{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Concentration de CO2 dans l'atmosphère depuis 1958\n", "\n", "On s'intéresse à la concentration en CO2 au cours du temps depuis 1958; les données sont disponibles sur le site web [scrippsco2.ucsd.edu](https://scrippsco2.ucsd.edu/data/atmospheric_co2/primary_mlo_co2_record.html)\n", "\n", "Commençons par importer les bibliothèques nécessaires à l'analyse" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import isoweek\n", "import os\n", "from urllib.request import urlretrieve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Chargement des données\n", "\n", "Chargeons à présent les données. On vérifie si le fichier existe avant; si il n'existe pas on le charge avec `urlretrieve`\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data_url = \"https://scrippsco2.ucsd.edu/assets/data/atmospheric/stations/in_situ_co2/monthly/monthly_in_situ_co2_mlo.csv\"\n", "data_path = \"./monthly_in_situ_co2_mlo.csv\"\n", "\n", "if not os.path.exists(data_path):\n", " urlretrieve(data_url, data_path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notons qu'un entête est présent qu'il faut supprimer (jusqu'à la ligne 60), ainsi que deux lignes 62 et 63 qui précisent le contenu de la colonne et son unité mais ne sont pas utiles ici" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def skiprows(x):\n", " return x < 61 or x in [62,63]\n", "\n", "data = pd.read_csv(data_path,skiprows=skiprows,skipinitialspace=True,na_values=\"-99.99\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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YrMnDateDate.1CO2seasonallyfitseasonally.1CO2.1seasonally.2Sta
019581212001958.0411NaNNaNNaNNaNNaNNaNMLO
119582212311958.1260NaNNaNNaNNaNNaNNaNMLO
219583212591958.2027315.71314.43316.20314.91315.71314.43MLO
319584212901958.2877317.45315.16317.30314.99317.45315.16MLO
419585213201958.3699317.51314.69317.89315.07317.51314.69MLO
519586213511958.4548NaNNaN317.27315.15317.27315.15MLO
619587213811958.5370315.87315.20315.86315.22315.87315.20MLO
719588214121958.6219314.93316.22313.96315.29314.93316.22MLO
819589214431958.7068313.21316.12312.43315.35313.21316.12MLO
9195810214731958.7890NaNNaN312.42315.41312.42315.41MLO
10195811215041958.8740313.33315.21313.60315.46313.33315.21MLO
11195812215341958.9562314.67315.43314.77315.52314.67315.43MLO
1219591215651959.0411315.58315.52315.64315.57315.58315.52MLO
1319592215961959.1260316.49315.84316.30315.64316.49315.84MLO
1419593216241959.2027316.65315.37316.99315.70316.65315.37MLO
1519594216551959.2877317.72315.41318.09315.77317.72315.41MLO
1619595216851959.3699318.29315.46318.68315.85318.29315.46MLO
1719596217161959.4548318.15316.00318.07315.94318.15316.00MLO
1819597217461959.5370316.54315.87316.67316.03316.54315.87MLO
1919598217771959.6219314.80316.09314.80316.13314.80316.09MLO
2019599218081959.7068313.84316.75313.29316.22313.84316.75MLO
21195910218381959.7890313.33316.35313.31316.31313.33316.35MLO
22195911218691959.8740314.81316.69314.53316.40314.81316.69MLO
23195912218991959.9562315.58316.35315.72316.48315.58316.35MLO
2419601219301960.0410316.43316.37316.62316.56316.43316.37MLO
2519602219611960.1257316.98316.33317.30316.64316.98316.33MLO
2619603219901960.2049317.58316.27318.04316.71317.58316.27MLO
2719604220211960.2896319.03316.70319.14316.79319.03316.70MLO
2819605220511960.3716320.03317.20319.70316.86320.03317.20MLO
2919606220821960.4563319.59317.45319.04316.93319.59317.45MLO
....................................
