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In case of the strong earthquake offshore Japan, tsunami wave approaches the nearest coast in approximately 20 minutes. So, time required for evaluation of tsunami danger is the key parameter for any warning system. The authors propose to determine the parameters of initial sea surface displacement at tsunami source (initial data to simulate numerically wave propagation) by a part of the measured tsunami wave time series until the first maximum. This is a clear and easy to apply stop criterium. Determination of th...