从城市一乡村人口二尺度递阶分布的假设出发,构造城乡人口交叉分布的多分形系列模型.根据这些模型,借助区域城市化水平,可以方便地估计城乡地域分异的多分维谱.以中国和荧国的城市人口比重为例,说明了多分维谱的计算方法.根据理论分析和计算结果,提出了反映人文地理系统空间利用效率的计量公式.在实践中,可以根据多分形的结构反过来划分城乡地域范围,揭示其区域系统的空间结构特征.
A series of multifractals models are made based on the assumption that urban and nural population distribution conforms to a rule of cascade structure, The models can to characterize the distribution pattern of spatial dynamics of urbanization. Taking USA and PRC as examples, muhifractals spectra are estimated using levels of urbanization. According to both the theoretical inference and empirical analyses, a formula is proposed as Ei = [max(Dq)-min(Dq) ]/d to measure geo-space-use efficiency. In practice, the urban and rural arusing the idea from multifractals.