Research on the Coupling Coordination and Influencing Factors Between Digital Economy and High-Quality Cultural Tourism Development in Shanxi Province Under the Background of Sustainable Development
Abstract
1. Introduction
2. Literature Review
3. Coupling Coordination Mechanisms Between the DE and HQCTD from the Perspective of Symbiosis Theory
3.1. Symbiotic Mechanism Through Which the DE Empowers HQCTD
3.2. Symbiotic Mechanism Through Which HQCTD Drives the Evolution of the DE
4. Research Design
4.1. Study Area
4.2. Indicator Development
4.3. Research Methods
4.3.1. Entropy Method
- (1)
- Data Standardization Processing
- (2)
- Determination of System Development Level
4.3.2. CCD Model
4.3.3. Standard Deviation Ellipse (SDE) and Center of Gravity Trajectory Model (CGT)
4.3.4. Obstacle Degree Model
4.3.5. Optimal Parameter-Based Geographic Detector
4.4. Data Sources
4.5. Data Robustness Test
5. Empirical Analysis
5.1. Analysis of Development Levels
5.1.1. Level of DE Development
5.1.2. Level of HQCTD
5.2. Coupling Coordination Analysis
5.2.1. Characteristics of Changes in Coupling Coordination over Time
5.2.2. Spatial Characteristics of Coupling Coordination Relationships
5.2.3. Spatio-Temporal Evolution Characteristics of CCD
5.3. Analysis of Influencing Factors
5.3.1. Internal Obstacle Factors in the Coupled Coordination System
- (a)
- Obstacle factors at the indicator level
- (b)
- Criteria-Level Obstacle Factors
5.3.2. External Influencing Factors of the Coupling Coordination System
- (a)
- Variable selection
- (b)
- Single-Factor Detection Analysis
- (c)
- Interaction Detection Analysis
6. Discussion and Recommendations
6.1. Discussion
6.2. Recommendations
7. Conclusions and Outlook
7.1. Research Conclusions
7.2. Limitations and Outlook
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| CCD | Coupling Coordination Degree |
| HQCTD | High-Quality Cultural Tourism Development |
| DE | Digital Economy |
| SDE | Standard Deviation Ellipse |
| CGT | Center of Gravity Trajectory Model |
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| System Level | Criterion Level | Indicator Level | Indicator Direction | Indicator Weight | References |
|---|---|---|---|---|---|
| DE system | Digital Infrastructure | X1: Internet Broadband Penetration Rate (%) | 0.0300 | Positive | [29] |
| X2: Mobile Phone Penetration Rate (%) | 0.0364 | Positive | [29] | ||
| X3: General Public Budget Expenditure on Science and Technology (10,000 RMB) | 0.1956 | Positive | [30] | ||
| X4: Proportion of R&D Expenditure (%) | 0.0475 | Positive | [31] | ||
| Digital Development | X5: Postal Service Revenue (10,000 RMB) | 0.1508 | Positive | [31] | |
| X6: Total Output Value of the Telecommunications Industry (10,000 RMB) | 0.1344 | Positive | [29] | ||
| X7: Education Expenditure (10,000 RMB) | 0.0312 | Positive | [32] | ||
| X8: Number of Employees in Scientific Research and Technical Services (10,000 persons) | 0.1421 | Positive | [30] | ||
| Digital Outcomes | X9: Digital Economy Innovation and Entrepreneurship Index | 0.0213 | Positive | [30] | |
| X10: Invention Patent Authorization Rate (%) | 0.0408 | Positive | [13] | ||
| X11: E-commerce Transaction Volume (10,000 RMB) | 0.1521 | Positive | [30] | ||
| X12: Digitalization Index of Digital Inclusive Finance | 0.0178 | Positive | [31] | ||
