Abstract: A series of multifractals models are made based on the assumption that urban and rural population distribution conforms to a rule of cascade structure.The models can be employed to characterize the distribution pattern of spatial dynamics of urbanization.Taking USA and PRC as examples,multifractals spectra are estimated using levels of urbanization.According to both the theoretical inference and empirical analyses,a formula is proposed as E_s=max(D_q)-min(D_q)/d to measure geo-space-use efficiency.In prac...