| Literature DB >> 33892351 |
Katarzyna Jabłońska1, Samuel Aballéa2, Mondher Toumi3.
Abstract
OBJECTIVES: The purpose of this study was to determine predictors of the height of coronavirus disease 2019 (COVID-19) daily deaths' peak and time to the peak, to explain their variability across European countries. STUDYEntities:
Keywords: COVID-19; Healthcare capacity; Modelling; Mortality
Mesh:
Year: 2021 PMID: 33892351 PMCID: PMC7980183 DOI: 10.1016/j.puhe.2021.02.037
Source DB: PubMed Journal: Public Health ISSN: 0033-3506 Impact factor: 2.427
Characteristics of the countries included in the analysis.
| Variable | N | Mean | SD | Median | Lower quartile | Upper quartile | Minimum | Maximum |
|---|---|---|---|---|---|---|---|---|
| Peak height (no. of deaths per 1 mln inhabitants) | 34 | 7.22 | 8.65 | 3.48 | 1.68 | 12.78 | 0.48 | 42.80 |
| Peak height (raw no. of deaths) | 34 | 180.50 | 322.67 | 32.50 | 8.00 | 185.00 | 2.00 | 1172.00 |
| Peak time (no. of days after the first death was reported) | 34 | 31.32 | 13.94 | 31.00 | 22.00 | 40.00 | 2.00 | 71.00 |
| All-bed capacity (per 1 mln inhabitants) | 34 | 4940.25 | 1744.89 | 4634.17 | 3427.67 | 6623.84 | 2512.45 | 8248.80 |
| ICU bed capacity (per 1 mln inhabitants) | 34 | 141.14 | 82.61 | 110.94 | 86.50 | 191.75 | 20.72 | 349.20 |
| Total no. of tests up to the time of the peak (per 1 mln inhabitants) | 34 | 763.09 | 743.98 | 526.54 | 443.77 | 824.78 | 148.92 | 4166.11 |
| Stay-at-home order day | 34 | 8.74 | 10.33 | 8.00 | 1.00 | 14.00 | −6.00 | 41.00 |
| Day of closure of educational facilities | 34 | −0.26 | 8.31 | 0.50 | −3.00 | 4.00 | −22.00 | 17.00 |
| Day of imposing restrictions on gatherings | 34 | −1.76 | 8.67 | −1.00 | −6.00 | 2.00 | −21.00 | 17.00 |
| Business closure day | 34 | 3.32 | 10.14 | 2.00 | −1.00 | 7.00 | −16.00 | 41.00 |
| Population size (January 2020) | 34 | 23.82 | 33.02 | 9.33 | 4.94 | 37.85 | 0.34 | 145.93 |
| Proportion living in urban areas | 34 | 0.74 | 0.12 | 0.74 | 0.66 | 0.83 | 0.54 | 0.98 |
| Proportion living in metropolitan cities with more than 1 mln inhabitants | 34 | 0.28 | 0.19 | 0.31 | 0.12 | 0.44 | 0.00 | 0.56 |
| Median age | 34 | 41.85 | 2.96 | 42.50 | 40.50 | 44.00 | 32.00 | 46.70 |
| Arrivals at airports in 2018 (per 1 inhabitant) | 34 | 2.27 | 2.63 | 1.52 | 0.84 | 2.79 | 0.24 | 14.86 |
| No. of foreign tourists in 2018 (per 1 inhabitant) | 34 | 1.25 | 1.32 | 0.79 | 0.47 | 1.46 | 0.14 | 6.73 |
| Mobility score at the day of the first reported death | 34 | −23.45 | 18.93 | −20.02 | −44.09 | −5.28 | −56.42 | 0.16 |
| Border closure day | 34 | 6.71 | 15.53 | 2.50 | −1.00 | 11.00 | −19.00 | 46.00 |
| No. of COVID-19 infections when borders were closed (per 1 mln inhabitants) | 34 | 490.54 | 1116.56 | 83.39 | 21.53 | 245.88 | 0.07 | 5223.83 |
| No. of COVID-19 deaths when borders were closed (per 1 mln inhabitants) | 34 | 28.56 | 71.73 | 0.27 | 0.00 | 3.17 | 0.00 | 297.90 |
COVID-19, coronavirus disease 2019; ICU, intensive care unit; SD, standard deviation; mln, million.
Fig. 1Histogram of the height of COVID-19 daily deaths' peak per 1 million inhabitants with a fitted log-normal curve. The histogram presents the distribution of height of COVID-19 deaths' peak per 1 million inhabitants across 34 countries. A log-normal curve was fitted to the distribution with a scale parameter sigma of 1.12 and location parameter zeta of 1.38, assuming logarithm of height of the deaths' peak is normally distributed [Normal(zeta, sigma)]. COVID-19, coronavirus disease 2019.
