| Literature DB >> 33758674 |
Arshia Amiri1,2.
Abstract
OBJECTIVES: To measure the effect of social distancing on reducing daily deaths, infections and hospital resources needed for coronavirus disease 2019 (COVID-19) patients during the first wave of the pandemic in Nordic countries.Entities:
Keywords: COVID-19; Health resources; Hospitalization; Intensive care units; Mortality; Nursing staff; Pandemics; Physical distancing
Year: 2021 PMID: 33758674 PMCID: PMC7975574 DOI: 10.1016/j.ijnss.2021.03.010
Source DB: PubMed Journal: Int J Nurs Sci ISSN: 2352-0132
Fig. 1Social distancing quantified by change in mobility and reducing human contact measured by cell phone mobility data in Nordic region during the first wave of pandemic. Source: IHME [3].
Fig. 2Total number of daily deaths observed specific to COVID-19 patients per 100,000 population in Nordic region during the first wave of pandemic. Source: IHME [3].
Fig. 3Total number of estimated daily infections specific to COVID-19 per 100,000 population in Nordic region during the first wave of pandemic. Source: IHME [3].
Fig. 4Total number of hospital beds needed for COVID-19 patients per 100,000 population in Nordic region during the first wave of pandemic. Source: IHME [3].
Fig. 5Total number of ICU beds needed for COVID-19 patients per 100,000 population in Nordic region during the first wave of pandemic. Source: IHME [3].
Panel unit-root test (Nordic region in a 40-day period of the first wave of pandemic).
| Null hypothesis: Unit root | Level | 1st difference | Conclusion | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Intercept | Intercept & trend | None | Intercept | ||||||
| Method | Statistic | Statistic | Statistic | Statistic | |||||
| Social distancing | |||||||||
| Levin, Lin & Chu | −1.97 | 0.024 | −10.09 | <0.001 | −2.52 | 0.005 | −7.49 | <0.001 | Stationary |
| ADF - Fisher Chi-square | 47.83 | <0.001 | 290.57 | <0.001 | 16.80 | 0.078 | 58.67 | <0.001 | |
| PP - Fisher Chi-square | 44.92 | <0.001 | 101.64 | <0.001 | 2.42 | 0.992 | 61.89 | <0.001 | |
| Daily deaths | |||||||||
| Levin, Lin & Chu | −3.74 | <0.001 | −1.30 | 0.096 | 1.68 | 0.954 | −2.11 | 0.017 | Stationary |
| ADF - Fisher Chi-square | 52.67 | <0.001 | 30.85 | <0.001 | 5.53 | 0.852 | 14.00 | 0.172 | |
| PP - Fisher Chi-square | 40.02 | <0.001 | 44.23 | <0.001 | 68.17 | <0.001 | 97.89 | <0.001 | |
| Daily infections | |||||||||
| Levin, Lin & Chu | 11.60 | 1.000 | 5.65 | 1.000 | −7.54 | <0.001 | −5.25 | <0.001 | Stationary |
| ADF - Fisher Chi-square | 9.66 | 0.470 | 46.18 | <0.001 | 60.73 | <0.001 | 96.22 | <0.001 | |
| PP - Fisher Chi-square | 10.20 | 0.422 | 36.94 | <0.001 | 40.19 | <0.001 | 30.34 | <0.001 | |
| All hospital beds needed | |||||||||
| Levin, Lin & Chu | −2.37 | 0.008 | −4.15 | <0.001 | −2.67 | 0.003 | −6.09 | <0.001 | Stationary |
| ADF - Fisher Chi-square | 62.43 | <0.001 | 61.44 | <0.001 | 33.04 | <0.001 | 51.41 | <0.001 | |
| PP - Fisher Chi-square | 65.28 | <0.001 | 317.12 | <0.001 | 6.65 | 0.757 | 68.76 | <0.001 | |
| ICU beds needed/Nurses needed in ICUs | |||||||||
| Levin, Lin & Chu | 3.72 | 0.999 | 0.11 | 0.547 | −2.76 | 0.002 | −2.04 | 0.020 | Stationary |
| ADF - Fisher Chi-square | 15.78 | 0.106 | 199.72 | <0.001 | 40.41 | <0.001 | 39.76 | <0.001 | |
