4.1. Model Setting
From the above discussion, FDI may act on China’s urban–rural income gap through factors such as employment structure, industrial structure and international trade. At the same time, it may also be affected by factors such as economic openness, education level and government financial intervention. Therefore, based on a consideration of various factors, this study further explores the possible relationship between the two areas. Using data from 2000 to 2019 and both referring to the models of He and Xu [
35] and based on the basic Kuznets [
17] model and provincial Chinese panel data, a static panel of FDI and urban–rural income gap is constructed by introducing FDI and other important control variables as follows:
where i represents different provinces (i = 1, 2, 3, …, 30), t represents different times (t = 2001, 2002, 2003, …, 2019), lnIG
it represents the income gap between urban and rural areas, lnLFDI
it represents the level of FDI, lnLFDI
it2 represents the quadratic term of the level of LFDI, lnPGDP
it represents the level of local economic development, lnTO
it is the degree of trade openness, lnEDU
it is the level for education, lnEMP
it is the employment structure, lnGOV
it represents the level of government intervention and lnUR
it represents urbanization. γ
i is the province fixed effect, δ
t is the time fixed effect and ε
it represents the independent and identically distributed random disturbance term. This research tries to solve or alleviate the problems brought by endogeneity by selecting the lag variable after taking a logarithm of FDI as the tool variable.
Table 1 is a descriptive statistic for the data used in the model [
38,
39,
40,
41].
4.3. Data Sources and Variable Selection
The original data used in the empirical study were derived from data collected by the National Bureau of Statistics of China and documents such as the China Labor Statistics Yearbook. The time span of the data is 2000–2019 and the cross-section units are the provincial panel data of China; data on Tibet, Taiwan and the Hong Kong and Macao Special Administrative Regions were excluded, giving a total of 30 provinces for analysis.
IG (income gap between urban and rural areas): IG is used to represent the urban– rural income gap. In fact, the Gini coefficient is a widely accepted indicator of a region’s income gap. However, in the application process, in addition to the controversial system for calculating the Gini coefficient, the relevant data of the Gini coefficient of each province in China are also difficult to obtain. Therefore, the general methods of current research are adopted, with the ratio of urban resident per capita disposable income (PCDI) to rural resident PCDI taken as the measurement index. The greater the value, the greater the income gap between the two places.
As impacts are a continuous, long-term, dynamic process, the direct use of flow data may not accurately reflect such long-term disturbances [
35]. In addition, because of the lack of directly available FDI stock data, this study uses the LFDI ratio, taking into account the exchange rate and inflation, to express the level of FDI. Using TO to express a region’s trade openness also draws lessons from the research of Robinson [
42], which holds that the dependence of such a region on the external market can reflect the economic control and influence of FDI on a country. The level of economic development is expressed in terms of PGDP, with the nominal PGDP adjusted using the 2000-based consumer price index in the calculation to calculate the actual PGDP of a province (
Table 5).
4.4. Full Sample Analysis
Table 6 shows the results of the full-sample empirical regression.
In model (1), the impact coefficient of LnLFDI on LnIG is 0.0146538. This is significant at the 5% level, indicating that the impact of FDI on China’s urban–rural income gap is negative; the more FDI flows in, the more the gap widens. However, the value of the coefficient R2 to be determined, which ultimately includes all the control variables under the fixed effect, is only 0.0085. The R value of model (1) is too small compared with other models, indicating that the overall estimation effect of this model is unsatisfactory. Therefore, the research focus of this study is mainly on other, more explanatory, empirical results. From models (2) to (4), control variables and intermediate variables are introduced one after another. Not only were the coefficient levels before LnLFDI and LnLFDI2 more significant, but the value of R2 was also increasingly large, indicating both that both the overall estimation effect of the model was more ideally suited and that the explanation of the correlation between the two was more reliable. This research will thus make a detailed analysis and explanation of the numerical results of model (4) and its corresponding economic implications. As it takes some time to implement and generate the effects of possible FDI, a one-period lag model (5) and a two-period lag model (6) were also added, but by looking at the time lag of the effect of FDI as reflected in both models, the results were not significant, and the lag effect was not significant. One of the main reasons for this is likely to be that FDI generates income for enterprises and employees, but since income is current and enterprises tend to increase their income to employees through wage income rather than through asset income, the lagged effect of FDI is not significant.
First, the most important two variables, LnLFDI and LnLFDI2, are analyzed. The coefficients in front of them are β1 = −0.0756 and β2 = −0.0071, respectively. It is worth mentioning that both parameters pass the 1% significance level test, which indicates that it is feasible and necessary to add the square term of dependence on foreign investment into the measurement model of this study. It also shows that there is a strong and complex correlation between FDI and the gap in China as a whole. Specifically, the coefficient of LnLFDI2 is negative, indicating that the opening of the equation parabola is downward; there is a so-called “inverted U” curve effect, in theory, between the two. From the specific numerical value, according to the nature of the quadratic function, when LnLFDI = −5.32, the effect of FDI on the urban–rural income gap is the largest, but at the same time, this node is also a turning point. When LnLFDI starts to be greater than −5.32, FDI plays a positive role. From a practical point of view, the research needs to know at what stage the current utilization of foreign capital in China is, so as to better put forward effective suggestions. According to the previous descriptive statistics of LnLFDI, although the minimum value in China’s LnLFDI is only −9.142, the maximum value is −2.103 and the median value is −4.146. Therefore, it can be judged that most of the LnLFDI in the sample is already greater than −5.32. The impact of foreign investment on this gap is on the right side of the inverted “U” shape in China as a whole. The coefficient before LnLFDI was −0.0755567, which also passes the 1% significance test. This negative correlation shows that the development of foreign capital in China will aggravate the inequality of its income distribution, which provides evidence for the analysis results of its square term. With increases in FDI inflows, the income distribution problem in many regions can be gradually improved.
