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Erratum for Atkinson, BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA 94 (3) 1079-1095.
Bulletin of the Seismological Society of America; December 2004; v. 94; no. 6; p. 2419-2423; DOI: 10.1785/0120040161
© 2004 Seismological Society of America
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Erratum

Empirical Attenuation of Ground-Motion Spectral Amplitudes in Southeastern Canada and the Northeastern United States

Gail M. Atkinson1

1 Department of Earth Sciences
Carleton University
Ottawa, ON, K1S 5B6 Canada

An error was made in the calculation of the magnitude m1 in the paper "Empirical Attenuation of Ground Motion Spectral Amplitudes in Southeastern Canada and the Northeastern United States" (Atkinson, 2004). The equation for magnitude m1 begins with m1 = 4.4665 + ... (Atkinson, 2004, equation 1); I inadvertently coded m1 = 4.665 + ... in the subroutine that calculated magnitude. As a result, the printed m1 values in the article are all too high by 0.20 unit. The main regression results dealing with the rates of attenuation are unaffected, as all events are simply shifted by 0.2 magnitude units. However, the regression coefficients given in Table 2 (the Fourier amplitudes as a function of m1 and distance) will not produce the correct spectral amplitudes for the stated m1 value; the results for a given m1 would apply to the actual value (m1–0.2). The regression was therefore repeated with the corrected m1 values to produce a corrected Table 2. Table 4, listing the source parameters, is also affected because all m1 values must be reduced by 0.2 unit. This results in subtle (although not significant) differences in the values of other source parameters, because m1 was used as an estimate of M in determining the frequency range that defines the high- and low-frequency ends of the spectrum. Finally, the relation between the magnitudes m1 and moment magnitude (M) (for m1 2.5 to 5) should be revised to:


{04161-eq001}

(1)
whereas moment magnitude can be predicted from m1 (with standard deviation 0.1) by:


{04161-eq002}

(2)


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Table 2 (revised) Coefficients of Regression for Vertical-Component Fourier Amplitudes (cm/sec) (equation 5)
 

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Table 4 (revised) Source Parameters for Study Events
 

The corrected Tables 2 and 4 from the article, along with a revised version of Figure 16, are given here.



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Figure 16 (revised). Relationship between magnitude m1 and moment magnitude. ENA, eastern North America.

 

Manuscript received August 16, 2004


    References
 Top
 References
 

Atkinson, G. (2004). Empirical attenuation of ground-motion spectral amplitudes in southeastern Canada and the northeastern United States, Bull. Seism. Soc. Am.94 ,1079 –1095.[Abstract/Free Full Text]




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