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Journal of Population Sciences

Table 2 Details of the presented approaches for excess mortality estimation during the COVID-19 pandemic

From: Assessing excess mortality in times of pandemics based on principal component analysis of weekly mortality data—the case of COVID-19

Study

Geography

Demographics

Data

Method

Main Results

Consideration of Long-term Trends in Mortality

Quantification of Stochasticity

Dealing with Correlations among time series

Magnani et al.

4,433 Italian municipalities

No sex distinction

Two age groups

Daily death numbers from January 1st to April 15th, 2015-2020

Yearly population estimates for January 1st, 2015–2019

Daily Death numbers attributed to COVID-19 by lab testing in 2020

Mean mortality rates by calendar days for 2015–2020 are computed

Daily mortality rate estimates in 2020 are computed and assumed to follow a Poisson distribution

Relative risk estimates with 95% CIs are computed relative to the baseline mean rates for 2015–2019

Statistically significant increase in mortality rates between early-March and mid-April, 2020 in Italy

Only significant for North and parts of Central Italy

Only significant for persons above age 59, except for Lombardia (both age groups significant)

None

Poisson assumption for observed deaths in 2020

None

Michelozzi et al.

19 Italian cities

Two sexes

Four age groups

Daily death numbers from January 1st, 2015 to April 18th, 2020

Mean death numbers by calendar days for 2015–2020 are computed

Daily death numbers implicitly assumed to be Gaussian, 95% PIs of baseline data are computed

Comparison of observed death numbers with PIs

Statistically significant excess mortality in Italy between mid-March and mid-April, 2020

In the North, statistically significant excess mortality for males for all investigated age groups (age 15 and older), for females for age groups 65 and older

In the Center and South only statistically significant excess mortality for very old females (above age 84) and males (above age 74)

None

Prediction assumed Gaussian with a standard deviation of past five years

None

NYC DOHMH

New York City

None

Daily death numbers with a lab-confirmed COVID-19 infection in 2020

Daily death numbers are predicted by OLS fit of the Serfling model to daily death numbers of baseline period

Comparison of observed with expected daily death numbers

Comparison of COVID-19 associated deaths with overall excess mortality estimate

Excess mortality after March 10th, with a large share of confirmed or suspected COVID-19 cases

Serfling model

None

None

EUROMOMO

22 EU-28 countries

2 German federal states

No sex distinction

Seven age groups

Weekly all-cause death numbers since week 1, 2016

Poisson model fit to baseline data

95% PIs derived from the GLM model

Comparison of observed weekly death numbers to 95% PIs

Statistically significant excess mortality in all countries for age groups 45+ between circa calendar weeks 11 and 19, 2020; death numbers above threshold in calendar weeks 13–15 for persons aged 15–44 years; no significant excess mortality among children

Significant excess mortality observed in Belgium, France, Ireland, Italy, Netherlands, Portugal, Spain, Sweden, Switzerland, and the UK

No significant excess mortality in Austria, Denmark, Estonia, Finland, Greece, Hungary, Luxembourg, Malta, Norway, and the two German federal states

Poisson model

PIs from the GLM model

None

Ours

19 countries in Europe and the Middle East

Two sexes

Four age groups

Weekly all-cause mortality rate estimates since week 2, 2000 by HMD

Daily official COVID-19 associated deaths in 2020 by ECDC

Principal component analysis on all 152 time series of logit mortality rates simultaneously

OLS fit of logistic SARIMA model to past course of first PC

Monte Carlo simulation of weekly forecasts of all PCs

Retransformation of simulations to simulations of age-sex- and country-specific mortality rates

Multiplication of simulations with population estimates for 2020

Derivation of nonparametric PIs for forecasts of death numbers

Comparison of observed all-cause and COVID-19 associated weekly death numbers with PIs of forecasts

No significant excess mortality for persons below age 65, slightly significant excess mortality among females aged 65-74 years, statistically significant excess mortality among males above age 64 and females above age 74 years in calendar weeks 13–16, 2020

Statistically significant overall excess mortality only observable for Belgium, France, Netherlands, Scotland, Sweden, Poland, and Spain; results for Switzerland inconclusive; no significant excess mortality in Austria, Estonia, Finland, Hungary, Israel, Latvia, Lithuania, Norway, Portugal, Slovakia, and Slovenia

Logistic trend fitted to first principal component time series

SARIMA models and Monte Carlo simulation of principal component time series with nuisance derived from 20 years of past data, leading to stochastic estimates of all mortality rate series

Correlations among age groups and countries completely covered by principal component analysis