Paper · 1921 · The Journal of Agricultural Science

Studies in crop variation. I. An examination of the yield of dressed grain from Broadbalk

R. A. Fisher

9
claims
20
verbatim quotes
218
citations
2
research areas
—
Not open access

Abstract

In Part I is given a survey of the results of a statistical examination of the yield of the plots of Broadbalk “Wheat field during 67 years. The main features of the comparison of mean yields are well known; the comparative rates of decrement, shown in Section 5, supply a class of facts well worthy of further study. Particularly striking are the relatively slow rates of decrement of plots 2 b and 8, compared with plot 7, which would seem to show a permanent advantage in very high nitrogenous dressings, and to emphasise the need for caution in the application of the principle of diminishing returns. The evidence of the influence of potassium sulphate and its substitutes, sodium sulphate and magnesium sulphate, shown in Table V, is also very striking. An unsuspected feature of the changes of mean yields, which precludes the possibility of obtaining from these data true curves of exhaustion has appeared in the slow changes which have taken place in all the plots in a similar manner. In Part II the mathematical methods by which the variation has been analysed has been discussed, partly as a justification of novel procedure, partly, to make clear that the three types of variations found have been genuinely distinguished. In Part III such evidence as is available has been presented, in order to throw light upon the possibility that the changes in mean yield have been caused by variations in the prevalence of weeds at different periods. One point of importance which should be emphasised is that average wheat yields, even over long periods, from different fields or for different seasons cannot approach in accuracy the comparison of plots of the same field in the same seasons. The advantage of the method adopted by Lawes in the permanent experiments which he instituted is very evident. The effects of weather clearly require that the seasons should be identical, unless the series be very long, but the slow changes in mean yield show that even comparatively long series of different years from the same field cannot be accurately compared. Within the same field, however, the slow changes have almost proportional effects, and comparison between the mean yields of neighbouring plots may be made with great accuracy. The only case in which changes in mean yield sensibly affect the comparison of averages is that of plots 17 and 18. In comparing these with plots 3 and 4, 5, 7, and 10, it would be more accurate to confine attention to high yielding periods, at which the disturbing causes are at their minimum. It is believed that the deviations from the smooth curves, which have been freed, for the most part, from the effects of exhaustion and weeds, form statistically homogeneous material for the study of meteorological effects.

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Claims 9

Observationobservedoriginal resultpositivemeasured

Claim · model-written summary

Plots 2 b and 8 had slower yield decrements than plot 7.

Material
plots 2 b and 8e0
Outcome
rates of decremente0
Direction
relatively slowe0
Comparator
plot 7e0

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

Triticum aestivum
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Verbatim

e0

“relatively slow rates of decrement of plots 2 b and 8, compared with plot 7”

✓ located verbatim in the source · abstract, characters 348–423 · show in text ↑
e1

““Wheat field”

✓ located verbatim in the source · abstract, characters 111–123 · show in text ↑
Intervention effectobservedoriginal resultmeasured

Claim · model-written summary

Potassium sulphate and substitutes influenced wheat yield.

Treatment
potassium sulphate and its substitutes, sodium sulphate and magnesium sulphatee0
Outcome
mean yieldse1

Not reportedComparatorDirection

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

Triticum aestivum
Triticum aestivum · TaxonRasbak · CC BY-SA 3.0 · Wikimedia Commons ↗

Verbatim

e0

“influence of potassium sulphate and its substitutes, sodium sulphate and magnesium sulphate”

✓ located verbatim in the source · abstract, characters 626–717 · show in text ↑
e1

“changes of mean yields”

✓ located verbatim in the source · abstract, characters 790–812 · show in text ↑
e2

““Wheat field”

✓ located verbatim in the source · abstract, characters 111–123 · show in text ↑
Observationobservedoriginal resultmeasured

Claim · model-written summary

All plots underwent similar slow changes in mean yield.

