Beyond Shocks: How ESG Fundamentals Shape Geopolitical Risk Across Countries
Abstract
1. Introduction
2. Literature Review
3. Methodology: An Integrated ESG-Based Multi-Method Framework for Geopolitical Risk Analysis
3.1. Theoretical Mechanisms Linking ESG Pillars to Geopolitical Risk
3.2. Boundary Conditions and Contextual Moderators of the ESG–Geopolitical Risk Relationship
3.3. Integrated Multi-Method Analytical Strategy
4. Environmental ESG Drivers of Geopolitical Risk: Evidence from Panel Models, Clustering, and Machine Learning
4.1. Panel Data Evidence on the Environmental (E) Dimension of ESG and Geopolitical Risk
4.2. Environmental Risk Regimes and Geopolitical Risk: A Clustering-Based Assessment
4.3. Machine Learning Prediction of Geopolitical Risk from Environmental ESG Indicators: Model Comparison and Key Drivers
5. Social Foundations of Geopolitical Risk: An ESG-Based Multi-Method Assessment
5.1. Estimating the Social Pillar’s Effect on Geopolitical Risk: A Panel Econometric Approach
5.2. Clustering Social Structures and Geopolitical Risk: A Comparative Algorithmic Assessment
5.3. Predicting Geopolitical Risk from Social ESG Factors: A Machine Learning Comparison
6. Governance as a Structural Driver of Geopolitical Risk: An ESG Perspective
6.1. Modeling the G–GPR Link: Corruption Control, Political Stability, and Innovation Capacity in Panel Regression
6.2. Governance Regimes and Geopolitical Risk: Evidence from Multicriteria Clustering Analysis
6.3. Machine Learning Evidence on Governance and Geopolitical Risk: KNN Dominance and Nonlinear Effects
7. Integrated Discussion of Results: ESG Components and Geopolitical Risk
8. Policy and Stakeholder Implications: ESG-Based Strategies for Enhancing Geopolitical Resilience
9. Limitations of the Empirical Framework and Data Constraints
10. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A. Supervised Machine Learning Model Specifications and Hyperparameter Settings
| Hyperparameter | Setting | Description |
|---|---|---|
| Holdout test data | 20% of total sample | Portion of data reserved for out-of-sample testing |
| Validation data | 20% of training data | Portion of data used for internal validation |
| Cross-validation | Not enabled | K-fold option available (5 folds), not selected |
| Shrinkage (learning rate) | 0.1 | Step size applied at each boosting iteration |
| Interaction depth | 1 | Maximum tree depth (stumps) |
| Minimum observations in node | 10 | Minimum number of observations required in terminal nodes |
| Training data used per tree | 50% | Subsampling rate for each boosting iteration |
| Loss function | Gaussian | Squared-error loss for regression |
| Feature scaling | Enabled | Predictors standardized before estimation |
| Random seed | Not fixed | No fixed seed imposed |
| Number of trees | Optimized | Selected via internal optimization |
| Maximum number of trees | 100 | Upper bound for boosting iterations |
| Hyperparameter | Setting | Description |
|---|---|---|
| Holdout test data | 20% of total sample | Portion of data reserved for out-of-sample evaluation |
| Validation data | 20% of training data | Portion of training data used for internal validation |
| Test set indicator | None | No external test indicator variable specified |
| Minimum observations for split | 20 | Minimum number of observations required to create a split |
| Minimum observations in terminal node | 7 | Minimum number of observations allowed in a leaf node |
| Maximum interaction depth | 30 | Maximum allowable tree depth |
| Tree complexity selection | Optimized | Complexity parameter selected through internal optimization |
| Maximum complexity penalty | 1 | Upper bound for pruning regularization |
| Feature scaling | Enabled | Predictors standardized prior to model estimation |
| Random seed | Not fixed | No fixed seed imposed during estimation |
| Hyperparameter | Setting | Description |
|---|---|---|
| Holdout test data | 20% of total sample | Portion of data reserved for out-of-sample testing |
| Validation data | 20% of training data | Portion of training data used for internal validation |
| Cross-validation | Not enabled (k-fold option available) | K-fold (5 folds) and leave-one-out options available but not selected |
| Weights | Rectangular (Uniform) | Equal weighting assigned to nearest neighbors |
| Distance metric | Euclidean | Distance metric used to compute similarity between observations |
| Number of nearest neighbors (k) | Optimized | Selected via internal optimization procedure |
| Maximum nearest neighbors | 10 | Upper bound for k during optimization |
| Feature scaling | Enabled | Predictors standardized prior to estimation |
| Random seed | Not fixed | No fixed seed imposed |
| Hyperparameter/Setting | Configuration | Description |
|---|---|---|
| Holdout test data | 20% of total sample | Portion of data reserved for out-of-sample testing |
| Test set indicator | None | No external test indicator variable specified |
| Include intercept | Enabled | Model includes a constant term |
| Feature scaling | Enabled | Predictors standardized prior to estimation |
| Random seed | Not fixed | No fixed seed imposed during estimation |
| Hyperparameter | Setting | Description |
|---|---|---|
| Holdout test data | 20% of total sample | Portion of data reserved for out-of-sample testing |
| Validation data | 20% of training data | Portion of training data used for internal validation |
| Test set indicator | None | No external test indicator variable specified |
| Training data used per tree | 50% | Subsampling rate for bootstrap aggregation |
| Features per split (mtry) | 1 (manual) | Number of predictors randomly selected at each split |
| Feature scaling | Enabled | Predictors standardized prior to estimation |
| Random seed | Not fixed | No fixed seed imposed during estimation |
| Number of trees | Optimized | Selected through internal optimization procedure |
| Maximum number of trees | 100 | Upper bound for tree growth during optimization |
| Hyperparameter/Setting | Configuration | Description |
|---|---|---|
| Holdout test data | 20% of total sample | Portion of data reserved for out-of-sample testing |
| Validation data | 20% of training data | Portion of training data used for internal validation |
| Test set indicator | None | No external test indicator variable specified |
| Regularization type | Lasso (L1 penalty) | L1 regularization applied to coefficient shrinkage |
| Lambda (λ) | Optimized | Regularization parameter selected through internal optimization |
| Include intercept | Enabled | Model includes a constant term |
| Feature scaling | Enabled | Predictors standardized prior to estimation |
| Random seed | Not fixed | No fixed seed imposed during estimation |
| Hyperparameter/Setting | Configuration | Description |
|---|---|---|
| Holdout test data | 20% of total sample | Portion of data reserved for out-of-sample testing |
| Validation data | 20% of training data | Portion of training data used for internal validation |
