Submitted:
31 July 2026
Posted:
04 August 2026
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Theoretical Background
3. Methodology
3.1. Information Sources and Data Processing
3.2. Construction of the Composite Socioeconomic Performance Index
3.3. Statistical Validation and Robustness Analysis of the Composite Index
3.4. Matrix of Transformed Variables Used for Validation
3.5. Correlation Matrix
3.6. Statistical Adequacy Tests
| Test | Statistic | Estimated value | Criterion | Interpretation |
|---|---|---|---|---|
| Kaiser-Meyer-Olkin | KMO | 0,511 | KMO>0,50 | Minimum acceptable adequacy |
| Bartlett | X2 | 139,59 | p<0,05 | Matrix suitable for dimensionality reduction |
| Bartlett | gl | 28 | According to number of variables | 8 variables considered |
| Bartlett | Sig. | < 0,001 | p<0,05 | Identity matrix rejected |
3.7. Eigenvalues and Explained Variance
3.8. Factor Loadings and Communalities
3.9. Comparison of Weighting Schemes
3.10. Ranking Sensitivity Analysis
3.11. Spearman Correlation Between Rankings
3.12. Percentage Contribution of Each Variable to the Index
3.13. Sensitivity to Extreme Values
4. Results
5. Discussion
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Acknowledgments
Abbreviations
| DANE | National Administrative Department of Statistics |
| GDP | Gross Domestic Product |
| PCA | Principal Component Analysis |
| KMO | Kaiser-Meyer-Olkin |
| ICE | Composite Impact Index |
| CL | Logistics Complex |
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| Variable | Unit of measurement | Relationship with territorial development | Source of information | Methodological treatment |
|---|---|---|---|---|
| Gross domestic product | Millions of pesos | Positive | DANE / territorial or departmental accounts | Base-100 transformation |
| Population | Number of inhabitants | Positive | DANE / population projections | Base-100 transformation |
| Firms associated with logistics | Number of firms | Positive | Chambers of commerce / territorial business registries | Base-100 transformation |
| Municipal budget | Millions of pesos | Positive | Municipal governments / approved budgets | Harmonization into millions of pesos and base-100 transformation |
| Health investment | Millions of pesos | Positive | Territorial entities / public budgets / sectoral reports | Harmonization into millions of pesos and base-100 transformation |
| Education investment | Millions of pesos | Positive | Territorial entities / public budgets / sectoral reports | Harmonization into millions of pesos and base-100 transformation |
| Unemployment rate | Percentage | Inverse | DANE / labor market statistics | Inverse base-100 transformation |
| Gini index | Index or percentage | Inverse | DANE / territorial social statistics / official sources | Inverse base-100 transformation |
| Complex | GDP | Population | Firms | Budget | Health | Education | Unemployment | Gini |
|---|---|---|---|---|---|---|---|---|
| CL1 | 107,7 | 110 | 250 | 157,1 | 193,3 | 693,3 | 105,6 | 188,9 |
| CL2 | 215,4 | 130 | 212,5 | 0 | 0 | 573,3 | 100 | 177,8 |
| CL3 | 153,8 | 140 | 262,5 | 121,4 | 133,3 | 700 | 77,8 | 166,7 |
| CL4 | 115,4 | 80 | 212,5 | 207,1 | 266,7 | 740 | 83,3 | 155,6 |
| CL5 | 146,2 | 140 | 187,5 | 121,4 | 93,3 | 720 | 83,3 | 166,7 |
| CL6 | 76,9 | 140 | 262,5 | 171,4 | 353,3 | 726,7 | 127,8 | 200 |
| CL7 | 130,8 | 150 | 262,5 | 100 | 80 | 866,7 | 105,6 | 211,1 |
| CL8 | 161,5 | 140 | 225 | 128,6 | 306,7 | 2220 | 83,3 | 177,8 |