Fig. 2Height of COVID-19 daily deaths' peak per 1 million inhabitants across countries. The plot presents the height of COVID-19 deaths' peak per 1 million inhabitants across 34 countries, with Belgium having an outstandingly highest peak per population size (>40 deaths per 1 million inhabitants). COVID-19, coronavirus disease 2019.
Results of the univariate and multivariate GLM of height of COVID-19 deaths' peak, with normal distribution and logit link function.
| Variable | Univariate analysis | Multivariate analysis | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Base case GLM (full model) | Base case GLM + selection algorithms (final model) | |||||||||||
| Estimate | Wald 95% confidence limit | Estimate | Wald 95% confidence limit | Estimate | Wald 95% confidence limit | |||||||
| Lower | Upper | Lower | Upper | Lower | Upper | |||||||
| All-bed capacity (per 1 mln inhabitants) | −0.0002 | −0.001 | 0.0001 | 0.109 | – | – | – | – | – | – | – | – |
| ICU bed capacity (per 1 mln inhabitants) | −0.002 | −0.008 | 0.003 | 0.404 | – | – | – | – | – | – | – | – |
| Total no. of tests up to the time of the peak (per 1 mln inhabitants) | 0.000 | −0.001 | 0.001 | 0.961 | – | – | – | – | – | – | – | – |
| Stay-at-home order day | 0.027 | −0.001 | 0.053 | 0.057∗∗ | – | – | – | – | – | – | – | – |
| Day of closure of educational facilities | 0.067 | 0.028 | 0.107 | 0.001∗ | – | – | – | – | – | – | – | – |
| Day of imposing restrictions on gatherings | 0.045 | 0.006 | 0.084 | 0.023∗ | – | – | – | – | – | – | – | – |
| Business closure day | 0.029 | 0.009 | 0.049 | 0.005∗ | −0.001 | −0.022 | 0.020 | 0.944 | – | – | – | – |
| Population size (mln) | 0.001 | −0.009 | 0.011 | 0.877 | – | – | – | – | – | – | – | – |
| Proportion living in urban areas | 8.117 | 3.695 | 12.539 | <0.001∗ | 7.127 | 3.642 | 10.611 | <0.001∗ | 6.848 | 4.016 | 9.680 | <0.001∗ |
| Proportion living in metropolitan cities with more than 1 mln inhabitants | 2.428 | −0.464 | 5.319 | 0.099∗∗ | 1.063 | −1.331 | 3.457 | 0.384 | – | – | – | – |
| Median age | −0.0003 | −0.120 | 0.120 | 0.996 | – | – | – | – | – | – | – | – |
| Arrivals at airports in 2018 (per 1 inhabitant) | 0.016 | −0.097 | 0.129 | 0.784 | – | – | – | – | – | – | – | – |
| No. of foreign tourists in 2018 (per 1 inhabitant) | −0.076 | −0.421 | 0.270 | 0.668 | – | – | – | – | – | – | – | – |
| Mobility score at the day of the first reported death | 0.048 | 0.001 | 0.096 | 0.046∗ | 0.041 | −0.0004 | 0.083 | 0.052∗ | 0.049 | 0.022 | 0.077 | <0.001∗ |
| Border closure day | 0.025 | 0.010 | 0.041 | 0.002∗ | −0.005 | −0.030 | 0.021 | 0.729 | – | – | – | – |
| No. of COVID-19 infections when borders were closed (per 1 mln inhabitants) | 0.0002 | 0.0000 | 0.004 | 0.022∗ | 0.0003 | −0.0001 | 0.001 | 0.113 | 0.0002 | 0.0001 | 0.0003 | 0.016∗ |
| No. of COVID-19 deaths when borders were closed (per 1 mln inhabitants) | 0.004 | 0.001 | 0.007 | 0.002∗ | – | – | – | – | – | – | – | – |
| Multivariate model statistics | ||||||||||||
| Scale | – | – | – | – | 5.020 | 3.958 | 6.367 | – | 5.092 | 4.015 | 6.458 | – |
| AIC | – | – | – | – | 222.203 | – | – | – | 217.169 | – | – | – |
| AICC | – | – | – | – | 227.963 | – | – | – | 219.312 | – | – | – |
∗P-value <0.05; ∗∗P-value <0.1.
AIC, Akaike Information Criterion; AICC, AIC corrected for small sample sizes; GLM, generalised linear model; ICU, intensive care unit; mln, million; COVID-19, coronavirus disease 2019.
Univariate and multivariate GLMs with normal distribution and logit link function were used to explore factors associated with height of COVID-19 deaths' peak as of June 3, 2020. Each model was run using 34 observations. Variables significant in univariate models were included in the multivariate base case model, avoiding highly correlated pairs. The final multivariate model was selected based on the use of selection algorithms (backward, forward, stepwise and genetic algorithm).
