Discussion with Dr. H. Sakuma of IGCR, the Frontier Research System for Global Change, was very helpful in clarifying our argument on the relationship between pseudomomentum and pseudoenergy. We thank Drs. Y. Matsuda, Y. Wakata, M. Takahashi, and Y.-Y. Hayashi of the University of Tokyo, Drs. Y. Kuroda, S. Maeda, and S. Takano of the Japan Meteorological Agency, and Dr. Yamamoto of Wakayama University for their constructive comments and suggestions. Dr. P. Kushner of the Princeton University and anonymous reviewers gave us critical comments, which also led to substantial improvement of our paper. Also, we thank Dr. T. Enomoto and Dr. M. Honda for providing us numerical data simulated in their latest works. This study is supported in part by the Grant-in-Aid for Scientific Research on Priority Areas (08241104) of the Japanese Ministry of Education, Science, Sports and Culture.
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