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Ishimoto-Iida formula

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Journal Article
Published: 01 October 1974
Bulletin of the Seismological Society of America (1974) 64 (5): 1589–1590.
...A. A. Islami 11 2 1974 Copyright © 1974, by the Seismological Society of America References Komura S. (1964) . Some stochastic results of the maximum amplitude index in the Ishimoto-Iida's statistical formula Zisin , J. Seism. Soc. Japan , Ser. 2 , 7 , 194...
Journal Article
Published: 01 December 2002
Bulletin of the Seismological Society of America (2002) 92 (8): 3318–3320.
... phenomena. Its complexity can be described by a fractal behavior in both space and time. For aftershocks, the quantity of small and large events are related by the Ishimoto-Iida/Gutenberg-Richter law ( Ishimoto and Iida, 1939 ; Gutenberg and Richter, 1944 ). The temporal distribution of aftershocks often...
Journal Article
Published: 01 February 2013
Bulletin of the Seismological Society of America (2013) 103 (1): 606–610.
...). Ishimoto M. Iida K. ( 1939 ). Observations sur les séismes enregistrés par le micro‐séismographe construit dernièrement (1) , Bull. Earthq. Res. Inst. Univ. Tokyo 17 , 443 – 478 (in French). Japan Meteorological Agency ( 2009 ). The annual seismological bulletin of Japan for 2009...
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Journal Article
Published: 24 December 2013
Bulletin of the Seismological Society of America (2014) 104 (1): 497–502.
...Mamoru Kato Abstract Frequency distribution of the maximum amplitude of seismograms at a station exhibits a power‐law relation, which is the IshimotoIida law (II law). We investigate whether the II law is applicable to modern strong‐motion seismograms. Distribution of maximum amplitudes records...
FIGURES
Journal Article
Published: 01 October 1971
Bulletin of the Seismological Society of America (1971) 61 (5): 1345–1350.
.... The slope is the same for Tonga-Fiji for all depth ranges. In this paper, the frequency of occurrence of earthquakes in relation to their size is investigated for different individual tectonic units. The magnitude versus frequency relation was first investigated by Ishimoto and Iida (1939) and later...
Journal Article
Published: 01 March 1999
Seismological Research Letters (1999) 70 (2): 147–148.
... that can be traced back to Ishimoto and Iida's empirical power law formula in 1939 describing the frequency of maximum amplitudes of observed seismic waves. The G-R relationship is unambiguously defined by a simple formula, but some ambiguities about the G-R relation exist as well. For example, possible...
Journal Article
Published: 01 April 1984
Bulletin of the Seismological Society of America (1984) 74 (2): 605–620.
... shows the cumulative number versus the maximum amplitude measured on the seismograms at TNR for the Shizuoka-Seibu seismic sequence. Closed and SEISMICITY AND WAVEFORMS OF MICROEARTHQUAKES 609 open circles represent the foreshocks and aftershocks. The m value of the Ishimoto- Iida's formula, n(A) = KA...
Journal Article
Published: 01 October 1990
Bulletin of the Seismological Society of America (1990) 80 (5): 1374–1381.
... Andreas fault: history of concepts , Geol. Soc. Am. Bull. 92 , 112 - 131 . Ishimoto M. Iida K. (1939) . Observations sur les seism enregistre par le microseismograph construite...
Journal Article
Published: 01 February 1966
Bulletin of the Seismological Society of America (1966) 56 (1): 1–12.
..., Ishimoto and Iida (1939) proposed a formula which can be written in the form N(a) da = ka da (6) where N is the number of earthquakes and a is the maximum amplitude of the ground motion in the epicentral area. The coefficients k and m are to be determined. For a, it is sufficient to consider the maximum...
Journal Article
Published: 01 April 1978
Bulletin of the Seismological Society of America (1978) 68 (2): 333–341.
...) . The spatio-temporal variation of seismicity before the 1971 San Fernando earthquake, California , Geophys. Res. Letters 4 , 345 - 346 . Ishimoto M. Iida K. (1938) . Observations sur les seismes enregistres par le microsismographe construit dernierement , Bull. Earthquake Res...
