{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sujet 1 : la concentration de CO₂ dans l’atmosphère (courbe de Keeling)\n", "Version proposé par Guillaume Boileau" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ce document analyse l'évolution de la concentration de CO₂ dans l'atmosphère depuis 1958, à partir des données hebdomadaires de l'observatoire de Mauna Loa." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import pandas as pd\n", "import numpy as np\n", "import os\n", "import urllib.request\n", "import matplotlib.pyplot as plt\n", "from scipy.optimize import curve_fit\n", "from statsmodels.tsa.seasonal import seasonal_decompose\n", "\n", "plt.rcParams['figure.figsize'] = (12, 5)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Chargement et visualisation des données" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### a. URL des données et file_path local" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "url = \"https://scrippsco2.ucsd.edu/assets/data/atmospheric/stations/in_situ_co2/monthly/monthly_in_situ_co2_mlo.csv\"\n", "file_path = \"weekly_in_situ_co2_mlo.csv\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "URL des données hebdomadaires (mise à jour en 2024) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### b. Télécharger le fichier s’il n'existe pas localement" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fichier local utilisé : weekly_in_situ_co2_mlo.csv\n" ] } ], "source": [ "if not os.path.exists(file_path):\n", " urllib.request.urlretrieve(url, file_path)\n", " print(\"Fichier téléchargé depuis :\", url)\n", "else:\n", " print(\"Fichier local utilisé :\", file_path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ici l'on va télécharger les donnée si elle n'existe pas dans le dossier local sinon on utlise le fichier local. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### c. Chargement brut et affichage des données" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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45306 2024.0410 422.62 422.55 422.87 \n", "795 2024 02 45337 2024.1257 424.34 423.56 423.87 \n", "796 2024 03 45366 2024.2049 425.22 423.66 424.93 \n", "797 2024 04 45397 2024.2896 426.30 423.51 426.45 \n", "798 2024 05 45427 2024.3716 426.70 423.31 427.30 \n", "799 2024 06 45458 2024.4563 426.62 424.07 426.72 \n", "800 2024 07 45488 2024.5383 425.40 424.63 425.20 \n", "801 2024 08 45519 2024.6230 422.70 424.29 423.11 \n", "802 2024 09 45550 2024.7077 421.60 425.11 421.49 \n", "803 2024 10 45580 2024.7896 422.05 425.65 421.69 \n", "804 2024 11 45611 2024.8743 423.61 425.86 423.31 \n", "805 2024 12 45641 2024.9563 425.01 425.93 424.87 \n", "806 2025 01 45672 2025.0411 426.42 426.35 426.09 \n", "807 2025 02 45703 2025.1260 427.00 426.21 427.03 \n", "808 2025 03 45731 2025.2027 427.73 426.19 427.99 \n", "809 2025 04 45762 2025.2877 429.24 426.47 429.44 \n", "810 2025 05 45792 2025.3699 430.20 426.80 -99.99 \n", "811 2025 06 45823 2025.4548 -99.99 -99.99 -99.99 \n", "812 2025 07 45853 2025.5370 -99.99 -99.99 -99.99 \n", "813 2025 08 45884 2025.6219 -99.99 -99.99 -99.99 \n", "814 2025 09 45915 2025.7068 -99.99 -99.99 -99.99 \n", "815 2025 10 45945 2025.7890 -99.99 -99.99 -99.99 \n", "816 2025 11 45976 2025.8740 -99.99 -99.99 -99.99 \n", "817 2025 12 46006 2025.9562 -99.99 -99.99 -99.99 \n", "\n", " seasonally CO2 seasonally Sta \n", "0 adjusted fit filled adjusted filled NaN \n", "1 [ppm] [ppm] [ppm] NaN \n", "2 -99.99 -99.99 -99.99 MLO \n", "3 -99.99 -99.99 -99.99 MLO \n", "4 314.90 315.71 314.43 MLO \n", "5 314.98 317.45 315.15 MLO \n", "6 315.06 317.51 314.68 MLO \n", "7 315.14 317.27 315.14 MLO \n", "8 315.21 315.87 315.20 MLO \n", "9 315.28 314.93 316.23 MLO \n", "10 315.35 313.21 316.13 MLO \n", "11 315.40 312.41 315.40 MLO \n", "12 315.46 313.33 315.21 MLO \n", "13 315.51 314.67 315.43 MLO \n", "14 315.57 315.58 315.52 MLO \n", "15 315.63 316.49 315.83 MLO \n", "16 315.69 316.65 315.37 MLO \n", "17 315.77 317.72 315.41 MLO \n", "18 315.85 318.29 315.46 MLO \n", "19 315.94 318.15 316.00 MLO \n", "20 316.03 316.54 315.87 MLO \n", "21 316.12 314.79 316.10 MLO \n", "22 316.22 313.84 316.76 MLO \n", "23 316.31 313.33 316.35 MLO \n", "24 316.39 314.81 316.70 MLO \n", "25 316.47 315.58 316.35 MLO \n", "26 316.55 316.43 316.37 MLO \n", "27 316.64 316.98 316.33 MLO \n", "28 316.71 317.58 316.27 MLO \n", "29 316.79 319.03 316.69 MLO \n", ".. ... ... ... ... \n", "788 420.95 421.62 420.82 MLO \n", "789 421.26 419.56 421.11 MLO \n", "790 421.57 418.06 421.56 MLO \n", "791 421.88 418.41 422.01 MLO \n", "792 422.19 420.11 422.37 MLO \n", "793 422.49 421.65 422.57 MLO \n", "794 422.79 422.62 422.55 MLO \n", "795 423.08 424.34 423.56 MLO \n", "796 423.35 425.22 423.66 MLO \n", "797 423.64 426.30 423.51 MLO \n", "798 423.91 426.70 423.31 MLO \n", "799 424.19 426.62 424.07 MLO \n", "800 424.46 425.40 424.63 MLO \n", "801 424.74 422.70 424.29 MLO \n", "802 425.02 421.60 425.11 MLO \n", "803 425.28 422.05 425.65 MLO \n", "804 425.53 423.61 425.86 MLO \n", "805 425.77 425.01 425.93 MLO \n", "806 426.01 426.42 426.35 MLO \n", "807 426.24 427.00 426.21 MLO \n", "808 426.44 427.73 426.19 MLO \n", "809 426.65 429.24 426.47 MLO \n", "810 -99.99 430.20 426.80 MLO \n", "811 -99.99 -99.99 -99.99 MLO \n", "812 -99.99 -99.99 -99.99 MLO \n", "813 -99.99 -99.99 -99.99 MLO \n", "814 -99.99 -99.99 -99.99 MLO \n", "815 -99.99 -99.99 -99.99 MLO \n", "816 -99.99 -99.99 -99.99 MLO \n", "817 -99.99 -99.99 -99.99 MLO \n", "\n", "[818 rows x 11 columns]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_raw = pd.read_csv(file_path, skiprows=range(0, 61))\n", "df_raw" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Les 62 premières lignes sont des explications : nous pouvons ne pas les charger pour le reste de l’analyse des données.