| Test set indicator | None | No external test indicator variable specified |
| Kernel type | Linear | Linear kernel function applied |
| Degree | 3 (inactive for linear kernel) | Polynomial degree parameter (not used with linear kernel) |
| Gamma parameter | 1 (inactive for linear kernel) | Kernel coefficient (not used with linear kernel) |
| r parameter | 0 (inactive for linear kernel) | Kernel offset parameter (not used with linear kernel) |
| Cost parameter (C) | Optimized | Regularization parameter selected through internal optimization |
| Maximum violation cost | 5 | Upper bound for cost parameter during optimization |
| Tolerance (termination criterion) | 0.001 | Convergence tolerance threshold |
| Epsilon (ε) | 0.01 | Insensitivity parameter in ε-SVR loss function |
| Feature scaling | Enabled | Predictors standardized prior to estimation |
| Random seed | Not fixed | No fixed seed imposed during estimation |
Appendix B. Panel Model Statistics and Diagnostic Tests
| Models | Random-Effects (GLS) | Fixed-Effects | Pooled OLS | WLS | |||||
|---|---|---|---|---|---|---|---|---|---|
| Statistics | Mean dependent var | 0.21 | Mean dependent var | 0.21 | Mean dependent var | 0.21 | Sum squared resid | 400.54 | |
| Sum squared resid | 100.93 | Sum squared resid | 7.07 | Sum squared resid | 67.55 | R-squared | 0.42 | ||
| Log-likelihood | −316.62 | LSDV R-squared | 0.92 | R-squared | 0.30 | F(6, 593) | 72.26 | ||
| Schwarz criterion | 678.03 | LSDV F(37, 562) | 193.31 | F(6, 593) | 43.29 | Log-likelihood | −730.13 | ||
| rho | 0.45 | Log-likelihood | 480.65 | Log-likelihood | −196.17 | Schwarz criterion | 1505.04 | ||
| S.D. dependent var | 0.40 | Schwarz criterion | −718.22 | Schwarz criterion | 437.13 | S.E. of regression | 0.82 | ||
| S.E. of regression | 0.41 | rho | 0.45 | rho | 0.92 | Adjusted R-squared | 0.41 | ||
| Akaike criterion | 647.25 | S.D. dependent var | 0.40 | S.D. dependent var | 0.40 | p-value(F) | 1.73 × 10−67 | ||
| Hannan-Quinn | 659.23 | S.E. of regression | 0.11 | S.E. of regression | 0.33 | Akaike criterion | 1474.26 | ||
| Durbin-Watson | 1.03 | Within R-squared | 0.14 | Adjusted R-squared | 0.29 | Hannan-Quinn | 1486.24 | ||
| p-value(F) | 4.9 × 10−293 | p-value(F) | 6.97 × 10−44 | ||||||
| Akaike criterion | −885.30 | Akaike criterion | 406.35 | ||||||
| Hannan-Quinn | −820.26 | Hannan-Quinn | 418.34 | ||||||
| Durbin-Watson | 1.03 | Durbin-Watson | 0.11 | ||||||
| Test | ‘Between’ variance = 0.136124 ‘Within’ variance = 0.0125928 mean theta = 0.92988 Joint test on named regressors - Asymptotic test statistic: Chi-square(6) = 89.4446 with p-value = 3.9518 × 10−17 | Joint test on named regressors - Test statistic: F(6, 562) = 15.6715 with p-value = P(F(6, 562) > 15.6715) = 1.12878 × 10−16 | White’s test for heteroskedasticity - Null hypothesis: heteroskedasticity not present Test statistic: LM = 396.416 with p-value = P(Chi-square(27) > 396.416) = 2.68196 × 10−67 | Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 3049.14 with p-value = 0 | |||||
| Breusch-Pagan test - Null hypothesis: Variance of the unit-specific error = 0 Asymptotic test statistic: Chi-square(1) = 3126.34 with p-value = 0 | Test for differing group intercepts - Null hypothesis: The groups have a common intercept Test statistic: F(31, 562) = 154.929 with p-value = P(F(31, 562) > 154.929) = 1.34555 × 10−252 | Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 4.39143 with p-value = 1.12605 × 10−5 | Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 9.83327 with p-value = 8.0945 × 10−23 | ||||||
| Hausman test - Null hypothesis: GLS estimates are consistent Asymptotic test statistic: Chi-square(6) = 17.1979 with p-value = 0.00858286 | Distribution free Wald test for heteroskedasticity - Null hypothesis: the units have a common error variance Asymptotic test statistic: Chi-square(32) = 60,214.9 with p-value = 0 | ||||||||
| Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 87.8246 with p-value = 8.49441 × 10−20 | Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 235.745 with p-value = 6.4377 × 10−52 | ||||||||
| Wooldridge test for autocorrelation in panel data - Null hypothesis: No first-order autocorrelation (rho = −0.5) Test statistic: F(1, 31) = 31.1906 with p-value = P(F(1, 31) > 31.1906) = 4.01527 × 10−6 | Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 11.1264 with p-value = 9.33577 × 10−29 | ||||||||
| Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 12.1346 with p-value = 6.92413 × 10−34 | |||||||||
| Models | Fixed-Effects | Random-Effects (GLS) | Pooled OLS | WLS | |||||
|---|---|---|---|---|---|---|---|---|---|
| Statistics | Mean dependent var | 0.23 | Mean dependent var | 0.23 | Mean dependent var | 0.23 | Sum squared resid | 555.22 | |
| Sum squared resid | 38.17 | Sum squared resid | 191.91 | Sum squared resid | 137.30 | R-squared | 0.15 | ||
| LSDV R-squared | 0.81 | Log-likelihood | −594.13 | R-squared | 0.34 | F(3, 1002) | 60.92 | ||
| LSDV F(44, 961) | 98.35 | Schwarz criterion | 1215.91 | F(3, 1002) | 177.10 | Log-likelihood | −1128.48 | ||
| Log-likelihood | 218.08 | rho | 0.42 | Log-likelihood | −425.69 | Schwarz criterion | 2284.63 | ||
| Schwarz criterion | −125.04 | S.D. dependent var | 0.45 | Schwarz criterion | 879.04 | S.E. of regression | 0.74 | ||
| rho | 0.42 | S.E. of regression | 0.43 | rho | 0.82 | Adjusted R-squared | 0.15 | ||
| S.D. dependent var | 0.45 | Akaike criterion | 1196.26 | S.D. dependent var | 0.45 | p-value(F) | 3.48 × 10−36 | ||
| S.E. of regression | 0.19 | Hannan-Quinn | 1203.73 | S.E. of regression | 0.37 | Akaike criterion | 2264.97 | ||
| Within R-squared | 0.02 | Durbin-Watson | 1.079 | Adjusted R-squared | 0.34 | Hannan-Quinn | 2272.44 | ||
| p-value(F) | 0.000000 | p-value(F) | 4.06 × 10−92 | ||||||
| Akaike criterion | −346.16 | Akaike criterion | 859.39 | ||||||
| Hannan-Quinn | −262.14 | Hannan-Quinn | 866.86 | ||||||
| Durbin-Watson | 1.07 | Durbin-Watson | 0.39 | ||||||
| Statistics | Joint test on named regressors - Test statistic: F(3, 961) = 7.03306 with p-value = P(F(3, 961) > 7.03306) = 0.000111402 | ‘Between’ variance = 0.159637 ‘Within’ variance = 0.0379519 mean theta = 0.900858 Joint test on named regressors - Asymptotic test statistic: Chi-square(3) = 25.0435 with p-value = 1.51203 × 10−5 | White’s test for heteroskedasticity - Null hypothesis: heteroskedasticity not present Test statistic: LM = 173.839 with p-value = P(Chi-square(9) > 173.839) = 9.77682 × 10−33 | Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 5956.9 with p-value = 0 | |||||
| Test for differing group intercepts - Null hypothesis: The groups have a common intercept Test statistic: F(41, 961) = 60.8521 with p-value = P(F(41, 961) > 60.8521) = 8.00815 × 10−236 | Breusch-Pagan test - Null hypothesis: Variance of the unit-specific error = 0 Asymptotic test statistic: Chi-square(1) = 3679.53 with p-value = 0 | Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 1800.14 with p-value = 0 | Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 29.7152 with p-value = 4.88104 × 10−194 | ||||||