| HQCTD system | Innovation | Y1: Number of Students Enrolled in Regular Higher Education Institutions (1000 persons) | 0.2021 | Positive | [33] |
| Y2: Number of Regular Higher Education Institutions (units) | 0.1898 | Positive | [33] | ||
| Coordination | Y3: Urban–Rural Income Ratio (times) | 0.0239 | Negative | [33] | |
| Y4: Proportion of Tourism Revenue in Regional GDP (%) | 0.0331 | Positive | [34] | ||
| Green development | Y5: Urban Green Coverage Area (hectares) | 0.1093 | Positive | [32] | |
| Y6: Proportion of Days with Good Air Quality (%) | 0.0557 | Positive | [35] | ||
| Y7: Sewage Treatment Rate (%) | 0.0041 | Positive | [13] | ||
| Y8: Harmless Treatment Rate of Domestic Waste (%) | 0.0060 | Positive | [13] | ||
| Openness | Y9: Number of Tourist Visits (10,000 person-times) | 0.0463 | Positive | [32] | |
| Y10: Tourism Revenue (100 million RMB) | 0.0554 | Positive | [32] | ||
| Sharing | Y11: Number of Public Libraries (units) | 0.0567 | Positive | [32] | |
| Y12: Number of Museums (units) | 0.0607 | Positive | [13] | ||
| Y13: Number of Parks (units) | 0.1269 | Positive | [13] | ||
| Y14: Road Area (10,000 m2) | 0.0301 | Positive | [29] |
| No. | Development Stage | CCD | CCD Level | Value Range |
|---|---|---|---|---|
| 01 | Dysregulation Stage | [0, 0.1) | Extreme mismatch | 0 ≤ D < 0.4 |
| 02 | [0.1, 0.2) | Severe imbalance | ||
| 03 | [0.2, 0.3) | Moderate imbalance | ||
| 04 | [0.3, 0.4) | Mild dysregulation | ||
| 05 | Transitional stage | [0.4, 0.5) | Borderline | 0.4 ≤ D < 0.6 |
| 06 | [0.5, 0.6) | Barely coordinated | ||
| 07 | Harmonious phase | [0.6, 0.7) | Early coordination | 0.6 ≤ D ≤ 1.0 |
| 08 | [0.7, 0.8) | Intermediate coordination | ||
| 09 | [0.8, 0.9) | Good coordination | ||
| 10 | [0.9, 1.0) | Excellently coordinated |
| Criteria | Interaction Type |
|---|---|
| q(Xm∩Xn) < Min(q(Xm), q(Xn)) | nonlinear weaken |
| Min(q(Xm), q(Xn)) < q(Xm∩Xn) < Max(q(Xm), q(Xn)) | single-factor nonlinear weaken |
| q(Xm∩Xn) > Max(q(Xm), q(Xn)) | bivariate enhancement |
| q(Xm∩Xn) = q(Xm) + q(Xn) | independence |
| q(Xm∩Xn) > q(Xm) + q(Xn) | nonlinear enhancement |
| Year | Longitude | Latitude | Semi-Major Axis/m | Minor Axis/m | Azimuth |
|---|---|---|---|---|---|
| 2014 | 112.432 | 37.465 | 81,842.44 | 236,794.17 | 11.069 |
| 2017 | 112.43 | 37.483 | 82,237.88 | 237,158.24 | 11.129 |
| 2020 | 112.406 | 37.494 | 81,751.6 | 235,209.66 | 11.536 |
| 2023 | 112.417 | 37.485 | 81,692.35 | 234,122.55 | 11.405 |
| City | DE System (Obstacle Degree %) | HQCTD System (Obstacle Level %) | ||||
|---|---|---|---|---|---|---|
| First Obstacle Factor | Second Obstacle Factor | Third Obstacle Factor | First Obstacle Factor | Second Barrier Factor | Third Obstacle Factor | |
| Taiyuan | X6 (21.08) | X11 (20.35) | X3 (17.26) | Y6 (20.05) | Y13 (12.84) | Y12 (10.83) |
| Datong | X3 (22.93) | X11 (17.73) | X5 (15.75) | Y1 (26.03) | Y2 (23.38) | Y13 (14.25) |
| Yangquan | X3 (22.7) | X11 (18.02) | X5 (16.97) | Y1 (23.19) | Y2 (21.58) | Y13 (11.82) |
| Changzhi | X3 (23.08) | X11 (18.34) | X5 (16.78) | Y1 (24.46) | Y2 (23.35) | Y13 (15.6) |
| Jincheng | X3 (22.24) | X11 (18.28) | X5 (16.82) | Y1 (24.87) | Y2 (23.06) | Y5 (11.45) |
| Shuozhou | X3 (21.72) | X11 (17.14) | X5 (16.16) | Y1 (22.6) | Y2 (21.69) | Y13 (13.39) |
| Xinzhou | X3 (22.68) | X11 (18.07) | X5 (14.68) | Y1 (24.69) | Y2 (22.83) | Y13 (15.28) |
