From 61989f2d8bb4ad8b0936360f3acf8f40dc05ea1e Mon Sep 17 00:00:00 2001 From: e6a2acf6b1e71323e580d5754b297b60 Date: Thu, 26 Mar 2020 16:08:50 +0000 Subject: [PATCH] mise en forme des equation pour export en pdf --- ...ion de CO2 dans l'atmosph\303\250re.ipynb" | 594 +++++++++++++++++ module3/exo3/exercice.ipynb | 619 ------------------ 2 files changed, 594 insertions(+), 619 deletions(-) create mode 100644 "module3/exo3/Concentration de CO2 dans l'atmosph\303\250re.ipynb" delete mode 100644 module3/exo3/exercice.ipynb diff --git "a/module3/exo3/Concentration de CO2 dans l'atmosph\303\250re.ipynb" "b/module3/exo3/Concentration de CO2 dans l'atmosph\303\250re.ipynb" new file mode 100644 index 0000000..71269e7 --- /dev/null +++ "b/module3/exo3/Concentration de CO2 dans l'atmosph\303\250re.ipynb" @@ -0,0 +1,594 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La concentration en CO2 atmosphérique est une donnée majeure dans un contexte de changement climatique. Celle-ci est mesurée à l'observatoire de Mauna Loa, depuis 1958, à l'initiative de [Charles David Keeling](https://en.wikipedia.org/wiki/Charles_David_Keeling).\n", + "\n", + "L'analyse de la chronique de la concentration en CO2 atmosphérique a pour objectif de mettre en évidence:\n", + "1. l'évolution à long terme du signal\n", + "2. la saisonnalité du signal " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#import des packages\n", + "%matplotlib inline\n", + "import os\n", + "import urllib.request\n", + "import pandas as pd\n", + "import numpy as np\n", + "from datetime import datetime\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Importation des données" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les mesures de concentration en CO2 atmosphérique sont disponibles sur le site wet du [scripps](https://scrippsco2.ucsd.edu/data/atmospheric_co2/primary_mlo_co2_record.html). \n", + "\n", + "Les données sont téléchargées au format CSV. Ce fichier comporte une notice de 43 lignes qui seront ignorées lors de l'import. Il est structuré en deux colonnes, la date au format \"yyyy-mm-dd\" et la concentrations en CO2 en micro-mol CO2 per mol (ppm).\n", + "Le dataset a été téléchargé le 26/03/2020 et couvre la période de 29-03/1958 au 01-02-2020." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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datesCO2
01958-04-05317.31
11958-04-12317.69
21958-04-19317.58
31958-04-26316.48
41958-05-03316.95
31502019-12-28412.59
31512020-01-04413.19
31522020-01-11413.39
31532020-01-25413.36
31542020-02-01413.99
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" + ], + "text/plain": [ + " dates CO2\n", + "0 1958-04-05 317.31\n", + "1 1958-04-12 317.69\n", + "2 1958-04-19 317.58\n", + "3 1958-04-26 316.48\n", + "4 1958-05-03 316.95\n", + "3150 2019-12-28 412.59\n", + "3151 2020-01-04 413.19\n", + "3152 2020-01-11 413.39\n", + "3153 2020-01-25 413.36\n", + "3154 2020-02-01 413.99" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_url = \"https://scrippsco2.ucsd.edu/assets/data/atmospheric/\\\n", + " stations/in_situ_co2/weekly/weekly_in_situ_co2_mlo.csv\"\n", + "data_file = \"scripps-week-CO2.csv\"\n", + "\n", + "if not os.path.exists(data_file):\n", + " urllib.request.urlretrieve(data_url, data_file)\n", + " \n", + "raw_data = pd.read_csv(data_file, skiprows=44, \n", + " header=0, names=['dates' , 'CO2'])\n", + "raw_data.iloc[np.r_[0:5, -5:0]]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Conversion des dates au format datetime\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "date_list = [datetime.strptime(date, '%Y-%m-%d') for date in raw_data['dates']]\n", + "\n", + "data = pd.DataFrame()\n", + "data['dates'] = date_list\n", + "data['CO2'] = raw_data['CO2']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Appercu