Results of the univariate and multivariate GLM of time to COVID-19 deaths' peak, with normal distribution and identity link function.
| Variable | Univariate analysis | Multivariate analysis | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Base case GLM (full model) | Base case GLM + selection algorithms (final model) | |||||||||||
| Estimate | Wald 95% confidence limit | Estimate | Wald 95% confidence limit | Estimate | Wald 95% confidence limit | |||||||
| Lower | Upper | Lower | Upper | Lower | Upper | |||||||
| All-bed capacity (per 1 mln inhabitants) | 0.003 | 0.001 | 0.006 | 0.012∗ | 0.003 | 0.001 | 0.005 | 0.006∗ | 0.003 | 0.001 | 0.005 | 0.004∗ |
| ICU bed capacity (per 1 mln inhabitants) | 0.046 | −0.008 | 0.101 | 0.095∗∗ | −0.007 | −0.049 | 0.034 | 0.731 | – | – | – | – |
| Total no. of tests up to the time of the peak (per 1 mln inhabitants) | −0.002 | −0.008 | 0.005 | 0.598 | – | – | – | – | – | – | – | – |
| Stay-at-home order day | 0.201 | −0.248 | 0.649 | 0.381 | – | – | – | – | – | – | – | – |
| Day of closure of educational facilities | 0.680 | 0.164 | 1.195 | 0.010∗ | – | – | – | – | – | – | – | – |
| Day of imposing restrictions on gatherings | 0.530 | 0.019 | 1.040 | 0.042∗ | – | – | – | – | – | – | – | – |
| Business closure day | 0.365 | −0.081 | 0.810 | 0.108 | – | – | – | – | – | – | – | – |
| Population size (mln) | 0.250 | 0.135 | 0.364 | <0.001∗ | 0.117 | 0.002 | 0.231 | 0.047∗ | 0.142 | 0.037 | 0.246 | 0.008∗ |
| Proportion living in urban areas | 0.508 | −37.667 | 38.683 | 0.979 | – | – | – | – | – | – | – | – |
| Proportion living in metropolitan cities with more than 1 mln inhabitants | 13.812 | −10.931 | 38.554 | 0.274 | – | – | – | – | – | – | – | – |
| Median age | −0.278 | −1.860 | 1.304 | 0.730 | – | – | – | – | – | – | – | – |
| Arrivals at airports in 2018 (per 1 inhabitant) | −1.908 | −3.573 | −0.243 | 0.025∗ | – | – | – | – | – | – | – | – |
| No. of foreign tourists in 2018 (per 1 inhabitant) | −5.099 | −8.203 | −1.995 | 0.001∗ | −2.872 | −5.341 | −0.403 | 0.023∗ | −2.651 | −5.137 | −0.165 | 0.037∗ |
| Mobility score at the day of the first reported death | 0.337 | 0.117 | 0.557 | 0.003∗ | 0.132 | −0.092 | 0.356 | 0.249 | – | – | – | – |
| Border closure day | 0.326 | 0.045 | 0.607 | 0.023∗ | 0.215 | −0.047 | 0.477 | 0.108 | 0.297 | 0.079 | 0.514 | 0.008∗ |
| No. of COVID-19 infections when borders were closed (per 1 mln inhabitants) | 0.001 | −0.004 | 0.005 | 0.739 | – | – | – | – | ||||
| No. of COVID-19 deaths when borders were closed (per 1 mln inhabitants) | 0.038 | −0.026 | 0.102 | 0.244 | – | – | – | – | – | – | – | – |
| Multivariate model statistics | ||||||||||||
| Scale | – | – | – | – | 8.713 | 6.870 | 11.050 | – | 8.901 | 7.018 | 11.289 | – |
| AIC | – | – | – | – | 259.693 | – | – | – | 257.146 | – | – | – |
| AICC | – | – | – | – | 265.453 | – | – | – | 260.257 | – | – | – |
∗P-value <0.05; ∗∗P-value <0.1.
AIC, Akaike Information Criterion; AICC, AIC corrected for small sample sizes; GLM, generalised linear model; ICU, intensive care unit; mln, million; COVID-19, coronavirus disease 2019.
Univariate and multivariate GLMs with normal distribution and identity link function were used to explore factors associated with time to COVID-19 deaths' peak (starting from the day when the first death was reported in a given country), as of June 3, 2020. Each model was run using 34 observations. Variables significant in univariate models were included in the multivariate base case model, avoiding highly correlated pairs. The final multivariate model was selected based on the use of selection algorithms (backward, forward, stepwise and genetic algorithm).