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BMJ 2008;336:1482-1486 (28 June), doi:10.1136/bmj.a137 (published 19 June 2008)
Ziad Obermeyer, research scientist1,2, Christopher J L Murray, institute director1, Emmanuela Gakidou, associate professor1
1 Institute for Health Metrics and Evaluation, University of Washington, Seattle, WA, USA, 2 Harvard Medical School, Boston, MA, USA
Correspondence to: Z Obermeyer ziad_obermeyer{at}hms.harvard.edu
Design Analysis of survey data on mortality, adjusted for sampling bias and censoring, from nationally representative surveys designed to measure population health. Estimated deaths compared with estimates in database of passive reports.
Setting 2002-3 World health surveys, in which information was collected from one respondent per household about sibling deaths, including whether such deaths resulted from war injuries.
Main outcome measure Estimated deaths from war injuries in 13 countries over 50 years.
Results From 1955 to 2002, data from the surveys indicated an estimated 5.4 million violent war deaths (95% confidence interval 3.0 to 8.7 million) in 13 countries, ranging from 7000 in the Democratic Republic of Congo to 3.8 million in Vietnam. From 1995 to 2002 survey data indicate 36 000 war deaths annually (16 000 to 71 000) in the 13 countries studied. Data from passive surveillance, however, indicated a figure of only a third of this. On the basis of the relation between world health survey data and passive reports, we estimate 378 000 globalwar deaths annually from 1985-94, the last years for which complete passive surveillance data were available.
Conclusions The use of data on sibling history from peacetime population surveys can retrospectively estimate mortality from war. War causes more deaths than previously estimated, and there is no evidence to support a recent decline in war deaths.
The challenges to estimating war mortality are considerable. Civil registration systems that track deaths in peacetime typically fall apart during war, and many wars occur in places without pre-existing surveillance infrastructure. In the absence of reliable data from representative national information systems, three main techniques are currently used to generate estimates.
Existing techniques
Firstly, a few surveys have been undertaken during wars in specific countries to estimate mortality on the basis of household deaths.1 2 3 4 5 6 7 8 9 10 These surveys have produced timely estimates, despite the usual problems of estimating adult mortality from surveys11 and the additional logistical challenges posed by ongoing warfare. The politicised environment surrounding the Iraq mortality studies in particular, however, has generated considerable debate regarding the statistical validity of such studies. The small number of clusters often necessitated by active combat can lead to high levels of uncertainty.12 13 Other researchers draw attention to the difficulties of extrapolating from small sample populations to the national level14 15 or to the difficulty of constructing a valid counterfactual for estimates of excess mortality.16 Some of the most serious criticisms allege systematic bias resulting from sampling methods17 or politically motivated over-reporting of deaths12 16 18 19—for example of non-household members.20 Whatever their merits, these critiques have taken on considerable importance in the public and scientific discourse surrounding estimates of mortality.
Secondly, some studies have attempted to calculate mortality from censuses using demographic techniques that compare the age distribution of a population before and after war.21 22 23 24 Reliable census data, however, are seldom available at these times and so strong assumptions are required to project existing data forward and backward. In addition, census based methods do not produce accurate estimates for populations with high migration, as occurs during war.25
Thirdly, several passive surveillance methods use information from eyewitness and media reports or statistics from mortuaries, gravesites, and health facilities. In the absence of population based data these data are typically the only ones available during ongoing conflicts and represent the most commonly cited sources for government and other estimates of war casualties, as in the current war in Iraq.26 27 In some post-conflict settings, including war crimes inquiries, active investigations have been undertaken to compile all available evidence from such sources and to supplement them further with intelligence reports, incomplete civil registration records, and missing persons lists.28 29 30
Passive reports
Passively reported data are subject to several biases. High levels of war related mortality occur in those violent and dangerous areas where eyewitnesses are least likely to go, resulting in systematic under-reporting of deaths by media sources.1 28 31 A similar bias is likely to affect statistics from mortuariesor health facilities,32 as well as partial civil registration records from those regions where government infrastructure remains intact. Media and eyewitness reports, and to a lesser degree facility records, are also subject to political pressures, which can result in either exaggeration or under-reporting of deaths. Such reports, however, represent the only source of information on deaths for the vast majority of conflicts, and passive data collection has formed the basis for most efforts to date to analyse global trends in war mortality. A collaboration between Uppsala University and the Peace Research Institute, Oslo, has produced a database (Uppsala/PRIO) that compiles and reconciles passive reports on violent deaths related to war globally from 1900 onward. This database is considered to be more consistent and comparable than other efforts.33 The data suggest that violent deaths from war have declined steadily since the second world war and that recent years have been some of the most peaceful of the past century.34 This claim lends empirical support to recent research suggesting that overall levels of violent conflict are falling globally35 36 37 38 and to the view that warfare has become less deadly in recent years thanks to technological innovations and strategic priorities designed to minimise civilian deaths.37 39
