With a rapidly growing world population, the pressure on limited fresh water resources increases. Agriculture is the largest water consuming sector. It faces competing demands from other sectors, such as the industrial and the domestic sectors. With an increasing population and less water available for agricultural production, the food security for future generations is at stake. The great challenge of the agricultural sector is to produce more food from less water, which can be achieved by increasing Crop Water Productivity (CWP) .
Limited water is the principal factor responsible for reduced cereal yields globally and especially in Mediterranean environment . The response of crop yield to water stress is different for crop type and climate. Therefore, the values of CWSI should be determined for a particular crop in different climates to be used in irrigation scheduling.
Remote sensing techniques were used and evaluated to estimate ETa and ETc - and predict soil water availability  for irrigation water management in last years.
Factors such as water stress, stomata conductivity, heat flux, transpiration and the cooling cause plants to close their stomata, as a result, evaporation decreases and the canopy temperature increases, when compared to non-stressed plants . So, monitoring and detecting crop water stress is important to know crop health during the growing season. One way to get an indicator for crop water stress is measuring plant water content; fresh biomass minus dry biomass. This is a very time consuming method, so it is not easily applicable to construct time series of crop water stress. The widely used method was developed by  , using remote sensing method in the thermal infrared (TIR) spectrum.
The surface temperature and crop water stress are associated for the reason that as a crop transpires, the evaporated water cools the canopy below the air temperature. Moreover, as a crop becomes water stressed, the transpiration will decrease and the crop surface temperatures will then increase sometimes more than the air temperature .
In water stressed condition, the plants tend to close their stomata, as a result, evaporation decreases and the canopy temperature increases, when compared to non-stressed plants. Therefore, the concept of canopy temperature was implemented to determine plant water status . The empirical relationship for canopy-air temperatures difference (Tc-Ta) versus vapor pressure deficit (VPD) was represented to quantify the crop water stress.  found that cotton yield was declined when the average CWSI during the season was greater than 0.2.
 developed empirical linear relationships between canopy and air temperature difference dT (Tc-Ta) and Vapor Pressure Deficit (VPD). The lower limit of dT versus VPD represents that the crop is well watered. Upper limit of dT versus VPD means the crop is not transpiring and dry  and  . Application of CWSI with satellite-based or aircraft-based measurements of surface temperature is generally applied to full-canopy conditions so that the surface temperature is equal to canopy temperature. Decreased water uptake closes stomata of the leaves resulted in reduction of transpiration. The leaf or canopy temperature can be used to quantify plant water stress.
The main object of this study is to estimate the crop water status through Radar and optical remote sensing data.
2. Materials and Methods
2.1. Study Area Description
The study area is located in the eastern part of the Nile delta Figure 1.
2.2. Remote Sensing Data
Landsat8 image on Jul. 26th, 2016, (path 192/row 030) around 10 a.m. local time with 30 meter ground resolution and Sentinel-1 radar data on Jul. 26th, 2016 with 10 meter ground resolution were used.
2.3. NDVI and LST Estimation
Landsat 8 bands 4 and 5 provide red (R) and near-infra red (NIR) measurements and therefore can be used to generate NDVI with the following formula:
NDVI = (Band 5 − Band 4)/(Band 5 + Band 4) (1)
The recorded digital numbers (DN) were converted to radiance units (Rad) using the calibration coefficients specific for each band. Band 10 was used to extract LST as follow:
Rad = 0.0003342 * DN + 0.10000 (2)
Surface emissivity (Eo) was estimated from NDVI using the empirical equation developed from raw data on NDVI and thermal emissivity .
Eo = 0.9932 + 0.0194 lnNDVI (3)
The radiant temperature (To) can be calculated from band 10 radiance (Rad 10) using calibration constants K1 = 774.89 and K2 = 1321.08.
Figure 1. Location map of the study area.
To = K2/ln((K1/Rad10) + 1) (4)
The resulting temperature (Kelvin) is satellite radiant temperature of the viewed Earth atmosphere system, which is correlated with, but not the same as, the surface (kinetic) temperature. The atmospheric effects and surface thermal emissivity have to be considered in order to obtain the accurate estimate of surface temperature from satellite thermal data . LST is calculated from the top of atmosphere radiant temperature (To) and estimated surface emissivity (Eo) as:
LST = To/Eo (5)
2.4. ETa and ETc Estimation
 showed that there is a unique mathematical relationship between CWSI and evapotranspiration from vegetation surface as follows:
where ETa is actual evapotranspiration, ETc is potential crop evapotranspiration and CWSI is Crop Water Stress Index. CWSI approach was preceded and developed by  . They proposed the empirical and theoretical methods to estimate CWSI as follows:
where: ∆T is the deference between measured surface and air temperature, ∆Tm is the deference between minimum surface and air temperature and ∆Tx is the deference between maximum surface and air temperature. Since all variable have the same units, CWSI is a dimensionless ratio. The lower limit of dT occurs under non-water-stressed conditions when ET is only limited by atmospheric demand. On the other hand, the upper limit of dT is reached under non-transpir- ing conditions when ET is stopped due to the lack of water. The values of CWSI are ranged between zero and one where zero indicates no stress and value of one indicates maximum stress.
