<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0042-9686</journal-id>
<journal-title><![CDATA[Bulletin of the World Health Organization]]></journal-title>
<abbrev-journal-title><![CDATA[Bull World Health Organ]]></abbrev-journal-title>
<issn>0042-9686</issn>
<publisher>
<publisher-name><![CDATA[World Health Organization]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0042-96862005000300013</article-id>
<article-id pub-id-type="doi">10.1590/S0042-96862005000300013</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[World mortality 1950-2000: divergence replaces convergence from the late 1980s]]></article-title>
<article-title xml:lang="fr"><![CDATA[Mortalité mondiale sur la période 1950 - 2000: la convergence laisse place à la divergence depuis la fin des années 80]]></article-title>
<article-title xml:lang="es"><![CDATA[Mortalidad mundial en 1950-2000: convergencia inicial, y divergencia a partir de finales de los ochenta]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Moser]]></surname>
<given-names><![CDATA[Kath]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Shkolnikov]]></surname>
<given-names><![CDATA[Vladimir]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Leon]]></surname>
<given-names><![CDATA[David A.]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,London School of Hygiene and Tropical Medicine Department of Epidemiology and Population Health ]]></institution>
<addr-line><![CDATA[London ]]></addr-line>
<country>England</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Max Planck Institute for Demographic Research  ]]></institution>
<addr-line><![CDATA[Rostock ]]></addr-line>
<country>Germany</country>
</aff>
<aff id="A03">
<institution><![CDATA[,London School of Hygiene and Tropical Medicine Department of Epidemiology and Population Health ]]></institution>
<addr-line><![CDATA[London ]]></addr-line>
<country>England</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>03</month>
<year>2005</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>03</month>
<year>2005</year>
</pub-date>
<volume>83</volume>
<numero>3</numero>
<fpage>202</fpage>
<lpage>209</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielosp.org/scielo.php?script=sci_arttext&amp;pid=S0042-96862005000300013&amp;lng=en&amp;nrm=iso&amp;tlng=en"></self-uri><self-uri xlink:href="http://www.scielosp.org/scielo.php?script=sci_abstract&amp;pid=S0042-96862005000300013&amp;lng=en&amp;nrm=iso&amp;tlng=en"></self-uri><self-uri xlink:href="http://www.scielosp.org/scielo.php?script=sci_pdf&amp;pid=S0042-96862005000300013&amp;lng=en&amp;nrm=iso&amp;tlng=en"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[OBJECTIVE: We sought to investigate to what extent worldwide improvements in mortality over the past 50 years have been accompanied by convergence in the mortality experience of the world's population. METHODS: We have adopted a novel approach to the objective measurement of global mortality convergence. The global mortality distribution at a point in time is quantified using a dispersion measure of mortality (DMM). Trends in the DMM indicate global mortality convergence and divergence. The analysis uses United Nations data for 1950-2000 for all 152 countries with populations of at least 1 million in 2000 (99.7% of the world's population in 2000). FINDINGS: The DMM for life expectancy at birth declined until the late 1980s but has since increased, signalling a shift from global convergence to divergence in life expectancy at birth. In contrast, the DMM for infant mortality indicates continued convergence since 1950. CONCLUSION: The switch in the late 1980s from the global convergence of life expectancy at birth to divergence indicates that progress in reducing mortality differences between many populations is now more than offset by the scale of reversals in adult mortality in others. Global progress needs to be judged on whether mortality convergence can be re-established and indeed accelerated.]]></p></abstract>
<abstract abstract-type="short" xml:lang="fr"><p><![CDATA[OBJECTIF: Les auteurs ont cherché à étudier dans quelle mesure les améliorations des taux de mortalité enregistrées dans le monde au cours des cinquante dernières années s'étaient accompagnées d'une convergence dans la manière dont la mortalité touchait la population mondiale. MÉTHODES: Les auteurs ont adopté une nouvelle approche pour obtenir une mesure objective de la convergence de la mortalité dans le monde. Ils quantifient la distribution de la mortalité mondiale à un instant donné au moyen d'une mesure de la dispersion de la mortalité (DMM). Les tendances de cette mesure reflètent la convergence ou la divergence de la mortalité dans le monde. L'analyse fait appel aux données des Nations Unies pour la période 1950-2000 concernant l'ensemble des 152 pays dont la population atteignait au moins 1 million d'habitants en l'an 2000 (99,7 % de la population mondiale en l'an 2000). RÉSULTATS: La mesure de la dispersion relative à l'espérance de vie à la naissance a diminué jusqu'à la fin des années 80, mais remonté depuis, ce qui traduit un revirement de la convergence à la divergence de ce paramètre à l'échelle mondiale. En revanche, la mesure de dispersion relative à la mortalité infantile fait apparaître un maintien de la convergence depuis 1950. CONCLUSION: Le passage à la fin des années 80 d'une convergence mondiale de l'espérance de vie à la naissance à une divergence de ce paramètre indique que les progrès dans le nivellement des différences de mortalité entre de nombreuses populations sont maintenant plus que compensés par l'ampleur des inversions subies par la mortalité adulte dans d'autres populations. Il convient d'évaluer le progrès mondial en fonction de la possibilité de rétablir la convergence de la mortalité et même de l'accélérer.