| PP - Fisher Chi-square | 66.39 | <0.001 | 273.63 | <0.001 | 44.03 | <0.001 | 48.12 | <0.001 | |
| Beds needed in infection wards/Nurses needed in infection wards | |||||||||
| Levin, Lin & Chu | 0.37 | 0.645 | −2.87 | 0.002 | −2.26 | 0.011 | −5.98 | <0.001 | Stationary |
| ADF - Fisher Chi-square | 45.77 | <0.001 | 52.49 | <0.001 | 43.56 | <0.001 | 48.67 | <0.001 | |
| PP - Fisher Chi-square | 65.59 | <0.001 | 324.40 | <0.001 | 11.60 | 0.312 | 71.31 | <0.001 | |
Notes: The optimum lags were automatically selected by Schwarz Info Criterion (SIC). Probabilities for Fisher tests were computed using an asymptotic Chi-square distribution, whereas other tests assumed an asymptotic normality.
Pedroni residual co-integration test (Nordic region in a 40-day period of the first wave of pandemic).
| Variables | Deterministic trend specification | Methods | No weight | Weighted | Conclusion | ||
|---|---|---|---|---|---|---|---|
| Statistic | Statistic | ||||||
| Daily deaths & social distancing | Individual intercept & trend | Panel PP-Statistic | −3.56 | <0.001 | −2.63 | 0.004 | Co-integrated |
| Panel ADF-Statistic | −4.22 | <0.001 | −4.79 | <0.001 | |||
| Group PP-Statistic | −2.60 | 0.004 | |||||
| Group ADF-Statistic | −4.21 | <0.001 | |||||
| Daily infections & social distancing | Individual intercept | Panel PP-Statistic | −2.79 | 0.002 | −2.67 | 0.003 | Co-integrated |
| Panel ADF-Statistic | −1.40 | 0.080 | −1.66 | 0.048 | |||
| Group PP-Statistic | −3.46 | <0.001 | |||||
| Group ADF-Statistic | −1.50 | 0.065 | |||||
| All hospital beds needed & social distancing | No intercept & no trend | Panel PP-Statistic | −3.92 | <0.001 | −4.05 | <0.001 | Co-integrated |
| Panel ADF-Statistic | −2.63 | 0.004 | −1.31 | 0.094 | |||
| Group PP-Statistic | −4.74 | <0.001 | |||||
| Group ADF-Statistic | −2.91 | 0.001 | |||||
| ICU beds needed & social distancing | No intercept & no trend | Panel PP-Statistic | −4.02 | <0.001 | −4.23 | <0.001 | Co-integrated |
| Panel ADF-Statistic | −2.54 | 0.005 | −2.07 | 0.019 | |||
| Group PP-Statistic | −5.64 | <0.001 | |||||
| Group ADF-Statistic | −3.35 | <0.001 | |||||
| Beds needed in infection wards & social distancing | No intercept & no trend | Panel PP-Statistic | −4.02 | <0.001 | −4.10 | <0.001 | Co-integrated |
| Panel ADF-Statistic | −2.92 | 0.001 | −1.48 | 0.068 | |||
| Group PP-Statistic | −4.79 | <0.001 | |||||
| Group ADF-Statistic | −2.59 | 0.004 | |||||
| Nurses needed in ICUs & social distancing | No intercept & no trend | Panel PP-Statistic | −3.48 | <0.001 | −3.61 | <0.001 | Co-integrated |
| Panel ADF-Statistic | −2.92 | 0.001 | −1.97 | 0.024 | |||
| Group PP-Statistic | −4.52 | <0.001 | |||||
| Group ADF-Statistic | −4.18 | <0.001 | |||||
| Nurses needed in infection wards & social distancing | No intercept & no trend | Panel PP-Statistic | −4.75 | <0.001 | −4.58 | <0.001 | Co-integrated |
| Panel ADF-Statistic | −3.74 | <0.001 | −3.00 | 0.001 | |||
| Group PP-Statistic | −5.86 | <0.001 | |||||
| Group ADF-Statistic | −3.61 | <0.001 | |||||
Notes: Null Hypothesis of Pedroni test: No cointegration. Trend assumption was the existence of no deterministic trend. Automatic lag length selection used based on SIC with a max lag of 9. Newey-West automatic used to estimate bandwidth and Bartlett was calculated by kernel.
