From 13c3aba6b4c3eec99c2929134e4f931829cc046e Mon Sep 17 00:00:00 2001 From: ae3e77eef90f964455f6062fc70dae5c Date: Sun, 12 Apr 2020 13:37:23 +0000 Subject: [PATCH] exercice_evalue_par_les_pairs version finale --- module2/exo2/exercice.ipynb | 146 +- module3/exo1/syndrome-grippal.csv | 1849 +++++++++++++++++ module3/exo2/exercice.ipynb | 2397 ++++++++++++++++++++- module3/exo2/varicelle.csv | 1531 ++++++++++++++ module3/exo3/CO2.csv | 813 ++++++++ module3/exo3/daily_CO2.csv | 3200 +++++++++++++++++++++++++++++ module3/exo3/exercice.ipynb | 1203 ++++++++++- 7 files changed, 11130 insertions(+), 9 deletions(-) create mode 100644 module3/exo1/syndrome-grippal.csv create mode 100644 module3/exo2/varicelle.csv create mode 100644 module3/exo3/CO2.csv create mode 100644 module3/exo3/daily_CO2.csv diff --git a/module2/exo2/exercice.ipynb b/module2/exo2/exercice.ipynb index 0bbbe37..7e54a9c 100644 --- a/module2/exo2/exercice.ipynb +++ b/module2/exo2/exercice.ipynb @@ -1,5 +1,146 @@ { - "cells": [], + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "14.113000000000001\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "a = [14.0, 7.6, 11.2, 12.8, 12.5, 9.9, 14.9, 9.4, 16.9, 10.2, 14.9, 18.1, 7.3, 9.8, 10.9,12.2, 9.9, 2.9, 2.8, 15.4, 15.7, 9.7, 13.1, 13.2, 12.3, 11.7, 16.0, 12.4, 17.9, 12.2, 16.2, 18.7, 8.9, 11.9, 12.1, 14.6, 12.1, 4.7, 3.9, 16.9, 16.8, 11.3, 14.4, 15.7, 14.0, 13.6, 18.0, 13.6, 19.9, 13.7, 17.0, 20.5, 9.9, 12.5, 13.2, 16.1, 13.5, 6.3, 6.4, 17.6, 19.1, 12.8, 15.5, 16.3, 15.2, 14.6, 19.1, 14.4, 21.4, 15.1, 19.6, 21.7, 11.3, 15.0, 14.3, 16.8, 14.0, 6.8, 8.2, 19.9, 20.4, 14.6, 16.4, 18.7, 16.8, 15.8, 20.4, 15.8, 22.4, 16.2, 20.3, 23.4, 12.1, 15.5, 15.4, 18.4, 15.7, 10.2, 8.9, 21.0\n", + " ]\n", + "moy = np.mean(a)\n", + "print(moy)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.334094455301447\n" + ] + } + ], + "source": [ + "ecart_type = np.std(a,ddof=1)\n", + "print(ecart_type)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.8\n" + ] + } + ], + "source": [ + "min = np.amin(a)\n", + "print(min)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "23.4\n" + ] + } + ], + "source": [ + "max = np.amax(a)\n", + "print(max)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "14.5\n" + ] + } + ], + "source": [ + "med = np.median(a)\n", + "print(med)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.hist(a, bins = 10)\n", + "plt.grid(alpha = 0.75)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +157,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - diff --git a/module3/exo1/syndrome-grippal.csv b/module3/exo1/syndrome-grippal.csv new file mode 100644 index 0000000..8041af3 --- /dev/null +++ b/module3/exo1/syndrome-grippal.csv @@ -0,0 +1,1849 @@ +# @source="réseau Sentinelles, INSERM, Sorbonne Université, http://www.sentiweb.fr", @meta={"period":[198444,202012],"geo":["PAY","1"],"geo_ref":"insee","indicator":"3","type":"all","conf_int":true,"compact":false}, @date=2020-03-30T14:02:43+02:00 +week,indicator,inc,inc_low,inc_up,inc100,inc100_low,inc100_up,geo_insee,geo_name +202012,3,10125,7199,13051,15,11,19,FR,France +202011,3,102048,93969,110127,155,143,167,FR,France +202010,3,104977,96650,113304,159,146,172,FR,France +202009,3,110696,102066,119326,168,155,181,FR,France +202008,3,143753,133984,153522,218,203,233,FR,France +202007,3,183610,172812,194408,279,263,295,FR,France +202006,3,206669,195481,217857,314,297,331,FR,France +202005,3,187957,177445,198469,285,269,301,FR,France +202004,3,122331,113492,131170,186,173,199,FR,France +202003,3,78413,71330,85496,119,108,130,FR,France +202002,3,53614,47654,59574,81,72,90,FR,France +202001,3,36850,31608,42092,56,48,64,FR,France 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{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Incidence de la varicelle" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# Import des librairies nécessaires\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import isoweek" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les données de l'incidence de la varicelle sont disponibles du site Web du [Réseau Sentinelles](http://www.sentiweb.fr/). Nous les récupérons sous forme d'un fichier en format CSV dont chaque ligne correspond à une semaine de la période demandée. Nous téléchargeons une fois le jeu de données complet, qui commence en 1984 et se termine avec une semaine récente. Ensuite, nous l'enregistrons localement, à condition qu'il n'existe pas déjà un fichier local avec ces mêmes données :" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "data_url = \"https://www.sentiweb.fr/datasets/incidence-PAY-7.csv\" # on télécharge les données sur le serveur\n", + "data_file = \"varicelle.csv\" # on leur donne un nom .csv\n", + "\n", + "import os # module qui permet de chercher des chemins locaux\n", + "import urllib.request # module qui défini des fonctions permettant d'ouvrir des URL dans des environnements complexes\n", + "if not os.path.exists(data_file): # si le fichier local n'existe pas déjà\n", + " urllib.request.urlretrieve(data_url, data_file) # alors on enregistre les données localement (via un URL local)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Voici l'explication des colonnes données [sur le site d'origine](https://ns.sentiweb.fr/incidence/csv-schema-v1.json):\n", + "\n", + "| Nom de colonne | Libellé de colonne |\n", + "|----------------|-----------------------------------------------------------------------------------------------------------------------------------|\n", + "| week | Semaine calendaire (ISO 8601) |\n", + "| indicator | Code de l'indicateur de surveillance |\n", + "| inc | Estimation de l'incidence de consultations en nombre de cas |\n", + "| inc_low | Estimation de la borne inférieure de l'IC95% du nombre de cas de consultation |\n", + "| inc_up | Estimation de la borne supérieure de l'IC95% du nombre de cas de consultation |\n", + "| inc100 | Estimation du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) |\n", + "| inc100_low | Estimation de la borne inférieure