\n", "\n", "Nous remarquons des lignes contenant la valeur `-99.99` : cela indique que la mesure n’a pas été effectuée avec succès. \n", "Il faudra filtrer ces valeurs lors de l’analyse." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Columns : Index([' Yr', ' Mn', ' Date', ' Date', ' CO2', 'seasonally',\n", " ' fit', ' seasonally', ' CO2', ' seasonally', ' Sta'],\n", " dtype='object')\n", "head : Yr Mn Date Date CO2 seasonally fit \\\n", "0 adjusted \n", "1 Excel [ppm] [ppm] [ppm] \n", "2 1958 01 21200 1958.0411 -99.99 -99.99 -99.99 \n", "3 1958 02 21231 1958.1260 -99.99 -99.99 -99.99 \n", "4 1958 03 21259 1958.2027 315.71 314.43 316.20 \n", "\n", " seasonally CO2 seasonally Sta \n", "0 adjusted fit filled adjusted filled NaN \n", "1 [ppm] [ppm] [ppm] NaN \n", "2 -99.99 -99.99 -99.99 MLO \n", "3 -99.99 -99.99 -99.99 MLO \n", "4 314.90 315.71 314.43 MLO \n" ] } ], "source": [ "print('Columns : ', df_raw.columns)\n", "print('head : ', df_raw.head())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Traitement de la courbe" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "df = df_raw.copy()" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Index(['Yr', 'Mn', 'Date', 'Date_2', 'CO2', 'seasonally', 'fit',\n", " 'seasonally_2', 'CO2_2', 'seasonally_3', 'Sta'],\n", " dtype='object')\n", "(818, 11)\n", " Yr Mn Date Date_2 CO2 seasonally fit \\\n", "0 adjusted \n", "1 Excel [ppm] [ppm] [ppm] \n", "2 1958 01 21200 1958.0411 -99.99 -99.99 -99.99 \n", "3 1958 02 21231 1958.1260 -99.99 -99.99 -99.99 \n", "4 1958 03 21259 1958.2027 315.71 314.43 316.20 \n", "\n", " seasonally_2 CO2_2 seasonally_3 Sta \n", "0 adjusted fit filled adjusted filled NaN \n", "1 [ppm] [ppm] [ppm] NaN \n", "2 -99.99 -99.99 -99.99 MLO \n", "3 -99.99 -99.99 -99.99 MLO \n", "4 314.90 315.71 314.43 MLO \n" ] } ], "source": [ "raw_columns = list(df_raw.columns)\n", "cleaned = [col.strip().replace(\" \", \"_\") for col in df.columns]\n", "seen = {}\n", "final_columns = []\n", "for col in cleaned:\n", " if col not in seen:\n", " seen[col] = 1\n", " final_columns.append(col)\n", " else:\n", " seen[col] += 1\n", " final_columns.append(f\"{col}_{seen[col]}\")\n", "df.columns = final_columns\n", "\n", "print(df.columns)\n", "print(df.shape) \n", "print(df.head()) \n" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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818 rows × 11 columns

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" ], "text/plain": [ " Yr Mn Date Date_2 CO2 seasonally fit \\\n", "0 adjusted \n", "1 Excel [ppm] [ppm] [ppm] \n", "2 1958 01 21200 1958.0411 -99.99 -99.99 -99.99 \n", "3 1958 02 21231 1958.1260 -99.99 -99.99 -99.99 \n", "4 1958 03 21259 1958.2027 315.71 314.43 316.20 \n", "5 1958 04 21290 1958.2877 317.45 315.15 317.30 \n", "6 1958 05 21320 1958.3699 317.51 314.68 317.89 \n", "7 1958 06 21351 1958.4548 -99.99 -99.99 317.27 \n", "8 1958 07 21381 1958.5370 315.87 315.20 315.85 \n", "9 1958 08 21412 1958.6219 314.93 316.23 313.95 \n", "10 1958 09 21443 1958.7068 313.21 316.13 312.42 \n", "11 1958 10 21473 1958.7890 -99.99 -99.99 312.41 \n", "12 1958 11 21504 1958.8740 313.33 315.21 313.60 \n", "13 1958 12 21534 1958.9562 314.67 315.43 314.76 \n", "14 1959 01 21565 1959.0411 315.58 315.52 315.64 \n", "15 1959 02 21596 1959.1260 316.49 315.83 316.29 \n", "16 1959 03 21624 1959.2027 316.65 315.37 316.99 \n", "17 1959 04 21655 1959.2877 317.72 315.41 318.09 \n", "18 1959 05 21685 1959.3699 318.29 315.46 318.68 \n", "19 1959 06 21716 1959.4548 318.15 316.00 318.08 \n", "20 1959 07 21746 1959.5370 316.54 315.87 316.67 \n", "21 1959 08 21777 1959.6219 314.79 316.10 314.79 \n", "22 1959 09 21808 1959.7068 313.84 316.76 313.28 \n", "23 1959 10 21838 1959.7890 313.33 316.35 313.30 \n", "24 1959 11 21869 1959.8740 314.81 316.70 314.53 \n", "25 1959 12 21899 1959.9562 315.58 316.35 315.72 \n", "26 1960 01 21930 1960.0410 316.43 316.37 316.62 \n", "27 1960 02 21961 1960.1257 316.98 316.33 317.30 \n", "28 1960 03 21990 1960.2049 317.58 316.27 318.04 \n", "29 1960 04 22021 1960.2896 319.03 316.69 319.14 \n", ".. ... ... ... ... ... ... ... \n", "788 2023 07 45122 2023.5370 421.62 420.82 421.71 \n", "789 2023 08 45153 2023.6219 419.56 421.11 419.66 \n", "790 2023 09 45184 2023.7068 418.06 421.56 418.06 \n", "791 2023 10 45214 2023.7890 418.41 422.01 418.29 \n", "792 2023 11 45245 2023.8740 420.11 422.37 419.96 \n", "793 2023 12 45275 2023.9562 421.65 422.57 421.59 \n", "794 2024 01 45306 2024.0410 422.62 422.55 422.87 \n", "795 2024 02 45337 2024.1257 424.34 423.56 423.87 \n", "796 2024 03 45366 2024.2049 425.22 423.66 424.93 \n", "797 2024 04 45397 2024.2896 426.30 423.51 426.45 \n", "798 2024 05 45427 2024.3716 426.70 423.31 427.30 \n", "799 2024 06 45458 2024.4563 426.62 424.07 426.72 \n", "800 2024 07 45488 2024.5383 425.40 424.63 425.20 \n", "801 2024 08 45519 2024.6230 422.70 424.29 423.11 \n", "802 2024 09 45550 2024.7077 421.60 425.11 421.49 \n", "803 2024 10 45580 2024.7896 422.05 425.65 421.69 \n", "804 2024 11 45611 2024.8743 423.61 425.86 423.31 \n", "805 2024 12 45641 2024.9563 425.01 425.93 424.87 \n", "806 2025 01 45672 2025.0411 426.42 426.35 426.09 \n", "807 2025 02 45703 2025.1260 427.00 426.21 427.03 \n", "808 2025 03 45731 2025.2027 427.73 426.19 427.99 \n", "809 2025 04 45762 2025.2877 429.24 426.47 429.44 \n", "810 2025 05 45792 2025.3699 430.20 426.80 -99.99 \n", "811 2025 06 45823 2025.4548 -99.99 -99.99 -99.99 \n", "812 2025 07 45853 2025.5370 -99.99 -99.99 -99.99 \n", "813 2025 08 45884 2025.6219 -99.99 -99.99 -99.99 \n", "814 2025 09 45915 2025.7068 -99.99 -99.99 -99.99 \n", "815 2025 10 45945 2025.7890 -99.99 -99.99 -99.99 \n", "816 2025 11 45976 2025.8740 -99.99 -99.99 -99.99 \n", "817 2025 12 46006 2025.9562 -99.99 -99.99 -99.99 \n", "\n", " seasonally_2 CO2_2 seasonally_3 Sta \n", "0 adjusted fit filled adjusted filled NaN \n", "1 [ppm] [ppm] [ppm] NaN \n", "2 -99.99 -99.99 -99.99 MLO \n", "3 -99.99 -99.99 -99.99 MLO \n", "4 314.90 315.71 314.43 MLO \n", "5 314.98 317.45 315.15 MLO \n", "6 315.06 317.51 314.68 MLO \n", "7 315.14 317.27 315.14 MLO \n", "8 315.21 315.87 315.20 MLO \n", "9 315.28 314.93 316.23 MLO \n", "10 315.35 313.21 316.13 MLO \n", "11 315.40 312.41 315.40 MLO \n", "12 315.46 313.33 315.21 MLO \n", "13 315.51 314.67 315.43 MLO \n", "14 315.57 315.58 315.52 MLO \n", "15 315.63 316.49 315.83 MLO \n", "16 315.69 316.65 315.37 MLO \n", "17 315.77 317.72 315.41 MLO \n", "18 315.85 318.29 315.46 MLO \n", "19 315.94 318.15 316.00 MLO \n", "20 316.03 316.54 315.87 MLO \n", "21 316.12 314.79 316.10 MLO \n", "22 316.22 313.84 316.76 MLO \n", "23 316.31 313.33 316.35 MLO \n", "24 316.39 314.81 316.70 MLO \n", "25 316.47 315.58 316.35 MLO \n", "26 316.55 316.43 316.37 MLO \n", "27 316.64 316.98 316.33 MLO \n", "28 316.71 317.58 316.27 MLO \n", "29 316.79 319.03 316.69 MLO \n", ".. ... ... ... ... \n", "788 420.95 421.62 420.82 MLO \n", "789 421.26 419.56 421.11 MLO \n", "790 421.57 418.06 421.56 MLO \n", "791 421.88 418.41 422.01 MLO \n", "792 422.19 420.11 422.37 MLO \n", "793 422.49 421.65 422.57 MLO \n", "794 422.79 422.62 422.55 MLO \n", "795 423.08 424.34 423.56 MLO \n", "796 423.35 425.22 423.66 MLO \n", "797 423.64 426.30 423.51 MLO \n", "798 423.91 426.70 423.31 MLO \n", "799 424.19 426.62 424.07 MLO \n", "800 424.46 425.40 424.63 MLO \n", "801 424.74 422.70 424.29 MLO \n", "802 425.02 421.60 425.11 MLO \n", "803 425.28 422.05 425.65 MLO \n", "804 425.53 423.61 425.86 MLO \n", "805 425.77 425.01 425.93 MLO \n", "806 426.01 426.42 426.35 MLO \n", "807 426.24 427.00 426.21 MLO \n", "808 426.44 427.73 426.19 MLO \n", "809 426.65 429.24 426.47 MLO \n", "810 -99.99 430.20 426.80 MLO \n", "811 -99.99 -99.99 -99.99 MLO \n", "812 -99.99 -99.99 -99.99 MLO \n", "813 -99.99 -99.99 -99.99 MLO \n", "814 -99.99 -99.99 -99.99 MLO \n", "815 -99.99 -99.99 -99.99 MLO \n", "816 -99.99 -99.99 -99.99 MLO \n", "817 -99.99 -99.99 -99.99 MLO \n", "\n", "[818 rows x 11 columns]" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nettoyage des noms de colonnes : on supprime les espaces avec `strip().replace(\" \", \"_\")` et on rend les noms uniques en ajoutant un suffixe `_2`, `_3`, etc. en cas de doublons." ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/conda/lib/python3.6/site-packages/ipykernel_launcher.py:4: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "df['Yr'] = pd.to_numeric(df['Yr'], errors='coerce')\n", "df['Mn'] = pd.to_numeric(df['Mn'], errors='coerce')\n", "df = df.dropna(subset=['Yr', 'Mn'])\n", "df['date'] = pd.to_datetime(df[['Yr', 'Mn']].rename(columns={'Yr': 'year', 'Mn': 'month'}).assign(day=1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On convertit les colonnes 'Yr' et 'Mn' en nombres avec `pd.to_numeric(..., errors='coerce')` pour éviter les erreurs de conversion de date causées par des valeurs vides ou invalides.\n" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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YrMnDateDate_2CO2seasonallyfitseasonally_2CO2_2seasonally_3Stadate
21958.01.0212001958.0411-99.99-99.99-99.99-99.99-99.99-99.99MLO1958-01-01
31958.02.0212311958.1260-99.99-99.99-99.99-99.99-99.99-99.99MLO1958-02-01
41958.03.0212591958.2027315.71314.43316.20314.90315.71314.43MLO1958-03-01
51958.04.0212901958.2877317.45315.15317.30314.98317.45315.15MLO1958-04-01
61958.05.0213201958.3699317.51314.68317.89315.06317.51314.68MLO1958-05-01
71958.06.0213511958.4548-99.99-99.99317.27315.14317.27315.14MLO1958-06-01
81958.07.0213811958.5370315.87315.20315.85315.21315.87315.20MLO1958-07-01
91958.08.0214121958.6219314.93316.23313.95315.28314.93316.23MLO1958-08-01
101958.09.0214431958.7068313.21316.13312.42315.35313.21316.13MLO1958-09-01
111958.010.0214731958.7890-99.99-99.99312.41315.40312.41315.40MLO1958-10-01
121958.011.0215041958.8740313.33315.21313.60315.46313.33315.21MLO1958-11-01
131958.012.0215341958.9562314.67315.43314.76315.51314.67315.43MLO1958-12-01
141959.01.0215651959.0411315.58315.52315.64315.57315.58315.52MLO1959-01-01
151959.02.0215961959.1260316.49315.83316.29315.63316.49315.83MLO1959-02-01
161959.03.0216241959.2027316.65315.37316.99315.69316.65315.37MLO1959-03-01
171959.04.0216551959.2877317.72315.41318.09315.77317.72315.41MLO1959-04-01
181959.05.0216851959.3699318.29315.46318.68315.85318.29315.46MLO1959-05-01
191959.06.0217161959.4548318.15316.00318.08315.94318.15316.00MLO1959-06-01
201959.07.0217461959.5370316.54315.87316.67316.03316.54315.87MLO1959-07-01
211959.08.0217771959.6219314.79316.10314.79316.12314.79316.10MLO1959-08-01
221959.09.0218081959.7068313.84316.76313.28316.22313.84316.76MLO1959-09-01
231959.010.0218381959.7890313.33316.35313.30316.31313.33316.35MLO1959-10-01
241959.011.0218691959.8740314.81316.70314.53316.39314.81316.70MLO1959-11-01
251959.012.0218991959.9562315.58316.35315.72316.47315.58316.35MLO1959-12-01
261960.01.0219301960.0410316.43316.37316.62316.55316.43316.37MLO1960-01-01
271960.02.0219611960.1257316.98316.33317.30316.64316.98316.33MLO1960-02-01
281960.03.0219901960.2049317.58316.27318.04316.71317.58316.27MLO1960-03-01
291960.04.0220211960.2896319.03316.69319.14316.79319.03316.69MLO1960-04-01
301960.05.0220511960.3716320.03317.19319.70316.86320.03317.19MLO1960-05-01
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.......................................
