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題名 | 臺灣地形之複雜性測度=Complexity Measure of Terrain in Taiwan |
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作者姓名(中文) | 陳昭男; 李宗仰; | 書刊名 | 中國地理學會會刊 |
卷期 | 33 民93.01 |
頁次 | 頁49-72 |
分類號 | 351.133 |
關鍵詞 | 地形計測學; 碎形; 複雜度; 間隙性; 渾沌; 異向性; DEM; Morphometery; Fractal; Complexity; Lacunarity; Chaos; Anisotropy; |
語文 | 中文(Chinese) |
中文摘要 | 描述複雜地形現象,屬於地形計測學中相當重要的一環。研究中擬採量化的複雜特性參數來描述地形起伏的崎嶇特性。文中使用了碎形理論、LZ複雜性測度理論、間隙性測度、渾沌吸子及Kolmogorov熵等多種複雜特性指標,依計算結果來了解及解釋地形系統之複雜特性,同時建立數值高程資料的複雜性與地理、地質間的關聯性。以台灣島數位高程模型(DEM)資料之中心點(250540,2610760)為圓心,每5度一筆,順時針旋轉一周,共72筆的全域斷面,計算每一斷面之DEM資料的複雜性參數。結果顯示,地形系統並不如傳統地形所述之預期複雜,旦發現六個異向特性,每一方向均有其地形與地質意義。另外,其飽和吸子維度大致可分成三群,其解釋變數分別為2、3與4。以台灣地區之地質分佈來說,構造線、岩性以及山脈分佈線等線形之分佈為東北一西南向,解釋變數為2;而70度至130度的剖面,反映出台灣受板塊運動之應力所推擠的方向,並垂直線形方向,解釋變數為4,大致可對照相關之地質分佈,此將有助於系統模擬變數與邊界的設定。 |
英文摘要 | The description of complex topography phenomenon is the one topic of the morphometery. In this study, several quantitative methods, including the fractal theory, LZ-complexity, lacunarity, chaos attractor and Kolmogorov entropy, are used to investigate the characteristics of complex terrain system. The complexity of digital elevation model (DEM) data is estimated and the relationship between geography and geology is explored. There are 72 DEM profiles in Taiwan are selected to compute the complex parameters. The profiles are acquired in the central, (250540, 2610760), of Taiwan and rotated from north each 5度 by clockwise. The results show that the complexity of terrain system is less complex than the traditional expected. Besides, there are six anisotropy directions and every direction has its explanation from morphology and geology. Furthermore, there are three clusters from the saturated attractor dimensions and the variables to describe the system are 2, 3 and 4. For instance, the interpreting variance is 2 along the NE-SW direction, which corresponds to the main tectonic line, indicating that the topographic complexity of Taiwan island is not high. The interpreting variance is 4 to describe the profiles between 70度 and 130度. It ref1ects the driving direction of plate action force and is perpendicular to the lineation in Taiwan. They can be related well with the distribution of geological properties and useful for setting of simulated variable and boundary condition in the system. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。