Abstract
Soybean plant density is an important factor of successful agricultural production. Due to the high number of plants per unit area, early plant overlapping and eventual plant loss, the estimation of soybean plant density in the later stages of development should enable the determination of the final plant number and reflect the state of the harvest. In order to assess soybean plant density in a digital, nondestructive, and less intense way, analysis was performed on RGB images (containing three channels: RED, GREEN, and BLUE) taken with a UAV (Unmanned Aerial Vehicle) on 66 experimental plots in 2018, and 200 experimental plots in 2019. Mean values of the R, G, and B channels were extracted for each plot, then vegetation indices (VIs) were calculated and used as predictors for the machine learning model (MLM). The model was calibrated in 2018 and validated in 2019. For validation purposes, the predicted values for the 200 experimental plots were compared with the real number of plants per unit area (m2). Model validation resulted in the correlation coefficient—R = 0.87, mean absolute error (MAE) = 6.24, and root mean square error (RMSE) = 7.47. The results of the research indicate the possibility of using the MLM, based on simple values of VIs, for the prediction of plant density in agriculture without using human labor.
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Claims 3
Claim · model-written summary
The machine learning model predicted soybean plant density in validation with a correlation coefficient R = 0.87.
- Taxon
- Soybean
Glycine maxe1 - Outcome
- correlation coefficiente0
- Value
- R = 0.87e0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“Model validation resulted in the correlation coefficient—R = 0.87”
e1“Soybean plant density is an important factor of successful agricultural production”
Claim · model-written summary
The soybean plant density prediction had a mean absolute error of 6.24.
- Taxon
- Soybean
Glycine maxe1 - Outcome
- mean absolute error (MAE)e0
- Value
- 6.24e0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“mean absolute error (MAE) = 6.24”
e1“Soybean plant density is an important factor of successful agricultural production”
Claim · model-written summary
The soybean plant density prediction had a root mean square error of 7.47.
- Taxon
- Soybean
Glycine maxe1 - Outcome
- root mean square error (RMSE)e0
- Value
- 7.47e0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“root mean square error (RMSE) = 7.47”
e1“Soybean plant density is an important factor of successful agricultural production”