Given the paucity of population surveys and the known biases in passively reported data, we propose a new approach to estimate violent war deaths, using data on sibling history from household surveys conducted in peacetime and adjusting for known biases. Using nationally representative data from the World Health Organizations 2002-3 world health survey (WHS) programme, we produced estimates of such deaths in 13 countries over the past 50 years. This retrospective method, which is free from the logistical constraints imposed by active combat, is meant to augment and complement information from wartime survey efforts in three ways. Firstly, sample sizes are typically considerably greater and sampling more systematic than during active combat. Secondly, using siblings histories rather than household deaths addresses some of the serious criticisms of studies in the existing literature—namely, double counting and exaggeration of deaths. Finally, we corrected for known problems with mortality surveys—namely, under-representation of families with high mortality and censoring. Such retrospective population based methods can provide accurate data on war deaths, which are crucial for understanding historical trends as well as for future planning.
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We divided the period from 1955 to 2002 into blocks of 10 years; 1955 is the first year for which UN estimates of total deaths are available, and we chose intervals of 10 years to minimise the effect of random error and age heaping in reported ages and years. The last period (1995-2002) is shorter because the survey began in 2002. Across all surveys, information regarding cause of death was missing for 17% of deaths; we conservatively assumed these to be not related to war. Year of birth for respondents was assigned based on reported age or year of birth. Year of birth for siblings was assigned based either on the reported age difference between the respondent and each sibling or the siblings reported year of birth. For siblings for whom information on year of birth was missing, we imputed it by randomly drawing a sibling-respondent age difference from a normal distribution with mean and standard deviation based on individual country data from the relevant survey. Overall, year of birth was based on reported age for 83% of siblings and on reported year of birth for 16% and was imputed for 1%.
We based year of death on either the respondents report of how long ago the death occurred or how old the sibling was when he or she died. Information on year of death was missing for 25% of non-war deaths and 12% of war deaths. Given the significant difference in these proportions (t test, P<0.001), we probabilistically imputed a year of death to avoid upward bias. Overall, we calculated year of death on the reported number of years since the death for 70% of deaths and on the siblings reported age at death for 5% and imputed it for 25% of deaths.
To calculate probabilities of death for all causes and for war, we divided the number of deaths by the number of siblings alive in a given 10 year block, after applying two corrections. Firstly, to correct for the fact that families with high rates of mortality are under-represented in surveys, we weighted siblings by Bf/Sf, where Bf is the original sibship size and Sf is the number of siblings alive at the time of the survey, according to the method developed by Gakidou and King.42 Secondly, we corrected for left and right censoring that occurred in our data because of the limits of respondents age. Sibling deaths at older ages are less likely to be reported for years longer ago: to consider an extreme example, to report on the death of an 80 year old sibling 80 years ago, a respondent would have to be on average 160 years old. Likewise, adult respondents are less likely to have very young siblings (such as infants) on whom to report deaths in recent time periods. To correct for this censoring, we applied a regression model separately to probability of death in war and not in war. We exponentiated the corrected log probability of death from the war and non-war models and took the ratio of war to all cause probability to calculate the fraction of war deaths by age group, country, and year. We standardised using the WHO standard population43 and applied the calculated fraction of war deaths to estimates of total deaths by country and year. We captured uncertainty by simulating 1000 simultaneous draws from the variance-covariance matrix of both war and non-war models to arrive at 1000 estimates of the percentage deaths related to war; the 25th and 976th ranked estimates define the 95% uncertainty interval.44
Finally, we compared our estimates with those from the Uppsala/PRIO database using a linear model, with survey estimated war deaths from 1955-2002 as the dependent variable and Uppsala/PRIO war deaths from the same period as the independent variable. We used the relation derived from this model to adjust the global historical trend observed in the Uppsala/PRIO data. (A technical appendix with more details on the methods is available at http://healthmetricsandevaluation.org/resources/pubs.html.)
