ORIGINAL RESEARCH article

Front. Environ. Sci., 08 April 2025

Sec. Environmental Economics and Management

Volume 13 - 2025 | https://doi.org/10.3389/fenvs.2025.1542363

Can digital economy improve urban ecological development? evidence based on double machine learning analysis

  • 1. School of Business, Soochow University, Suzhou, China

  • 2. School of Business, Applied Technology College of Soochow University, Suzhou, China

  • 3. School of Digital Economics and Management, Suzhou City University, Suzhou, China

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Abstract

The role of digital economy (DE) in improving urban ecological development (UED) has attracted scholarly attention. Additionally, traditional causal inference models encounter several challenges, such as model misspecification and the “curse of dimensionality.” In response to these problems, the double machine learning method is applied to assess the effect of DE on UED. Leveraging data from 282 Chinese cities in 2006–2021, several valuable conclusions emerge. First, DE improves UED and positively contributes to ecological resilience and recovery. Second, promoting green innovation, enhancing environmental efficiency, and optimizing industrial structures are the pathways through which DE contributes to UED. Third, the influence of DE on UED displays heterogeneity. Based on the results, this work proposes relevant recommendations grounded in empirical research.

1 Introduction

Urban areas are undergoing rapid development, which is accompanied by a swift influx of urban populations. As forecasted by UN-Habitat (2022), 68% of the global population will have been residing in urban regions by 2050. The rapid expansion of urbanization undoubtedly brings substantial risks to urban ecosystems, including environmental pollution, soil erosion, biodiversity loss, and geological disasters (Song et al., 2020). In this context, China must advance its urban ecological development (UED) to counteract the detrimental consequences of urbanization (Korhonen and Seager, 2008; Dong et al., 2022). China has increasingly prioritized UED in recent years. Notably, the restoration and protection of urban ecosystems have been included in China’s 14th Five-Year Plan. However, urban ecosystems are confronted with numerous environmental pollution and ecological degradation issues (Zhang H. et al., 2023). Identifying new pathways for enhancing UED and fostering high-quality urban ecosystems is crucial.

Existing studies indicate a strong connection between digital economy (DE) and UED (Liu et al., 2024). However, several gaps remain in the existing research. First, the debate over the relationship between DE and UED is far from settled. On the one hand, DE has driven advancements in digital technologies (Farley and Voinov, 2016), thereby enhancing urban ecosystems’ capacity for risk prediction and management. On the other hand, digital technologies require substantial energy support, which may lead to a surge in energy consumption, thus posing new threats to urban ecosystems (Hills et al., 2018; Chatti and Majeed, 2022). Second, the use of the difference-in-differences model in existing research for estimating policy effects is prevalent. However, traditional causal inference models encounter several issues, such as model misspecification and the curse of dimensionality, thus leading to reduced accuracy and credibility in estimating policy effects (Ling et al., 2024). Third, studies analyzing the impact mechanisms of DE on UED are limited.

This study tackles the aforementioned issues by evaluating the effect of DE on UED using the double machine learning (DML) method. Furthermore, this research explores the roles played by green innovation, environmental efficiency, and industrial upgrade in enhancing UED through DE. Finally, the heterogeneity of the effect of DE on UED is examined by considering urban geographical location and resource endowment.

The main innovations of this study are outlined below. First, the relationship between DE and UED has been debated. This study focuses on urban areas in China and confirms that DE promotes UED, thus providing new evidence. Second, differing from the approach taken by Wu et al. (2024), the DML method is employed to estimate how DE influences UED. This method adeptly mitigates concerns regarding model misspecification and the curse of dimensionality, thereby resulting in improved accuracy of estimation outcomes. Third, this work dissects the mechanisms by which DE influences UED from three angles: environmental efficiency, industrial upgrade, and green innovation, which further expands on the findings of Zhang W. et al. (2023). Fourth, whereas previous studies have concentrated on examining regional heterogeneity, this study broadens the scope to investigate how DE affects UED under different resource conditions (Zhang et al., 2021).

2 Literature review and theoretical hypotheses

2.1 Literature review

As an important catalyst, DE influences various fields, such as corporate sustainability and green growth (Shahbaz et al., 2022; Wang et al., 2023; Stamopoulos et al., 2024). At present, considerable scholarly interest in the relationship between DE and UED has emerged. The existing literature on this topic presents two opposing perspectives.

One view in the literature is that DE enhances UED. This perspective argues that DE promotes the development of digital technologies that improve UED. For example, Luo et al. (2022) argued that DE enhances green development, thereby improving urban ecological recovery. Hao et al. (2023) concluded that DE contributes to environmental management and resource allocation, thus improving economic ecological efficiency. Liu et al. (2024) validated that DE possesses green value and promotes UED. Chen and Yao (2024) demonstrated that DE boosts carbon emission efficiency, thereby strengthening the resilience of urban ecosystems. According to Li and Zhou (2024), DE aids in lowering carbon emissions, which improves the resistance of urban ecosystems.

In contrast to these optimistic views, other researchers highlight the potentially negative effects of DE on UED. DE, which is driven by information and communication technologies (ICT), results in substantial energy use and increased CO2 emissions, thereby damaging urban ecosystems. For example, Lee and Brahmasrene (2014) investigated the connections among ICT, CO2 emissions, and economic growth. They concluded that although ICT facilitates economic growth, it also contributes to a rise in CO2 emissions. Additionally, Hills et al. (2018) took Fiji, South Pacific as a case and concluded that the adoption of innovative technologies has increased fossil fuel consumption. Asongu et al. (2018) used data from 44 countries from 2000 to 2012, which demonstrated that the rise in ICT utilization has contributed to high CO2 emissions per capita. In addition, Avom et al. (2020) took 21 sub-Saharan African nations as an example and investigated the effect of ICT usage on CO2 emissions. They found that ICT significantly increases CO2 emissions, thus indicating that it has exacerbated environmental issues in the region. Chatti and Majeed (2022) analyzed panel data from 94 countries between 1998 and 2016 and found that ICT damages environmental quality.

The aforementioned studies indicate that the relationship between DE and UED continues to be contentious. Hence, the current study applies the DML method to assess the impact of DE on UED, thus offering new empirical evidence to inform this discussion.