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[OBJETIVO: Decidimos investigar hasta qué punto las mejoras mundiales de la mortalidad registradas a lo largo de los últimos 50 años se han acompañado de un proceso de convergencia en la experiencia de mortalidad de la población mundial. MÉTODOS: Hemos adoptado un nuevo procedimiento para medir objetivamente la convergencia de la mortalidad mundial. La distribución de ésta en un determinado momento se evalúa mediante una Medida de Dispersión de la Mortalidad (MDM), cuya tendencia muestra la convergencia y divergencia de la mortalidad mundial. El análisis utiliza datos de las Naciones Unidas sobre el periodo 1950-2000 para los 152 países que poseían al menos un millón de habitantes en el año 2000 (el 99,7% de la población mundial de ese año). RESULTADOS: La MDM para la esperanza de vida al nacer disminuyó hasta finales de los años ochenta, pero ha vuelto a aumentar desde entonces, lo que pone de manifiesto una inflexión del proceso inicial de convergencia mundial. Sin embargo, la MDM correspondiente a la mortalidad en la niñez muestra una convergencia ininterrumpida desde 1950. CONCLUSIÓN: La inflexión registrada a finales de los años ochenta en las tendencias de la esperanza de vida al nacer, de una convergencia mundial a una situación de divergencia, indica que las mejoras de reducción de las diferencias de mortalidad entre numerosas poblaciones se han visto contrarrestadas ampliamente por la magnitud de los retrocesos que ha sufrido la mortalidad adulta en otros casos. Los progresos mundiales en este campo deberán calibrarse en función de si es posible restablecer, o incluso acelerar, la convergencia de la mortalidad.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Mortality]]></kwd>
<kwd lng="en"><![CDATA[Life expectancy]]></kwd>
<kwd lng="en"><![CDATA[Health status indicators]]></kwd>
<kwd lng="en"><![CDATA[Time factors]]></kwd>
<kwd lng="fr"><![CDATA[Mortalité]]></kwd>
<kwd lng="fr"><![CDATA[Espérance vie]]></kwd>
<kwd lng="fr"><![CDATA[Indicateur état sanitaire]]></kwd>
<kwd lng="fr"><![CDATA[Facteur temps]]></kwd>
<kwd lng="es"><![CDATA[Mortalidad]]></kwd>
<kwd lng="es"><![CDATA[Esperanza de vida]]></kwd>
<kwd lng="es"><![CDATA[Indicadores de salud]]></kwd>
<kwd lng="es"><![CDATA[Factores de tiempo]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="right"><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>RESEARCH</b></font></p>     <p>&nbsp;</p>     <p><font size="4" face="Verdana, Arial, Helvetica, sans-serif"><b><a name="topo"></a>World    mortality 1950&#151;2000: divergence replaces convergence from the late 1980s</b></font></p>     <p>&nbsp;</p>     <p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>Mortalit&eacute;    mondiale sur la p&eacute;riode 1950 - 2000 : la convergence laisse place &agrave;    la divergence depuis la fin des ann&eacute;es 80</b></font></p>     <p>&nbsp;</p>     <p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>Mortalidad mundial    en 1950-2000: convergencia inicial, y divergencia a partir de finales de los    ochenta</b></font></p>     <p>&nbsp;</p>     <p>&nbsp;</p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Kath Moser<sup>I,</sup><a href="#nt"><sup>1</sup></a>;    Vladimir Shkolnikov<sup>II</sup>; David A. Leon<sup>III</sup></b></font></p>     ]]></body>
<body><![CDATA[<p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><sup>I</sup>Lecturer,    Department of Epidemiology and Population Health, London School of Hygiene and    Tropical Medicine, Keppel Street, London WC1E 7HT, England (email: <a href="mailto:kath.moser@lshtm.ac.uk">kath.moser@lshtm.ac.uk</a>)    <br>   <sup>II</sup>Head of Data Laboratory, Max Planck Institute for Demographic Research,    Rostock, Germany    <br>   <sup>III</sup>Professor, Department of Epidemiology and Population Health, London    School of Hygiene and Tropical Medicine, London, England</font></p>     <p>&nbsp;</p>     <p>&nbsp;</p> <hr size="1" noshade>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>ABSTRACT</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>OBJECTIVE:</b>    We sought to investigate to what extent worldwide improvements in mortality    over the past 50 years have been accompanied by convergence in the mortality    experience of the world's population.    <br>   <b> METHODS:</b> We have adopted a novel approach to the objective measurement    of global mortality convergence. The global mortality distribution at a point    in time is quantified using a dispersion measure of mortality (DMM). Trends    in the DMM indicate global mortality convergence and divergence. The analysis    uses United Nations data for 1950&#151;2000 for all 152 countries with populations    of at least 1 million in 2000 (99.7% of the world's population in 2000).    <br>   <b> FINDINGS:</b> The DMM for life expectancy at birth declined until the late    1980s but has since increased, signalling a shift from global convergence to    divergence in life expectancy at birth. In contrast, the DMM for infant mortality    indicates continued convergence since 1950.    <br>   <b> CONCLUSION:</b> The switch in the late 1980s from the global convergence    of life expectancy at birth to divergence indicates that progress in reducing    mortality differences between many populations is now more than offset by the    scale of reversals in adult mortality in others. Global progress needs to be    judged on whether mortality convergence can be re-established and indeed accelerated.</font></p>     ]]></body>
