Air Quality Profiles in Latin America and the Caribbean: A Multivariate Characterization Using HJ-Biplot (2024)
Abstract
1. Introduction
2. Materials and Methods
2.1. Materials
2.2. Statistical Analysis
- The proximity between points reflects the similarity among countries; that is, countries located closer to each other exhibit similar profiles based on their values for the air quality indicators.
- The length of the vectors indicates the degree of variability or discriminating power of each indicator: longer vectors indicate a greater contribution to the variability structure of the data, whereas shorter vectors correspond to indicators with lower capacity to differentiate among countries.
- The angles formed between vectors enable the interpretation of associations among indicators: acute angles indicate positive correlation, obtuse angles indicate negative correlation, and angles close to 90° indicate the absence of correlation.
- Finally, the orthogonal projection of points (countries) onto vectors (indicators) makes it possible to establish the relative position of countries with respect to the indicators in the factorial plane. Countries located closer to the positive direction of a vector exhibit relatively higher values for that indicator, whereas those situated in the opposite direction display lower values. This arrangement provides a solid basis for the joint comparison and interpretation of the relationships between countries and indicators.
3. Results
3.1. Descriptive Results
3.2. Methods
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Indicator (%) | Code | Description [25] |
|---|---|---|
| Air Quality | AQ | Measures the impacts of air pollution on human health in each country. |
| Anthropogenic PM2.5 exposure | PME | Measures the exposure to fine particulate matter (PM2.5) from satellite-derived ground-level measurements, weighted by population density. |
| Household Solid Fuels | HSF | Measures the health impacts from the combustion of household solid fuels, using the number of age-standardized disability-adjusted life-years lost per 100,000 persons. |
| Ozone exposure | OZE | Measures ozone exposure using the number of age-standardized disability-adjusted life-years lost per 100,000 persons due to ground-level ozone pollution. |
| Nitrogen Dioxide exposure | NDE | Measures nitrogen dioxide exposure at ground level, using the number of age-standardized disability-adjusted life-years lost per 100,000 persons. |
| Sulfur Dioxide exposure | SDE | Measures sulfur dioxide exposure using the population-weighted annual average concentration at ground level. |
| Carbon Monoxide exposure | CME | Measures carbon monoxide exposure using the population-weighted annual average concentration at ground level. |
| Volatile Organic Compounds | VOC | Measures volatile organic compound exposure using the population-weighted annual average concentration at ground level. |
| Caribbean | Central America | South America |
|---|---|---|
| Antigua and Barbuda | Belize | Argentina |
| Bahamas | Costa Rica | Bolivia |
| Barbados | El Salvador | Brazil |
| Cuba | Guatemala | Chile |
| Dominica | Honduras | Colombia |
| Grenada | Mexico | Ecuador |
| Haiti | Nicaragua | Guyana |
| Jamaica | Panama | Paraguay |
| Dominican Republic | Peru | |
| Saint Lucia | Uruguay | |
| Trinidad and Tobago | Surinam | |
| Venezuela |
| Indicator (%) | Mean | Std. Dev. | Minimum | Maximum |
|---|---|---|---|---|
| Carbon Monoxide exposure (CME) | 66.06 | 15.41 | 22.40 | 85.80 |
| Household Solid Fuels (HSF) | 39.31 | 17.71 | 3.40 | 82.40 |
| Nitrogen Dioxide exposure (NDE) | 29.72 | 11.91 | 6.50 | 51.50 |
| Ozone exposure (OZE) | 63.75 | 21.78 | 33.10 | 100.00 |
| Anthropogenic PM2.5 exposure (PME) | 54.28 | 31.55 | 8.30 | 100.00 |
| Sulfur Dioxide exposure (SDE | 62.90 | 23.64 | 0.00 | 99.30 |
| Volatile Organic Compounds exposure (VOC) | 32.62 | 30.91 | 0.00 | 96.30 |
| Axis | Eigenvalues | Explained Variance (%) | Cumulative (%) |
|---|---|---|---|
| 1 | 4.20 | 59.95 | 59.95 |
| 2 | 1.11 | 15.90 | 75.85 |
| 3 | 0.70 | 9.98 | 85.83 |
| 4 | 0.39 | 5.60 | 91.43 |
| 5 | 0.35 | 4.94 | 96.37 |
| 6 | 0.17 | 2.37 | 98.74 |
| 7 | 0.09 | 1.26 | 100.00 |
| Indicators | Axis 1 | Axis 2 |
|---|---|---|
| Anthropogenic PM2.5 exposure | 919 | 1 |
| Household Solid Fuels | 420 | 442 |
| Ozone exposure | 696 | 3 |
| Nitrogen Dioxide exposure | 262 | 393 |
| Sulfur Dioxide exposure | 424 | 173 |
| Carbon Monoxide exposure | 781 | 63 |
| Volatile Organic Compounds exposure | 679 | 49 |
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Cubilla-Montilla, M.; Castillo, A.; Torres-Cubilla, C.A. Air Quality Profiles in Latin America and the Caribbean: A Multivariate Characterization Using HJ-Biplot (2024). Air 2026, 4, 12. https://doi.org/10.3390/air4020012
Cubilla-Montilla M, Castillo A, Torres-Cubilla CA. Air Quality Profiles in Latin America and the Caribbean: A Multivariate Characterization Using HJ-Biplot (2024). Air. 2026; 4(2):12. https://doi.org/10.3390/air4020012
Chicago/Turabian StyleCubilla-Montilla, Mitzi, Andrés Castillo, and Carlos A. Torres-Cubilla. 2026. "Air Quality Profiles in Latin America and the Caribbean: A Multivariate Characterization Using HJ-Biplot (2024)" Air 4, no. 2: 12. https://doi.org/10.3390/air4020012
APA StyleCubilla-Montilla, M., Castillo, A., & Torres-Cubilla, C. A. (2026). Air Quality Profiles in Latin America and the Caribbean: A Multivariate Characterization Using HJ-Biplot (2024). Air, 4(2), 12. https://doi.org/10.3390/air4020012

