Computer Graphics Procedural Modeling of Soil Structure

Kim, Han‐Soo; Dorantes, Minerva J.; Schulze, Darrell G.; Beneš, Bedřich

doi:10.1007/978-3-319-28295-4_9

Cited by 1 publication

(1 citation statement)

References 8 publications

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“…The popular use of fractal dimension for landscape mapping has been noted across the world ( Chen et al., 2016 ; Feng and Liu, 2015 ; He et al., 2016 ; Juliani et al., 2016 ; Plexida et al., 2014 ). It has been used for image segmentation ( Sarkar and Chaudhuri, 1994 ; Xi and Zhao, 2011 ), image data compression ( Barnsley and Hurd, 1993 ; Fisher, 1994 , 2012 ; Saupe, 1995 ; Walach and Karnin, 1986 ), computer graphics ( Hughes et al., 2015 ; Kim et al., 2016 ; Peng et al., 2015 ; Shen et al., 2016 ), sedimentology ( Dufresne et al., 2016 ; García-Hidalgo et al., 2016 ; Laurita et al., 2016 ; Liu et al., 2016 ) and particle morphology ( Gonzalez-Jordan et al., 2016 ; Loh et al., 2012 ; Sarkar and Chaudhuri, 1994 ; Wu et al., 2016 ; Yang et al., 2016a , b ; Zimmerman et al., 2014 ). It has also been applied to characterize urban growth ( Chen, 2012 , 2016 ; Reis et al., 2014 ) and river networks ( Cámara et al., 2016 ; Donadio et al., 2013 ; Kim and Jung, 2015 ; Liang et al., 2016 ; Mandelbrot, 1983 ; Vieux, 2016 ; Yang et al., 2016a , b ).…”

Section: Introductionmentioning

confidence: 99%

Erosion potential mapping using analytical hierarchy process (AHP) and fractal dimension

Kabo-bah

Tang

Yang

et al. 2021

Heliyon

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Assessing landform vulnerability to soil erosion is crucial for improved sustainable land use planning and management. In the Loess Plateau of the Northern Shaanxi Province of China, soil erosion has been reported as a major threat to sustainable land management and impacts on driving the socio-economic benefits that can be accrued from the landforms. Several studies especially on Erosion Potential Mapping (EPM) in the region have been conducted but the role of the fractal dimension (FD) of the terrain features has been limited. In this study, the paper assessed the role of fractal terrain features on the overall EPM. The Analytical Hierarchical Process (AHP) was adopted using 6 criteria, FD of the terrain, Land Use Land Cover, Slope, Elevation, Geomorphology and Flow Accumulation. These were developed in a Geographic Information System (GIS) framework. Eight Scales (8) were evaluated in order to select the best Scale with the lowest Consistency Ratio (CR) and the Minimum Relative Error (MRE). The results from this study shows that fractal features of terrain when integrated with the rest of the criteria produced a reliable EPM for the study area. The absence of the FD also gives unrealistic results for the EPM. The EPM with FD distribution recorded 29.4% for low erosion potential whereas EPM without FD recorded 46.7%. A larger portion of the Shaanxi province (70%) is found to be at a higher risk of erosion. Therefore, it is hoped that the findings from this research would further boost the integration of fractals into EPM in China and similar regions across the World. The study further recommends that sustainable soil management measures are put in place to reduce the erosion risk in the province to protect the natural ecological habitat.

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