Outcome
mean yieldse1
Direction
slow changese0

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

Triticum aestivum
Triticum aestivum · TaxonRasbak · CC BY-SA 3.0 · Wikimedia Commons ↗

Verbatim

e0

“slow changes which have taken place in all the plots in a similar manner”

✓ located verbatim in the source · abstract, characters 921–993 · show in text ↑
e1

“changes of mean yields”

✓ located verbatim in the source · abstract, characters 790–812 · show in text ↑
e2

““Wheat field”

✓ located verbatim in the source · abstract, characters 111–123 · show in text ↑
Method / resourceobservedoriginal resultmeasured

Claim · model-written summary

Three types of variation were distinguished.

Outcome
types of variationse0
Value
threee0

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

Triticum aestivum
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Verbatim

e0

“the three types of variations found have been genuinely distinguished”

✓ located verbatim in the source · abstract, characters 1165–1234 · show in text ↑
e1

““Wheat field”

✓ located verbatim in the source · abstract, characters 111–123 · show in text ↑
Method / resourceobservedoriginal resultmeasured

Claim · model-written summary

Long series of average wheat yields from different fields or seasons cannot match same-field same-season plot comparisons in accuracy.

Outcome
accuracye0
Direction
cannot approache0
Comparator
comparison of plots of the same field in the same seasonse0

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

Triticum aestivum
Triticum aestivum · TaxonRasbak · CC BY-SA 3.0 · Wikimedia Commons ↗

Verbatim

e0

“average wheat yields, even over long periods, from different fields or for different seasons cannot approach in accuracy the comparison of plots of the same field in the same seasons”

✓ located verbatim in the source · abstract, characters 1513–1695 · show in text ↑
Method / resourceobservedoriginal resultmeasured

Claim · model-written summary

Slow changes in mean yield make even long series of different years from one field inaccurate to compare.

Outcome
accurately comparede0
Comparator
different years from the same fielde0

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

Triticum aestivum
Triticum aestivum · TaxonRasbak · CC BY-SA 3.0 · Wikimedia Commons ↗

Verbatim

e0

“even comparatively long series of different years from the same field cannot be accurately compared”

✓ located verbatim in the source · abstract, characters 1962–2061 · show in text ↑
e1

““Wheat field”

✓ located verbatim in the source · abstract, characters 111–123 · show in text ↑
Method / resourceobservedoriginal resultpositivemeasured

Claim · model-written summary

Neighboring plot mean yields can be compared accurately within one field.

Outcome
great accuracye0
Comparator
neighbouring plotse0

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

Triticum aestivum
Triticum aestivum · TaxonRasbak · CC BY-SA 3.0 · Wikimedia Commons ↗

Verbatim

e0

“comparison between the mean yields of neighbouring plots may be made with great accuracy”

✓ located verbatim in the source · abstract, characters 2150–2238 · show in text ↑
e1

““Wheat field”

✓ located verbatim in the source · abstract, characters 111–123 · show in text ↑
Observationobservedoriginal resultmeasured

Claim · model-written summary

Changes in mean yield sensibly affect average comparisons for plots 17 and 18.

Material
plots 17 and 18e0
Outcome
comparison of averagese0

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

Triticum aestivum
Triticum aestivum · TaxonRasbak · CC BY-SA 3.0 · Wikimedia Commons ↗

Verbatim

e0

“The only case in which changes in mean yield sensibly affect the comparison of averages is that of plots 17 and 18”

✓ located verbatim in the source · abstract, characters 2240–2354 · show in text ↑
e1

““Wheat field”

✓ located verbatim in the source · abstract, characters 111–123 · show in text ↑
Recommendationauthor interpretationoriginal resultbasis n/a

Claim · model-written summary

The authors advise comparing plots 17 and 18 with other plots during high yielding periods.

Outcome
confine attention to high yielding periodse0
Comparator
plots 3 and 4, 5, 7, and 10e0

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

Triticum aestivum
Triticum aestivum · TaxonRasbak · CC BY-SA 3.0 · Wikimedia Commons ↗

Verbatim

e0

“In comparing these with plots 3 and 4, 5, 7, and 10, it would be more accurate to confine attention to high yielding periods”

✓ located verbatim in the source · abstract, characters 2356–2480 · show in text ↑
e1

“plots 17 and 18”

✓ located verbatim in the source · abstract, characters 2339–2354 · show in text ↑
e2

““Wheat field”

✓ located verbatim in the source · abstract, characters 111–123 · show in text ↑