de l'IC95% du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) |\n", + "| inc100_up | Estimation de la borne supérieure de l'IC95% du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) |\n", + "| geo_insee | Code de la zone géographique concernée (Code INSEE) http://www.insee.fr/fr/methodes/nomenclatures/cog/ |\n", + "| geo_name | Libellé de la zone géographique (ce libellé peut être modifié sans préavis) |\n", + "\n", + "La première ligne du fichier CSV est un commentaire, que nous ignorons en précisant `skiprows=1`." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " week indicator inc inc_low inc_up inc100 inc100_low \\\n", + "0 202012 7 7929 5566 10292 12 8 \n", + "1 202011 7 10198 7568 12828 15 11 \n", + "2 202010 7 9011 6691 11331 14 10 \n", + "3 202009 7 13631 10544 16718 21 16 \n", + "4 202008 7 10424 7708 13140 16 12 \n", + "5 202007 7 8959 6574 11344 14 10 \n", + "6 202006 7 9264 6925 11603 14 10 \n", + "7 202005 7 8505 6314 10696 13 10 \n", + "8 202004 7 7991 5831 10151 12 9 \n", + "9 202003 7 5968 4100 7836 9 6 \n", + "10 202002 7 6534 4530 8538 10 7 \n", + "11 202001 7 9835 7019 12651 15 11 \n", + "12 201952 7 7941 5246 10636 12 8 \n", + "13 201951 7 5823 3675 7971 9 6 \n", + "14 201950 7 6424 4276 8572 10 7 \n", + "15 201949 7 6621 4540 8702 10 7 \n", + "16 201948 7 5542 3383 7701 8 5 \n", + "17 201947 7 7536 5058 10014 11 7 \n", + "18 201946 7 2638 1316 3960 4 2 \n", + "19 201945 7 4492 2615 6369 7 4 \n", + "20 201944 7 5728 3627 7829 9 6 \n", + "21 201943 7 4834 2751 6917 7 4 \n", + "22 201942 7 6279 3989 8569 10 7 \n", + "23 201941 7 4130 2030 6230 6 3 \n", + "24 201940 7 4211 2218 6204 6 3 \n", + "25 201939 7 3137 1310 4964 5 2 \n", + "26 201938 7 3078 1416 4740 5 2 \n", + "27 201937 7 970 162 1778 1 0 \n", + "28 201936 7 1277 263 2291 2 0 \n", + "29 201935 7 922 0 1857 1 0 \n", + "... ... ... ... ... ... ... ... \n", + "1499 199126 7 17608 11304 23912 31 20 \n", + "1500 199125 7 16169 10700 21638 28 18 \n", + "1501 199124 7 16171 10071 22271 28 17 \n", + "1502 199123 7 11947 7671 16223 21 13 \n", + "1503 199122 7 15452 9953 20951 27 17 \n", + "1504 199121 7 14903 8975 20831 26 16 \n", + "1505 199120 7 19053 12742 25364 34 23 \n", + "1506 199119 7 16739 11246 22232 29 19 \n", + "1507 199118 7 21385 13882 28888 38 25 \n", + "1508 199117 7 13462 8877 18047 24 16 \n", + "1509 199116 7 14857 10068 19646 26 18 \n", + "1510 199115 7 13975 9781 18169 25 18 \n", + "1511 199114 7 12265 7684 16846 22 14 \n", + "1512 199113 7 9567 6041 13093 17 11 \n", + "1513 199112 7 10864 7331 14397 19 13 \n", + "1514 199111 7 15574 11184 19964 27 19 \n", + "1515 199110 7 16643 11372 21914 29 20 \n", + "1516 199109 7 13741 8780 18702 24 15 \n", + "1517 199108 7 13289 8813 17765 23 15 \n", + "1518 199107 7 12337 8077 16597 22 15 \n", + "1519 199106 7 10877 7013 14741 19 12 \n", + "1520 199105 7 10442 6544 14340 18 11 \n", + "1521 199104 7 7913 4563 11263 14 8 \n", + "1522 199103 7 15387 10484 20290 27 18 \n", + "1523 199102 7 16277 11046 21508 29 20 \n", + "1524 199101 7 15565 10271 20859 27 18 \n", + "1525 199052 7 19375 13295 25455 34 23 \n", + "1526 199051 7 19080 13807 24353 34 25 \n", + "1527 199050 7 11079 6660 15498 20 12 \n", + "1528 199049 7 1143 0 2610 2 0 \n", + "\n", + " inc100_up geo_insee geo_name \n", + "0 16 FR France \n", + "1 19 FR France \n", + "2 18 FR France \n", + "3 26 FR France \n", + "4 20 FR France \n", + "5 18 FR France \n", + "6 18 FR France \n", + "7 16 FR France \n", + "8 15 FR France \n", + "9 12 FR France \n", + "10 13 FR France \n", + "11 19 FR France \n", + "12 16 FR France \n", + "13 12 FR France \n", + "14 13 FR France \n", + "15 13 FR France \n", + "16 11 FR France \n", + "17 15 FR France \n", + "18 6 FR France \n", + "19 10 FR France \n", + "20 12 FR France \n", + "21 10 FR France \n", + "22 13 FR France \n", + "23 9 FR France \n", + "24 9 FR France \n", + "25 8 FR France \n", + "26 8 FR France \n", + "27 2 FR France \n", + "28 4 FR France \n", + "29 2 FR France \n", + "... ... ... ... \n", + "1499 42 FR France \n", + "1500 38 FR France \n", + "1501 39 FR France \n", + "1502 29 FR France \n", + "1503 37 FR France \n", + "1504 36 FR France \n", + "1505 45 FR France \n", + "1506 39 FR France \n", + "1507 51 FR France \n", + "1508 32 FR France \n", + "1509 34 FR France \n", + "1510 32 FR France \n", + "1511 30 FR France \n", + "1512 23 FR France \n", + "1513 25 FR France \n", + "1514 35 FR France \n", + "1515 38 FR France \n", + "1516 33 FR France \n", + "1517 31 FR France \n", + "1518 29 FR France \n", + "1519 26 FR France \n", + "1520 25 FR France \n", + "1521 20 FR France \n", + "1522 36 FR France \n", + "1523 38 FR France \n", + "1524 36 FR France \n", + "1525 45 FR France \n", + "1526 43 FR France \n", + "1527 28 FR France \n", + "1528 5 FR France \n", + "\n", + "[1529 rows x 10 columns]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "raw_data = pd.read_csv(data_url, skiprows=1)\n", + "raw_data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Y a-t-il des points manquants dans ce jeux de données ? A l'inspection visuelle il ne semble pas, mais il y a beaucoup de lignes en même temps...donc dans le doute, on va supprimer les évenuelles lignes vides" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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weekindicatorincinc_lowinc_upinc100inc100_lowinc100_upgeo_inseegeo_name
02020127792955661029212816FRFrance
1202011710198756812828151119FRFrance
220201079011669111331141018FRFrance
32020097136311054416718211626FRFrance
4202008710424770813140161220FRFrance
520200778959657411344141018FRFrance
620200679264692511603141018FRFrance
720200578505631410696131016FRFrance
82020047799158311015112915FRFrance
920200375968410078369612FRFrance
10202002765344530853810713FRFrance
1120200179835701912651151119FRFrance
122019527794152461063612816FRFrance
1320195175823367579719612FRFrance
14201950764244276857210713FRFrance
15201949766214540870210713FRFrance
1620194875542338377018511FRFrance
172019477753650581001411715FRFrance