Many researchers studied the relation between Kc and NDVI, Similarities between Kc curve and a satellite-derived vegetation index showed potential for modeling a Kc as a function of the vegetation index . Therefore, the possibility of directly estimating Kc from satellite data was investigated  and  . represented the relation between Kc and NDVI through Equation (8) which calibrated for wheat by .
where; 1.2 is the maximum Kc, NDVIdv is difference between minimum and maximum NDVI value for vegetation and NDVImv is the minimum NDVI value for vegetation.
ETo was calculated from meteorological data using FPM method (Equation (9)) which prepared by . This formula applied to calculate ETo.
where; ETo, reference evapotranspiration [mm/day], Rn, net radiation at the crop surface [MJ/m2/day], G, soil heat flux density [MJ/m2/day], T, mean daily air temperature at 2 m height [˚C], u2, wind speed at 2 m height [m/s], es, saturation vapour pressure [kPa], ea, actual vapour pressure [kPa], es − ea, saturation vapour pressure deficit [kPa], Δ, slope vapour pressure curve [kPa/˚C], γ, psychrometric constant [kPa/˚C].
Equations (8) and (9) were used to estimate (ETc) as shown in Equation (10).
ETc = ETo * Kc (10)
2.5. Sentinel Data Processing
The crop and soil water content are indexed by the calibrated radar data of the backscattered VV-polarization data. According to SNAP software help manual, the objective of SAR calibration is to provide imagery in which the pixel values can be directly related to the radar backscatter of the scene. To do this, the application output scaling applied by the processor must be undone and the desired scaling must be applied. Level-1 products provide four calibrations Look Up Tables (LUTs) to produce β0i, σ0i and γi or to return to the Digital Number (DN). The LUTs apply a range-dependent gain including the absolute calibration constant. For GRD products, a constant offset is also applied.
The radiometric calibration is applied by the following equation:
where, depending on the selected LUT,
= one of, or
= one of, , or
Bi-linear interpolation is used for any pixels that fall between points in the LUT.
3. Results and Discussion
3.1. Potential and Actual Evapotranspiration
ETc was estimated through Equation (10) based on two parameters which are ETo and Kc.  and   used FPM method, to estimate ETo based on ground meteorological data to evaluate or to coupling with remotely sensed data. ETo estimated from ground meteorological data according to FPM model. ETo value was 6.7 mm/day.
Many researchers studied the relation between Kc and NDVI    . They demonstrated that ET for irrigated agriculture can be estimated by applying empirical data to develop a relationship between the normalized difference vegetation index NDVI and Kc.   have similarly used remote sensing to estimate Kcb note that Kcb methods can be transformed to Kc methods by adding an estimate for Ke to Kcb.
The relation between Kc and NDVI is highly correlated where both of them is varying from planting to senescence in the same way. NDVI is calculating from Red and NIR bands, and varying according to crop age, planting density and chlorophyll activity. The results of Kc values varied from 0 to 1.2.
In study area, ETc values varied from 0 to 7.8 mm/day according to land cover type, crop stage and weather conditions as shown in Figure 2.
In arid and semi-arid climates, ET ranges over a large interval depending on water regimes. Moreover, the variation in one weather parameter immediately influences all the other variables that are mutually related. This fact makes difficult to correctly evaluate the ETa .  have analyzed the efficiency of three methods based on the FAO-56 Kc approach to estimate ETa for winter wheat under different irrigation treatments in the semi-arid conditions of Morocco. ETa was estimated according to Equation (6). It was affected by the changing in CWSI and ETc. The values of ETa varied from 0 to 6.4 mm/day. As shown as in Figure 2, the increasing in ETa was observed according to land cover type, crop stage, weather conditions and water stress conditions.
3.2. The Relation between Sentinel-1 and Landsat-8 Data
The radar data from the European Space Agency’s Sentinel-1A/B GRDH (Ground Range Detected High Resolution), was used after radiometric and geometric calibration to represent the SAR data. On the other hand, the landsat8 data was used to calculate NDVI, LST, CWSI and ETa.
The backscattering data increased according to crop and soil water content. According to Figure 3, the relation between Backscattering and NDVI was good
Figure 2. ETc and ETa destrbution (mm/day).
Figure 3. The relation between Backscattering SAR data and NDVI, LST, CWSI and ETa.
and R2 was high as 0.9, while the relation between backscattering and LST was Inverse relationship and R2 was high as 0.82. As well as, the relation between backscattering and CWSI was Inverse relationship and R2 was 0.82. On the other hand the relation between backscattering and ETa was logarithmic with high R2 (0.88).
The backscattering (dB) is very effective to qualitative and quantitative crop and soil water content. In northern part of Egypt during winter season, the analysis of VH and VV data is very useful in case of cloud coverage status. The relation between radar and optical remote sensing data was strong. Water stress can be estimated using Radar data as well as optical data.
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