{"id":1673,"date":"2019-12-21T12:02:21","date_gmt":"2019-12-21T12:02:21","guid":{"rendered":"http:\/\/meumon.synology.me\/museu\/?p=1673"},"modified":"2022-03-11T17:58:44","modified_gmt":"2022-03-11T17:58:44","slug":"demografia-i-inventari","status":"publish","type":"post","link":"http:\/\/meumon.synology.me\/museu\/demografia-i-inventari\/","title":{"rendered":"Demografia i inventari"},"content":{"rendered":"<table>\n<thead>\n<tr>\n<th>Year<\/th>\n<th>Population<\/th>\n<th>Births per 1,000<\/th>\n<th>Births Between Benchmarks<\/th>\n<th>Number Ever Born<\/th>\n<th>Percent of Those Ever Born<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>50,000 B.C.E.<\/td>\n<td>2<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<\/tr>\n<tr>\n<td>8000 B.C.E.<\/td>\n<td>5,000,000<\/td>\n<td>80<\/td>\n<td>1,137,789,769<\/td>\n<td>1,137,789,769<\/td>\n<td>0.4<\/td>\n<\/tr>\n<tr>\n<td>1 C.E.<\/td>\n<td>300,000,000<\/td>\n<td>80<\/td>\n<td>46,025,332,354<\/td>\n<td>47,163,122,125<\/td>\n<td>0.6<\/td>\n<\/tr>\n<tr>\n<td>1200<\/td>\n<td>450,000,000<\/td>\n<td>60<\/td>\n<td>26,591,343,000<\/td>\n<td>73,754,465,125<\/td>\n<td>0.6<\/td>\n<\/tr>\n<tr>\n<td>1650<\/td>\n<td>500,000,000<\/td>\n<td>60<\/td>\n<td>12,782,002,453<\/td>\n<td>86,536,467,578<\/td>\n<td>0.6<\/td>\n<\/tr>\n<tr>\n<td>1750<\/td>\n<td>795,000,000<\/td>\n<td>50<\/td>\n<td>3,171,931,513<\/td>\n<td>89,708,399,091<\/td>\n<td>0.9<\/td>\n<\/tr>\n<tr>\n<td>1850<\/td>\n<td>1,265,000,000<\/td>\n<td>40<\/td>\n<td>4,046,240,009<\/td>\n<td>93,754,639,100<\/td>\n<td>1.3<\/td>\n<\/tr>\n<tr>\n<td>1900<\/td>\n<td>1,656,000,000<\/td>\n<td>40<\/td>\n<td>2,900,237,856<\/td>\n<td>96,654,876,956<\/td>\n<td>1.7<\/td>\n<\/tr>\n<tr>\n<td>1950<\/td>\n<td>2,516,000,000<\/td>\n<td>31-38<\/td>\n<td>3,390,198,215<\/td>\n<td>100,045,075,171<\/td>\n<td>2.5<\/td>\n<\/tr>\n<tr>\n<td>1995<\/td>\n<td>5,760,000,000<\/td>\n<td>31<\/td>\n<td>5,427,305,000<\/td>\n<td>105,472,380,171<\/td>\n<td>5.5<\/td>\n<\/tr>\n<tr>\n<td>2011<\/td>\n<td>6,987,000,000<\/td>\n<td>23<\/td>\n<td>2,130,327,622<\/td>\n<td>107,602,707,793<\/td>\n<td>6.5<\/td>\n<\/tr>\n<tr>\n<td><strong>2017<\/strong><\/td>\n<td><strong>7,536,000,000<\/strong><\/td>\n<td><strong>19<\/strong><\/td>\n<td><strong>867,982,322<\/strong><\/td>\n<td><strong>108,470,690,115<\/strong><\/td>\n<td><strong>6.9<\/strong><\/td>\n<\/tr>\n<tr>\n<td>2030<\/td>\n<td>8,563,000,000<\/td>\n<td>16<\/td>\n<td>1,806,595,106<\/td>\n<td>110,277,285,221<\/td>\n<td>7.8<\/td>\n<\/tr>\n<tr>\n<td>2050<\/td>\n<td>9,846,000,000<\/td>\n<td>15<\/td>\n<td>2,833,529,982<\/td>\n<td>113,110,815,203<\/td>\n<td>8.7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>( font : <a href=\"https:\/\/www.prb.org\/howmanypeoplehaveeverlivedonearth\/\">PRB<\/a> )<\/p>\n<p>Per simular quantes vides hi ha hagut, partir\u00e9 de la poblaci\u00f3 total d&#8217;un per\u00edode, \u00e9s a dir tots els naixements que hi ha hagut. Despr\u00e9s amb l&#8217;ajuda d&#8217;aquesta taula, veiem la poblaci\u00f3 mitjana i podem ajustar una taxa de naixement i morts.<br \/>\nAleshores, partir de la poblaci\u00f3 inicial puc tenir la poblaci\u00f3 actual a cada moment i els naixements acumulats.<\/p>\n<p><a href=\"https:\/\/worldpopulationhistory.org\/map\/939\/mercator\/1\/0\/25\/\">World Population<\/a>: cronologia amb la poblaci\u00f3 total, fites rellevants en la hist\u00f2ria de l&#8217;alimentaci\u00f3 o la salut i mapa din\u00e0mic que s&#8217;actualitza amb l&#8217;increment de poblaci\u00f3.<\/p>\n<hr \/>\n<p>F\u00d3RMULES<\/p>\n<p>Amb una taxa neta de creixement anual de r, tenim P(2)=P(1)*(1+r), P(n)=P(1)*(1+r)<sup>(t-1)<\/sup>. Surten uns valors baixos els primers segles i a partir del 1700 comencen a arribar als 5-12 per mil. Aix\u00f2 vol dir que fins aleshores la mortaldat gaireb\u00e9 igualava la natalitat. ( a la inversa, si tenim els valors de la poblaci\u00f3, la taxa de creixement \u00e9s: r=[P(t)\/P(0)]^(1\/t-1) &#8211; 1<\/p>\n<div data-pm-slice=\"1 1 []\" data-en-clipboard=\"true\">\n<div>\n<p>Els naixements acumulats serien: N(1)=P(1)n amb n la taxa de naixement, (que \u00e9s n=r+m, si tenim creixement i mortalitat) N(2)=P(2)n=(P1)*(1+r), N(t)=nP(t)=nP(1)*(1+r)<sup>(t-1).<\/sup>I la suma: N(1)+N(2)+&#8230;N(t)= nP(1)*(1+ (1+r) + (1+r)<sup>2<\/sup> + (1+r)<sup>3<\/sup> + &#8230; (1+r)<sup>(t-1)<\/sup>)\u00a0 [ S-1=(1+r) + (1+r)<sup>2<\/sup> + (1+r)<sup>3<\/sup> + &#8230; (1+r)<sup>(t-1) <\/sup>= (1+r)[S-(1+r)<sup>(t-1)<\/sup>\u00a0 ]\u00a0\u00a0 ,\u00a0\u00a0 (1+r)<sup>(t-1)<\/sup> &#8211; 1 = Sr, S =( (1+r)<sup>(t-1)<\/sup> &#8211; 1 )\/r ]<\/p>\n<p>cal posar r dividit per 1000, r&#8217;<\/p>\n<p>N(t)=nP(1) [ (1+r)<sup>(t-1)<\/sup> &#8211; 1 )\/r ] = (r+m)P(1)[(1+r)<sup>(t-1)<\/sup> &#8211; 1 )\/r]<\/p>\n<hr \/>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Classical_demography\">https:\/\/en.wikipedia.org\/wiki\/Classical_demography<\/a><\/p>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/List_of_states_by_population_in_1_CE\">https:\/\/en.wikipedia.org\/wiki\/List_of_states_by_population_in_1_CE<\/a><\/p>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Demographic_history\">https:\/\/en.wikipedia.org\/wiki\/Demographic_history<\/a><\/p>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Demographics_of_the_world\">https:\/\/en.wikipedia.org\/wiki\/Demographics_of_the_world<\/a><\/p>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/List_of_largest_cities_throughout_history\">https:\/\/en.wikipedia.org\/wiki\/List_of_largest_cities_throughout_history<\/a><\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Year Population Births per 1,000 Births Between Benchmarks Number Ever Born Percent of Those Ever Born 50,000 B.C.E. 2 \u2013 \u2013 \u2013 \u2013 8000 B.C.E. 5,000,000 80 1,137,789,769 1,137,789,769 0.4 1 C.E. 300,000,000 80 46,025,332,354 47,163,122,125 0.6 1200 450,000,000 60 26,591,343,000 73,754,465,125 0.6 1650 500,000,000 60 12,782,002,453 86,536,467,578 0.6 1750 795,000,000 50 3,171,931,513 89,708,399,091 0.9 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/meumon.synology.me\/museu\/demografia-i-inventari\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Demografia i inventari&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[133],"tags":[253,263],"anotacio":[],"civilitzacio":[],"spec":[],"aspecies":[],"Tema poesia":[],"_links":{"self":[{"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/posts\/1673"}],"collection":[{"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/comments?post=1673"}],"version-history":[{"count":0,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/posts\/1673\/revisions"}],"wp:attachment":[{"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/media?parent=1673"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/categories?post=1673"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/tags?post=1673"},{"taxonomy":"anotacio","embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/anotacio?post=1673"},{"taxonomy":"civilitzacio","embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/civilitzacio?post=1673"},{"taxonomy":"spec","embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/spec?post=1673"},{"taxonomy":"aspecies","embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/aspecies?post=1673"},{"taxonomy":"Tema poesia","embeddable":true,"href":"http:\/\/meumon.synology.me\/museu\/wp-json\/wp\/v2\/Tema poesia?post=1673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}