{"id":786,"date":"2020-10-30T10:09:19","date_gmt":"2020-10-30T09:09:19","guid":{"rendered":"https:\/\/marieleapouliquen.com\/?p=786"},"modified":"2025-10-27T10:33:14","modified_gmt":"2025-10-27T09:33:14","slug":"modele-2-emissions-de-co2-et-rechauffement","status":"publish","type":"post","link":"https:\/\/marieleapouliquen.com\/?p=786","title":{"rendered":"Mod\u00e8le 2 : Emissions de CO2 et r\u00e9chauffement"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"786\" class=\"elementor elementor-786\">\n\t\t\t\t<div class=\"elementor-element elementor-element-baeb39e e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"baeb39e\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-af4dc38 elementor-widget elementor-widget-html\" data-id=\"af4dc38\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<!-- ======= PAGE : PROJECTION CLIMAT 2100 (clair & lisible) ======= -->\n<style>\n  :root{\n    --wrap: 1100px; --gap: 22px;\n    \/* Palette claire \u00e0 contraste renforc\u00e9 *\/\n    --bg:#ffffff; --ink:#111827; --muted:#374151;\n    --card:#c0f0e0; --line:#c0f0e0; --accent:#0ea5e9; --accent-ink:#fff;\n  }\n  \/* On garde un th\u00e8me clair m\u00eame si le navigateur est en sombre *\/\n  @media (prefers-color-scheme: dark){\n    :root{\n      --bg:#ffffff; --ink:#053e2b; --muted:#374151;\n      --card:#053e2b; --line:#c0f0e0; --accent:#053e2b; --accent-ink:#fff;\n    }\n  }\n\n  body{background:var(--bg); color:var(--ink); font-size: 15px; line-height:1.6;}\n  .wrap{max-width:var(--wrap); margin:0 auto; padding:clamp(12px,2vw,24px);}\n  .hero{\n    background:#fff; border:1px solid var(--line); border-radius:16px;\n    padding:clamp(22px,3vw,36px); box-shadow:0 1px 2px rgba(0,0,0,.04);\n    margin-bottom:var(--gap);\n  }\n  .hero h1{margin:0 0 10px; font-size:clamp(30px,4vw,30px); color:var(--ink);}\n  .hero p{margin:0; color:var(--muted); font-size:clamp(16px,2.2vw,18px);}\n  .cta{display:flex; gap:12px; flex-wrap:wrap; margin-top:14px;}\n  .btn{display:inline-block; padding:10px 14px; border-radius:10px; text-decoration:none; font-weight:700; border:1px solid var(--line);}\n  .btn.primary{background:var(--accent); color:var(--accent-ink); border-color:transparent;}\n  .btn.ghost{color:var(--ink); background:#fff;}\n  section{margin: clamp(28px,4vw,48px) 0;}\n\n  .grid-3{display:grid; gap:var(--gap); grid-template-columns:2fr 1fr;}\n  @media(max-width:980px){ .grid-3{grid-template-columns:1fr;} }\n  .card{\n    background:#fff; border:1px solid var(--line); border-radius:12px; padding:18px;\n    box-shadow:0 1px 2px rgba(0,0,0,.04);\n  }\n  .card h2,.card h3{margin:0 0 10px; color:var(--ink);}\n  .muted{color:var(--muted);}\n  .sep{height:1px; background:var(--line); margin:18px 0;}\n  .list{list-style:none; padding:0; margin:0; display:grid; gap:10px;}\n  .list li{padding:10px 12px; border:1px solid var(--line); border-radius:10px; background:#fff;}\n\n  .module{\n    background:#fff; border:1px solid var(--line); border-radius:14px; padding:clamp(14px,2vw,20px);\n    