American mathematician B B Mandelbrot introduced fractal theory in the middle of 1970s and it is an effective method for sophisticated problems Before 1975 mathematicians had found already some fractals, for examples, the Canter ternary and Peano curves Since then,it has been applied in almost every field of natural science and social science successfully Especially in recent years, fractal theory has aroused a great amount of interest and attention from scientists So called "fractal" means "irregular, fractional, fragmental" and its core is self similarity To characterize fractal, different dimensions are defined according to methods to calculate it Examples include Hausdorff dimension, capacity dimension,correlation dimension, etc Fractal theory describes irregular (fractal) objects in quantitative manner The property of fractals can be mathematically expressed by self simility and self affinity suggesting that the structural phenomena exist at any scale Fractal dimension as a measure provides geometric property of fractals In 1986, B B Mandelbrot proposed: "the shape whose components are similar to its entirety is called fractal" and "fractal is inflexibility under nonlinear transformations" We can define a fractal assemble as:Nn =C/rn DWhere Nn is the number of the objects whose measurement scale is rn,C is ration and D is fractal dimensionIn this paper, the main contents of fractal theory are introduced firstly; then based on a great number of correlative papers the domestic conditions of applications of fractal theory in geography are reviewed.
QIN Yaochen, LIU Kai
. Advancement of Applied Studies of Fractal Theory in Geography[J]. PROGRESS IN GEOGRAPHY, 2003
, 22(4)
: 426
-436
.
DOI: 10.11820/dlkxjz.2003.04.011