2.2 Theoretical hypotheses

Promoting DE potentially bolsters UED (Herman and Oliver, 2023). First, DE contributes to enhancing ecological resistance. Digital technologies aid in establishing platforms for risk monitoring and early warning. These platforms enable cities to track unforeseen challenges swiftly and take proactive preventive actions, thereby boosting ecological resistance (Ghobakhloo, 2020). In parallel, DE can provide financial and technological support to facilitate the upgrading of urban ecological infrastructure, thereby enhancing the urban ecosystem’s ability to cope with risks (Guo D. et al., 2023). Second, DE contributes to enhancing ecological recovery. DE has enabled the integration of data with traditional production inputs, thereby transforming the production mode that involves high investment, low efficiency, and high pollution (Carlsson, 2004). The resulting increase in the total factor productivity has accelerated the restoration of urban ecosystems. Additionally, the emergence of numerous industries, such as smart agriculture, intelligent manufacturing, and digital finance, have eradicated a multitude of high-energy-consuming and highly polluting industries (Ran et al., 2023). This development has not only strengthened economic vitality but also propelled the progression of green economic growth. Accordingly, Hypothesis 1 is proposed.

Hypothesis 1DE significantly promotes UED.DE propels innovation and application of digital technologies within urban settings, guiding UED (Filiou et al., 2023). First, DE represents a form of green economy. Digital technologies contribute to the innovation of green technologies (Dian et al., 2024). Green innovation not only aids cities in refining their ecological monitoring systems but also fosters the utilization of clean energy, thus contributing to decreased pollutant emissions. Second, DE has facilitated the integration of data elements with traditional production factors. This integration enables precise resource allocation and has reduced resource waste and pollution emissions (Lange et al., 2020), thereby enhancing environmental efficiency (Yasmeen et al., 2020). Improvements in environmental efficiency result in the conservation of resources and reduction of pollution (Hao et al., 2023). Third, DE optimizes the industrial structure by fostering innovation in emerging industries and accelerating the digitization of traditional sectors. Additionally, the shift of traditional industries from being labor intensive to becoming technology and knowledge intensive has transformed the energy consumption structure and resource utilization methods. As a result, urban energy consumption and environmental pollution have significantly decreased (Gu et al., 2023). Accordingly, Hypothesis 2 is proposed.

Hypothesis 2DE reinforces UED by promoting green innovation, enhancing environmental efficiency, and optimizing the industrial structure.The effect of DE on UED may differ depending on the characteristics of the city. In terms of geographic location, the eastern coastal areas demonstrate high economic prosperity and advanced infrastructure; thus, they offer a conducive environment for DE and result in a significant impact on UED (Xu and Cai, 2024). However, infrastructure development is comparatively deficient in the western inland areas; resources are scarce, which obstructs DE and diminishes their effectiveness in enhancing UED (Huang and Huang, 2024). In terms of resource endowment, DE can spur the emergence of industries in resource-based cities, thereby amplifying economic dynamism. However, the ongoing exploitation and utilization of resources aggravate the contradiction between ecological protection and economic development. Therefore, the positive impact of DE on UED in resource-based cities is low or even insignificant. Nonresource-based cities have strong resilience because of few shocks or disruptions caused by resource exploitation. Leveraging DE to transform traditional infrastructure concurrently enhances resource utilization efficiency in nonresource-based cities, thereby effectively boosting UED (Lyu et al., 2024). Therefore, Hypothesis 3 is proposed.

Hypothesis 3 UED exhibits heterogeneous effects on DE.

3 Methodology

3.1 Model

Numerous factors (e.g., policy, economy, society, and technology) affect the process of DE promoting UED. Moreover, the relationship between influencing factors is always nonlinear. Traditional models, such as differences-in-differences and propensity score matching, cannot apply to multidimensional data and have limitations in dealing with the nonlinear relationships between variables (

Wen et al., 2024

). This study addresses these problems by applying DML to explore how DE affects UED (

Chernozhukov et al., 2018

) (

Figure 1

).

  • Step 1: The main regression model is constructed, as presented in Equation 1.

FIGURE 1

In

Equation 1

,

is an independent variable. If city

i

in year

t

implements DE, the value of

is 1. Otherwise, it is 0.

is a dependent variable, which represents UED in city

i

during year

t

represents the treatment coefficient,

represents a group of control variables that influence

through function

, and

is the error term.

  • Step 2: Machine learning algorithms are used for the first time.

The estimation of function can be obtained using machine learning algorithms (Equation 2).

The random forest (RF) algorithm is selected to estimate g because of the following reasons. First, compared with other algorithms, such as lasso and gradient boosting, RF is highly effective in handling high-dimensional data and has a strong ability to fit nonlinear relationships and feature interactions (Chernozhukov et al., 2018; Chen and Wang, 2024). Second, the superiority of RF in handling large datasets and complex relationships, particularly its high stability and accuracy during estimation, has been confirmed by previous research, (Wen et al., 2024).

Next, Equation 3 is further derived.

Thus, the estimate of the disposal coefficient, , is given by Equation 4.

In Equation 4, n represents the sample size. Although machine learning algorithms help reduce the variance of the estimator , they also cause regularization bias, which prevents from converging to .

This study accurately examines the bias of estimator by substituting Equation 1 into Equation 4, thus yielding Equation 5.

Next, Equation 5 is transformed into Equation 6.

In

Equation 6

,

is normally distributed with a mean of 0. However, in

, the convergence rate of

toward

is slow. As

n

approaches infinity,

b

also increases indefinitely. In addition,

has difficulty converging to

.

  • Step 3: The auxiliary regression model is constructed, as presented in Equation 7.

This work addresses these issues by formulating the following auxiliary regression:

In

Equation 7

,

affects the disposition variable via function

.

is the error term.

  • Step 4: The machine learning algorithm is used for the second time.

Similarly, the specific form of function is undisclosed. Its estimation can be obtained using a machine learning model (Equation 8).

The RF algorithm is applied to estimate function .

Next, Equation 9 is further derived.

Thus, the unbiased estimate of the disposal coefficient, , is derived, as shown in Equation 10.

Similarly, the estimation bias of estimator is further examined, as presented in Equation 11.

In Equation 11, a normally distributed with a mean of 0 and the convergence rates of to and to determine the convergence rate of b. This configuration results in a faster convergence rate for Equation 11 than for Equation 6. Therefore, is an unbiased estimate of .

Based on the DML, a significantly positive indicates that DE supports the development of UED, whereas a significantly negative implies that DE impedes UED.

