Fractal Analysis of Maine's Glaciated Shoreline Tests Established Coastal Classification Scheme

Tanner, Benjamin R.; Perfect, Edmund; Kelley, Joseph T.

doi:10.2112/05-0474r.1

Cited by 14 publications

(7 citation statements)

References 12 publications

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“…It has been widely used in studies measuring the complexity of various coastlines (e.g. D' Alessandro et al, 2006;Dai et al, 2004;De Pippo et al, 2004;Jiang and Plotnick, 1998;Tanner et al, 2006), but Klinkenberg (1994) has an extensive review of many other applications. The second, sinuosity, has seen wide application in the field of hydrology.…”

Section: Quantifying Linear Landscape Featuresmentioning

confidence: 99%

Urban influence on changes in linear forest edge structure

Chant

Hernando

Velázquez

et al. 2010

Landscape and Urban Planning

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Section: Quantifying Linear Landscape Featuresmentioning

confidence: 99%

Urban influence on changes in linear forest edge structure

Chant

Hernando

Velázquez

et al. 2010

Landscape and Urban Planning

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“…However, it has been shown that natural objects exhibit statistical self-similarity only for a finite range of scales [ε min ε max ] considered in the box-counting method (Beauvais & Montgomery 1997). By considering a finite range of scales for which statistical self-similarity is preserved, the dynamics due to other scales would be lost (Beauvais & Montgomery 1997;Tanner, Perfect & Kelley 2006). By considering all scales, the natural objects demonstrate that the space-filling nature is preserved even in the absence of statistical self-similarity (Beauvais & Montgomery 1997).…”

Section: Resultsmentioning

confidence: 99%

Multifractal analysis of flame dynamics during transition to thermoacoustic instability in a turbulent combustor

et al. 2020

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“…A fragment's boundaries have a fractal distribution of length segments that produce a roughness apparent at different magnifications. Several authors have successfully quantified boundary roughness for coastlines [ Mandelbrot , 1967, 1983; Klinkenberg and Goodchild , 1992; Klinkenberg , 1994; Allen et al , 1995; Andrle , 1996; Jiang and Plotnick , 1998; Xiaohua et al , 2004; Tanner et al , 2006] and for rock fragments and fracture paths [ Jebrak , 1997; Bérubé and Jebrak , 1999; Bonnet et al , 2001; Dellino and Liotino , 2002; Lorilleux et al , 2002]. The boundary roughness fractal dimension, D r, increases with greater pattern complexity [ Mandelbrot , 1983].…”

Section: Background On Quantitative Methods Of Breccia Classificationmentioning

confidence: 99%

Fractal analysis and thermal‐elastic modeling of a subvolcanic magmatic breccia: The role of post‐fragmentation partial melting and thermal fracture in clast size distributions

Roy

Johnson

Koons

et al. 2012

Geochem Geophys Geosyst

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[1] This paper examines the development of a subvolcanic magmatic breccia located along the contact of a granitic intrusion using fractal analysis and thermal-elastic modeling. The breccia grades from clastsupported, angular clasts adjacent to unfractured host rock to isolated, rounded clasts supported by the granitic matrix adjacent to the intrusion. Field observations point to an explosive breccia mechanism, and clast size distribution analysis yields fractal dimensions (D s > 3) that exceed the minimum value known to result from explosion (D s > 2.5). Field observations, clast size distribution data, clast circularity data, and boundary roughness fractal dimension data suggest that the clast sizes and shapes reflect post-brecciation modification by partial melting and thermal fracture. Numerical modeling is employed to explore the possible thermal-elastic effects on the size distribution of clasts. Instantaneous immersion is assumed for metasedimentary clasts of a fractal size distribution in a superheated granitic matrix for different matrix volume percentages. Thermal analysis is restricted to conductive heat transfer corrected for latent heat. Partial melting of metasedimentary clasts is an effective secondary modification process that was probably responsible for markedly altering the clast size distribution for clast populations adjacent to the intrusion. Diabase clasts experienced late-stage fracture due to the instantaneous thermal pulse in which angular clasts with high surface area to volume ratios were preferentially fractured, although this process does not appear to have markedly influenced the clast size distribution.

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Fractal Analysis of Maine's Glaciated Shoreline Tests Established Coastal Classification Scheme

Cited by 14 publications

References 12 publications

Urban influence on changes in linear forest edge structure

Urban influence on changes in linear forest edge structure

Multifractal analysis of flame dynamics during transition to thermoacoustic instability in a turbulent combustor

Fractal analysis and thermal‐elastic modeling of a subvolcanic magmatic breccia: The role of post‐fragmentation partial melting and thermal fracture in clast size distributions

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