{"id":284,"date":"2019-01-04T11:57:25","date_gmt":"2019-01-04T10:57:25","guid":{"rendered":"https:\/\/blogs.futura-sciences.com\/lehning\/?p=284"},"modified":"2019-07-09T10:38:00","modified_gmt":"2019-07-09T08:38:00","slug":"comment-evaluer-lesperance-de-vie-dun-bebe-qui-vient-de-naitre","status":"publish","type":"post","link":"https:\/\/blogs.futura-sciences.com\/lehning\/2019\/01\/04\/comment-evaluer-lesperance-de-vie-dun-bebe-qui-vient-de-naitre\/","title":{"rendered":"Comment \u00e9valuer l&#8217;esp\u00e9rance de vie d&#8217;un b\u00e9b\u00e9 qui vient de na\u00eetre ?"},"content":{"rendered":"<p><span style=\"margin: 0px;line-height: 200%;font-family: 'Arial',sans-serif;font-size: 12pt\"><span style=\"color: #000000\">Une fille vient de na\u00eetre. Les m\u00e9dias nous apprennent qu\u2019elle a une esp\u00e9rance de vie de 85 ans. D\u2019o\u00f9 vient cette pr\u00e9diction\u00a0? Que signifie l\u2019esp\u00e9rance de vie\u00a0? Pour le comprendre, dans un premier temps, oubliez le sens commun du verbe \u00ab\u00a0esp\u00e9rer\u00a0\u00bb car la d\u00e9finition n\u2019est claire que pour les g\u00e9n\u00e9rations enti\u00e8rement d\u00e9c\u00e9d\u00e9es\u00a0! La voici. L\u2019esp\u00e9rance de vie est la dur\u00e9e moyenne de vie des personnes n\u00e9es la m\u00eame ann\u00e9e. La d\u00e9finition est \u00e9trange puisque, toutes ces personnes \u00e9tant d\u00e9c\u00e9d\u00e9es, leur vie n\u2019est plus une esp\u00e9rance. Si ce n\u2019\u00e9tait le c\u00f4t\u00e9 macabre, peut-\u00eatre vaudrait-il mieux parler d\u2019\u00e2ge moyen \u00e0 la mort\u00a0? La notion est identique, m\u00eame si l\u2019esp\u00e9rance de vie devient \u00e9quivalente \u00e0 celle de mort. Toutefois, le terme \u00ab\u00a0esp\u00e9rance de vie\u00a0\u00bb se comprend mieux pour les vivants.<\/span><\/span><\/p>\n<h2>Une d\u00e9finition macabre<\/h2>\n<p><span style=\"margin: 0px;line-height: 200%;font-family: 'Arial',sans-serif;font-size: 12pt\"><span style=\"color: #000000\">Pour l\u2019instant, restons malgr\u00e9 tout sur les g\u00e9n\u00e9rations pass\u00e9es car ce sont les seules qui permettent des calculs certains. Pour d\u00e9terminer l\u2019esp\u00e9rance de vie des gens n\u00e9s en 1850 par exemple, il suffit de conna\u00eetre tous les actes de naissance de 1850 et tous les actes de d\u00e9c\u00e8s post\u00e9rieurs. On en d\u00e9duit les \u00e2ges au d\u00e9c\u00e8s et on en fait la moyenne\u2026 on trouve 41 ans. Cependant, ce calcul n&#8217;est possible que pour les g\u00e9n\u00e9rations enti\u00e8rement d\u00e9c\u00e9d\u00e9es, pas pour les enfants qui viennent de na\u00eetre !<\/span><\/span><\/p>\n<h2>Un mod\u00e8le de la r\u00e9alit\u00e9<\/h2>\n<p><span style=\"margin: 0px;line-height: 200%;font-family: 'Arial',sans-serif;font-size: 12pt\"><span style=\"color: #000000\">Pour pr\u00e9voir l\u2019esp\u00e9rance de vie de ceux qui viennent de na\u00eetre, on imagine qu\u2019ils subiront \u00e0 chaque \u00e2ge de leur vie la mortalit\u00e9 de l\u2019ann\u00e9e en cours. Plus pr\u00e9cis\u00e9ment, on calcule le quotient de mortalit\u00e9 des deux sexes \u00e0 chaque \u00e2ge gr\u00e2ce \u00e0 des estimations de population et de d\u00e9c\u00e8s. En l\u2019absence de toute migration, l\u2019id\u00e9e est tr\u00e8s simple. Le premier janvier 2009, on compte 440428 hommes de 40 ans et 815 d\u00e9c\u00e8s d\u2019hommes de 40 ans pendant l\u2019ann\u00e9e 2\u00a0009. Le quotient de mortalit\u00e9 des hommes de 40 ans est donc estim\u00e9 \u00e0 815 divis\u00e9 par 440\u00a0428, soit 1,850\u00a0\u2030. La m\u00e9thode est fiable si on peut appliquer la loi des grands nombres. Ses r\u00e9sultats sont fantaisistes quand ce n\u2019est pas le cas, particuli\u00e8rement pour les grands \u00e2ges.