From the early expansion of domestic demand to the deployment of a country with great transportation strength made by the 19th National Congress to the present "Belt and Road", the construction of transportation infrastructure has continued to be mentioned as a priority area for development (Meng et al., 2021; Lin, 2020). Since 2004, the mileage of highways, railroads, and expressways has increased significantly, as it shown in Fig. 1. During this period, the economy has also maintained a high growth rate, and the total economic volume has been rising (Li et al., 2022). As a forerunner of economic development, transportation infrastructure has externalities that can accelerate the flow of factors and the integration of resources among cities along its routes, effectively promoting complementarity of advantages among regions (Shen and Pan, 2022; Guan et al., 2023).
Nowadays, there are still some problems in exploring the relationship between transportation infrastructure and the economy (Alam et al., 2021). On the one hand, there is no doubt about the effectiveness of improving transportation as a policy to boost the economy in the early days (Kong et al., 2021; Li et al., 2022). It remains to prove whether continued investment in it will continue to pay off as it has done in the past, with the global economic decline presenting China with enormous challenges and opportunities. On the other hand, under the conditions of a market economy, various factors within a region interact with each other. The impact of transportation infrastructure on the regional economy is complex (Lu et al., 2022). It is not sufficient to consider their relationship only from a static point of view. Therefore, it is necessary to consider more factors and to sort out the relationship between transportation infrastructure and the regional economy again from the perspective of dynamic and non-linear relationships.
There has been a large amount of literature examining the economic impact of transportation infrastructure development at the macro level. The earliest research on this topic can be traced back to the 18th century when Adam Smith theorized that the transportation environment has a positive effect on the economy and society. Since then, many subsequent studies have confirmed the conjecture (Kong et al., 2022; Onifade et al., 2022; Zhu et al., 2020). There is a long-run equilibrium relationship between transportation infrastructure and economic growth, carbon emissions, and income inequality (Zhang and Zhang, 2021). Transportation infrastructure can enhance the quality of urban economic development (Kong et al., 2022; Onifade et al., 2022). In the background of high-speed railways (HSR) becoming the mainstream mode of transportation in China, exploring the impact of HSR on urban structure reveals that it has a positive impact on urban expansion (Zhang et al., 2022; Wong et al., 2022). The emergence of HSR accelerates the economic development of the region (Zhu et al., 2020). At the same time, HSR can increase the efficiency of the investment (Wu et al., 2022; Lin, 2023). However, the empirical results are not as Adam Smith's conjecture at that time, the development of transportation infrastructure does not always positively promote the regional economy. Transportation infrastructure inequality undermines the growth of the economy (Chen, 2021). The contribution of transport infrastructure to economic growth varies across regions, as confirmed by the time series approach. In the long run, the positive impact of investment disappears due to the lack of maintenance of transportation (Magazzino and Mele, 2021).
In summary, the impact of transportation infrastructure on the regional economy has been the subject of several studies. Nevertheless, based on the diversity of geographic scales used (Alotaibi, 2022), the question of what exactly the impacts are between them is still a controversial subject. The topic remains shortcomings in the following areas. Firstly, regarding the measurement of transportation infrastructure, many researchers use rail density, highway density, and transportation investment to portray transportation infrastructure. Some other studies measure it by measuring accessibility. Both of them have limitations, as the single indicator is too partial, and the accessibility indicator focuses only on the micro impact of transportation infrastructure on the regional economy. Secondly, considering dynamic panels with only short-term dynamic impacts is common. The empirical part is based on the empirical experience of the predecessors. The dependent variable with one period lag is directly put into the regression, which lacks certain relevant support and does not consider the longer-term dynamic impact. Finally, the impact of transportation infrastructure on the regional economy is complex. A simple linear relationship cannot completely portray the impact, but only roughly show its positive or negative effect. Numerous researches have focused on the linear relationship based on panel data, without considering the possibility of a non-linear relationship between the transportation infrastructure and the regional economy.
This paper aims to answer the following questions. (1) Whether there exists a way to construct transport infrastructure more comprehensively and objectively? (2) What is the impact of transport infrastructure on the regional economy after controlling for relatively long-term lagged economies? (3) How the combined linear and non-linear relationship portraying the relationship between transport infrastructure and the regional economy is consistent?
To make up for the aforementioned shortcomings, this research firstly adopts Random Forest for the comprehensive measurement of physical indicators related to transportation infrastructure. This method makes the indicator measurement more comprehensive and objective. Secondly, this study considers the dynamic impact in the long term instead of sticking to the short term. Specifically, the multiple linear regression model is used to determine the lag order before the Generalized Method of Moments (GMM) regression, so that the empirical process is more justified. Thirdly, after dealing with the dynamic panel data using GMM, further consideration was provided to whether the impact of transportation infrastructure on the regional economy is a simple linear relationship. In addition, it is crucial to further explore whether there is a threshold in between. The empirical section continues with the threshold model.
Therefore, this research bridges the previous gap by improving the following three aspects. (1) Provide a new perspective to comprehensively consider the relevant indicators of transportation infrastructure through an effective dimensionality reduction approach. (2) Determine the lag order of the GMM regression through a more optimal method to control the relatively long-term dynamic impact of the lagged economy. (3) Integrate the linear and nonlinear relationships between transportation infrastructure and regional economy to enrich the existing research.
The rest of this paper is organized as follows. The second section provides an overview of previous related studies. The third and fourth sections present the reasons for variable selection as well as the data processing methods, and the main models used in this research, respectively. The fifth section analyzes the results, which mainly contain two parts, the GMM results and the threshold effect results. Finally, section seven presents the conclusions of this study.