Method for estimating parameter γ in a two-dimensional approximate furrow infiltration model

•The range of parameter γ is 0.60–0.94.•The edge effect’s relative contribution to the total furrow infiltration is 21.0%–41.7%.•A GWO–BPNN–AdaBoost model is proposed for estimating γ. This study expands the analysis of the parameter γ in the approximate furrow infiltration model (FIM) proposed by B...

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Published inComputers and electronics in agriculture Vol. 235; p. 110403
Main Authors Li, Ge, Nie, Weibo, Li, Yuchen, Zhang, Wei
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.08.2025
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Abstract •The range of parameter γ is 0.60–0.94.•The edge effect’s relative contribution to the total furrow infiltration is 21.0%–41.7%.•A GWO–BPNN–AdaBoost model is proposed for estimating γ. This study expands the analysis of the parameter γ in the approximate furrow infiltration model (FIM) proposed by Bautista et al. On the basis of the obtained results, a gray wolf optimization (GWO)–backpropagation neural network (BPNN)–adaptive boosting (AdaBoost) regression model was developed, and its γ prediction performance was compared with that of a BPNN model and BPNN–AdaBoost model. The results indicated that furrow cross section, soil texture, and water depth (h0) considerably influence the edge effect (ΔI) and γ, with γ ranging from 0.60 to 0.94. Moreover, the edge effect’s relative contribution to the total furrow infiltration is 21.0 %–41.7 %. Three performance measures, namely Bias, root mean square error (RMSE), and coefficient of determination (R2), were employed to evaluate the performance of the proposed models. The results revealed that γ values of Bias, RMSE, and R2 were –0.0009, 0.062, and 0.851 for the GWO–BPNN–AdaBoost model has the high accuracy, respectively, with furrow depth (D), bottom width (B), top width (T), n, α, saturated hydraulic conductivity (Ks), h0, effective saturation (Se) as input factors. The two-dimensional cumulative infiltration was calculated using the γ values predicted by the models. Among these predictions, those produced by the GWO–BPNN–AdaBoost model most closely aligned with the simulated values acquired using Hydrus-2D, with the Bias, RMSE, and R2 values being –0.53, 1.41 cm, and 0.993, respectively. Based on analysis of the obtained results, it is evident that GWO–BPNN–AdaBoost can estimate γ more accurately.
AbstractList This study expands the analysis of the parameter γ in the approximate furrow infiltration model (FIM) proposed by Bautista et al. On the basis of the obtained results, a gray wolf optimization (GWO)–backpropagation neural network (BPNN)–adaptive boosting (AdaBoost) regression model was developed, and its γ prediction performance was compared with that of a BPNN model and BPNN–AdaBoost model. The results indicated that furrow cross section, soil texture, and water depth (h₀) considerably influence the edge effect (ΔI) and γ, with γ ranging from 0.60 to 0.94. Moreover, the edge effect’s relative contribution to the total furrow infiltration is 21.0 %–41.7 %. Three performance measures, namely Bias, root mean square error (RMSE), and coefficient of determination (R²), were employed to evaluate the performance of the proposed models. The results revealed that γ values of Bias, RMSE, and R² were –0.0009, 0.062, and 0.851 for the GWO–BPNN–AdaBoost model has the high accuracy, respectively, with furrow depth (D), bottom width (B), top width (T), n, α, saturated hydraulic conductivity (Kₛ), h₀, effective saturation (Sₑ) as input factors. The two-dimensional cumulative infiltration was calculated using the γ values predicted by the models. Among these predictions, those produced by the GWO–BPNN–AdaBoost model most closely aligned with the simulated values acquired using Hydrus-2D, with the Bias, RMSE, and R² values being –0.53, 1.41 cm, and 0.993, respectively. Based on analysis of the obtained results, it is evident that GWO–BPNN–AdaBoost can estimate γ more accurately.
•The range of parameter γ is 0.60–0.94.•The edge effect’s relative contribution to the total furrow infiltration is 21.0%–41.7%.•A GWO–BPNN–AdaBoost model is proposed for estimating γ. This study expands the analysis of the parameter γ in the approximate furrow infiltration model (FIM) proposed by Bautista et al. On the basis of the obtained results, a gray wolf optimization (GWO)–backpropagation neural network (BPNN)–adaptive boosting (AdaBoost) regression model was developed, and its γ prediction performance was compared with that of a BPNN model and BPNN–AdaBoost model. The results indicated that furrow cross section, soil texture, and water depth (h0) considerably influence the edge effect (ΔI) and γ, with γ ranging from 0.60 to 0.94. Moreover, the edge effect’s relative contribution to the total furrow infiltration is 21.0 %–41.7 %. Three performance measures, namely Bias, root mean square error (RMSE), and coefficient of determination (R2), were employed to evaluate the performance of the proposed models. The results revealed that γ values of Bias, RMSE, and R2 were –0.0009, 0.062, and 0.851 for the GWO–BPNN–AdaBoost model has the high accuracy, respectively, with furrow depth (D), bottom width (B), top width (T), n, α, saturated hydraulic conductivity (Ks), h0, effective saturation (Se) as input factors. The two-dimensional cumulative infiltration was calculated using the γ values predicted by the models. Among these predictions, those produced by the GWO–BPNN–AdaBoost model most closely aligned with the simulated values acquired using Hydrus-2D, with the Bias, RMSE, and R2 values being –0.53, 1.41 cm, and 0.993, respectively. Based on analysis of the obtained results, it is evident that GWO–BPNN–AdaBoost can estimate γ more accurately.
ArticleNumber 110403
Author Li, Ge
Li, Yuchen
Nie, Weibo
Zhang, Wei
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Keywords Furrow irrigation
Gray wolf optimization (GWO)
Adaptive boosting (AdaBoost)
Backpropagation neural network (BPNN)
Edge effect
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Snippet •The range of parameter γ is 0.60–0.94.•The edge effect’s relative contribution to the total furrow infiltration is 21.0%–41.7%.•A GWO–BPNN–AdaBoost model is...
This study expands the analysis of the parameter γ in the approximate furrow infiltration model (FIM) proposed by Bautista et al. On the basis of the obtained...
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SubjectTerms Adaptive boosting (AdaBoost)
agriculture
algorithms
Backpropagation neural network (BPNN)
Edge effect
edge effects
electronics
Furrow irrigation
furrows
Gray wolf optimization (GWO)
hydraulic conductivity
prediction
regression analysis
soil texture
Title Method for estimating parameter γ in a two-dimensional approximate furrow infiltration model
URI https://dx.doi.org/10.1016/j.compag.2025.110403
https://www.proquest.com/docview/3206192933
Volume 235
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