Assessing seismic origin of geological features by fitting equidistant parallel lines

Peter Edmund Jupp; Ian Britton James Goudie; Richard Alessandro Batchelor; Robert Goudie

doi:10.1111/rssc.12553

Assessing seismic origin of geological features by fitting equidistant parallel lines

Peter Edmund Jupp^*, Ian Britton James Goudie, Richard Alessandro Batchelor, Robert Goudie

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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Abstract

Some planes in sedimentary rocks contain features that appear to lie near equally-spaced parallel lines. Determining whether or not they do so can provide information on possible mechanisms for their formation. The problem is recast here in terms of circular statistics, enabling closeness of candidate sets of lines to the points to be measured by a mean resultant length. This leads to a test of goodness of fit and to estimates of the direction of the lines and of the spacing between them. Two contrasting data sets are analysed.

Original language	English
Pages (from-to)	723-738
Number of pages	16
Journal	Journal of the Royal Statistical Society: Series C (Applied Statistics)
Volume	71
Issue number	3
Early online date	17 Apr 2022
DOIs	https://doi.org/10.1111/rssc.12553
Publication status	Published - 15 Jun 2022

Keywords

Directional statistics
Quantal model

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10.1111/rssc.12553Licence: CC BY

Jupp_2022_RSSSC_Assessing-seismic-origin-geological-features_CC
Copyright © 2022 The Authors. Journal of the Royal Statistical Society: Series C (Applied Statistics) published by John Wiley & Sons, Ltd on behalf of Royal Statistical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Final published version, 1.19 MBLicence: CC BY

Cite this

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title = "Assessing seismic origin of geological features by fitting equidistant parallel lines",

abstract = "Some planes in sedimentary rocks contain features that appear to lie near equally-spaced parallel lines. Determining whether or not they do so can provide information on possible mechanisms for their formation. The problem is recast here in terms of circular statistics, enabling closeness of candidate sets of lines to the points to be measured by a mean resultant length. This leads to a test of goodness of fit and to estimates of the direction of the lines and of the spacing between them. Two contrasting data sets are analysed.",

keywords = "Directional statistics, Quantal model",

author = "Jupp, {Peter Edmund} and Goudie, {Ian Britton James} and Batchelor, {Richard Alessandro} and Robert Goudie",

note = "Funding: Robert J. B. Goudie was funded by the UKRI Medical Research Council (MRC) [programme code MC_UU_00002/2] and supported by the NIHR Cambridge Biomedical Research Centre.",

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doi = "10.1111/rssc.12553",

language = "English",

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AU - Jupp, Peter Edmund

AU - Goudie, Ian Britton James

AU - Batchelor, Richard Alessandro

AU - Goudie, Robert

N1 - Funding: Robert J. B. Goudie was funded by the UKRI Medical Research Council (MRC) [programme code MC_UU_00002/2] and supported by the NIHR Cambridge Biomedical Research Centre.

PY - 2022/6/15

Y1 - 2022/6/15

N2 - Some planes in sedimentary rocks contain features that appear to lie near equally-spaced parallel lines. Determining whether or not they do so can provide information on possible mechanisms for their formation. The problem is recast here in terms of circular statistics, enabling closeness of candidate sets of lines to the points to be measured by a mean resultant length. This leads to a test of goodness of fit and to estimates of the direction of the lines and of the spacing between them. Two contrasting data sets are analysed.

AB - Some planes in sedimentary rocks contain features that appear to lie near equally-spaced parallel lines. Determining whether or not they do so can provide information on possible mechanisms for their formation. The problem is recast here in terms of circular statistics, enabling closeness of candidate sets of lines to the points to be measured by a mean resultant length. This leads to a test of goodness of fit and to estimates of the direction of the lines and of the spacing between them. Two contrasting data sets are analysed.

KW - Directional statistics

KW - Quantal model

U2 - 10.1111/rssc.12553

DO - 10.1111/rssc.12553

M3 - Article

SN - 1467-9876

VL - 71

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JO - Journal of the Royal Statistical Society: Series C (Applied Statistics)

JF - Journal of the Royal Statistical Society: Series C (Applied Statistics)

IS - 3

ER -

Assessing seismic origin of geological features by fitting equidistant parallel lines

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Keywords

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