3.2 Variables

3.2.1 Dependent variable

This study selects UED as the dependent variable (Zhang T. et al., 2023). The UED evaluation indicator system constructed includes two dimensions: ecological resistance (Y1) and ecological recovery (Y2). Table 1 displays the specific indicators of the evaluation framework for UED. In contrast to subjective assessment methodologies, the entropy method mitigates the bias introduced by subjective judgments (Wang H. et al., 2024). Hence, the entropy weight method is utilized to assess UED. Specifically, the extreme value method is employed to ensure indicator comparability followed by normalization using Equation 12. Subsequently, the entropy and coefficient of variation for the indicators are computed with Equation 13 and Equation 14, respectively. Finally, the weights of each indicator are obtained through Equation 15. The overall score of is calculated in combination with Equation 16.

TABLE 1

Tier 1Tier 2Tier 3Attribute
UEDEcological resistance (Y1)Volume of sulfur dioxide emission-
Volume of industrial particulate emission-
Population density+
Ecological recovery (Y2)Ratio of wastewater centralized treated of sewage work+
Domestic garbage harmless treatment rate+
Proportion of green space in built district+
Per capita green space+

UED evaluation indicator system.

Figure 2 shows the overall and regional UED levels of China from 2006 to 2021. From an overall perspective, China’s UED level experienced a significant upward trend throughout the observation period: this level rose from 4.8492 in 2006 to 6.1114 in 2021, which was a growth of 26.03%. This outcome suggests that China has made a remarkable achievement in the development of ecological civilization. Additionally, the UED levels in all four regions exhibited growth particularly in the central region, which recorded the highest growth rate at 29.11%. This growth may have resulted from the central region’s shift from a traditional resource-dependent economy to a diversified, green, and sustainable economy (Fu et al., 2024), which has enhanced the ecological resilience and recovery of urban areas.

FIGURE 2

3.2.2 Independent variable

DE refers to an economic mode that is driven by digital technologies, thus leveraging data and digital technologies to facilitate industrial upgrade and economic growth (Luo et al., 2022). A binary variable is constructed based on the implementation of the National Big Data Comprehensive Pilot Zone (BDPZ) policy to represent DE. This study selects the BDPZ policy for three reasons. First, existing measurement approaches, such as internet penetration and e-commerce transaction volume, have notable limitations and cannot comprehensively capture the multidimensional nature of the DE (Chen and Yao, 2024). By contrast, pilot policies accurately reflect the actual effects of digital development because they integrate the deployment of digital technologies with policy innovation (Wei et al., 2023). Second, adopting pilot policies as a measure of DE, combined with DML, effectively addresses endogeneity and estimation biases that are caused by omitted variables (Lyu et al., 2024). Third, several studies have similarly employed a binary variable that has been constructed from the BDPZ policy to assess DE, including those by Liu et al. (2024) and An et al. (2024).

3.2.3 Mechanism variables

This study investigates how green innovation (M1), environmental efficiency (M2), and industrial structure (M3) mediate the effects of DE on UED (Hao et al., 2023; Xu and Cai, 2024).

Green innovation (M1). The quantity of green patent applications is used to quantify M1. It represents innovation activities that focus on conserving resources, improving energy efficiency, and fostering sustainable development (Lin and Ma, 2022). Given that M1 accurately reflects the output of green innovation, it serves as an effective indicator for evaluating green innovation (Dian et al., 2024). A high value of this metric suggests a high degree of advancement in green innovation.

Environmental efficiency (M2). By adhering to the definition of the World Business Council for Sustainable Development, this study posits environmental efficiency as the process through which cities gradually diminish pollution while concurrently fostering economic growth and enhancing the wellbeing of their residents (Luo et al., 2022). The global super efficiency slacks-based measure (SBM), which incorporates undesirable outputs, is employed to evaluate environmental efficiency (Zhao X. et al., 2022). Building on prior research, this study selects several indicators, which are presented in Table 2.

TABLE 2

Tier 1Tier 2Explanation
InputCapitalTotal fixed-asset investment
LaborEmployees of unit at year-end
EnergyTotal energy consumption
LandUrban district area
WaterDaily water consumption per capita
Desirable outputEconomic outputGross regional product
Undesirable outputEnvironmental pollutionCarbon dioxide emissions

Input and output indicators.

Industrial upgrade (M3). The thriving of the tertiary sector marks a transition in economic growth from being predominantly driven by the secondary sector to being steered by the collaborative development of the secondary and tertiary sectors. Thus, the growth of the tertiary sector is utilized to evaluate industrial structural advancement (Zhao J. et al., 2022). M3 is assessed based on the share of the tertiary gross product in the gross regional product (GRP) (Cheng et al., 2018). An increase in M3 signifies a developed industrial structure.

3.2.4 Control variables

A range of control variables (X) are considered in this study for evaluation (Zhang H. et al., 2023; Lai et al., 2024): per capita GRP (X1), GRP growth rate (X2), secondary industry as percentage to GRP (X3), local expenditure as percentage to GRP (X4), loans and deposits of financial institutions as percentage to GRP (X5), number of industrial enterprises (X6), log value of urban district population (X7), total retail sales of consumer goods as percentage to GRP (X8), expenditure for education as percentage to local expenditure (X9), expenditure for science and technology as percentage to local expenditure (X10), number of students enrollment (X11), log value of highway passenger traffic (X12), log value of highway freight traffic (X13), road surface area per capita (X14), total import and export volume as a percentage of GDP (X15), and collections of public libraries (X16). Additionally, the quadratic term (X2) of all control variables is added to the model to enhance its accuracy.

3.3 Sample selection and data sources

In light of the policy implementation of the BDPZ, the sample is divided into a treatment group, which consists of 80 cities where pilot zones have been established, and a control group, which comprises all other cities. This study constructs a dataset with panel data from 282 prefecture-level cities in China in 2006–2021. The data for the indicators are primarily sourced from the China National Intellectual Property Administration and the City Statistical Yearbook. The descriptive statistics for all the variables are presented in Table 3.

