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Map of the Caspian Sea and surrounding countries (modified from an original map provided by the Nations Online Project at http://www.nationsonline.org/).

Map of the Caspian Sea and surrounding countries (modified from an original map provided by the Nations Online Project at http://www.nationsonline.org/).

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We examine recent Caspian Sea level change using both satellite radar altimetry and satellite gravity data. The altimetry record for 2002-2015 shows a declining level at a rate that is approximately 20 times greater than the rate of global sea level rise. Seasonal fluctuations are also much larger than in the world oceans. With a clearly defined ge...

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... Caspian Sea is the largest enclosed inland body of water on Earth, with a surface area of ~371,000 km 2 . Located within an endorheic (no outflow) basin between Europe and Asia, it is surrounded by five countries (Russia, Kazakhstan, Turkmenistan, Iran, and Azerbaijan) ( Figure 1) and has a sea level history independent of global ocean eustatic changes. Average Caspian Sea level is currently about 27.5 m below mean sea level. ...
Context 2
... ARGO steric and GLDAS TWS annual phases are about right, then the GRACE forward modeled annual component appears to be reasonably accurate. Similar annual phasor diagrams for the three mascon estimates (JPL MC + LC, CSR MC + 200 km/LC, and CSR MC + SF/LC) are shown in Figure 10 (the results from CSR MC SF/LC are also included in the phasor diagram for comparisons). ...