box-shadow:0 1px 3px rgba(0,0,0,.05);\n  }\n  .module h2{margin:0 0 6px; color:var(--ink);}\n  .caption{font-size:15px; color:var(--muted); margin:6px 0 12px;}\n\n  \/* Grille responsive des 3 graphiques *\/\n  #row-plots{ display:grid; gap:14px; grid-template-columns:repeat(3,1fr); }\n  @media (max-width: 980px){ #row-plots{ grid-template-columns:repeat(2,1fr); } }\n  @media (max-width: 700px){ #row-plots{ grid-template-columns:1fr; } }\n\n  \/* Contr\u00f4les plus lisibles *\/\n  #sel-year{\n    padding:1px 12px; border:1px solid var(--line); border-radius:10px; min-width:190px;\n    font-weight:600; background:#fff; color:var(--ink);\n  }\n  label{color:var(--ink); font-weight:600;}\n<\/style>\n\n<div class=\"wrap\">\n\n  <!-- HERO -->\n  <div class=\"hero\">\n    <h1>Projection du climat jusqu\u2019en 2100<\/h1>\n    <p>Explorez l\u2019impact du calendrier de <strong>z\u00e9ro \u00e9missions nettes<\/strong> sur le CO\u2082 atmosph\u00e9rique, le <strong>for\u00e7age radiatif<\/strong> et la <strong>temp\u00e9rature moyenne<\/strong> avec ce simulateur.<\/p>\n    <div class=\"cta\">\n      <a href=\"#simulateur\" class=\"btn primary\">Lancer le simulateur<\/a>\n      <a href=\"#explications\" class=\"btn ghost\">Comprendre le mod\u00e8le<\/a>\n    <\/div>\n  <\/div>\n\n  <!-- MODULE INTERACTIF -->\n  <section id=\"simulateur\">\n    <div class=\"module\">\n      <h2> Simulateur interactif<\/h2>\n      <p class=\"caption\">Choisissez l\u2019ann\u00e9e de <em>z\u00e9ro \u00e9missions nettes<\/em> et comparez au sc\u00e9nario \u201cBusiness-as-usual\u201d.<\/p>\n\n      <div id=\"proj2100-wrap\" style=\"max-width:100%;margin:0;padding:0;\">\n        <div style=\"display:flex;gap:12px;align-items:center;flex-wrap:wrap;margin-bottom:8px;\">\n          <label for=\"sel-year\">Z\u00e9ro \u00e9missions nettes en :<\/label>\n          <select id=\"sel-year\">\n            <option>2020<\/option><option>2030<\/option><option>2040<\/option><option>2050<\/option>\n            <option>2060<\/option><option>2070<\/option><option>2080<\/option><option>2090<\/option>\n          <\/select>\n        <\/div>\n\n        <div id=\"row-plots\">\n          <div id=\"plot-co2\"><\/div>\n          <div id=\"plot-rf\"><\/div>\n          <div id=\"plot-temp\"><\/div>\n        <\/div>\n\n        <div style=\"font-style:italic;margin-top:8px;color:#6b7280;\">\n          Les courbes rouges repr\u00e9sentent le sc\u00e9nario <b>Business-as-usual<\/b>. Les courbes pleines correspondent au sc\u00e9nario s\u00e9lectionn\u00e9.