<body><![CDATA[<p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Keywords:</b>    Mortality/trends; Life expectancy/trends; Health status indicators; Time factors    (<i>source: MeSH, NLM</i>).</font></p> <hr size="1" noshade>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>R&Eacute;SUM&Eacute;</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>OBJECTIF:</b>    Les auteurs ont cherch&eacute; &agrave; &eacute;tudier dans quelle mesure les    am&eacute;liorations des taux de mortalit&eacute; enregistr&eacute;es dans le    monde au cours des cinquante derni&egrave;res ann&eacute;es s'&eacute;taient    accompagn&eacute;es d'une convergence dans la mani&egrave;re dont la mortalit&eacute;    touchait la population mondiale.    <br>   <b> M&Eacute;THODES:</b> Les auteurs ont adopt&eacute; une nouvelle approche    pour obtenir une mesure objective de la convergence de la mortalit&eacute; dans    le monde. Ils quantifient la distribution de la mortalit&eacute; mondiale &agrave;    un instant donn&eacute; au moyen d'une mesure de la dispersion de la mortalit&eacute;    (DMM). Les tendances de cette mesure refl&egrave;tent la convergence ou la divergence    de la mortalit&eacute; dans le monde. L'analyse fait appel aux donn&eacute;es    des Nations Unies pour la p&eacute;riode 1950-2000 concernant l'ensemble des    152 pays dont la population atteignait au moins 1 million d'habitants en l'an    2000 (99,7 % de la population mondiale en l'an 2000).    <br>   <b> R&Eacute;SULTATS:</b> La mesure de la dispersion relative &agrave; l'esp&eacute;rance    de vie &agrave; la naissance a diminu&eacute; jusqu'&agrave; la fin des ann&eacute;es    80, mais remont&eacute; depuis, ce qui traduit un revirement de la convergence    &agrave; la divergence de ce param&egrave;tre &agrave; l'&eacute;chelle mondiale.    En revanche, la mesure de dispersion relative &agrave; la mortalit&eacute; infantile    fait appara&icirc;tre un maintien de la convergence depuis 1950.    <br>   <b> CONCLUSION:</b> Le passage &agrave; la fin des ann&eacute;es 80 d'une convergence    mondiale de l'esp&eacute;rance de vie &agrave; la naissance &agrave; une divergence    de ce param&egrave;tre indique que les progr&egrave;s dans le nivellement des    diff&eacute;rences de mortalit&eacute; entre de nombreuses populations sont    maintenant plus que compens&eacute;s par l'ampleur des inversions subies par    la mortalit&eacute; adulte dans d'autres populations. Il convient d'&eacute;valuer    le progr&egrave;s mondial en fonction de la possibilit&eacute; de r&eacute;tablir    la convergence de la mortalit&eacute; et m&ecirc;me de l'acc&eacute;l&eacute;rer.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Mots cl&eacute;s:</b>    Mortalit&eacute;/orientations; Esp&eacute;rance vie/orientations; Indicateur    &eacute;tat sanitaire; Facteur temps (<i>source: MeSH, INSERM</i>).</font></p> <hr size="1" noshade>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>RESUMEN</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>OBJETIVO:</b>    Decidimos investigar hasta qu&eacute; punto las mejoras mundiales de la mortalidad    registradas a lo largo de los &uacute;ltimos 50 a&ntilde;os se han acompa&ntilde;ado    de un proceso de convergencia en la experiencia de mortalidad de la poblaci&oacute;n    mundial.    <br>   <b> M&Eacute;TODOS:</b> Hemos adoptado un nuevo procedimiento para medir objetivamente    la convergencia de la mortalidad mundial. La distribuci&oacute;n de &eacute;sta    en un determinado momento se eval&uacute;a mediante una Medida de Dispersi&oacute;n    de la Mortalidad (MDM), cuya tendencia muestra la convergencia y divergencia    de la mortalidad mundial. El an&aacute;lisis utiliza datos de las Naciones Unidas    sobre el periodo 1950-2000 para los 152 pa&iacute;ses que pose&iacute;an al    menos un mill&oacute;n de habitantes en el a&ntilde;o 2000 (el 99,7% de la poblaci&oacute;n    mundial de ese a&ntilde;o).    ]]></body>
<body><![CDATA[<br>   <b> RESULTADOS:</b> La MDM para la esperanza de vida al nacer disminuy&oacute;    hasta finales de los a&ntilde;os ochenta, pero ha vuelto a aumentar desde entonces,    lo que pone de manifiesto una inflexi&oacute;n del proceso inicial de convergencia    mundial. Sin embargo, la MDM correspondiente a la mortalidad en la ni&ntilde;ez    muestra una convergencia ininterrumpida desde 1950.    <br>   <b> CONCLUSI&Oacute;N:</b> La inflexi&oacute;n registrada a finales de los a&ntilde;os    ochenta en las tendencias de la esperanza de vida al nacer, de una convergencia    mundial a una situaci&oacute;n de divergencia, indica que las mejoras de reducci&oacute;n    de las diferencias de mortalidad entre numerosas poblaciones se han visto contrarrestadas    ampliamente por la magnitud de los retrocesos que ha sufrido la mortalidad adulta    en otros casos. Los progresos mundiales en este campo deber&aacute;n calibrarse    en funci&oacute;n de si es posible restablecer, o incluso acelerar, la convergencia    de la mortalidad.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Palabras clave:</b>    Mortalidad/tendencies; Esperanza de vida/tendencias; Indicadores de salud; Factores    de tiempo (<i>fuente: DeCS, BIREME</i>).