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Comment by jychang

2 years ago

Changes in terrestrial water (urn:x-wiley:00948276:media:grl65897:grl65897-math-0001) (e.g., Figure 2a) and oceanic (urn:x-wiley:00948276:media:grl65897:grl65897-math-0002) (Figure 2b) mass loads were converted to spherical harmonic (SH) coefficients of the geoid: urn:x-wiley:00948276:media:grl65897:grl65897-math-0003 (1) where urn:x-wiley:00948276:media:grl65897:grl65897-math-0004 is the Earth radius times water density, urn:x-wiley:00948276:media:grl65897:grl65897-math-0005 are latitude and longitude, urn:x-wiley:00948276:media:grl65897:grl65897-math-0006 are normalized associated Legendre polynomials and urn:x-wiley:00948276:media:grl65897:grl65897-math-0007 are load Love numbers. Using the combined mass fields, urn:x-wiley:00948276:media:grl65897:grl65897-math-0008 PM excitations (urn:x-wiley:00948276:media:grl65897:grl65897-math-0009, urn:x-wiley:00948276:media:grl65897:grl65897-math-0010) were computed from the degree 2 (urn:x-wiley:00948276:media:grl65897:grl65897-math-0011) order 1 (urn:x-wiley:00948276:media:grl65897:grl65897-math-0012) SH coefficients via (Chao, 1985; Seo et al., 2021): urn:x-wiley:00948276:media:grl65897:grl65897-math-0013 (2) urn:x-wiley:00948276:media:grl65897:grl65897-math-0014 in which M is the Earth mass, and C and A are Earth principal moments of inertia. urn:x-wiley:00948276:media:grl65897:grl65897-math-0015 and urn:x-wiley:00948276:media:grl65897:grl65897-math-0016 from Equation 2 include effects of rotational feedback. We then estimated monthly (urn:x-wiley:00948276:media:grl65897:grl65897-math-0017, urn:x-wiley:00948276:media:grl65897:grl65897-math-0018) changes from groundwater (storage on land and associated sea level change) plus the other sources (AIS, GrIS, glaciers, dams and soil moisture). urn:x-wiley:00948276:media:grl65897:grl65897-math-0019 and urn:x-wiley:00948276:media:grl65897:grl65897-math-0020 are mostly determined by terrestrial storage changes with minor contributions from corresponding sea level rise due to relatively uniform distribution of ocean mass as shown in Figure 2b.