TABLE 3

VariableNMeanSDMinMax
UED45125.63590.50084.15006.4864
M14512435.93531111.97771.00007474.0000
M245120.49580.17200.26001.0882
M345120.40720.10210.18810.7094
X1451245759.761732298.44516276.0000164000.0000
X245129.92174.3891−2.900020.2000
X3451246.728010.971918.140073.9200
X445120.18350.09390.06370.5815
X545122.32021.10260.88126.5029
X645126.56231.10503.93189.0561
X745124.16060.87902.57267.0480
X845120.36720.10280.12830.6643
X945120.17970.04080.08870.2847
X1045120.01500.01430.00120.0775
X1145123.89770.76201.75855.4121
X1245128.32191.06845.389111.1513
X1345128.94320.85846.756910.9023
X14451216.39567.06674.250037.9800
X15451213.75612.11108.623619.0780
X1645125.34241.27062.97048.9709

Descriptive statistics of variables.

4 Empirical analysis

4.1 Benchmark regression results

The results of the benchmark regression are shown in Table 4. Model 1 incorporates X and reveals that DE significantly promotes UED. Model 2 incorporates X and X2. The result of Model 2 maintains a significantly positive regression coefficient. This outcome implies that DE unlocks particular digital dividends, thus contributing to the enhancement of UED (Zhang W. et al., 2023). Therefore, H1 is supported. Models 3 to 6 examine the effects of DE from Y1 and Y2. The regression outcomes demonstrate that DE significantly enhances Y1 and Y2 at the 1% significance level, thus signifying its favorable impact on boosting resistance and recovery, which aligns with the theoretical insights of this research. DE can strengthen preventive measures against shocks or disturbances, thus alleviating their effects (Yang et al., 2023). Additionally, the digital dividends released by DE can facilitate urban ecological construction and foster green growth (Hao et al., 2023).

TABLE 4

VariablesUEDUEDY1Y1Y2Y2
DE0.0911***0.0955***0.0436***0.0439***0.0523***0.0507***
(0.0193)(0.0192)(0.0128)(0.0128)(0.0110)(0.0109)
XYesYesYesYesYesYes
X2NoYesNoYesNoYes
City FEYesYesYesYesYesYes
Year FEYesYesYesYesYesYes
Learning modelRFRFRFRFRFRF
k-folds555555
Sample size451245124512451245124512

Benchmark regression results.

Note: *, **, and *** show that the disposition coefficient is significant at the 10%, 5%, and 1% level, respectively. The sample applies to the following tables.

4.2 Mechanism analysis

Using the DML model, this section explores the effect of DE on the mediator variables (Table 5). The results show a statistically significant and positive regression coefficient. This finding suggests that DE contributes to promoting urban green innovation, enhancing environmental efficiency, and optimizing industrial structure (Gruber, 2019).

TABLE 5

VariablesM1M1M2M2M3M3
DE0.0083**0.0083**0.0249**0.0276***0.0055**0.0051**
(0.0037)(0.0036)(0.0098)(0.0099)(0.0024)(0.0024)
XYesYesYesYesYesYes
X2NoYesNoYesNoYes
City FEYesYesYesYesYesYes
Year FEYesYesYesYesYesYes
Learning modelRFRFRFRFRFRF
k-folds555555
Sample size451245124512451245124512

Regression results of DE on the mediating variables.

Furthermore, the causal mediation model is applied to analyze the mechanism of M1, M2, and M3 (Farbmacher et al., 2022). In this model, the indirect effect denotes the consequence of variations in mediator variable M while keeping the treatment variable DE fixed. The direct effect denotes the consequence of variations in treatment variable DE while keeping mediator variable M fixed. The treatment group is composed of 80 cities that have been adopting the BDPZ policy. Meanwhile, the control group contains the remaining cities. Table 6 presents the findings of the mechanism analysis. The total effects under diverse mediation routes are significantly positive. In the treatment group cities, the direct and indirect effects of all mediators are statistically significant. Cities that are strengthening DE utilize their remarkable advantages in technology and economic development to propel green innovation (Yan et al., 2023), improve urban environmental efficiency, and optimize economic industrial structure (Ghobakhloo and Fathi, 2021), thus consequently driving UED growth. This outcome supports H2. In the control group cities, the direct effects of M1, M2, and M3 are significantly positive. Moreover, the indirect effects of M1, M2, and M3 are all positive. However, only the indirect effect of M3 is statistically significant. The findings indicate that even in cities that are not strengthening DE, urban areas consistently endeavor to optimize their industrial structure (Cheng et al., 2018), thus fostering favorable environments and conditions for enhancing UED.

TABLE 6

VariablesTotaldir.treatdir.controlindir.treatindir.control
M10.1239***0.1217***0.1037***0.0202***0.0022
(0.0164)(0.0165)(0.0170)(0.0054)(0.0014)
M20.1286***0.1280***0.1143***0.0143***0.0006
(0.0164)(0.0164)(0.0169)(0.0050)(0.0006)
M30.1228***0.1175***0.1039***0.0189***0.0054***
(0.0164)(0.0166)(0.0164)(0.0060)(0.0016)

Mechanism analysis.

4.3 Robustness tests

4.3.1 DML robustness analysis

While the DML method offers valuable insights for causal inference, it also has inherent limitations. For instance, the sample split ratio in K-fold cross-validation and the choice of machine learning algorithms can influence the results. Therefore, this section performs DML robustness analysis using the following approach: (1) altering the sample splitting ratio (Models 1 to 2 in Table 7), (2) changing the machine learning algorithms (Models 3 to 4 in Table 7), and (3) adopting an interactive model (Models 5 in Table 7). The regression outcomes still reveal that DE significantly and positively influences UED.

TABLE 7

Variables1234567
UEDUEDUEDUEDUEDUEDUED
DE0.0879***0.0951***0.0932***0.3701***0.2964***0.4538**0.8112**
(0.0176)(0.0198)(0.0150)(0.0088)(0.0179)(0.2283)(0.3522)
XYesYesYesYesYesYesYes
X2YesYesYesYesYesYesYes
City FEYesYesYesYesYesYesYes
Year FEYesYesYesYesYesYesYes
Learning modelRFRFGradboostLassoRFRFRF
k-folds3855555
Sample size4512451245124512451245124512

DML Robustness analysis and endogenous analysis.

4.3.2 Endogenous analysis

The nonrandom selection of BDPZ gives rise to a potential endogeneity concern. This section employs a partial linear instrumental variable model to mitigate the endogeneity problem (Chernozhukov et al., 2018).