182019467263813163960426FRFrance
1920194574492261563697410FRFrance
2020194475728362778299612FRFrance
2120194374834275169177410FRFrance
22201942762793989856910713FRFrance
232019417413020306230639FRFrance
242019407421122186204639FRFrance
252019397313713104964528FRFrance
262019387307814164740528FRFrance
2720193779701621778102FRFrance
28201936712772632291204FRFrance
29201935792201857102FRFrance
.................................
14991991267176081130423912312042FRFrance
15001991257161691070021638281838FRFrance
15011991247161711007122271281739FRFrance
1502199123711947767116223211329FRFrance
1503199122715452995320951271737FRFrance
1504199121714903897520831261636FRFrance
15051991207190531274225364342345FRFrance
15061991197167391124622232291939FRFrance
15071991187213851388228888382551FRFrance
1508199117713462887718047241632FRFrance
15091991167148571006819646261834FRFrance
1510199115713975978118169251832FRFrance
1511199114712265768416846221430FRFrance
151219911379567604113093171123FRFrance
1513199112710864733114397191325FRFrance
15141991117155741118419964271935FRFrance
15151991107166431137221914292038FRFrance
1516199109713741878018702241533FRFrance
1517199108713289881317765231531FRFrance
1518199107712337807716597221529FRFrance
1519199106710877701314741191226FRFrance
1520199105710442654414340181125FRFrance
15211991047791345631126314820FRFrance
15221991037153871048420290271836FRFrance
15231991027162771104621508292038FRFrance
15241991017155651027120859271836FRFrance
15251990527193751329525455342345FRFrance
15261990517190801380724353342543FRFrance
1527199050711079666015498201228FRFrance
15281990497114302610205FRFrance
\n", + "

1529 rows × 10 columns

\n", + "
" + ], + "text/plain": [ + " week indicator inc inc_low inc_up inc100 inc100_low \\\n", + "0 202012 7 7929 5566 10292 12 8 \n", + "1 202011 7 10198 7568 12828 15 11 \n", + "2 202010 7 9011 6691 11331 14 10 \n", + "3 202009 7 13631 10544 16718 21 16 \n", + "4 202008 7 10424 7708 13140 16 12 \n", + "5 202007 7 8959 6574 11344 14 10 \n", + "6 202006 7 9264 6925 11603 14 10 \n", + "7 202005 7 8505 6314 10696 13 10 \n", + "8 202004 7 7991 5831 10151 12 9 \n", + "9 202003 7 5968 4100 7836 9 6 \n", + "10 202002 7 6534 4530 8538 10 7 \n", + "11 202001 7 9835 7019 12651 15 11 \n", + "12 201952 7 7941 5246 10636 12 8 \n", + "13 201951 7 5823 3675 7971 9 6 \n", + "14 201950 7 6424 4276 8572 10 7 \n", + "15 201949 7 6621 4540 8702 10 7 \n", + "16 201948 7 5542 3383 7701 8 5 \n", + "17 201947 7 7536 5058 10014 11 7 \n", + "18 201946 7 2638 1316 3960 4 2 \n", + "19 201945 7 4492 2615 6369 7 4 \n", + "20 201944 7 5728 3627 7829 9 6 \n", + "21 201943 7 4834 2751 6917 7 4 \n", + "22 201942 7 6279 3989 8569 10 7 \n", + "23 201941 7 4130 2030 6230 6 3 \n", + "24 201940 7 4211 2218 6204 6 3 \n", + "25 201939 7 3137 1310 4964 5 2 \n", + "26 201938 7 3078 1416 4740 5 2 \n", + "27 201937 7 970 162 1778 1 0 \n", + "28 201936 7 1277 263 2291 2 0 \n", + "29 201935 7 922 0 1857 1 0 \n", + "... ... ... ... ... ... ... ... \n", + "1499 199126 7 17608 11304 