A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas
Abstract
:1. Introduction
2. Materials and Methods
2.1. In Situ and Satellite Data
2.1.1. Study Area
2.1.2. Field Data
2.1.3. Satellite Data
- -
- For the 2002/2003 agricultural season, 10 images acquired by Landsat 7 Enhanced Thematic Mapper Plus (ETM+), SPOT4-HRVIR and SPOT5-HRG were exploited.
- -
- -
- During the 2012/2013 agricultural season, 18 images obtained from the SPOT4and Landsat 8 Operational Land Imager (OLI) sensors were used. These images were acquired during 5 months between 31 January and 15 June 2013 [43]. Radiometric correction was performed by the Multi-Sensor Atmospheric Correction Software–Prototype [45,46].
2.2. Proposed Model
2.2.1. Dry Matter
- -
- Climatic efficiency,
- -
- Interception efficiency,
- -
- Conversion efficiency,
- Water stress coefficient
- Temperature stress coefficient
2.2.2. Harvest Index, HI
- -
- -
- Constant value of HI (HI = HI0).
2.2.3. Model Calibration and Validation
- -
- Inverting the Equation (11) to determine the local values of the parameter as follows:
- -
- Adjustment of Equation (12), by using data for the fields Ci (i = 1 to 4), to determine the local values of , , and HI0.
2.2.4. Model Evaluation Metrics
3. Results and Discussion
3.1. Calibration of
- ▪
- t1 = 230 °C-day: This time corresponds to the stage 2 of the Brower scale. This shows that t1 coincides perfectly with the start of tillering. This result is reinforced by Hadria et al. [42], who obtained tillering at a CGDD equivalent to 260 °C-day. This work was calibrated and validated by the STICS model on wheat crops over our study area R3.
- ▪
- t2 = 620 °C-day: Is the thermal time corresponding to the start of the plateau phase. This time coincides with the stage 4 of the Brower scale wich corresponds to the end of tillering and the start of upstream stages. This time is characterized by the transition from leaf production to that of spikelets [85]. The obtained t2 value is slightly lower than the CGDD = 696 °C-day estimated by Toumi et al. [66], for the start of the maximum of cover fraction.
- ▪
- t3 = 1186 ° C-day: Is the time of the end of the plateau phase which corresponds to the time between stages 16 and 17 of the Brower scale. It coincides with the end of flowering and the beginning of maturity of the wheat crop.
- ▪
- t4 = 1500 °C-day: Corresponds to the end of maturity of the wheat. This time coincides well with the CGDD at wheat maturity (1462 °C-day) obtained by Toumi et al. [66].
3.2. Calibration of HI
3.3. Model Validation by Using the Observed Data
3.4. Model Evalution against AquaCrop Model
4. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A
- Comparison of the two slopes (a1 and a2): The null hypothesis (often denoted H0) is: a1 = a2. The observable value of the Fisher-Snedecor distribution (Fobs) is calculated as:
- Comparison of the two intercepts (b1 and b2): The null hypothesis (H0) is: b1 = b2. The observable value of the Fisher-Snedecor distribution (Fobs) is calculated as:
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Year | 2002/2003 | 2008/2009 | 2012/2013 | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Field | C1 | C2 | V1 | V2 | C3 | V3 | V4 | V5 | C4 | V6 |
DM (t/ha) | 5.89 | 3.75 | 1.67 | 4.79 | 5.95 | 4.91 | 5.81 | 4.67 | 7.90 | 8.04 |
GY (t/ha) | 2.87 | 1.98 | 0.9 | 2.51 | 2.81 | 2.44 | 2.96 | 2.44 | 4.15 | 4.42 |
Year | Satellite Images | Images Number | Resolution (m2) |
---|---|---|---|
2002/2003 | Landsat-TM7 | 5 | 30 |
SPOT4 | 3 | 20 | |
SPOT5 | 2 | 10 | |
2008/2009 | Landsat-TM5 | 16 | 30 |
2012/2013 | SPOT4 | 13 | 10 |
Landsat8 | 5 | 30 |
Notation | Description | Unit | Value | |
---|---|---|---|---|
Inputs | NDVI | Normalized Difference Vegetation Index | - | - |
Rg | Incoming solar radiation | MJ/m2 | - | |
Ta | Daily average air temperature | °C | - | |
P | Rainfall | mm | - | |
I | Irrigation | mm | - | |
Constants | Tmin, Topt, Tmax | Temperature for growth | °C | 5, 26, 33 |
NDVImax | Maximum value of NDVI | - | 0.92 | |
NDVImin | Minimum value of NDVI | - | 0.14 | |
εi | Climatic efficiency | - | 0.48 | |
θfc | Soil moisture at field capacity | m3/m3 | 0.32 | |
θwp | Soil moisture at wilting point | m3/m3 | 0.17 | |
HI0 | Final harvest index | - | 0.50 * | |
HI0max | Maximum value of HI0 | - | 0.59 * | |
∆HI0 | Variation range of HI0 | - | 0.15 * | |
Outputs | DM | Aboveground dry matter | t/ha | - |
GY | Grain yield | t/ha | - |
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Khabba, S.; Er-Raki, S.; Toumi, J.; Ezzahar, J.; Ait Hssaine, B.; Le Page, M.; Chehbouni, A. A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas. Agronomy 2020, 10, 1524. https://doi.org/10.3390/agronomy10101524
Khabba S, Er-Raki S, Toumi J, Ezzahar J, Ait Hssaine B, Le Page M, Chehbouni A. A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas. Agronomy. 2020; 10(10):1524. https://doi.org/10.3390/agronomy10101524
Chicago/Turabian StyleKhabba, Saïd, Salah Er-Raki, Jihad Toumi, Jamal Ezzahar, Bouchra Ait Hssaine, Michel Le Page, and Abdelghani Chehbouni. 2020. "A Simple Light-Use-Efficiency Model to Estimate Wheat Yield in the Semi-Arid Areas" Agronomy 10, no. 10: 1524. https://doi.org/10.3390/agronomy10101524