4.3.2. Spatial Econometric Estimation of the Impact That Education on Economy
- (1)
Spatial Econometric Model
The spatial autocorrelation test reveals that the economic development of the Beijing–Tianjin–Hebei urban agglomeration has a significant spatial correlation. Therefore, its spatiality cannot be ignored when studying its relationship to economic growth, and the introduction of spatial econometric models must be considered. The commonly used spatial econometric models include the SLM, SEM, and SDM. Their differences mainly originate from the spatial matrix and the interaction terms of variables. Among the three models, the SDM is the standard one. It provides sufficient feedback on the spatial correlation problems caused by the explanatory and explained variables and their interaction terms and also captures different variables’ spatial spillover effects. Therefore, the SDM is used for estimation here. First, the following SDM is constructed.
In Equation (9), ρ is the spatial autocorrelation coefficient; W is the spatial weight matrix; α and β are the autoregressive coefficients; ε is the spatial error term.
Before proceeding with model construction, it is important to determine whether the variables are independent. There are many methods to detect multicollinearity, and the (variance inflation factor, VIF) VIF value in regression analysis is often used; the larger the VIF value, the more serious the multicollinearity. It is generally believed that when the VIF is greater than 10, the model has a serious collinearity problem. Here, we use the VIF value to carry out the collinearity test. The results in
Table 6 show that the VIF values among the variables are less than 10, indicating that the variables are independent of each other.
Additionally, the model must be tested for reasonableness based on the model discriminatory approach proposed by Anselin [
47]. Using the
LR test and the
Wald test, the data in
Table 7 show that both pass the 5% significance level test, justifying the use of the SDM.
In the selected SDM, it is necessary to discern which estimation method is more appropriate, random or fixed effects. In this study, the
hausman test was used, and the results showed that the estimate of the
hausman test was 28.11, and it passed the 1% significance level test. The fixed effect estimate was higher than the random effect; therefore, the fixed effect results were used for the analysis here (
Table 8).
- (2)
Analysis of Overall Effects
The results of the fixed effects of the SDM show that the increase in the level of regional education contributes significantly to economic growth. At the same time, its lags also indicate that its development has a significant spillover effect on the development of neighboring regions. The value of ρ from the spatial model also shows that the regional economy has a significant spatial spillover effect during education development. Accompanying educational development, capital investment, foreign investment in labor, and the increase in innovation level all significantly contribute to China’s economic growth.
- (3)
Analysis of the Results of the Decomposition of Spatial Effects
The spatial Durbin model contains both spatial lagged terms of the dependent variable and the independent variable, leading to some possible bias in the estimated coefficients of SDM in
Table 7. Here, the total effect of the independent variable’s effect on the dependent variable is decomposed into direct and indirect effects, using the effect decomposition method (
Table 9).
The results show that the role of education development in promoting economic growth is significant. The improvement in education level changes the composition structure of regional human capital at a certain level, and the improvement of human capital causes a better and more effective combination of labor and capital [
36,
46]. Human capital improvement also promotes economic growth through technological innovation and other means. The research results further support the view of some scholars that the improvement of education level promotes economic growth [
36], while the improvement of human capital also promotes economic growth through technological innovation and other means. The findings further support some scholars’ view that the improvement of education level promotes economic growth [
48,
49]. Regarding indirect effects, the increase in education level has a negative spatial effect, but its extent is less than its contribution to the region. Scholars’ findings on the spillover effect of education level on economic growth vary, with some studies finding that the increase in education level promotes inter-regional population mobility and thus changes the labor market in surrounding areas, indirectly promoting neighboring regions’ economic growth [
50]. Some scholars also argue that human capital is affected by the increase in education level in an imperfectly competitive market. High-quality talent squeezes the survival space of low-quality talent. Education is not sufficiently sensitive to changes in the market economy. The resulting educational development level has a significant time lag. Meanwhile, the labor force transfer between urban and rural areas, regions, and economically developed and less developed areas caused by urbanization also results in negative spillover to neighboring regions regarding the increase in education level.
Despite China’s increasing innovation drive in recent years, the miracle of China’s economic growth remains the result of factor inputs [
51,
52]. The study finds that capital stock has a significant boosting effect, but the results suggest a negative spatial spillover effect. This is because significant competition exists among China’s regions, and the increase in investment promotes regional development. In addition, the well developed regions tend to have a strong “siphon effect”, which attracts more talent and foreign investment into the region, thus demonstrating a negative spillover effect on neighboring regions’ economic growth.
Research has shown that labor contributes significantly to regional economic growth and has a significant positive spillover effect. Labor is the fundamental driver of economic growth and structural transformation, and a certain level of labor input leads to rapid economic growth. Simultaneously, inter-regional labor mobility also causes a positive spillover effect between them. However, it is worth noting that the “leveling effect” in labor supply has diminishing returns, which makes it impossible for regional development to rely on the “demographic dividend” in the long run. Nevertheless, this is one of the ways to achieve economic transformation and upgrading [
53,
54].
The study also found that the industrial structure’s promotion effect on China’s economic growth and the spillover effect on neighboring regions are not significant, which may be related to the existence of many irrational factors in the development of China’s industrial structure. Therefore, the transformation and upgrading of the industrial structure remain the focus of future development [
46].
