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Figure 1.

Relationship between evapotranspiration (ETo) and important weather parameters (Skierniewice 2009–2022)
Relationship between evapotranspiration (ETo) and important weather parameters (Skierniewice 2009–2022)

Figure 2.

The importance of variables when creating regression treesSR – average solar radiation level, VPD – vapor pressure deficit, Tmax – maximum temperature, Tavg – average temperature, RH – relative humidity, Ra – extraterrestrial solar radiation, #D – day number of the year
The importance of variables when creating regression treesSR – average solar radiation level, VPD – vapor pressure deficit, Tmax – maximum temperature, Tavg – average temperature, RH – relative humidity, Ra – extraterrestrial solar radiation, #D – day number of the year

Figure 3.

The importance of variables when creating boosted treesNote: see Figure 2
The importance of variables when creating boosted treesNote: see Figure 2

Figure 4.

The importance of variables when creating random forestsNote: see Figure 2
The importance of variables when creating random forestsNote: see Figure 2

Figure 5.

Net changes in extraterrestrial solar radiation (Ra) and the average level of solar radiation (SR) during the vegetation period (Skierniewice 2009–2022)
Net changes in extraterrestrial solar radiation (Ra) and the average level of solar radiation (SR) during the vegetation period (Skierniewice 2009–2022)

Pearson correlation coefficients between daily evapotranspiration (ETo) and meteorological data

SR Tavg Tmax RH U2 Ra VPD #D
ETo 0.94 0.66 0.72 −0.69 0.05 0.62 0.82 −0.41

Statistical analysis of the performance of the RT, BRT, RF, and ANN models in estimating daily ETo with two different meteorological input datasets

Model Radiation R2 Slope MSE RMSE
Regression trees + 0.911 0.911 0.108 0.329
0.813 0.813 0.228 0.478
Boosted trees + 0.942 0.931 0.073 0.269
0.834 0.825 0.205 0.453
Random forests + 0.952 0.895 0.066 0.256
0.841 0.799 0.207 0.455
Artificial neural networks + 0.963 0.947 0.023 0.152
0.870 0.843 0.082 0.286
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