4.1. Model Setting
Based on the aforementioned theoretical analysis, to investigate the direct effect of green finance on energy new-quality productivity, the following fixed-effects model is established:
where i and t denote province and year, respectively.
is the explained variable, representing the energy new-quality productivity level of the province
in year
.
is the core explanatory variable, indicating the green finance development level of the province
in year
.
denotes a series of control variables.
denotes province fixed effects.
denotes time fixed effects.
is the random error term.
represents the effects of green finance on energy new-quality productivity.
To examine the indirect effect of green finance on energy new-quality productivity and explore its inherent mechanisms, we draw on the methodological framework proposed by Wen et al. (2022) to construct the following mediation effect model [
49]:
where
stands for the set of mediating variables, specifically corresponding to the level of technological innovation and the latter to that of foreign trade openness.
captures the effect of green finance on the mediation variables.
and
represent the effects of green finance on energy new-quality productivity and the effect of the mediation variables on energy new-quality productivity, respectively.
To ascertain the possible nonlinear effect of green finance on new-quality energy productivity, we construct a threshold effect model following the approach proposed by Hansen (1999) [
50]:
is the threshold variable, representing the regional technological innovation level and the degree of openness to foreign trade. is the estimated threshold value. is the indicator function. and denote the impact of green finance on energy new-quality productivity within their respective threshold intervals.
4.2. Variable Selection and Data Description
(1) While embodying the core attributes of new-quality productivity, energy new-quality productivity possesses distinct characteristics such as intelligent management and control, clean low-carbon development, ecological restoration, and industrial synergy [
29]. Following the analytical framework proposed by Zhu et al. (2024), this study constructs a provincial-level evaluation indicator system around three core dimensions: new laborers, new means of labor, and new objects of labor [
51]. Taking into account data accessibility and availability, the system encompasses 8 secondary indicators and 11 tertiary indicators, with detailed definitions and measurement criteria presented in
Table 1. Finally, adopting the methodological approach proposed by Lu et al. (2024), this study employs the newly improved entropy weight-TOPSIS method to comprehensively measure the provincial-level energy new-quality productivity levels during the period 2012–2022 [
52].
It is worth noting that the evaluation system incorporates indicators such as energy intensity, Carbon Emission Intensity, and Energy Structure, which are conceptually interrelated as they all reflect facets of energy system performance. We acknowledge this interrelation and justify its concurrent inclusion for three reasons. First, each captures a distinct and policy-relevant dimension: Energy Intensity measures economic efficiency of energy use, Carbon Emission Intensity focuses on environmental climate impact, and Energy Structure describes the fundamental fuel mix. Omitting any would yield an incomplete picture of systemic transformation. Second, in the context of measuring new-quality productivity, these indicators collectively track the transition from a high-intensity, carbon-heavy, coal-reliant system towards a more efficient, low-carbon, and diversified one. Their co-movement is an essential characteristic of the qualitative shift we aim to measure. Third, the entropy weight method used for index construction inherently addresses information redundancy. It assigns lower weights to indicators that provide highly overlapping information, thereby mitigating the statistical concern of double-counting and ensuring that the composite index primarily reflects the unique variation from each dimension.
This study explores the spatiotemporal evolution characteristics of energy new-quality productivity by investigating its spatial patterns across Chinese provinces in 2012 and 2022, with relevant distributions illustrated in
Figure 2. Overall, China’s energy new-quality productivity exhibited a significant upward trajectory over the 10-year period. Spatially, the inter-regional development disparity between the eastern and western regions remained prominent, where eastern provinces generally attained higher energy new-quality productivity levels than those of the western regions.
To further explore the dynamic spatiotemporal evolution characteristics of energy new-quality productivity, this study employs Kernel Density Estimation to generate density distribution curves for the corresponding years, as presented in
Figure 3. In terms of the positional shift of the distribution, most provinces were concentrated in the low-value interval of energy new-quality productivity in 2012. Subsequently, the overall distribution continuously shifted rightward over time, signifying an overall enhancement of energy new-quality productivity levels across provinces.
Regarding peak characteristics, the 2012 distribution presented a single peak centered in the low-value range. By 2015, the main peak had shifted notably rightward, and a secondary peak began to take shape. By 2022, the density curve had further developed into a multi-peak pattern, with the main peak located in the medium-high value interval—mirroring the remarkable advancements achieved by a subset of provinces.
