The Impact of Digital Trade Barriers on Digital Services Imports: An Inverted U-Shaped Relationship and Implications for Sustainable Digital Trade Governance
Abstract
1. Introduction
2. Theoretical Analysis and Research Hypotheses
2.1. Impact of Digital Trade Barriers on the Digital Services Imports
2.2. Analysis of the Mediating Role of Economic Freedom
2.3. Analysis of the Moderating Role of Institutional Environment
3. Methods and Data
3.1. The Empirical Model
3.2. Variables
3.2.1. Explained Variable
3.2.2. Explanatory Variable
3.2.3. Mediating Variable
3.2.4. Moderating Variable
3.2.5. Control Variables
3.3. Data Sources
4. Empirical Analysis
4.1. Benchmark Regression Analysis
4.2. Robustness Test and Endogeneity Test
4.2.1. Replacement of the Explanatory Variable
4.2.2. Tail Reduction Treatment
4.2.3. Replacement of Measurement and Estimation Methods
4.2.4. The Omitted Variables Problem
4.3. Endogeneity Test
4.4. Heterogeneity Test
4.4.1. Heterogeneity in Countries
4.4.2. Heterogeneity in the Digital Services Industries
4.4.3. Heterogeneity in the Digital Trade Barriers
5. Further Analysis: Tests of Mediation Effects and Moderation Effects
5.1. Test of the Mediating Effect of Economic Freedom
5.2. Test of the Mediating Effect of Different Dimensions of Economic Freedom
5.3. Test of the Moderating Effect Based on Institutional Environment
5.4. Test of the Moderating Effect Based on Different Dimensions of Institutional Environment
6. Discussion
7. Conclusions and Policy Recommendations
7.1. Conclusions
7.2. Policy Recommendations
7.3. Limitations and Future Research Directions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| SDGs | Sustainable Development Goals |
| Ddsi | digital services imports |
| Dstri | digital trade barriers |
| ICT | information and communication technologies |
| Fdi | foreign direct investment |
| Ofdi | outward foreign direct investment |
| Ce | carbon emissions |
| Urb | urbanization |
| Inf | internet penetration level |
| Ef | economic freedom |
| DSTRI | digital services trade restriction index |
| DSTRIH | Bilateral Heterogeneity Index of DSTRI |
| Wgi | institutional environment |
| Str | industrial structure |
| Gov | government education expenditure |
| Nat | dependence on natural resources |
| Ht | high-tech export |
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| Type of Variable | Variable | Obs | Mean | Sd | Min | Max |
|---|---|---|---|---|---|---|
| Explained variable | Ddsi | 783 | 8.175 | 2.392 | 2.167 | 12.840 |
| Explanatory variable | Dstri | 783 | 0.172 | 0.135 | 0.000 | 0.632 |
| Mediating variable | Ff | 783 | 64.686 | 9.692 | 33.100 | 89.700 |
| Moderating variable | Wgi | 783 | 0.278 | 0.869 | −1.332 | 1.852 |
| Control variables | Fdi | 783 | 3.937 | 19.293 | −360.35 | 252.92 |
| Ofdi | 783 | 2.109 | 19.166 | −360.35 | 252.92 | |
| Ce | 783 | 3.751 | 2.114 | −1.811 | 9.451 | |
| Urb | 783 | 64.307 | 21.492 | 16.967 | 100.00 | |
| Inf | 783 | 64.581 | 27.018 | 3.700 | 100.00 |
| Ddsi | ||||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| Dstri | 3.189 *** (0.587) | 0.939 *** (0.420) | 2.399 *** (0.474) | 0.845 ** (0.422) |
