本文採用Enders and Lee (2004, 2009)所提倡的Fourier unit root test，再一次地檢驗中國各省所得收斂的趨勢。在非線性過程且結構轉變時點未知的條件下，以傅立葉模型能夠相對有效地捕捉未知結構轉變發生的時點。最後，我們的實證結果指出中國的東部和西部存在的所得收斂的趨勢，這或許可歸因於政府政策有效地改善該地區所得差距的問題。

In our study, we adopt Fourier unit root test proposed by Enders and Lee (2004, 2009) to revisit the tendency towards convergence in real per-capita income among provinces in China. When data generating process is non-liner process, Fourier series not only allows for the possibility of an unknown number of structural breaks with unknown forms but also using low frequency component to capture multiple changes. Contrary to what the linear statistics suggest, our results of Flexible unit root test indicate that China’s eastern and the western regions, converge to their own specific steady states

Contents………………………………………………………………I
List of Tables and Figures..............................II
Chapter 1 Introduction………………………………………………1
Chapter 2 Methodology.....................................7
Chapter 3 Data and Empirical Findings.....................11
3.1Data...................................................12
3.2 ADF, PP, KPSS unit root test..........................12
3.3 Fourier unit root test................................14
Chapter 4 Conclusions.....................................19
References............................................... 20
Table 1 Descriptive statistics of the variables for China.24
Table 2 ADF, PP, KPSS Unit root tests based on Beijing ….25
Table 3 ADF, PP, KPSS Unit root tests based on Shanghai….26
Table 4 Fourier Unit root tests based on Beijing……………27
Table 5 Fourier Unit root tests based on Shanghai…………28
Figure 1 Plots of income convergence provinces for China…29
Figure 2 Plots of Per Capita Real GDP for China based on Beijing...................................................30
Figure 3 Plots of Per Capita Real GDP for China based on Shanghai..................................................33

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