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Our analysis also suggests that war kills many more people than previously estimated. Data from the Uppsala/PRIO database indicate that an average of 137 000 died globally each year between 1985 and 1994, while we estimate a figure of nearly 378 000 over the same period. In addition to the absolute number of deaths, comparison of the pattern of deaths over time in survey estimates might lead to different conclusions about trends compared with data from media reports, both at country level and globally. Survey estimates from Sri Lanka suggest a consistent decline in deaths since 1975, while the Uppsala/PRIO estimates show an increase starting in 1985-94. In Ethiopia on the other hand, survey estimates indicate that deaths declined far more slowly than media reports indicate. Our adjustments to the Uppsala/PRIO data likewise do not support the claim that war deaths are declining globally. Overall, nationally representative surveys yield estimates of war deaths that are less optimistic than those based on passive surveillance, implying that it would rarely be appropriate to take such data as a true reflection of the magnitude or trend of deaths.
These findings suggest that the strong claims made on the basis of current data from media reports—namely, that the number of deaths related to war has declined consistently since the mid-20th century and that recent wars have killed relatively few people—should be re-evaluated. Our analysis suggests a method for adjustment of passive surveillance data, which might be the only option when other data are not available. Such approximate methods, however, are no substitute for real data as the adjusted uncertainty intervals are large, even without taking into account uncertainty in the point estimates on which the model is based. More resources are urgently needed for empirical measurement of war deaths.
Limitations
Our study has several limitations that might influence the interpretation of our results. Firstly, as the survey instrument collects information on deaths from war injuries, our estimates capture only direct violent deaths from war, not all excess deaths attributable to war. Previous studies have shown that while in some countries most war deaths result from such direct injuries,1 6 7 in other settings, such as those with less developed health infrastructure or worse overall health, violent deaths represent only a small fraction of total excess mortality.2 Secondly, there are several potential sources of bias in survey data. Recall bias might have resulted in an underestimate of war deaths as deaths that happened longer ago might be less likely to be reported, particularly in younger age groups. We address this by using corrected probabilities of death from the statistical model, but it is possible that our correction is insufficient.
The inability of surveys to capture families with no survivors is another source of downward bias; while simulation evidence suggests that these families account for only a small proportion of all mortality,42 this problem is likely to be more acute in war settings than in other high mortality settings. Overall, we think that the estimates presented here should be viewed as conservative, given these sources of downward bias. Results could also be biased upwards if deaths related to war are reported more frequently or more accurately than other deaths. The survey instrument was designed to minimise this error by asking respondents to enumerate all their siblings (both alive and dead) before answering specific questions about siblings who died. Imputation of missing year of death also corrects for poorer reporting of the timing of non-war deaths.
Thirdly, as the survey was not specifically designed to measure war deaths, the absolute number of sibling deaths captured is small, leading to considerable uncertainty around our point estimates of war deaths—this might be a consistent feature of any survey based estimate of adult mortality, particularly cause specific estimates like our study and previous studies of war mortality. Additional uncertainty might have been introduced into our results by using the UN estimates of total deaths; however, these numbers are the only available source of information on mortality level for these country periods. Fourthly, we restricted our estimates to country periods with more than five sibling war deaths to reduce uncertainty; doing so, however, might have excluded information from small conflicts, which account for less than 1% of all deaths.
Finally, the absence of an ideal standard measurement of war mortality—which is the reason that alternative techniques such as surveys are needed—prevents us from validating our estimates with respect to true numbers. In the absence of credible vital registration data during wartime, the prospect of a validation study against a standard dataset is unlikely. We were unable to locate estimates of deaths from wartime surveys with which to compare our estimates in the 13 countries studied; nor to our knowledge are any future surveys planned in these countries, which could have served to check the consistency of the estimates.