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... We adopted the monthly mascon solutions published by the following [44], which have been widely used in hydrology fields. Nonetheless, the imperfect leakage correction of mascon solutions may still lead to an underestimation of the regional mass change trends [45]. For comparison, we also estimated the TWS mass anomalies using the GRACE-FO spherical harmonic coefficient solutions (up to 60 degrees/order) released by CSR from October 2018 to October 2022. ...
... We adopted the monthly mascon solutions published by the following These mascon solutions, compared with traditional spherical harmonic coefficients, enhance signal resolution and also significantly mitigate signal leakage errors [44], which have been widely used in hydrology fields. Nonetheless, the imperfect leakage correction of mascon solutions may still lead to an underestimation of the regional mass change trends [45]. For comparison, we also estimated the TWS mass anomalies using the GRACE-FO spherical harmonic coefficient solutions (up to 60 degrees/order) released by CSR from October 2018 to October 2022. ...
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... Moreover, for popular GRACE products in terms of spherical harmonics (SH), an additional postprocessing step such as decorrelation and spatial smoothing 20,21 is necessary to reduce the correlated and high degree errors. However, postprocessing is accompanied by signal attenuation and distortion 3,22,23 . As alternatives to SH products, the mascon GRACE products provide grid results with improved resolutions that can be used directly without postprocessing [24][25][26][27] . ...
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... The original mass fields are contaminated by north-south stripe noise, which is linked to the correlated errors in the SHCs (i.e., spurious correlations between specific ΔC nm /ΔS nm ). To this end, researchers used the PnMl method Chen et al., 2017). The P4M6 method treats all ΔC nm /ΔS nm with the same m as a series. ...
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... In the GRACE data, we identify large negative trends i.e. increasing water deficit with −15 mm/a or more, e.g., in the Parana-Sao Francisco-Atlantico river basins in South America, the Caspian Sea region, in parts of Northern India and in glacier regions such as Alaska, Patagonia, and Northern Canada. This is not surprising, as in previous studies (e.g., Gardner et al. 2011;Luthcke et al. 2013;Getirana 2016;Panda and Wahr 2016;Chen et al. 2017;Rodell et al. 2018); these regions were identified to have been affected by severe droughts, decreasing surface water levels, groundwater depletion and melting of glaciers. In contrast, large positive trends (i.e., wetting) can be found in Eastern Canada, West Africa, the Zambesi basin and African Great Lake region, and in the La Plata basin in South America, which were all associated with regions that are either experiencing increasing precipitation and/or transform from dry to wet conditions, e.g., recovery after a drought during the observation period takes place (e.g., Rodell et al. 2018). ...
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... There is an irrational correlation between SHCs of the specific degree (odd or even) for an order m [62]. Some studies used the PnMl (e.g., P4M6) method to remove the noise for the mass estimation of ice caps [26], mountain glaciers [63], and TWS [64]. For instance, in the case of the P4M6 method, this algorithm reserves the SHCs of low degrees (0~6). ...
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... Since the launch of the Gravity Recovery and Climate Experiment (GRACE) satellite in 2002, the time-variable gravity field models recovered from GRACE's observations have been widely used in the research of various fields, such as the global water cycle and land water storage change, 1-4 the global mean sea level (GMSL) change, 5,6 and the detection of coseismic signals. 7,8 With global warming, the mass change caused by polar ice sheet melting can be monitored by the GRACE satellite. ...
... The high frequency signal is unlikely related to changes in the Caspian sea level as supported by satellite altimetry measurements (J. Chen et al., 2017). Other examples of MSSA decomposition at various locations are provided in Figure S12. ...
... Validation of solutions against independent observations is thus essential to assess solution quality (J. Chen et al., 2017). ...
... portunities to validate GRACE/GRACE-FO solutions. In particular, due to its large spatial extent, significant signal amplitude and minimal groundwater variations in the region, the Caspian sea has become an ideal candidate to seek validation of mass change measurements with sea level variations measured by satellite altimetry (Swenson & Wahr, 2007;J. Chen et al., 2017). Nonetheless, the comparison of GRACE/GRACE-FO SH estimates at the regional scale with independent datasets suffers another challenge. ...
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... The mascon products are available from three centers: JPL, CSR, and GSFC, at a grid sampling of ≤1 • . The RL06 CSR mascon solution is based on the regularization method and derived entirely from the GRACE information without any input from external models, and, unlike the JPL solution, is independent from TWS and other geophysical models (Chen et al., 2017;Save et al., 2016). The solutions are computed on an equal area geodesic grid composed of hexagonal tiles, approximately 120 km wide or 1 • × 1 • at the equator (Chen et al., 2017). ...
... The RL06 CSR mascon solution is based on the regularization method and derived entirely from the GRACE information without any input from external models, and, unlike the JPL solution, is independent from TWS and other geophysical models (Chen et al., 2017;Save et al., 2016). The solutions are computed on an equal area geodesic grid composed of hexagonal tiles, approximately 120 km wide or 1 • × 1 • at the equator (Chen et al., 2017). The spatial resolution of CSR RL06M v01 (hereinafter abbreviated as CSR v01) for the equivalent water height (EWH) is 0.25 • × 0.25 • , whereas its temporal resolution is monthly from January 2003 to December 2016. ...
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... Then, the selected scale factor is multiplied with the filtered GRACE TWSA to produce the rescaled GRACE TWSA. The accuracy of the restored GRACE signal depends on the accuracy of the scale factor (Chen et al. 2017). Large-scale hydrologic models typically simulate soil moisture and snow water. ...
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The Gravity Recovery And Climate Experiments (GRACE) satellite mission has been instrumental in estimating large-scale groundwater storage changes across the globe. GRACE observations include significant errors, so pre-processing is normally required before the data are used. In particular, the terrestrial water storage anomalies (TWSA) are usually filtered to reduce the effects of measurement errors and then rescaled to reduce the unintended impacts of the filtering. The scaling is typically selected to maximize the Nash-Sutcliffe Efficiency (NSE) between the rescaled filtered TWSA and the original TWSA from large-scale hydrologic models that represent an incomplete water budget. The objectives of this study are as follows (1) to evaluate the use of NSE in the current GRACE rescaling methodology, (2) develop an improved methodology that incorporates a complete regional water budget, and (3) examine the impacts of the rescaling methodology on regional assessments of groundwater depletion. To evaluate the use of NSE as a performance metric, we compare it to an analytical solution that restores the relative variability between the rescaled filtered and original GRACE TWSA series. The relative variability approach produces more reliable estimates when comparing to TWSA estimates from global positioning systems (GPS) for the Sacramento and San Joaquin River basins in California. Rescaling the complete regional water budget results in a larger scale factor than the scale factor from the large-scale hydrologic model outputs, and the new TWSA results are more consistent with those from GPS. The large scale factor also suggests that regional groundwater depletion is more severe than previously estimated.
... From south to north, from the humid subtropical climate in the southern Himalayas to the cold semiarid climate in the southern TP, the spatial difference of climate change leads to the uneven distribution of glacier mass in the TP [14], [15]. In addition, glacier melting or accumulation may lead to abnormal changes in river flow, such as increased water volume, nonseasonal floods, and drought, and may even make a significant contribution to global sea-level rise [16], [17], [18]. However, only a few glaciers have been continuously monitored for more than a decade due to the steep topography and geographical location. ...
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Glacier mass changes in high mountainous areas are in an unbalanced status due to global climate warming. In this study, we use the Gravity Recovery and Climate Experiment as well as its Follow-on mission (GRACE/GRACE-FO) data to constrain the spatiotemporal variations of glacier mass in the high mountain of Tibetan Plateau (TP) during 2002 and 2020. The total glacier mass balance shows a descending trend over the TP and its surroundings with an overall melting rate of ~21 Gt/yr in the past two-decades. The significant glacier mass loss of spatial pattern is mainly concentrated in the periphery of the TP, such as the Himalayas, Hindu Kush and Tianshan, while the Kunlun Mountains demonstrates an increasing trend of glacier mass balance. The annual variation of glaciers in 22 sub-regions shows significant spatial differences in the amplitudes and phases, which is the direct feedback of regional climate change. In addition, based on the wavelet spectrum analysis, we find that the abnormal glacier mass changes correlate well with the interannual oscillations of precipitation and temperature. This corresponds to the extreme climate events, such as 2010-2012 La Niña event and 2015-2016 El Niño event. All these results validate the climate process in response to the interannual variation of glaciers on the TP, thus is of great significance to the study of systematic balance of regional water cycle.