In Equation 17 and Equation 18, refers to the instrumental variable for DE. This study constructs two instrumental variables (Guo B. et al., 2023). The first is the interaction term between the historical number of broadband internet access ports and the total volume of postal and telecommunications services in 1984 (IV1), and the second is the interaction term between the historical number of broadband internet access ports and terrain undulation (IV2). As shown in Model 6 and Model 7 of Table 7, DE promotes UED, thus verifying the robustness of findings.

4.3.3 Other robustness analysis

The following approaches are utilized to assess the robustness of baseline regression: (1) excluding special city samples (Model 1 in Table 8), (2) adjusting the time sample (Model 2 in Table 8), (3) considering the interaction effects of provinces and time (Model 3 in Table 8), and (4) excluding the influence of other parallel policies, such as SCP and BCP (Models 4 to 6 in Table 8). After retesting the effect of DE on UED using the aforementioned methods, the regression coefficients remain significantly positive.

TABLE 8

Variables123456
UEDUEDUEDUEDUEDUED
DE0.1012***0.0885***0.1215***0.0939***0.0922***0.0940***
(0.0194)(0.0191)(0.0296)(0.0194)(0.0193)(0.0195)
SCPYesYes
BCPYesYes
XYesYesYesYesYesYes
X2YesYesYesYesYesYes
City FEYesYesYesYesYesYes
Year FEYesYesYesYesYesYes
Learning modelRFRFRFRFRFRF
k-folds555555
Sample size444839484512451245124512

Other robustness analysis.

4.4 Heterogeneity analysis

According to the geographical locations of the cities, the sample is categorized into four regions, as depicted in Table 9. Accordingly, the influence of DE on UED remains positive across different significance levels. This outcome indicates that despite variations in geographical locations and economic development levels among cities, DE consistently enhances UED effectively. The northeast region exhibits a low significance level in the relationship between DE and UED. This trend implies that the northeastern region must focus on the extensive development of DE to strengthen UED.

TABLE 9

VariablesEastCentralNortheastWest
1234
UEDUEDUEDUED
DE0.1222***0.1278***0.0805*0.2520***
(0.0342)(0.0440)(0.0481)(0.0469)
XYesYesYesYes
X2YesYesYesYes
City FEYesYesYesYes
Year FEYesYesYesYes
Learning modelRFRFRFRF
k-folds5555
Sample size137612805281328

Regional heterogeneity analysis.

According to resource endowment, the sample cities are categorized into resource-based and nonresource-based cities. The results reveal that DE in nonresource-based cities significantly enhances UED (Table 10). Additionally, resource-based cities are further subdivided into growth, maturity, decline, and regeneration types. As shown in Table 10, although the regression coefficients of DE for the four types are positive, none of them are statistically significant. This outcome implies that resource-based cities must prioritize DE, which can help optimize their industrial structure, reduce reliance on traditional resource industries, and strengthen UED. The aforementioned conclusions confirm H3.

TABLE 10

VariablesGrowingMatureDecliningRegeneratingNonre
12345
UEDUEDUEDUEDUED
DE0.04210.05190.09560.11090.0913***
(0.1257)(0.0519)(0.0772)(0.0737)(0.0197)
XYesYesYesYesYes
X2YesYesYesYesYes
City FEYesYesYesYesYes
Year FEYesYesYesYesYes
Learning modelRFRFRFRFRF
k-folds55555
Sample size22410083682402672

Resource heterogeneity analysis.

5 Discussion

5.1 Discussion of findings

First, DE contributes to advancing UED. This conclusion is in agreement with Wang T. et al. (2024), who proposed that DE reduces energy use and pollution via intelligent systems, thus contributing to ecological sustainability. Numerous scholars have demonstrated that the digital dividends unleashed by DE can effectively enhance the construction of smart urban ecosystems and improve ecological resilience (Liu et al., 2024). Moreover, DE, which is characterized by low pollution and low energy consumption, has fostered green urban growth and enhanced ecological recovery (Ma et al., 2024). However, some researchers hold differing opinions by arguing that DE can obstruct UED (Avom et al., 2020). This outcome may be a result of potential barriers in implementing digital strategies, such as insufficient funding, infrastructure disparities, and policy differences (Chatti and Majeed, 2022). The effect of DE is constrained by these barriers. Therefore, this study must address these challenges strategically to maximize DE’s role in enhancing UED.

Second, this study finds that DE can promote UED by improving environmental efficiency, driving green innovation, and upgrading industrial structures. DE promotes the application of digital technologies in green innovation, which enhances green innovation output and alleviates environmental burdens. Qiu et al. (2025) concluded that DE promotes green innovation, thus further confirming this conclusion. DE has the potential to optimize production processes and enhance energy management efficiency, as confirmed by Luo et al. (2022) and Wu et al. (2024). Furthermore, DE advances the green and digital transformation of traditional industries, which facilitates industrial structural upgrading and drives UED. Ding and Luo (2024) asserted that DE accelerates the low-carbon and modern transformation of industries through technological and business model innovations, thus aligning with the findings of this study.

Third, this work demonstrates that UED exhibits heterogeneous effects on DE. In terms of geographical location, the northeast region exhibits relatively low significance in the positive effect of DE on UED. This outcome might be a result of enduring ecological issues, such as pollution emissions, which stem from the region’s historical role as an old industrial stronghold, thereby counteracting some of the positive effects of DE (Xu and Cai, 2024). In terms of resource endowment, the beneficial effect of DE on UED is statistically insignificant in resource-based cities. The underlying reasons are outlined below. One is the heavy reliance on traditional resources, which restricts the effectiveness of DE in resource-based cities during their growth, maturity, and decline phases (Wang et al., 2022). Additionally, resource regeneration cities undergo considerable instability during their transformation phase, which causes difficulty for DE to drive UED effectively (Lyu et al., 2024).

5.2 Theoretical implications

First, although extensive examination has been conducted on the relationship between DE and UED, the debate on their connection remains inconclusive. Some studies contend that DE boosts urban ecosystem resilience by advancing digital technologies, thus enhancing risk prediction and management (Farley and Voinov, 2016). Conversely, other studies highlight the energy demands of DE as a potential emerging threat to urban ecosystems (Chatti and Majeed, 2022). This study focuses on urban areas in China to provide new empirical evidence that confirms the positive effect of DE on UED. Therefore, it offers strong theoretical support for the role of DE in promoting urban ecological sustainability.