77420227447572022.5370418.71417.91418.94418.18418.71417.91MLO
77520228447882022.6219416.75418.30416.77418.36416.75418.30MLO
77620229448192022.7068415.42418.91415.04418.55415.42418.91MLO
777202210448492022.7890415.31418.92415.15418.74415.31418.92MLO
778202211448802022.8740417.03419.29416.71418.95417.03419.29MLO
779202212449102022.9562418.46419.38418.25419.15418.46419.38MKO
78020231449412023.0411419.13419.06419.45419.37419.13419.06MKO
78120232449722023.1260420.33419.55420.40419.61420.33419.55MKO
78220233450002023.2027420.51418.97421.39419.83420.51418.97MLO
78320234450312023.2877422.73419.96422.89420.10422.73419.96MLO
78420235450612023.3699423.78420.38423.77420.37423.78420.38MLO
78520236450922023.4548423.39420.81423.23420.66423.39420.81MLO
78620237451222023.5370421.62420.82421.73420.96421.62420.82MLO
78720238451532023.6219419.56421.12419.67421.27419.56421.12MLO
78820239451842023.7068418.06421.56418.06421.58418.06421.56MLO
789202310452142023.7890418.41422.02418.28421.88418.41422.02MLO
790202311452452023.8740420.11422.38419.95422.19420.11422.38MLO
791202312452752023.9562421.65422.57421.58422.48421.65422.57MLO
79220241453062024.0410422.62422.55422.85422.77422.62422.55MLO
79320242453372024.1257424.34423.56423.85423.06424.34423.56MLO
79420243453662024.2049425.22423.65424.91423.31425.22423.65MLO
79520244453972024.2896426.30423.50426.41423.58426.30423.50MLO
79620245454272024.3716426.70423.29427.25423.84426.70423.29MLO
79720246454582024.4563426.63424.06426.65424.11426.63424.06MLO
79820247454882024.5383425.40424.62425.10424.36425.40424.62MLO
79920248455192024.6230422.71424.30423.00424.63422.71424.30MLO
80020249455502024.7077421.60425.12NaNNaN421.60425.12MLO
801202410455802024.7896NaNNaNNaNNaNNaNNaNMLO
802202411456112024.8743NaNNaNNaNNaNNaNNaNMLO
803202412456412024.9563NaNNaNNaNNaNNaNNaNMLO
\n", "

804 rows × 11 columns

\n", "
" ], "text/plain": [ " Yr Mn Date Date.1 CO2 seasonally fit seasonally.1 \\\n", "0 1958 1 21200 1958.0411 NaN NaN NaN NaN \n", "1 1958 2 21231 1958.1260 NaN NaN NaN NaN \n", "2 1958 3 21259 1958.2027 315.71 314.43 316.20 314.91 \n", "3 1958 4 21290 1958.2877 317.45 315.16 317.30 314.99 \n", "4 1958 5 21320 1958.3699 317.51 314.69 317.89 315.07 \n", "5 1958 6 21351 1958.4548 NaN NaN 317.27 315.15 \n", "6 1958 7 21381 1958.5370 315.87 315.20 315.86 315.22 \n", "7 1958 8 21412 1958.6219 314.93 316.22 313.96 315.29 \n", "8 1958 9 21443 1958.7068 313.21 316.12 312.43 315.35 \n", "9 1958 10 21473 1958.7890 NaN NaN 312.42 315.41 \n", "10 1958 11 21504 1958.8740 313.33 315.21 313.60 315.46 \n", "11 1958 12 21534 1958.9562 314.67 315.43 314.77 315.52 \n", "12 1959 1 21565 1959.0411 315.58 315.52 315.64 315.57 \n", "13 1959 2 21596 1959.1260 316.49 315.84 316.30 315.64 \n", "14 1959 3 21624 1959.2027 316.65 315.37 316.99 315.70 \n", "15 1959 4 21655 1959.2877 317.72 315.41 318.09 315.77 \n", "16 1959 5 21685 1959.3699 318.29 315.46 318.68 315.85 \n", "17 1959 6 21716 1959.4548 318.15 316.00 318.07 315.94 \n", "18 1959 7 21746 1959.5370 316.54 315.87 316.67 316.03 \n", "19 1959 8 21777 1959.6219 314.80 316.09 314.80 316.13 \n", "20 1959 9 21808 1959.7068 313.84 316.75 313.29 316.22 \n", "21 1959 10 21838 1959.7890 313.33 316.35 313.31 316.31 \n", "22 1959 11 21869 1959.8740 314.81 316.69 314.53 316.40 \n", "23 1959 12 21899 1959.9562 315.58 316.35 315.72 316.48 \n", "24 1960 1 21930 1960.0410 316.43 316.37 316.62 316.56 \n", "25 1960 2 21961 1960.1257 316.98 316.33 317.30 316.64 \n", "26 1960 3 21990 1960.2049 317.58 316.27 318.04 316.71 \n", "27 1960 4 22021 1960.2896 319.03 316.70 319.14 316.79 \n", "28 1960 5 22051 1960.3716 320.03 317.20 319.70 316.86 \n", "29 1960 6 22082 1960.4563 319.59 317.45 319.04 316.93 \n", ".. ... .. ... ... ... ... ... ... \n", "774 2022 7 44757 2022.5370 418.71 417.91 418.94 418.18 \n", "775 2022 8 44788 2022.6219 416.75 418.30 416.77 418.36 \n", "776 2022 9 44819 2022.7068 415.42 418.91 415.04 418.55 \n", "777 2022 10 44849 2022.7890 415.31 418.92 415.15 418.74 \n", "778 2022 11 44880 2022.8740 417.03 419.29 416.71 418.95 \n", "779 2022 12 44910 2022.9562 418.46 419.38 418.25 419.15 \n", "780 2023 1 44941 2023.0411 419.13 419.06 419.45 419.37 \n", "781 2023 2 44972 2023.1260 420.33 419.55 420.40 419.61 \n", "782 2023 3 45000 2023.2027 420.51 418.97 421.39 419.83 \n", "783 2023 4 45031 2023.2877 422.73 419.96 422.89 420.10 \n", "784 2023 5 45061 2023.3699 423.78 420.38 423.77 420.37 \n", "785 2023 6 45092 2023.4548 423.39 420.81 423.23 420.66 \n", "786 2023 7 45122 2023.5370 421.62 420.82 421.73 420.96 \n", "787 2023 8 45153 2023.6219 419.56 421.12 419.67 421.27 \n", "788 2023 9 45184 2023.7068 418.06 421.56 418.06 421.58 \n", "789 2023 10 45214 2023.7890 418.41 422.02 418.28 421.88 \n", "790 2023 11 45245 2023.8740 420.11 422.38 419.95 422.19 \n", "791 2023 12 45275 2023.9562 421.65 422.57 421.58 422.48 \n", "792 2024 1 45306 2024.0410 422.62 422.55 422.85 422.77 \n", "793 2024 2 45337 2024.1257 424.34 423.56 423.85 423.06 \n", "794 2024 3 45366 2024.2049 425.22 423.65 424.91 423.31 \n", "795 2024 4 45397 2024.2896 426.30 423.50 426.41 423.58 \n", "796 2024 5 45427 2024.3716 426.70 423.29 427.25 423.84 \n", "797 2024 6 45458 2024.4563 426.63 424.06 426.65 424.11 \n", "798 2024 7 45488 2024.5383 425.40 424.62 425.10 424.36 \n", "799 2024 8 45519 2024.6230 422.71 424.30 423.00 424.63 \n", "800 2024 9 45550 2024.7077 421.60 425.12 NaN NaN \n", "801 2024 10 45580 2024.7896 NaN NaN NaN NaN \n", "802 2024 11 45611 2024.8743 NaN NaN NaN NaN \n", "803 2024 12 45641 2024.9563 NaN NaN NaN NaN \n", "\n", " CO2.1 seasonally.2 Sta \n", "0 NaN NaN MLO \n", "1 NaN NaN MLO \n", "2 315.71 314.43 MLO \n", "3 317.45 315.16 MLO \n", "4 317.51 314.69 MLO \n", "5 317.27 315.15 MLO \n", "6 315.87 315.20 MLO \n", "7 314.93 316.22 MLO \n", "8 313.21 316.12 MLO \n", "9 312.42 315.41 MLO \n", "10 313.33 315.21 MLO \n", "11 314.67 315.43 MLO \n", "12 315.58 315.52 MLO \n", "13 316.49 315.84 MLO \n", "14 316.65 315.37 MLO \n", "15 317.72 315.41 MLO \n", "16 318.29 315.46 MLO \n", "17 318.15 316.00 MLO \n", "18 316.54 315.87 MLO \n", "19 314.80 316.09 MLO \n", "20 313.84 316.75 MLO \n", "21 313.33 316.35 MLO \n", "22 314.81 316.69 MLO \n", "23 315.58 316.35 MLO \n", "24 316.43 316.37 MLO \n", "25 316.98 316.33 MLO \n", "26 317.58 316.27 MLO \n", "27 319.03 316.70 MLO \n", "28 320.03 317.20 MLO \n", "29 319.59 317.45 MLO \n", ".. ... ... ... \n", "774 418.71 417.91 MLO \n", "775 416.75 418.30 MLO \n", "776 415.42 418.91 MLO \n", "777 415.31 418.92 MLO \n", "778 417.03 419.29 MLO \n", "779 418.46 419.38 MKO \n", "780 419.13 419.06 MKO \n", "781 420.33 419.55 MKO \n", "782 420.51 418.97 MLO \n", "783 422.73 419.96 MLO \n", "784 423.78 420.38 MLO \n", "785 423.39 420.81 MLO \n", "786 421.62 420.82 MLO \n", "787 419.56 421.12 MLO \n", "788 418.06 421.56 MLO \n", "789 418.41 422.02 MLO \n", "790 420.11 422.38 MLO \n", "791 421.65 422.57 MLO \n", "792 422.62 422.55 MLO \n", "793 424.34 423.56 MLO \n", "794 425.22 423.65 MLO \n", "795 426.30 423.50 MLO \n", "796 426.70 423.29 MLO \n", "797 426.63 424.06 MLO \n", "798 425.40 424.62 MLO \n", "799 422.71 424.30 MLO \n", "800 421.60 425.12 MLO \n", "801 NaN NaN MLO \n", "802 NaN NaN MLO \n", "803 NaN NaN MLO \n", "\n", "[804 rows x 11 columns]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le fichier indique qu'à cause d'une éruption en 2022, la station MLO n'a pas pu faire de relevés et sont alors relevés par MKO. Nous nous intéresserons ici qu'à MLO et allons donc supprimer les entrées correspondantes à MKO. De plus, des NAN sont présents dans le jeux de données, on va donc supprimer les lignes correspondantes." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "data_MLO = data[data[\"Sta\"]==\"MLO\"].dropna()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Un premier affichage des données\n", "nous allons à présent pouvoir plotter les différentes courbes:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'CO2 (ppm)')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(data_MLO[\"Date.1\"],data_MLO[\"CO2\"])\n", "plt.xlabel(\"Temps (Année)\")\n", "plt.ylabel(\"CO2 (ppm)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le fichier propose aussi directement les données de la quantité de CO2 dans l'atmosphère en enlevant la composant saisonnière ; nous allons donc dans un premier temps afficher ces données déjà traitées" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'CO2 (ppm)')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(data_MLO[\"Date.1\"],data_MLO[\"seasonally\"])\n", "plt.xlabel(\"Temps (Année)\")\n", "plt.ylabel(\"CO2 (ppm)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En soustrayant les deux nous pouvons alors en déduire les variations saisonnières" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'CO2 (ppm)')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(data_MLO[\"Date.1\"],data_MLO[\"CO2\"] - data_MLO[\"seasonally\"])\n", "plt.xlabel(\"Temps (Année)\")\n", "plt.ylabel(\"CO2 (ppm)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zoomons un peu autour de 2020 - 2024 pour mieux se rendre compte des variations" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2020, 2024)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(data_MLO[\"Date.1\"],data_MLO[\"CO2\"] - data_MLO[\"seasonally\"])\n", "plt.xlabel(\"Temps (Année)\")\n", "plt.ylabel(\"CO2 (ppm)\")\n", "plt.xlim([2020,2024])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Analyse des données\n", "\n", "Bien que le fichier d'origine nous fournisse un jeu de données pré-traitées; nous allons désormais tenter de retrouver ces résultats en:\n", "- identifiant la composante lente en un polynôme de degré 2 en fonction du temps\n", "- identifiant par la suite la composante périodique en effectuant une analyse spectrale une fois la composante lente enlevée." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Composante lente\n", "\n", "on considère un polynôme de la forme $C(t) = a + b t + c t^2 + d t^3$. Nous allons appliquer une régression linéaire (grâce à [`np.linalg.lstsq`](https://numpy.org/doc/stable/reference/generated/numpy.linalg.lstsq.html))\n", "\n", "Commençons par récupérer les tableaux numpy" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "temps = np.array(data_MLO[\"Date.1\"])\n", "CO2 = np.array(data_MLO[\"CO2\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour que les temps soient de taille plus raisonnable, nous allons soustraire le temps initial à tout les temps afin de commencer à zéro:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "temps = temps - temps[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Construisons ensuite la matrice qui nous permettra d'effectuer la régression linéaire:\n", "\n", "$$ A_{i,j} = t_i^j $$\n", "\n", "Cad,\n", "$$ A = \\begin{bmatrix}\n", " ... & ... & ... \\\\\n", " 1 & 1^2 & 1^2 \\\\\n", " 1 & 1,1^2 & 1,1^2 \\\\\n", " 1 & 1,2^2 & 1,2^2 \\\\\n", " ... & ... & ...