diff --git a/module3/exo3/exercice_fr.ipynb b/module3/exo3/exercice_fr.ipynb index 0bbbe371b01e359e381e43239412d77bf53fb1fb..64bdaa037a1f9f9b9246d7bc13a7b1d135538fcf 100644 --- a/module3/exo3/exercice_fr.ipynb +++ b/module3/exo3/exercice_fr.ipynb @@ -1,5 +1,469 @@ { - "cells": [], + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Sujet 1 : Concentration de CO2 dans l'atmosphère depuis 1958" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "En 1958, Charles David Keeling a initié une mesure de la concentration de CO2 dans l'atmosphère à l'observatoire de Mauna Loa, Hawaii, États-Unis qui continue jusqu'à aujourd'hui. L'objectif initial était d'étudier la variation saisonnière, mais l'intérêt s'est déplacé plus tard vers l'étude de la tendance croissante dans le contexte du changement climatique. En honneur à Keeling, ce jeu de données est souvent appelé \"Keeling Curve\" (voir https://en.wikipedia.org/wiki/Keeling_Curve pour l'histoire et l'importance de ces données).\n", + "Les données sont disponibles sur le site Web de l'institut Scripps. Utilisez le fichier avec les observations hebdomadaires. Attention, ce fichier est mis à jour régulièrement avec de nouvelles observations. Notez donc bien la date du téléchargement, et gardez une copie locale de la version précise que vous analysez. Faites aussi attention aux données manquantes.\n", + "\n", + "Votre mission si vous l'acceptez :\n", + "1. Réalisez un graphique qui vous montrera une oscillation périodique superposée à une évolution systématique plus lente.\n", + "2. Séparez ces deux phénomènes. Caractérisez l'oscillation périodique. Proposez un modèle simple de la contribution lente, estimez ses paramètres et tentez une extrapolation jusqu'à 2025 (dans le but de pouvoir valider le modèle par des observations futures).\n", + "3. Déposer dans FUN votre résultat\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + " # Importing the necessary libraries\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les données sont disponibles sur le site Web de l'institut Scripps :" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# Downloading and loading data\n", + "# date : 17/04/2024\n", + "data_url = \"https://scrippsco2.ucsd.edu/assets/data/atmospheric/stations/in_situ_co2/weekly/weekly_in_situ_co2_mlo.csv\"" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Date Concentration\n", + "0 1958-03-29 316.19\n", + "1 1958-04-05 317.31\n", + "2 1958-04-12 317.69\n", + "3 1958-04-19 317.58\n", + "4 1958-04-26 316.48\n" + ] + } + ], + "source": [ + "# Load data into a pandas table\n", + "data = pd.read_csv(data_url, skiprows=44, sep=r'\\s+', engine='python', parse_dates=[0], names = ['Date', 'Concentration'])\n", + "# Displaying the first rows of data for verification\n", + "print(data.head())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On enleve toutes les données manquantes :" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# All rows containing at least one null value (NaN) in a column are deleted\n", + "data = data.dropna()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour repondre à la première question, on trace le graphique de l'évolution du taux de CO2 en fonction du temps :" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15, 6))\n", + "plt.plot(data['Date'], data['Concentration'], label='CO2 Concentration')\n", + "plt.title('Evolution du taux de CO2 en fonction du temps ')\n", + "plt.xlabel('Année')\n", + "plt.ylabel('Concentration de CO2')\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut voir sur ce graphique comme prévu une oscillation périodique superposée à une évolution systématique plus lente. Pour mieux voir les oscillations, on peut zoomer sur le graphique en ne gardant que certains points, ici les 100 premiers :" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15, 6))\n", + "plt.plot(data['Date'][:100], data['Concentration'][:100], label='CO2 Concentration')\n", + "plt.title('Evolution du taux de CO2 en fonction du temps ')\n", + "plt.xlabel('Année')\n", + "plt.ylabel('Concentration de CO2')\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut directement essayer de caracteriser l'évolution systématique lente en utilisant une regression linéaire :" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Pente: 0.03176600340625831\n", + "Intercept: 305.80004219578547\n", + "Concentration de CO2 prédite en 2025: 416.47279806318943\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "from sklearn.linear_model import LinearRegression\n", + "\n", + "x = np.arange(len(data)).reshape(-1,1)\n", + "y = np.array(data['Concentration'])\n", + "\n", + "# Create a linear regression model\n", + "model = LinearRegression()\n", + "\n", + "# Fit the model to the data\n", + "model.fit(x, y)\n", + "\n", + "# Get the coefficients (slope and intercept)\n", + "slope = model.coef_[0]\n", + "intercept = model.intercept_\n", + "\n", + "print(\"Pente:\", slope)\n", + "print(\"Intercept:\", intercept)\n", + "\n", + "# Predicting CO2 concentration in 2025\n", + "weeks_in_2025 = (2025 - data['Date'].dt.year.min()) * 52\n", + "predicted_CO2_2025 = model.predict([[weeks_in_2025]])\n", + "\n", + "print(\"Concentration de CO2 prédite en 2025:\", predicted_CO2_2025[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Puis, le plus simple pour separer ces oscillations et l'évolution systematique est de passer pas une comparaison des emissions moyennes de CO2 par an. Pour celui il nous faut calculer les moyennes d'émission de CO2 par année :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Date Concentration Year\n", + "0 1958-03-29 316.19 1958\n", + "1 1958-04-05 317.31 1958\n", + "2 1958-04-12 317.69 1958\n", + "3 1958-04-19 317.58 1958\n", + "4 1958-04-26 316.48 1958\n" + ] + } + ], + "source": [ + "nrow = len (data)\n", + "years = []\n", + "for row in range(nrow):\n", + " year = str(data['Date'][row])[:4]\n", + " years.append(int(year))\n", + "data['Year'] = years\n", + "print(data.head())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Maintenant qu'on a ajouté aux données l'année, on peut calculer la moyenne de la concentration de CO2 par an et l'ajouter aux données :" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Date Concentration Year Mean_Concentration\n", + "0 1958-03-29 316.19 1958 315.474\n", + "1 1958-04-05 317.31 1958 315.474\n", + "2 1958-04-12 317.69 1958 315.474\n", + "3 1958-04-19 317.58 1958 315.474\n", + "4 1958-04-26 316.48 1958 315.474\n" + ] + } + ], + "source": [ + "# Calculate mean concentration by year\n", + "data['Mean_Concentration'] = data.groupby('Year')['Concentration'].transform('mean')\n", + "print(data.