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Fractal Analysis of Karst Landscapes
Mathematical Geosciences ( IF 2.6 ) Pub Date : 2019-04-22 , DOI: 10.1007/s11004-019-09803-x
Eulogio Pardo-Igúzquiza , Peter A. Dowd

Fractal analysis has, for some time, been used to evaluate the roughness of both natural and engineered surfaces. Since the introduction of fractal geometry, evidence of the universality of fractal forms in nature has increased, and many applications have been found for fractal analysis. The purpose of this work is to study the relationships between karst geological features and landscape roughness in order to extract information on karst landscape evolution and the interaction between lithological, geomorphological and tectonic processes and karst terrain complexity. As a means of achieving this, the fractal analysis of a high-relief karst system using a high-resolution digital elevation model is presented. The local fractal dimension of the topography is calculated within a moving window from the variogram of terrain profiles. It has been found that the fractal dimension is not related to slope, and that a fractal dimension of 2.3, suggested as an upper limit on surface roughness based on arguments of surface fragility, is also a practical limit for fractal dimensions of karst terrains. The methodology is applied to the high-relief Mediterranean karst of the Sierra de las Nieves in Southern Spain where two different areas of karst evolution and development have been identified.

中文翻译:

喀斯特景观的分形分析

分形分析已用于评估自然和工程表面的粗糙度。自从引入分形几何学以来,自然界中分形形式的普遍性的证据有所增加,并且已经发现了分形分析的许多应用。这项工作的目的是研究岩溶地质特征与景观粗糙度之间的关系,以便提取有关岩溶景观演化以及岩性,地貌和构造过程与岩溶地形复杂性之间相互作用的信息。作为实现此目的的一种方法,提出了使用高分辨率数字高程模型对高浮雕喀斯特系统进行分形分析。地形的局部分形维数是根据地形剖面的变异图在移动窗口内计算的。已经发现,分形维数与坡度无关,并且基于表面脆弱性的论点建议的分形维数2.3作为表面粗糙度的上限,也是对喀斯特地形的分形维数的实际限制。该方法适用于西班牙南部的塞拉利昂德尼维斯山脉的高浮雕地中海岩溶,在那里已确定了两个不同的岩溶演化和发展区域。
更新日期:2019-04-22
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