</font></p> <hr size="1" noshade>     <p align="center"><img src="/img/revistas/bwho/v83n3/arabic_3292.gif"></p> <hr size="1" noshade>     <p>&nbsp;</p>     <p>&nbsp;</p>     <p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>Introduction</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The international    community is paying increasing attention to the formulation and use of indicators    and targets against which human development can be measured. The Millennium    Development Goals, for example, have been widely adopted and provide a focus    for the diverse attempts being made to improve the health and welfare of the    world's population (<i>1</i>). Mortality is included in these goals as well    as being a component of the well established Human Development Indices used    in the Human Development Report (<i>2</i>).</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The 2003 Human    Development Report focuses on the Millennium Development Goals and states: "The    range of human development in the world is vast and uneven, with astounding    progress in some areas amid stagnation and dismal decline in others. Balance    and stability in the world will require the commitment of all nations, rich    and poor, and a global development compact to extend the wealth of possibilities    to all people." Thus there is a central vision of reducing global inequities,    and this vision is shared by the Director-General of WHO (<i>3, 4</i>).    With respect to income, there is an established tradition of using measures    such as the Gini coefficient to estimate trends in global inequities (<i>5</i>).    However, with respect to health, there are no quantitative indicators being    used to summarize the extent to which the mortality experience of the world's    population is converging over time. In this paper we present a novel measure,    the dispersion measure of mortality (DMM), that performs precisely this function.    Before discussing this measure it is necessary to describe global trends in    mortality.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">Over the past 50    years major demographic changes have affected all regions and countries. As    a result of changes in fertility and mortality the world's population has increased    from 2.5 billion to 6 billion. Declines in mortality rates, especially during    childhood, have been particularly remarkable (<a href="#fig01">Fig. 1</a>).    For the world as a whole life expectancy at birth has increased from 46.5 years    during the period 1950&#151;55 to 65.0 years during the period from 1995 to    2000 (<a href="#fig02">Fig. 2</a>). However, over the past decade the belief    that we were on a path of inexorable improvement in mortality that would benefit    people all over the world has been undermined. In the 1990s the impact of the    human immunodeficiency virus/acquired immune deficiency syndrome (HIV/AIDS)    epidemic, particularly in sub-Saharan Africa (<i>6</i>), and the serious health    crisis in the former Soviet Union (<i>7</i>) have shown that mortality reversals    can no longer be regarded as rare and exceptional phenomena. The situation we    find ourselves in is new. Before the 1970s there were almost no examples of    long-term reversals in mortality, with the obvious exceptions of those caused    by war and famine. Reflecting this, many of the classic analyses of the 1970s    that examined long-term demographic and epidemiological trends considered that    further significant gains in longevity in countries with low mortality were    unlikely but that death rates in countries with high mortality would fall, resulting    in a worldwide convergence in mortality (<i>8, 9</i>).</font></p>     ]]></body>
<body><![CDATA[<p><a name="fig01"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/bwho/v83n3/fig_1_3292.gif"></p>     <p>&nbsp;</p>     <p><a name="fig02"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/bwho/v83n3/fig_2_3292.gif" border="0"></p>     <p>&nbsp;</p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The recent reversals    of mortality highlight an important question: that is, to what extent have the    improvements in mortality over the past 50 years been accompanied by convergence    in the mortality experience of the world's population? Given the importance    of this question it is striking that few researchers have attempted to explicitly    address it. Mortality convergence is discussed by McMichael et al. who raise    concerns about whether it can be sustained given recent setbacks (<i>10</i>).    Similarly Wilson, in a systematic attempt to address the issue, concluded that    there had indeed been convergence over the past 50 years (<i>11</i>). However,    neither paper provided a quantitative summary measure of global mortality convergence.</font></p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>Methods</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">We adopted a novel    approach to measuring global mortality convergence, making use of a simple measure    to provide a DMM calculated for consecutive 5-year periods from 1950 to 2000.    Trends in the DMM indicate global convergence and divergence. Our analysis uses    estimates of life expectancy at birth, infant mortality, and live births for    10 five-year periods (1950&#151;55 to 1995&#151;2000) and population estimates    for midpoints of these periods (1952, 1957, 1962, etc.) taken from the United    Nations 2000 revision of <i>World population prospects</i> (<i>12</i>). We also    used data on mortality occurring among children less than 5 years old for 1990&#151;95    and 1995&#151;2000, the only two periods for which such data are available.    