Analysis of Short-Term Effects of Air Pollution on Cardiovascular Disease Using Bayesian Spatio-Temporal Models
Abstract
:1. Introduction
2. Materials and methods
2.1. Hospital Admissions
2.2. Air Pollution and Meteorological Data
2.3. Method of Analysis
- (1)
- The measurement error level: We modeled the air pollution data on the log scale because the pollution concentrations were nonnegative and often skewed to the right. The combination of true underlying process and spatial effect is linked with the observed pollution concentrations using a measurement error model, where the measurement errors are independent with zero mean and constant variance of
- (2)
- The underlying process level: The true levels were modeled by a first order autoregressive process which had variance and lag one correlation coefficient . The spatial structure was represented by a set of zero-mean Gaussian random effects , which had variance and correlation matrix . The latter was constructed using the Matern class of functions, with a smoothness parameter fixed at 0.5. This gave an exponential correlation structure , where denotes Euclidean distance.
- (3)
3. Results
4. Discussion
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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City | Hospitalization (Cases/Per Day) | Min | P25 | P50 | P75 | Max |
---|---|---|---|---|---|---|
Total | 8 | 195 | 291 | 346 | 580 | |
Male | 5 | 106 | 158 | 191 | 308 | |
Jinan | Female | 3 | 89 | 131 | 157 | 274 |
≥65 | 3 | 103 | 148 | 180 | 361 | |
<65 | 5 | 92 | 138 | 169 | 296 | |
Total | 1 | 67 | 80 | 96 | 200 | |
Male | 0 | 37 | 45 | 54 | 113 | |
Weihai | Female | 1 | 29 | 36 | 43 | 89 |
≥65 | 0 | 37 | 45 | 54 | 109 | |
<65 | 1 | 28 | 35 | 44 | 104 |
Jinan | |||||||
PM2.5 | PM10 | SO2 | NO2 | ||||
Single pollutant | 0.401 (0.029, 0.775) * | Single pollutant | 0.316 (0.086, 0.547) * | Single pollutant | 0.903 (0.252, 1.559) * | Single pollutant | 2.647 (1.607, 3.697) * |
+PM10 | −0.279 (−1.106, 0.555) | +PM2.5 | 0.472 (−0.045, 0.992) | +PM2.5 | 0.889 (0.156, 1.628) * | + PM2.5 | 3.164 (1.835, 4.509) * |
+SO2 | 0.360 (−0.057, 0.778) | +SO2 | 0.307 (0.050, 0.565) * | +PM10 | 0.859 (0.115, 1.609) * | + PM10 | 3.018 (1.631, 4.423) * |
+NO2 | −0.295 (−0.764, 0.177) | +NO2 | −0.124 (−0.429, 0.183) | +NO2 | 0.298 (−0.584, 1.188) | + SO2 | 3.879 (2.483, 5.295) * |
+All | −0.342 (−1.181, 0.504) | +All | 0.071 (−0.475, 0.620) | +All | 0.316 (−0.568, 1.208) | +All | 4.229 (2.564, 5.922) * |
Weihai | |||||||
PM2.5 | PM10 | SO2 | NO2 | ||||
Single pollutant | 0.161 (−0.356, 0.680) | Single pollutant | 0.143 (−0.210, 0.497) | Single pollutant | 2.149 (−0.031, 4.377) | Single pollutant | 6.568 (3.636, 9.584) * |
+PM10 | −0.001 (−0.808, 0.812) | +PM2.5 | 0.144 (−0.409, 0.699) | +PM2.5 | 3.580 (0.472, 6.785) * | +PM2.5 | 9.606 (5.887, 13.456) * |
