Abstract
ABSTRACT VARIANCE, autocorrelation, and crosscorrelation of factors which influence physical or biological processes may be sample volume dependent and this dependence should be considered when designing experiments or when modeling natural or agricultural systems. Model and field studies were conducted to describe the influence of sample volume on variance, autocorrelation, and cross-correlation of sorghum fresh weight, cumulative infiltration and soil moisture. Regularized, or volume dependent, correlograms were derived from point variance and covariance functions. Field measurements of grain sorghum fresh weight, cumulative infiltration and soil moisture complemented a theoretical development. One to four meter row sections were harvested and tested for infiltration and soil samples were taken to a depth of at least 122 cm to assess the effect of sample length on variance, autocorrelation, and cross-correlation of yield, infiltration and soil moisture. Autocorrelation of sorghum fresh weight yield and infiltration volume increased with sample length and the increase was related to a decrease in variance. Correlation was stronger in the intrarow and depth directions than in the interrow direction for yield, infiltration, and soil moisture. Generally yield sample length did not influence cross-correlation between water content and yield, and infiltration sample length did not affect correlation between water content and infiltration. However, correlation between yield and soil moisture was enhanced by increasing the length of soil sample late in the season.
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Claims 8
Claim · model-written summary
Autocorrelation of sorghum fresh weight yield increased with sample length as variance decreased.
- Treatment
- sample lengthe0
- Outcome
- Autocorrelation of sorghum fresh weight yielde0
- Direction
- increasede0
- Qualifier
- decrease in variancee0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“Autocorrelation of sorghum fresh weight yield and infiltration volume increased with sample length and the increase was related to a decrease in variance.”
Claim · model-written summary
Infiltration-volume autocorrelation increased with sample length as variance decreased.
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“Autocorrelation of sorghum fresh weight yield and infiltration volume increased with sample length and the increase was related to a decrease in variance.”
Claim · model-written summary
For yield, spatial correlation was stronger along rows and depth than between rows.
- Outcome
- Correlatione0
- Direction
- strongere0
- Qualifier
- intrarow and depth directionse0
- Comparator
- interrow directione0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“Correlation was stronger in the intrarow and depth directions than in the interrow direction for yield, infiltration, and soil moisture.”
e1“Field measurements of grain sorghum fresh weight, cumulative infiltration and soil moisture complemented a theoretical development.”
Claim · model-written summary
For infiltration, spatial correlation was stronger along rows and depth than between rows.
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“Correlation was stronger in the intrarow and depth directions than in the interrow direction for yield, infiltration, and soil moisture.”
e1“Field measurements of grain sorghum fresh weight, cumulative infiltration and soil moisture complemented a theoretical development.”
Claim · model-written summary
For soil moisture, spatial correlation was stronger along rows and depth than between rows.
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“Correlation was stronger in the intrarow and depth directions than in the interrow direction for yield, infiltration, and soil moisture.”
e1“Field measurements of grain sorghum fresh weight, cumulative infiltration and soil moisture complemented a theoretical development.”
Claim · model-written summary
Yield sample length generally did not influence water-content and yield cross-correlation.
- Treatment
- yield sample lengthe0
- Outcome
- cross-correlation between water content and yielde0
- Direction
- did not influencee0
Not reportedTaxon
Verbatim
e0“Generally yield sample length did not influence cross-correlation between water content and yield”
Claim · model-written summary
Infiltration sample length generally did not affect water-content and infiltration correlation.
- Treatment
- infiltration sample lengthe0
- Outcome
- correlation between water content and infiltratione0
- Direction
- did not affecte0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“infiltration sample length did not affect correlation between water content and infiltration.”
e1“Field measurements of grain sorghum fresh weight, cumulative infiltration and soil moisture complemented a theoretical development.”
Claim · model-written summary
Longer soil samples enhanced yield and soil-moisture correlation late in the season.
- Treatment
- increasing the length of soil samplee0
- Outcome
- correlation between yield and soil moisturee0
- Direction
- enhancede0
- Qualifier
- late in the seasone0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“correlation between yield and soil moisture was enhanced by increasing the length of soil sample late in the season.”
e1“Field measurements of grain sorghum fresh weight, cumulative infiltration and soil moisture complemented a theoretical development.”