Panel dynamic long-run models (Nordic region in a 40-day period of the first wave of pandemic).
| Dependent variable | Independent variable | Coefficient | Std. Error | Durbin-Watson stat | |||
|---|---|---|---|---|---|---|---|
| Daily deaths | Constant | 0.100221 | 0.06 | 1.65 | 0.098 | 0.99 | 1.24 |
| Social distancing | −0.03247 | 0.01 | −1.89 | 0.059 | |||
| Daily deaths (−1) | 0.971182 | 0.00 | 163.72 | <0.001 | |||
| Elasticity: −0.03247/(1–0.971182) = −1.126761 | |||||||
| Method: Panel EGLS (Period weights) with linear estimation after one-step weighting matrix | |||||||
| Daily infections | Constant | 0.38403 | 0.05 | 6.90 | <0.001 | 0.99 | 1.27 |
| Social distancing | −0.10833 | 0.01 | −7.82 | <0.001 | |||
| Daily infections | 0.992902 | 0.00 | 265.64 | <0.001 | |||
| Elasticity: −0.10833/(1–0.992902) = −15.262468 | |||||||
| Method: Panel EGLS (Cross-section weights) with linear estimation after one-step weighting matrix | |||||||
| All hospital beds needed | Constant | 0.39294 | 0.05 | 6.85 | <0.001 | 0.99 | 0.70 |
| Social distancing | −0.06199 | 0.01 | −4.55 | <0.001 | |||
| All hospital beds needed (−1) | 0.943664 | 0.00 | 171.28 | <0.001 | |||
| Elasticity: −0.06199/(1–0.943664) = −1.100327 | |||||||
| Method: Panel EGLS (Cross-section SUR) with linear estimation after one-step weighting matrix | |||||||
| ICU beds needed | Constant | 0.434276 | 0.05 | 7.28 | <0.001 | 0.99 | 0.81 |
| Social distancing | −0.09481 | 0.01 | −5.95 | <0.001 | |||
| ICU beds needed (−1) | 0.919305 | 0.00 | 161.89 | <0.001 | |||
| Elasticity: −0.09481/(1–0.919305) = −1.174918 | |||||||
| Method: Panel EGLS (Cross-section SUR) with linear estimation after one-step weighting matrix | |||||||
| Beds needed in infection wards | Constant | 0.398096 | 0.08 | 4.84 | <0.001 | 0.99 | 0.61 |
| Social distancing | 0.940888 | 0.15 | 6.14 | <0.001 | |||
| Social distancing (−1) | −1.01671 | 0.14 | −6.99 | <0.001 | |||
| Beds needed in infection wards (−1) | 0.959804 | 0.00 | 138.68 | <0.001 | |||
| Elasticity: (0.940888–1.01671)/(1–0.959804) = −1.886183 | |||||||
| Method: Panel EGLS (Cross-section weights) with linear estimation after one-step weighting matrix | |||||||
| Nurses needed in ICUs | Constant | 0.59199 | 0.06 | 8.63 | <0.001 | 0.99 | 0.50 |
| Social distancing | −0.09481 | 0.01 | −5.95 | <0.001 | |||
| Nurses needed in ICU (−1) | 0.919305 | 0.00 | 161.89 | <0.001 | |||
| Elasticity: –0.09481/(1–0.919305) = −1.174918 | |||||||
| Method: Panel EGLS (Cross-section weights) with linear estimation after one-step weighting matrix | |||||||
| Nurses needed in infection wards | Constant | 0.431575 | 0.08 | 4.96 | <0.001 | 0.99 | 0.49 |
| Social distancing | 0.940888 | 0.15 | 6.14 | <0.001 | |||
| Social distancing (−1) | −1.01671 | 0.14 | −6.99 | <0.001 | |||
| Nurses needed in infection wards (−1) | 0.959804 | 0.00 | 138.68 | <0.001 | |||
| Elasticity: (0.940888–1.01671)/(1–0.959804) = −1.886183 | |||||||
| Method: Panel EGLS (Cross-section weights) with linear estimation after one-step weighting matrix | |||||||
Notes: The optimum lag lengths were selected using Schwarz Info Criterion (SIC) from 0 to 2. “(−1)” in each variable means a lagged series.