Data from all 152 countries with populations of at least 1 million in 2000 were    used. The excluded countries, mainly small island states, accounted for 0.27%    of the world's population in 2000. Mortality trends in the only 10 excluded    countries where the population exceeded 500 000 are similar to those of the    countries included in the analysis.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Dispersion measure    of mortality</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The DMM measures    the degree of dispersion that exists at any point in time in the mortality experience    of the world's population. It is calculated as the average absolute inter-country    mortality difference, weighted by population size, between each and every pair    of countries. This approach draws on more generic mathematical work on measures    of dispersion (<i>13</i>). Changes in the DMM over time indicate whether mortality    is becoming more or less similar across the globe; decreases indicate convergence,    while increases indicate divergence. The DMM for life expectancy at birth is    measured in years of life, and the DMM for infant mortality is measured in infant    deaths per thousand live births. So</font></p>     <p align="center"><img src="/img/revistas/bwho/v83n3/eq_1_3292.gif" align="middle"> where:</p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><i>i, j</i> are    countries, and 1 <u>&lt;</u> <i>i, j</i> <u>&lt;</u> 152    <br><i>z</i> is the    world    <br><i>M</i> is the    mortality rate    <br><i>W</i> is the    weighting, and <img src="/img/revistas/bwho/v83n3/eq_2_3292.gif" align="middle"></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">When applied to    life expectancy at birth, <i>M</i> = life expectancy at birth, <i>Wz</i> = 1    and <i>Wi</i> represents relative population size of country <i>i</i> adjusted,    however, in order to ensure that</font></p>     ]]></body>
<body><![CDATA[<p align="center"><img src="/img/revistas/bwho/v83n3/eq_3_3292.gif"></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">This adjustment    is made because, generally speaking, the weighted average of country-specific    life expectancies does not equal overall life expectancy (because life expectancies    are based on life table stationary populations that differ from real populations).    A simple transformation of population weights allows us to obtain weights so    that the above equation is true while ensuring the minimum deviation from the    original population weights (<i>14</i>). In the case of infant mortality, <i>M</i>    = infant mortality rate and <i>W</i> = live births (as used for the denominator    in calculating the infant mortality rate).</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The routinely available    mortality data used to construct the DMM are also used widely elsewhere (for    example in the human development indices). However, the validity of all applications    of global mortality data is subject to concerns about the quality of the data.    For many countries the demographic data used to construct global indices are    imprecise. In order to examine how far the trends in the DMM that we report    could reflect these concerns, and in particular for recent changes, we undertook    a series of sensitivity analyses.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The data are poorest    for sub-Saharan Africa, the region where two-thirds of the countries experiencing    recent mortality reversals are situated. Could data quality alone have accounted    for our findings? If the reversals had been greater or had occurred in more    countries than indicated by the data, or both, then our findings of divergence    would stand. However, to test whether the findings would hold even if the documented    reversals exaggerated the real situation we hypothesized that in the 24 countries    with reversals occurring between 1980&#151;85 and 1995&#151;2000 that firstly,    the decline in life expectancy at birth was actually only half that indicated    by the data, and secondly that mortality had stagnated but not reversed. (These    two scenarios were chosen in order to make generous allowances for data quality.)    Mortality in the remaining countries was as indicated by their data. In both    cases we recalculated the DMM using the hypothetical data.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">India and China    have played an important part in world demographic trends as a result of contributing    35&#151;40% of the world's population. Consequently, these countries have a    very large weighting in the calculation of the DMM. We tested whether replacing    national data with subnational data for India (25 states) and China (28 provinces),    thereby making the units of analysis nearer in size to other countries, had    any bearing on our findings.</font></p>     <p>&nbsp;</p>     <p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>Findings</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">Between 1950 and    the late 1980s the DMM for life expectancy at birth fell progressively after    which time it started to increase (<a href="#fig03">Fig. 3</a>). Thus a long    period of global convergence in life expectancy at birth has been replaced since    the late 1980s by divergence. This occurred despite the fact that global life    expectancy at birth improved throughout the period 1950&#151;2000 (<a href="#fig02">Fig.    2</a>).