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      Methods for modelling excess mortality across England during the COVID-19 pandemic

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          Abstract

          Excess mortality is an important measure of the scale of the coronavirus-2019 pandemic. It includes both deaths caused directly by the pandemic, and deaths caused by the unintended consequences of containment such as delays to accessing care or postponements of healthcare provision in the population. In 2020 and 2021, in England, multiple groups have produced measures of excess mortality during the pandemic. This paper describes the data and methods used in five different approaches to estimating excess mortality and compares their estimates.

          The fundamental principles of estimating excess mortality are described, as well as the key commonalities and differences between five approaches. Two of these are based on the date of registration: a quasi-Poisson model with offset and a 5-year average; and three are based on date of occurrence: a Poisson model without offset, the European monitoring of excess mortality model and a synthetic controls model. Comparisons between estimates of excess mortality are made for the period March 2020 through March 2021 and for the two waves of the pandemic that occur within that time-period.

          Model estimates are strikingly similar during the first wave of the pandemic though larger differences are observed during the second wave. Models that adjusted for reduced circulation of winter infection produced higher estimates of excess compared with those that did not. Models that do not adjust for reduced circulation of winter infection captured the effect of reduced winter illness as a result of mobility restrictions during the period. None of the estimates captured mortality displacement and therefore may underestimate excess at the current time, though the extent to which this has occurred is not yet identified. Models use different approaches to address variation in data availability and stakeholder requirements of the measure. Variation between estimates reflects differences in the date of interest, population denominators and parameters in the model relating to seasonality and trend.

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          Most cited references15

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          Methods for current statistical analysis of excess pneumonia-influenza deaths.

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            Is Open Access

            Excess all-cause mortality during the COVID-19 pandemic in Europe – preliminary pooled estimates from the EuroMOMO network, March to April 2020

            A remarkable excess mortality has coincided with the COVID-19 pandemic in Europe. We present preliminary pooled estimates of all-cause mortality for 24 European countries/federal states participating in the European monitoring of excess mortality for public health action (EuroMOMO) network, for the period March–April 2020. Excess mortality particularly affected  ≥ 65 year olds (91% of all excess deaths), but also 45–64 (8%) and 15–44 year olds (1%). No excess mortality was observed in 0–14 year olds.
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              Harvesting and long term exposure effects in the relation between air pollution and mortality.

              While time series analyses have demonstrated that airborne particles are associated with early death, they have not clarified how much the deaths are advanced. If all of the pollution-related deaths were advanced by only a few days, one would expect little association between weekly averages of air pollution and daily deaths. The author used the STL algorithm to classify data on air pollution, daily deaths, and weather from Boston, Massachusetts (1979-1986) into three time series: one reflecting seasonal and longer fluctuations, one reflecting short term fluctuations, and one reflecting intermediate patterns. By varying the cutoff point between short term and intermediate term, it was possible to examine harvesting on different time scales. For chronic obstructive pulmonary disease, there was evidence that most of the mortality was displaced by only a few months. For pneumonia, heart attacks, and all-cause mortality, the effect size increased with longer time scales. The percentage increase in all deaths associated with a 10-microg/m3 increase in PM2.5 rose from 2.1% (95% confidence interval: 1.5, 4.3) to 3.75% (95% confidence interval: 3.2, 4.3) as the focus moved from daily patterns to monthly patterns. This is consistent with the larger effect seen in prospective cohort studies, rather than harvesting's playing a major role.
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                Author and article information

                Journal
                Stat Methods Med Res
                Stat Methods Med Res
                SMM
                spsmm
                Statistical Methods in Medical Research
                SAGE Publications (Sage UK: London, England )
                0962-2802
                1477-0334
                September 2022
                September 2022
                September 2022
                : 31
                : 9 , Special Issue: Pandemics
                : 1790-1802
                Affiliations
                [1 ]Ringgold 371011, universityPublic Health England; , Health Improvement, UK
                [2 ]Telethon Kids Institute, Ringgold 117610, universityUniversity of Western Australia; ,  Australia
                [3 ]Statistics, Modelling and Economics Department (SMED), National Infection Service, Data and Analytical Sciences, Ringgold 371011, universityPublic Health England; ,  UK
                [4 ]UCL Institute for Health Inequalities, UK
                [5 ]Population Health Sciences Institute, Ringgold 5994, universityNewcastle University; , UK
                [6 ]MRC Biostatistics Unit, University of Cambridge, School of Clinical Medicine, UK
                Author notes
                [*]Sharmani Barnard, Public Health England, Health Improvement, Wellington House, 133-155 Waterloo Road, London SE1 8UG, UK. Email: sharmani.barnard@gmail.com
                [*]

                Joint first authors.

                Author information
                https://orcid.org/0000-0001-7582-5558
                Article
                10.1177_09622802211046384
                10.1177/09622802211046384
                9465060
                34693801
                ae02f19c-75d4-4059-9604-90584fba9e58
                © The Author(s) 2021

                This article is made available via the PMC Open Access Subset for unrestricted re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the COVID-19 pandemic or until permissions are revoked in writing. Upon expiration of these permissions, PMC is granted a perpetual license to make this article available via PMC and Europe PMC, consistent with existing copyright protections.

                History
                Funding
                Funded by: Australian Research Council's Centre of Excellence for Children and Families over the Life Course;
                Award ID: CE200100025
                Categories
                Special Issue Articles
                Custom metadata
                ts19

                covid-19,coronavirus,all cause mortality,excess deaths
                covid-19, coronavirus, all cause mortality, excess deaths

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