Second, traditional causal inference models often suffer from several issues, such as model misspecification and the curse of dimensionality, which potentially lead to biased results (Wu et al., 2024; Chen and Wang, 2024). This study employs the DML method to explore the relationship between DE and UER. This approach not only extends the application of DML but also effectively addresses the issues in traditional methods, thus enhancing the accuracy and reliability of results.

Third, this study focuses on three key pathways, namely, green innovation, environmental efficiency, and industrial upgrading, to explore the mechanisms through which DE affects UED. This work examines the mechanisms from multiple perspectives, thus further extending the work of Zhang T. et al. (2023). Furthermore, this research examines the heterogeneous effects under different resource conditions particularly in resource-based cities. Thus, it contributes comprehensively to the theoretical framework.

5.3 Practical implications

Cities in China have effectively implemented environmental monitoring and risk prediction by fostering DE and intensifying the application of digital technologies. Therefore, these activities have promoted UED. This experience may offer a useful reference for other regions or countries that are working to enhance UED. Accordingly, the following practical implications are presented.

First, digital policies should be enacted to maximize the potential of DE fully. Relevant authorities should establish a unified digital management platform for ecological environments, thus enhancing the capacity for risk prediction and environmental monitoring to bolster urban ecosystem resilience. In addition, the government should foster green and low-carbon economic growth and enhance urban ecological recovery. Cities also need to adopt digital governance measures to identify ecological issues accurately, which can enhance UED.

Second, policies should focus on the mechanisms through which green innovation, environmental efficiency, and industrial structure contribute to UED. The Chinese government should play an active role in establishing green innovation platforms and boosting investment in green innovation activities, thereby empowering green innovation. Meanwhile, industries with high pollution and energy consumption should establish monitoring platforms and resource management systems throughout the entire production process to improve resource efficiency. Cities should foster emerging industries and support agriculture, manufacturing, and other sectors in adopting digital transformation initiatives to achieve environmental sustainability.

Third, barriers must be overcome in implementing digital strategies, and regional differences must be bridged. Potential obstacles, including insufficient funds, infrastructure gaps, and regional policy inconsistencies, should be carefully considered. Governments at the local level must customize digital strategies based on their regional conditions and effectively coordinate resources, such as financial support and skilled labor. Emphasis should be placed on the northeast region and resource-based cities at various stages. Moreover, local governments should actively foster emerging industries in the northeast region. During the growth, maturity, and decline phases, resource-based cities should adjust their industrial frameworks. During the regeneration phase, the focus should shift toward improving environmental efficiency.

6 Conclusions and policy implications

This study uses data from 282 Chinese cities in 2006–2021 and utilizes the DML model to explore the effect of DE on UED, thus leading to the following conclusions. First, DE significantly enhances UED. DE contributes to the improvement of ecological resistance and ecological recovery of the urban ecological system. Second, DE enhances UED by fostering green innovation, enhancing environmental efficiency, and optimizing industrial structure. Third, UED exhibits heterogeneous effects on DE. In terms of geographic distribution, DE has a positive impact on UED across all four regions with different levels of significance. In terms of resource endowments, DE in nonresource-based cities promotes UED. However, the effect of DE on UED in resource-based cities is not statistically significant during the growth, maturity, decline, and rejuvenation stages.

This study also has several limitations. First, this research is based on 282 cities in China, thus making the conclusions particularly relevant to the improvement of UED in China. Future research should consider expanding the sample to include international cities to obtain a global perspective. Second, although this research considers mediating effects, moderating effects have not been explored. Future research can explore moderating factors, including policy interventions or social conditions, to understand how DE impacts UED.

Statements

Data availability statement

The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.

Author contributions

YJ: Conceptualization, Methodology, Writing–original draft, Writing–review and editing. LL: Conceptualization, Supervision, Writing–review and editing. YX: Conceptualization, Supervision, Writing–review and editing.

Funding

The author(s) declare that no financial support was received for the research and/or publication of this article.

Conflict of interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Generative AI statement

The author(s) declare that no Generative AI was used in the creation of this manuscript.

Publisher’s note

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.

References

  • 1

    AnQ.WangR.WangY.PavelK. (2024). The impact of the digital economy on sustainable development: evidence from China. Front. Environ. Sci.12, 1341471. 10.3389/fenvs.2024.1341471

  • 2

    AsonguS. A.Le RouxS.BiekpeN. (2018). Enhancing ICT for environmental sustainability in sub-Saharan Africa. Technol. Forecast. Soc. Change127, 209216. 10.1016/j.techfore.2017.09.022

  • 3

    AvomD.NkengfackH.FotioH. K.TotouomA. (2020). ICT and environmental quality in Sub-Saharan Africa: effects and transmission channels. Technol. Forecast. Soc. Change155, 120028. 10.1016/j.techfore.2020.120028

  • 4

    CarlssonB. (2004). The Digital Economy: what is new and what is not?Struct. Change Econ. Dyn.15 (3), 245264. 10.1016/j.strueco.2004.02.001

  • 5

    ChattiW.MajeedM. T. (2022). Information communication technology (ICT), smart urbanization, and environmental quality: evidence from a panel of developing and developed economies. J. Clean. Prod.366, 132925. 10.1016/j.jclepro.2022.132925

  • 6

    ChenW.YaoL. (2024). The impact of digital economy on carbon total factor productivity: a spatial analysis of major urban agglomerations in China. J. Environ. Manag.351, 119765. 10.1016/j.jenvman.2023.119765

  • 7

    ChenX.WangH. (2024). Do China’s ecological civilization advance demonstration zones inhibit fisheries' carbon emission intensity? A quasi-natural experiment using double machine learning and spatial difference-in-differences. J. Environ. Manag.370, 122682. 10.1016/j.jenvman.2024.122682

  • 8

    ChengZ.LiL.LiuJ. (2018). Industrial structure, technical progress and carbon intensity in China’s provinces. Renew. Sustain. Energy Rev.81, 29352946. 10.1016/j.rser.2017.06.103

  • 9

    ChernozhukovV.ChetverikovD.DemirerM.DufloE.HansenC.NeweyW.et al (2018). Double/debiased machine learning for treatment and structural parameters. Econom. J.21 (1), C1C68. 10.1111/ectj.12097

  • 10

    DianJ.SongT.LiS. (2024). Facilitating or inhibiting? Spatial effects of the digital economy affecting urban green technology innovation. Energy Econ.129, 107223. 10.1016/j.eneco.2023.107223