</font></p>     <p><a name="fig03"></a></p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p align="center"><img src="/img/revistas/bwho/v83n3/fig_3_3292.gif"></p>     <p>&nbsp;</p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">In order to see    what lies behind these summary trends we looked at net changes in life expectancy    at birth for individual countries in three consecutive 15&#151;20 year periods.    Over the first period, 1950&#151;55 to 1965&#151;70, life expectancy at birth    increased in all countries (<a href="/img/revistas/bwho/v83n3/html/a13fig04.htm#fig04a">Fig. 4a</a>).    Increases ranged from 1&#151;12 years (with the exception of China where the    increase was almost 19 years); the smallest increases occurred mostly in countries    with low mortality. In most countries life expectancy at birth continued to    improve over the period 1965&#151;70 to 1980&#151;85, although in parts of the    former Soviet Union, including the Russian Federation, life expectancy fell    and in many countries in central and eastern Europe it stagnated (<a href="/img/revistas/bwho/v83n3/html/a13fig04.htm#fig04b">Fig.    4b</a>). Most recently (1980&#151;85 to 1995&#151;2000) the pattern became much    more diffuse, with 24 countries (accounting for 7.6% of the world's population    in 1997) experiencing falls in life expectancy at birth (<a href="/img/revistas/bwho/v83n3/html/a13fig04.htm#fig04c">Fig.    4c</a>). Situations in these countries spanned high mortality to low mortality    and included 16 (out of 41) countries in sub-Saharan Africa, the remainder being    in Asia and the former Soviet Union. In eight countries (in sub-Saharan Africa    and the Democratic People's Republic of Korea) life expectancy fell by more    than 5 years.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">Given that infant    mortality is an important component of life expectancy at birth it might be    expected that trends in the DMM for this outcome would be the same as those    for life expectancy at birth. However, in contrast to the trend for life expectancy    at birth, the DMM for infant mortality decreased throughout the entire period    1950&#151;2000, indicating persistent convergence over the past 50 years (<a href="#fig05">Fig.    5</a>). A more detailed analysis (not shown) concludes that during the first    two 15&#151;20 year periods all countries had a net decrease in infant mortality.    However, between 1980&#151;85 and 1995&#151;2000 there was a net increase in    infant mortality in 5 of the 152 countries, although these reversals were clearly    not sufficient to reverse the overall trend of global convergence in infant    mortality.</font></p>     <p><a name="fig05"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/bwho/v83n3/fig_5_3292.gif"></p>     <p>&nbsp;</p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The DMM for mortality    among children younger than 5 years (for the two data points available) decreased    from 32.6 in 1990&#151;95 to 31.2 in 1995&#151;2000, indicating that convergence    occurred during the 1990s.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">Of the 24 countries    experiencing net declines in life expectancy at birth between 1980&#151;85 and    1995&#151;2000, 19 (in sub-Saharan Africa and the former Soviet Union) showed    simultaneous improvements in infant mortality (<a href="/img/revistas/bwho/v83n3/fig_6_3292.gif">Fig.    6</a>). The remaining five countries (Botswana, Burundi, Iraq, Kazakhstan, and    the Democratic People's Republic of Korea) experienced deteriorations in both    infant mortality and life expectancy at birth. The causes behind these exceptional    trends are likely to be diverse, although they will include the health effects    of political and economic isolation, as in the cases of Iraq and the Democratic    People's Republic of Korea.</font></p>     ]]></body>
<body><![CDATA[<p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">When the mortality    reversals between 1980&#151;85 and 1995&#151;2000 were assumed to be only half    the size indicated by the data, the DMM trend for life expectancy at birth still    showed a slight divergence in mortality in the 1990s preceded by a slight convergence    between the late 1980s and early 1990s (<a href="#fig07a">Fig. 7a</a>). When    mortality was assumed to have stagnated but not reversed in these same 24 countries,    the recalculated trends indicated continued convergence (<a href="#fig07b">Fig.    7b</a>). Replacing national data with subnational data for India and China for    the two time periods tested increased the DMM in 1950&#151;55 from 6.5 to 6.8    years and decreased it in 1975&#151;1980 from 6.0 to 5.9 years.</font></p>     <p><a name="fig07a"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/bwho/v83n3/fig_7_3292.gif"></p>     <p><a name="fig07b"></a></p>     <p align="center"><img src="/img/revistas/bwho/v83n3/fig_7b_3292.gif"></p>     <p>&nbsp;</p>     <p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>Discussion</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">This paper provides    the first systematic quantification of global mortality convergence. It shows    that the former trend of worldwide convergence towards low mortality has reversed.    