| Distribution free Wald test for heteroskedasticity - Null hypothesis: the units have a common error variance Asymptotic test statistic: Chi-square(42) = 668,171 with p-value = 0 | Hausman test - Null hypothesis: GLS estimates are consistent Asymptotic test statistic: Chi-square(3) = 21.6305 with p-value = 7.78584 × 10−5 | Chow test for structural break at observation 22:02 - Null hypothesis: no structural break Test statistic: F(4, 998) = 62.4249 with p-value = P(F(4, 998) > 62.4249) = 4.08276 × 10−47 | |||||||
| Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 1405.14 with p-value = 7.53969 × 10−306 | Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 6500.58 with p-value = 0 | Wooldridge test for autocorrelation in panel data - Null hypothesis: No first-order autocorrelation (rho = 0) Test statistic: t(41) = 25.453 with p-value = P(|t| > 25.453) = 9.68356 × 10−27 | |||||||
| Wooldridge test for autocorrelation in panel data - Null hypothesis: No first-order autocorrelation (rho = −0.5) Test statistic: F(1, 41) = 7.32631 with p-value = P(F(1, 41) > 7.32631) = 0.00986009 | Wooldridge test for autocorrelation in panel data - Null hypothesis: No first-order autocorrelation (rho = −0.5) Test statistic: F(1, 41) = 7.32631 with p-value = P(F(1, 41) > 7.32631) = 0.00986009 | Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 14.0199 with p-value = 1.1785 × 10−44 | |||||||
| Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 38.4238 with p-value = 0 | Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 37.4161 with p-value = 2.13906 × 10−306 | ||||||||
| Models | WLS | Random-Effects (GLS) | Pooled OLS | Fixed-Effects | ||||
|---|---|---|---|---|---|---|---|---|
| Statistics | Sum squared resid | 662.83 | Mean dependent var | 0.227771 | Mean dependent var | 0.227771 | Mean dependent var | 0.227771 |
| R-squared | 0.41 | Sum squared resid | 134.2991 | Sum squared resid | 100.7815 | Sum squared resid | 40.81468 | |
| F(3, 920) | 217.33 | Log-likelihood | −420.0663 | R-squared | 0.466698 | LSDV R-squared | 0.784022 | |
| Log-likelihood | −1157.62 | Schwarz criterion | 867.4474 | F(3, 920) | 268.3671 | LSDV F(44, 879) | 72.51967 | |
| Schwarz criterion | 2342.573 | rho | 0.562045 | Log-likelihood | −287.4193 | Log-likelihood | 130.1884 | |
| S.E. of regression | 0.848806 | S.D. dependent var | 0.452484 | Schwarz criterion | 602.1535 | Schwarz criterion | 46.91517 | |
| Adjusted R-squared | 0.412849 | S.E. of regression | 0.381862 | rho | 0.912620 | rho | 0.562045 | |
| p-value(F) | 1.5 × 10−106 | Akaike criterion | 848.1326 | S.D. dependent var | 0.452484 | S.D. dependent var | 0.452484 | |
| Akaike criterion | 2323.258 | Hannan-Quinn | 855.5017 | S.E. of regression | 0.330976 | S.E. of regression | 0.215483 | |
| Hannan-Quinn | 2330.627 | Durbin-Watson | 0.902322 | Adjusted R-squared | 0.464959 | Within R-squared | 0.078325 | |
| p-value(F) | 4.2 × 10−125 | p-value(F) | 1.9 × 10−259 | |||||
| Akaike criterion | 582.8386 | Akaike criterion | −170.3769 | |||||
| Hannan-Quinn | 590.2077 | Hannan-Quinn | −87.47462 | |||||
| Durbin-Watson | 0.439222 | Durbin-Watson | 0.902322 | |||||
| Tests | Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 4120.55 with p-value = 0 | ‘Between’ variance = 0.0575146 ’Within’ variance = 0.0464331 theta used for quasi-demeaning = 0.811857 Joint test on named regressors - Asymptotic test statistic: Chi-square(3) = 103.816 with p-value = 2.34904 × 10−22 | White’s test for heteroskedasticity - Null hypothesis: heteroskedasticity not present Test statistic: LM = 192.814 with p-value = P(Chi-square(9) > 192.814) = 1.0606 × 10−36 | Joint test on named regressors - Test statistic: F(3, 879) = 24.8995 with p-value = P(F(3, 879) > 24.8995) = 1.81499 × 10−15 | ||||
| Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 38.6787 with p-value = 0 | Breusch-Pagan test - Null hypothesis: Variance of the unit-specific error = 0 Asymptotic test statistic: Chi-square(1) = 2314.09 with p-value = 0 | Distribution free Wald test for heteroskedasticity - Null hypothesis: the units have a common error variance Asymptotic test statistic: Chi-square(42) = 369,131 with p-value = 0 | Test for differing group intercepts - Null hypothesis: The groups have a common intercept Test statistic: F(41, 879) = 31.4992 with p-value = P(F(41, 879) > 31.4992) = 1.21321 × 10−143 | |||||
| Hausman test - Null hypothesis: GLS estimates are consistent Asymptotic test statistic: Chi-square(3) = 39.4114 with p-value = 1.42007 × 10−8 | Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 635.197 with p-value = 1.17146 × 10−138 | Wooldridge test for autocorrelation in panel data - Null hypothesis: No first-order autocorrelation (rho = −0.5) Test statistic: F(1, 41) = 60.9601 with p-value = P(F(1, 41) > 60.9601) = 1.2226 × 10−9 | ||||||
| Test for normality of residual - Null hypothesis: error is normally distributed Test statistic: Chi-square(2) = 6213.77 with p-value = 0 | Pesaran CD test for cross-sectional dependence - Null hypothesis: No cross-sectional dependence Asymptotic test statistic: z = 34.07 with p-value = 2.05168 × 10−254 | |||||||
Appendix C. Countries Included in the Analysis

Appendix D. List of Acronyms
| ESG | Variable | Acronym |
|---|---|---|
| E | Access to clean fuels and technologies | ACF |
| Access to electricity | ELEC | |
| Adjusted savings: natural resources depletion | NRD | |
| Adjusted savings: net forest depletion | NFD | |
| Agricultural land | AGL | |
| Agriculture, forestry & fishing value added | AFF | |
| Annual freshwater withdrawals | WAT | |
| CO2 emissions | CO2 | |
| Cooling Degree Days | CDD | |
| Electricity from coal | ECOA | |
| Energy imports | ENI | |
| Energy intensity | EINT | |
| Energy use per capita | ENU | |
| Forest area | FOR | |
| Fossil fuel consumption | FOS | |
| Heat Index 35 | HI35 | |
| Heating Degree Days | HDD | |
| Land Surface Temperature | LST | |
| Water stress | WSTR | |
| Methane emissions | CH4 | |
| Nitrous oxide emissions | N2O | |
| PM2.5 pollution | PM25 | |
| Safely managed drinking water | SMDW | |
| Safely managed sanitation | SMSS | |
| Water quality | WQG | |
| Renewable electricity output | RELE | |
| Renewable energy consumption | REN | |
| SPEI index | SPEI | |
| Tree Cover Loss | TCL | |
| Country GPR: Percent of articles | GPR | |
| S | Access to clean fuels and technologies for cooking (% pop.) | ACF |
| Access to electricity (% pop.) | ELEC | |
| Adjusted savings: natural resources depletion (% GNI) | NRD | |
| Adjusted savings: net forest depletion (% GNI) | NFD | |
| Agricultural land (% land area) | AGL | |
| Agriculture, forestry & fishing, value added (% GDP) | AFF | |
| Annual freshwater withdrawals (% internal resources) | WAT | |
| CO2 emissions (metric tons per capita) | CO2 | |
| Control of Corruption: Estimate | COR | |
| Cooling Degree Days | CDD | |
| Economic and Social Rights Performance Score | ESR | |