\n        <\/div>\n      <\/div>\n\n      <script src=\"https:\/\/cdn.plot.ly\/plotly-2.35.2.min.js\"><\/script>\n\n      <script>\n      (function(){\n        \/\/ ===== Param\u00e8tres physiques du mod\u00e8le =====\n        const timeStep=5, eqCO2=280, initCO2=290, CO2_exp=0.0225, CO2RampExp=0.01;\n        const aerosol_Wm2_now=-0.75, watts_m2_2x=4, climateSensitivity2x=3;\n        const climateSensitivityWm2=climateSensitivity2x\/watts_m2_2x, TResponseTime=20;\n\n        \/\/ Ann\u00e9es 1900\u21922100, pas 5 ans\n        const years=[]; for(let y=1900;y<=2100;y+=timeStep) years.push(y);\n\n        \/\/ BAU (Business-as-usual)\n        const bauCO2=[initCO2], inoCO2=[0], rfCO2=[0], rfMask=[0], rfTot=[0], Teq=[0], TTrans=[0];\n        for(let i=1;i<years.length;i++){\n          const next=eqCO2 + (bauCO2[i-1]-eqCO2)*(1+CO2_exp*timeStep);\n          bauCO2.push(next);\n          inoCO2.push((bauCO2[i]-bauCO2[i-1])\/timeStep);\n          rfCO2.push(watts_m2_2x*Math.log(bauCO2[i]\/eqCO2)\/Math.log(2));\n        }\n        function makeAerosolCoeff(idx){ const growth=(bauCO2[idx]-bauCO2[idx-1])\/timeStep; return aerosol_Wm2_now\/growth; }\n        (function(){\n          const idx2020=years.indexOf(2020), aerosolCoeff=makeAerosolCoeff(idx2020);\n          for(let i=1;i<years.length;i++){\n            rfMask.push(Math.max(inoCO2[i]*aerosolCoeff, aerosol_Wm2_now));\n            rfTot.push(rfCO2[i]+rfMask[i]);\n            Teq.push(rfTot[i]*climateSensitivityWm2);\n            TTrans.push(TTrans[i-1]+(Teq[i]-TTrans[i-1])*(timeStep\/TResponseTime));\n          }\n        })();\n\n        \/\/ Sc\u00e9nario \"Net-Zero\" \u00e0 une date donn\u00e9e\n        function scenarioRamp(yearForChange){\n          const iyrfc=years.indexOf(yearForChange);\n          const rampCO2=[], rfTotRamp=[], TTransRamp=[];\n          const rfCO2Ramp=[], rfMaskRamp=[], TeqRamp=[];\n          for(let i=0;i<=iyrfc;i++){\n            rampCO2.push(bauCO2[i]); rfTotRamp.push(rfTot[i]); TTransRamp.push(TTrans[i]);\n            rfCO2Ramp.push(rfCO2[i]); rfMaskRamp.push(rfMask[i]); TeqRamp.push(Teq[i]);\n          }\n          for(let i=iyrfc+1;i<years.length;i++){\n            const prev=rampCO2[i-1], next=prev+(eqCO2*1.2-prev)*(CO2RampExp*timeStep);\n            rampCO2.push(next);\n            const rfCO2i=watts_m2_2x*Math.log(next\/eqCO2)\/Math.log(2);\n            rfCO2Ramp.push(rfCO2i); rfMaskRamp.push(0);\n            const rfToti=rfCO2i; rfTotRamp.push(rfToti);\n            const Teqi=rfToti*climateSensitivityWm2; TeqRamp.push(Teqi);\n            TTransRamp.push(TTransRamp[i-1]+(Teqi-TTransRamp[i-1])*(timeStep\/TResponseTime));\n          }\n          return {rampCO2, rfTotRamp, TTransRamp};\n        }\n\n        \/\/ Pr\u00e9-calcul des sc\u00e9narios s\u00e9lectionnables\n        const YEARS_CUT=[2020,2030,2040,2050,2060,2070,2080,2090], RAMPS={};\n        YEARS_CUT.forEach(y=>RAMPS[y]=scenarioRamp(y));\n\n        \/\/ ===== Layout Plotly clair (lisible) =====\n\n          \/\/ Th\u00e8me clair + tailles r\u00e9duites\n          const baseLayout = {\n            paper_bgcolor: '#ffffff',\n            plot_bgcolor:  '#ffffff',\n            font: { family: 'system-ui, -apple-system, Segoe UI, Roboto, Helvetica, Arial, sans-serif', size: 14, color: '#111827' },\n            xaxis: {\n              color:'#111827',\n              gridcolor:'#e5e7eb',\n              zerolinecolor:'#e5e7eb',\n              tickfont: { size: 