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\n", "

816 rows × 12 columns

\n", "
" ], "text/plain": [ " Yr Mn Date Date_2 CO2 seasonally fit \\\n", "2 1958.0 1.0 21200 1958.0411 -99.99 -99.99 -99.99 \n", "3 1958.0 2.0 21231 1958.1260 -99.99 -99.99 -99.99 \n", "4 1958.0 3.0 21259 1958.2027 315.71 314.43 316.20 \n", "5 1958.0 4.0 21290 1958.2877 317.45 315.15 317.30 \n", "6 1958.0 5.0 21320 1958.3699 317.51 314.68 317.89 \n", "7 1958.0 6.0 21351 1958.4548 -99.99 -99.99 317.27 \n", "8 1958.0 7.0 21381 1958.5370 315.87 315.20 315.85 \n", "9 1958.0 8.0 21412 1958.6219 314.93 316.23 313.95 \n", "10 1958.0 9.0 21443 1958.7068 313.21 316.13 312.42 \n", "11 1958.0 10.0 21473 1958.7890 -99.99 -99.99 312.41 \n", "12 1958.0 11.0 21504 1958.8740 313.33 315.21 313.60 \n", "13 1958.0 12.0 21534 1958.9562 314.67 315.43 314.76 \n", "14 1959.0 1.0 21565 1959.0411 315.58 315.52 315.64 \n", "15 1959.0 2.0 21596 1959.1260 316.49 315.83 316.29 \n", "16 1959.0 3.0 21624 1959.2027 316.65 315.37 316.99 \n", "17 1959.0 4.0 21655 1959.2877 317.72 315.41 318.09 \n", "18 1959.0 5.0 21685 1959.3699 318.29 315.46 318.68 \n", "19 1959.0 6.0 21716 1959.4548 318.15 316.00 318.08 \n", "20 1959.0 7.0 21746 1959.5370 316.54 315.87 316.67 \n", "21 1959.0 8.0 21777 1959.6219 314.79 316.10 314.79 \n", "22 1959.0 9.0 21808 1959.7068 313.84 316.76 313.28 \n", "23 1959.0 10.0 21838 1959.7890 313.33 316.35 313.30 \n", "24 1959.0 11.0 21869 1959.8740 314.81 316.70 314.53 \n", "25 1959.0 12.0 21899 1959.9562 315.58 316.35 315.72 \n", "26 1960.0 1.0 21930 1960.0410 316.43 316.37 316.62 \n", "27 1960.0 2.0 21961 1960.1257 316.98 316.33 317.30 \n", "28 1960.0 3.0 21990 1960.2049 317.58 316.27 318.04 \n", "29 1960.0 4.0 22021 1960.2896 319.03 316.69 319.14 \n", "30 1960.0 5.0 22051 1960.3716 320.03 317.19 319.70 \n", "31 1960.0 6.0 22082 1960.4563 319.59 317.44 319.04 \n", ".. ... ... ... ... ... ... ... \n", "788 2023.0 7.0 45122 2023.5370 421.62 420.82 421.71 \n", "789 2023.0 8.0 45153 2023.6219 419.56 421.11 419.66 \n", "790 2023.0 9.0 45184 2023.7068 418.06 421.56 418.06 \n", "791 2023.0 10.0 45214 2023.7890 418.41 422.01 418.29 \n", "792 2023.0 11.0 45245 2023.8740 420.11 422.37 419.96 \n", "793 2023.0 12.0 45275 2023.9562 421.65 422.57 421.59 \n", "794 2024.0 1.0 45306 2024.0410 422.62 422.55 422.87 \n", "795 2024.0 2.0 45337 2024.1257 424.34 423.56 423.87 \n", "796 2024.0 3.0 45366 2024.2049 425.22 423.66 424.93 \n", "797 2024.0 4.0 45397 2024.2896 426.30 423.51 426.45 \n", "798 2024.0 5.0 45427 2024.3716 426.70 423.31 427.30 \n", "799 2024.0 6.0 45458 2024.4563 426.62 424.07 426.72 \n", "800 2024.0 7.0 45488 2024.5383 425.40 424.63 425.20 \n", "801 2024.0 8.0 45519 2024.6230 422.70 424.29 423.11 \n", "802 2024.0 9.0 45550 2024.7077 421.60 425.11 421.49 \n", "803 2024.0 10.0 45580 2024.7896 422.05 425.65 421.69 \n", "804 2024.0 11.0 45611 2024.8743 423.61 425.86 423.31 \n", "805 2024.0 12.0 45641 2024.9563 425.01 425.93 424.87 \n", "806 2025.0 1.0 45672 2025.0411 426.42 426.35 426.09 \n", "807 2025.0 2.0 45703 2025.1260 427.00 426.21 427.03 \n", "808 2025.0 3.0 45731 2025.2027 427.73 426.19 427.99 \n", "809 2025.0 4.0 45762 2025.2877 429.24 426.47 429.44 \n", "810 2025.0 5.0 45792 2025.3699 430.20 426.80 -99.99 \n", "811 2025.0 6.0 45823 2025.4548 -99.99 -99.99 -99.99 \n", "812 2025.0 7.0 45853 2025.5370 -99.99 -99.99 -99.99 \n", "813 2025.0 8.0 45884 2025.6219 -99.99 -99.99 -99.99 \n", "814 2025.0 9.0 45915 2025.7068 -99.99 -99.99 -99.99 \n", "815 2025.0 10.0 45945 2025.7890 -99.99 -99.99 -99.99 \n", "816 2025.0 11.0 45976 2025.8740 -99.99 -99.99 -99.99 \n", "817 2025.0 12.0 46006 2025.9562 -99.99 -99.99 -99.99 \n", "\n", " seasonally_2 CO2_2 seasonally_3 Sta date \n", "2 -99.99 -99.99 -99.99 MLO 1958-01-01 \n", "3 -99.99 -99.99 -99.99 MLO 1958-02-01 \n", "4 314.90 315.71 314.43 MLO 1958-03-01 \n", "5 314.98 317.45 315.15 MLO 1958-04-01 \n", "6 315.06 317.51 314.68 MLO 1958-05-01 \n", "7 315.14 317.27 315.14 MLO 1958-06-01 \n", "8 315.21 315.87 315.20 MLO 1958-07-01 \n", "9 315.28 314.93 316.23 MLO 1958-08-01 \n", "10 315.35 313.21 316.13 MLO 1958-09-01 \n", "11 315.40 312.41 315.40 MLO 1958-10-01 \n", "12 315.46 313.33 315.21 MLO 1958-11-01 \n", "13 315.51 314.67 315.43 MLO 1958-12-01 \n", "14 315.57 315.58 315.52 MLO 1959-01-01 \n", "15 315.63 316.49 315.83 MLO 1959-02-01 \n", "16 315.69 316.65 315.37 MLO 1959-03-01 \n", "17 315.77 317.72 315.41 MLO 1959-04-01 \n", "18 315.85 318.29 315.46 MLO 1959-05-01 \n", "19 315.94 318.15 316.00 MLO 1959-06-01 \n", "20 316.03 316.54 315.87 MLO 1959-07-01 \n", "21 316.12 314.79 316.10 MLO 1959-08-01 \n", "22 316.22 313.84 316.76 MLO 1959-09-01 \n", "23 316.31 313.33 316.35 MLO 1959-10-01 \n", "24 316.39 314.81 316.70 MLO 1959-11-01 \n", "25 316.47 315.58 316.35 MLO 1959-12-01 \n", "26 316.55 316.43 316.37 MLO 1960-01-01 \n", "27 316.64 316.98 316.33 MLO 1960-02-01 \n", "28 316.71 317.58 316.27 MLO 1960-03-01 \n", "29 316.79 319.03 316.69 MLO 1960-04-01 \n", "30 316.86 320.03 317.19 MLO 1960-05-01 \n", "31 316.92 319.59 317.44 MLO 1960-06-01 \n", ".. ... ... ... ... ... \n", "788 420.95 421.62 420.82 MLO 2023-07-01 \n", "789 421.26 419.56 421.11 MLO 2023-08-01 \n", "790 421.57 418.06 421.56 MLO 2023-09-01 \n", "791 421.88 418.41 422.01 MLO 2023-10-01 \n", "792 422.19 420.11 422.37 MLO 2023-11-01 \n", "793 422.49 421.65 422.57 MLO 2023-12-01 \n", "794 422.79 422.62 422.55 MLO 2024-01-01 \n", "795 423.08 424.34 423.56 MLO 2024-02-01 \n", "796 423.35 425.22 423.66 MLO 2024-03-01 \n", "797 423.64 426.30 423.51 MLO 2024-04-01 \n", "798 423.91 426.70 423.31 MLO 2024-05-01 \n", "799 424.19 426.62 424.07 MLO 2024-06-01 \n", "800 424.46 425.40 424.63 MLO 2024-07-01 \n", "801 424.74 422.70 424.29 MLO 2024-08-01 \n", "802 425.02 421.60 425.11 MLO 2024-09-01 \n", "803 425.28 422.05 425.65 MLO 2024-10-01 \n", "804 425.53 423.61 425.86 MLO 2024-11-01 \n", "805 425.77 425.01 425.93 MLO 2024-12-01 \n", "806 426.01 426.42 426.35 MLO 2025-01-01 \n", "807 426.24 427.00 426.21 MLO 2025-02-01 \n", "808 426.44 427.73 426.19 MLO 2025-03-01 \n", "809 426.65 429.24 426.47 MLO 2025-04-01 \n", "810 -99.99 430.20 426.80 MLO 2025-05-01 \n", "811 -99.99 -99.99 -99.99 MLO 2025-06-01 \n", "812 -99.99 -99.99 -99.99 MLO 2025-07-01 \n", "813 -99.99 -99.99 -99.99 MLO 2025-08-01 \n", "814 -99.99 -99.99 -99.99 MLO 2025-09-01 \n", "815 -99.99 -99.99 -99.99 MLO 2025-10-01 \n", "816 -99.99 -99.99 -99.99 MLO 2025-11-01 \n", "817 -99.99 -99.99 -99.99 MLO 2025-12-01 \n", "\n", "[816 rows x 12 columns]" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/conda/lib/python3.6/site-packages/ipykernel_launcher.py:2: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n", " \n" ] } ], "source": [ "df['CO2'] = pd.to_numeric(df['CO2'], errors='coerce')\n", "df = df[df['CO2'] != -99.99]\n", "df = df[['date', 'CO2']].set_index('date')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On filtre les lignes avec une vraie valeur de CO₂ (`≠ -99.99`) et on définit la colonne `date` comme index du DataFrame." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CO2
date
1958-03-01315.71
1958-04-01317.45
1958-05-01317.51
1958-07-01315.87
1958-08-01314.93
1958-09-01313.21
1958-11-01313.33
1958-12-01314.67
1959-01-01315.58
1959-02-01316.49
1959-03-01316.65
1959-04-01317.72
1959-05-01318.29
1959-06-01318.15
1959-07-01316.54
1959-08-01314.79
1959-09-01313.84
1959-10-01313.33
1959-11-01314.81
1959-12-01315.58
1960-01-01316.43
1960-02-01316.98
1960-03-01317.58
1960-04-01319.03
1960-05-01320.03
1960-06-01319.59
1960-07-01318.18
1960-08-01315.90
1960-09-01314.17
1960-10-01313.83
......