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Year\n", + "1958 315.474000\n", + "1959 315.945417\n", + "1960 316.898868\n", + "1961 317.634038\n", + "1962 318.597708\n", + "Name: Concentration, dtype: float64\n" + ] + } + ], + "source": [ + "mean_concentration_by_year = data.groupby('Year')['Concentration'].mean()\n", + "print(mean_concentration_by_year.head())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut maintenant faire un graphique pour montrer l'évolution du taux de CO2 en fonction du temps :" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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3GMve0e5Y3rlyiE+8Zvq2qZ6LgCOO3MjaDZtY1GBT917SsmmfmXleZs7KzDkUjVyuKxO/k4G3A6dk5q/q3nIlcHpEPDkiDgAOAm5s1fgkSZIkdb+qWzecdfzgDmv8Fg4OcFaPJ37Qnn3+LgT2BK6NiJsjYilAZt4GXArcDnwVODszt7ZhfJIkSZK6RD9v3VBVK6d9bpOZK4AV5fMDR7nufOD8yRiTJEmSpO5Xv3XDkvmzWbZ6fd9s3VBVOyp/kiRJkjRh+nXrhqpM/iRJkiR1tX7duqEqkz9JkiRJXau2xu/CM47i3BMP3jYF1ARwRyZ/kiRJkjpKlQ6eazds2m6NX20N4NoNmyZlrN3E5E+SJElSR6nSwbOft26oalK6fUqSJElSs+zg2RpW/iRJkiR1HDt4TjyTP0mSJEkdxw6eE8/kT5IkSVJLVWngUjtnB8+JZ/InSZIkqaWqNHABO3i2ig1fJEmSJLVUfQOX4/ZJbrj+plEbuDTq1LlwcMB1fzvJyp8kSZKklqs1cLly6FEbuLSJyZ8kSZKklqs1cDllcKoNXNrE5E+SJElSS9U3cDntoF1t4NImJn+SJEmSWsoGLp3Bhi+SJEmSKlu6coi5s6Zvt3Zv1dBG1m7YtEPDFhu4dAYrf5IkSZIqq7p9g9rPyp8kSZKkyuq3b1gyfzbLVq8fdfsGtZ+VP0mSJEnjUtu+4aPXrXP7hi5g8idJkiRpXGrbN5yz+EC3b+gCJn+SJEmSKqvfvuHcEw92+4YuYPInSZIkqTK3b+g+NnyRJEmSVJnbN3QfK3+SJEmSWLpyaIcpm6uGNrJ05VCbRqSJZvInSZIkyX37+oDTPiVJkiS5b18fsPInSZIkCXDfvl5n8idJkiQJcN++XmfyJ0mSJMl9+/qAyZ8kSZLUo6p08HTfvt5n8idJkiT1qCodPM86fnCHNX4LBwca7uen7mS3T0mSJKlH2cFT9az8SZIkST3MDp6qMfmTJEmSepgdPFVj8idJkiT1KDt4qp7JnyRJktQlqnTvBDt4ansmf5IkSVKXqNK9E+zgqe3Z7VOSJEnqEnbv1M6w8idJkiR1Ebt3arxM/iRJkqQuYvdOjZfJnyRJktQl7N6pnWHyJ0mSJHUJu3dqZ9jwRZIkSeoSjbp0LhwccN2fmmLlT5IkSZL6gMmfJEmS1EZVN26XxsvkT5IkSWqjqhu3S+PV8uQvIqZExE0R8ZXy9dMj4tqIuLv8+rS6a8+LiHURcVdEnNTqsUmSJEntVr9x+wXX3LWtm6fr+DTRJqPy92bgjrrX7wC+kZkHAd8oXxMRhwKnA4cBJwMfj4gpkzA+SZIkqa3cuF2ToaXJX0TMAl4CfKru8KnAxeXzi4GX1R1fnplbMvMeYB1wbCvHJ0mSJHUCN27XZIjMbN3NI74EvA/YE3hrZr40Ih7OzL3qrvlZZj4tIi4Evp2Zy8rjnwauzswvDbvnmcCZADNnzjxm+fLlLRt/J9q8eTN77LFHu4ehCWI8e4ex7B3GsrcYz97Ry7G848GtfPzm3/CGI6dxyIwpO7zuNb0cy3Y44YQT1mTmvGaubdk+fxHxUuCBzFwTEYuaeUuDYztkppl5EXARwLx583LRomZu3TtWrFhBv33mXmY8e4ex7B3GsrcYz97RTbFcunKIubOmbzd1c9XQRtZu2NRwn747Vw7xidc8cf0i4Igji+sXNbi+23VTLHtNK6d9Ph84JSLuBZYDiyNiGfCTiNgXoPz6QHn9BmD/uvfPAu5v4fgkSZKkCVe1e+dZxw/usMZv4eBAw0RR2hktS/4y87zMnJWZcygauVyXmUuAK4FXl5e9GviP8vmVwOkR8eSIOAA4CLixVeOTJEmSWsHunepULZv2OYr3A5dGxJ8C64FXAmTmbRFxKXA78BhwdmZubcP4JEmSpJ1S373znMUHmvipI0xK8peZK4AV5fMHgReMcN35wPmTMSZJkiSpVYZ371wwOMMEUG03Gfv8SZIkSX2jtsbvwjOO4twTD942BdTtG9RuJn+SJEnSKJauHNohcVs1tJGlK4caXr92w6bt1vjV1gCu3bCp5WOVRmPyJ0mSJI3C7p3qFe1o+CJJkiR1jfrunUvmz2bZ6vV271RXsvInSZIkjaG+e+eS+bNN/NSVTP4kSZKkMQzv3mnzFnUjkz9JkiRpFHbvVK8w+ZMkSZJGYfdO9QobvkiSJKnvLF05xNxZ07dbu7dqaCNrN2zaoStnoy6dCwcHXPenrmPlT5IkSX2n6vYNUi+w8idJkqS+4/YN6kdW/iRJktSX3L5B/cbkT5IkSX3J7RvUb0z+JEmS1HfcvkH9yORPkiRJXW/pyqEdErdVQxtZunKo4fVu36B+ZPInSZKkrle1e+dZxw/usMZv4eBAw20dpF5ht09JkiR1Pbt3SmOz8idJkqSeYPdOaXQmf5IkSeoJdu+URmfyJ0mSpI5UpYmL3TulsZn8SZIkqSNVaeJi905pbDZ8kSRJUkeqb+Jy3D7JDdffNGITl0ZdOhcODrjuT6pj5U+SJEkdq9bE5cqhR23iIu0kkz9JkiR1rFoTl1MGp9rERdpJJn+SJEnqSPVNXE47aFebuEg7yeRPkiRJHckmLtLEsuGLJEmSJsXSlUPMnTV9u3V7q4Y2snbDpoYNW2ziIk0sK3+SJEmaFFW2bpA08az8SZIkaVLUb92wZP5slq1eP+LWDZImnpU/SZIkTZra1g0fvW6dWzdIk8zkT5IkSZOmtnXDOYsPdOsGaZKZ/EmSJGnclq4c2iGBWzW0kaUrh3a4tn7rhnNPPNitG6RJZvInSZKkcavSxMWtG6T2suGLJEmSxq1KExe3bpDay8qfJEmSdopNXKTuYPInSZKknWITF6k7mPxJkiRpmyoNXGrnbOIidQeTP0mSJG1TpYEL2MRF6iY2fJEkSdI2VRq4gE1cpG5i5U+SJEnbsYGL1JtM/iRJkrQdG7hIvcnkT5IkqcdVaeJiAxepd5n8SZIk9bgqTVxs4CL1Lhu+SJIk9bgqTVxs4CL1Lit/kiRJfcAmLpKaqvxFxN7A64A59e/JzNe2ZliSJEmaSMObuCwYnGECKPWZZit//wFMB74O/GfdY0QRMS0iboyIWyLitoh4T3n8yIj4dkTcHBHfjYhj695zXkSsi4i7IuKk8X0kSZIk1bOJiyRofs3fUzLz7RXvvQVYnJmbI2IqcENEXA28F3hPZl4dES8G/hFYFBGHAqcDhwH7AV+PiOdk5taK31eSJKmnLV05xNxZ07er3K0a2sjaDZsartkbrYmL1T+pfzRb+ftKmag1LQuby5dTy0eWj6eWx6cD95fPTwWWZ+aWzLwHWAcciyRJkrZTpXsnFE1chid5CwcHGiaKknpXZObYF0X8AtgdeAR4tDycmfnUkd8FETEFWAMcCHwsM98eEYcAXwOCIvlcmJk/jIgLgW9n5rLyvZ8Grs7MLw2755nAmQAzZ848Zvny5U1/2F6wefNm9thjj3YPQxPEePYOY9k7jGVv6eV43vHgVj5+8284YfZU/mv9o7zhyGkcMmNKu4fVMr0cy35jLCfWCSecsCYz5zVzbVPTPjNzz/EMpJyyeWRE7AVcERGHUyRuf5GZl0XEHwCfBl5IkQzucIsG97wIuAhg3rx5uWjRovEMrWutWLGCfvvMvcx49g5j2TuMZW/p5XguAn6951189Lp1nLP4QP78xIPbPaSW6uVY9htj2T5Nb/UQEadExD+Vj5dW+SaZ+TCwAjgZeDVweXnqizwxtXMDsH/d22bxxJRQSZIk1RnevdPmLZLG0lTyFxHvB94M3F4+3lweG+09e5cVPyJiN4rq3p0UCd3x5WWLgbvL51cCp0fEkyPiAOAg4MZqH0eSJKn32b1T0ng02+3zxcCRmfk4QERcDNwEvGOU9+wLXFyu+3sScGlmfiUiHgY+EhG7AL+hXL+XmbdFxKUUyeVjwNl2+pQkSf2iSgdPu3dKGo9mkz+AvYCHyueNW0nVycy1wFENjt8AHDPCe84Hzq8wJkmSpJ5Q6+BZS+rqq3vDNerSuXBwwMRP0qiaTf7eB9wUEf9F0Zjld4DzWjYqSZKkPlOr3r3xkptYMn82y1av3666J0k7q9lun1+IiBXAcymSv7dn5o9bOTBJkqR+s3BwgCXzZ2/r4GniJ2kijdrwJSJ+q/x6NMUavg3AfcB+5TFJkiRNEDt4SmqlsSp/51I0ZPlQg3NJ0a1TkiRJw1Rp4FI7V7/mb8HgjO1eS9LOGrXyl5lnlk9/NzNPqH9QdACVJElSA7UGLrXqXS25mzurcd+80Tp4StJEaLbhyypg+DTPRsckSZJE9QYudvCU1GqjJn8RsQ/wTGC3iDiKotkLwFOBp7R4bJIkSV3NBi6SOslYlb+TgNcAs4AL6o7/Anhni8YkSZLUE4Y3cFkwOMMEUFLbjJr8ZebFwMUR8fLMvGySxiRJktT1bOAiqdM0u8/fZRHxEuAwYFrd8fe2amCSJEndbLQGLiZ/ktqhqeQvIpZSrPE7AfgU8ArgxhaOS5IkqeNU2b7BBi6SOs2oWz3UWZiZfwz8LDPfAzwP2L91w5IkSeo8VbdvkKRO0uxWD78pv/4qIvYDHgQOaM2QJEmSOlPV7RskqZM0W/n7ckTsBXwQ+B5wL/CFVg1KkiSpU9Vv37Bk/mwTP0ldY8zkLyKeBHwjMx8uO34+C/itzPyblo9OkiSpwwzfvqE2BVSSOt2YyV9mPg58qO71lszc1NJRSZIkdaD67RvOPfHgbVNATQAldYNmp31eExEvj4ho6WgkSZIm0dKVQzskbquGNrJ05VDD60fbvkGSOl2zyd+5wBeBLRHx84j4RUT8vIXjkiRJarmq3TvPOn5whzV+CwcHGm7rIEmdptlN3vds9UAkSZImm907JfWTpip/EfGNZo5JkiR1G7t3SuoXoyZ/ETEtIp4ODETE0yLi6eVjDrDfZAxQkiSpiqrr+OzeKalfjFX5ez2wBvit8mvt8R/Ax1o7NEmSpOqqrOOze6ekfjLqmr/M/AjwkYh4U2b+yySNSZIkadzq1/Edt09yw/U3jbiOb7TunU7/lNRrmm348i8RsRCYU/+ezPy3Fo1LkiQJKKZxzp01fbtkbNXQRtZu2DRil836dXznLD5wxESu0fsXDg6Y+EnqSc02fPkc8E/AccBzy8e8Fo5LkiQJqL4dQ+2aZavXc8rgVNfxSVKpqcofRaJ3aGZmKwcjSZI0XNXtGOrX8T1y362cvvjwba+t6EnqZ81u8n4rsE8rByJJkjSSKtsxjLaOT5L6WbOVvwHg9oi4EdhSO5iZp7RkVJIkSXWGb8ewYHCG6/gkqaJmk793t3IQkiSpv1Rp4lI/jXPh4AALBmc4jVOSxqGpaZ+ZuRK4F5haPv8O8L0WjkuSJPWwKk1cnMYpSROjqcpfRLwOOBN4OjAIPBNYCrygdUOTJEm9qkoTF6dxStLEaLbhy9nA84GfA2Tm3cAzWjUoSZLU+6o0cZEk7bxmk78tmflI7UVE7AK47YMkSRq34U1c3ItPklqr2eRvZUS8E9gtIl4EfBH4cuuGJUmSell9E5dzTzx42xRQE0BJap1mk793AD8F/gd4PXAV8NetGpQkSeptNnGRpMnX7FYPuwGfycxPAkTElPLYr1o1MEmS1Lts4iJJk6/Zyt83KJK9mt2Ar0/8cCRJUjdaunJohymbq4Y2snTlUJtGJEkartnkb1pmbq69KJ8/pTVDkiRJ3abKvn2SpPZodtrnLyPi6Mz8HkBEHAP8unXDkiRJ3aTKvn2SpPZotvL3FuCLEXF9RFwP/DvwxtYNS5IktdN4pnG6b58kdbamkr/M/A7wW8CfA28ADsnMNa0cmCRJap/xTON03z5J6mzNTvsEeC4wp3zPURFBZv5bS0YlSZLaquo0zvp9+xYODrBgcMZ2ryVJ7ddU8hcRnwMGgZuBreXhBEz+JEnqUfXTOM9ZfOCoSdxo+/aZ/ElSZ2i28jcPODQzs5WDkSRJnWP4NM4FgzNGTOTct0+SOl+zDV9uBfZp5UAkSVJrVWniUj+N89wTD942BdR1fJLUvZpN/gaA2yPiaxFxZe0x2hsiYlpE3BgRt0TEbRHxnrpzb4qIu8rj/1h3/LxvNUXzAAAYuklEQVSIWFeeO2l8H0mSJDVSpYnLaNM4JUndqdlpn+8ex723AIszc3NETAVuiIirgd2AU4G5mbklIp4BEBGHAqcDhwH7AV+PiOdk5tYR7i9Jkiqo0sTFaZyS1Hua3ephJXAnsGf5uKM8Ntp7MjM3ly+nlo+k2C7i/Zm5pbzugfKaU4HlmbklM+8B1gHHVvw8kiRpFO7FJ0n9q6nkLyL+ALgReCXwB8DqiHhFE++bEhE3Aw8A12bmauA5wP+JiNURsTIinlte/kzgvrq3byiPSZKkCeJefJLUv6KZBp4RcQvwolqVLiL2Br6emUc09U0i9gKuAN4ELAeuA95MsXfgvwPPBi4EvpWZy8r3fBq4KjMvG3avM4EzAWbOnHnM8uXLmxlCz9i8eTN77LFHu4ehCWI8e4ex7B3dFMurfvAIB0yfwiEzpmw7dseDW7ln01Ze/Oxdd7j+jge38vGbf8MbjpzGITOm7PC6F3VTPDU6Y9k7jOXEOuGEE9Zk5rxmrm12zd+T6qZnAjxI881iyMyHI2IFcDJFRe/yctuIGyPicYqGMhuA/eveNgu4v8G9LgIuApg3b14uWrSo2WH0hBUrVtBvn7mXGc/eYSx7RzfFctf9ax05j2Dh4ACrhjbyyetv4sIzjm44nfPOlUN84jXTt51bBBxx5EbWbtjEogZr/HpBN8VTozOWvcNYtk+zyd9XI+JrwBfK1/8XuGq0N5TVwUfLxG834IXAB4DNwGJgRUQ8B9gV2AhcCVwSERdQNHw5iGKqqSRJaqBKAxewiYsk9btRk7+IOBCYmZl/FRGnAccBAXwL+PwY994XuDgiplBUCS/NzK9ExK7AZyLiVuAR4NVlFfC2iLgUuB14DDjbTp+SJI2uvoHLOYsPNJGTJI1orMrfh4F3AmTm5cDlABExrzz3eyO9MTPXAkc1OP4IsGSE95wPnN/MwCVJ0o4NXBYMzjABlCQ1NNa6vTllEredzPwuMKclI5IkqY8tXTm0QwfOVUMbWbpyaIdra5u0X3jGUZx74sHbpoDawVOS1MhYyd+0Uc7tNpEDkSRJMHfW9O0SuFqCN3fW9B2uXbth03Zr/GprANdu2DSpY5YkdYexpn1+JyJel5mfrD8YEX8KrGndsCRJ6g1LVw4xd9b07aZirhoqOmyO1ICl2SYuNnCRJFUxVuXvLcCfRMSKiPhQ+VgJ/BnFPn2SJGkUVSp5NfVNXJbMn20yJ0maEKMmf5n5k8xcCLwHuLd8vCczn5eZP2798CRJ6jxV1uXVV/IuuOaubWv0RkvohjdxcQ2fJGkiNLVRe2b+V2b+S/m4rtWDkiSpk1Wt5lWp5NnERZLUKk0lf5Ik6QlVq3lVKnk2cZEktcpYDV8kSVIDzW6uXl/JWzg4wILBGaMmizZxkSS1ipU/SVLfq7KGr/58M9U8K3mSpE5h8idJ6ntV1/BVWZd31vGDO1TtFg4ONKzwSZLUSk77lCT1vfo1fMftk9xw/ehr+Ear5jk9U5LUqaz8SZJ6UtWpnLU1fFcOPTpmR06reZKkbmTyJ0nqSeOZyrls9XpOGZzq3nqSpJ5k8idJ6klVtmOoX8N32kG7ureeJKknmfxJknpWs5ur25FTktQPTP4kSV2hldsxuIZPktQPTP4kSV2hldsxSJLUD9zqQZLUFerX8C2ZP5tlq9e7HYMkSRWY/EmSukb9Gr5zFh845nYMjd5v4idJ6ldO+5QkdY1m1/BJkqQdmfxJkrqCa/gkSdo5Jn+SpK7gdgySJO0c1/xJktpm6coh5s6avt06vFVDG1m7YdMOa/ZcwydJ0s6x8idJapuq2zdIkqTxs/InSWqbqts3SJKk8bPyJ0lqq/rtG5bMn23iJ0lSi5j8SZLayu0bJEmaHCZ/kqQJs3Tl0A7J26qhjSxdOdTwerdvkCRp8pj8SZImTNUGLm7fIEnS5LHhiyRpwlRt4OL2DZIkTR4rf5KkUVWdymkDF0mSOpPJnyRpVFWnctrARZKkzuS0T0nSqKpM5axv4LJwcIAFgzO2ey1JktrHyp8kaUzNTuW0gYskSZ3L5E+S+kzVNXy1881M5Tzr+MEdEsOFgwMNG7tIkqTJZfInSX1mPGv43ItPkqTu55o/SeozVbdjGG0qp+v4JEnqHiZ/ktSH6tfwnbP4wFGTOPfikySpNzjtU5J6QNV1fG7HIElS/zH5k6QeUGUdn2v4JEnqT077lKQeUGUdn2v4JEnqTyZ/ktQjml3H5xo+SZL6k9M+JalHuI5PkiSNxuRPkjrQeBq4uI5PkiSNxuRPkjpQ1Y3YR1vHJ0mSBK75k6SOVHUjdtfxSZKksbSs8hcR0yLixoi4JSJui4j3DDv/1ojIiBioO3ZeRKyLiLsi4qRWjU2S2qHqVM76Bi5L5s82kZMkSTulldM+twCLM/MI4Ejg5IhYABAR+wMvAtbXLo6IQ4HTgcOAk4GPR8SUFo5PkiZV1amcNnCRJEkTqWXJXxY2ly+nlo8sX/8z8La61wCnAsszc0tm3gOsA45t1fgkabLVT+W84Jq7tjVoaVTRs4GLJEmaaJGZY1813psXlbs1wIHAxzLz7RFxCvCCzHxzRNwLzMvMjRFxIfDtzFxWvvfTwNWZ+aVh9zwTOBNg5syZxyxfvrxl4+9EmzdvZo899mj3MDRBjGfvqBLLy+9+hCuHHuWUwamcdtCuDa+56gePcMD0KRwy44kJEHc8uJV7Nm3lxc9u/B5NDP9c9hbj2TuMZe8wlhPrhBNOWJOZ85q5tqUNXzJzK3BkROwFXBERc4F3ASc2uDwa3aLBPS8CLgKYN29eLlq0aOIG3AVWrFhBv33mXmY8u9vSlUPMnTWdhYMD22K5amgjazdsatiABYqK3g3X37RtKufpiw9vWPlr9GvR4JBawD+XvcV49g5j2TuMZftMylYPmfkwsIJiaucBwC1l1W8W8L2I2AfYAOxf97ZZwP2TMT5JGo/xrOFzKqckSWqXVnb73Lus+BERuwEvBG7KzGdk5pzMnEOR8B2dmT8GrgROj4gnR8QBwEHAja0anyTtrPo1fJff/cioa/jAvfgkSVJ7tXLa577AxeW6vycBl2bmV0a6ODNvi4hLgduBx4Czy2mjktSx6rdjOGfxgaNux+BefJIkqZ1alvxl5lrgqDGumTPs9fnA+a0akyRNtNp2DKcMTmXZ6vUsGJxhMidJkjrSpKz5k6RuUHUT9vo1fKcdtKtr+CRJUkcz+ZOkUtUGLq7hkyRJ3aSlWz1IUjepb+CyZP5slq1eP2oDF9fwSZKkbmLlT1JPqzqVs76By5L5s03kJElSzzD5k9TTxrMX37LV67dtwu76PUmS1Cuc9impp1WZylnfwGXh4AALBmeMuXefJElSt7DyJ6nnNTuV0wYukiSpl1n5k9Tzhk/lHGkvPhu4SJKkXmblT1JX2Zm9+M498WD34pMkSX3L5E9SV3EvPkmSpPFx2qekruJefJIkSeNj5U9S13EvPkmSpOpM/iR1HffikyRJqs7kT1LbVWniYgMXSZKk8TH5k9R2VZq42MBFkiRpfGz4ImnCLV05xNxZ07dbi7dqaCNrN2wasQFLs01cbOAiSZI0Plb+JE24qtsxgE1cJEmSWs3Kn6QJV3U7BtixicuCwRkmgJIkSRPIyp+kplRpygLVKnk2cZEkSWo9kz+pT1VN5qpO5ayyHYNNXCRJklrP5E/qU1WTufqpnBdcc9e2Sl2jil7VSt5Zxw/ucJ+FgwMNm7tIkiRpfEz+pD5VJZmrf08zUzmt5EmSJHUeG75Ifaw+mTtn8YFjNlhptimL2zFIkiR1Hit/Uh+rsi7PpiySJEndzeRP6lNVkzmnckqSJHU3kz+ph1Tp4Fk1mbMpiyRJUncz+ZN6SJUOniZzkiRJ/cWGL1IPqe/guWT+bJatXj9mB09JkiT1Byt/UgeruhE7NL8dgyRJkvqLyZ/UwapuxF67ptkOnpIkSeofJn/SJKtSzau6EbvbMUiSJGkkJn/SJKtazasyjdPtGCRJkjQSG75Ik6y+mnfcPskN149dzaufxrlgcMaI1zbq1LlwcMB1f5IkSbLyJ+2snWnKcuXQo6NW85zGKUmSpIli8iftpJ1pynLK4NRRm7I4jVOSJEkTxWmf0k6qurdefTXvkftu5fTFh4/YyMVpnJIkSZooVv6kCWBTFkmSJHU6kz+pgarr+KrsrXfW8YM7JIcLBwcaVvkkSZKkiWLyJzVQZR2fTVkkSZLUDVzzJzVQZR3faNM4XZsnSZKkTmHlT31hZ7ZjGGsdn9M4JUmS1A1M/tQXdmY7hmbW8UmSJEmdzuRPXatKNa9+GucF19w14tYK9fdxHZ8kSZJ6icmfulbVap7bMUiSJKmf2fBFXWs8m6vXT+NcMDhj1HV8jb6fDVwkSZLUrVpW+YuIaRFxY0TcEhG3RcR7yuMfjIg7I2JtRFwREXvVvee8iFgXEXdFxEmtGpt6R7PVPKdxSpIkqd+1ctrnFmBxZh4BHAmcHBELgGuBwzNzLvB94DyAiDgUOB04DDgZ+HhETGnh+NRhxtORs9mmLE7jlCRJUr9rWfKXhc3ly6nlIzPzmsx8rDz+bWBW+fxUYHlmbsnMe4B1wLGtGp86T9U1fFWqeW7HIEmSpH7X0oYvETElIm4GHgCuzczVwy55LXB1+fyZwH115zaUx9RBxlOda1bVjpxW8yRJkqTmRWa2/psU6/quAN6UmbeWx94FzANOy8yMiI8B38rMZeX5TwNXZeZlw+51JnAmwMyZM49Zvnx5y8ffSTZv3swee+wxYfe76gePcMD0KRwy44kZtnc8uJV7Nm3lxc/edYfr73hwKx+/+Te84chpHDJjyg6vd/b+AJff/QhXDj3KKYNTOe2gxtf0iomOp9rHWPYOY9lbjGfvMJa9w1hOrBNOOGFNZs5r5tpJ6faZmQ9HxAqKtXy3RsSrgZcCL8gnss8NwP51b5sF3N/gXhcBFwHMmzcvFy1a1MKRd54VK1YwkZ951/1rUyePYOHgAKuGNvLJ62/iwjOOblhxWwQcceTGssPmLJbdvp5PvGb+iNW5qvdfNbSRG66/adsavtMXH97THTYnOp5qH2PZO4xlbzGevcNY9g5j2T4tS/4iYm/g0TLx2w14IfCBiDgZeDtwfGb+qu4tVwKXRMQFwH7AQcCNrRqfClW3S6i9p9Zh85zFB455bbP3r1/Dt3BwgAWDM8ac+ilJkiSpOa1c87cv8F8RsRb4DsWav68AFwJ7AtdGxM0RsRQgM28DLgVuB74KnJ2ZW1s4vp5VdV1elc3Pa/dqpsNm1fu7hk+SJElqnZZV/jJzLXBUg+MHjvKe84HzWzWmflHrmllLpOorao1U2fx8PNW5Zu/vxuqSJElS67S026cmxngqec12zay6+XnV6pybq0uSJEmdweSvC1Td/w5aN9Wy6n55TuWUJEmSOsOkdPvUzqmv5B23T3LD9WM3QemUqZZO5ZQkSZI6g5W/NhlvU5Yrhx4dsymLUy0lSZIkDWfyN0GqJnNVp3LWKnmnDE4ds8OmUy0lSZIkDWfyN0GqJnPjbcpy2kG7jlnJq7ouT5IkSVLvM/mbIFWSufr3uP+dJEmSpMlgw5cJVJ/MnbP4wMqbpbv/nSRJkqRWsfI3gYYnc6Oty7MpiyRJkqTJZPI3QVq9WbokSZIk7QynfU6Q0ZI5p3JKkiRJajeTvwliMidJkiSpkzntU5IkSZL6gMmfJEmSJPUBkz9JkiRJ6gMmf5IkSZLUB0z+JEmSJKkPmPxJkiRJUh8w+ZMkSZKkPmDyJ0mSJEl9wORPkiRJkvqAyZ8kSZIk9YHIzHaPYdwi4qfAD9s9jkk2AGxs9yA0YYxn7zCWvcNY9hbj2TuMZe8wlhPrWZm5dzMXdnXy148i4ruZOa/d49DEMJ69w1j2DmPZW4xn7zCWvcNYto/TPiVJkiSpD5j8SZIkSVIfMPnrPhe1ewCaUMazdxjL3mEse4vx7B3GsncYyzZxzZ8kSZIk9QErf5IkSZLUB0z+OkBEfCYiHoiIW+uOHRER34qI/4mIL0fEU+vOzS3P3Vaen1YeP6Z8vS4iPhoR0Y7P08+qxDIiXhURN9c9Ho+II8tzxrLNKsZyakRcXB6/IyLOq3uPsewAFeO5a0R8tjx+S0QsqnuP8WyziNg/Iv6r/LN2W0S8uTz+9Ii4NiLuLr8+re4955UxuysiTqo7bjzbqGosI2JGef3miLhw2L2MZRuNI5Yviog1ZczWRMTiunsZy1bKTB9tfgC/AxwN3Fp37DvA8eXz1wJ/Vz7fBVgLHFG+ngFMKZ/fCDwPCOBq4Hfb/dn67VEllsPe99vAD+peG8suiiVwBrC8fP4U4F5gjrHsnEfFeJ4NfLZ8/gxgDfAk49kZD2Bf4Ojy+Z7A94FDgX8E3lEefwfwgfL5ocAtwJOBA4Ah/7/ZGY9xxHJ34DjgLODCYfcylt0Vy6OA/crnhwP/aywn52HlrwNk5n8DDw07fDDw3+Xza4GXl89PBNZm5i3lex/MzK0RsS/w1Mz8VhZ/cv4NeFnrR696FWNZ7w+BLwAYy85QMZYJ7B4RuwC7AY8APzeWnaNiPA8FvlG+7wHgYWCe8ewMmfmjzPxe+fwXwB3AM4FTgYvLyy7midicSvGPM1sy8x5gHXCs8Wy/qrHMzF9m5g3Ab+rvYyzbbxyxvCkz7y+P3wZMi4gnG8vWM/nrXLcCp5TPXwnsXz5/DpAR8bWI+F5EvK08/kxgQ937N5TH1H4jxbLe/6VM/jCWnWykWH4J+CXwI2A98E+Z+RDGstONFM9bgFMjYpeIOAA4pjxnPDtMRMyhqCCsBmZm5o+g+IsoRdUWihjdV/e2WtyMZwdpMpYjMZYdZByxfDlwU2ZuwVi2nMlf53otcHZErKEonz9SHt+FYsrDq8qvvx8RL6AojQ9nK9fOMFIsAYiI+cCvMrO2FslYdq6RYnkssBXYj2Ja2V9GxLMxlp1upHh+huIvHN8FPgysAh7DeHaUiNgDuAx4S2b+fLRLGxzLUY5rklWI5Yi3aHDMWLZB1VhGxGHAB4DX1w41uMxYTqBd2j0ANZaZd1JM8SQingO8pDy1AViZmRvLc1dRrGNZBsyqu8Us4H7UdqPEsuZ0nqj6QRFjY9mBRonlGcBXM/NR4IGI+CYwD7geY9mxRopnZj4G/EXtuohYBdwN/Azj2REiYirFXzA/n5mXl4d/EhH7ZuaPyqljD5THN7D9jIta3PxvbQeoGMuRGMsOUDWWETELuAL448wcKg8byxaz8tehIuIZ5dcnAX8NLC1PfQ2YGxFPKdcXHQ/cXpbSfxERC8quSH8M/Ecbhq5hRoll7dgrgeW1Y8ayc40Sy/XA4ijsDiwA7jSWnW2keJb/fd29fP4i4LHM9L+zHaL82X8auCMzL6g7dSXw6vL5q3kiNlcCp5friQ4ADgJuNJ7tN45YNmQs269qLCNiL+A/gfMy85u1i41l67nJeweIiC8Ai4AB4CfA3wJ7UHScA7ic4g9HltcvAc6jKINflZlvK4/PA/6VouHE1cCb0gBPqnHEchHw/sxcMOw+xrLNqsSynObyWYpGIUHRKfKD5X2MZQeoGM85FP/Q9jjwv8CfZuYPy/sYzzaLiOMoqur/QxEjgHdSrC+6FJhN8Q8yryzX3hIR76KY5vsYxXS0q8vjxrONxhnLe4GnArtSNGM6MTNvN5btVTWWEfHXFH+XvbvuNidm5gPGsrVM/iRJkiSpDzjtU5IkSZL6gMmfJEmSJPUBkz9JkiRJ6gMmf5IkSZLUB0z+JElqgYh4fUQ8rd3jkCSpxuRPkiQgIn4/IjIifmsC7vU3wEOZ+bMJGJokSRPCrR4kSQIi4lJgX+AbmfnuNg9HkqQJZ+VPktT3ImIP4PnAnwKnl8cWRcSKiPhSRNwZEZ+PiCjP3RsR74mI70XE/9SqhRGxe0R8JiK+ExE3RcSp5fEpEfHB8vjaiHh9mz6qJKmPmfxJkgQvA76amd8HHoqIo8vjRwFvAQ4Fnk2RINZszMyjgf8XeGt57F3AdZn5XOAE4IMRsTtFUrmpPP5c4HURcUCrP5QkSfVM/iRJgj8ElpfPl5evAW7MzA2Z+ThwMzCn7j2Xl1/X1B0/EXhHRNwMrACmAbPL439cHl8NzAAOasUHkSRpJLu0ewCSJLVTRMwAFgOHR0QCU4AErgK21F26le3/v7mlwfEAXp6Zdw37HgG8KTO/NvGfQJKk5lj5kyT1u1cA/5aZz8rMOZm5P3APcNw47vU14E11awOPqjv+5xExtTz+nHI6qCRJk8bkT5LU7/4QuGLYscuAM8Zxr78DpgJrI+LW8jXAp4Dbge+Vxz+Bs28kSZPMrR4kSZIkqQ9Y+ZMkSZKkPmDyJ0mSJEl9wORPkiRJkvqAyZ8kSZIk9QGTP0mSJEnqAyZ/kiRJktQHTP4kSZIkqQ+Y/EmSJElSH/j/AX6sBOChohlkAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15, 6))\n", + "plt.plot(mean_concentration_by_year.index, mean_concentration_by_year.values, label='Concentration moyenne de CO2 par an', marker='x', linestyle='')\n", + "plt.title('Concentration moyenne de CO2 par an')\n", + "plt.xlabel('Année')\n", + "plt.ylabel('Concentration')\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous procédons maintenant à l'analyse et à la détermination de l'oscillation périodique.