中文摘要：

基于GIS技术和探索性空间数据分析（ESDA）方法,利用京津冀都市区1995-2007年人均GDP数据,对京津冀都市区经济发展水平、经济增长率及其和初始发展水平动态关系进行了深入的研究。研究表明：（1）京津冀都市区经济差异和空间集聚都呈逐步扩大趋势,空间依赖增强,经济差异和空间集聚呈较高的正相关关系,京津冀都市区经济发展水平空间集聚的增加,在一定程度上加大了经济差异。（2）京津冀都市区内部形成了两大空间集聚区,一个以北京、天津、唐山为核心的高经济发展水平的集聚区;另一个是以承德、张家口和保定为核心的低经济发展水平的集聚区。（3）初始经济发展水平局部空间自相关类型不同的区域,经济增长率与初始发展水平的动态关系不同,初始发展水平高的空间集聚区表现出明显的经济收敛性,而初始发展水平低的空间集聚区中的多数地区则有落入＂恶性循环累积陷阱＂的倾向。

英文摘要：

The aim of the paper is to study the spatio-temporal dynamics of per capita GDP in the Beijing-Tianjin-Hebei Metropolitan Region（thereafter short for BTHMR）.A sample of 140 county-level regions over the period 1995-2007 provides clear evidence of global and local spatial autocorrelation or autodependence as well as spatial heterogeneity.Transition probability matrices were used to verify the robustness of our conclusion.Based on techniques of exploratory spatial data analysis,several conclusions are draw as follows：（1） The economic disparity and spatial concentration of the BTHMR is enlarging,as indicated by coefficients of variation and global Moran＇s I.The economic disparity and spatial concentration have a positive relationship,indicating that with the increase of spatial concentration,economic disparity may also enlarge.（2） With the Moran scatter plot,the heterogeneity takes on two distinct spatial regimes.One corresponds to the HH scheme including Beijing,Tianjin and Tangshan mainly,the other to the LL scheme including mostly Chengde,Zhang Jiakou and Baoding municipalities,which are surrounding Beijing and Tianjin.（3） The annual average growth rates of per capita GDP also reveal high spatial autocorrelation.Regions with relatively high growth rates are localized close to other regions with relatively high growth rates more than if this localization is purely random,and the statistical significant HH cluster falls mainly into Beijing and Tianjin,indicating that at present,the polarization effect rather than the spread effect of growth pole is dominating.（4） The relationship between initial log per capita GDP and average growth rates is different according to various patterns of local spatial autocorrelation of the initial year.In the HH scheme,initial log per capita GDP and average growth rates have a negative relationship,as an evidence of standard β-convergence models,while for LL scheme,the local autocorrelation type of growth rates of most regions remain falling into the LL scheme