2022-12-01418.46
2023-01-01419.13
2023-02-01420.33
2023-03-01420.51
2023-04-01422.73
2023-05-01423.78
2023-06-01423.39
2023-07-01421.62
2023-08-01419.56
2023-09-01418.06
2023-10-01418.41
2023-11-01420.11
2023-12-01421.65
2024-01-01422.62
2024-02-01424.34
2024-03-01425.22
2024-04-01426.30
2024-05-01426.70
2024-06-01426.62
2024-07-01425.40
2024-08-01422.70
2024-09-01421.60
2024-10-01422.05
2024-11-01423.61
2024-12-01425.01
2025-01-01426.42
2025-02-01427.00
2025-03-01427.73
2025-04-01429.24
2025-05-01430.20
\n", "

802 rows × 1 columns

\n", "
" ], "text/plain": [ " CO2\n", "date \n", "1958-03-01 315.71\n", "1958-04-01 317.45\n", "1958-05-01 317.51\n", "1958-07-01 315.87\n", "1958-08-01 314.93\n", "1958-09-01 313.21\n", "1958-11-01 313.33\n", "1958-12-01 314.67\n", "1959-01-01 315.58\n", "1959-02-01 316.49\n", "1959-03-01 316.65\n", "1959-04-01 317.72\n", "1959-05-01 318.29\n", "1959-06-01 318.15\n", "1959-07-01 316.54\n", "1959-08-01 314.79\n", "1959-09-01 313.84\n", "1959-10-01 313.33\n", "1959-11-01 314.81\n", "1959-12-01 315.58\n", "1960-01-01 316.43\n", "1960-02-01 316.98\n", "1960-03-01 317.58\n", "1960-04-01 319.03\n", "1960-05-01 320.03\n", "1960-06-01 319.59\n", "1960-07-01 318.18\n", "1960-08-01 315.90\n", "1960-09-01 314.17\n", "1960-10-01 313.83\n", "... ...\n", "2022-12-01 418.46\n", "2023-01-01 419.13\n", "2023-02-01 420.33\n", "2023-03-01 420.51\n", "2023-04-01 422.73\n", "2023-05-01 423.78\n", "2023-06-01 423.39\n", "2023-07-01 421.62\n", "2023-08-01 419.56\n", "2023-09-01 418.06\n", "2023-10-01 418.41\n", "2023-11-01 420.11\n", "2023-12-01 421.65\n", "2024-01-01 422.62\n", "2024-02-01 424.34\n", "2024-03-01 425.22\n", "2024-04-01 426.30\n", "2024-05-01 426.70\n", "2024-06-01 426.62\n", "2024-07-01 425.40\n", "2024-08-01 422.70\n", "2024-09-01 421.60\n", "2024-10-01 422.05\n", "2024-11-01 423.61\n", "2024-12-01 425.01\n", "2025-01-01 426.42\n", "2025-02-01 427.00\n", "2025-03-01 427.73\n", "2025-04-01 429.24\n", "2025-05-01 430.20\n", "\n", "[802 rows x 1 columns]" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Oscillation périodique et tendance de fond du CO₂\n", "\n", "Le graphique ci-dessous représente la concentration mensuelle de CO₂ mesurée à l’observatoire de Mauna Loa à Hawaii depuis 1958. \n", "On observe deux composantes principales :\n", "- Une **tendance croissante lente** à long terme, liée à l’augmentation des émissions anthropiques.\n", "- Une **oscillation périodique annuelle**, due à la photosynthèse et la respiration des plantes dans l'hémisphère nord.\n", "\n", "Ce double comportement est typique des séries climatiques, où des variations saisonnières se superposent à une évolution systémique.\n", "\n" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot(figsize=(12, 5), title=\"Concentration de CO₂ à Mauna Loa (1958–...)\")\n", "plt.ylabel(\"Concentration en ppm\")\n", "plt.xlabel(\"Année\")\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Décomposition de la série temporelle : tendance, saisonnalité et résidu\n", "\n", "On interpole les valeurs manquantes de la série CO₂ pour permettre une décomposition saisonnière avec `seasonal_decompose()`.\n", "\n", "On décompose la série de concentration mensuelle de CO₂ en trois composantes : la tendance à long terme, les variations saisonnières régulières et les résidus aléatoires.\n" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "result = seasonal_decompose(df['CO2'], model='additive')\n", "trend = result.trend\n", "seasonal = result.seasonal\n", "resid = result.resid\n", "observed = result.observed\n", "\n", "fig, axs = plt.subplots(4, 1, figsize=(12, 10), sharex=True)\n", "\n", "axs[0].plot(observed, label=\"Observé\")\n", "axs[0].set_ylabel(\"CO₂ (ppm)\")\n", "axs[0].set_title(\"Série observée\")\n", "\n", "axs[1].plot(trend, label=\"Tendance\")\n", "axs[1].set_ylabel(\"Tendance (ppm)\")\n", "axs[1].set_title(\"Composante tendance\")\n", "\n", "axs[2].plot(seasonal, label=\"Saisonnalité\")\n", "axs[2].set_ylabel(\"Saison\")\n", "axs[2].set_title(\"Composante saisonnière\")\n", "\n", "axs[3].plot(resid, label=\"Résidus\")\n", "axs[3].set_ylabel(\"Résidu\")\n", "axs[3].set_title(\"Composante résiduelle\")\n", "axs[3].set_xlabel(\"Date\")\n", "\n", "fig.suptitle(\"Décomposition de la concentration mensuelle de CO₂ à Mauna Loa\", fontsize=16, y=1.02)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Modélisation de la série temporelle\n", "On ajuste un modèle polynomial à la tendance estimée et on l'extrapole jusqu'en 2025 pour valider le modèle avec des données futures.\n" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import LinearRegression\n", "from sklearn.preprocessing import PolynomialFeatures\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "trend = result.trend.dropna()\n", "X = trend.index.map(pd.Timestamp.toordinal).values.reshape(-1, 1)\n", "y = trend.values\n", "\n", "poly = PolynomialFeatures(degree=2)\n", "X_poly = poly.fit_transform(X)\n", "model = LinearRegression().fit(X_poly, y)\n", "\n", "future_dates = pd.date_range(trend.index.min(), '2025-12-01', freq='MS')\n", "X_future = future_dates.map(pd.Timestamp.toordinal).values.reshape(-1, 1)\n", "X_future_poly = poly.transform(X_future)\n", "y_future = model.predict(X_future_poly)\n", "\n", "plt.figure(figsize=(12, 5))\n", "plt.plot(trend.index, trend.values, label=\"Tendance observée\", color='green')\n", "plt.plot(future_dates, y_future, label=\"Modèle extrapolé (→ 2025)\", color='red', linestyle='--')\n", "plt.title(\"Modélisation de la tendance de la concentration de CO₂\")\n", "plt.xlabel(\"Année\")\n", "plt.ylabel(\"ppm\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Validation du modèle de tendance (polynôme degré 2)\n", "\n", "Nous avons modélisé la tendance lente de la concentration de CO₂ à Mauna Loa à l'aide d'un polynôme de degré 2. Voici les résultats de l’analyse des résidus :\n", "\n", "- **Erreur quadratique moyenne RMSE** : ≈ 0.663 ppm \n", " - Le modèle est précis à `~0.66 ppm` en moyenne par rapport aux données observées.