Panel error correction models (Nordic region in a 40-day period of the first wave of pandemic).
| Dependent variable | Independent variable | Coefficient | Std. Error | Durbin-Watson stat | |||
|---|---|---|---|---|---|---|---|
| Δ Daily deaths | Constant | 0.055817 | 0.01 | 5.15 | <0.001 | 0.06 | 1.67 |
| Δ Social distancing | 0.492877 | 0.21 | 2.26 | 0.024 | |||
| Error correction (−1) | −0.014955 | 0.00 | −2.11 | 0.035 | |||
| The length of restoring back to equilibrium (days): 1/0.014955 = 66.867268 | |||||||
| Method: Panel EGLS (Cross-section SUR) with linear estimation after one-step weighting matrix | |||||||
| Δ Daily infections | Constant | −0.033482 | 0.00 | −7.24 | <0.001 | 0.09 | 1.67 |
| Δ Social distancing | 0.267803 | 0.10 | 2.65 | 0.008 | |||
| Error correction (−1) | 0.016096 | 0.00 | 3.51 | <0.001 | |||
| The length of restoring back to equilibrium (days): 1/0.016096 = 62.127237 | |||||||
| Method: Panel EGLS (Cross-section weights) with linear estimation after one-step weighting matrix | |||||||
| Δ All hospital beds needed | Constant | 0.052983 | 0.00 | 6.29 | <0.001 | 0.22 | 0.75 |
| Δ Social distancing | 0.628493 | 0.13 | 4.60 | <0.001 | |||
| Error correction (−1) | −0.024803 | 0.00 | −4.06 | <0.001 | |||
| The length of restoring back to equilibrium (days): 1/0.024803 = 40.317704 | |||||||
| Method: Panel EGLS (Cross-section weights) with linear estimation after one-step weighting matrix | |||||||
| Δ Beds/Nurses needed ICUs | Constant | 0.053300 | 0.00 | 8.93 | <0.001 | 0.45 | 0.56 |
| Δ Social distancing | 0.935694 | 0.14 | 6.27 | <0.001 | |||
| Error correction (−1) | −0.043789 | 0.00 | −5.95 | <0.001 | |||
| The length of restoring back to equilibrium (days): 1/0.043789 = 22.836785 | |||||||
| Method: Panel EGLS (Cross-section weights) with linear estimation after one-step weighting matrix | |||||||
| Δ Beds/Nurses needed in infection wards | Constant | 0.053543 | 0.00 | 6.29 | <0.001 | 0.24 | 0.81 |
| Δ Social distancing | 0.772321 | 0.14 | 5.50 | <0.001 | |||
| Error correction (−1) | −0.020388 | 0.00 | −3.41 | <0.001 | |||
| The length of restoring back to equilibrium (days): 1/0.020388 = 49.048460 | |||||||
| Method: Panel EGLS (Cross-section SUR) with linear estimation after one-step weighting matrix | |||||||
Notes: The optimum lag lengths were selected using Schwarz Info Criterion (SIC) from 0 to 2. “(−1)” in each variable means a lagged series. Error corrections calculated by the residual series gained from ordinary regressing each variable on social distancing.