Journal Article
Published: 01 December 1979
Bulletin of the Seismological Society of America (1979) 69 (6): 1797–1818.
... , 1941 - 1979 . Ishimoto M. Iida K. (1939) . Observations sur les séismes enregistrés per le microsismographe construit dernièrement (I) , Bull. Earthquake Res. Inst., Tokyo Univ. 17 , 443 - 478 . Jeffreys H. Bullen K. E. (1967) . Seismological tables...
Journal Article
Published: 01 April 1962
Bulletin of the Seismological Society of America (1962) 52 (2): 279–297.
... , Chap. 11 (in Japanese) , Kokuseido , Tokyo . Ishimoto M. Iida K. 1939 . Observations sur les Seisms Enregistre par le Microseismograph Constrait Dernierment (1) , (in Japanese...
Journal Article
Published: 01 December 1964
Bulletin of the Seismological Society of America (1964) 54 (6A): 1941–1979.
.... Geophys. Un. , 44 : 106 . Inouye W. 1937 . Statistical Investigation of Earthquake Frequencies , Bull. Earthq. Res. Inst. , 15 : 142 - 169 . Ishimoto M...
Journal Article
Published: 01 October 2008
Bulletin of the Seismological Society of America (2008) 98 (5): 2133–2148.
... Californian declustering algorithm, (2) Uhrhammer’s Northern Californian declustering algorithm, and (3) Utsu–Seki’s formula for the growth of aftershock area with mainshock magnitude. Each algorithm was stretched beyond its limits in the sense that we applied it outside the magnitude range...
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Journal Article
Published: 01 November 2013
Seismological Research Letters (2013) 84 (6): 1124–1129.
... basement in the upper Mississipi region—A preliminary report , U.S. Geol. Surv. Prof. Pap. 1236 , 39 – 53 . Ishimoto M. Iida K. ( 1939 ). Observations of earthquakes registered with the microseismograph constructed recently , Bull. Earthq. Res. Inst. 17 , 443 – 478 . Johnston...
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Journal Article
Published: 03 May 2017
Seismological Research Letters (2017) 88 (4): 1032–1039.
... the frequency of occurrence for the rare and larger events. The power‐law distribution of earthquakes of a given magnitude is commonly referred to as the Gutenberg–Richter law ( Ishimoto and Iida, 1939 ; Gutenberg and Richter, 1944 ), such that Log 10 N = a − b M , in which N...
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Journal Article
Published: 01 April 2006
Bulletin of the Seismological Society of America (2006) 96 (2): 599–608.
..., California , Earth Planet. Sci. Lett. 157 , 249 – 254 . Imoto , M. , N. Hurukawa , and Y. Ogata ( 1990 ). Three-dimensional spatial variations of b-value in the Kanto area, Japan , Zishin 43 , 321 – 326 . Ishimoto , M. , and K. Iida ( 1939 ). Observations...
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Journal Article
Published: 01 April 2015
Bulletin of the Seismological Society of America (2015) 105 (2A): 808–815.
... , Tectonophysics 193 , 311 – 325 . Ishimoto M. Iida K. ( 1939 ). Observations sur les seismes enregistres par le microsismographe construit dernierement , Bull. Earthq. Res. Inst. 17 , 443 – 478 (in French). Jaume S. C. Sykes L. ( 1999 ). Evolving towards a critical point...
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Journal Article
Published: 01 January 2007
Seismological Research Letters (2007) 78 (1): 134–140.
... is the cumulative number of earthquakes of magnitude M or greater, a is the earthquake productivity of a volume, and b is the relative size distribution ( Gutenberg and Richter 1944 ; Ishimoto and Iida 1939 ). The slope of this power law, the b -value, is a critical parameter in seismology that describes...
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Journal Article
Published: 15 June 2021
Bulletin of the Seismological Society of America (2021)
... the probability distribution of peak amplitudes, which is known as the IshimotoIida relationship ( Ishimoto and Iida, 1939 ). Using the extreme value theory, I then verify that the interval maximum amplitude (IMA; maximum amplitude of a continuous seismogram obtained within an assigned time interval) follows...
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