LnPGDP has a coefficient of 0.1732942, which is positive. As China’s economic level grows, the income inequality between two areas will become more serious. The coefficient before LnEDU is β3 = 0.1803402, with the parameters passing the 1% significance level test; this shows not only that there is a significant positive correlation between education level and IG in China, but also that, with improvements in education levels, this gap will become larger. Due to the requirement of labor quality, FDI may be more likely to flow into urban areas with higher education levels during the inflow process, which pushes the overall higher education levels in China to continuously improve. However, with the unbalanced development of education between urban and rural areas, inequality will become more and more serious. The negative LnGOV coefficient shows that the bias of national fiscal policy towards FDI has indeed played a role in improving both income equity and people’s living standards by helping to narrow it. Although it also shows that the greater the government intervention, the easier it will be to improve income inequality, the results of this variable are far from passing the significance test. Further specific empirical results need to be tested.
The results indicate that the coefficient of LnEMS passes the 5% significance test, showing a significant negative correlation. Research shows that the employment structure changes brought about by FDI are helpful in narrowing the gap. At present, the labor force in related secondary and tertiary industries is gradually moving to the countryside. This can also be combined with the results before LnUR. The coefficient passes the 1% test and is significantly negative, indicating that the higher the urbanization rate, the smaller the income gap. With the gradual improvement of the urbanization level in various regions in recent years, the more the nonurban population has moved to cities, the more the urban and rural population structure has changed and the more the labor force in primary industry has gradually been replaced by workers in secondary and tertiary industries. From the perspective of LnTO, even if trade is open, the increase in the proportion of China’s imports and exports will also play a positive role. The coefficient is negative at 1%. This shows that, with the further opening to the outside world, China’s trade structure has been optimized. This may be because the more open to the outside world, the more obvious the improvement in the trade structure will be to increase the income levels of rural residents as compared with those of cities and towns, all of which will help to narrow the gap.
4.5. Regional Heterogeneity Analysis
Before the empirical analysis, a Hausman test is also used for model selection. The monitoring results of the three regions show that the fixed-effect model is the most appropriate. The analysis of the region is also carried out from the two important indicators of LnLFDI and LnLFDI
2. From the grouped regression results in
Table 7, only the coefficient before the LnLFDI
2 index in the eastern economic belt passes the 1% significance test, indicating a significant negative correlation, i.e., the relationship between them shows an inverted “U” shape.
Combining the critical values of LnLFDI for each region in
Table 7 with the values in the descriptive analysis of LnLFDI for each region in
Table 8, nearly half of the provinces in the eastern economic belt are now on the left side of this shape.
As can be seen from the above, there are some provinces in the east which are much higher and more improved than other provinces in the east, both in terms of FDI inflow and income inequality. Therefore, although the number is small, it is sufficient to make the overall impact of foreign capital development in the east negatively correlated to the income gap. There is a big gap between the provinces under the influence of the eastern economic belt and there is even a fault phenomenon. Neither the central nor the western regions pass the significance test. This may be due to some practical reasons. For example, in the previous analysis of the current situation, it was mentioned that FDI will always flow into the developed eastern economic region on a large scale, but for the central and western economic regions, the time limit for large-scale inflow of FDI is relatively short and the phenomenon of the inverted “U” relationship, which is a medium-term and long-term research phenomenon, is not obvious. LnLFDI2 is significantly negative in the eastern region, showing an inverted “U” shape, but the linear relationship is not significant in the other two regions. The analysis results of the whole sample can be proved better. On the other hand, it can be said that the eastern region plays a leading role in China in all aspects of FDI.
From the perspective of other variables, the coefficient before LnPGDP, whether significant or not, is positively correlated in the three regions. With the development of the regional economy, the income gap in each region will become larger and larger, which corresponds to the analysis results of the whole sample. The test results of LnGOV and LnEMS are consistent with the analysis results of the whole sample, which are all significantly negative. The higher the level of government intervention and the better the employment structure, the more serious the problem of income inequality. The three regions of LnEDU are also significantly positive. The higher the education level in all parts of the country, the wider the income gap. LnTO performance in the three regions is different. In the case of significant results in the central and western regions, there is a negative correlation, while in the eastern region there is an insignificant positive correlation. LnUR is only negatively correlated in the west. The deeper the urbanization, the more inequality in this region can be improved, while the opposite may be true in other regions. All these have strengthened the rationality of the analysis results of the whole sample to a certain extent.