\n", + "\n", + "Pour ce faire, une nouvelle colonne \"Oscilation\" est créée dans le tableau Pandas avec la différence entre la valeur originale de la concentration de CO2 et la valeur moyenne par an calculée :" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Date Concentration Year Mean_Concentration Oscilation\n", + "0 1958-03-29 316.19 1958 315.474 0.716\n", + "1 1958-04-05 317.31 1958 315.474 1.836\n", + "2 1958-04-12 317.69 1958 315.474 2.216\n", + "3 1958-04-19 317.58 1958 315.474 2.106\n", + "4 1958-04-26 316.48 1958 315.474 1.006\n" + ] + } + ], + "source": [ + "data['Oscilation'] = data['Concentration']-data['Mean_Concentration']\n", + "print(data.head())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut utiliser une représentation graphique :" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15, 6))\n", + "plt.plot(data['Date'], data['Oscilation'], label='Oscilation de Concentration')\n", + "plt.title('Oscilation de Concentration')\n", + "plt.xlabel('Année')\n", + "plt.ylabel('Concentration')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut ensuite determiner la période de ces oscillations :" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Dominant oscillation frequency: 51.86153846153846 week/cycles\n", + "Maximum oscillation amplitude in CO2 oscilation: 3238.1102231652067\n", + "Maximum oscillation amplitude in CO2 periodic oscilation: 4.419807692307586\n", + "Minimum oscillation amplitude in CO2 periodic oscilation: -4.191923076923047\n" + ] + } + ], + "source": [ + "# Periodic oscillation. Calculate the Fourier transform of the CO2 oscilation time series.\n", + "co2_oscilation_fft = np.fft.fft(data['Oscilation'])\n", + "\n", + "# Calculate the frequencies corresponding to the Fourier components\n", + "n = len(data)\n", + "frequencies = np.fft.fftfreq(n, d=1) # Frequency in cycles per week\n", + "\n", + "# Find the maximum frequency and amplitude\n", + "max_freq_index = np.argmax(np.abs(co2_oscilation_fft))\n", + "max_freq = frequencies[max_freq_index]\n", + "max_amplitude = np.abs(co2_oscilation_fft[max_freq_index])\n", + "\n", + "# Calculate the inverse frequency in weeks per cycle.\n", + "max_freq_week_cycles = 1 / max_freq\n", + "\n", + "print(\"Dominant oscillation frequency:\", max_freq_week_cycles, \"week/cycles\")\n", + "print(\"Maximum oscillation amplitude in CO2 oscilation:\", max_amplitude)\n", + "\n", + "# Periodic oscillation. Calculate the maximum and minimum value of the 'Oscillation' column\n", + "maximum_value = data['Oscilation'].max()\n", + "minimum_value = data['Oscilation'].min()\n", + "\n", + "print(\"Maximum oscillation amplitude in CO2 periodic oscilation:\", maximum_value)\n", + "print(\"Minimum oscillation amplitude in CO2 periodic oscilation:\", minimum_value)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +480,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } -