4.2. Analysis of Necessary Conditions
- (1)
Single Necessary Condition Analysis
This study examines the distribution characteristics of the necessity of various antecedent conditions across different digital economy development levels. While analyzing the necessary conditions, this study also investigates the degree of necessity of each antecedent variable at varying stages of the digital economy’s development.
This article employs two different estimation methods, ceiling regression (CR) and ceiling envelopment (CE), to calculate the effect sizes. Following the research recommendations of Dul (2020), the results of the NCA analysis should also consider the significance level, specifically with a
p-value greater than 0.5 [
28]. Upon comprehensive examination, both methods indicate that the
p-values for human capital are above 0.5, demonstrating significant impact on the development of the digital economy. However, the effect sizes suggest a low-level influence. While the levels of technological innovation (CR method d-value of 0.03, CE method d-value of 0.00), economic development (CR method d-value of 0.01, CE method d-value of 0.00), fiscal investment (CR method d-value of 0.00, CE method d-value of 0.02), and policy support (CR method d-value of 0.02, CE method d-value of 0.00) have some necessary impact on the results, their significance levels are low (
p < 0.1). Therefore, none of these seven antecedent variables alone constitute a necessary condition for the development level of the digital economy. The specific results are detailed in
Table 3 below.
The data in
Table 4 further demonstrate the bottleneck effect sizes of necessary conditions, indicating the minimum level that conditional variables must meet to achieve a given level of the outcome variable y within the observed range [
29]. From
Table 4, it can be seen that for the development of the digital economy at levels ranging from 10% to 90%, the highest level of economic development is required. However, to achieve a 100% level of digital economic development, the highest level of fiscal investment needed is 64%. In the context of non-high digital economic development, industrial structure is an unnecessary condition, but it becomes a highly necessary condition variable for digital economic development above 70% levels.
- (2)
Necessity test of Qualitative Comparative Analysis
To further investigate the necessity of various antecedent conditions for the development of the digital economy and to assess the robustness of the findings, we employ the QCA method to perform a necessary condition analysis on each individual condition.
Table 5 presents the results. The consistency level of a conditioning variable with the outcome reveals the degree of membership of that condition. Scholars generally consider a consistency level above 0.9 to indicate that the conditioning variable can be considered a necessary condition for the outcome variable. As presented in
Table 5, the consistency values of five antecedent conditions are all less than 0.9. According to the QCA necessity test criteria proposed by Ragin [
27], the necessity of each individual condition is at a low level, signifying the absence of necessary conditions impacting the digital economy development level in the cities.
4.3. Adequacy Analysis of Conditional Configuration
After performing the necessary condition test for individual conditions, further analyzing the sufficiency of the configuration of conditions is necessary. Based on relevant research by Ragin, the case frequency threshold was set to 1, and the original consistency threshold was set to 0.8 [
30]. Combining both the simple and intermediate solutions, this study identified eight result paths for cities with high levels of digital economic development. The RAGIN result presentation format was adopted, where “•” represents the presence of a core condition, “᛫” represents the presence of a peripheral condition, “——” indicates that the condition may or may not be present, “
![Sustainability 16 04974 i001]()
” represents the absence of a core condition, and “⊗” represents the absence of a peripheral condition [
27].
The consistency and overall consistency of the various outcome paths for high-level digital economy development are both above 0.9, with an overall coverage rate of 0.60, indicating that the outcome paths cover most of the cases. This demonstrates that the cases selected in this article possess sufficient explanatory power. The specific configuration paths are presented in
Table 6.
From
Table 6, it can be observed that the resulting path of generating a high level of digital economy development results from the combined effect of three-dimensional factors: technology and organizational environment. However, the organic combination of different factors in each dimension leads to different configuration paths of a high level of digital economy development. According to the various core conditions of each configuration path, the configuration paths of a high level of digital economy development are categorized into balanced development type and technical–organizational type.
(1) Balanced development type. The configuration paths that belong to this type include H1, H2, and H3. In paths H2 and H3, technological innovation, policy support and economic development are identified as critical influencing factors. This indicates that the high level of urban digital economy development under such paths is the result of the joint action of three levels of factors: technology, organization, and environment. The specific analysis is as follows:
H1. (Technological Innovation * Policy Support * Economic Development *~ Industrial Structure *~ Financial Development) A high level of scientific innovation means a strong driving force for the growth of urban digital technology. Strong policy support not only reflects the local government’s attention and support for the development of urban digital economy, but also safeguards the healthy development of urban digital economy. A high level of economic development guarantees the demand for urban digital industry, which can better promote the deep integration of digital economy and real economy; thus, the digital development of cities is rapidly advancing under the combined influence of technology, organization, and environment.
H2. (Technological Innovation * Human Capital * Fiscal Investment * Policy Support * Economic Development) In this type of path, cities possess strong technological innovation capabilities and a large pool of talents in the field of technological innovation, leading to a higher efficiency in the transformation of scientific and technological achievements into practical applications. Additionally, the higher fiscal expenditure in the field of science and technology provides a source of funding for research and development in regional technological innovation. Moreover, the high level of economic development in the region also ensures market demand for related digital economy industries.
H3. (Technological Innovation* Fiscal Investment * Policy Support * Economic Development * Financial Development) Similar to H2, this involves cities that jointly promote the development of the digital economy across the three dimensions of technology, organization, and environment. These cities enjoy good financial development, making it easier for enterprises to obtain funding. Additionally, they have a series of policy support measures for digital economy development, safeguarding and promoting the growth of the city’s digital economy. There exists a certain substitution effect between Path H3 and Path H2, specifically in the substitution relationship between the core condition of policy support and fiscal expenditure.
(2) Talent-Funding Type. The configuration paths of this type are H4, H5, and H6. In this type of path, human capital, fiscal investment, and financial development emerge as core conditions. The concentration of talent in the field of technological innovation provides a solid technical development driving force for the digital economy development of cities. Significant fiscal investment and strong financial development also provide ample research and development funds and a development platform for technological innovation in the region, thereby steering the region’s digital economy towards a better direction.
H4. (Technological Innovation * Human Capital * Fiscal Investment * Policy Support * Financial Development) In this pathway, regions with strong technological innovation capabilities and a large pool of talent in scientific and technological fields provide crucial technical support for the development of regional digital economy. Cities with significant fiscal investment in technological innovation attract the convergence of scientific and technological talents. Meanwhile, sound financial development provides financial support for local enterprises’ transformation and upgrading, thereby promoting the development of urban digital economy.
H5. (Technological Innovation * Human Capital * Fiscal Investment * Industrial Structure * Financial Development) Compared to Path H4, cities on Path H5 possess a more favorable industrial structure, with a higher proportion of the tertiary industry. There exists a substitution effect between the industrial structure and policy support in these cities. A higher industrial structure is more conducive to the development of the digital economy in these cities. Therefore, the digital economy in these cities still maintains considerable vitality for growth.
H6. (Human Capital * Fiscal Investment * ~Policy Support * Economic Development * Industrial Structure * Financial Development) In this pathway, cities have less policy support related to digital economy development, but they possess a high-level industrial structure and economic development. Meanwhile, strong fiscal investment and advanced financial development provide powerful financial support for the development of digital economy in the region. Additionally, a superior development environment attracts talents in the field of science and technology, which enables the digital economy in these cities to develop rapidly.
(3) Funding Support Type. The configuration path under this type is H7. In this type of configuration path, fiscal investment, economic development, and financial development emerge as core conditions. The factors at the environmental and organizational levels are all closely related to funding, which underscores the significance of financial support for the development of the digital economy.
H7. (Technological Innovation*Fiscal Investment*~Policy Support * Economic Development * Industrial Structure * Financial Development) For cities that belong to this type of path, despite the relatively limited policy support provided by local governments for digital economy development, the robust development of the regional economy and financial industry, coupled with the government’s financial support for the technology sector, have offered solid financial backing for the growth of the regional digital economy.
(4) Technology-Funding Type. The configuration path under this type is H8. In this type of configuration path, technological innovation, human capital, fiscal investment, and economic development emerge as core conditions. The technological aspects are relatively excellent, supported by significant financial investment from local governments and favorable economic development conditions, enabling the city’s digital economy to achieve impressive results.
H8. (Technological Innovation*Human Capital*Fiscal Investment*Economic Development * ~Industrial Structure) For cities that belong to this type of path, although they have a relatively poor industrial structure, they have a solid technological foundation. Additionally, the local government invests significantly in fiscal spending for technological innovation, providing strong momentum for the development of the city’s digital economy. Furthermore, a favorable economic development level offers a good platform for the development of the regional digital economy, thereby continuously enhancing the level of digital economy development in cities of this path.
4.5. Heterogeneity Analysis of Configuration Paths
After exploring the development paths of the digital economy in various cities from a configuration perspective, significant differences in the development paths of China’s digital economy were observed. Therefore, this article will continue to be grounded in the configuration pathway of a high-level digital economy, incorporating the analysis results of the bottleneck level of NCA’s singular necessary condition, along with the actual situation and inherent conditions of digital economy development in each respective city. The objective is to delve into the reasons behind the heterogeneity in digital economy development across these cities.
(1) Balanced Configuration Path. In this type of configuration path, there exists a certain substitution relationship between H2 and H3, specifically, a substitution relationship between the two antecedent variables of human capital at the technological level and financial development at the environmental level. As indicated by the results of the NCA necessary condition analysis, the necessity degree for human capital and financial development in cities with a moderate level of digital economy development is relatively low. This suggests that in cities with moderate development, the impact of human capital and financial development on the development of the regional digital economy is limited, which to some extent confirms the substitution relationship between fiscal investment and policy support.
(2) Talent-Funding Type Configuration Path. In this type of configuration path, there is a substitution effect between policy support in Path H4 and industrial structure in Path H5. Taking Wuhan, a city belonging to the talent-funding type configuration path, and Guangdong, a city belonging to the balanced configuration path, as examples for comparison, Wuhan has been increasing its attraction to technical talents in recent years. Leveraging its advantageous educational resources, Wuhan has accumulated a large pool of talents in the field of technological innovation. The “Policies of Wuhan to Support the Accelerated Development of the Digital Economy” released in 2022 further underscores the need to enhance support for digital economy talents. Wuhan encourages universities, research institutions, leading and backbone enterprises, as well as new R&D institutions, to recruit talents in the field of digital economy. Qualified talents will be given priority in being admitted to talent programs and will enjoy corresponding policy incentives. Furthermore, Wuhan supports key universities in strengthening the development of emerging disciplines in the digital economy, optimizing professional structures and teacher allocation, and enhancing the cultivation of interdisciplinary talents. By deepening industry–education integration and school–enterprise cooperation, Wuhan has established a number of digital economy industry–education integration alliances and talent cultivation bases. Through talent accumulation, a solid technical foundation has been laid for the development of Wuhan’s digital economy. Unlike Wuhan, which leverages its regional educational resources to vigorously stockpile scientific and technological talents, Guangdong promotes the healthy and efficient development of the city’s digital economy through policies related to the digital economy. On 1 June 2022, the first local regulation “Guangzhou Digital Economy Promotion Regulations” went into effect. The regulations depict a comprehensive blueprint for the development of Guangzhou’s digital economy, marking an important achievement in strengthening legislation in emerging fields for Guangzhou and providing strong legal protection for the city’s comprehensive construction of a digital economy-leading city. Sustainable development of the digital economy relies on supporting policies in areas such as finance, finance, talents, and intellectual property rights. The “Regulations” provide detailed implementation and norms for various aspects, including implementing financial and land support measures, strengthening talent introduction and cultivation, and establishing open and transparent market access and operational rules.
(3) Funding-Oriented Configuration Path. This type of configuration path is characterized by the presence of fiscal investment, economic development, and financial development as core conditions, all of which are closely related to funding. As indicated by the results of the NCA bottleneck level test, under the condition of high digital economy development, fiscal investment, economic development, and financial development all need to meet a relatively high level, far exceeding other factors. This finding confirms that the support of relevant funding is crucial for regions to make significant progress in digital economy development.
(4) Technology-Funding Oriented Configuration Path. Unlike the funding-oriented configuration path, this type of path emphasizes technological innovation and human capital at the technological level as core conditions. This reflects the importance of a technological foundation for digital economy development. A strong capacity for digital economy innovation and a robust pool of technological talents can provide a continuous source of development momentum for regional digital economy growth.
In summary, there is significant heterogeneity in the development of China’s urban digital economy. The most prominent factors causing differences in the level of digital economy development are economic development, technological innovation, and human capital. Among them, the differences between developed regions of the digital economy mainly stem from fiscal investment, while the differences between underdeveloped regions and developed regions of the digital economy mainly come from technological aspects and economic development. Analysis of the above configuration path results indicates that the urban scale is the foundation for the development of the urban digital economy and one of the core factors causing differences in the level of digital economy development among cities. The level of digital economy development in cities of different sizes shows a trend of steady improvement, but the absolute differences between cities have expanded [
30].
4.6. Further Analysis
Based on the “Notice on Adjusting the Criteria for Urban Size Classification” issued by the State Council of China in 2014, this article categorizes 227 cities into three size groups: megacities and megalopolises, large cities, and small and medium-sized cities. By exploring the heterogeneity of the configuration paths for digital economy development in different cities based on their size, this article aims to provide a reference for cities of different sizes to develop their digital economies.
As shown in
Table 7, the paths of digital economy development among megacities and megalopolises in China are not uniform. Both technological innovation and fiscal investment emerge as core conditions in all the paths leading to a high level of digital economy development in these cities. This suggests that for megacities and megalopolises, when the local digital economy reaches a high level of development, significant fiscal investment in the field of technology ensures that the region has sufficient funds to build digital infrastructure, laying a solid foundation for the further development of the digital economy. Simultaneously, strong technological innovation capabilities provide a continuous endogenous driving force for the development of the regional digital economy.
The results in
Table 7 regarding the configuration of the digital economy in large cities reveal interesting patterns. In configuration path V1, technological innovation, fiscal investment, and economic development emerge as key conditions, similar to the paths observed in megacities and megalopolises. However, what distinguishes Xiamen from these larger cities is its robust economic development, which contributes significantly to its relatively advanced digital economy. This mutual reinforcement underscores the crucial role of funding in driving digital economy growth.
In configuration path V2, technological innovation, human capital, fiscal investment, and financial development take center stage. Unlike V1, cities following this path leverage their strengths in talent and finance to fuel the development of their digital economies. This approach demonstrates the diverse strategies that cities can adopt to nurture their digital economies, tailored to their unique resources and capabilities.