For life expectancy at birth, the switch in the late 1980s from convergence    to divergence tells us that humanity has entered a phase during which progress    in reducing mortality differences between many populations is now more than    offset by the scale of the mortality reversals seen in others, notably in parts    of sub-Saharan Africa and the former Soviet Union. Since the late 1980s the    world has not only failed to become a more equal place in terms of mortality,    but it has actually become less equal. This has occurred despite continued general    improvements in mortality as reflected in the trends in global life expectancy    at birth and infant mortality.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The fact that we    observed recent global divergence in life expectancy at birth while infant mortality    continues to converge indicates that it is mortality reversals occurring among    those aged older than 1 year that are driving the divergence. The fact that    in the 1990s we also saw convergence in mortality among children less than 5    years old indicates that the divergence during this decade is not the result    of child mortality. We conclude, therefore, that the shift from global convergence    to divergence is being driven by reversals in adult mortality. With respect    to the former Soviet Union, including the Russian Federation, there is strong    evidence that the reversals in life expectancy at birth are almost exclusively    due to increases in adult mortality (<i>7</i>).</font></p>     ]]></body>
<body><![CDATA[<p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The DMM provides    a novel approach to objectively measuring global mortality convergence; it goes    beyond an enumeration of the countries showing improvements or reversals in    mortality. The DMM quantifies the global dispersion of mortality at a point    in time, and trends in the DMM indicate whether mortality of the world's population    is, on aggregate, becoming more similar or less similar. In using information    for all countries with a population of at least 1 million and weighting for    the population size of each country (or live births in the case of infant mortality)    the DMM has advantages over other commonly used summary measures of mortality    contrast that only use information from the extremes of the mortality or socioeconomic    distribution and do not weight for size of the unit. Being based on absolute    differences in mortality, the DMM avoids a problem frequently encountered when    using relative measures to examine time trends in inequality. Relative measures    are strongly affected by the value of the reference mortality rate and consequently,    in periods of falling mortality, tend to increase over time as the denominator    decreases. The DMM provides different and complementary information to that    given by the overall mortality level. Progress in one does not necessarily imply    progress in the other. Global mortality rates may improve while the mortality    distribution worldwide simultaneously diverges (in other words becomes less    equitable).</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">Wilson, in his    assessment of mortality convergence, failed to identify this transition from    convergence to divergence in the late 1980s (<i>11</i>). This was primarily    due to the fact that he contrasted three non-adjacent time periods (1950&#151;55,    1975&#151;80, 2000) and hence failed to capture the period of reversal that    occurred between the last two periods. In addition, he did not use a summary    statistic and relied instead upon visual inspection of graphical data and on    interquartile ranges that use only part of the available information.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Data source    and quality</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">Before discussing    these findings further it is important to mention the issue of data quality,    although quality is an issue for any measures that use global mortality data    to look at trends over time. The United Nations data used for this analysis    are the best that are available for long-term trends. However it is well known    that the source and quality of demographic data varies from place to place and    over time. Most of Europe, north America (the USA and Canada) and Oceania had    good registration systems and regular censuses covering the whole of the period    studied. In contrast, many low- and middle-income countries, with the exception    of some in Latin America and south-east Asia, have no (or incomplete) registers    of births and deaths. In particular, it is worth noting that data are poorest    in sub-Saharan Africa. Questions are asked in surveys and censuses in such countries    on child survival, birth histories, orphanhood, sibling histories, and recent    deaths in the household. Responses to these questions are often the main source    of demographic information for such countries, from which indirect methods are    used to estimate mortality and fertility (<i>6, 15&#151;17</i>).</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The quality of    mortality data in itself is unlikely to affect trends in the DMM, although it    may affect the absolute level of the DMM. The sensitivity analyses we undertook    indicate that our findings remain the same even if we use some worst-case scenarios    for data quality. Global divergence in life expectancy at birth would still    be apparent in the 1990s even if the mortality reversals were only half the    size indicated by the data. Moreover, no global divergence would be apparent    in recent years if the countries whose data indicated reversals actually only    had stagnating mortality. In other words, we conclude that the global divergence    we observe results from mortality reversals in some countries alongside continued    improvements in others.