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Benford's law

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Journal Article
Journal: Interpretation
Published: 17 July 2018
Interpretation (2018) 6 (3): T689–T697.
...Isadora A. S. de Macedo; Jose Jadsom S. de Figueiredo Abstract Benford’s law (BL) is a mathematical theory of leading digits. This law predicts that the distribution of first digits of real-world observations is not uniform and follows a trend in which measurements with a lower first digit (1, 2...
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Journal Article
Published: 26 November 2014
Seismological Research Letters (2015) 86 (1): 192–201.
... in the histogram of seismic waveform. Therefore, it now seems well established that BL is a common feature across a wide set of physical sciences, among which are the Earth sciences, even if the explanation of the law is unclear. Benford suggested it must be a broad law related to the general logarithmic...
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Journal Article
Journal: Geology
Published: 01 April 2012
Geology (2012) 40 (4): 327–330.
...A. Geyer; J. Martí Abstract Benford's law predicts that the distribution of first digits of real-world observations is not uniform, but instead the lower digits (1, 2, and 3) occur more frequently than the higher ones (… , 8, 9). It has been shown that the use of Benford's law may help...
FIGURES
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Identification of teleseismic and local events using <span class="search-highlight">Benford’s</span> <span class="search-highlight">law</span> (BL). (L...
Published: 26 November 2014
Figure 1. Identification of teleseismic and local events using Benford’s law (BL). (Left) The vertical seismic components are overlaid by the Benford’s law estimator (BL e ) values. Solid‐ and dashed‐line boxes, respectively, show examples of time windows with and without positive detections
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First-digit frequencies according to <span class="search-highlight">Benford&#x27;s</span> <span class="search-highlight">law</span> prediction (Equation  1 ...
Published: 01 April 2012
Figure 1. First-digit frequencies according to Benford's law prediction (Equation 1 ) compared to (A) the data set of areas in square kilometers for the 346 collapse calderas in the Collapse Caldera Database (CCDB) ( http://www.gvb-csic.es/CCDB.htm ) with the area recorded, and (B) the data set
Image
First-digit frequencies according to <span class="search-highlight">Benford&#x27;s</span> <span class="search-highlight">law</span> prediction (Equation  1 ...
Published: 01 April 2012
Figure 2. First-digit frequencies according to Benford's law prediction (Equation 1 ) compared to the data set of duration of volcanic eruptions in days, which occurred during the period 1900–2009, extracted from the Smithsonian Institution's Global Volcanism Program volcanic eruptions catalogue
Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 01 April 2017
Lithosphere (2017) 9 (2): 223–234.
..., 2004 ; Giorgis et al., 2005 ; Davis and Giorgis, 2014 ); (2) it has a primary bend in its orientations ( Braudy et al., 2016 ; Schmidt et al., 2016 ), which should correspond to different kinematics ( Benford et al., 2010 ); and (3) it is locally well exposed. In this contribution, we quantitatively...
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Journal Article
Journal: Geology
Published: 01 July 2016
Geology (2016) 44 (7): 563–566.
... frequency of earthquakes and decreasing sedimentation rate. This increase in stability is nonlinear (power law with b < 0.5), accelerating with decreasing interseismic sediment accumulation. The correlation is interpreted as evidence for sediment densification and associated shear strength gain induced...
Journal Article
Published: 06 December 2016
Bulletin of the Seismological Society of America (2017) 107 (1): 229–239.
... the northern Caribbean. Because of the accumulated understanding of tectonics, seismicity, and recent Global Positioning System measurements of relative displacements ( DeMetz et al. , 2000 ; DeMetz and Wiggins‐Grandison, 2007 ; Benford et al. , 2012 ), there is, at present, a common understanding...
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Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 01 April 2017
Lithosphere (2017) 9 (2): 157–183.
... in orientation, interpreted as having existed during shear zone deformation. This change in orientation is consistent with fabrics to the north being oriented ∼000° ( Manduca et al., 1993 ; Giorgis et al., 2008 ) and fabrics to the south being oriented ∼020° ( Benford et al., 2010 ). We also provide the first...
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Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 01 December 2010
Lithosphere (2010) 2 (6): 418–422.
...-rich host rocks (based on a power-law exponent of 3.0 for this dislocation creep process). Detailed mapping also indicates that inclusion of up to 15% orthopyroxene in the olivine-rich host rocks does not affect their viscosity, constraining the rheological behavior of two-phase, mantle material...
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Journal Article
Journal: Geology
Published: 01 October 2015
Geology (2015) 43 (10): 891–894.
... the experimentally derived flow law, , where is strain rate, A is a material constant, σ is differential stress, n is the stress exponent, d is the recrystallized grain size, m is the grain-size exponent, is water fugacity, Q is activation energy, P is pressure, V is activation volume, R...
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Journal Article
Journal: Geology
Published: 27 March 2020
Geology (2020) 48 (6): 569–573.
... , v. 88 , p. 387 – 398 , https://doi.org/10.1086/628523 . Schmid , S.M. , 1982 , Microfabric studies as indicators of deformation mechanisms and flow laws operative in mountain building , in Hsü , K.J. , ed., Mountain Building Processes: London , Academic Press , p. 95 – 110...
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Journal Article
Published: 16 December 2022
Bulletin of the Seismological Society of America (2023) 113 (1): 99–114.
... of the PRVI block. PRVI is one of at least four tectonic blocks within the Northern Caribbean Plate Boundary Zone (NCPBZ; Mann and Burke, 1984 ; Masson and Scanlon, 1991 ; Jansma et al. , 2000 ; Benford et al. , 2012 ) that accommodates strain due to the highly oblique contraction between the North...
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Journal Article
Published: 13 December 2022
Bulletin of the Seismological Society of America (2023) 113 (1): 115–130.
... and the Septentrional–Oriente fault zone (SOFZ) in the north (Fig.  1 ). The SOFZ is mainly dominated by strike‐slip motion, whereas transpressional deformation with significant plate boundary‐perpendicular shortening is observed around the EPGFZ in southern Haiti ( Calais et al. , 2010 ; Benford et al. , 2012...
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Journal Article
Journal: Geosphere
Published: 01 November 2023
Geosphere (2023) 19 (6): 1539–1564.
... developed, and contains an 020-oriented foliation ( Benford et al., 2010 ). This fabric orientation is consistent with mapping in West Mountain, located between McCall and the Owyhee Mountains ( Braudy et al., 2017 ). Along-strike variations in deformation and geochemical characteristics are attributed...
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Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 01 April 2017
Lithosphere (2017) 9 (2): 184–204.
...., 2007 ). All of the quartz microstructural data (CPO, intragranular misorientation axes, CVA analyses) are consistent with dominantly simple shear deformation ( Lister and Hobbs, 1980 ; Law et al., 1984 ; Law, 2010 ), and when rotated into geographical space indicate reverse, top-to-the-southwest...
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Journal Article
Journal: Geosphere
Published: 20 July 2023
Geosphere (2023) 19 (4): 1128–1156.
... by conventional and multiple-aperture InSAR : Earth, Planets, and Space , v. 69 , p. 7 , https://doi.org/10.1186/s40623-016-0594-y Koehler , R.D. , Mann , P. , Prentice , C.S. , Brown , L. , Benford , B. , and Wiggins-Grandison , M. , 2013 , Enriquillo-Plantain Garden fault...
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