1. What is the terrestrial water balance equation?
The terrestrial water balance equation is EQUATION, where P represents basin-averaged precipitation, R denotes river flow or runoff, D signifies diverted water volume, and S represents monthly storage change. The equation is used to calculate ET-WB dataset on a monthly scale from May 2002 to December 2021, expressed in millimeters (mm/month) of equivalent water depth. The equation is applied to 168 major river basins worldwide, covering a wide range of climate conditions and human intervention. The terrestrial water balance method has been extensively applied in different river basins globally, but a comprehensive global database and systematic uncertainty analysis are still lacking. The equation helps estimate ET and understand the water balance in various basins, considering factors like precipitation, runoff, storage change, and diverted water volume.
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2. What evaluation metrics were used to compare ET-WB with global ET products?
The evaluation metrics used to compare ET-WB with global ET products include Pearson CCCC, NNEE, RRRREE, and RRRR. Pearson CCCC measures the correlation between ET-WB and auxiliary global ET products, while NNEE, RRRREE, and RRRR assess the differences in ET estimates. NNEE calculates the normalized root mean square error, RRRREE measures the relative root mean square error, and RRRR represents the percentage difference between ET-WB and auxiliary global ET products. These metrics were used to investigate the sensitivity of ET-WB performance at monthly and annual time scales over global land and selected river basins. Additionally, long-term mean and trend comparisons were performed using Sen's slope method to overcome the impacts of outliers and provide more accurate results for heteroskedastic time series.
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3. How is uncertainty in ET-WB estimated?
Uncertainty in ET-WB is estimated using different methods. The STL method is used to decompose the TWSA monthly time series into long-term, seasonal, and residual components. The residual is then used to estimate uncertainty. For other water components like P and R, the standard deviation (SD) across the ensemble is used as the uncertainty. The uncertainty in auxiliary ET products is also estimated using the SD method. The uncertainty in DS and other variables is estimated using different strategies due to the strong correlation of selected GRACE solutions. The uncertainty in ET-WB is propagated by assuming independence and normal distribution among different water fluxes. The average uncertainty over the study period is represented by the RMS. The relationships between uncertainty in ET-WB and basin area, climate condition, and human activities are also investigated to understand the influential factors on the performance of ET-WB.
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4. What is the LORA product?
The LORA product is a synthesized global gridded runoff product that merges runoff estimates from different global hydrological models (GHM) constrained by hydrological observations using an optimal weighting method during 1980-2012. It has a consistent spatial resolution of 0.5deg and is used as the benchmarking dataset for G-RUN ENSEMBLE. However, it neglects river routing, which may lead to overestimation in computed uncertainties over large basins. The LORA product is the result of eight GHMs with different physical structures and model parameterization schemes, so the representation of basins with significant anthropogenic activities should be taken with caution. All versions of GloFAS used in the study have been calibrated by more than 1,200 gauge stations worldwide, improving performance compared to uncalibrated products. Discharge-type R datasets require procedures to find the grid cell coinciding with the river mouth of the basin, and the total freshwater flowing into the ocean is estimated as the sum of the discharge of all coastal grid cells based on a mask at the corresponding resolution.
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