diff --git a/module3/exo3/exercice_co2_sujet1.ipynb b/module3/exo3/exercice_co2_sujet1.ipynb index e7b4f9194f1fdcf55ade79b41e82957f80c2820b..f1e2bc1a867ce49c7655058cf8a6839e7e574a9d 100644 --- a/module3/exo3/exercice_co2_sujet1.ipynb +++ b/module3/exo3/exercice_co2_sujet1.ipynb @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -34,7 +34,8 @@ "\n", "import pandas as pd\n", "import numpy as np\n", - "import matplotlib.pyplot as plt" + "import matplotlib.pyplot as plt\n", + "import statsmodels.api as sm\n" ] }, { @@ -243,12 +244,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -264,23 +265,139 @@ "fig.suptitle(\"Evolution de la concentration du CO2 à Mauna Loa (Hawaii)\")\n", "\n", "co2_df['co2'].plot(ax=axs[0])\n", - "axs[0].set_title(\"Jeu complet\", loc='left')\n", + "axs[0].set_title(\"Jeu complet\", loc='left', color='C0')\n", "axs[0].set_ylabel(\"ppm\")\n", "axs[0].grid()\n", "\n", "co2_df['co2'][-250:].plot(ax=axs[1])\n", - "axs[1].set_title(\"Zoom\", loc='right')\n", - "axs[1].set_ylabel(\"ppm\")\n", + "axs[1].set_title(\"Zoom\", loc='right', color='C0')\n", "axs[1].grid()\n", "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Eléments de réponse à la Question 1.\n", + "- Le panneau de droite montre une oscillation périodique claire superposée à une évolution systématique plus lente. Le panneau de gauche confirme la tendance à l'augmentation et montre qu'elle s'accélère.\n", + "- L'oscillation semble **annuelle avec un pic au printemps** et un creux à l'automne. Le pic semble correspondre à la fin de l'hiver de l'hémisphère nord. La végétation est alors au plus bas. Avec le printemps, elle croît et absorbe progressivement le $CO_2$ atmosphérique, qui diminue donc dans l'atmosphère. A l'automne, la végétation commence à dépérir et la majorité du $CO_2$ retourne dans l'atmosphère. \n", + "\n", + "## Modélisation des signaux observés\n", + "\n", + "- Un modèle simple des deux phénomènes compotera une oscillation annuelle et une tendance linéaire avec une composante d'accélération. Voici le modèle mathématique :\n", + "\n", + "$$\n", + "y(t) = \\underbrace{a + b\\,t + c\\,t^2}_{\\text{tendance}} + \\underbrace{A \\cos\\left(2\\pi t - \\varphi\\right)}_{\\text{oscillation annuelle}} + \\varepsilon(t)\n", + "$$\n", + "\n", + "où :\n", + "- $t$ : temps, exprimé en années,\n", + "- $a$ : ordonnée à l'origine (niveau de base du CO$_2$),\n", + "- $b$ : pente de la tendance linéaire (taux d'augmentation moyen, en ppm/an),\n", + "- $c$ : coefficient d'accélération (courbure de la tendance, en ppm/an$^2$),\n", + "- $A$ : amplitude de l'oscillation saisonnière (en ppm),\n", + "- $\\varphi$ : phase de l'oscillation (décalage temporel du cycle annuel),\n", + "- $\\varepsilon(t)$ : terme résiduel (bruit, variabilité non expliquée par le modèle).\n", + "\n", + "Ce modèle permettra de séparer les deux phénomènes (oscillation et tendance) et un ajustement par moindres carrés de les caractériser (quantifier). Une fois les paramètres inconnus du modèle déterminés, on pourra tenter une extrapolation jusqu'à 2030.\n", + "\n", + "#### Ajustement par moindres carrés\n", + "- La version de la relation mathématique ci-dessus n'est pas directement exploitable par une méthode classique de moindres carrés (_Ordinary Least Squares_ ou OLS). Nous devons d'abord linéariser le terme d'oscillation annuelle $A \\cos(2\\pi t - \\varphi)$ qui est non linéaire en $\\varphi$. Pour ce faire, on utilise la relation trigonométrique :\n", + "\n", + "$$\n", + "\\cos(2\\pi t - \\varphi) = \\cos(2\\pi t)\\cos(\\varphi) + \\sin(2\\pi t)\\sin(\\varphi)\n", + "$$\n", + "\n", + "d'où :\n", + "\n", + "$$\n", + "A \\cos(2\\pi t - \\varphi) = \\underbrace{A\\cos(\\varphi)}_{\\alpha} \\cos(2\\pi t) + \\underbrace{A\\sin(\\varphi)}_{\\beta} \\sin(2\\pi t)\n", + "$$\n", + "\n", + "En posant $\\alpha = A\\cos(\\varphi)$ et $\\beta = A\\sin(\\varphi)$, le modèle devient **linéaire** par rapport aux nouvelles inconnues $\\alpha$ et $\\beta$ :\n", + "\n", + "$$\n", + "y(t) = a + b\\,t + c\\,t^2 + \\alpha \\cos(2\\pi t) + \\beta \\sin(2\\pi t) + \\varepsilon(t)\n", + "$$\n", + "\n", + "- Ce modèle linéaire peut désormais être ajusté par OLS, avec $\\cos(2\\pi t)$ et $\\sin(2\\pi t)$ traités comme deux variables explicatives supplémentaires. Une fois $\\alpha$ et $\\beta$ estimés, on retrouve les paramètres physiques d'origine par :\n", + "\n", + "$$\n", + "A = \\sqrt{\\alpha^2 + \\beta^2} \\qquad \\qquad \\varphi = \\arctan\\left(\\frac{\\beta}{\\alpha}\\right)\n", + "$$" + ] + }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "# Temps en années décimales, à partir de la première date du jeu de données\n", + "t = (co2_df.index - co2_df.index[0]).days / 365.25" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "X = pd.DataFrame({\n", + " 't': t,\n", + " 't2': t**2,\n", + " 'cos_annuel': np.cos(2 * np.pi * t),\n", + " 'sin_annuel': np.sin(2 * np.pi * t)\n", + "}, index=co2_df.index)\n", + "\n", + "X = sm.add_constant(X) # ajoute la colonne pour l'ordonnée à l'origine (a)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "y = co2_df['co2']\n", + "\n", + "modele = sm.OLS(y, X, missing='drop') # 'drop' pour ignorer d'éventuelles lignes avec NaN\n", + "resultat = modele.fit()\n", + "\n", + "print(resultat.summary())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "alpha = resultat.params['cos_annuel']\n", + "beta = resultat.params['sin_annuel']\n", + "\n", + "A = np.sqrt(alpha**2 + beta**2)\n", + "phi = np.arctan2(beta, alpha)\n", + "\n", + "print(f\"Amplitude annuelle A = {A:.3f} ppm\")\n", + "print(f\"Phase φ = {phi:.3f} rad\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 4))\n", + "ax.plot(co2_df.index, y, label=\"Observations\", alpha=0.5)\n", + "ax.plot(co2_df.index, resultat.fittedvalues, label=\"Modèle ajusté\", color='red')\n", + "ax.set_ylabel(\"ppm\")\n", + "ax.legend()\n", + "ax.grid()\n", + "plt.show()" + ] } ], "metadata": {