Characteristic Scales, Scaling, and Geospatial Analysis

Geographical phenomena fall into two categories: scaleful and scale-free phenomena. The former bears characteristic scales, the latter has no scale. conventional quantitative mathematical methods can only be effectively applied to geographical rather than In this paper, a comparison between systems are drawn by means of simple models. main viewpoints as below. First, researched methods, while should studied using theory based on scaling such fractal geometry; Second, belong distance-based geo-space, dimension-based geo-space; Third, four approaches distinguish from presented, including transform, probability distribution, autocorrelation partial functions, ht-index. practice, complex system usually possesses aspects aspects. Different methodologies must adopted for different types geographic or same system.