Division Of China's Economic Region

At present, there is three basic characteristics in our country regional economy development: not balanced, poor interaction and widening gap .In this case, we must divide the economic region appropriately. Prom 1949 to now ,there has been a lot of versions of dividing the economic region, but all are qualitative analysis that is based on geographical location. So they are not accurate only from geographical view because the economy is changing. So our regional policy or regional investment can be effective if we should redivide the economic region in different development stages. In this case, some scholars started to introduce quantitative analysis method into dividing China's economic region. Statistics be applied in regional economics, but in the course of combined these two disciplines, there were also many problems .For instance, some scholars in the use of cluster analysis to the region division consider too many factors, made of the results confusing. And they have not considered the integrality of sample-curve, This study hasn't the integrality. In this paper,I taked per capita GDP of the Chinese mainland's 31 provinces (autonomous regions and municipalities) as a sample , used CATS, and redivided China's economic region.CATS—clustering after transformation and smoothing-is a technique for nonparametrically estimating and clustering a large number of curves (or profile).The steps of CATS :We first screen out curves that are nearly flat, then smooth the remaining curves, and then cluster the smoothed curves.A novel feature of our method is that we estimate the error due to the fact that we are clustering the estimated curves rather than the true curves.