中文摘要：

基于经济、社会、生态、空间发展制定指标体系，利用城市一区域碎化程度模型、城市一区域均匀度模型和广义首位度，从多个角度对环渤海地区2003-2013年空间多中心进行定量测度及时空特征研究。结果表明：1）环渤海地区人口多中心格局已基本形成，区域空间极化减弱，核心城市北京、天津的龙头牵引作用有待进一步加强。2）环渤海地区城市首位度得分较为均衡，空间多中心格局基本形成；经济首位度得分占城市首位度得分比例最大；生态首位度得分所占比例最小，2城市指数与4城市指数都呈下降趋势。3）从时间维度看，京津冀城市群城市首位度得分增幅较大；山东半岛城市群大部分城市的城市首位度得分呈上升趋势；辽东半岛城市群呈下降趋势。4）环渤海地区缺乏整体上的分工协作，区域合作协调机制相对单一。

英文摘要：

Based on the city-regional fragmentation degree model, city-regional uniformity model and generalized urban primacy index, the temporal-spatial characteristics of the spatial multi-centers in the Bohai Rim region from 2003 to 2013 are quantitatively analyzed by using the economic, social, ecological and spatial development index system in this paper. The results show that the polycentricity of population pattern has basically formed. Spatial polarization in the Bohai Rim region is abating. The core cities such as Beijing and Tianjin, whose leading effects remain to be strengthen. Urban primary index is balanced in the Bohai Rim region, the polyeentricity pattern has basically formed. Score on the economical urban primary index takes the largest proportion, while score on the ecological urban primary takes the least proportion. The urban primary index shows a trend of decline. From the time dimension, there＇s a big increasing range in the Beijing-Tianjin-Hebei metropolitan region over the years. And urban primary index for most cities in the Shandong peninsula metropolitan region is increasing. However, most cities in the East Liaoning peninsula metropolitan region get lower urban primary index. The Bohai Rim region lacks collaboration from city to city,and the coordination mechanism is relatively single.