4.3. Spatial Autocorrelation Analysis of Urban Carbon Productivity Within the Yangtze River Economic Belt
Spatial autocorrelation analysis reveals the spatial interdependence among geographical elements. This study quantifies the spatial agglomeration characteristics and heterogeneous patterns of UCP within the YREB through the calculation of the Global Moran’s I index and the analysis of local spatial association patterns (
Table A1 and
Table A2, and
Figure 4).
The Global Moran’s index is employed to quantify the extent of spatial association in UCP throughout the entire study area. In 2010, the Global Moran’s index for UCP in the YREB stood at 0.3014, which implies that at the onset of the study period, UCP already demonstrated significant positive spatial autocorrelation. This was characterized by the initial emergence of club clustering, where high-value areas were adjacent to high-value areas and low-value areas to low-value areas. From 2010 to 2020, the Global Moran’s index increased to 0.3597. Despite a substantial increase in the overall UCP levels over the past decade, the spatial Matthew Effect did not diminish but instead intensified. This indicates that the radiating and driving capacity of core high-productivity areas has widened the gap with the surrounding regions, or that the catch-up effect within the mid- and upper reaches has yet to overcome the existing spatial inertia, leading to increasingly close similarities in carbon productivity among geographically neighboring cities. Consequently, the entire economic belt exhibits a progressively more prominent pattern of spatial polarization.
The Local Indicators of Spatial Association (LISA) disclose heterogeneous clustering patterns of UCP at the local scale. In 2010, extensive contiguous areas characterized by significant low-low clusters were distributed across ecologically fragile or economically underdeveloped regions, such as the Yunnan-Guizhou Plateau in the upstream region. This “low-value club” constituted the UCP depression zones within the YREB at that time, indicating that these areas were restricted by geographical conditions, infrastructure, and industrial structures, leading to overall inefficient carbon utilization. Owing to the absence of effective regional collaboration, they were caught in a pronounced negative spatial autocorrelation inertia. By 2020, significant high-high clusters were mainly concentrated in the downstream Yangtze River Delta urban agglomeration and the core areas of the upstream Chengdu-Chongqing agglomerations. Capitalizing on strong economic density, advanced technological innovation, and a comprehensive industrial chain, the Yangtze River Delta not only attained high carbon productivity on its own but also potentially promoted coordinated development among neighboring cities through spatial spillover effects, establishing a stable “high carbon productivity club.” Meanwhile, the Chengdu-Chongqing agglomerations, acting as a core driving force for Western China’s development strategy, achieved a significant improvement in regional carbon productivity by promoting internal industrial synergy and resource integration while accepting industrial relocation from eastern regions.
In the analysis of local spatial association, high-low outliers are defined as “spatial enclaves” in which a city possesses a relatively high UCP while being surrounded by neighboring cities with low UCP. The Wuhan metropolitan area demonstrates a distinct high-low outlier pattern. The central urban area of Wuhan is highly concentrated with high-value-added and low-energy-consuming industries, including optoelectronics, information technology, automotive manufacturing, and components. Conversely, the surrounding cities mainly accommodate heavy and chemical industries such as steel, petrochemicals, and building materials, or are located at the lower end of the industrial value chains. This asymmetric vertical industrial division leads to consistently high carbon emission intensities in the surrounding cities. Even with economic growth, it remains challenging to improve their carbon productivity, thus creating a remarkable “high–low” contrast with Wuhan in the spatial aspect.
4.4. Factors Influencing Urban Carbon Productivity in the Yangtze River Economic Belt and Their Spatial Spillover Effects
The spatial economic model employed in this study encompasses 15 explanatory variables across four dimensions: socioeconomic development, energy and innovation, digital development, and urban form. The results of descriptive statistics and spatial autocorrelation tests (
Table A1 and
Table A2) indicate that the means of most explanatory variables witnessed a significant increase from 2010 to 2020, which reflects the rapid regional development in urbanization, industrial structure upgrading, technological innovation, and digitalization. The Moran’s index for key variables exhibited a significantly positive value in most years, which indicates that there are strong spatial clustering characteristics among these socioeconomic and spatial factors (
Table A1 and
Table A2). This statistically validates the necessity of employing spatial econometric models to capture complex spatial spillover effects. To conduct an in-depth investigation into the driving mechanisms underlying the spatiotemporal evolution of UCP in the YREB, through a comparison of log-likelihood, adjusted R
2 and Akaike’s Information Criterion (AIC), it becomes apparent that among the three models, the SDM offers the best fit (
Table A3 and
Table A4). Consequently, this study employs the SDM for empirical analysis (
Table A5 and
Table A6). An inverse distance matrix is adopted in the SDM. In addition, the K-nearest neighbor matrix is added to re-estimate the model (
Table A7 and
Table A8). Additionally, we further exclude economically developed cities, including Shanghai, Chongqing, Wuhan, Chengdu, Hangzhou, and Nanjing, as well as less developed cities such as Zhangjiajie, Lijiang, Ya’an, Lincang, Bazhong, and Ziyang, and re-estimate the SDM. After excluding several cities, the main results remain qualitatively unchanged, suggesting that our findings are not driven by a few influential observations (
Table A7 and
Table A8). The mechanisms through which diverse factors impact UCP, along with their evolutionary characteristics from 2010 to 2020, are elucidated below based on the effect decomposition results from SDM (direct effects, indirect/spatial spillover effects) (
Table 2 and
Table 3).