<\/span><\/span><\/p>\n<p><span style=\"color: #000000\"><span style=\"margin: 0px;line-height: 200%;font-family: 'Arial',sans-serif;font-size: 12pt\"><span style=\"margin: 0px;font-family: 'Arial',sans-serif;font-size: 12pt\">\u00c0 <\/span> p<\/span><span style=\"margin: 0px;line-height: 200%;font-family: 'Arial',sans-serif;font-size: 12pt\">artir de ces quotients de mortalit\u00e9 des personnes de chaque \u00e2ge, les statisticiens reconstruisent des tables de mortalit\u00e9. On ne consid\u00e8re donc plus une population r\u00e9elle mais une g\u00e9n\u00e9ration fictive de 100000 individus qui conna\u00eetrait toute sa vie les conditions de mortalit\u00e9 par \u00e2ge de l\u2019ann\u00e9e consid\u00e9r\u00e9e. La table que l\u2019on peut construire chaque ann\u00e9e sur cette g\u00e9n\u00e9ration fictive est appel\u00e9e la table du moment. C\u2019est \u00e0 partir de cette table qu\u2019on calcule l\u2019esp\u00e9rance de vie des enfants d\u00e8s leur naissance. Cette m\u00e9thode est fond\u00e9e sur l\u2019hypoth\u00e8se que la situation de la mortalit\u00e9 restera identique \u00e0 ce qu\u2019elle est actuellement, et ceci alors m\u00eame que nous savons qu\u2019il n\u2019en est rien\u00a0! Malgr\u00e9 tout, ces r\u00e9sultats donnent une id\u00e9e plus vraisemblable de la r\u00e9alit\u00e9 du futur que l\u2019utilisation de tables de mortalit\u00e9 de g\u00e9n\u00e9rations d\u00e9c\u00e9d\u00e9es. Mieux vaut parfois une approximation raisonnable qu\u2019une pr\u00e9cision illusoire.<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<!-- AddThis Advanced Settings generic via filter on the_content --><!-- AddThis Share Buttons generic via filter on the_content -->","protected":false},"excerpt":{"rendered":"<p>Une fille vient de na\u00eetre. Les m\u00e9dias nous apprennent qu\u2019elle a une esp\u00e9rance de vie de 85 ans. D\u2019o\u00f9 vient cette pr\u00e9diction\u00a0? Que signifie l\u2019esp\u00e9rance de vie\u00a0? Pour le comprendre, dans un premier temps, oubliez le sens commun du verbe \u00ab\u00a0esp\u00e9rer\u00a0\u00bb car la d\u00e9finition n\u2019est claire que pour les g\u00e9n\u00e9rations enti\u00e8rement d\u00e9c\u00e9d\u00e9es\u00a0! La voici. L\u2019esp\u00e9rance &hellip; <a href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2019\/01\/04\/comment-evaluer-lesperance-de-vie-dun-bebe-qui-vient-de-naitre\/\" class=\"more-link\">Continuer la lecture de <span class=\"screen-reader-text\">Comment \u00e9valuer l&#8217;esp\u00e9rance de vie d&#8217;un b\u00e9b\u00e9 qui vient de na\u00eetre ?<\/span>  <span class=\"meta-nav\">&rarr;<\/span><\/a><!-- AddThis Advanced Settings generic via filter on get_the_excerpt --><!-- AddThis Share Buttons generic via filter on get_the_excerpt --><\/p>\n","protected":false},"author":12,"featured_media":287,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[29,15],"tags":[138,137,30,136,129],"class_list":["post-284","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths-2","category-reflexions","tag-demographie","tag-esperance-de-vie","tag-modele-mathematique","tag-mortalite","tag-statistiques"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Comment \u00e9valuer l&#039;esp\u00e9rance de vie d&#039;un b\u00e9b\u00e9 qui vient de na\u00eetre ?, par Herv\u00e9 Lehning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2019\/01\/04\/comment-evaluer-lesperance-de-vie-dun-bebe-qui-vient-de-naitre\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Comment \u00e9valuer l&#039;esp\u00e9rance de vie d&#039;un b\u00e9b\u00e9 qui vient de na\u00eetre ?, par Herv\u00e9 Lehning\" \/>\n<meta property=\"og:description\" content=\"Une fille vient de na\u00eetre. Les m\u00e9dias nous apprennent qu\u2019elle a une esp\u00e9rance de vie de 85 ans. D\u2019o\u00f9 vient cette pr\u00e9diction\u00a0? Que signifie l\u2019esp\u00e9rance de vie\u00a0? Pour le comprendre, dans un premier temps, oubliez le sens commun du verbe \u00ab\u00a0esp\u00e9rer\u00a0\u00bb car la d\u00e9finition n\u2019est claire que pour les g\u00e9n\u00e9rations enti\u00e8rement d\u00e9c\u00e9d\u00e9es\u00a0! La voici. 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