+SO2 | −0.239 (−0.949, 0.477) | +SO2 | −0.021 (−0.447, 0.407) | + PM10 | 2.875 (0.264, 5.554) * | +PM10 | 8.453 (5.048, 11.970) * |
+NO2 | −0.536 (−1.204, 0.136) | +NO2 | −0.167 (−0.582, 0.249) | +NO2 | −1.980 (−4.767, 0.887) * | +SO2 | 8.415 (4.448, 12.532) * |
+All | −0.654 (−1.597, 0.298) | +All | 0.098 (−0.457, 0.656) | +All | 0.035 (−3.277, 3.460) | +All | 9.648 (5.518, 13.940) * |
Jinan | Weihai | ||||
---|---|---|---|---|---|
Pollutant | Class | Estimate | Lag | Estimate | Lag |
PM2.5 | Male | 0.404 (0.009, 0.801) * | 0 | −0.419 (−0.992, 0.157) | 2 |
Female | 0.398 (0.013, 0.783) * | 0 | −0.420 (−1.010, 0.174) | 3 | |
≥65 | 0.323 (−0.056, 0.704) | 0 | 0.660 (0.109, 1.214) * | 5 | |
<65 | 0.485 (0.074, 0.899) * | 0 | −0.577 (−1.198, 0.048) | 3 | |
PM10 | Male | 0.308 (0.063, 0.553) * | 0 | 0.119 (−0.260, 0.499) | 3 |
Female | 0.326 (0.088, 0.565) * | 0 | 0.283 (−0.138, 0.706) | 1 | |
≥65 | 0.279 (0.045, 0.514) * | 0 | 0.306 (−0.068, 0.682) | 5 | |
<65 | 0.356 (0.100, 0.612) * | 0 | −0.257 (−0.684, 0.172) | 4 | |
SO2 | Male | 0.749 (0.058, 1.445) * | 1 | 2.859 (0.340, 5.441) * | 0 |
Female | 1.089 (0.415, 1.768) * | 1 | 1.281 (−1.292, 3.921) | 0 | |
≥65 | 0.709 (0.041, 1.381) * | 1 | 2.438 (0.344, 4.576) * | 5 | |
<65 | 1.116 (0.398, 1.839) * | 1 | 1.924 (−0.807, 4.730) | 0 | |
NO2 | Male | 2.516 (1.414, 3.630) * | 0 | 7.419 (4.031, 10.918) * | 0 |
Female | 2.803 (1.725, 3.892) * | 0 | 5.535 (2.070, 9.119) * | 0 | |
≥65 | 2.284 (1.225, 3.355) * | 0 | 7.612 (4.321, 11.006) * | 0 | |
<65 | 3.033 (1.880, 4.199) * | 0 | 5.236 (1.591, 9.011) * | 0 |
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Liu, Y.; Sun, J.; Gou, Y.; Sun, X.; Zhang, D.; Xue, F. Analysis of Short-Term Effects of Air Pollution on Cardiovascular Disease Using Bayesian Spatio-Temporal Models. Int. J. Environ. Res. Public Health 2020, 17, 879. https://doi.org/10.3390/ijerph17030879
Liu Y, Sun J, Gou Y, Sun X, Zhang D, Xue F. Analysis of Short-Term Effects of Air Pollution on Cardiovascular Disease Using Bayesian Spatio-Temporal Models. International Journal of Environmental Research and Public Health. 2020; 17(3):879. https://doi.org/10.3390/ijerph17030879
Chicago/Turabian StyleLiu, Yi, Jingjie Sun, Yannong Gou, Xiubin Sun, Dandan Zhang, and Fuzhong Xue. 2020. "Analysis of Short-Term Effects of Air Pollution on Cardiovascular Disease Using Bayesian Spatio-Temporal Models" International Journal of Environmental Research and Public Health 17, no. 3: 879. https://doi.org/10.3390/ijerph17030879
APA StyleLiu, Y., Sun, J., Gou, Y., Sun, X., Zhang, D., & Xue, F. (2020). Analysis of Short-Term Effects of Air Pollution on Cardiovascular Disease Using Bayesian Spatio-Temporal Models. International Journal of Environmental Research and Public Health, 17(3), 879. https://doi.org/10.3390/ijerph17030879