- (1)
Socioeconomic Development: Coexistence of Structural Optimization and Competitive Effects.
Advanced industrial structure (AIS) stands as the most robust socioeconomic factor propelling the improvement of UCP. Its direct effect was notably positive in both 2010 and 2020, and its spatial spillover effect also turned significantly positive in 2020 (0.475 ***). This implies that the expansion of a city’s service sector not only directly boosts local UCP but also subsequently generates positive synergistic impacts on neighboring regions through industrial linkages and knowledge spillovers. Conversely, foreign trade (FTR) exhibited a significant negative direct effect in 2020, along with a non-significant yet negative spatial spillover effect. This suggests that in the new context of globalization, excessive dependence on foreign trade may trap cities in low-to mid-end positions within global value chains, thus restricting local green transformation and exerting competitive pressures on surrounding areas. The spatial spillover effect of government intervention (GPBE) is significantly negative in 2020 (−1.40), a pattern consistent with inter-jurisdictional competition for green investments, whereby local governments’ fiscal behaviors may impose negative externalities on neighboring regions. The direct effect remains positive, suggesting that local green investments are effective within the city itself.
- (2)
Energy and Innovation: Core Constraints and Fundamental Drivers.
Total electricity consumption (TEC) stands as the most stable restraining factor for UCP among all variables. Over the two-year period, both its direct and indirect effects are significantly negative. This clearly demonstrates that reducing energy intensity is the fundamental prerequisite for enhancing UCP. The impact mechanism of R&D expenditure (RDE) has experienced a profound transformation. In 2010, both its direct effect (1.46) and spatial spillover effect (2.37) were significantly positive, which reflects the extensive technological spillover benefits associated with early-stage R&D expenditure. By 2020, although the direct effect remained positive, its significance had diminished. Meanwhile, the spatial spillover effect increased substantially (3.19). This implies that generalized R&D expenditure contributes less marginally to local innovation, but the knowledge generated currently plays an unprecedentedly important role in regional flow and reintegration. In contrast, green technological innovation (GPG) exhibited a significant and robust direct effect in 2020 (0.702), although its spatial spillover effect was not significant. This reveals a key mechanism: the driving force behind UCP improvement has shifted from “generalized R&D expenditure” to “targeted green innovation.” However, the diffusion of green knowledge faces higher barriers, showing strong localization and lacking an effective regional spillover network.
- (3)
Digital Development: Novel Drivers and Governance Spillovers.
Digitalization has emerged as a novel driving force that shapes urban development models. This study investigates the dynamic and intricate mechanisms by which digital finance and digital governance impact urban UCP. In 2010, the direct effect of digital finance (DFIN) was negligible (0.149), yet its spatial spillover effect was significantly positive (0.673 **). This suggests that in the initial stages of digital financial development, its primary function was to break down geographical barriers, enabling the inclusive flow and reallocation of capital across regions. The expansion of digital financial services in one region could readily benefit residents and businesses in neighboring areas by alleviating financing constraints and supporting the green transitions of small enterprises, thus generating significant positive regional spillovers, although the direct local impact remained restricted. By 2020, the direct effect of digital finance had become significantly positive (0.357 *), indicating that it had been deeply integrated into the local economy by improving access to green credit and supporting green consumption choices, directly promoting local low-carbon economic activities. Nevertheless, its spatial spillover effect became negligible (−0.124). This implies that as the digital financial market reached maturity, the network effects of its services may have increasingly led to within-platform competition, weakening cross-regional synergies and even resulting in mild competitive tensions among cities regarding digital financial resources and users, ultimately causing the positive spillovers to disappear.
