in the source · abstract, characters 673–707 · show in text ↑

fertilization · yield · Zea mays (maize)Positive and negative results

3,908 papers: 3,485 positive, 423 negative or no effect

3,484 papers in the same direction as this paper · 338 in the opposite direction · 85 reporting no difference from an alternative

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  2. no effect
  3. negative

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