Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents

摘要: Fractal growth is a kind of allometric growth, and the scaling exponents can be employed to describe growing fractal phenomena such as cities. The spatial features regular fractals characterized by dimension. However, for real systems with statistical fractality, it incomplete measure structure invariance only Sometimes, we need know ratio different dimensions rather than themselves. A fractal-dimension make an exponent (ASE). As compared dimension, ASEs have three advantages. First, values are easy estimated in practice; second, reflect dynamical characters system's evolution; third, analysis made through prefractal limited scale. Therefore, based on more functional systems. In this paper, definition calculation method illustrated starting from mathematical fractals, and, then, China's cities taken examples show how apply depiction form