A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas

In this study, a simple model, based on a light-use-efficiency model, was developed in order to estimate growth and yield of the irrigated winter wheat under semi-arid conditions. The originality of the proposed method consists in (1) the modifying of the expression of the conversion coefficient (ε&...

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Main Authors: Saïd Khabba, Salah Er-Raki, Jihad Toumi, Jamal Ezzahar, Bouchra Ait Hssaine, Michel Le Page, Abdelghani Chehbouni
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Agronomy
Subjects:
Online Access:https://www.mdpi.com/2073-4395/10/10/1524
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author Saïd Khabba
Salah Er-Raki
Jihad Toumi
Jamal Ezzahar
Bouchra Ait Hssaine
Michel Le Page
Abdelghani Chehbouni
author_facet Saïd Khabba
Salah Er-Raki
Jihad Toumi
Jamal Ezzahar
Bouchra Ait Hssaine
Michel Le Page
Abdelghani Chehbouni
author_sort Saïd Khabba
collection DOAJ
description In this study, a simple model, based on a light-use-efficiency model, was developed in order to estimate growth and yield of the irrigated winter wheat under semi-arid conditions. The originality of the proposed method consists in (1) the modifying of the expression of the conversion coefficient (ε<sub>conv</sub>) by integrating an appropriate stress threshold (k<sub>sconv</sub>) for triggering irrigation, (2) the substitution of the product of the two maximum coefficients of interception (ε<sub>imax</sub>) and conversion (ε<sub>conv_max</sub>) by a single parameter ε<sub>max</sub>, (3) the modeling of ε<sub>max</sub> as a function of the Cumulative Growing Degree Days (CGDD) since sowing date, and (4) the dynamic expression of the harvest index (HI) as a function of the CGDD and the final harvest index (HI<sub>0</sub>) depending on the maximum value of the Normalized Difference Vegetation Index (NDVI). The calibration and validation of the proposed model were performed based on the observations of wheat dry matter (DM) and grain yield (GY) which were collected on the R3 irrigated district of the Haouz plain (center of Morocco), during three agricultural seasons. Further, the outputs of the simple model were also evaluated against the AquaCrop model estimates. The model calibration allowed the parameterization of ε<sub>max</sub> in four periods according to the wheat phenological stages. By contrast, a linear evolution was sufficient to represent the relationship between HI and CGDD. For the model validation, the obtained results showed a good agreement between the estimated and observed values with a Root Mean Square Error (RMSE) of about 1.07 and 0.57 t/ha for DM and GY, respectively. These correspond to a relative RMSE of about 19% for DM and 20% for GY. Likewise, although of its simplicity, the accuracy of the proposed model seems to be comparable to that of the AquaCrop model. For GY, R<sup>2</sup>, and RMSE values were respectively 0.71 and 0.44 t/ha for the developed approach and 0.88 and 0.37 t/ha for AquaCrop. Thus, the proposed simple light-use-efficiency model can be considered as a useful tool to correctly reproduce DM and GY values.
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spelling doaj.art-2adf6d5fc92e4b9fb4dcfbcc178d5d232023-11-20T16:15:06ZengMDPI AGAgronomy2073-43952020-10-011010152410.3390/agronomy10101524A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid AreasSaïd Khabba0Salah Er-Raki1Jihad Toumi2Jamal Ezzahar3Bouchra Ait Hssaine4Michel Le Page5Abdelghani Chehbouni6LMFE, Physics Department, Faculty of Sciences Semlalia, Cadi Ayyad University, Marrakech 40000, MoroccoMohammed VI Polytechnic University (UM6P), Center for Remote Sensing Applications (CRSA), Benguerir 43150, MoroccoLMFE, Physics Department, Faculty of Sciences Semlalia, Cadi Ayyad University, Marrakech 40000, MoroccoMohammed VI Polytechnic University (UM6P), Center for Remote Sensing Applications (CRSA), Benguerir 43150, MoroccoMohammed VI Polytechnic University (UM6P), Center for Remote Sensing Applications (CRSA), Benguerir 43150, MoroccoCentre for Space Studies of the BIOsphere (CESBIO), CNES/CNRS/IRD/UPS, 31400 Toulouse, FranceMohammed VI Polytechnic University (UM6P), Center for Remote Sensing Applications (CRSA), Benguerir 43150, MoroccoIn this study, a simple model, based on a light-use-efficiency model, was developed in order to estimate growth and yield of the irrigated winter wheat under semi-arid conditions. The originality of the proposed method consists in (1) the modifying of the expression of the conversion coefficient (ε<sub>conv</sub>) by integrating an appropriate stress threshold (k<sub>sconv</sub>) for triggering irrigation, (2) the substitution of the product of the two maximum coefficients of interception (ε<sub>imax</sub>) and conversion (ε<sub>conv_max</sub>) by a single parameter ε<sub>max</sub>, (3) the modeling of ε<sub>max</sub> as a function of the Cumulative Growing Degree Days (CGDD) since sowing date, and (4) the dynamic expression of the harvest index (HI) as a function of the CGDD and the final harvest index (HI<sub>0</sub>) depending on the maximum value of the Normalized Difference Vegetation Index (NDVI). The calibration and validation of the proposed model were performed based on the observations of wheat dry matter (DM) and grain yield (GY) which were collected on the R3 irrigated district of the Haouz plain (center of Morocco), during three agricultural seasons. Further, the outputs of the simple model were also evaluated against the AquaCrop model estimates. The model calibration allowed the parameterization of ε<sub>max</sub> in four periods according to the wheat phenological stages. By contrast, a linear evolution was sufficient to represent the relationship between HI and CGDD. For the model validation, the obtained results showed a good agreement between the estimated and observed values with a Root Mean Square Error (RMSE) of about 1.07 and 0.57 t/ha for DM and GY, respectively. These correspond to a relative RMSE of about 19% for DM and 20% for GY. Likewise, although of its simplicity, the accuracy of the proposed model seems to be comparable to that of the AquaCrop model. For GY, R<sup>2</sup>, and RMSE values were respectively 0.71 and 0.44 t/ha for the developed approach and 0.88 and 0.37 t/ha for AquaCrop. Thus, the proposed simple light-use-efficiency model can be considered as a useful tool to correctly reproduce DM and GY values.https://www.mdpi.com/2073-4395/10/10/1524wheatdry mattergrain yieldsimple modelcumulative growing degree daysnormalized difference vegetation index
spellingShingle Saïd Khabba
Salah Er-Raki
Jihad Toumi
Jamal Ezzahar
Bouchra Ait Hssaine
Michel Le Page
Abdelghani Chehbouni
A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas
Agronomy
wheat
dry matter
grain yield
simple model
cumulative growing degree days
normalized difference vegetation index
title A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas
title_full A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas
title_fullStr A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas
title_full_unstemmed A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas
title_short A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas
title_sort simple light use efficiency model to estimate wheat yield in the semi arid areas
topic wheat
dry matter
grain yield
simple model
cumulative growing degree days
normalized difference vegetation index
url https://www.mdpi.com/2073-4395/10/10/1524
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