23912 31 20 \n", + "1500 199125 7 16169 10700 21638 28 18 \n", + "1501 199124 7 16171 10071 22271 28 17 \n", + "1502 199123 7 11947 7671 16223 21 13 \n", + "1503 199122 7 15452 9953 20951 27 17 \n", + "1504 199121 7 14903 8975 20831 26 16 \n", + "1505 199120 7 19053 12742 25364 34 23 \n", + "1506 199119 7 16739 11246 22232 29 19 \n", + "1507 199118 7 21385 13882 28888 38 25 \n", + "1508 199117 7 13462 8877 18047 24 16 \n", + "1509 199116 7 14857 10068 19646 26 18 \n", + "1510 199115 7 13975 9781 18169 25 18 \n", + "1511 199114 7 12265 7684 16846 22 14 \n", + "1512 199113 7 9567 6041 13093 17 11 \n", + "1513 199112 7 10864 7331 14397 19 13 \n", + "1514 199111 7 15574 11184 19964 27 19 \n", + "1515 199110 7 16643 11372 21914 29 20 \n", + "1516 199109 7 13741 8780 18702 24 15 \n", + "1517 199108 7 13289 8813 17765 23 15 \n", + "1518 199107 7 12337 8077 16597 22 15 \n", + "1519 199106 7 10877 7013 14741 19 12 \n", + "1520 199105 7 10442 6544 14340 18 11 \n", + "1521 199104 7 7913 4563 11263 14 8 \n", + "1522 199103 7 15387 10484 20290 27 18 \n", + "1523 199102 7 16277 11046 21508 29 20 \n", + "1524 199101 7 15565 10271 20859 27 18 \n", + "1525 199052 7 19375 13295 25455 34 23 \n", + "1526 199051 7 19080 13807 24353 34 25 \n", + "1527 199050 7 11079 6660 15498 20 12 \n", + "1528 199049 7 1143 0 2610 2 0 \n", + "\n", + " inc100_up geo_insee geo_name \n", + "0 16 FR France \n", + "1 19 FR France \n", + "2 18 FR France \n", + "3 26 FR France \n", + "4 20 FR France \n", + "5 18 FR France \n", + "6 18 FR France \n", + "7 16 FR France \n", + "8 15 FR France \n", + "9 12 FR France \n", + "10 13 FR France \n", + "11 19 FR France \n", + "12 16 FR France \n", + "13 12 FR France \n", + "14 13 FR France \n", + "15 13 FR France \n", + "16 11 FR France \n", + "17 15 FR France \n", + "18 6 FR France \n", + "19 10 FR France \n", + "20 12 FR France \n", + "21 10 FR France \n", + "22 13 FR France \n", + "23 9 FR France \n", + "24 9 FR France \n", + "25 8 FR France \n", + "26 8 FR France \n", + "27 2 FR France \n", + "28 4 FR France \n", + "29 2 FR France \n", + "... ... ... ... \n", + "1499 42 FR France \n", + "1500 38 FR France \n", + "1501 39 FR France \n", + "1502 29 FR France \n", + "1503 37 FR France \n", + "1504 36 FR France \n", + "1505 45 FR France \n", + "1506 39 FR France \n", + "1507 51 FR France \n", + "1508 32 FR France \n", + "1509 34 FR France \n", + "1510 32 FR France \n", + "1511 30 FR France \n", + "1512 23 FR France \n", + "1513 25 FR France \n", + "1514 35 FR France \n", + "1515 38 FR France \n", + "1516 33 FR France \n", + "1517 31 FR France \n", + "1518 29 FR France \n", + "1519 26 FR France \n", + "1520 25 FR France \n", + "1521 20 FR France \n", + "1522 36 FR France \n", + "1523 38 FR France \n", + "1524 36 FR France \n", + "1525 45 FR France \n", + "1526 43 FR France \n", + "1527 28 FR France \n", + "1528 5 FR France \n", + "\n", + "[1529 rows x 10 columns]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "raw_data[raw_data.isnull().any(axis=1)]\n", + "data = raw_data.dropna().copy()\n", + "data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nos données utilisent une convention inhabituelle: le numéro de\n", + "semaine est collé à l'année, donnant l'impression qu'il s'agit\n", + "de nombre entier. C'est comme ça que Pandas les interprète.