2014
DOI: 10.1007/s10980-014-0118-8
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A new arc–chord ratio (ACR) rugosity index for quantifying three-dimensional landscape structural complexity

Abstract: Introduction Rugosity is an index of surface roughness that is widely used as a measure of landscape structural complexity in studies investigating spatially explicit ecological patterns and processes. This paper identifies and demonstrates significant issues with how we presently measure rugosity and, by building on recent advances, proposes a novel rugosity index that overcomes these issues. Methods The new arc-chord ratio (ACR) rugosity index is defined as the contoured area of the surface divided by the ar… Show more

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Cited by 51 publications
(46 citation statements)
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“…Despite the 12 year difference between the multibeam and the imagery expeditions, there was no evidence that a major landscape changing event had occurred, and it was determined the multibeam data still reflected the present bathymetry on Cobb Seamount in 2012. Four environmental datasets were derived from multibeam bathymetry of Cobb Seamount (20 m cell size raster): depth (in meters), slope (in degrees), and small- and large-scale metrics of roughness (complexity), specifically arc-chord ratio (ACR) rugosity at 4000 m 2 and 4 km 2 [31]. These two scales represent the smallest and largest areas that could be geoprocessed for multi-cell rugosity, given the resolution of the bathymetric data and the spatial distribution of the images.…”
Section: Methodsmentioning
confidence: 99%
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“…Despite the 12 year difference between the multibeam and the imagery expeditions, there was no evidence that a major landscape changing event had occurred, and it was determined the multibeam data still reflected the present bathymetry on Cobb Seamount in 2012. Four environmental datasets were derived from multibeam bathymetry of Cobb Seamount (20 m cell size raster): depth (in meters), slope (in degrees), and small- and large-scale metrics of roughness (complexity), specifically arc-chord ratio (ACR) rugosity at 4000 m 2 and 4 km 2 [31]. These two scales represent the smallest and largest areas that could be geoprocessed for multi-cell rugosity, given the resolution of the bathymetric data and the spatial distribution of the images.…”
Section: Methodsmentioning
confidence: 99%
“…These two scales represent the smallest and largest areas that could be geoprocessed for multi-cell rugosity, given the resolution of the bathymetric data and the spatial distribution of the images. ACR rugosity was specifically used (over other complexity metrics) because it is decoupled from slope [31]. All spatial analyses and value extractions (to point image samples) were executed in ESRIArcMap 10.2.0.3348 using the Benthic Terrain Modeler [32] and the ACR tool [31].…”
Section: Methodsmentioning
confidence: 99%
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“…The approach of using a plane-of-best-fit when calculating surface roughness estimates such as this is generally favoured over the use of the true, real-world horizontal plane. This is because using plane-of-best-fit de-couples slope and SR, ensuring that change in elevation does not influence surface roughness calculations [20,38]. This approach was completed for five different nominal sizes of virtual quadrats, 0.25 m 2 , 1 m 2 , 2.25 m 2 , 4 m 2 , and 9 m 2 , giving sample sizes (number of non-overlapping quadrat which could be fit on the surface) of 456, 114, 48, 27, and 12 respectively.…”
Section: Patch-scalementioning
confidence: 99%
“…There is usually a variety of different factors or gradients generating substratum (Sebens 1991, Gratwicke & Speight 2005Du Preez 2015). For example, substratum height, height variation and interstitial space will affect the rugosity, while diversity of substratum composition, areal extent and spatial distribution will affect the heterogeneity (Gratwicke & Speight 2005.…”
Section: Concepts and Definitionsmentioning
confidence: 99%