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tokens: ACKNOWLEDGEMENTS This study has benefited greatly from discussions with K. Doi. We also thank the reviewer for many useful comments on this paper. The present research used the computational resources of the HPCI system provided by Cyber Sciencecenter, Tohoku University; Cybermedia Center, Osaka University, Earth Simulator, JAMSTEC through the HPCI System Research Project (Project ID:hp160079, hp170047, hp180001, hp190035). This study was supported by JSPS KAKENHI Grant Numbers JP17K05387, JP17H02869, JP17H01101, and JP17H06360. Simulations reported in this paper were also performed by 2017 Koubo Kadai on Earth Simulator (NEC SX-ACE) at JAMSTEC. This work was partly achieved through the use of supercomputer system SX-ACE at the Cybermedia Center, Osaka University. Simulations were also performed by 2018 Koubo Kadai on Earth Simulator (NEC SX-ACE) at JAMSTEC.