Simultaneously, the peak structure transformed from a single, symmetrical peak in 2012 to an asymmetric, multi-peak configuration by 2022. This transition reveals a growing divergence in energy new-quality productivity levels among regions and an increasingly prominent trend of provincial differentiation.
(2) This study’s core explanatory variable is green finance (GF). Drawing on the methodological framework proposed by Wu et al. (2024), an evaluation system for green finance development is established by incorporating eight secondary indicators across seven dimensions: green credit, green investment, green insurance, green bonds, green support, green funds, and green equity—with specific indicators and measurement criteria detailed in
Table 2 [
53]. Subsequently, the green finance development index is calculated via the entropy weight method.
Figure 4 and
Figure 5 depict, respectively, the spatial distribution characteristics of green finance development levels among Chinese provinces in 2012 and 2022, alongside the national temporal trend of the green finance development index during the 2012–2022 period. These visualizations are intended to intuitively demonstrate the overall advancement and inter-regional disparities in China’s green finance development from dual temporal and spatial perspectives, thereby providing an empirical context and visual support for the subsequent empirical analysis of its effect on ENQP.
Overall, China’s green finance attained remarkable advancement over the 10-year period, albeit with persistent and significant inter-regional disparities. In 2012, the vast majority of provinces demonstrated comparatively low green finance development levels, while only a small number of regions achieved moderate levels. In contrast, by 2022, most central and eastern provinces had progressed to higher development tiers. Notably, Zhejiang, Jiangsu, and Shanghai have consistently retained a leading stance across the country. Particularly in Shanghai—functioning as an international financial center—green finance has been deeply embedded in the local economic structure, acting as a pivotal driver of regional green transformation.
From a spatial dimension, the development of green finance presents a distinct spatial pattern characterized by “higher levels in the east and lower levels in the west.” Eastern coastal regions, leveraging their solid economic underpinnings, mature financial markets, and proactive policy incentives, have created a conducive ecosystem for the innovation and development of green finance. For instance, in Zhejiang Province, vibrant private capital vitality and a sophisticated financial service ecosystem have jointly propelled the continuous innovation of green financial products and services. In contrast, green finance development remains relatively underdeveloped in central and western provinces such as Xinjiang and Ningxia. Hampered by constraints including weaker economic fundamentals, underdeveloped financial infrastructures, and insufficient institutional cognition, these regions embarked on green finance development at a later stage with relatively sluggish progress.
(3) Mediating Variables. This study identifies two transmission mechanisms underlying the relationship: technological innovation and foreign trade openness. Drawing on the measurement framework proposed by Song et al. (2021), technological innovation is operationalized with two indicators: patent applications of industrial enterprises above designated size (PAG), which proxies for innovation quantity; and invention patent applications of such enterprises (IPAG), which captures innovation quality [
54], as invention patents require a higher threshold of novelty and undergo more stringent examination. While patent data are widely used and provide a standardized measure of innovative activity, we acknowledge that not all patents translate into commercialized technologies or process improvements. The use of both quantity and quality indicators aims to provide a more balanced perspective. Foreign trade openness (OPE) is measured as the ratio of total import and export value to regional GDP. This indicator reflects the role of green finance in promoting international market integration and accelerating cross-border technology diffusion.
(4) Threshold Variables. To ascertain the nonlinear effects of green finance on ENQP, this study identifies technological innovation (IPAG) and foreign trade openness (OPE) as threshold variables, adopting the same measurement approaches as specified earlier.
(5) Control Variables. To mitigate potential endogeneity and enhance the robustness of estimation results, this study incorporates the following control variables with measurements aligned with academic conventions and prior literature: Industrial structure (IS), proxied by the share of the tertiary industry in regional GDP to reflect the structural upgrading level of the regional economy; Human capital level (HUM), operationalized as the ratio of college-educated individuals to the total regional population to capture the stock of high-quality human capital; Government intervention (GOV), measured as the ratio of local fiscal revenue to regional GDP to indicate the extent of government participation in economic activities; Environmental regulation (ENV), calculated as the share of industrial pollution control investment in the value-added of the secondary industry to reflect the intensity of regional environmental governance; and Foreign direct investment (FDI), defined as the ratio of actually utilized FDI to regional GDP with reference to Sun and Zhou (2022) [
55].