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. 2020 Feb 12;10:2412. doi: 10.1038/s41598-020-59239-1

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© The Author(s) 2020

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Comparison of true and forecasted maximum coastal tsunami heights obtained after 60-min simulation. Formulation of the statistical measures of $K$ , $κ$ , and accuracy are presented in Supplementary #1. Note that for a concise presentation, K and κ values are rounded to two decimal places, but the accuracy is calculated based on the original values without rounding. (a) Without assimilation. (b) Assimilation result using 65 CAs associated with Fig. 2a. (c) Assimilation result using 7 HAs associated with Fig. 2b.