Comparisons with other sources
One source of comparison in Vietnam is an analysis of that countrys life history survey, which yielded an estimate of 966 000 war deaths between 1965 and 1975,47 considerably lower than the world health survey estimate (1.7 million). The authors acknowledge, however, that the Vietnam life history survey results are biased downwards because rural areas with higher mortality were under-represented and estimates were not corrected for under-representation of high mortality families. In addition, the small sample (403 households compared with 4089 in the world health surveys) might have missed clusters of high mortality areas.
Another comparison can be made between survey data and the estimate of 97 000 dead and missing in Bosnia in 1991-5 by the Research and Documentation Centre in Sarajevo,48 which has compiled a high quality database of records, testimonies, and eyewitness and historical reports.49 As with similar efforts in Iraq,27 reported data provide a useful minimum estimate of deaths: our estimate of 167 000 deaths is higher than the centres figure but still considerably lower than other estimates, which have ranged up to 329 000.30 The centres database also permits comparison of time trends, which indicate that most deaths occurred from 1992 to 1994. The general trend in both sets of numbers is similar, with a decrease in deaths in 1995-2002 relative to 1985-94, corresponding to the final year of the war.
As a final point of comparison, we applied our correction method, derived from the comparison of survey estimates with Uppsala/PRIO data, to data from the Iraq Body Count projects most recent report of 86 539 (the midpoint of the 82 772 to 90 305 range reported in April 2008) dead in Iraq since 2003.27 Our adjusted estimate of 184 000 violent deaths related to war falls between the Iraq Family Health Survey estimate of 151 000 (104 000 to 223 000)9 and the 601 000 estimate from the second Iraq mortality survey by Burnham and colleagues.1
Conclusions
Large scale population based surveys conducted in peacetime, despite their limitations, hold promise for measurement of war mortality for at least three reasons. Firstly, these surveys have several attributes (such as small sampling units, large numbers of clusters, stratification, random selection of households within clusters50) that are better suited to producing estimates of violent deaths—which tend to be geographically clustered—than those typically available during active humanitarian emergencies.51 Future surveys could reduce uncertainty around estimates from sibling histories by several techniques, including larger sample sizes, multiple non-sibling respondents per household, and more structured sibling histories. The survey performed well in the setting of some ongoing conflicts, such as Ethiopia and Sri Lanka, each gathering data on around 30 000 siblings with low non-response rates; it is clear, however, that the questionnaire and study design would need to be modified for use during high intensity conflicts. Secondly, household surveys in peacetime can be implemented quickly and relatively inexpensively. Finally, as population health surveys are not specifically designed to measure war mortality, and as respondents are asked to provide complete information on all of their siblings before survival status and cause of death are ascertained, there is less scope for exaggeration or double counting of deaths. In addition, such surveys can also provide information on causes of adult mortality other than war: recent advances in verbal autopsy techniques52 53 54 55 56 show promise for overcoming the many well known limitations of such cause of death data.
Accurate estimates of war mortality are crucial for planning on several different levels. Political, military, and public health leaders must have credible information on the number of deaths to plan properly before, during, and after wars. The public must also be aware of the human cost of wars. Information on war deaths is useful in the investigation of the scope of war crimes, as in the Nuremburg Trials after the second world war or the international criminal tribunal for the former Yugoslavia.30 57 Finally, an accurate count of the number of deaths in war is an important part of a nations history. The South African Truth and Reconciliation Commission is only one example of how a frank accounting of past tragedies is helping to make future ones less likely.
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Contributors: ZO, CJLM, and EG designed the study. ZO and EG performed statistical analyses. ZO, CJLM, and EG drafted the manuscript and approved the final version. ZO is guarantor.
Funding: Bill and Melinda Gates Foundation. WHO funded the world health surveys.
Competing interests: None declared.
Ethical approval: The world health surveys were approved by WHOs ethical review process.
Provenance and peer review: Not commissioned; externally peer reviewed.
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