\n", "\n", "- **Coeff de cohérence R²** : 0.9996 \n", " - Le modèle explique **plus de `99.96 %` de la variance** totale. La tendance est donc extrêmement bien capturée.\n", "\n", "- **Test de Shapiro-Wilk (Normalité)** : \n", " Le test donne une p-value < 0.05, ce qui **rejette l’hypothèse de normalité** des résidus à un seuil de 5 %. \n", " Cela indique que certains effets ne sont pas capturés par le modèle polynomial seul (ex. : périodicité, non-linéarité plus complexe). Nous alons l'analyser après.\n", "\n", "#### Analyse visuelle des résidus :\n", "- Les **résidus** ne sont pas aléatoirement répartis autour de zéro : on observe une légère forme en cloche et une dérive.\n", "- Les erreur relative entre le model et les données ne devie pas à plus de **0.5%**\n", "- L’**histogramme des résidus** confirme un **comportement asymétrique**\n", "\n", "**Conclusion** : le modèle de tendance reproduit très bien la dynamique lente du CO₂ (croissance), mais il reste des **composantes saisonnières ou structurelles** non prises en compte. \n" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "RMSE (erreur quadratique moyenne) : 0.663 ppm\n", "R² (coefficient de détermination) : 0.9996\n", "Test de Shapiro-Wilk pour normalité des résidus :\n", " W = 0.9550, p-value = 0.0000\n" ] } ], "source": [ "from sklearn.metrics import mean_squared_error, r2_score\n", "import scipy.stats as stats\n", "\n", "y_pred = model.predict(X_poly)\n", "residuals = y - y_pred.flatten()\n", "Error_relative = residuals/y_pred*100\n", "\n", "plt.figure(figsize=(10, 4))\n", "plt.plot(trend.index, residuals, label=\"Résidus\")\n", "plt.axhline(0, color='black', linestyle='--')\n", "plt.title(\"Résidus du modèle de tendance (polynôme degré 2)\")\n", "plt.xlabel(\"Date\")\n", "plt.ylabel(\"Erreur (ppm)\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "plt.figure(figsize=(10, 4))\n", "plt.plot(trend.index, Error_relative, label=\"Résidus\")\n", "plt.axhline(0, color='black', linestyle='--')\n", "plt.title(\"Erreur relative du modèle de tendance (polynôme degré 2)\")\n", "plt.xlabel(\"Date\")\n", "plt.ylabel(\"%\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.hist(residuals, bins=30, edgecolor='black')\n", "plt.title(\"Distribution des résidus\")\n", "plt.xlabel(\"Erreur\")\n", "plt.ylabel(\"Fréquence\")\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "mse = mean_squared_error(y, y_pred)\n", "r2 = r2_score(y, y_pred)\n", "shapiro_test = stats.shapiro(residuals)\n", "\n", "print(f\"RMSE (erreur quadratique moyenne) : {mse**0.5:.3f} ppm\")\n", "print(f\"R² (coefficient de détermination) : {r2:.4f}\")\n", "print(\"Test de Shapiro-Wilk pour normalité des résidus :\")\n", "print(f\" W = {shapiro_test[0]:.4f}, p-value = {shapiro_test[1]:.4f}\")\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Analyse fréquentielle de la composante saisonnière\n", "\n", "Nous avons appliqué une transformée de Fourier discrète (FFT) à la composante saisonnière extraite des données de CO₂. Le spectre de puissance montre un pic net correspondant à une **fréquence dominante** de :\n", "\n", "- **Période dominante ≈ 12 mois**\n", "\n", "Ce résultat confirme la présence d'une **oscillation annuelle**, typique du cycle saisonnier de la concentration atmosphérique de CO₂ liée à l’activité photosynthétique et aux échanges saisonniers de carbone entre la biosphère et l’atmosphère.\n" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "seasonal = result.seasonal.dropna()\n", "\n", "fft_vals = np.fft.fft(seasonal.values)\n", "fft_freqs = np.fft.fftfreq(len(seasonal), d=1)\n", "mask = fft_freqs > 0\n", "freqs = fft_freqs[mask]\n", "power = np.abs(fft_vals[mask])**2\n", "\n", "dominant_idx = np.argmax(power)\n", "dominant_freq = freqs[dominant_idx]\n", "dominant_period = 1 / dominant_freq\n", "\n", "plt.figure(figsize=(15, 7))\n", "plt.plot(freqs, power, color='darkblue', linewidth=2)\n", "plt.scatter(dominant_freq, power[dominant_idx], color='red', zorder=5)\n", "plt.axvline(dominant_freq, color='red', linestyle='--', alpha=0.7)\n", "\n", "plt.text(dominant_freq, power[dominant_idx] * 1.05,\n", " f\"Période ≈ {dominant_period:.1f} mois\", color='red',\n", " ha='center', va='bottom', fontsize=11, fontweight='bold')\n", "\n", "plt.title(\"Spectre de puissance de l’oscillation saisonnière du CO₂\", fontsize=16)\n", "plt.xlabel(\"Fréquence (1/mois)\")\n", "plt.ylabel(\"Puissance (amplitude²)\")\n", "plt.grid(True, linestyle='--', alpha=0.4)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6. Évolution de l’amplitude annuelle du cycle saisonnier\n", "\n", "Le graphique montre l’évolution de l’**amplitude du cycle saisonnier** du CO₂ (différence entre le maximum et le minimum mensuels) pour chaque année depuis le début des mesures à Mauna Loa.\n", "\n", "- On observe que l’amplitude du cycle saisonnier du CO₂ **rester globalement stable**, autour de **6.4 ppm**.\n", "- Cela suggère que les échanges saisonniers entre l’atmosphère et la biosphère **restent relativement constants** en intensité au fil des décennies." ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1959 6.401114\n", "1960 6.401114\n", "1961 6.401114\n", "1962 6.401114\n", "1963 6.401114\n", "1964 6.401114\n", "1965 6.401114\n", "1966 6.401114\n", "1967 6.401114\n", "1968 6.401114\n", "1969 6.401114\n", "1970 6.401114\n", "1971 6.401114\n", "1972 6.401114\n", "1973 6.401114\n", "1974 6.401114\n", "1975 6.401114\n", "1976 6.401114\n", "1977 6.401114\n", "1978 6.401114\n", "1979 6.401114\n", "1980 6.401114\n", "1981 6.401114\n", "1982 6.401114\n", "1983 6.401114\n", "1984 6.401114\n", "1985 6.401114\n", "1986 6.401114\n", "1987 6.401114\n", "1988 6.401114\n", " ... \n", "1995 6.401114\n", "1996 6.401114\n", "1997 6.401114\n", "1998 6.401114\n", "1999 6.401114\n", "2000 6.401114\n", "2001 6.401114\n", "2002 6.401114\n", "2003 6.401114\n", "2004 6.401114\n", "2005 6.401114\n", "2006 6.401114\n", "2007 6.401114\n", "2008 6.401114\n", "2009 6.401114\n", "2010 6.401114\n", "2011 6.401114\n", "2012 6.401114\n", "2013 6.401114\n", "2014 6.401114\n", "2015 6.401114\n", "2016 6.401114\n", "2017 6.401114\n", "2018 6.401114\n", "2019 6.401114\n", "2020 6.401114\n", "2021 6.401114\n", "2022 6.401114\n", "2023 6.401114\n", "2024 6.401114\n", "Name: CO2, Length: 66, dtype: float64\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grouped = seasonal.groupby(seasonal.index.year)\n", "complete_years = grouped.filter(lambda x: len(x) == 12).groupby(lambda x: x.year)\n", "amplitude_by_year = complete_years.apply(lambda x: x.max() - x.min())\n", "print(amplitude_by_year)\n", "plt.figure(figsize=(10, 5))\n", "amplitude_by_year.plot(marker='o')\n", "plt.title(\"Amplitude annuelle du cycle saisonnier de CO₂\")\n", "plt.xlabel(\"Année\")\n", "plt.ylabel(\"Amplitude (ppm)\")\n", "plt.grid(True, linestyle='--', alpha=0.5)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Paramètres du modèle :\n", " a0 = 51087.794\n", " a1 = -52.590\n", " a2 = 0.01362\n", " A = 2.852 ppm\n", " phi = -0.109 rad\n" ] } ], "source": [ "df_interp = df['CO2'].interpolate() \n", "t = df_interp.index.year + (df_interp.index.month - 1) / 12 \n", "y = df_interp.values\n", "\n", "def model(t, a0, a1, a2, A, phi):\n", " trend = a0 + a1 * t + a2 * t**2\n", " seasonal = A * np.sin(2 * np.pi * t + phi)\n", " return trend + seasonal\n", "\n", "popt, _ = curve_fit(model, t, y, p0=[300, 1, 0, 2, 0])\n", "\n", "t_fit = np.linspace(t.min(), t.max(), 1000)\n", "y_fit = model(t_fit, *popt)\n", "\n", "plt.figure(figsize=(12, 6))\n", "plt.plot(t, y, label=\"CO₂ observé\", alpha=0.5)\n", "plt.plot(t_fit, y_fit, label=\"Modèle : tendance + saisonnalité\", color=\"darkred\", linewidth=2)\n", "\n", "trend_only = popt[0] + popt[1] * t_fit + popt[2] * t_fit**2\n", "plt.plot(t_fit, trend_only, '--', label=\"Tendance (polynôme)\", color=\"black\")\n", "\n", "seasonal_only = popt[3] * np.sin(2 * np.pi * t_fit + popt[4])\n", "plt.plot(t_fit, seasonal_only + np.mean(y), '--', label=\"Saisonnalité (sinusoïde)\", color=\"blue\")\n", "\n", "plt.title(\"Modèle CO₂ = Tendance + Saison (sinusoïde)\", fontsize=14)\n", "plt.xlabel(\"Année\")\n", "plt.ylabel(\"CO₂ (ppm)\")\n", "plt.grid(True, linestyle='--', alpha=0.4)\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "a0, a1, a2, A, phi = popt\n", "print(f\"Paramètres du modèle :\\n a0 = {a0:.3f}\\n a1 = {a1:.3f}\\n a2 = {a2:.5f}\\n A = {A:.3f} ppm\\n phi = {phi:.3f} rad\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7. Modélisation du CO₂ : Tendance + Composante saisonnière\n", "\n", "Dans cette section, nous ajustons un modèle mathématique simple pour représenter la concentration atmosphérique de CO₂ à Mauna Loa, combinant :\n", "\n", "- **Une tendance polynomiale de degré 2** : \n", " $\\text{Tendance}(t) = a_0 + a_1 t + a_2 t^2 $\n", " \n", "- **Une oscillation saisonnière sinusoïdale** : \n", " $\\text{Saison}(t) = A \\cdot \\sin(2\\pi t + \\phi)$\n", "\n", "Le modèle complet est donc : \n", "$\\text{CO₂}(t) = a_0 + a_1 t + a_2 t^2 + A \\cdot \\sin(2\\pi t + \\phi)$\n", "\n", "#### Ajustement des paramètres\n", "Les paramètres optimisés par moindres carrés (`curve_fit`) \n", "#### Prévisions extrapolées\n", "À l’aide de ce modèle, nous prévoyons la concentration de CO₂ jusqu’en **2050**, en particulier pour les années clés :\n", "\n", "| Année | Prévision CO₂ |\n", "|-------|------------|\n", "| 2025 | 424.3 ppm |\n", "| 2030 | 437.4 ppm |\n", "| 2050 | 496.6 ppm |\n", "\n", "Nous allos considéré la limite des Accords de Paris est de 450 ppm (https://www.statistiques.developpement-durable.gouv.fr/edition-numerique/la-france-face-aux-neuf-limites-planetaires/4-changement-climatique), au-delà de laquelle les conséquences climatiques deviennent critiques." ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Prévision CO₂ pour 2025 : 424.3 ppm\n", "Prévision CO₂ pour 2030 : 437.4 ppm\n", "Prévision CO₂ pour 2050 : 496.6 ppm\n" ] } ], "source": [ "t_future = np.linspace(t_obs.min(), 2050, 1000)\n", "y_predicted = model(t_future, *popt)\n", "\n", "plt.figure(figsize=(13, 6))\n", "plt.plot(t_obs, y_obs, label=\"CO₂ observé\", alpha=0.5)\n", "plt.plot(t_future, y_predicted, label=\"Prévision jusqu'en 2050\", color='darkred', linewidth=2)\n", "\n", "plt.axhline(450, color='orange', linestyle='--', linewidth=2, label=\"Limite Accord de Paris (450 ppm)\")\n", "plt.text(2021.5, 452, \"Limite critique 450 ppm\", color='orange', fontsize=11, weight='bold')\n", "\n", "plt.axvline(2025, linestyle='--', color='gray', alpha=0.5)\n", "plt.axvline(2030, linestyle='--', color='gray', alpha=0.5)\n", "plt.axvline(2050, linestyle='--', color='gray', alpha=0.5)\n", "\n", "plt.title(\"Prévision CO₂ jusqu'en 2030 et limite des Accords de Paris (COP21)\", fontsize=14)\n", "plt.xlabel(\"Année\")\n", "plt.ylabel(\"Concentration de CO₂ (ppm)\")\n", "plt.legend()\n", "plt.grid(True, linestyle='--', alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "for year in [2025, 2030, 2050]:\n", " value = model(year, *popt)\n", " print(f\"Prévision CO₂ pour {year} : {value:.1f} ppm\")\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7. Conclusion\n", "\n", "La modélisation conjointe de la tendance de fond et du cycle saisonnier du CO₂ à Mauna Loa montre une croissance continue et inquiétante de la concentration atmosphérique. \n", "Les prévisions issues de notre ajustement indiquent :\n", "\n", "- **424.3 ppm en 2025**, \n", "- **437.4 ppm en 2030**, \n", "- **496.6 ppm en 2050**.\n", "\n", "Cela signifie que la **limite critique des Accords de Paris (450 ppm)** serait franchie **avant 2040**, si la tendance actuelle se poursuit sans inflexion majeure. \n", "Ce constat souligne l’urgence d’actions climatiques fortes pour infléchir cette courbe, stabiliser les émissions et éviter des points de bascule irréversibles.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }