“…There were two amphidromic points located in Bohai Sea ( Figure 2a) : one at the offshore area of Qinhuangdao and one near the mouth of the Yellow River, which agreed well with previous publications ( Bao et al, 2001;Fang et al, 2004;Yu et al, 2003 ) , and with the new coastline, the changes of Yellow River Delta influenced its surrounding tidal wave and obstructed tidal energy here ( Pelling et al, 2013a ) , the amphidromic point near Old Yellow River Mouth has moved to southeast ( Hao et al, 2010) . Figure 2b and 2c showed the linear-fit between simulations and observed amplitude and phase lag, respectively, and compared to previous studies ( Bao et al, 2001;Song et al, 2013;Zhu and Liu, 2012) the average absolute error of amplitude in this paper is 3. 6 cm, and phase error is 7. 2°, we also used the variance VC = 1 -( R m R o ) 2 to quantify the model results, where R o is the root mean squared of observed values and R m is the root mean squared difference between model and observations (Pelling et al, 2013b). The modeled M 2 amplitudes and phases both achieved a variance captured of 99. 4% , which indicated that the errors are well controlled in the whole region, in general the established model of Bohai Sea could capture the tide correctly.…”