{ "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", "$$ A = \\begin{bmatrix}\n", " ... & ... & ... \\\\\n", " 1 & 2020^2 & 2020^2 \\\\\n", " 1 & 2020,1^2 & 2020,1^2 \\\\\n", " 1 & 2020,2^2 & 2020,2^2 \\\\\n", " ... & ... & ...\n", " \\end{bmatrix}$$" ] }, { "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 \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 \" )" ] }, { "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": [ "Text(0,0.5,'CO2 (ppm)')" ] }, "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)\")" ] }, { "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 - CO2_estimation_lente\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": {}, "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.real(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(\"Amplitude\")\n", "plt.xlabel(\"Fréquence (Année$^{-1}$)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous observons alors 3 pics distinctifs autour de 1 et de 2 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 sup et inf de notre étude, la première à 0.8 et la seconde à 1.5; la troisième est à 2.5" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "borne_inf = np.nonzero(fourier_freq > 0.8)[0][0]\n", "borne_milieu = np.nonzero(fourier_freq < 1.5)[0][-1]\n", "\n", "borne_sup = np.nonzero(fourier_freq < 2.5)[0][-1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Et enfin identifier précisément la fréquence autour de 1 Année$^{-1}$" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "La fréquence d'oscillation est située à: 0.984 Année^-1\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "indice_freq_1 = np.argmax(CO2_periode_fourier[borne_inf:borne_milieu]) + borne_inf\n", "freq_max_1 = fourier_freq[indice_freq_1]\n", "amplitude_max_1 = CO2_periode_fourier[indice_freq_1]\n", "\n", "print(f\"La fréquence d'oscillation est située à: {freq_max_1:.3f} Année^-1\")\n", "plt.plot(fourier_freq[borne_inf:borne_milieu],CO2_periode_fourier[borne_inf:borne_milieu])\n", "plt.plot([freq_max_1], [amplitude_max_1], \"xr\", label=\"frequence d'oscillation\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Fréquence (Année$^{-1}$)\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous allons désormais estimer la deuxième fréquence autour de 2 Anné$^{-1}$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "La fréquence d'oscillation est située à: 1.968 Année^-1\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "indice_freq_2 = np.argmax(CO2_periode_fourier[borne_milieu:borne_sup]) + borne_milieu\n", "freq_max_2 = fourier_freq[indice_freq_2]\n", "amplitude_max_2 = CO2_periode_fourier[indice_freq_2]\n", "\n", "\n", "print(f\"La fréquence d'oscillation est située à: {freq_max_2:.3f} Année^-1\")\n", "plt.plot(fourier_freq[borne_milieu:borne_sup],CO2_periode_fourier[borne_milieu:borne_sup])\n", "plt.plot([freq_max_2], [amplitude_max_2], \"xr\", label=\"frequence d'oscillation\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Fréquence (Année$^{-1}$)\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enfin nous allons pouvoir identifier la partie périodique du signal en: $$ f(t) = w_1 \\sin(f_1 t) + w_1 \\cos(f_2 t) + w_2 \\sin(f_2 t) + w_3 \\cos(f_2 t) $$\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": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0. , 1. , 0. , 1. ],\n", " [ 0.50168248, 0.86505184, 0.86796271, 0.49662938],\n", " [ 0.85923543, 0.51158037, 0.87913596, -0.47657104],\n", " ...,\n", " [ 0.94226133, 0.33487846, 0.63108605, -0.77571283],\n", " [ 0.98633317, -0.1647631 , -0.32502262, -0.94570624],\n", " [ 0.77175144, -0.6359243 , -0.98155099, -0.19120057]])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = np.column_stack([np.sin(2.*np.pi*freq_max_1* temps), np.cos(2.*np.pi*freq_max_1*temps), \\\n", " np.sin(2.*np.pi*freq_max_2*temps), np.cos(2.*np.pi*freq_max_2*temps)])\n", "A" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enfin, nous pouvons résoudre le système linéaire" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Les paramètres estimés sont [ 6.9928053 -0.17766823 2.61154642 0.82513488]\n" ] } ], "source": [ "w = np.linalg.lstsq(A,CO2, 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": 26, "metadata": {}, "outputs": [], "source": [ "def CO2_comp_periode(t):\n", " return w[0]*np.sin(2.*np.pi*freq_max_1*t) + w[1]*np.cos(2.*np.pi*freq_max_1*t) \\\n", " + w[2]*np.sin(2.*np.pi*freq_max_2*t)+ w[3]*np.cos(2.*np.pi*freq_max_2*t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enfin, nous pouvons afficher la composante périodique sur un graphe" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "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.legend()" ] }, { "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": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "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)\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_periode(temps_extrapol) + CO2_comp_lente(temps_extrapol))" ] }, { "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 }