Arson correlation coefficient (r) with the estimated soil heat flux employing the conventional (acon ) and parameterized (asup ) surface albedo models combined with brightness temperature (Tb ) and surface temperature corrected by the Barsi model (Tsbarsi ), the single-channel model (TsSC ), the radiative transfer equation model (TsRTE ), and the split-window model (TsSW ). Values with indicate p-value 0.001. Average IC W Measured ET Model Combination Tb Tsbarsi TsSC TsRTE TsSW Tb Tsbarsi TsSC TsRTE TsSW 2.69 0.38 two.72 0.40 two.79 0.42 two.76 0.39 3.12 0.49 two.90 0.39 two.95 0.43 three.05 0.44 3.00 0.42 3.18 0.47 0.42 0.39 0.38 0.39 0.35 0.32 0.29 0.28 0.30 0.35 13.07 12.45 12.23 12.48 13.23 11.36 ten.98 11.14 12.42 13.23 0.50 0.46 0.43 0.45 0.44 0.37 0.35 0.35 0.35 0.44 0.92 0.94 0.94 0.94 0.95 0.96 0.96 0.96 0.96 0.95 0.95 0.95 0.94 0.94 0.92 0.95 0.95 0.94 0.94 0.92 m-2 3.00 0.50 MAE W m-2 MAPE RMSE W m-2 d raconasup4. Discussion four.1. Surface Albedo Models Efficiency The surface albedo model (asup ) developed in this study performed properly in comparison to the conventional one particular (acon ). The RMSE based on asup was much less than 0.03 required by climate forecasting models  and within the array of 0.01.02 identified in previous research [18,56]. The biggest discrepancies shown by acon as indicated in the reported MAE and RMSE canSensors 2021, 21,17 ofbe due a variety of factors that include things like (i) the broad spectrum or broadband transmittance getting inadequate for the atmospheric correction in the composition of discrete bands; (ii) not considering the differences in atmospheric transmissivity for every single band; and (iii) the non-correspondence from the narrow and wide bands with solar radiation on the surface . The asup inside the four land varieties was inside the variety located in other research. The asup over agricultural places ranged from 0.14 to 0.18 [56,57]; from 0.15 to 0.20 more than urban regions as a result of complexity of mixtures of built-up location and vegetation in backyards and streets ; from 0.11 to 0.13 over the Cerrado forest [57,59]; and from 0.05 to 0.07 more than water bodies depending around the composition of your water [58,59]. The acon of water bodies was higher than 0.ten, which is above the values obtained within the lakes in the region . 4.2. Evaluation of Ts Retrieval Models In general, the PSB-603 Antagonist difference amongst Tb and Ts varies involving 1 and five K in the 102 spectral region, subject to the influence of atmospheric situations and surface emissivity . For mathematical convenience, the TOA thermal radiation is frequently expressed when it comes to Tb with an emissivity of 1.0 . The TOA radiance will be the result of radiation emitted by the Earth’s surface, upward radiation emitted by the atmosphere, and downward radiation emitted by the atmosphere . The TOA radiation is mainly attenuated by water vapor and, to a lesser extent, by trace gases and aerosols [63,64]. In this study, Tsbarsi was utilized as a reference to validate Tb , TsSC , TsRTE , and TsSW , due to the fact preceding studies indicated Tsbarsi based on Landsat had relatively low MAE and RMSE values low (ranging involving 0.2 and two.five K) when in comparison to the field measurements of Ts that were taken over different land surface types represented by the Surface Radiation Spending budget (SURFRAD) Network (https://gml.noaa.gov/grad/surfrad/ accessed on 10 August 2021) throughout various atmospheric profiles . In addition, the enhanced functionality of Tsbarsi is related together with the robustness with the MODTRAN IQP-0528 medchemexpress algorithm along with the inte.