  • 11

    DingY.LuoQ. (2024). Polycentric spatial Structure, digital economy and urban green sustainable development. J. Clean. Prod.468, 143080. 10.1016/j.jclepro.2024.143080

  • 12

    DongF.LiY.LiK.ZhuJ.ZhengL. (2022). Can smart city construction improve urban ecological total factor energy efficiency in China? Fresh evidence from generalized synthetic control method. Energy241, 122909. 10.1016/j.energy.2021.122909

  • 13

    FarbmacherH.HuberM.LafférsL.LangenH.SpindlerM. (2022). Causal mediation analysis with double machine learning. Econom. J.25 (2), 277300. 10.1093/ectj/utac003

  • 14

    FarleyJ.VoinovA. (2016). Economics, socio-ecological resilience and ecosystem services. J. Environ. Manag.183, 389398. 10.1016/j.jenvman.2016.07.065

  • 15

    FiliouD.KesidouE.WuL. (2023). Are smart cities green? The role of environmental and digital policies for eco-innovation in China. World Dev.165, 106212. 10.1016/j.worlddev.2023.106212

  • 16

    FuS.LiuJ.WangJ.TianJ.LiX. (2024). Enhancing urban ecological resilience through integrated green technology progress: evidence from Chinese cities. Environ. Sci. Pollut. Res.31 (25), 3634936366. 10.1007/s11356-023-29451-3

  • 17

    GhobakhlooM. (2020). Industry 4.0, digitization, and opportunities for sustainability. J. Clean. Prod.252, 119869. 10.1016/j.jclepro.2019.119869

  • 18

    GhobakhlooM.FathiM. (2021). Industry 4.0 and opportunities for energy sustainability. J. Clean. Prod.295, 126427. 10.1016/j.jclepro.2021.126427

  • 19

    GruberH. (2019). Proposals for a digital industrial policy for Europe. Telecomm. Policy43 (2), 116127. 10.1016/j.telpol.2018.06.003

  • 20

    GuR.LiC.YangY.ZhangJ. (2023). The impact of industrial digital transformation on green development efficiency considering the threshold effect of regional collaborative innovation: evidence from the Beijing-Tianjin-Hebei urban agglomeration in China. J. Clean. Prod.420, 138345. 10.1016/j.jclepro.2023.138345

  • 21

    GuoB.WangY.ZhangH.LiangC.FengY.HuF. (2023b). Impact of the digital economy on high-quality urban economic development: evidence from Chinese cities. Econ. Modell.120, 106194. 10.1016/j.econmod.2023.106194

  • 22

    GuoD.QiF.WangR.LiL. (2023a). How does digital inclusive finance affect the ecological environment? Evidence from Chinese prefecture-level cities. J. Environ. Manag.342, 118158. 10.1016/j.jenvman.2023.118158

  • 23

    HaoX.WenS.XueY.WuH.HaoY. (2023). How to improve environment, resources and economic efficiency in the digital era?Resour. Policy80, 103198. 10.1016/j.resourpol.2022.103198

  • 24

    HermanP. R.OliverS. (2023). Trade, policy, and economic development in the digital economy. J. Dev. Econ.164, 103135. 10.1016/j.jdeveco.2023.103135

  • 25

    HillsJ. M.MichalenaE.ChalvatzisK. J. (2018). Innovative technology in the Pacific: building resilience for vulnerable communities. Technol. Forecast. Soc. Change129, 1626. 10.1016/j.techfore.2018.01.008

  • 26

    HuangD.HuangC. (2024). The impact of digital economy development on improving the ecological environment—an empirical analysis based on data from 30 provinces in China from 2012 to 2021. Sustain16 (16), 7176. 10.3390/su16167176

  • 27

    KorhonenJ.SeagerT. P. (2008). Beyond eco‐efficiency: a resilience perspective. Bus. Strat. Env.17 (7), 411419. 10.1002/bse.635

  • 28

    LaiA.LiZ.HuX.WangQ. (2024). Does digital economy improve city-level eco-efficiency in China?Econ. Anal. Policy81, 11981213. 10.1016/j.eap.2024.02.006

  • 29

    LangeS.PohlJ.SantariusT. (2020). Digitalization and energy consumption: does ICT reduce energy demand?Ecol. Econ.176, 106760. 10.1016/j.ecolecon.2020.106760

  • 30

    LeeJ. W.BrahmasreneT. (2014). ICT, CO2 emissions and economic growth: evidence from a panel of ASEAN. Glob. Econ. Rev.43 (2), 93109. 10.1080/1226508x.2014.917803

  • 31

    LiC.ZhouW. (2024). Can digital economy development contribute to urban carbon emission reduction? Empirical evidence from China. J. Environ. Manag.357, 120680. 10.1016/j.jenvman.2024.120680

  • 32

    LinB.MaR. (2022). Green technology innovations, urban innovation environment and CO2 emission reduction in China: fresh evidence from a partially linear functional-coefficient panel model. Technol. Forecast. Soc. Change176, 121434. 10.1016/j.techfore.2021.121434

  • 33

    LingS.JinS.WangH.ZhangZ.FengY. (2024). Transportation infrastructure upgrading and green development efficiency: empirical analysis with double machine learning method. J. Environ. Manag.358, 120922. 10.1016/j.jenvman.2024.120922

  • 34

    LiuY.XieY.ZhongK. (2024). Impact of digital economy on urban sustainable development: evidence from Chinese cities. Sustain. Dev.32 (1), 307324. 10.1002/sd.2656

  • 35

    LuoK.LiuY.ChenP. F.ZengM. (2022). Assessing the impact of digital economy on green development efficiency in the Yangtze River Economic Belt. Energy Econ.108, 105870. 10.1016/j.eneco.2022.106127

  • 36

    LyuY.XiaoX.ZhangJ. (2024). Does the digital economy enhance green total factor productivity in China? The evidence from a national big data comprehensive pilot zone. Struct. Change Econ. Dyn.69, 183196. 10.1016/j.strueco.2023.12.009

  • 37

    MaX.FengX.FuD.TongJ.JiM. (2024). How does the digital economy impact sustainable development? an empirical study from China. J. Clean. Prod.434, 140079. 10.1016/j.jclepro.2023.140079

  • 38

    QiuY.LiuW.WuJ. (2025). Digital economy and urban green innovation: from the perspective of environmental regulation. J. Environ. Plann. Manag.68 (2), 267289. 10.1080/09640568.2023.2244668