des données" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,4))\n", + "plt.plot(data['dates'], data['CO2']);\n", + "plt.xlabel('year');\n", + "plt.ylabel('CO2 (ppm)');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Tendance long terme" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La concentration en CO2 entre 1957 et 2017 présente une cyclicité annuelle superposée à une tendance à long terme. La tendance à long terme peut être estimée à l'aide d'une moyenne glissante. La [moyenne glissante](https://fr.wikipedia.org/wiki/Moyenne_mobile) est calculée pour chaque temps t en faisant la moyenne des n points autour tu temps t:\n", + "$$ \n", + "MoyenneGlissante(t) = \\frac{1}{n} \\sum_{i=t-\\frac{n}{2}}^{t+\\frac{n}{2}} data(i)\n", + "$$\n", + "Cette opération a pour objectif de lisser les cyclicités annuelles et donc d'isoler la tendance à long terme." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "n = 52 #taille de la fenêtre de moyenne glissante fixée à 1 an (52 semaines)\n", + "\n", + "#lissage du signal par moyenne glissante\n", + "data['trend'] = data['CO2'].rolling(n, center=True, min_periods=52).mean()\n", + "\n", + "plt.figure(figsize=(10,4))\n", + "plt.plot(data['dates'], data['CO2'], \n", + " label='signal brut', alpha=0.7, linewidth=1);\n", + "plt.plot(data['dates'], data['trend'], \n", + " label='trend', linewidth=1, color='r');\n", + "plt.xlabel('year');\n", + "plt.ylabel('CO2 (ppm)');\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Saisonnalité" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La tendance long terme étant identifiée, on peut la soustraire au signal brut pour isoler la composante saisonnière. On obtient la variation annuelle autours de la tendans long terme.\n", + "$$ Saisonnalité(t) = data(t) - MoyenneGlissante(t) $$" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data['season'] = data['CO2'] - data['trend']\n", + "\n", + "plt.figure(figsize=(10,4))\n", + "plt.plot(data['dates'], data['season'], \n", + " label='saisonnalité', linewidth=1, color='r');\n", + "plt.xlabel('year');\n", + "plt.ylabel('CO2 variation(ppm)');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La saisonnalité peut être représenter en fonction du jour de l'année. On peut alors identifier les périodes de maximum annuel (jour 100 à 150, de mars à mai) et minimum annuel (jour 270, septembre)." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "doy_list = [date.timetuple().tm_yday for date in data['dates']]\n", + "data['DOY'] = doy_list\n", + "\n", + "plt.scatter(data['DOY'], data['season'], s=1);\n", + "plt.xlabel('day of year');\n", + "plt.ylabel('CO2 variation (ppm)');\n", + "plt.grid()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Modélisation du CO2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La modélisation de la concentration en CO2 atmosphérique repose sur deux composantes: la tendance long terme qui peut être modélisée par une fonction polynomiale; la saisonnalité annuelle qui peut être modélisée par une fonction période\n", + "\n", + "La fonction polynomial adoptée semble a priori d'odre 2:\n", + "$$ \n", + "y(t) = a.t^2 + b.t + c\n", + "$$\n", + "\n", + "La fonction période peut être ajustée par un fonction du type:\n", + "$$\n", + "\\alpha cos(\\frac{2\\pi t}{365}) + \\beta sin(\\frac{2\\pi t}{365})\n", + "$$\n", + "\n", + "Ainsi, la concentration simulée (notée CO2*) est égale à:\n", + "$$ \n", + "CO2^*(t) = a.t^2 + b.t + c + \\alpha cos(\\frac{2\\pi t}{365}) + \\beta sin(\\frac{2\\pi t}{365})\n", + "$$\n", + "\n", + "L'ajustement des paramètres (a, b, c, $\\alpha$ et $\\beta$) peut être effectué par la [méthode des moindres carrés](https://fr.wikipedia.org/wiki/M%C3%A9thode_des_moindres_carr%C3%A9s).