| Electricity production from coal sources (% total) | ECOA | |
| Energy imports, net (% of energy use) | ENI | |
| Energy intensity level of primary energy | EINT | |
| Energy use (kg oil eq. per capita) | ENU | |
| Fertility rate, total | FER | |
| Food production index | FPI | |
| Forest area (% of land area) | FOR | |
| Fossil fuel energy consumption (% total) | FOS | |
| GDP growth (annual %) | GDPG | |
| Gini index | GINI | |
| Government Effectiveness: Estimate | GOV | |
| Gov. expenditure on education (% of gov exp.) | GEDU | |
| Heat Index 35 | HI35 | |
| Heating Degree Days | HDD | |
| Hospital beds (per 1000 people) | HOSP | |
| Income share held by lowest 20% | INC20 | |
| Individuals using the Internet (% pop.) | INT | |
| Labor force participation rate (ages 15–64) | LFP | |
| Land Surface Temperature | LST | |
| Level of water stress | WSTR | |
| Life expectancy at birth | LEX | |
| Methane emissions (t CO2 eq. per capita) | CH4 | |
| Mortality rate, under-5 | U5MR | |
| Net migration | MIG | |
| Nitrous oxide emissions (t CO2 eq. per capita) | N2O | |
| Patent applications, residents | PAT | |
| People using safely managed drinking water services | SMDW | |
| People using safely managed sanitation services | SMSS | |
| PM2.5 air pollution, mean annual exposure | PM25 | |
| Political Stability & Absence of Violence | PSAV | |
| Population ages 65+ (% total) | POP65 | |
| Population density | PDEN | |
| Prevalence of overweight (adults) | OVW | |
| Prevalence of undernourishment | UND | |
| Water bodies with good ambient quality | WQG | |
| Seats held by women in parliament | WIP | |
| Female/male labor force participation ratio | FLFP | |
| Regulatory Quality: Estimate | REG | |
| Renewable electricity output | RELE | |
| Renewable energy consumption | REN | |
| Research and development expenditure (% of GDP) | RDG | |
| Rule of Law: Estimate | ROL | |
| School enrollment, primary (% gross) | PRIM | |
| School enrollment primary & secondary, GPI | GPI | |
| Scientific and technical journal articles | STJA | |
| Standardised Precipitation–Evapotranspiration Index | SPEI | |
| Tree Cover Loss (hectares) | TCL | |
| Unemployment, total (% labor force) | UNEM | |
| Voice and Accountability: Estimate | VAC | |
| G | Control of Corruption | COR |
| Government Effectiveness | GOV | |
| Political Stability | PSAV | |
| Regulatory Quality | REG | |
| Rule of Law | ROL | |
| Voice & Accountability | VAC | |
| Research & development expenditure | RDG | |
| Scientific & technical articles | STJA | |
| Patent applications | PAT | |
| GDP growth | GDPG |
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| Macro-Theme | Focus | Key Articles |
|---|---|---|
| Geopolitical Risk, ESG Performance and Sustainability Uncertainty | Examines how geopolitical risk, wars, and global uncertainty affect ESG performance, ESG ratings, sustainability uncertainty, and corporate behavior | Benammar et al. (2026); Boccaletti et al. (2026); Huo and Shi (2025); Z. Guo et al. (2025); Lei et al. (2025); Doğan and Zeren (2025); Sha et al. (2025); Haseeb et al. (2025); Sovbetov (2025); Kuai and Wang (2025); Al Amosh and Khatib (2025); Cheng et al. (2025); Erzurumlu et al. (2025) |
| Financial Markets, ESG Assets and Portfolio Dynamics under Geopolitical Risk | Focuses on ESG indices, green bonds, ETFs, commodities, cryptocurrencies, volatility spillovers, asset allocation, and portfolio resilience during geopolitical shocks | Das et al. (2026); Newaz and Aslam (2025); Shen et al. (2025); Saini et al. (2025); Bouzguenda and Jarboui (2025); Ben Ameur et al. (2025); Gheorghe et al. (2025); Bajra et al. (2025); Karkowska and Urjasz (2025); Cui and Maghyereh (2025); Fabozzi (2025); Soltani and Abbes (2025); Muddasir and Ramon-Llorens (2025) |
| Energy Transition, Climate Risk and Sectoral Resilience | Addresses clean energy, fossil fuels, supply chains, mining, ports, maritime systems, and climate transition under geopolitical and policy uncertainty | Akadiri and Özkan (2026); Özkan et al. (2025); Bai et al. (2025); Hau et al. (2025); Su et al. (2025); Guj and Schodde (2025); Ma et al. (2025); Nagararan et al. (2025); Loukil et al. (2025); Vivoda et al. (2025); Xie et al. (2025) |
| Governance, Institutions, Disclosure and Advanced Methodologies | Explores governance quality, ESG disclosure, regulation, policy uncertainty, AI, machine learning, digital analytics, and methodological innovation | Guenichi et al. (2025); Macpherson and Rimmel (2025); Kharlamova et al. (2025); Barman and Mahakud (2025); Rana et al. (2025); Gupta and Yan (2025); Lin et al. (2025); Pham (2025); M. Alam et al. (2025); Papathanasiou et al. (2025); Iacoviello (2025); Zambelli (2025); Halim et al. (2025); Bose et al. (2025) |
| Variable | Full Name | Description | |
|---|---|---|---|
| Y | GPR | Country GPR—Geo Political Risk | Index measuring a country’s geopolitical risk based on the percentage of news articles related to political tensions, conflicts, and instability. |
| X | NRD | Adjusted savings: natural resources depletion | Indicator of the reduction in natural capital due to the extraction of resources such as minerals, energy, and forests, expressed as a share of national income. |
| ECOA | Electricity from coal | Share of total electricity generation produced from coal-fired power plants. | |
| CH4 | Methane emissions | Amount of methane emissions generated by human activities such as agriculture, waste management, and energy production, a gas with high climate impact. | |
| SMDW | Safely managed drinking water | Percentage of the population with access to safely managed and continuously available drinking water services. | |
| REN | Renewable energy consumption | Share of total energy consumption derived from renewable energy sources. | |
| TCL | Tree Cover Loss | Area of forest cover lost over a given period, used as an indicator of deforestation and environmental degradation. |
| Dependent Variable: | GPR | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Time-series length | minimum 16, maximum 19 | |||||||||||
| Cross-Sectional units | 32 | |||||||||||
| Observation | 600 | |||||||||||
| Models | Random-effects (GLS) | Fixed-effects | Pooled OLS | WLS | ||||||||
| Coefficient | Std. Error | z | Coefficient | Std. Error | t-ratio | Coefficient | Std. Error | t-ratio | Coefficient | Std. Error | t-ratio | |
| const | −1.00 *** | 0.20 | −4.84 | −1.30 *** | 0.24 | −5.41 | −0.06 *** | 0.08 | −0.79 | 0.02 | 0.01 | 1.55 |
| NRD | −0.008 ** | 0.004 | −2.06 | −0.009 ** | 0.004 | −2.25 | −0.01 ** | 0.006 | −3.07 | −0.007 *** | 0.001 | −4.28 |
| ECOA | 0.001 ** | 0.0007 | 2.04 | 0.001 ** | 0.0007 | 2.03 | 0.001 *** | 0.0007 | 2.20 | 0.001 *** | 0.0002 | 6.62 |
| CH4 | 0.374 *** | 0.04 | 7.74 | 0.45 *** | 0.05 | 8.29 | 0.11 *** | 0.03 | 3.00 | 0.04 *** | 0.01 | 4.27 |
| SMDW | 0.007 *** | 0.001 | 3.93 | 0.009 *** | 0.002 | 3.91 | 0.002 *** | 0.0007 | 3.81 | 0.001 *** | 0.0001 | 6.99 |