| CL9 | 669,2 | 1020 | 1262,5 | 764,3 | 820 | 720 | 583,3 | 1044,4 |
| Variable | GDP | Population | Firms | Budget | Health | Education | Unemployment | Gini |
|---|---|---|---|---|---|---|---|---|
| GDP | 1 | 0,978 | 0,966 | 0,896 | 0,79 | -0,089 | 0,962 | 0,971 |
| Population | 0,978 | 1 | 0,996 | 0,954 | 0,87 | -0,106 | 0,994 | 0,998 |
| Firms | 0,966 | 0,996 | 1 | 0,966 | 0,887 | -0,127 | 0,996 | 0,998 |
| Budget | 0,896 | 0,954 | 0,966 | 1 | 0,955 | -0,095 | 0,961 | 0,962 |
| Health | 0,79 | 0,87 | 0,887 | 0,955 | 1 | 0,104 | 0,887 | 0,88 |
| Education | -0,089 | -0,106 | -0,127 | -0,095 | 0,104 | 1 | -0,148 | -0,121 |
| Unemployment | 0,962 | 0,994 | 0,996 | 0,961 | 0,887 | -0,148 | 1 | 0,998 |
| Gini | 0,971 | 0,998 | 0,998 | 0,962 | 0,88 | -0,121 | 0,998 | 1 |
| Component | Eigenvalue | Explained variance (%) | Cumulative variance (%) | Decision |
|---|---|---|---|---|
| Comp. 1 | 6,688 | 83,59 | 83,59 | Retained |
| Comp. 2 | 1,039 | 12,99 | 96,58 | Retained |
| Comp. 3 | 0,233 | 2,91 | 99,49 | Complementary |
| Comp. 4 | 0,02 | 0,25 | 99,74 | Not retained |
| Comp. 5 | 0,016 | 0,2 | 99,93 | Not retained |
| Comp. 6 | 0,003 | 0,04 | 99,97 | Not retained |
| Comp. 7 | 0,002 | 0,03 | 100 | Not retained |
| Comp. 8 | 0 | 0 | 100 | Not retained |
| Variable | Comp. 1 | Comp. 2 | Comp. 3 | Communality with 2 comp. | Communality with 3 comp. |
|---|---|---|---|---|---|
| GDP | 0,961 | 0,013 | 0,259 | 0,924 | 0,991 |
| Population | 0,994 | 0,013 | 0,097 | 0,988 | 0,997 |
| Firms | 0,997 | 0,029 | 0,042 | 0,995 | 0,997 |
| Budget | 0,978 | 0,02 | 0,175 | 0,956 | 0,987 |
| Health | 0,911 | 0,231 | 0,333 | 0,884 | 0,995 |
| Education | 0,103 | 0,99 | 0,09 | 0,992 | 1 |
| Unemployment | 0,996 | 0,049 | 0,032 | 0,994 | 0,995 |
| Gini | 0,997 | 0,025 | 0,065 | 0,994 | 0,998 |
| Variable | Equal weights | PCA weights | Entropy weights |
|---|---|---|---|
| GDP | 12,50% | 13,00% | 10,20% |
| Population | 12,50% | 10,00% | 18,10% |
| Firms | 12,50% | 8,00% | 11,00% |
| Budget | 12,50% | 14,00% | 16,40% |
| Health | 12,50% | 15,00% | 14,90% |
| Education | 12,50% | 15,00% | 4,30% |
| Unemployment | 12,50% | 18,00% | 13,20% |
| Gini | 12,50% | 9,00% | 12,10% |
| Total | 100% | 100% | 100% |
| Code | Equal-weight index | Equal-weight ranking | PCA index | PCA ranking | Entropy index | Entropy ranking |
|---|---|---|---|---|---|---|
| CL1 | 225,7 | 5 | 236 | 6 | 218,6 | 5 |
| CL2 | 176,1 | 9 | 178 | 9 | 150,3 | 9 |
| CL3 | 219,4 | 7 | 226 | 7 | 204,3 | 7 |
| CL4 | 232,6 | 4 | 249 | 4 | 233 | 4 |
| CL5 | 207,3 | 8 | 217 | 8 | 186,7 | 8 |
| CL6 | 257,3 | 3 | 272 | 3 | 269,5 | 3 |
| CL7 | 238,3 | 6 | 247 | 5 | 213,2 | 6 |
| CL8 | 430,4 | 2 | 481 | 2 | 277,6 | 2 |
| CL9 | 860,5 | 1 | 827 | 1 | 869,6 | 1 |
| Ranking comparison | de Spearman | p-value | Interpretation |
|---|---|---|---|
| PCA vs. equal weights | 0,983 | < 0,001 | Very high stability |
| PCA vs. entropy | 0,983 | < 0,001 | Very high stability |
| Equal weights vs. entropy | 0,95 | < 0,001 | High stability |
| Code | GDP | Population | Firms | Budget | Health | Education | Unemployment | Gini |
|---|---|---|---|---|---|---|---|---|
| CL1 | 5,90% | 4,70% | 8,50% | 9,30% | 12,30% | 44,10% | 8,10% | 7,20% |
| CL2 | 15,70% | 7,30% | 9,60% | 0,00% | 0,00% | 48,30% | 10,10% | 9,00% |
| CL3 | 8,80% | 6,20% | 9,30% | 7,50% | 8,80% | 46,50% | 6,20% | 6,60% |
| CL4 | 6,00% | 3,20% | 6,80% | 11,60% | 16,10% | 44,60% | 6,00% | 5,60% |
| CL5 | 8,80% | 6,50% | 6,90% | 7,80% | 6,50% | 49,80% | 6,90% | 6,90% |