\n", " \\end{bmatrix}$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n", " [1.00000000e+00 8.50000000e-02 7.22500000e-03 6.14125000e-04]\n", " [1.00000000e+00 1.67200000e-01 2.79558400e-02 4.67421645e-03]\n", " ...\n", " [1.00000000e+00 6.62536000e+01 4.38953951e+03 2.90822795e+05]\n", " [1.00000000e+00 6.63356000e+01 4.40041183e+03 2.91903959e+05]\n", " [1.00000000e+00 6.64203000e+01 4.41165625e+03 2.93023532e+05]]\n" ] } ], "source": [ "A = np.column_stack([temps**0,temps, temps**2, temps**3])\n", "print(A)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous pouvons à présent résoudre le système linéaire: $$ Ax = b$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimation des coefficients de la régression: a = 314.165 ppm, b = 0.853 ppm/annee, c = 0.009 ppm/annee^2, d = 0.000 ppm/annee^3 \n" ] } ], "source": [ "param = np.linalg.lstsq(A,CO2,rcond=None)\n", "a,b,c, d = param[0] \n", "print(f\"Estimation des coefficients de la régression: a = {a:.3f} ppm, b = {b:.3f} ppm/annee, c = {c:.3f} ppm/annee^2, d = {d:.3f} ppm/annee^3 \" )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous allons désormais afficher le CO2 au cours du temps et y superposer notre estimation. Commençons par définir une fonction qui renvoie la composante lente:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def CO2_comp_lente(t):\n", " return a + b*t + c*t**2 + d*t**3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ajoutons une nouvelle **colonne** à notre jeu de données avec notre estimation:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "CO2_estimation_lente = CO2_comp_lente(temps)\n", "data_MLO[\"CO2_comp_lente\"] = CO2_estimation_lente" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enfin, nous pouvons afficher notre estimation:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(data_MLO[\"Date.1\"],data_MLO[\"CO2_comp_lente\"],\"--\",label=\"estimation\")\n", "plt.plot(data_MLO[\"Date.1\"],data_MLO[\"CO2\"],label=\"données\")\n", "plt.xlabel(\"Temps (Année)\")\n", "plt.ylabel(\"CO2 (ppm)\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Composante périodique\n", "\n", "Afin d'identifier la composante périodique, nous allons soustraire la composante lente à notre jeu de données et ensuite appliquer une transformée de Fourier qui permettra d'identifier la fréquence de l'oscillation" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "CO2_periode = CO2 - data_MLO[\"seasonally\"]\n", "plt.plot(data_MLO[\"Date.1\"],CO2_periode)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Afin de parvenir à ceci, nous devons tout d'abord trouver la fréquence d'échantillonnage de notre signal. Pour se faire, nous allons prendre la différence entre deux pas de temps:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.08489999999983411" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta_T = temps[5] - temps[4]\n", "delta_T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maintenant nous pouvons calculer la fft" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "hideCode": false, "hideOutput": false, "hidePrompt": true }, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Fréquence (Année$^{-1}$)')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "CO2_periode_fourier = np.log(np.absolute(np.fft.rfft(CO2_periode)))\n", "fourier_freq = np.fft.rfftfreq(CO2_periode.size,delta_T)\n", "\n", "plt.plot(fourier_freq,CO2_periode_fourier)\n", "plt.ylabel(\"Magnitude\")\n", "plt.xlabel(\"Fréquence (Année$^{-1}$)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous observons alors 4 pics distinctifs autour de 1, 2, 3 et 4 Année$^{-1}$ qui correspondent à des oscillations de longueur caractéristique une année et 1/2 année respectivement.\n", "Nous allons ainsi nous intéresser aux pics autour de ces deux fréquences\n", "\n", "Commençons par définir les bornes notre étude, \n", "0.\n", "1.5\n", "2.5\n", "3.5\n", "4.5\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "bornes = [0, 1.5, 2.5, 3.5, 4.5] \n", "indices_bornes = []\n", "for borne in bornes:\n", " indice = np.nonzero(fourier_freq > borne )[0][0]\n", " indices_bornes.append(indice)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ensuite, pour chaque composante nous allons en estimer la fréquence et afficher sur un graphe la fréquence trouvée." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "La fréquence d'oscillation est située à: 0.984 Année^-1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "La fréquence d'oscillation est située à: 1.968 Année^-1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "La fréquence d'oscillation est située à: 2.937 Année^-1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "La fréquence d'oscillation est située à: 3.921 Année^-1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def trouver_freq(borne_inf,borne_sup):\n", " indice_freq = np.argmax(CO2_periode_fourier[borne_inf:borne_sup]) + borne_inf\n", " freq_max = fourier_freq[indice_freq]\n", " amplitude_max = CO2_periode_fourier[indice_freq]\n", "\n", " print(f\"La fréquence d'oscillation est située à: {freq_max:.3f} Année^-1\")\n", " plt.plot(fourier_freq[borne_inf:borne_sup],CO2_periode_fourier[borne_inf:borne_sup])\n", " plt.plot([freq_max], [amplitude_max], \"xr\", label=\"frequence d'oscillation\")\n", " plt.ylabel(\"Amplitude\")\n", " plt.xlabel(\"Fréquence (Année$^{-1}$)\")\n", " plt.legend()\n", " plt.show()\n", " return freq_max\n", "\n", "frequences = []\n", "for i in range(len(indices_bornes) -1 ):\n", " freq = trouver_freq(indices_bornes[i], indices_bornes[i+1])\n", " frequences.append(freq)\n", "frequences = np.array(frequences)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enfin nous allons pouvoir identifier la partie périodique du signal en: $$ f(t) = \\sum_{i=1}^{3} (c_i \\cos(2\\pi f_i t) + s_i \\sin(2\\pi f_i t)) $$\n", "\n", "Comme précédemment, nous allons définir le problème $$ Ax = y$$ avec $x$ les temps, $A$ les échantillons des fonctions de base à chaque temps et $y$ les mesures de CO2 (une fois la composante lente enlevée)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1. 0. 1. ... 0. 1.\n", " 0. ]\n", " [ 0.86505184 0.50168248 0.49662938 ... 0.99999773 -0.49983773\n", " 0.86611907]\n", " [ 0.51158037 0.85923543 -0.47657104 ... 0.05590693 -0.55881747\n", " -0.82929068]\n", " ...\n", " [ 0.33487846 0.94226133 -0.77571283 ... -0.58342652 0.27776338\n", " -0.96064952]\n", " [-0.1647631 0.98633317 -0.94570624 ... -0.84435001 0.74453167\n", " 0.66758714]\n", " [-0.6359243 0.77175144 -0.19120057 ... 0.5293021 -0.9480291\n", " 0.31818365]]\n" ] } ], "source": [ "def assembler_A():\n", " tableau_colonnes = []\n", " for freq in frequences:\n", " colonne_c = np.cos(2.*np.pi * freq*temps) \n", " colonne_s = np.sin(2.*np.pi * freq*temps) \n", " tableau_colonnes.append(colonne_c)\n", " tableau_colonnes.append(colonne_s)\n", " return np.column_stack(tableau_colonnes)\n", "A = assembler_A()\n", "print(A)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enfin, nous pouvons résoudre le système linéaire" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Les paramètres estimés sont [ 0.09452084 0.1399926 -0.03944044 0.03285968 -0.00344501 0.01099435\n", " -0.00447551 0.00794855]\n" ] } ], "source": [ "w = np.linalg.lstsq(A,CO2_periode, rcond=None)[0]\n", "print(f\"Les paramètres estimés sont {w}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Définissons enfin la fonction périodique $f(t)$ grâce aux $w_i$ obtenus précédemments:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.1399926 0.03285968 0.01099435 0.00794855] [ 0.09452084 -0.03944044 -0.00344501 -0.00447551]\n" ] } ], "source": [ "w_c = np.array([w[i] for i in range(len(w)) if i%2])\n", "w_s = np.array([w[i] for i in range(len(w)) if (i-1)%2])\n", "print(w_c,w_s)\n", "def CO2_comp_periode(t):\n", " return np.dot(w_c, np.sin( 2.*np.pi * np.outer(frequences,t))) + np.dot(w_c,np.cos(2.*np.pi * np.outer(frequences,t)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enfin, nous pouvons afficher la composante périodique sur un graphe" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(temps,CO2_comp_periode(temps), label=\"estimation\")\n", "plt.plot(temps,CO2_periode, label=\"mesure\")\n", "plt.xlabel(\"Temps (Année)\")\n", "plt.ylabel(\"CO2 (ppm)\")\n", "plt.xlim(0,10)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notons que l'approximation ne semble pas convenir, cela peut provenir du pas de temps qui n'est pas suffisament régulier.\n", "\n", "Cependant nous pouvons noter que:\n", "- Une composante périodique est présente; sa fréquence fondamentale est de l'ordre d'une oscillation par année\n", "- Un certain nombre de fréquence harmoniques sont présentes (au moins 3)\n", "- L'amplitude d'oscillation est de l'ordre de 6 ppm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extrapolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enfin essayons d'afficher le taux de CO2 au cours du temps en extrapolant jusqu'à 2027." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Le taux de CO2 à l'année 2027 est 432.2 ppm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "temps_zero = np.array(data_MLO[\"Date.1\"])[0]\n", "plt.plot(temps_zero + temps,CO2, label=\"mesures\")\n", "\n", "\n", "\n", "temps_extrapol = np.hstack([temps, np.arange(temps[-1] + 0.8, temps[-1] + 3, 0.8 )])\n", "plt.plot(temps_zero + temps_extrapol, CO2_comp_lente(temps_extrapol), label=\"modèle\")\n", "plt.xlabel(\"Temps (Année)\")\n", "plt.ylabel(\"CO2 ppm)\")\n", "plt.legend()\n", "\n", "année_max = (temps[-1] + 3)\n", "print(f\"Le taux de CO2 à l'année {int(année_max + temps_zero)} est {CO2_comp_lente(année_max):.1f} ppm\")" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "data": { "text/markdown": [ "A priori le taux de CO2 tend à augmenter et devrait atteindre 432ppm en 2027." ], "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Markdown as md\n", "\n", "md(f\"A priori le taux de CO2 tend à augmenter et devrait atteindre {CO2_comp_lente(année_max):.0f}ppm en {int(année_max + temps_zero)}.\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Hide code", "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 }