12 },              \/\/ <- taille des graduations X\n              title:   { text: 'Ann\u00e9e', font:{ size: 13 } } \/\/ <- titre axe X\n            },\n            yaxis: {\n              color:'#111827',\n              gridcolor:'#e5e7eb',\n              zerolinecolor:'#e5e7eb',\n              tickfont: { size: 12 },              \/\/ <- taille des graduations Y\n              title:   { text: '', font:{ size: 13 } } \/\/ sera \u00e9cras\u00e9 par layout()\n            }\n          };\n        \n          \/\/ Helper layout pour chaque graphique\n          const layout = (titleText, yLabel, yRange=null) => ({\n            ...baseLayout,\n            title: { text: titleText, font: { size: 14 } },  \/\/ <- taille du titre du graphique\n            margin:{ t: 42, r: 10, b: 42, l: 52 },\n            height: 300,\n            xaxis: { ...baseLayout.xaxis, range:[1900,2100] },\n            yaxis: { \n              ...baseLayout.yaxis,\n              title: { text: yLabel, font: { size: 13 } },   \/\/ <- titre axe Y\n              ...(yRange ? { range: yRange } : {})\n            },\n            showlegend: false\n          });\n\n\n        \/\/ ===== Trac\u00e9s initiaux (par d\u00e9faut Net-Zero 2020) =====\n        Plotly.newPlot('plot-co2',[\n          {x:years,y:bauCO2,mode:'lines',line:{width:3,dash:'dash',color:'firebrick'}},\n          {x:years,y:RAMPS[2020].rampCO2,mode:'lines',line:{width:4,color:'darkslategray'}}\n        ],layout('Teneur atmosph\u00e9rique en CO\u2082','CO\u2082 [ppm]',[250,1000]),{displayModeBar:false,responsive:true});\n\n        Plotly.newPlot('plot-rf',[\n          {x:years,y:rfTot,mode:'lines',line:{width:3,dash:'dash',color:'firebrick'}},\n          {x:years,y:RAMPS[2020].rfTotRamp,mode:'lines',line:{width:4,color:'seagreen'}}\n        ],layout('For\u00e7age radiatif total','W\/m\u00b2',[0,8]),{displayModeBar:false,responsive:true});\n\n        Plotly.newPlot('plot-temp',[\n          {x:years,y:TTrans,mode:'lines',line:{width:3,dash:'dash',color:'firebrick'}},\n          {x:years,y:RAMPS[2020].TTransRamp,mode:'lines',line:{width:4,color:'goldenrod'}}\n        ],layout('R\u00e9chauffement global','Temp\u00e9rature [\u00b0C]',[0,4]),{displayModeBar:false,responsive:true});\n\n        \/\/ S\u00e9lecteur d'ann\u00e9e\n        document.getElementById('sel-year').addEventListener('change', e=>{\n          const y=parseInt(e.target.value,10), R=RAMPS[y];\n          Plotly.restyle('plot-co2',{y:[R.rampCO2]},[1]);\n          Plotly.restyle('plot-rf',{y:[R.rfTotRamp]},[1]);\n          Plotly.restyle('plot-temp',{y:[R.TTransRamp]},[1]);\n        });\n\n        \/\/ Resize r\u00e9actif\n        window.addEventListener('resize',()=>['plot-co2','plot-rf','plot-temp'].forEach(id=>{\n          const el=document.getElementById(id); if(el) Plotly.Plots.resize(el);\n        }));\n      })();\n      <\/script>\n    <\/div>\n  <\/section>\n\n  <!-- EXPLICATIONS + ASIDE -->\n  <section id=\"explications\">\n    <div class=\"grid-3\">\n      <div class=\"card\">\n        <h2>Comment fonctionne le mod\u00e8le&nbsp;?