Abstract
This study analyses the trends and randomness in soybean area, production, and yield over a 54-year period for Madhya Pradesh and India. The Test of Randomness was applied to examine whether the data followed a random pattern or exhibited systematic behaviour. Results revealed that all parameters: area, production and yield showed significant deviations from randomness, with t-values less than the critical value at the 5% significance level. This indicates the presence of structured trends in all series. Trend analysis using cubic models further confirmed non-linear patterns in the data. In both Madhya Pradesh and India, area and production exhibited strong model fits with high R² values, while yield trends were weaker and more unstable. These findings suggest that while soybean cultivation has expanded steadily in terms of area and production, yield remains inconsistent, especially in Madhya Pradesh. The study highlights the need for targeted interventions to enhance productivity and stabilize yield trends for sustainable soybean growth.
Abstract from the paper’s OpenAlex record, shown for indexing and research. Copyright remains with the authors or the publisher. Read at the source ↗
The text the model read, with the source record’s inline markup (italics, sub- and superscripts) rendered and its character entities decoded; quote offsets refer to the raw text.
Claims 11
Claim · model-written summary
Soybean area deviated significantly from randomness.
- Taxon
- soybean
Glycine maxt0 - Outcome
- areae0
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“all parameters: area, production and yield showed significant deviations from randomness”
t0“soybean cultivation”
Claim · model-written summary
Soybean production deviated significantly from randomness.
- Taxon
- soybean
Glycine maxt0 - Outcome
- productione0
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“all parameters: area, production and yield showed significant deviations from randomness”
t0“soybean cultivation”
Claim · model-written summary
Soybean yield deviated significantly from randomness.
- Taxon
- soybean
Glycine maxt0 - Outcome
- yielde0
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“all parameters: area, production and yield showed significant deviations from randomness”
t0“soybean cultivation”
Claim · model-written summary
Cubic models found non-linear patterns in soybean cultivation data.
- Taxon
- soybean
Glycine maxt0 - Outcome
- non-linear patternse0
- Comparator
- cubic modelse0
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“Trend analysis using cubic models further confirmed non-linear patterns in the data”
t0“soybean cultivation”
Claim · model-written summary
Soybean area had strong cubic model fits in Madhya Pradesh and India.
- Taxon
- soybean
Glycine maxt0 - Outcome
- strong model fitse0
- Qualifier
- areae0
- Setting
- Madhya Pradesh and Indiae0
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“In both Madhya Pradesh and India, area and production exhibited strong model fits with high R² values”
t0“soybean cultivation”
Claim · model-written summary
Soybean production had strong cubic model fits in Madhya Pradesh and India.
- Taxon
- soybean
Glycine maxt0 - Outcome
- strong model fitse0
- Qualifier
- productione0
- Setting
- Madhya Pradesh and Indiae0
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“In both Madhya Pradesh and India, area and production exhibited strong model fits with high R² values”
t0“soybean cultivation”
Claim · model-written summary
Soybean yield trends were weaker and more unstable.
- Taxon
- soybean
Glycine maxt0 - Outcome
- yield trendse0
- Direction
- weakere0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“yield trends were weaker and more unstable”
t0“soybean cultivation”
Claim · model-written summary
Soybean cultivation area expanded steadily.
- Taxon
- soybean
Glycine maxe0 - Outcome
- areae0
- Direction
- expanded steadilye0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“soybean cultivation has expanded steadily in terms of area and production”
Claim · model-written summary
Soybean production expanded steadily.
- Taxon
- soybean
Glycine maxe0 - Outcome
- productione0
- Direction
- expanded steadilye0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“soybean cultivation has expanded steadily in terms of area and production”
Claim · model-written summary
Soybean yield remained inconsistent, particularly in Madhya Pradesh.
- Taxon
- soybean
Glycine maxt0 - Outcome
- yielde0
- Setting
- Madhya Pradeshe0
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“yield remains inconsistent, especially in Madhya Pradesh”
t0“soybean cultivation”
Claim · model-written summary
The authors call for targeted interventions to improve productivity and stabilize soybean yields.
- Taxon
- soybean
Glycine maxt0 - Outcome
- targeted interventions to enhance productivity and stabilize yield trendse0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“need for targeted interventions to enhance productivity and stabilize yield trends”
t0“soybean cultivation”