The impact of digital governance (DGOV), as represented by fiscal transparency, reflects the evolution from local management tools to regional collaborative infrastructure. In 2010, neither the local effect nor the spatial effect of digital governance was significant. In its initial stages, digital governance probably concentrated more on enhancing internal government efficiency or ensuring public access to information, without yet effectively transforming into a crucial governance capability that influences economic carbon efficiency or establishing cross-regional governance coordination. By 2020, the spatial spillover effect of digital governance is significantly positive (0.072 *), while the direct effect is not. This is consistent with the notion that digital governance improvements in one city may facilitate regional coordination—possibly through reduced information asymmetries and improved policy predictability—rather than directly boosting local carbon productivity. However, alternative interpretations cannot be ruled out. For instance, transparent fiscal information reduces policy uncertainty for enterprises investing in neighboring cities, while standardized digital government platforms facilitate cross-city business operations. These factors have a positive influence on the decision-making of out-of-town enterprises and promote regional industrial chain collaboration, thereby indirectly enhancing carbon productivity in surrounding cities through improved regional governance effectiveness, thus creating a positive cross-regional externality associated with good governance.
- (4)
Urban Form: Local Optimization and Complex Spillover Effects.
Urban form acts as the physical medium for socioeconomic activities. It significantly impacts UCP via its structural features, which have an influence on energy consumption, transportation patterns, industrial distribution, and ecological functions. This research employs a series of landscape pattern indices to quantitatively analyze the local impacts and spatial spillovers of spatial form on UCP, concentrating on four aspects: urban sprawl, shape complexity, compactness, and connectivity.
Urban sprawl (LPI) exhibits a pattern consistent with a “double curse”—negative direct and indirect effects—suggesting that dispersed land development may generate adverse spillover effects on both the city itself and its neighbors. In 2020, the negative spatial spillover (−0.606 **) is indicative of potential cross-boundary cost shifting or regional resource competition, though causal confirmation requires further investigation. On one hand, the unregulated expansion of urban land directly impairs local intensive development efficiency, possibly because of increased commuting distances, decreased infrastructure utilization efficiency, and encroachment on ecological spaces. On the other hand, the sprawling expansion of a city generates substantial negative spatial externalities for neighboring areas. The transmission mechanisms may include cross-border cost shifting, which involves transferring energy-intensive industries or transportation burdens to administrative boundaries; regional resource competition, which intensifies disputes over land, water, and other resources, thus disrupting regional ecological security patterns; and development model lock-in, which creates a negative example of extensive growth for surrounding cities. This finding partially explains, from a mechanistic perspective, why in LISA analysis we observe prominent “high-low outliers,” such as those in the Wuhan metropolitan area, where a city maintains relatively high efficiency but is surrounded by inefficient neighbors, forming an isolated island. The sprawl of one or more core cities may continuously impede green transformation in their surrounding hinterlands. This also emphasizes the urgency of implementing cross-administrative, coordinated management of spatial form and land development intensity in highly interconnected regions such as the YREB.
Urban compactness (PLADJ) is associated with a “dual dividend” pattern—positive direct and indirect effects—consistent with the hypothesis that compact urban form generates positive spatial externalities, potentially through shared infrastructure and efficient land use. PLADJ exhibited a stable “dual promotion” effect in both 2010 and 2020. In 2020, both its direct effect (0.245 *) and spatial spillover effect (0.402 ***) were significantly positive. On one hand, compact and contiguous urban spatial structures effectively reduce commuting distances, enhance infrastructure sharing rates, and facilitate knowledge spillovers, thereby directly enhancing local carbon productivity. On the other hand, compact development within a city can generate positive spatial spillovers to neighboring cities by establishing efficient and complementary functional layouts, sharing regional infrastructure, and minimizing encroachment on regional ecological spaces, thus achieving coordinated efficiency across the region. This validates the positive network effects of the “compact city” concept at the regional scale.
Urban shape complexity (PARA_MN) demonstrated a significant positive direct effect in both 2010 and 2020, yet its spatial spillover effect remained persistently insignificant. The shape complexity represented by PARA_MN is not a straightforward indicator of being either good or bad. In the development context of the YREB, its continuous positive direct effect uncovers a more profound logic: during the transition from rapid expansion to quality enhancement, a certain level of spatial form complexity and diversity might be more beneficial for improving carbon productivity than highly uniform and monotonous land-use patterns. This complexity could result from adaptation to natural topography, preservation of historic neighborhoods, or deliberate ecological buffer designs. Nevertheless, the relatively diminished effect in 2020, as reflected by reduced coefficients and lower significance levels, implies that as urban development enters a new stage centered on stock renewal and high-quality growth, the efficiency gains solely derived from spatial form complexity may have reached their limit.