<\/h2>\n\n        <h3>Le principe<\/h3>\n        <p class=\"muted\">Le mod\u00e8le suit de 1900 \u00e0 2100 l\u2019\u00e9volution du <strong>CO\u2082<\/strong>, du <strong>for\u00e7age radiatif<\/strong> (\u00e9nergie pi\u00e9g\u00e9e) et de la <strong>temp\u00e9rature moyenne<\/strong>, avec un pas de temps de 5 ans. Deux trajectoires&nbsp;: <em>Business-as-usual<\/em> (croissance continue des \u00e9missions) et <em>Z\u00e9ro \u00e9missions nettes<\/em> \u00e0 une date choisie.<\/p>\n\n        <div class=\"sep\"><\/div>\n\n        <h3>Les \u00e9quations (simplifi\u00e9es)<\/h3>\n        <ul class=\"list\">\n          <li><b>CO\u2082 (Business-as-usual)<\/b> : croissance proportionnelle, \u00e0 partir d\u2019un \u00e9tat d\u2019\u00e9quilibre pr\u00e9industriel (280 ppm).<\/li>\n          <li><b>For\u00e7age CO\u2082<\/b> : \\(F = 4 \\cdot \\ln(CO\u2082\/280)\/\\ln 2\\) \u2192 +4 W\/m\u00b2 pour un doublement du CO\u2082.<\/li>\n          <li><b>Effet \u201cmasque\u201d<\/b> : les a\u00e9rosols refroidissent \u2248 \u20130,75 W\/m\u00b2 et disparaissent vite apr\u00e8s l\u2019arr\u00eat des \u00e9missions.<\/li>\n          <li><b>T\u00b0 d\u2019\u00e9quilibre<\/b> : \\(T_{eq} = F_{total} \\times 0{,}75\\) \u00b0C\/(W\/m\u00b2) (\u2248 3 \u00b0C pour +4 W\/m\u00b2).<\/li>\n          <li><b>T\u00b0 transitoire<\/b> : r\u00e9ponse lente \\(\\tau \\approx 20\\) ans (inertie oc\u00e9anique) : \\(T_{t+1}=T_t+(T_{eq}-T_t)\\,\\Delta t\/\\tau\\).<\/li>\n        <\/ul>\n\n        <div class=\"sep\"><\/div>\n\n        <h3>\u00c0 retenir<\/h3>\n        <ul class=\"list\">\n          <li><b>Chaque d\u00e9cennie compte<\/b> : 2030 \u2260 2070 pour la trajectoire du climat.<\/li>\n          <li><b>Le CO\u2082 agit longtemps<\/b> : l\u2019atmosph\u00e8re et les oc\u00e9ans mettent des d\u00e9cennies \u00e0 s\u2019ajuster.<\/li>\n          <li><b>Mod\u00e8le p\u00e9dagogique<\/b> : il montre les ordres de grandeur, sans pr\u00e9tendre \u00e0 la pr\u00e9cision r\u00e9gionale.<\/li>\n        <\/ul>\n      <\/div>\n\n      <aside class=\"card\">\n        <h3>Hypoth\u00e8ses & limites<\/h3>\n        <ul class=\"list\">\n          <li>CO\u2082 trait\u00e9 comme gaz dominant (CH\u2084\/N\u2082O non explicit\u00e9s).<\/li>\n          <li>Sensibilit\u00e9 climatique moyenne (3 \u00b0C pour \u00d72 CO\u2082).<\/li>\n          <li>A\u00e9rosols agr\u00e9g\u00e9s (effet masque simplifi\u00e9).<\/li>\n          <li>Pas de r\u00e9troactions complexes (glace\/alb\u00e9do, circulation oc\u00e9anique profonde, nuages).<\/li>\n        <\/ul>\n        <div class=\"sep\"><\/div>\n        <h3>Conseils de lecture<\/h3>\n        <ul class=\"list\">\n          <li>Comparez la pente Business-as-usual vs Net-Zero.<\/li>\n          <li>Regardez le d\u00e9lai entre Net-Zero et stabilisation de T\u00b0.<\/li>\n          <li>Testez plusieurs dates et notez l\u2019amplitude finale.<\/li>\n        <\/ul>\n      <\/aside>\n    <\/div>\n  <\/section>\n\n<\/div>\n\n<!-- MathJax pour afficher \\( ... \\) -->\n<script>\n  window.MathJax = { tex: { inlineMath: [['\\\\(','\\\\)'], ['$', '$']] }, svg: { fontCache: 'global' } };\n<\/script>\n<script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-svg.js\"><\/script>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Projection du climat jusqu\u2019en 2100 Explorez l\u2019impact du calendrier de z\u00e9ro \u00e9missions nettes sur le CO\u2082 atmosph\u00e9rique, le for\u00e7age radiatif et la temp\u00e9rature moyenne avec ce simulateur. Lancer le simulateur Comprendre le mod\u00e8le Simulateur interactif Choisissez l\u2019ann\u00e9e de z\u00e9ro \u00e9missions nettes et comparez au sc\u00e9nario \u201cBusiness-as-usual\u201d. Z\u00e9ro \u00e9missions nettes en : 20202030204020502060207020802090 Les courbes rouges repr\u00e9sentent le sc\u00e9nario Business-as-usual. Les courbes pleines correspondent au sc\u00e9nario s\u00e9lectionn\u00e9. Comment fonctionne le mod\u00e8le&nbsp;? Le principe Le mod\u00e8le suit de 1900 \u00e0 2100 l\u2019\u00e9volution du CO\u2082, du for\u00e7age radiatif (\u00e9nergie pi\u00e9g\u00e9e) et de la temp\u00e9rature moyenne, avec un pas de temps de 5 ans. Deux trajectoires&nbsp;: Business-as-usual (croissance continue des \u00e9missions) et Z\u00e9ro \u00e9missions nettes \u00e0 une date choisie. Les \u00e9quations (simplifi\u00e9es) CO\u2082 (Business-as-usual) : croissance proportionnelle, \u00e0 partir d\u2019un \u00e9tat d\u2019\u00e9quilibre pr\u00e9industriel (280 ppm). For\u00e7age CO\u2082 : (F = 4 cdot ln(CO\u2082\/280)\/ln 2) \u2192 +4 W\/m\u00b2 pour un doublement du CO\u2082. Effet \u201cmasque\u201d : les a\u00e9rosols refroidissent \u2248 \u20130,75 W\/m\u00b2 et disparaissent vite apr\u00e8s l\u2019arr\u00eat des \u00e9missions. T\u00b0 d\u2019\u00e9quilibre : (T_{eq} = F_{total} times 0{,}75) \u00b0C\/(W\/m\u00b2) (\u2248 3 \u00b0C pour +4 W\/m\u00b2). T\u00b0 transitoire : r\u00e9ponse lente (tau approx 20) ans (inertie oc\u00e9anique) : (T_{t+1}=T_t+(T_{eq}-T_t),Delta t\/tau). \u00c0 retenir Chaque d\u00e9cennie compte : 2030 \u2260 2070 pour la trajectoire du climat. Le CO\u2082 agit longtemps : l\u2019atmosph\u00e8re et les oc\u00e9ans mettent des d\u00e9cennies \u00e0 s\u2019ajuster. Mod\u00e8le p\u00e9dagogique : il montre les ordres de grandeur, sans pr\u00e9tendre \u00e0 la pr\u00e9cision r\u00e9gionale. Hypoth\u00e8ses &#038; limites CO\u2082 trait\u00e9 comme gaz dominant (CH\u2084\/N\u2082O non explicit\u00e9s). Sensibilit\u00e9 climatique moyenne (3 \u00b0C pour \u00d72 CO\u2082). A\u00e9rosols agr\u00e9g\u00e9s (effet masque simplifi\u00e9). Pas de r\u00e9troactions complexes (glace\/alb\u00e9do, circulation oc\u00e9anique profonde, nuages). Conseils de lecture Comparez la pente Business-as-usual vs Net-Zero. Regardez le d\u00e9lai entre Net-Zero et stabilisation de T\u00b0. Testez plusieurs dates et notez l\u2019amplitude 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