| CL6 | 3,70% | 5,10% | 7,70% | 8,80% | 19,50% | 40,10% | 8,50% | 6,60% |
| CL7 | 6,90% | 6,10% | 8,50% | 5,70% | 4,90% | 52,60% | 7,70% | 7,70% |
| CL8 | 4,40% | 2,90% | 3,70% | 3,70% | 9,60% | 69,20% | 3,10% | 3,30% |
| CL9 | 10,50% | 12,30% | 12,20% | 12,90% | 14,90% | 13,10% | 12,70% | 11,40% |
| Code | Original index | Winsorized index | Difference | Original ranking | Winsorized ranking | Change in ranking |
|---|---|---|---|---|---|---|
| CL1 | 236 | 236 | 0 | 6 | 6 | 0 |
| CL2 | 178 | 195,6 | -17,6 | 9 | 9 | 0 |
| CL3 | 226 | 226,4 | -0,4 | 7 | 7 | 0 |
| CL4 | 249 | 250,6 | -1,6 | 4 | 4 | 0 |
| CL5 | 217 | 217,8 | -0,8 | 8 | 8 | 0 |
| CL6 | 272 | 273,6 | -1,6 | 3 | 3 | 0 |
| CL7 | 247 | 247 | 0 | 5 | 5 | 0 |
| CL8 | 481 | 399,8 | 81,2 | 2 | 2 | 0 |
| CL9 | 827 | 614,6 | 212,4 | 1 | 1 | 0 |
| Code | Logistics complex |
|---|---|
| CL1 | Buenaventura Logistics Complex |
| CL2 | Coffee Region |
| CL3 | Llanos Humanitarian Logistics Center |
| CL4 | Pacific Industrial Logistics Center |
| CL5 | Tumaco Logistics Complex |
| CL6 | Barranquilla Industrial Logistics Complex |
| CL7 | Santa Marta Port Company |
| CL8 | Bogotá Free Trade Zone |
| CL9 | Caribbean Logistics Complex |
| Variable | Representation | Component | Scoring coefficient | |
|---|---|---|---|---|
| GDP | X1 | Comp. 1 | 0,4196 | 13% |
| Population | X2 | Comp. 1 | 0,3235 | 10% |
| Number of firms associated with business logistics | X3 | Comp. 2 | 0,2492 | 8% |
| Municipal budget | X4 | Comp. 1 | 0,4488 | 14% |
| Health investment | X5 | Comp. 1 | 0,4741 | 15% |
| Education investment | X6 | Comp. 2 | 0,4763 | 15% |
| Unemployment rate | Y1 | Comp. 3 | 0,5738 | 18% |
| Gini index | Y2 | Comp. 3 | 0,2948 | 9% |
| Total | 3,26 | 100% | ||
| Variable | Rep. | CL1 | CL2 | CL3 | CL4 | CL5 | CL6 | CL7 | CL8 | CL9 |
|---|---|---|---|---|---|---|---|---|---|---|
| GDP | X1 | 54.353 | 106.819 | 35.331 | 44.570 | 10.991 | 38.575 | 10.514 | 50.202 | 67.245 |
| Population | X2 | 362.764 | 467.185 | 531.275 | 1.822.871 | 990.179 | 1.228.271 | 311.761 | 5.828.528 | 887.946 |
| Number of firms associated with business logistics | X3 | 66 | 50 | 55 | 68 | 44 | 60 | 60 | 46 | 68 |
| Municipal budget (in millions) | X4 | 298.937 | 2.460.000 | 729.945 | 2.027.683 | 770.439 | 2.347.475 | 822.174 | 3.825.826 | 1.071.227 |
| Health investment | X5 | 64.839 | 965.000 | 69.977 | 401.524 | 112.787 | 184.198 | 64.736 | 345.827 | 163.116 |
| Education investment | X6 | 114.993 | 228.874 | 284.345 | 563.575 | 395.895 | 369.483 | 111.618 | 57.680 | 275.981 |
| Unemployment rate | Y1 | 40% | 43,80% | 11,90% | 11,50% | 13,70% | 7,20% | 15,70% | 11,40% | 6,70% |
| Gini index | Y2 | 43,50% | 29,30% | 24,30% | 21,60% | 34,80% | 25,60% | 34% | 40% | 29,20% |
| Variable | Rep. | CL1 | CL2 | CL3 | CL4 | CL5 | CL6 | CL7 | CL8 | CL9 |
|---|---|---|---|---|---|---|---|---|---|---|
| GDP | X1 | 58.538 | 230.088 | 54.339 | 51.434 | 16.069 | 29.664 | 13.752 | 81.076 | 450.004 |
| Population | X2 | 399.040 | 607.341 | 743.785 | 1.458.297 | 1.386.251 | 1.719.579 | 467.642 | 8.159.939 | 9.057.049 |
| Number of firms associated with business logistics | X3 | 165 | 106 | 144 | 83 | 83 | 158 | 158 | 104 | 859 |
| Municipal budget (in millions) | X4 | 469.630 | 0 | 886.153 | 4.199.331 | 935.313 | 4.023.572 | 822.174 | 4.920.012 | 8.187.388 |
| Health investment | X5 | 125.334 | 0 | 93.279 | 1.070.865 | 105.230 | 650.772 | 51.789 | 1.060.651 | 1.337.551 |