The transformation in urban connectivity (COHESION), from a notably negative spatial spillover effect to an insignificant one, profoundly reflects the underlying logic of spatial structural reorganization within the YREB. In 2010, COHESION demonstrated a significant negative spatial spillover (−0.581 *), indicating that during the initial phase of the analysis, an improvement in a city’s landscape connectivity did not substantially enhance local UCP. Instead, it exerted a remarkable inhibitory effect on the UCP of neighboring cities. This implies that early improvements in internal spatial connectivity within individual cities mainly served to strengthen local agglomeration economies, manifesting their effects primarily as siphoning or screening of resources and factors from surrounding areas, thereby generating negative spatial externalities. As the infrastructure networks within the YREB (especially high-speed rail and intercity railways) have gradually improved, and the coordinated development strategies for urban clusters have advanced, the internal landscape connectivity (COHESION) within individual cities has gradually become a standard characteristic, with its disparities decreasing (its standard deviation dropping from 1.3043 in 2010 to 1.0234 in 2020). At this juncture, regional efficiency is no longer determined by the connectivity level of any single city but rather by the overall network connectivity among all cities and the rational functional layout within this network. Consequently, the marginal influence of the COHESION indicator at the individual city level has declined, being replaced or overshadowed by larger-scale, inter-city functional connectivity. This suggests that as regional integration deepens, the marginal impact of internal city connectivity lessens, while the overall network connectivity of the region becomes increasingly crucial.
Table 3.
The direct effect and indirect effect of SDM.
Table 3.
The direct effect and indirect effect of SDM.
| Factors | Direct Effect | Z-Value | Indirect Effect | Z-Value |
|---|
| 2010 | | | | |
| X1 | −0.501 ** | −2.24 | −0.0251 | −0.21 |
| X2 | 0.353 ** | 2.31 | 0.260 * | 1.79 |
| X3 | −0.0285 | −0.32 | 0.135 | 0.87 |
| X4 | −0.327 | −1.54 | 0.573 | 1.58 |
| X5 | 0.82 * | 1.59 | 0.349 | 0.92 |
| X6 | −3.45 *** | −3.62 | −1.26 | −1.47 |
| X7 | 1.46 *** | 3.48 | 2.37 ** | 2.42 |
| X8 | 0.643 | 1.81 | 0.47 | 1.43 |
| X9 | 0.473 | 1.45 | −0.0936 | −0.51 |
| X10 | 0.149 | 0.98 | 0.673 ** | 2.27 |
| X11 | 0.11 | 0.76 | 0.02 | 0.18 |
| X12 | 0.184 | 1.23 | 0.519 | 1.76 |
| X13 | 0.503 ** | 2.35 | −0.181 | −1.12 |
| X14 | 0.747 *** | 3.21 | 0.182 | 1.15 |
| X15 | −0.376 | −1.51 | −0.581 * | −1.74 |
| 2020 | | | | |
| X1 | −0.123 | −0.87 | −0.154 | −0.72 |
| X2 | 0.280 *** | 3.12 | 0.475 *** | 3.47 |
| X3 | −0.203 | −1.24 | 0.478 ** | 2.23 |
| X4 | −0.262 ** | −2.17 | −0.07 | −0.39 |
| X5 | 0.657 * | 1.78 | −1.40 * | −1.72 |
| X6 | −1.19 ** | −2.31 | −1.80 *** | −3.25 |
| X7 | 0.875 * | 1.51 | 3.19 *** | 3.68 |
| X8 | 0.702 ** | 2.28 | −0.280 | −0.95 |
| X9 | −0.548 *** | −3.56 | −1.10 *** | −3.02 |
| X10 | 0.357 * | 1.75 | −0.124 * | 0.61 |
| X11 | −0.038 | −0.29 | 0.072 * | 0.43 |
| X12 | −0.410 * | −1.83 | −0.606 ** | −2.21 |
| X13 | 0.237 * | 1.7 | −0.149 | −0.81 |
| X14 | 0.245 * | 1.42 | 0.402 *** | 2.89 |
| X15 | 0.143 | 0.94 | −0.00376 | −0.03 |