| Lüliang | X3 (22.77) | X11 (17.64) | X5 (16.14) | Y1 (24.68) | Y2 (22.2) | Y13 (13.61) |
| Jinzhong | X3 (22.57) | X11 (18.05) | X5 (16.38) | Y1 (22.32) | Y2 (19.37) | Y13 (18.99) |
| Linfen | X3 (23.59) | X11 (18.17) | X5 (16.1) | Y1 (24.76) | Y2 (23.28) | Y13 (15.29) |
| Yuncheng | X3 (23.86) | X11 (17.57) | X5 (15.27) | Y1 (25.36) | Y2 (24.18) | Y13 (16.56) |
| Year | DE System (Obstacle Level, %) | HQCTD System (Obstacle Level, %) | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Digital Infrastructure | Digital Development | Digital Outcomes | Innovation | Coordination | Green Development | Openness | Sharing | Vitality | |
| Taiyuan | 33.48 | 40.76 | 25.76 | 12.22 | 4.63 | 23.97 | 18.85 | 40.33 | 12.22 |
| Datong | 31.32 | 46.63 | 22.05 | 49.41 | 4.51 | 14.8 | 8.68 | 22.61 | 49.41 |
| Yangquan | 30.29 | 46.83 | 22.88 | 44.78 | 3.65 | 15.61 | 9.61 | 26.35 | 44.78 |
| Changzhi | 30.7 | 46.97 | 22.32 | 47.8 | 3.44 | 17.14 | 8.96 | 22.65 | 47.8 |
| Jincheng | 29.03 | 48.14 | 22.83 | 47.93 | 3.36 | 16.98 | 8.38 | 23.34 | 47.93 |
| Shuozhou | 31.17 | 46.71 | 22.12 | 44.29 | 4.08 | 15.67 | 10.11 | 25.86 | 44.29 |
| Xinzhou | 32.49 | 45.01 | 22.5 | 47.52 | 4.97 | 18.38 | 8.72 | 20.41 | 47.52 |
| Lüliang | 32.36 | 45.66 | 21.98 | 46.88 | 4.6 | 17.53 | 8.98 | 22.01 | 46.88 |
| Jinzhong | 31.19 | 46.58 | 22.23 | 41.68 | 3.35 | 19.02 | 7.9 | 28.04 | 41.68 |
| Linfen | 31.55 | 45.38 | 23.07 | 48.04 | 3.82 | 18.84 | 8.55 | 20.76 | 48.04 |
| Yuncheng | 32.07 | 45.66 | 22.26 | 49.54 | 4.3 | 14.74 | 8.92 | 22.5 | 49.54 |
| Influencing Factor | q-Value | Mean | Rank | |||
|---|---|---|---|---|---|---|
| 2014 | 2017 | 2020 | 2023 | |||
| Z1 | 0.1905 *** | 0.1600 *** | 0.1655 *** | 0.2768 *** | 0.1982 *** | 6 |
| Z2 | 0.7447 *** | 0.7763 *** | 0.7224 *** | 0.6899 *** | 0.7333 *** | 2 |
| Z3 | 0.4230 *** | 0.8162 *** | 0.8391 *** | 0.7702 *** | 0.7121 *** | 3 |
| Z4 | 0.7629 *** | 0.7615 *** | 0.7708 *** | 0.7165 *** | 0.7530 *** | 1 |
| Z5 | 0.7797 *** | 0.2875 *** | 0.8348 *** | 0.8594 *** | 0.6904 *** | 4 |
| Z6 | 0.3188 *** | 0.3469 *** | 0.4060 *** | 0.3922 *** | 0.3660 *** | 5 |
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Tian, Y.; Wang, J.; Sui, P. Research on the Coupling Coordination and Influencing Factors Between Digital Economy and High-Quality Cultural Tourism Development in Shanxi Province Under the Background of Sustainable Development. Sustainability 2026, 18, 5684. https://doi.org/10.3390/su18115684
Tian Y, Wang J, Sui P. Research on the Coupling Coordination and Influencing Factors Between Digital Economy and High-Quality Cultural Tourism Development in Shanxi Province Under the Background of Sustainable Development. Sustainability. 2026; 18(11):5684. https://doi.org/10.3390/su18115684
Chicago/Turabian StyleTian, Yuan, Jie Wang, and Puhai Sui. 2026. "Research on the Coupling Coordination and Influencing Factors Between Digital Economy and High-Quality Cultural Tourism Development in Shanxi Province Under the Background of Sustainable Development" Sustainability 18, no. 11: 5684. https://doi.org/10.3390/su18115684
APA StyleTian, Y., Wang, J., & Sui, P. (2026). Research on the Coupling Coordination and Influencing Factors Between Digital Economy and High-Quality Cultural Tourism Development in Shanxi Province Under the Background of Sustainable Development. Sustainability, 18(11), 5684. https://doi.org/10.3390/su18115684