| Dstri2 | −4.896 *** (0.952) | −1.716 *** (0.676) | −3.889 *** (0.769) | −1.487 ** (0.682) |
| Fdi | 0.005 ** (0.003) | 0.006 *** (0.002) | ||
| Ofdi | −0.005 ** (0.003) | −0.006 *** (0.002) | ||
| Ce | −0.314 *** (0.067) | −0.061 (0.062) | ||
| Urb | 0.084 *** (0.012) | 0.015 (0.011) | ||
| Inf | 0.008 *** (0.001) | −0.004 *** (0.001) | ||
| Cons | 7.861 *** (0.061) | 7.932 *** (0.046) | 3.247 *** (0.704) | 7.399 *** (0.675) |
| Control variables | No | No | Yes | Yes |
| Country fixed | No | Yes | No | Yes |
| Year fixed | No | Yes | No | Yes |
| Observations | 783 | 783 | 783 | 783 |
| R2 | 0.0408 | 0.5382 | 0.3858 | 0.5498 |
| Variable | (1) Explanatory Variable Replacement DSTRIHa | (2) Explanatory Variable Replacement DSTRIHc | (3) Data Undertail by 1% | (4) Random Effect | (5) Omitted Variables |
|---|---|---|---|---|---|
| Dstri | 1.548 ** (0.706) | 1.003 ** (0.440) | 0.844 ** (0.405) | 2.181 *** (0.525) | 1.079 ** (0.425) |
| Dstri2 | −3.015 ** (1.253) | −1.908 *** (0.727) | −1.444 ** (0.651) | −3.412 *** (0.854) | −2.011 *** (0.702) |
| Cons | 7.388 *** (0.691) | 7.573 *** (0.700) | 7.472 *** (0.675) | 2.772 *** (0.334) | 7.553 *** (0.767) |
| Control variables | Yes | Yes | Yes | Yes | Yes |
| Country fixed | Yes | Yes | Yes | No | Yes |
| Year fixed | Yes | Yes | Yes | No | Yes |
| Observations | 765 | 765 | 783 | 783 | 739 |
| R2 | 0.5460 | 0.5469 | 0.5383 | 0.6871 | 0.5861 |
| Variable | (1) The First Lag of Digital Trade Barriers | (2) The Second Lag of Digital Trade Barriers | (3) The Mean Value of Digital Trade Barriers of All Other Countries |
|---|---|---|---|
| Dstri | 1.909 *** (3.120) | 4.306 *** (1.328) | 34.990 *** (12.605) |
| Dstri2 | −3.098 *** (0.915) | −6.602 *** (1.957) | −38.289 ** (14.936) |
| Cons | 9.156 *** (0.971) | 9.541 *** (1.343) | −6.635 (8.850) |
| Kleibergen–Paap rk Wald F | 33.366 | 9.809 | 7.736 |
| Kleibergen–Paap rk LM | 52.035 [0.0000] | 18.700 [0.0000] | 3.845 [0.0499] |
| Control variable | Yes | Yes | Yes |
| Country fixed | Yes | Yes | Yes |
| Year fixed | Yes | Yes | Yes |
| N | 696 | 609 | 783 |
| Variable | The Scale of Digital Services Imports | Levels of Economic Development | ||
|---|---|---|---|---|
| (1) Small-Scale Group | (2) Large-Scale Group | (3) Emerging Markets and Developing Economies | (4) Developed Economies | |
| Dstri | 0.579 (0.726) | 2.033 *** (0.433) | 0.733 (0.587) | 1.914 * (0.998) |
| Dstri2 | −0.464 (1.172) | −4.069 *** (0.707) | −1.250 (0.903) | −7.010 * (4.222) |
| Cons | 4.502 *** (1.013) | 9.357 *** (0.898) | 3.963 *** (0.732) | 17.924 *** (1.889) |
| Control variables | Yes | Yes | Yes | Yes |
| Country fixed | Yes | Yes | Yes | Yes |
| Year fixed | Yes | Yes | Yes | Yes |
| Observations | 369 | 414 | 495 | 288 |
| R2 | 0.4569 | 0.7643 | 0.4386 | 0.8177 |
| Variable | (1) SFI | (2) SGI | (3) SHI | (4) SI1I | (5) SI2I | (6) SI3I | (7) SJI | (8) SKI |
|---|---|---|---|---|---|---|---|---|
| Dstri | 0.812 (2.095) | 2.220 (2.161) | 5.732 ** (2.235) | 4.729 *** (0.936) | −6.377 * (3.406) | 0.198 (2.837) | −0.509 (1.985) | 4.516 (3.285) |
