EVALUATION OF ERA5 AND IMERG PRECIPITATION DATA FOR RISK ASSESSMENT OF WATER CYCLE VARIABLES OF A LARGE RIVER BASIN IN SOUTH ASIA USING SATELLITE DATA AND ARCHIMEDEAN COPULAS

S. Barma, S. B. Uttarwar, Prathamesh Barane, N. Bhat, A. Mahesha
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Abstract

Precipitation as a major water cycle variable influences the occurrences and distribution of terrestrial water storage change (TWSC), evapotranspiration (ET), and river discharge (Q) of a large river basin. However, its relationship with the other water cycle variables using probabilistic dependence structure concept has not been addressed much. Furthermore, precipitation derived from gauge record is plagued by bias due to orography and under-catch. To fill these gaps, bivariate copula and precipitation derived from reanalysis and satellite data were used. In the present study, the basin-wide averages of the precipitation products APHRODITE, ERA5, and IMERG were used as predictors, whereas the areal mean of MOD16 evapotranspiration, GRACE TWSC, and gauge discharge were used as dependent variables (predictants) for the Brahmaputra basin. The bivariate Archimedean copulas were applied to all the pairs of precipitation-TWSC, precipitation-ET and precipitation-Q based on the optimal marginal distributions obtained. Using the best copula for each pair of the variables, the conditional probability was constructed to predict the predictants for different precipitation amounts (5th, 25th, 50th, 75th, and 95th percentiles). The focus of the analysis was on two scenarios of the predictants (i.e.,≤ 5th and ≥ 95th percentiles). The non-exceedance conditional distribution of TWSC, ET, and Q (all predictants ≤ 5th percentile) decreases with precipitation increase. However, the exceedance probability of the predictants (≥ 95th percentile) increases gradually with an increase in precipitation. The results revealed that both ERA5 and IMERG precipitation data could be used to derive probabilistic measures of the water cycle variables in the absence of gauge-based precipitation.
利用卫星数据和阿基米德copula对南亚大型河流流域水循环变量风险评估的era5和imerg降水数据评价
降水作为一个主要的水循环变量,影响着大流域陆地储水变化(TWSC)、蒸散发(ET)和河流流量(Q)的发生和分布。然而,利用概率相关结构概念对其与其他水循环变量之间的关系进行了研究。此外,由于地形和欠捕获,从测量记录得到的降水受到偏差的困扰。为了填补这些空白,使用了从再分析和卫星数据中得到的二元联结和降水。本文采用降水产品APHRODITE、ERA5和IMERG的全流域平均值作为预测因子,而MOD16蒸散量的面积平均值、GRACE TWSC和计量流量作为因变量(预测因子)。基于得到的最优边际分布,将二元阿基米德公式应用于降水- twsc、降水- et和降水- q对。利用每对变量的最佳联结,构建条件概率来预测不同降水量(第5、25、50、75和95百分位)的预测因子。分析的重点是预测因子的两种情况(即≤第5百分位和≥第95百分位)。TWSC、ET和Q的非超标条件分布(预测因子均≤5百分位)随降水增加而减小。随着降水的增加,预测值的超出概率(≥95百分位)逐渐增大。结果表明,ERA5和IMERG降水数据均可用于在没有基于量具的降水的情况下推导水循环变量的概率度量。
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