| Education investment | X6 | 797.246 | 1.312.135 | 1.990.415 | 4.170.455 | 2.850.444 | 2.685.033 | 967.393 | 1.280.496 | 1.987.063 |
| Unemployment rate | Y1 | 37,88% | 43,80% | 15,30% | 13,81% | 16,45% | 5,63% | 14,87% | 13,69% | 1,15% |
| Gini index | Y2 | 23,03% | 16,48% | 14,58% | 13,88% | 20,88% | 12,80% | 16,11% | 22,50% | 2,80% |
| Variable | Representation | CL1 | CL2 | CL3 | CL4 | CL5 | CL6 | CL7 | CL8 | CL9 |
|---|---|---|---|---|---|---|---|---|---|---|
| GDP | X1 | 14 | 28 | 20 | 15 | 19 | 10 | 17 | 21 | 87 |
| Population | X2 | 11 | 13 | 14 | 8 | 14 | 14 | 15 | 14 | 102 |
| Number of firms associated with business logistics | X3 | 20 | 17 | 21 | 17 | 15 | 21 | 21 | 18 | 101 |
| Municipal budget | X4 | 22 | 0 | 17 | 29 | 17 | 24 | 14 | 18 | 107 |
| Health investment | X5 | 29 | 0 | 20 | 40 | 14 | 53 | 12 | 46 | 123 |
| Education investment | X6 | 104 | 86 | 105 | 111 | 108 | 109 | 130 | 333 | 108 |
| Unemployment rate | Y1 | 19 | 18 | 14 | 15 | 15 | 23 | 19 | 15 | 105 |
| Gini index | Y2 | 17 | 16 | 15 | 14 | 15 | 18 | 19 | 16 | 94 |
| Index | 236 | 178 | 225 | 247 | 217 | 271 | 248 | 482 | 827 | |
| Code | Logistics complex | Composite index | Impact category |
|---|---|---|---|
| CL1 | Buenaventura Logistics Complex | 236 | Very high impact |
| CL2 | Coffee Region | 178 | Very high impact |
| CL3 | Llanos Humanitarian Logistics Center | 225 | Very high impact |
| CL4 | Pacific Industrial Logistics Center | 247 | Very high impact |
| CL5 | Tumaco Logistics Complex | 217 | Very high impact |
| CL6 | Barranquilla Industrial Logistics Complex | 271 | Very high impact |
| CL7 | Santa Marta Port Company | 248 | Very high impact |
| CL8 | Bogotá Free Trade Zone | 482 | Very high impact |
| CL9 | Caribbean Logistics Complex | 827 | Very high impact |
| Composite index range | Relative performance category | Interpretive criterion |
|---|---|---|
| 175–250 | Moderate very high impact | The complex substantially exceeds the baseline, but its relative performance remains within the lower group of the very high category. |
| 251–350 | Consolidated very high impact | The complex shows performance above the moderate group, with more consistent improvements across several dimensions of the index. |
| 351–600 | Outstanding impact | The complex presents a level of impact considerably above the average of the analyzed set. |
| More than 600 | Exceptional impact | The complex records an extreme performance within the sample, associated with very high improvements in several transformed variables. |
| Code | Logistics complex | Composite index | Initial qualitative classification | Complementary classification |
|---|---|---|---|---|
| CL1 | Buenaventura Logistics Complex | 236 | Very high impact | Moderate very high impact |
| CL2 | Coffee Region | 178 | Very high impact | Moderate very high impact |
| CL3 | Llanos Humanitarian Logistics Center | 225 | Very high impact | Moderate very high impact |
| CL4 | Pacific Industrial Logistics Center | 247 | Very high impact | Moderate very high impact |
| CL5 | Tumaco Logistics Complex | 217 | Very high impact | Moderate very high impact |
| CL6 | Barranquilla Industrial Logistics Complex | 271 | Very high impact | Consolidated very high impact |
| CL7 | Santa Marta Port Company | 248 | Very high impact | Moderate very high impact |
| CL8 | Bogotá Free Trade Zone | 482 | Very high impact | Outstanding impact |
| CL9 | Caribbean Logistics Complex | 827 | Very high impact | Exceptional impact |
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