Abstract：Based on the quantitative and empirical study on the agglomeration level of productive service industry in 286 Chinese central cities during 2000—2010, a comprehensive analysis of productive service industry spatial agglomeration and distribution change is conducted. By means of factor regression analysis, concentration index of central city productive service industry is constructed and its connotation is analyzed with a method similar to location quotient. Concentration index has a positive correlation with the level of agglomeration and external service capability. In China, the overall distribution of national spatial agglomeration is that large-scale agglomeration in national central cities ( cities in Beijing-Tianjin-Hebei Region, Yangtze River Delta and Pearl River Delta) and small-scale agglomeration in middle-sized and small cities ( capital of provinces and sub-central cities) coexists. On the basis of concentration index, those central cities can be divided into national ( complex) , provincial ( regional) and local agglomeration center. In general, the concentration of productive service industry and manufacturing industry are separated, but the former coincides with the latter's hinterland.

Keyword：productive service industry;spatial agglomeration;factor analysis;central city;