Abstract: In recent years,the Club Convergence is becoming a focus in the study of regional economic growth convergence.In this paper,according to the three statistical indexes of the provincial and regional per capita GDP,the per capita disposable income of urban residents,urbanization rate from 2003 to 2013 in Hunan Province,15 research objects are clustered into regional groups,and three levels of economic belts are obtained. With the variance decomposition method,the general regional differences and the differences within and between different levels in 2003—2013 are calculated.The results show that the regional differences in per capita GDP have increased and the economic growth tends to differ；the regional differences in per capita disposable income have also grown and the income growth tends to vary；the regional urbanization rate differences firstly increased and then decreased,and the urbanization rate growth divergence shows the tendency of similitude. The results of variance analysis on the three economic belts show that the per capita GDP and disposable income analysis do not indicate empirically the phenomenon of “club convergence” phenomenon,while the urbanization rate can explain the phenomenon “club convergence” in economic belt.

Key words: cluster, variance analysis, &sigma, convergence