| Dstri2 | −4.417 (3.383) | −9.008 ** (3.491) | −0.511 (3.610) | −6.482 *** (1.511) | 5.809 (5.500) | −2.719 (4.583) | 1.065 (3.206) | −12.966 ** (5.306) |
| Cons | 16.640 *** (3.347) | 12.710 *** (3.454) | 12.048 *** (3.572) | 1.300 (1.495) | 23.732 *** (5.442) | 3.466 (4.534) | 3.355 (3.173) | 27.668 *** (5.250) |
| Control variables | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Country fixed | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Year fixed | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 783 | 783 | 783 | 783 | 783 | 783 | 783 | 783 |
| R2 | 0.0744 | 0.0839 | 0.0977 | 0.0611 | 0.1643 | 0.1244 | 0.1052 | 0.0989 |
| Variable | Ddsi | ||||
|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | |
| Dstrin | 0.381 (0.500) | 4.889 *** (1.851) | −3.689 (2.339) | 1.284 (3.604) | 7.069 *** (1.273) |
| Dstrin2 | −1.358 (1.278) | −41. 100 ** (18.321) | 36.946 (56.726) | −14.554 (38.883) | −57.337 *** (11. 188) |
| Cons | 7.601 *** (0.673) | 7.176 *** (0.667) | 7.467 *** (0.659) | 7.456 *** (0.663) | 6.695 *** (0.656) |
| Control variables | Yes | Yes | Yes | Yes | Yes |
| Country fixed effects | Yes | Yes | Yes | Yes | Yes |
| Year fixed effects | Yes | Yes | Yes | Yes | Yes |
| Observations | 783 | 783 | 783 | 783 | 783 |
| R2 | 0.5477 | 0.5512 | 0.5489 | 0.5467 | 0.5668 |
| Variable | (1) Ef | (2) Ddsi | (3) Ddsi |
|---|---|---|---|
| Dstri | 17.993 *** (5.489) | 0.710 * (0.424) | |
| Dstri2 | −18.218 ** (8.865) | −1.351 ** (0.681) | |
| Ef | 0.008 *** (0.003) | 0.007 ** (0.003) | |
| Cons | 77.004 *** (8.772) | 6.822 *** (0.698) | 6.824 *** (0.709) |
| Control variables | Yes | Yes | Yes |
| Country fixed | Yes | Yes | Yes |
| Year fixed | Yes | Yes | Yes |
| Observations | 783 | 783 | 783 |
| R2 | 0.1435 | 0.5513 | 0.5540 |
| Variable | (1) Ef1 | (2) Ddsi | (3) Ddsi | (4) Ef2 | (5) Ddsi | (6) Ddsi | (7) Ef3 | (8) Ddsi | (9) Ddsi | (10) Ef4 | (11) Ddsi | (12) Ddsi |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dstri | 8.170 (11.370) | 0.794 * (0.417) | 53.339 *** (14.555) | 0.728 * (0.426) | −7.200 (6.410) | 0.847 ** (0.423) | 9.410 (5.954) | 0.876 ** (0.423) | ||||
| Dstri2 | 20.610 (18.364) | −1.615 ** (0.674) | −87.816 *** (23.507) | −1.295 * (0.688) | 20.448 ** (10.352) | −1.494 ** (0.685) | −6.883 (9.616) | −1.510 ** (0.682) | ||||
| Ef | 0.006 *** (0.001) | 0.006 *** (0.001) | 0.002 ** (0.001) | 0.002 ** (0.001) | −0.001 (0.003) | 0.001 0.003) | −0.003 (0.003) | −0.003 (0.003) | ||||
| Cons | 82.789 *** (18.170) | 6.890 *** (0.662) | 6.886 *** (0.676) | 84.008 *** (23.259) | 7.258 *** (0.661) | 7.216 *** (0.680) | 32.718 *** (10.243) | 7.493 *** (0.662) | 7.389 *** (0.680) | 76.658 *** (9.515) | 7.754 *** (0.692) | 7.656 *** (0.706) |
| Control variables | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Country fixed | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Year fixed | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 783 | 783 | 783 | 783 | 783 | 783 | 783 | 783 | 783 | 783 | 783 | 783 |
| R2 | 0.8619 | 0.5580 | 0.5623 | 0.8174 | 0.5500 | 0.5523 | 0.1091 | 0.5466 | 0.5498 | 0.1456 | 0.5475 | 0.5508 |
| Variable | Ddsi | |||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| Dstri | 0.939 *** (0.420) | 0.845 ** (0.422) | 0.910 * (0.492) | 0.865 * (0.490) | ||
| Dstri2 | −1.716 *** (0.676) | −1.487 ** (0.682) | −2.043 ** (1.032) | −1.898 * (1.026) | ||
| Wgi | 0.299 *** (0.083) | 0.308 *** (0.083) | 0.208 ** (0.103) | 0.239 ** (0.103) | ||
| Dstri × Wgi | 1.146 ** (0.471) | 0.908 * (0.473) | ||||
| Dstri2 × Wgi | −2.048 * (1.046) | −1.741 * (1.043) | ||||
| Cons | 7.932 *** (0.046) | 7.399 *** (0.675) | 7.916 *** (0.032) | 7.515 *** (0.649) | 7.873 *** (0.064) | 7.493 *** (0.668) |
| Control variables | No | Yes | No | Yes | No | Yes |
| Country fixed effects | Yes | Yes | Yes | Yes | Yes | Yes |
| Year fixed effects | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 783 | 783 | 783 | 783 | 783 | 783 |
| R2 | 0.5382 | 0.5498 | 0.5423 | 0.5556 | 0.5513 | 0.5615 |
| Variable | Ddsi | |||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| Dstri | 0.875 ** (0.424) | 0.869 * (0.449) | 0.762 * (0.435) | 0.566 (0.495) | 0.661 (0.488) | 0.193 (0.570) |
| Dstri2 | −1.936 ** (0.755) | −1.982 *** (0.760) | −1.057 (0.801) | −1.349 (0.865) | −1.333 (0.929) | 0.367 (1.351) |
| Wgin | 0.056 (0.072) | 0.189 ** (0.073) | 0.041 (0.059) | −0.049 (0.085) | 0.034 (0.083) | 0.017 (0.072) |
| Dstri × Wgin | 0.596 (0.463) | 0.878 ** (0.446) | 0.647 (0.400) | 1.224 *** (0.453) | 0.753 * (0.444) | 0.556 (0.430) |
| Dstri2 × Wgin | −1.460 (0.953) | −2.253 ** (0.883) | −0.354 (0.723) | −2.034 *** (0.722) | −1.195 (0.962) | 0.078 (0.922) |
| Cons | 7.522 *** (0.676) | 7.759 *** (0.669) | 7.368 *** (0.671) | 7.453 *** (0.674) | 7.568 *** (0.677) | 7.330 *** (0.673) |
| Control variables | Yes | Yes | Yes | Yes | Yes | Yes |
| Country fixed | Yes | Yes | Yes | Yes | Yes | Yes |
| Year fixed | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 783 | 783 | 783 | 783 | 783 | 783 |
| R2 | 0.5530 | 0.5661 | 0.5597 | 0.5560 | 0.5539 | 0.5559 |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Zhang, Z.; Zhang, H. The Impact of Digital Trade Barriers on Digital Services Imports: An Inverted U-Shaped Relationship and Implications for Sustainable Digital Trade Governance. Sustainability 2026, 18, 5338. https://doi.org/10.3390/su18115338
Zhang Z, Zhang H. The Impact of Digital Trade Barriers on Digital Services Imports: An Inverted U-Shaped Relationship and Implications for Sustainable Digital Trade Governance. Sustainability. 2026; 18(11):5338. https://doi.org/10.3390/su18115338
Chicago/Turabian StyleZhang, Zelin, and Hong Zhang. 2026. "The Impact of Digital Trade Barriers on Digital Services Imports: An Inverted U-Shaped Relationship and Implications for Sustainable Digital Trade Governance" Sustainability 18, no. 11: 5338. https://doi.org/10.3390/su18115338
APA StyleZhang, Z., & Zhang, H. (2026). The Impact of Digital Trade Barriers on Digital Services Imports: An Inverted U-Shaped Relationship and Implications for Sustainable Digital Trade Governance. Sustainability, 18(11), 5338. https://doi.org/10.3390/su18115338
