Physical Sciences and Mathematics Commons^™

H-Index For Quantifying The Fractal Or Scaling Structure Of Geographic Features, Bin Jiang, Junjun Yin

Articles

Although geographic features, such as mountains and coastlines, are fractal, some studies have claimed that the fractal property is not universal. This claim, which is dubious, is mainly attributed to the strict definition of fractal dimension as a measure or index for characterizing the complexity of fractals. In this article, we propose an alternative, ht-index, to quantify the fractal or scaling structure of geographic features. A geographic feature has ht-index (h) if the pattern of far more small things than large ones recurs (h – 1) times at different scales. The higher the ht-index, the more complex …