\n", + "\n", + "La variable t doit être numérique pour cete modélisation, les dates sont converties en dates *proleptic Gregorian ordinal*." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "def Simulation_co2(t,a,b,c,alpha,beta):\n", + " \"\"\"fonction de modélisation du CO2 en fonction du temps t et\n", + " des 5 paramètres\"\"\"\n", + " \n", + " co2sim = a*t**2 + b*t + c + \\\n", + " alpha * np.cos(2*np.pi*t/365) + beta*np.sin(2*np.pi*t/365)\n", + " return co2sim\n", + "\n", + "#conversion des dates en type numérique\n", + "date_num = [datetime.toordinal(date) for date in data['dates']]\n", + "data['date_num'] = date_num" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Les paramètres du modèle sont:\n", + "a : 9.750717467133496e-08\n", + "b : -0.1373113380069189\n", + "c : 48644.37669447582\n", + "alpha : -1.9895707307020227\n", + "beta : -2.0474089148616845\n" + ] + } + ], + "source": [ + "import scipy.optimize as optimization\n", + "\n", + "xdata = np.array(data['date_num'])\n", + "ydata = np.array(data['CO2'])\n", + "\n", + "# Initial guess of the parameters\n", + "x0 = np.zeros(5)\n", + "\n", + "#least squares fit des paramètres du modèle\n", + "parameters = optimization.curve_fit(Simulation_co2, xdata, ydata, x0)[0]\n", + "print(\"Les paramètres du modèle sont:\" )\n", + "print('a :', parameters[0]),\n", + "print('b :', parameters[1])\n", + "print('c :', parameters[2])\n", + "print('alpha :', parameters[3])\n", + "print('beta :', parameters[4])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les composantes lente (Trend\\*) et saisonnière (Season\\*) du modèle sont les suivantes :\n", + "$$ \n", + "Trend^*(t) = 9,75.10^{-8} t^2 - -0.137 t + 48644.376 \n", + "$$\n", + "$$\n", + "Season^*(t) = -1.990 cos(\\frac{2\\pi t}{365}) -2.047 sin(\\frac{2\\pi t}{365})\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simulation du CO2 en fonction du temps d'après le modèle construit sur la base de la tendance long terme et de la fonction période." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "CO2sim = Simulation_co2(xdata, \n", + " parameters[0],\n", + " parameters[1],\n", + " parameters[2],\n", + " parameters[3],\n", + " parameters[4])\n", + "data['CO2*'] = CO2sim\n", + "\n", + "plt.figure(figsize=(10,4))\n", + "plt.plot(data['dates'], data['CO2'], \n", + " label='CO2 mesuré', linewidth=1, alpha=0.7);\n", + "plt.plot(data['dates'], data['CO2*'], \n", + " label='CO2 simulé', linewidth=1, color='r');\n", + "plt.xlabel('year');\n", + "plt.ylabel('CO2 (ppm)');\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extrapolation de la concentration de CO2 en 2025" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le modèle reproduit bien le signal observé, on peut tenter une extrapolation jusque 2025." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#dates numeriques de la période extrapolée\n", + "end_date_str = '2026-01-01'\n", + "extra_end = datetime.toordinal(datetime.strptime(end_date_str, '%Y-%m-%d'))\n", + "dates_num_extra = np.arange(xdata[-1], extra_end)\n", + "\n", + "extrapolation = Simulation_co2(dates_num_extra, \n", + " parameters[0],\n", + " parameters[1],\n", + " parameters[2],\n", + " parameters[3],\n", + " parameters[4])\n", + "\n", + "#dates de la période extrapolée\n", + "dates_extra = [datetime.fromordinal(date) for date in dates_num_extra]\n", + "\n", + "#plot de l'observation versus simulation\n", + "plt.figure(figsize=(10,4))\n", + "plt.plot(data['dates'], data['CO2'], \n", + " label='CO2 mesuré', linewidth=1, alpha=0.7);\n", + "plt.plot(data['dates'], data['CO2*'], \n", + " label='CO2 simulé', linewidth=1, color='r');\n", + "plt.xlabel('year');\n", + "plt.ylabel('CO2 (ppm)');\n", + "\n", + "#plot