The results show that foreign investment and government intervention have a significant role in promoting China’s economic growth and a negative spillover effect on neighboring regions’ economic growth. Foreign investment facilitates economic and trade exchanges between countries worldwide and introduces advanced management experience while promoting inter-regional competition and cooperation, which significantly contributing to economic efficiency [
39,
40]. The negative spillover effects of foreign investment and government intervention further indicate that China’s degree of regional competition is relatively high and the cooperation is insufficient. In a subsequent development, more attention must be given to balanced and coordinated development among regions.
The results here similarly show that innovation capacity has a significant contribution and positive spillover effect on China’s economic growth. An increase in the national innovation level promotes economic efficiency and the development of high-tech industries [
55]. Technological innovation is a core driver supporting the Chinese economy’s healthy and sustained growth. The outward spillover effect of innovation capability is recognized by many scholars [
44], and the innovation level increase accelerates knowledge and capital spillovers between regions. Additionally, it promotes neighboring regions’ innovation level improvement.
- (4)
Decomposition of Subregional Spatial Effects
China is vast, and there are huge development differences between regions. To make this study more realistic, we divide 31 provinces and cities into four regions (
Table 10) and use them to construct a spatial model and spatially decompose their effects. The results are shown in
Table 11.
The results in
Table 11 show that education development significantly promotes economic growth in the eastern, central, and northeastern regions; the effect of improving the education level on the western region’s economic development has not reached the expected effect, mainly because it is mostly a remote mountainous area and a gathering area for ethnic minorities. Education development is affected by factors such as transportation, residents’ awareness, and financial investment. The education development level has a negative spillover effect only in the eastern region, which has a highly developed economy and strong internal competition. Improving the education level, especially the concentration of high-quality talent, is key to improving human capital, which is also an important factor influencing China’s economic growth.
Both capital and labor force show significant regional promotion effects, indicating that they are the main drivers of regional economic growth. However, capital has a significant negative spillover between eastern and western regions. This suggests that more attention should be paid to inter-regional coordination and cooperative development rather than increasing inter-regional competitiveness. A win–win situation is more suitable for inter-regional development, especially in western regions, where the labor force also shows significant negative spillover.
The industrial structure has shown a significant boost and positive spillover effect only in the northeast. As China’s historical industrial base, this region’s economic development primarily relies on the development of secondary industries. However, with the recent policy of industrial revitalization, the industrial structure of the northeast region has gradually changed, dominated by tertiary industries, and the industrial structure has been upgraded and developed. As a result, its role in economic promotion has been increasing.
Foreign investment has also significantly contributed to economic growth only in the western region. This is because the western region is one of China’s less developed economic regions, where capital investment may be lacking. The amount of foreign investment can compensate for the lack of capital investment to a certain extent. With the western region’s unique resources and development status, foreign investment’s advanced management capabilities and technological innovation promote regional economic development [
56]. However, it is also important to note the threshold effect of foreign investment. In the initial stage of economic opening, foreign trade promotes economic growth, and after exceeding a specific threshold, further increases in trade openness may reduce the economic growth rate [
57]. Therefore, more attention should be paid to quality in the subsequent selection of foreign investment.
The innovation level has also not had the expected effect in the central and northeastern regions. Generally, locations with stronger economic development have strong innovation dynamics. New industries and economies grow rapidly, providing a new and strong impetus for economic development, a smooth transformation of old and new dynamics, and more robust and “resilient economic growth” [
58], such as the developed coastal provinces and cities in the Yangtze River and Pearl River Delta regions, which have taken the lead in adaptation. For example, the developed coastal provinces and cities in these regions have led adaptation to leadership in the new national economic normal. They have nurtured new growth momentum in the development transition. The characteristics of the new economic normal, with “speed change, structural optimization, and power transformation” as the core, are becoming increasingly obvious; central region economic growth at this stage remains dependent on the pull of capital and labor, and capital investment has been gradual. Recently, however, capital investment has been increasing. Against the background of the new normal, the traditional path of economic growth driven by strong factor inputs and high energy consumption is difficult to adapt to the new development situation and requirements. At this stage, the key to economic development is to transform the mode of economic development and increase innovation capacity to enhance the proportion of the new economy, new industry, and new kinetic energy in the traditional industry. The historical industrial areas in the northeast have not entered the new normal of development, with the old kinetic energy accelerating decline and the new kinetic energy remaining unformed [
58]. Pre-innovation capital investment is time-lagged and has a certain inhibitory effect on economic growth [
59], but technological innovation remains a key factor.
Government intervention causes spatial differences in economic growth, but the data show less significance in the northeast. Local governments are likely to have different economic effects in driving economic development [
60]. In the early stage of “revitalizing the old industrial bases in Northeast China,” the “three strong and three weak” states of strong government and weak enterprises, strong government and weak market, and strong government and weak society often appeared in Northeast China [
61]. Still, as the government continued to delegate powers to lower levels, the “three strong and three weak” state was improved. Although fiscal spending in the northeast has not had a significant effect thus far, government actions such as infrastructure construction and industrial restructuring will provide a strong impetus for subsequent economic development [
62,
63].