Ishimoto-Iida's Relation


Ishimoto-Iida's Relation :

An empirical relation expressing the frequency of occurrence of the maximum amplitudes of earthquakes recorded at a seismograph station obtained by Ishimoto and Iida (1939). Although the concept of magnitude was not known to them, the power law found for the amplitude distribution is reducible to the power law for earthquake energy implied in Gutenberg Richter's frequency-magnitude relation. They recognized the significance of its departure from the Boltzmann exponential law for statistical energy distribution. See Utsu (2002b), and Eqs. (7.1) - (7.2) in Ben-Zion (2003)

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