  • 39

    RanQ.YangX.YanH.XuY.CaoJ. (2023). Natural resource consumption and industrial green transformation: does the digital economy matter?Res. Policy81, 103396. 10.1016/j.resourpol.2023.103396

  • 40

    ShahbazM.WangJ.DongK.ZhaoJ. (2022). The impact of digital economy on energy transition across the globe: the mediating role of government governance. Renew. Sustain. Energy Rev.166, 112620. 10.1016/j.rser.2022.112620

  • 41

    SongS.LiuZ.HeC.LuW. (2020). Evaluating the effects of urban expansion on natural habitat quality by coupling localized shared socioeconomic pathways and the land use scenario dynamics-urban model. Ecol. Indic.112, 106071. 10.1016/j.ecolind.2020.106071

  • 42

    StamopoulosD.DimasP.SiokasG.SiokasE. (2024). Getting smart or going green? Quantifying the Smart City Industry’s economic impact and potential for sustainable growth. Cities144, 104612. 10.1016/j.cities.2023.104612

  • 43

    UN-Habitat (2022). World cities report: envisaging the future of cities. Nairobi: UN-Habitat.

  • 44

    WangH.PengG.DuH. (2024a). Digital economy development boosts urban resilience—evidence from China. Sci. Rep.14 (1), 2925. 10.1038/s41598-024-52191-4

  • 45

    WangK. L.PangS. Q.ZhangF. Q.MiaoZ.SunH. P. (2022). The impact assessment of smart city policy on urban green total-factor productivity: evidence from China. Environ. Impact Assess. Rev.94, 106756. 10.1016/j.eiar.2022.106756

  • 46

    WangT.WangD.ZengZ. (2024b). Research on the construction and measurement of digital governance level system of county rural areas in China—empirical analysis based on entropy weight TOPSIS model. Sustainability16 (11), 4374. 10.3390/su16114374

  • 47

    WangW.ZhangH.SunZ.WangL.ZhaoJ.WuF. (2023). Can digital policy improve corporate sustainability? Empirical evidence from China’s national comprehensive big data pilot zones. Telecomm. Policy47 (9), 102617. 10.1016/j.telpol.2023.102617

  • 48

    WeiX.JiangF.YangL. (2023). Does digital dividend matter in China’s green low-carbon development: environmental impact assessment of the big data comprehensive pilot zones policy. Environ. Impact Assess. Rev.101, 107143. 10.1016/j.eiar.2023.107143

  • 49

    WenH.HuK.NghiemX. H.AcheampongA. O. (2024). Urban climate adaptability and green total-factor productivity: evidence from double dual machine learning and differences-in-differences techniques. J. Environ. Manag.350, 119588. 10.1016/j.jenvman.2023.119588

  • 50

    WuM.GuoM.XuJ. (2024). The influence of smart city policy on urban green energy efficiency—a quasi-natural experiment based on 196 cities. J. Clean. Prod.449, 141818. 10.1016/j.jclepro.2024.141818

  • 51

    XuX.CaiH. (2024). The impacts on regional “resource curse” by digital economy: based on panel data analysis of 262 resource-based cities in China. Res. Policy95, 105152. 10.1016/j.resourpol.2024.105152

  • 52

    YanZ.SunZ.ShiR.ZhaoM. (2023). Smart city and green development: empirical evidence from the perspective of green technological innovation. Technol. Forecast. Soc. Change191, 122507. 10.1016/j.techfore.2023.122507

  • 53

    YangY.ChenW.GuR. (2023). How does digital infrastructure affect industrial eco-efficiency? Considering the threshold effect of regional collaborative innovation. J. Clean. Prod.427, 139248. 10.1016/j.jclepro.2023.139248

  • 54

    YasmeenH.TanQ.ZameerH.TanJ.NawazK. (2020). Exploring the impact of technological innovation, environmental regulations and urbanization on ecological efficiency of China in the context of COP21. J. Environ. Manag.274, 111210. 10.1016/j.jenvman.2020.111210

  • 55

    ZhangH.LiuY.LiX.FengR.GongY.JiangY.et al (2023a). Combing remote sensing information entropy and machine learning for ecological environment assessment of Hefei-Nanjing-Hangzhou region, China. J. Environ. Manag.325, 116533. 10.1016/j.jenvman.2022.116533

  • 56

    ZhangT.SunY.ZhangX.YinL.ZhangB. (2023c). Potential heterogeneity of urban ecological resilience and urbanization in multiple urban agglomerations from a landscape perspective. J. Environ. Manag.342, 118129. 10.1016/j.jenvman.2023.118129

  • 57

    ZhangW.SunB.LiZ.SarwarS. (2023b). The impact of the digital economy on industrial eco-efficiency in the Yangtze River Delta (YRD) urban agglomeration. Sustainability15 (16), 12328. 10.3390/su151612328

  • 58

    ZhangY.ZhaoF.ZhangJ.WangZ. (2021). Fluctuation in the transformation of economic development and the coupling mechanism with the environmental quality of resource-based cities–A case study of Northeast China. Res. Policy72, 102128. 10.1016/j.resourpol.2021.102128

  • 59

    ZhaoJ.JiangQ.DongX.DongK.JiangH. (2022a). How does industrial structure adjustment reduce CO2 emissions? Spatial and mediation effects analysis for China. Energy Econ.105, 105704. 10.1016/j.eneco.2021.105704

  • 60

    ZhaoX.MaX.ShangY.YangZ.ShahzadU. (2022b). Green economic growth and its inherent driving factors in Chinese cities: based on the Metafrontier-global-SBM super-efficiency DEA model. Gondwana Res.106, 315328. 10.1016/j.gr.2022.01.013

Summary

Keywords

digital economy, urban ecological development, double machine learning, causal mediation model, causal inference model

Citation

Jiang Y, Li L and Xu Y (2025) Can digital economy improve urban ecological development? evidence based on double machine learning analysis. Front. Environ. Sci. 13:1542363. doi: 10.3389/fenvs.2025.1542363

Received

10 December 2024

Accepted

19 March 2025

Published

08 April 2025

Volume

13 - 2025

Edited by

Ruijun Zhang, Southeast University, China

Reviewed by

Tao Yu, Harbin Institute of Technology, China

Nuodi Fu, Southeast University, China

Updates

Copyright

*Correspondence: Yue Xu,

†These authors have contributed equally to this work.

Disclaimer

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.

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