de l'extrapolation\n", + "plt.plot(dates_extra, extrapolation, \n", + " label='CO2 extrapolé', linewidth=1, color='orange');\n", + "plt.legend();" + ] + }, + { + "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 +} diff --git a/module3/exo3/exercice.ipynb b/module3/exo3/exercice.ipynb deleted file mode 100644 index ee26041..0000000 --- a/module3/exo3/exercice.ipynb +++ /dev/null @@ -1,619 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Sujet 1 : Concentration de CO2 dans l'atmosphère depuis 1958\n", - "\n", - "La concentration en CO2 atmosphérique est une donnée majeure dans un contexte de changement climatique. Celle-ci est mesurée à l'observatoire de Mauna Loa, depuis 1958, à l'initiative de [Charles David Keeling](https://en.wikipedia.org/wiki/Charles_David_Keeling).\n", - "\n", - "L'analyse de la chronique de la concentration en CO2 atmosphérique a pour objectif de mettre en évidence:\n", - "1. l'évolution à long terme du signal\n", - "2. la saisonnalité du signal " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "#import des packages\n", - "%matplotlib inline\n", - "import os\n", - "import urllib.request\n", - "import pandas as pd\n", - "import numpy as np\n", - "from datetime import datetime\n", - "import matplotlib.pyplot as plt" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Les mesures de concentration en CO2 atmosphérique sont disponibles d' l'url suivante: https://scrippsco2.ucsd.edu/data/atmospheric_co2/primary_mlo_co2_record.html\n", - "\n", - "Les données on été mesurées à Mauna Loa.\n", - "![localisation du point de mesure](https://scrippsco2.ucsd.edu/assets/images/mlo_station_map.png \"Mauna Loa Observatory, Hawaii\")\n", - "\n", - "## Importation des données\n", - "Les données sont téléchargées au format CSV. Ce fichier comporte une notice de 43 lignes qui seront ignorées lors de l'import. Il est structuré en deux colonnes, la date au format \"yyyy-mm-dd\" et la concentrations en CO2 en micro-mol CO2 per mol (ppm).\n", - "Le dataset a été téléchargé le 26/03/2020 et couvre la période de 29-03/1958 au 01-02-2020." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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11958-04-12317.69
21958-04-19317.58
31958-04-26316.48
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" - ], - "text/plain": [ - " dates CO2\n", - "0 1958-04-05 317.31\n", - "1 1958-04-12 317.69\n", - "2 1958-04-19 317.58\n", - "3 1958-04-26 316.48\n", - "4 1958-05-03 316.95\n", - "3150 2019-12-28 412.59\n", - "3151 2020-01-04 413.19\n", - "3152 2020-01-11 413.39\n", - "3153 2020-01-25 413.36\n", - "3154 2020-02-01 413.99" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "data_url = \"https://scrippsco2.ucsd.edu/assets/data/atmospheric/stations/in_situ_co2/weekly/weekly_in_situ_co2_mlo.csv\"\n", - "data_file = \"scripps-week-CO2.csv\"\n", - "\n", - "if not os.path.exists(data_file):\n", - " urllib.request.urlretrieve(data_url, data_file)\n", - " \n", - "raw_data = pd.read_csv(data_file, skiprows=44, header=0, names=['dates' , 'CO2'])\n", - "raw_data.iloc[np.r_[0:5, -5:0]]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Conversion des dates au format datetime\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "date_list = [datetime.strptime(date, '%Y-%m-%d') for date in raw_data['dates']]\n", - "\n", - "data = pd.DataFrame()\n", - "data['dates'] = date_list\n", - "data['CO2'] = raw_data['CO2']" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Appercu des données" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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CO2
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mean355.395702
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min313.040000
