Table 3. RMSe (cm) and Root-Sum-Square (cm) Between the Interpolated Tidal Signal From Various Models and Tide Gauges for the Four Major Tidal Constituents for the Four In Situ Data Setsa Wave Resolution and RMSe (cm) DTU10 (0.125degree) FES2004 (0.125degree) EOT10a (0.125degree) TPXO7.2 (0.25degree) GOT4.7 (0.5degree) HAMTIDE11a (0.125degree) ST-102 (102)b M2 1.23 1.33 1.30 1.29 1.29 1.31 S2 0.86 0.89 0.87 0.89 0.92 0.90 K1 1.08 1.09 1.05 1.20 1.12 1.18 O1 0.92 0.93 0.91 0.94 0.97 1.02 RSS 2.07 2.15 2.09 2.19 2.17 2.30 World Ocean Circulation Experiment (199) M2 2.89 2.90 2.80 4.20 5.89 6.09 S2 1.72 1.71 1.61 2.23 2.41 3.09 K1 1.88 2.05 1.90 2.23 2.05 1.53 O1 1.76 1.73 1.69 2.01 1.81 1.75 RSS 4.24 4.30 4.11 5.62 6.93 7.16 Northwest European Shelf Region (195) M2 12.58 14.63 14.18 15.13 16.40 23.03 S2 8.24 9.15 8.65 6.80 7.98 10.09 K1 1.46 1.65 1.59 1.56 1.51 1.78 O1 1.10 1.21 1.36 1.21 1.30 1.66 RSS 15.15 17.38 16.74 16.70 18.35 25.27 East Asian Marginal Seas (207) M2 14.41 22.21 17.80 25.35 13.65 16.05 S2 8.08 10.44 8.68 11.29 8.17 10.00 K1 3.53 4.84 4.05 7.36 4.16 5.37 O1 3.21 4.15 3.57 6.30 3.47 4.44 RSS 17.20 25.36 20.53 29.39 16.80 20.16 aNumbers marked in bold indicate the smallest RMSe and root-sum-square (RSS) among the various models. bData set and number of data.