Self-similarity dimensions of the Taiwan Island landscape
This paper adopts a three-dimensional box-counting method for computing self-similarity dimensions in a landscape study based on the digital terrain model (DTM) data of Taiwan Island. The DTM data was obtained by an aerial survey with a resolution of 40 by 40 m. The self-similarity dimension has a negative exponential relationship with its elevation. The self-similarity dimension ranges from 2.6 to 2.8 when the elevation is over 1000 m. On the other hand, in the foothills and plains region of western Taiwan, which is mainly under 1000 m elevation, the self-similarity dimension increases rapidly from 2.0 to 2.6 as the elevation increases from sea level to 1000 m. The self-similarity dimensions of different geographic regions of Taiwan Island are: western plains: 2.0; the western Foothills: 2.252.5; Central Mountain Range: 2.75; the Tatun volcanic area (northern Taiwan): 2.5; Coast Range of eastern Taiwan: 2.32.4; and Lanyu Island: 2.5.
self-similarity taiwan digital terrain model fractal