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" - ], - "text/plain": [ - " CO2\n", - "count 3155.000000\n", - "mean 355.395702\n", - "std 28.218412\n", - "min 313.040000\n", - "25% 329.885000\n", - "50% 352.880000\n", - "75% 378.090000\n", - "max 415.080000" - ] - }, - "execution_count": 4, - "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": [ - "plt.plot(data['dates'], data['CO2']);\n", - "plt.xlabel('year');\n", - "plt.ylabel('CO2 (ppm)');\n", - "\n", - "data.describe()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Tendance long terme\n", - "La concentration en CO2 entre 1957 et 2017 présente une cyclicité annuelle superposée à une tendance à long terme. La tendance à long terme peut être estimée à l'aide d'une moyenne glissante. La [moyenne glissante](https://fr.wikipedia.org/wiki/Moyenne_mobile) est calculée pour chaque temps t en faisant la moyenne des n points autour tu temps t:\n", - "$$ \n", - "MoyenneGlissante(t) = \\frac{1}{n} \\sum_{i=t-\\frac{n}{2}}^{t+\\frac{n}{2}} data(i)\n", - "$$\n", - "Cette opération a pour objectif de lisser les cyclicités annuelles et donc d'isoler la tendance à long term." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n = 52 #taille de la fenêtre de moyenne glissante fixée à 1 an (52 semaines)\n", - "\n", - "data['trend'] = data['CO2'].rolling(n, center=True, min_periods=52).mean()\n", - "\n", - "plt.figure(figsize=(12,4))\n", - "plt.plot(data['dates'], data['CO2'], label='signal brut', alpha=0.7, linewidth=1);\n", - "plt.plot(data['dates'], data['trend'], label='trend', linewidth=1, color='r');\n", - "plt.xlabel('year');\n", - "plt.ylabel('CO2 (ppm)');\n", - "plt.legend();" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Saisonnalité\n", - "La tendance long terme étant identifiée, on peut la soustraire au signal brut pour isoler la composante saisonnière. On obtient la variation annuelle autours de la tendans long terme.\n", - "$$ Saisonnalité(t) = data(t) - MoyenneGlissante(t) $$" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "data['season'] = data['CO2'] - data['trend']\n", - "plt.figure(figsize=(12,4))\n", - "plt.plot(data['dates'], data['season'], label='saisonnalité', linewidth=1, color='r');\n", - "plt.xlabel('year');\n", - "plt.ylabel('CO2 variation(ppm)');" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "La saisonnalité peut être représenter en fonction du jour de l'année. On peut alors identifier les périodes de maximum annuel (jour 100 à 150, de mars à mai) et minimum annuel (jour 270, septembre)." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "doy_list = [date.timetuple().tm_yday for date in data['dates']]\n", - "data['DOY'] = doy_list\n", - "\n", - "plt.scatter(data['DOY'], data['season'], s=1);\n", - "plt.xlabel('day of year');\n", - "plt.ylabel('CO2 variation(ppm)');\n", - "plt.grid()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Modélisation du CO2\n", - "La modélisation de la concentration en CO2 atmosphérique repose sur deux composantes :\n", - "- la tendance long terme qui peut être modélisée par une fonction polynomiale\n", - "- la saisonnalité annuelle qui peut être modélisée par une fonction période\n", - "\n", - "La fonction polynomial adoptée semble a priori d'odre 2 ($ y(t) = a.t^2 + b.t + c$).\n", - "La fonction période peut être ajustée par un fonction du type $ \\alpha cos(\\frac{2\\pi t}{365}) + \\beta sin(\\frac{2\\pi t}{365}) $.\n", - "\n", - "Ainsi, la concentration simulée (notée CO2*) est égale à:\n", - "$$ \n", - "CO2^*(t) = a.t^2 + b.t + c + \\alpha cos(\\frac{2\\pi t}{365}) + \\beta sin(\\frac{2\\pi t}{365})\n", - "$$\n", - "\n", - "L'ajustement des paramètres (a, b, c, $\\alpha$ et $\\beta$) peut être effectué par la [méthode des moindres carrés](https://fr.wikipedia.org/wiki/M%C3%A9thode_des_moindres_carr%C3%A9s).