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Implications    for policy</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">We suggest that    global convergence in mortality needs to be adopted by the international community    as one of the criteria for judging progress towards a more equitable world.    The DMM has the potential to do this simply and transparently. It is a tool    that can be used to monitor moves to reinstate and accelerate the trend towards    global mortality convergence.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">A prerequisite    for effectively analysing and monitoring trends and formulating policy is the    availability of reliable and comprehensive data. The crucial importance of improving    data and developing better statistical measures has been highlighted (<i>2, 18</i>), and with the development of the Health Metrics Network (<i>19</i>)    there are hopes that the need to strengthen health information systems will    be seriously addressed.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">The Millennium    Development Goals have been internationally accepted as a framework for setting    development objectives (<i>1</i>). With respect to mortality per se their main    focus is on reducing mortality among children less than 5 years old. However,    as this paper has shown, mortality among children is not the main factor behind    the global divergence in life expectancy at birth. Our analysis suggests that    adult mortality should be given greater emphasis as a global public health priority    than is the case in the Millennium Development Goals (<i>20</i>).</font></p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>Conclusion</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">Although in one    sense the world has become a better place as mortality declines, in another    way it has become worse as the distribution of life expectancy at birth worldwide    has started to diverge; this indicates that global inequality in mortality is    increasing. So far this divergence is relatively small and has been of limited    duration compared with the earlier convergence. What is not clear is whether    the divergence will continue or become larger or whether it will be reversed.    Moreover, there are worrying signs that unless action is taken we may for the    first time see global divergence in childhood mortality (<i>2, 21</i>).    It is essential that policy-makers address these serious developments. The direction    of future trends depends upon action today. Future global progress should be    judged not only in terms of whether overall life expectancy continues to improve    but also according to whether mortality convergence can be re-established and    accelerated. The Dispersion Measure of Mortality offers a simple summary measure    that can be used to monitor progress in this direction. <img src="/img/revistas/bwho/v83n3/quad.gif"></font></p>     <p>&nbsp;</p>     <p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>Acknowledgements</b></font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">We are very grateful    to Chris Wilson for providing us with estimates of life expectancy at birth    for the states of India and provinces of China (see ref. 11 for a full description    of these data). The authors thank Andy Haines, Martin McKee, Liam Smeeth, Ian    Timaeus and Gill Walt for their comments on an earlier draft of this paper.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Funding:</b>    Kath Moser is supported by the Dreyfus Health Foundation.</font></p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><b>Conflicts of    interest:</b> none declared.</font></p>     <p>&nbsp;</p>     <p><font size="3" face="Verdana, Arial, Helvetica, sans-serif"><b>References</b></font></p>     <!-- ref --><p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">1. United Nations    Millennium Project. <i>Millennium development goals</i>, 2000. 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What targets for international development policies    are appropriate for improving health in Russia? <i>Health Policy and Planning</i>    2002;17:257-63.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=154185&pid=S0042-9686200500030001300020&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p><font size="2" face="Verdana, Arial, Helvetica, sans-serif">21. Victora CG,    Wagstaff A, Schellenberg JA, Gwatkin D, Claeson M, Habicht JP. Applying an equity    lens to child health and mortality: more of the same is not enough. <i>Lancet</i>    2003;362:233-41.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=154186&pid=S0042-9686200500030001300021&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><p>&nbsp;</p>     <p>&nbsp;</p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><i>Submitted: 18    March 2004 &#151; Final revised version received: 19 July 2004 &#151; Accepted:    13 September 2004</i></font></p>     <p>&nbsp;</p>     <p>&nbsp;</p>     <p><font size="2" face="Verdana, Arial, Helvetica, sans-serif"><a name="nt"></a><a href="#topo">1</a>    Correspondence should be sent to this author.</font></p>       ]]></body><back>
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