| REN | 0.005 *** | 0.001 | 3.68 | 0.007 *** | 0.001 | 4.69 | −0.007 *** | 0.001 | −7.01 | −0.004 *** | 0.0002 | −14.91 |
| TCL | 3.11675 × 10−8 ** | 1.50640 × 10−8 | 2.06 | 3.13847 × 10−8 ** | 1.50946 × 10−8 | 2.07 | 1.02196 × 10−7 *** | 2.65296 × 10−8 | 3.85 | 6.11747 × 10−8 *** | 1.11685 × 10−8 | 5.47 |
| Variable | FE-TSLS | RE-TSLS (G2SLS) | FE (Driscoll–Kraay) |
|---|---|---|---|
| const | −3.08612 *** (0.780516) | −1.81298 *** (0.508133) | −0.944140 *** (0.333461) |
| ECOA | 0.00651966 ** (0.00272257) | −0.000976706 (0.00274878) | — |
| SMDW | 0.0314617 *** (0.00734710) | 0.0182224 *** (0.00458437) | 0.00853515 *** (0.00239437) |
| CH4 | 0.365362 ** (0.179757) | 0.405722 *** (0.136278) | 0.315042 ** (0.121230) |
| NRD | — | — | −0.00904700 ** (0.00369897) |
| REN | — | — | 0.00427132 *** (0.00127094) |
| Endogenous | ECOA, SMDW, CH4 | ECOA, SMDW, CH4 | — |
| Instruments (Z) | GDPG, COR, GINI, LEX, UNEM, INT, PDEN | GDPG, COR, GINI, LEX, UNEM, INT, PDEN | — |
| Observations (N) | 526 | 526 | 658 |
| Model test | Wald χ2(3) = 22.469 (p = 0.0001) | Wald χ2(3) = 16.628 (p = 0.0008) | F(4, 31) = 4.1675 (p = 0.0081) |
| R2 | 0.049 | 0.063 | Within R2 = 0.0858 |
| Metric | Density Based | Fuzzy C-Means | Hierarchical | Model Based | K-Means | Random Forest |
|---|---|---|---|---|---|---|
| Maximum diameter | 0.326 | 0.500 | 1.000 | 0.000 | 0.837 | 0.674 |
| Minimum separation | 0.161 | 0.000 | 1.000 | 0.665 | 0.238 | 0.558 |
| Pearson’s γ | 0.103 | 0.017 | 1.000 | 0.000 | 1.000 | 0.140 |
| Dunn index | 0.095 | 0.000 | 1.000 | 0.471 | 0.232 | 0.494 |
| Entropy | 0.000 | 0.822 | 1.000 | 0.997 | 0.943 | 0.601 |
| Calinski–Harabasz index | 0.653 | 0.000 | 0.816 | 0.001 | 1.000 | 0.509 |
| HH-Index | 1.000 | 0.585 | 0.000 | 0.219 | 0.055 | 0.743 |
| GPR | ACF | ELEC | NRD | NFD | AGL | AFF | WAT | CO2 | CDD | ECOA | ENI | EINT | ENU | |
| Cluster 1 | 0.384 | −0.701 | 0.760 | −0.667 | −0.009 | 0.476 | 0.014 | −0.412 | 0.346 | 0.284 | 0.470 | −0.666 | −0.093 | 0.705 |
| Cluster 2 | −0.503 | 0.800 | −0.465 | 1.725 | 0.502 | −0.961 | −0.522 | −0.351 | −0.744 | −0.487 | −1.008 | 1.133 | 0.027 | −0.455 |
| Cluster 3 | 0.384 | −0.535 | −1.545 | −0.806 | 0.261 | 0.721 | −0.717 | 0.648 | 0.346 | −1.164 | 1.591 | 0.897 | −1.323 | −0.356 |
| Cluster 4 | 0.272 | 0.306 | 0.622 | −0.564 | −0.504 | −0.342 | 0.865 | 0.703 | 0.241 | 0.327 | −0.484 | −0.706 | 0.215 | −0.405 |
| Cluster 5 | 0.384 | −0.556 | −0.589 | 0.800 | −0.122 | 0.423 | 1.693 | −0.507 | 0.346 | 0.570 | −0.300 | −1.528 | 1.440 | 0.429 |
| Cluster 6 | 0.384 | −0.395 | 0.499 | −0.270 | −0.288 | −0.219 | −0.193 | −0.730 | 0.346 | 0.567 | −0.374 | −0.104 | 0.288 | −0.333 |
| Cluster 7 | 0.384 | −0.545 | −1.061 | −0.199 | −1.081 | 0.874 | 0.663 | 0.419 | 0.346 | 0.598 | 0.492 | 1.596 | 0.606 | 0.137 |
| Cluster 8 | −1.677 | 1.649 | 0.537 | 1.409 | −0.403 | −1.159 | −0.208 | −0.370 | −1.112 | 0.045 | −1.258 | −0.513 | 0.160 | −0.422 |
| Cluster 9 | 0.356 | 0.028 | −1.196 | −0.738 | 3.784 | 1.165 | −0.296 | 2.447 | −0.109 | −0.643 | 0.778 | 0.695 | 0.960 | 1.095 |
| FOR | FOS | HI35 | HDD | LST | WSTR | CH4 | N2O | SMDW | SMSS | PM25 | REN | SPEI | TCL | |
| Cluster 1 | 0.226 | −0.322 | −0.296 | 0.304 | −0.192 | −0.540 | −0.508 | −0.447 | 0.612 | 0.778 | −0.011 | −0.185 | 0.035 | 0.070 |
| Cluster 2 | −1.213 | 0.030 | 1.054 | −0.079 | 1.289 | 1.154 | 0.611 | 0.568 | −0.720 | −1.398 | −0.325 | 0.621 | −0.693 | −0.851 |
| Cluster 3 | 1.548 | −0.350 | −1.626 | 1.560 | −0.197 | 0.071 | −1.365 | 1.449 | 0.633 | 0.398 | 0.622 | 0.261 | −0.673 | −0.793 |
| Cluster 4 | 0.222 | −0.350 | −0.104 | 0.065 | −0.197 | −0.017 | 0.792 | −0.309 | 0.115 | 0.020 | −0.286 | −0.380 | 0.187 | −0.351 |
| Cluster 5 | −1.027 | −0.214 | 1.569 | −0.742 | −0.197 | −0.622 | 0.971 | −0.844 | 0.679 | 0.515 | −0.473 | −0.441 | 4.004 | 3.111 |
| Cluster 6 | −0.414 | −0.349 | 0.471 | −0.541 | −0.164 | −0.635 | −0.323 | −0.104 | 0.479 | 0.187 | −0.330 | −0.391 | −0.073 | 0.169 |
| Cluster 7 | −0.040 | −0.143 | −0.194 | −1.152 | −0.197 | −0.652 | 0.358 | −0.992 | 0.588 | 0.865 | 0.265 | −0.414 | 0.138 | 1.234 |
| Cluster 8 | −1.149 | 1.853 | 1.261 | −0.926 | −0.115 | 0.367 | 0.970 | 0.237 | −2.006 | −1.202 | 0.113 | −0.323 | 0.232 | 0.489 |
| Cluster 9 | 2.375 | −0.348 | −2.065 | −0.376 | −0.197 | 2.147 | −0.295 | −1.005 | −0.744 | −0.789 | 0.400 | 3.221 | −0.683 | −0.822 |
| Feature Importance | Mean Decrease in Gini Index | Feature Importance | Mean Decrease in Gini Index |
|---|---|---|---|
| HDD | 38.579 | ENI | 20.409 |
| LST | 35.864 | NRD | 18.926 |
| ENU | 33.333 | TCL | 18.739 |
| CDD | 30.943 | REN | 18.035 |
| SMDW | 27.971 | CH4 | 17.672 |
| WAT | 26.039 | PM25 | 16.723 |
| AFF | 25.857 | N2O | 15.744 |
| CO2 | 25.358 | FOS | 15.436 |
| WSTR | 24.620 | EINT | 13.549 |
| AGL | 24.450 | ELEC | 13.399 |
| SMSS | 24.095 | HI35 | 11.669 |
| FOR | 22.500 | ECOA | 11.394 |
| ACF | 20.975 | GPR | 9.214 |
| SPEI | 3.726 | NFD | 5.262 |
| Metric | Boosting | Decision Tree | KNN | Linear Regression | Random Forest | Regularized Linear | SVM |
|---|---|---|---|---|---|---|---|
| MSE | 0.35 | 0.00 | 1.00 | 0.58 | 0.96 | 0.60 | 0.53 |
| MSE (scaled) | 0.51 | 0.00 | 1.00 | 0.68 | 0.99 | 0.66 | 0.24 |
| RMSE | 0.25 | 0.00 | 1.00 | 0.45 | 0.92 | 0.47 | 0.40 |
| MAE/MAD | 0.14 | 0.25 | 1.00 | 0.12 | 0.85 | 0.00 | 0.23 |
| MAPE | 0.36 | 0.86 | 1.00 | 0.18 | 0.75 | 0.00 | 0.30 |
| R2 | 0.43 | 0.00 | 1.00 | 0.64 | 0.98 | 0.61 | 0.22 |
| Feature Importance Metrics | Mean Dropout Loss | Feature Importance Metrics | Mean Dropout Loss |
|---|---|---|---|
| WAT | 0.190 | WSTR | 0.083 |
| N2O | 0.165 | SMSS | 0.082 |
| FOS | 0.110 | NRD | 0.081 |
| SPEI | 0.109 | NFD | 0.079 |
| TCL | 0.109 | ENU | 0.079 |
| REN | 0.099 | HI35 | 0.078 |
| EINT | 0.097 | SMDW | 0.075 |
| ECOA | 0.095 | ACF | 0.075 |
| AFF | 0.092 | ELEC | 0.074 |
| AGL | 0.092 | HDD | 0.074 |
| PM25 | 0.088 | ENI | 0.074 |
| CO2 | 0.087 | LST | 0.074 |
| CH4 | 0.085 | CDD | 0.074 |
| FOR | 0.084 |
| Case | Predicted | Base | ACF | ELEC | NRD | NFD | AGL | AFF | WAT | CO2 | CDD | ECOA | ENI | EINT |
| 1 | 0.115 | 0.224 | 0.003 | 0.003 | 0.006 | 4.247 × 10−4 | −0.036 | 0.002 | 8.904 × 10−4 | 0.004 | 3.699 × 10−4 | −0.062 | 0.001 | 0.004 |
| 2 | 0.085 | 0.224 | −8.767 × 10−4 | 0.004 | 0.008 | 4.110 × 10−5 | −0.033 | −0.003 | −0.011 | 0.003 | 0.002 | −0.003 | 2.055 × 10−4 | −0.017 |
| 3 | 0.190 | 0.224 | 0.002 | 0.003 | 0.006 | 0.001 | −0.004 | −0.002 | −0.012 | 0.004 | 0.007 | −0.008 | 5.479 × 10−4 | 0.008 |
| 4 | 0.190 | 0.224 | 0.002 | 0.003 | 0.008 | 4.521 × 10−4 | −0.012 | 0.003 | 0.011 | −0.001 | 0.009 | −0.028 | 0.001 | 0.009 |
| 5 | 0.185 | 0.224 | 0.002 | 0.005 | 7.123 × 10−4 | 0.001 | 0.010 | 3.288 × 10−4 | 0.025 | 0.003 | 0.005 | −0.070 | 0.002 | 0.024 |
| ENU | FOR | FOS | HI35 | HDD | LST | WSTR | CH4 | N2O | SMDW | SMSS | PM25 | REN | SPEI | TCL |
| −0.008 | −0.004 | −0.009 | −0.001 | 1.096 × 10−4 | −0.005 | −0.031 | −0.019 | 0.017 | 3.151 × 10−4 | 0.008 | −0.009 | 0.041 | −0.009 | −0.006 |
| −0.027 | −0.006 | −0.011 | −0.002 | −1.096 × 10−4 | 0.004 | −5.479 × 10−5 | −0.067 | 0.017 | −6.164 × 10−4 | 0.002 | 7.808 × 10−4 | 0.018 | −0.010 | −0.007 |
| −0.020 | −0.005 | 0.001 | 1.507 × 10−4 | 0.009 | 0.013 | −0.022 | −0.060 | 0.019 | −0.002 | 0.005 | 0.023 | 0.004 | 0.001 | −0.008 |
| −0.008 | 0.013 | −0.019 | −1.644 × 10−4 | 0.012 | −0.003 | −0.038 | −0.051 | 0.019 | −0.004 | 0.008 | 0.039 | 0.000 | 0.002 | −0.008 |
| 0.011 | 0.006 | −0.029 | −9.589 × 10−5 | 0.002 | 0.004 | −0.008 | −0.075 | 0.019 | −9.315 × 10−4 | 0.002 | 0.011 | −0.001 | 0.022 | −0.011 |
| Variable | Full Name | Description | |
|---|---|---|---|
| Y | GPR | Country GPR—Geo Political Risk | Index measuring a country’s geopolitical risk based on the percentage of news articles related to political tensions, conflicts, and instability. |
| X | MIG | Net migration | Difference between the number of immigrants and emigrants in a country during a given period, reflecting migration balance and demographic pressure. |
| UNEM | Unemployment | Share of the labor force that is without work but actively seeking employment, indicator of economic and social conditions. | |
| POP65 | Population 65+ | Percentage of the total population aged 65 years or more, used as a measure of population ageing and demographic structure. |
| Time-Series Length | Minimum 22, Maximum 24 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dependent variable | GPR | |||||||||||
| Cross-sectional units | 42 | |||||||||||
| Observations | 1006 | |||||||||||
| Models | Fixed-effects | Random-effects (GLS) | Pooled OLS | WLS | ||||||||
| Coefficient | Std. Error | t-ratio | Coefficient | Std. Error | z | Coefficient | Std. Error | t-ratio | Coefficient | Std. Error | t-ratio | |
| const | 0.14 ** | 0.05 | 2.57 | 0.14 * | 0.08 | 1.77 | 0.26 *** | 0.03 | 7.62 | 0.11 *** | 0.01 | 8.90 |
| MIG | 5.84411 × 10−8 * | 3.47289 × 10−8 | 1.68 | 8.04722 × 10−8 ** | 3.43160 × 10−8 | 2.34 | 8.12297 × 10−7 *** | 3.67460 × 10−8 | 22.11 | 2.68920 × 10−7 *** | 2.60941 × 10−8 | 10.31 |
| UNEM | −0.006 ** | 0.003 | −2.21 | −0.006 ** | 0.002 | −2.24 | −0.01 *** | 0.002 | −4.03 | −0.003 *** | 0.0008 | −4.37 |
| POP65 | 0.01 *** | 0.003 | 2.87 | 0.01 *** | 0.003 | 2.93 | −0.001 | 0.002 | −0.57 | 0.001 | 0.0007 | 1.40 |
| Section | Item | Model 1—FE (HAC) | Model 2—FE-TSLS | Model 3—RE-G2SLS |
|---|---|---|---|---|
| General Info | Observations | 1006 | 861 | 861 |
| Cross-sectional units | 42 | 42 | 42 | |
| Time-series length | 22–24 | 13–21 | 13–21 | |
| Dependent variable | GPR | y | y | |
| Estimator | Fixed Effects (LSDV) | Fixed Effects TSLS | Random Effects G2SLS | |
| Robust SE | HAC | Yes | Yes | |
| Endogenous variables | — | UNEM, POP65 | UNEM, POP65 | |
| Instruments | — | SPEI, WSTR, WAT, LST, CDD, HDD | SPEI, WSTR, WAT, LST, CDD, HDD | |
| Coefficients | const | 0.143954 (0.0820808) p = 0.0869 | −0.808788 (0.501052) p = 0.1065 | −0.358175 (0.277254) p = 0.1964 |
| UNEM | −0.00674719 (0.00466180) p = 0.1554 | 0.0583873 (0.0320673) p = 0.0686 | 0.0257912 (0.0237899) p = 0.2783 | |
| MIG | 5.84411 × 10−8 (3.99955 × 10−8) p = 0.1516 | — | — | |
| POP65 | 0.0108993 (0.00584574) p = 0.0694 | 0.0487141 (0.0228797) p = 0.0332 | 0.0318929 (0.0149782) p = 0.0332 | |
| Model Fit & Stats | Mean dep. var | 0.232197 | — | — |
| S.D. dep. var | 0.457230 | — | — | |
| SSR | 38.17959 | 40.0517 | 618.942 | |
| S.E. regression | 0.199321 | — | — | |
| sigma-hat | — | 0.221411 (df = 817) | 0.84934 (df = 858) | |
| sigma-hat (within) | 0.13507279 | 0.22141125 | — | |
| sigma-hat (between) | 0.44975072 | 0.4109164 | — | |
| R-squared | LSDV 0.818283; Within 0.021484 | 0.001120 | 0.000998 | |
| Log-likelihood | 218.0802 | — | — | |
| Akaike | −346.1605 | — | — | |
| Schwarz | −125.0423 | — | — | |
| Hannan-Quinn | −262.1446 | — | — | |
| rho | 0.426115 | — | — | |
| Durbin-Watson | 1.079741 | — | — | |
| Wald χ2 | — | 4.53341 (p = 0.1037) | 5.05168 (p = 0.0800) | |
| Diagnostic Tests | Joint test regressors | F(3, 41) = 2.19173 (p = 0.10358) | — | — |
| Group intercepts test | Welch F(41,336.2) = 44.1097 (p = 2.7398 × 10−111) | F(41,817) = 67.8359 (p = 0.0000) | — | |
| Heteroskedasticity | χ2(42) = 668,171 (p = 0) | — | — | |
| Normality | χ2(2) = 1405.14 (p = 7.53969 × 10−306) | — | — | |
| Wooldridge autocorrelation | F(1, 41) = 7.32631 (p = 0.00986009) | — | — | |
| Pesaran CD | z = 38.4238 (p = 0) | — | — |
| Metric | Density Based | Fuzzy C-Means | Hierarchical | Model Based | k-Means | Random Forest |
|---|---|---|---|---|---|---|
| Maximum diameter | 0.01 | 0.58 | 1.00 | 0.00 | 0.80 | 0.74 |
| Minimum separation | 0.07 | 0.00 | 1.00 | 0.56 | 0.20 | 0.56 |
| Pearson’s γ | 0.00 | 0.32 | 1.00 | 0.08 | 0.62 | 0.29 |
| Dunn index | 0.02 | 0.00 | 1.00 | 0.35 | 0.15 | 0.46 |
| Entropy | 0.00 | 0.56 | 1.00 | 0.74 | 0.55 | 0.45 |
| Calinski–Harabasz index | 0.00 | 0.31 | 0.26 | 0.09 | 1.00 | 0.49 |
| HH index | 1.00 | 0.75 | 0.00 | 0.56 | 0.71 | 0.86 |
| GPR | ESR | FER | FPI | GINI | GEDU | HOSP | INC20 | INT | LFP | LEX | |
| Cluster 1 | −0.984 | 0.763 | −0.681 | −0.310 | 1.173 | 1.700 | 0.410 | −0.493 | −0.782 | −1.563 | −0.742 |
| Cluster 2 | 0.735 | −0.196 | 0.587 | −0.089 | 0.029 | −0.213 | −0.053 | 0.795 | −0.556 | 0.151 | 0.831 |
| Cluster 3 | 0.539 | 0.116 | 0.360 | 0.159 | −0.713 | −0.679 | 1.356 | 0.276 | 0.849 | 0.686 | 0.519 |
| Cluster 4 | −0.395 | 0.028 | −0.652 | −0.025 | −0.319 | 0.755 | −0.600 | 1.514 | 0.056 | −0.753 | −0.440 |
| Cluster 5 | 0.909 | −0.084 | 0.889 | 0.016 | −0.237 | −1.067 | 0.379 | −0.476 | −0.198 | 1.128 | 1.037 |
| Cluster 6 | −1.935 | 1.122 | −1.299 | 0.292 | 1.003 | 0.183 | −0.134 | −0.422 | −1.164 | 0.315 | −1.806 |
| Cluster 7 | 0.168 | −0.788 | 0.197 | 0.260 | −0.437 | −0.456 | −0.921 | −0.008 | 1.536 | 0.459 | 0.789 |
| Cluster 8 | −0.054 | −0.946 | 0.164 | −0.605 | −0.164 | −0.808 | −0.453 | −0.403 | 1.278 | 0.767 | −0.494 |
| Cluster 9 | 0.341 | 2.780 | 0.529 | −0.157 | 1.428 | 0.801 | 0.285 | 0.388 | −0.390 | −1.259 | 0.147 |
| Cluster 10 | 0.453 | −1.053 | −0.106 | 0.492 | −0.961 | 0.028 | −0.252 | −0.384 | −0.374 | −0.410 | −0.208 |
| U5MR | MIG | POP65 | PDEN | OVW | UND | WIP | FLFP | PRIM | GPI | UNEM | |
| Cluster 1 | −0.811 | −0.312 | −0.457 | 0.719 | −0.821 | −1.271 | 0.764 | 0.915 | 0.533 | −0.122 | −0.144 |
| Cluster 2 | 0.649 | 0.674 | 0.538 | 0.769 | −0.098 | 0.293 | −0.356 | −0.404 | −0.359 | −0.128 | −0.165 |
| Cluster 3 | 0.692 | −0.465 | −0.125 | −0.572 | 0.808 | 0.627 | −0.128 | −0.504 | −0.359 | 0.310 | 0.468 |
| Cluster 4 | −0.698 | −0.559 | 1.003 | 0.210 | −0.503 | −0.724 | −0.340 | 0.306 | −0.340 | −0.095 | −0.816 |
| Cluster 5 | 0.619 | 0.925 | −0.209 | −0.083 | −0.114 | 0.570 | 0.012 | −0.602 | −0.359 | −0.312 | 1.269 |
| Cluster 6 | −1.628 | −0.724 | −0.553 | −1.653 | 0.334 | −1.534 | 0.766 | 2.112 | 2.665 | −0.745 | −1.032 |
| Cluster 7 | 0.835 | 0.978 | 0.369 | −0.745 | 0.837 | 1.194 | −0.031 | −0.542 | −0.348 | −0.642 | 0.079 |
| Cluster 8 | −0.886 | −0.771 | −0.299 | 0.425 | −0.269 | 0.225 | −0.727 | −0.176 | −0.359 | 0.185 | −1.077 |
| Cluster 9 | 0.794 | 0.020 | −0.284 | 0.358 | 1.816 | −0.775 | −1.164 | −0.504 | −0.359 | −0.173 | −0.420 |
| Cluster 10 | 0.762 | −0.291 | 0.027 | 0.135 | −0.031 | 0.957 | 0.197 | −0.569 | −0.359 | 1.537 | 0.464 |
| Feature Importance | Mean Decrease in Gini Index | Feature Importance | Mean Decrease in Gini Index |
|---|---|---|---|
| U5MR | 23.097 | GEDU | 13.975 |
| POP65 | 22.210 | LFP | 13.515 |
| GINI | 21.066 | PDEN | 12.408 |
| ESR | 20.532 | OVW | 12.281 |
| INT | 18.356 | MIG | 11.162 |
| LEX | 18.348 | PRIM | 9.745 |
| INC20 | 17.162 | UNEM | 9.303 |
| FLFP | 16.647 | GPI | 8.590 |
| HOSP | 16.244 | UND | 8.250 |
| FER | 14.986 | GPR | 8.102 |
| WIP | 14.054 | FPI | 6.520 |
| Metric | Boosting | Decision Tree | KNN | Linear Regression | Random Forest | Regularized Linear | SVM |
|---|---|---|---|---|---|---|---|
| MSE | 0.71 | 0.00 | 1.00 | 0.75 | 0.71 | 0.85 | 0.92 |
| MSE (scaled) | 0.00 | — | 1.00 | 0.76 | 0.81 | 0.40 | 0.69 |
| RMSE | 0.52 | 0.00 | 1.00 | 0.56 | 0.52 | 0.68 | 0.78 |
| MAE/MAD | 0.46 | 0.00 | 1.00 | 0.43 | 0.58 | 0.62 | 0.76 |
| MAPE | 0.54 | 0.00 | 1.00 | 0.43 | 0.39 | 0.57 | 0.63 |
| R2 | 0.00 | — | 1.00 | 0.70 | 0.78 | 0.28 | 0.59 |
| Feature Importance Metrics | Mean Dropout Loss | UND | 0.089 |
|---|---|---|---|
| MIG | 0.355 | INC20 | 0.088 |
| PDEN | 0.116 | INT | 0.088 |
| FER | 0.111 | WIP | 0.088 |
| OVW | 0.110 | U5MR | 0.087 |
| UNEM | 0.102 | POP65 | 0.086 |
| FPI | 0.095 | GINI | 0.086 |
| GEDU | 0.094 | ESR | 0.086 |
| HOSP | 0.093 | LFP | 0.085 |
| LEX | 0.090 | FLFP | 0.085 |
| GPI | 0.089 | PRIM | 0.085 |
| Case | Predicted | Base | ESR | FER | FPI | GINI | GEDU | HOSP | INC20 | INT | LFP |
| 1 | 0.020 | 0.210 | −0.008 | −0.001 | −0.004 | −0.002 | −0.010 | −6.076 × 10−4 | −0.014 | −8.210 × 10−5 | −0.009 |
| 2 | 0.020 | 0.210 | 0.007 | 0.010 | −0.013 | 8.210 × 10−4 | −0.010 | −1.642 × 10−5 | 0.020 | 4.598 × 10−4 | −0.017 |
| 3 | 0.077 | 0.210 | −0.004 | −0.012 | −0.035 | 0.000 | 0.002 | −0.011 | 0.005 | −0.001 | −0.018 |
| 4 | 0.163 | 0.210 | −9.852 × 10−4 | −0.004 | −0.035 | 0.052 | −0.002 | −0.007 | −0.008 | 0.006 | −0.018 |
| 5 | 0.040 | 0.210 | −0.015 | −4.105 × 10−4 | 0.005 | 2.299 × 10−4 | −0.027 | 0.002 | 0.003 | −0.116 | −0.026 |
| LEX | U5MR | MIG | POP65 | PDEN | OVW | UND | WIP | FLFP | PRIM | GPI | UNEM |
| −0.006 | 0.000 | −0.041 | 0.005 | −0.020 | −0.017 | 4.433 × 10−4 | −0.009 | −0.002 | −0.037 | −0.013 | −3.777 × 10−4 |
| 0.015 | 3.284 × 10−5 | −0.041 | 0.010 | −0.020 | −0.034 | 8.210 × 10−5 | −0.029 | −0.001 | −0.018 | −0.033 | −0.035 |
| −0.002 | 0.001 | −0.041 | −0.009 | 0.037 | −0.014 | 1.314 × 10−4 | −0.007 | −0.004 | 5.583 × 10−4 | −0.015 | −0.005 |
| 0.001 | 0.002 | −0.041 | 9.852 × 10−4 | 0.029 | −0.016 | 8.867 × 10−4 | 1.806 × 10−4 | 8.210 × 10−5 | 9.524 × 10−4 | −0.006 | 2.463 × 10−4 |
| 0.019 | 1.149 × 10−4 | −0.045 | 0.029 | −0.022 | −0.046 | 9.195 × 10−4 | 0.141 | −0.011 | −0.055 | −0.010 | 0.003 |
| Variable | Full Name | Description |
|---|---|---|
| GPR | Country GPR—Geo Political Risk | Index measuring a country’s geopolitical risk based on the percentage of news articles related to political tensions, conflicts, and instability. |
| COR | Control of Corruption | Indicator measuring the extent to which public power is exercised for private gain, including both petty and grand forms of corruption, and the effectiveness of anti-corruption policies. |
| PSAV | Political Stability | Measure of the likelihood of political instability, government disruption, or violence, including terrorism and social unrest. |
| STJA | Scientific & Technical Articles | Number of scientific and technical journal articles published, used as a proxy for innovation capacity and knowledge development in a country. |
| Models | WLS | Random-Effects (GLS) | Pooled OLS | Fixed-Effects | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Time-series length | 22 | |||||||||||
| Dependent variable | GPR | |||||||||||
| Cross-Sectional Units | 42 | |||||||||||
| Observations | 924 | |||||||||||
| Coefficient | Std. Error | t-ratio | Coefficient | Std. Error | z | Coefficient | Std. Error | t-ratio | Coefficient | Std. Error | t-ratio | |
| const | 0.02 *** | 0.003 | 8.02 | 0.09 ** | 0.04 | 2.27 | 0.01 | 0.01 | 1.36 | 0.10 *** | 0.02 | 3.91 |
| COR | 0.06 *** | 0.004 | 12.91 | 0.17 *** | 0.0 | 5.55 | 0.13 *** | 0.01 | 7.85 | 0.19 *** | 0.04 | 4.53 |
| PSAV | −0.09 *** | 0.005 | −16.76 | −0.17 *** | 0.02 | −7.42 | −0.17 *** | 0.02 | −8.33 | −0.17 *** | 0.02 | −7.05 |
| STJA | 2.46654 × 10−6 *** | 1.32101 × 10−7 | 18.67 | 1.08737 × 10−6 | 1.81757 × 10−7 | 5.98 | 3.21973 × 10−6 *** | 1.22395 × 10−7 | 26.31 | 6.24325 × 10−7 *** | 1.93110 × 10−7 | 3.23 |
| Item | FE (HAC) | FE–TSLS (IV) | RE–G2SLS (IV) |
|---|---|---|---|
| Observations | 924 | 822 | 822 |
| Cross-sectional units | 42 | 42 | 42 |
| Time length | 22 | 13–20 | 13–20 |
| Dependent variable | GPR | y | y |
| Estimator | FE (LSDV) | FE–TSLS | RE–G2SLS |
| Robust SE | HAC | Yes | Yes |
| Endogenous | — | COR, PSAV, STJA | COR, PSAV, STJA |
| Instruments | — | SPEI, LST, CDD, HDD, HI35, WAT, WSTR | SPEI, LST, CDD, HDD, HI35, WAT, WSTR |
| const | 0.100682 (0.0455) p = 0.0325 ** | 0.177652 (0.1197) p = 0.1379 | 0.0619539 (0.0741) p = 0.4028 |
| COR | 0.199479 (0.1017) p = 0.0566 * | 0.0312068 (0.1833) p = 0.8648 | 0.270435 (0.1243) p = 0.0296 ** |
| PSAV | −0.171314 (0.0683) p = 0.0161 ** | −0.237204 (0.0951) p = 0.0127 ** | −0.268397 (0.1210) p = 0.0266 ** |
| STJA | 6.24325 × 10−7 (2.53 × 10−7) p = 0.0178 ** | 9.57605 × 10−7 (8.56 × 10−7) p = 0.2631 | 5.26659 × 10−7 (1.10 × 10−6) p = 0.6322 |
| Mean dep. var | 0.227771 | — | — |
| S.D. dep. var | 0.452484 | — | — |
| SSR | 40.81468 | 19.8286 | 798.051 |
| S.E. regression | 0.215483 | — | — |
| sigma-hat | — | 0.159748 | 0.987731 |
| sigma-hat (within) | — | 0.15974805 | — |
| sigma-hat (between) | — | 0.3653933 | — |
| R-squared | 0.784022 (Within 0.078325) | 0.048306 | 0.075313 |
| Log-likelihood | 130.1884 | — | — |
| Akaike | −170.3769 | — | — |
| Schwarz | 46.91517 | — | — |
| Hannan-Quinn | −87.47462 | — | — |
| rho | 0.562045 | — | — |
| Durbin-Watson | 0.902322 | — | — |
| Wald χ2 | — | 10.2833 (p = 0.0163) | 6.01699 (p = 0.1108) |
| Joint regressors | F(3,41) = 9.81385 (p = 5.27 × 10−5) | — | — |
| Group intercepts | Welch F = 32.75 (p = 2.57 × 10−89) | F(41,777) = 34.71 (p = 0.0000) | — |
| Heteroskedasticity | χ2(42) = 177,244 (p = 0) | — | — |
| Normality | χ2(2) = 6898.27 (p = 0) | — | — |
| Wooldridge | F(1,41) = 60.96 (p = 1.22 × 10−9) | — | — |
| Pesaran CD | z = 34.07 (p = 2.05 × 10−254) | — | — |
| Metric | Density Based | Fuzzy C-Means | Hierarchical | Model Based | K-Means | Random Forest |
|---|---|---|---|---|---|---|
| Maximum diameter | 0.11 | 0.16 | 1.00 | 0.09 | 0.79 | 0.00 |
| Minimum separation | 1.00 | 0.00 | 0.35 | 0.02 | 0.15 | 0.09 |
| Pearson’s γ | 0.63 | 0.20 | 1.00 | 0.00 | 0.40 | 0.07 |
| Dunn index | 1.00 | 0.00 | 0.77 | 0.00 | 0.42 | 0.07 |
| Entropy | 1.00 | 0.11 | 0.58 | 0.00 | 0.09 | 0.21 |
| Calinski–Harabasz index | 0.00 | 0.33 | 0.42 | 0.30 | 1.00 | 0.34 |
| HH Index | 0.00 | 0.89 | 0.64 | 1.00 | 0.95 | 0.88 |
| GPR | COR | GDPG | GOV | PAT | PSAV | REG | RDG | ROL | STJA | VAC | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Cluster 1 | 0.748 | −0.175 | 0.879 | 4.779 | 1.385 | 0.263 | 1.043 | 0.903 | 0.948 | 3.847 | 0.615 |
| Cluster 2 | 0.900 | −0.453 | 0.847 | 0.636 | 0.355 | 0.636 | 0.882 | 0.829 | 0.907 | 0.451 | 0.744 |
| Cluster 3 | −0.912 | 1.267 | −0.866 | −0.171 | −0.034 | −0.431 | −0.730 | −1.022 | −0.852 | −0.014 | −1.981 |
| Cluster 4 | 1.337 | −0.263 | 1.271 | −0.366 | −0.261 | 1.144 | 0.756 | 1.153 | 1.218 | −0.278 | 1.051 |
| Cluster 5 | −1.347 | 0.258 | −1.489 | 0.161 | −0.215 | −1.439 | −0.736 | −1.496 | −1.504 | −0.291 | −1.422 |
| Cluster 6 | −0.830 | 1.092 | −0.419 | 0.874 | 7.280 | −0.613 | 0.520 | −1.197 | −0.952 | 4.936 | −2.325 |
| Cluster 7 | 0.120 | 0.253 | 0.476 | 0.258 | 0.174 | −0.628 | 2.265 | 0.436 | 0.375 | −0.191 | 0.173 |
| Cluster 8 | −0.912 | 0.429 | −0.905 | −0.357 | −0.263 | −0.894 | −0.906 | −0.837 | −0.923 | −0.333 | −0.452 |
| Cluster 9 | −0.774 | −2.285 | −0.793 | −0.313 | −0.256 | −0.417 | −0.661 | −0.814 | −0.789 | −0.258 | −0.310 |
| Cluster 10 | 0.041 | 0.070 | 0.054 | −0.387 | −0.238 | 0.480 | −0.441 | 0.268 | 0.161 | −0.276 | 0.357 |
| Metric | Boosting | Decision Tree | KNN | Linear Regression | Random Forest | Regularized Linear | SVM |
|---|---|---|---|---|---|---|---|
| MSE | 0.44 | 1.00 | 0.96 | 0.49 | 0.00 | 0.82 | 0.64 |
| MSE (scaled) | 0.52 | 0.67 | 1.00 | 0.00 | 0.66 | 0.78 | 0.70 |
| RMSE | 0.36 | 1.00 | 0.93 | 0.41 | 0.00 | 0.72 | 0.59 |
| MAE/MAD | 0.27 | 0.68 | 1.00 | 0.00 | 0.53 | 0.36 | 0.48 |
| MAPE | 0.00 | 0.77 | 1.00 | 0.00 | 0.88 | 0.00 | 0.63 |
| R2 | 0.53 | 0.69 | 1.00 | 0.00 | 0.68 | 0.82 | 0.69 |
| Feature Importance Metrics | STJA | PSAV | RDG | COR | GOV | ROL | REG | GDPG | VAC | PAT |
|---|---|---|---|---|---|---|---|---|---|---|
| Mean dropout loss | 0.489 | 0.371 | 0.183 | 0.170 | 0.164 | 0.159 | 0.157 | 0.156 | 0.152 | 0.150 |
| Case | Predicted | Base | COR | GDPG | GOV | PAT | PSAV | REG | RDG | ROL | STJA | VAC |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 0.040 | 0.231 | −0.013 | −0.108 | −0.013 | −0.008 | 0.175 | −0.113 | −0.022 | 0.003 | −0.081 | −0.010 |
| 2 | 0.040 | 0.231 | −0.040 | −0.004 | −0.061 | −0.005 | 0.164 | −0.098 | −0.004 | −0.040 | −0.086 | −0.017 |
| 3 | 0.020 | 0.231 | −0.044 | −0.001 | −0.036 | −0.006 | 0.143 | −0.101 | −0.009 | −0.039 | −0.093 | −0.024 |
| 4 | 0.090 | 0.231 | 0.018 | −0.018 | −0.014 | −0.008 | −0.050 | 0.005 | −0.004 | 0.010 | −0.088 | 0.006 |
| 5 | 0.080 | 0.231 | 0.018 | −0.010 | −0.017 | −0.014 | −0.050 | 0.008 | 0.002 | −0.012 | −0.087 | 0.010 |
| ESG Component | Panel Data Models | Clustering Analysis | ML Regression Models |
|---|---|---|---|
| E—Environment | Environmental variables display a strong and statistically significant impact on GPR. Higher emissions (CO2, CH4), fossil fuel dependence, deforestation, and water stress increase geopolitical risk, while renewable energy shows mixed short-term effects. Fixed-effects dominance indicates that environmental risks are deeply embedded in country-specific structural characteristics. | Clustering reveals distinct environmental risk profiles. Clusters characterized by high pollution, climate stress, and resource depletion are consistently associated with higher GPR. Random Forest clustering produces the most balanced and interpretable environmental regimes, highlighting systemic environmental vulnerability as a geopolitical risk multiplier. | ML regressions, particularly KNN, confirm the nonlinear relationship between environmental stress and GPR. Water scarcity, climate extremes, emissions, and land degradation emerge as the most influential predictors, indicating that localized environmental pressures strongly affect geopolitical risk dynamics. |
| S—Social | Social indicators show a significant but heterogeneous relationship with GPR. Migration flows, population ageing, inequality, and access to basic services affect geopolitical risk differently across countries. Unemployment and demographic pressures are relevant, but their effects depend on structural and institutional contexts. | Social clustering identifies groups with contrasting vulnerability profiles. Clusters with high inequality, demographic stress, and weak access to services tend to exhibit higher GPR, while socially inclusive clusters show lower risk. Balanced cluster structures suggest that social fragility operates through combined effects rather than isolated indicators. | ML regression highlights the importance of migration, inequality, health outcomes, and education. KNN results indicate strong local and nonlinear effects, confirming that social instability and exclusion are key drivers of geopolitical risk when interacting with other societal factors. |
| G—Governance | Governance variables have a robust and stabilizing effect on GPR. Political stability, rule of law, regulatory quality, corruption control, and government effectiveness significantly reduce geopolitical risk. Innovation-related governance indicators (R&D, scientific output) also play a relevant role, sometimes increasing exposure due to higher global relevance. | Governance clustering separates countries into distinct institutional regimes. Strong-governance clusters are associated with lower GPR, while weak-governance clusters exhibit higher risk. The clustering results confirm that governance quality is a central structural determinant of geopolitical stability. | ML regression models show governance as one of the strongest predictors of GPR. Political stability and institutional quality dominate feature importance rankings. KNN captures nonlinear interactions, revealing that both very strong and very weak governance configurations are associated with distinct geopolitical risk patterns. |
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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
Anobile, F.; Costantiello, A.; Drago, C.; Arnone, M.; Leogrande, A. Beyond Shocks: How ESG Fundamentals Shape Geopolitical Risk Across Countries. Economies 2026, 14, 96. https://doi.org/10.3390/economies14030096
Anobile F, Costantiello A, Drago C, Arnone M, Leogrande A. Beyond Shocks: How ESG Fundamentals Shape Geopolitical Risk Across Countries. Economies. 2026; 14(3):96. https://doi.org/10.3390/economies14030096
Chicago/Turabian StyleAnobile, Fabio, Alberto Costantiello, Carlo Drago, Massimo Arnone, and Angelo Leogrande. 2026. "Beyond Shocks: How ESG Fundamentals Shape Geopolitical Risk Across Countries" Economies 14, no. 3: 96. https://doi.org/10.3390/economies14030096
APA StyleAnobile, F., Costantiello, A., Drago, C., Arnone, M., & Leogrande, A. (2026). Beyond Shocks: How ESG Fundamentals Shape Geopolitical Risk Across Countries. Economies, 14(3), 96. https://doi.org/10.3390/economies14030096