\n", - "\n", - "La variable t doit être numérique pour cete modélisation, les dates sont converties en dates *proleptic Gregorian ordinal*." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "def Simulation_co2(t,a,b,c,alpha,beta):\n", - " co2sim = a*t**2 + b*t + c + alpha * np.cos(2*np.pi*t/365) + beta*np.sin(2*np.pi*t/365)\n", - " return co2sim\n", - "\n", - "date_num = [datetime.toordinal(date) for date in data['dates']]\n", - "data['date_num'] = date_num" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "scrolled": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Les paramètres du modèle sont:\n", - "a : 9.750717467133496e-08\n", - "b : -0.1373113380069189\n", - "c : 48644.37669447582\n", - "alpha : -1.9895707307020227\n", - "beta : -2.0474089148616845\n" - ] - } - ], - "source": [ - "import scipy.optimize as optimization\n", - "\n", - "xdata = np.array(data['date_num'])\n", - "ydata = np.array(data['CO2'])\n", - "\n", - "# Initial guess of the parameters\n", - "x0 = np.zeros(5)\n", - "\n", - "#least squares\n", - "parameters = optimization.curve_fit(Simulation_co2, xdata, ydata, x0)[0]\n", - "print(\"Les paramètres du modèle sont:\" )\n", - "print('a :', parameters[0]),\n", - "print('b :', parameters[1])\n", - "print('c :', parameters[2])\n", - "print('alpha :', parameters[3])\n", - "print('beta :', parameters[4])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Les composantes lente (Trend\\*) et saisonnière (Season\\*) du modèle sont les suivantes :\n", - "$$ \n", - "Trend^*(t) = 9,75.10^{-8} t^2 - -0.137 t + 48644.376 \n", - "$$\n", - "$$\n", - "Season^*(t) = -1.990 cos(\\frac{2\\pi t}{365}) -2.047 sin(\\frac{2\\pi t}{365})\n", - "$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Simulation du CO2 en fonction du temps d'après le modèle construit sur la base de la tendance long terme et de la fonction période." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "CO2sim = Simulation_co2(xdata, \n", - " parameters[0],\n", - " parameters[1],\n", - " parameters[2],\n", - " parameters[3],\n", - " parameters[4])\n", - "data['CO2*'] = CO2sim\n", - "\n", - "plt.figure(figsize=(12,4))\n", - "plt.plot(data['dates'], data['CO2'], label='CO2 mesuré', linewidth=1, alpha=0.7);\n", - "plt.plot(data['dates'], data['CO2*'], label='CO2 simulé', linewidth=1, color='r');\n", - "plt.xlabel('year');\n", - "plt.ylabel('CO2 (ppm)');\n", - "plt.legend();" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Le modèle reproduit bien le signal observé, on peut tenter une extrapolation jusque 2025." - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "#dates numeriques de la période extrapolée\n", - "end_date_str = '2026-01-01'\n", - "extra_end = datetime.toordinal(datetime.strptime(end_date_str, '%Y-%m-%d'))\n", - "dates_num_extra = np.arange(xdata[-1], extra_end)\n", - "\n", - "extrapolation = Simulation_co2(dates_num_extra, \n", - " parameters[0],\n", - " parameters[1],\n", - " parameters[2],\n", - " parameters[3],\n", - " parameters[4])\n", - "\n", - "#dates de la période extrapolée\n", - "dates_extra = [datetime.fromordinal(date) for date in dates_num_extra]\n", - "\n", - "#plot de l'observation versus simulation\n", - "plt.figure(figsize=(12,4))\n", - "plt.plot(data['dates'], data['CO2'], label='CO2 mesuré', linewidth=1, alpha=0.7);\n", - "plt.plot(data['dates'], data['CO2*'], label='CO2 simulé', linewidth=1, color='r');\n", - "plt.xlabel('year');\n", - "plt.ylabel('CO2 (ppm)');\n", - "\n", - "#plot de l'extrapolation\n", - "plt.plot(dates_extra, extrapolation, label='CO2 extrapolé', linewidth=1, color='orange');\n", - "plt.legend();" - ] - }, - { - "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 -} -- 2.18.1