\n", + " \n", + "Un deuxième problème est que Pandas ne comprend pas les numéros de\n", + "semaine. Il faut lui fournir les dates de début et de fin de\n", + "semaine. Nous utilisons pour cela la bibliothèque `isoweek`.\n", + "\n", + "Comme la conversion des semaines est devenu assez complexe, nous\n", + "écrivons une petite fonction Python pour cela. Ensuite, nous\n", + "l'appliquons à tous les points de nos donnés. Les résultats vont\n", + "dans une nouvelle colonne 'period'." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def convert_week(year_and_week_int):\n", + " year_and_week_str = str(year_and_week_int)\n", + " year = int(year_and_week_str[:4])\n", + " week = int(year_and_week_str[4:])\n", + " w = isoweek.Week(year, week)\n", + " return pd.Period(w.day(0), 'W')\n", + "\n", + "data['period'] = [convert_week(yw) for yw in data['week']]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il reste deux petites modifications à faire.\n", + "\n", + "Premièrement, nous définissons les périodes d'observation\n", + "comme nouvel index de notre jeux de données. Ceci en fait\n", + "une suite chronologique, ce qui sera pratique par la suite.\n", + "\n", + "Deuxièmement, nous trions les points par période, dans\n", + "le sens chronologique." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "sorted_data = data.set_index('period').sort_index()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous vérifions la cohérence des données. Entre la fin d'une période et\n", + "le début de la période qui suit, la différence temporelle doit être\n", + "zéro, ou au moins très faible. Nous laissons une \"marge d'erreur\"\n", + "d'une seconde.\n", + "\n", + "Ceci s'avère tout à fait juste, nous n'avons donc pas supprimé de semaines, les données étaient donc déjà convenables" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "periods = sorted_data.index\n", + "for p1, p2 in zip(periods[:-1], periods[1:]):\n", + " delta = p2.to_timestamp() - p1.end_time\n", + " if delta > pd.Timedelta('1s'):\n", + " print(p1, p2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Un premier regard sur les données !" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "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": [ + "sorted_data['inc'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Un zoom sur les dernières années montre mieux la situation des pics entre janvier et mars. Le creux des incidences se trouve en début septembre." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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QMNreOLDU1YmFHDrbQDkcnkjgzEwaX3jfpbjZTgNk7rS5MtlHil5qHNo95pA3DoX362cnZvDZhw/iuy+fL3capwI5zUBAFBCUhbqUA7vvTDk8dWwaFw9EsbEnhJkUz6BrFG1f58Dy9DOq4bhZGI5yaKFsJc3ebQ12BJ1jLFNktqxxMEpqPMKyAELaWTnYbiXX/aKU4q//8zgA7vdeLDnNQFD2ISwLdcUcZlOFyiGZ07AuFkBWNbhbqYFw5SDnF76KMYcWqnNgXS8lVwyB+XsrKYeAVPg2IYQg4hfb2DiUKoefnZjB/nPzALjfezFohgndpAiIAkJ+sa5sJXbfdZNCN0xkNQNBSUBvVOb3voG0vXJwV0QXxxxCLVjnoBlWRpLbVdQdqhVzKK2CjgWktjUOiTLK4YnDFxD1i9ixLsIXqEXAXENBWbCVQ/0BacCaBZHVDARlARG/iNn07Ipda7vR9srB3f6hOJVV8FmT4lop5qCVUQ5BWUBQEhAv469VdKOgOpoR8YttH3OYy2hO+u98RkNf1I/BziD3ey8C1lfJL7GYQ/1uJQBQNANZ1Wrj0hORMZ/RnPc4Z3lw4+AyDh1FygEAwn6hpbKVWG64JBQ2EuwOywXK4aUzcSRzWtmANGDVOrTqlLxasJiDYVJHRSxkNXSEJPRF/JjhMYe6Ye1ZgpJgzU+pohwePTCBl0fmChRbTjeRVQ2EZIG3dWkwbW8cCtxKwVLjEJJbaxpcuZgDYBfC2R+qlKLjA//0Ah7cO2obh1K3UiTQvjEHd/EfC+IvZK0K+96IjKSil0zQ45SHKYeA5KsZc/jvj7yOz//wCOJpFWE7HpjTjHzMwU7J5gkBjYEbB9kdc5BLHg/JraUcmOQuVgNdYdkp6ppNKTBMiumUgpxmVFAOUhsXwelOkH6uyDj0Ra3dK4871GYqmXOMQVASEJIqxxwWshriaRWvnJvHXEbF+k4r2y6Z02FS63PMlEO5rDvO4ml74+DOxCmnHFptjrSmV1AOIckp6mK9axJZ3VIOFWIO7do+I5nTsKk7DCC/EM1nNHQGJWeB4nEH4NkTM3jmRPn+UwsZDTd+4ad4YO8oAMu9G/JXjjmwViWGSWFSayIhAKdhZFASnP5M3K3XGNreODC3EiHW4JtiQnVmUKwVWLaSVEY5zKUto8B2w4msVrbOAQBigfYNSCeyGjb2WONV42mrJ1Uix9xKfIFi/O2TJ/ClJ46XfWw6lYOim3julNUoLyBZ2UZpVYdRpsfX2dlMwb83dAYAAPPMOMh5t9Jsmt/7RtD2xoEFpGMBCYKvdNpbWBZbtM6h8LX2hGWkFB2Knp9tkchpZdtnAJZyyGlm22WGUEqRUnRs6s4bh2ROB6VAR0hGb4u6lZbSnjynmxXjUgt2y/gRe9EPSD4Md4dgUqsdejFnZyzlcOOOXgD5Ik62oQnaxkUWfQXZTJyl0/bGwS/6QEhpjQMj5BdaKivHyVbylSoHwPqwxV1+dKsIrlQ5sM6s7RZ3SKsGTGpNwwvJAuJp1WlY2BGUnO6irWQcHtx7Dm/+wk8XPStBrWIcWJYXIygJ2NYXAQCcmk6VPP/sbBqDHQHctmcAALDRNs5sSFVAEkAIQV+EzzdvFG1vHAghCIhC2XgDYCuHlnIrmZAEUjC3AnAVwqVVzDsxB+ZWKqMc2rT5HktjjQYkK/23yDgEJAHRgOhkzPzo9Qt45988s6YV1qnpNMbms3ju5OIKzFTdqLixShR1AA5IArb1he3/L28cXh6JYzKRw8hsBpt6QviVa4bx9Q9fg0uHOgDk3Uqsm0FPRObKoUG0vXEALH9lR5lMJcBSDvX0e1krWMah9M/O+ivNZVSn3oEph0p1DgCQVLSycyBaFWYMowHRMQ7zWet+MfXZF/E7AelvvXAWRyYSFSftfWffKH586MIqXPnSYWm5jy/yOhXdREopH0MoTmYISgI6QzJ6IzJOTeXnZPz2N1/GH3z3AM7OpLG5JwxJ8OHtF69z1CxLnmBZhz1hmcccGgQ3DrD858wdUExYFqHqreNbV/XqxiGeVp2A9FxGA6VW9WoxbKbDk0emcPmf/RhPHJ5cwav2DnnlIJZVDoA1Y3s6pWA2peD5U7P2eeV30Pc9ewbffvHcKlz50mHppk8cniy70FeCuTDLqYdyygEAtvVFHOVgmBTxtIqnj09jNq1ic2/YeT7bsMy7spUAO7uwhWKEzYQbBwD/687L8fGbdpR9rNXadqsGLWscWH7+ZCJXssst71ayjMPD+8eQzOm4519fcRbCVobteGN2ZtJUMue44Zhx6Iv6MZNS8PihSbC1tJJxUHTT8wVzOXuRn02reHlkru7zWPJDJePgF33ot9937D22rT9vHIoNyGY7QwyASznks5XYca/fz7UCNw4ArtvSjS2uXYkb1ra7VeIOmlHeTdQRlBANiDgXzzgZIIxKRXAAcGYmjd2DMXSFJNz37JmVuWgPwRasWEDEpu4QJhMKJhM5AG7lIGNiPodvPn8WLLRTvNAx1DVgHLKqgY3dIciiD/c9e7ruzCXV1VK7mEROQywo4aKBKPyiz4mBbeuLYC6jYTalOMFmplLLKQd3thL7nvX4/VwrcONQA6Yc0i0iVVlAuhhCCDb1hDAym8FcRi1oX162fYY/39D3xp292NQTbou6h3zMQcIWO4D66ug8/KLP2c2+cVsvRB/B0QtJJ7vGrRySOc0xCJZy8LbLUtEN9EZkfPrmnXj80CQefmWszvOYcSinHHTEAiJu3NGLneuizvF8UDrtuIw+dfNO/OYNW7DdzmYCrCJOwUdK3EoByef5+7lW4MahBmG59ZRDObcSAGzqDmNkNo25jFog4ctVSLOANABcvbELIbm1utdWwh2QZmrztdH5glTo2/YM4MDnbsFLf3wTPvvOXfZ5ecP5X+97CX/xo2MArIwer+90s6rVEvu3b9yK67Z043P/fshRBZUwTOrEJ8qlOzPl8Ns3bsW//19vdo6701lZLOfy4U78ybt3F8wxB4CA6HOSRZhbiSmHpdRlcArhxqEGIX9rKYdKAWkA2NgTwkg8A82g2NRTKuHd+EWfo0Cu2tRlp/y2xj0qh26Y+PaLI5hM5JxW7pvte5TI6SWDoggh6I8GnPoRd17/+HzWcUWphvfdSjndGuMp+AjefdkgkjndWbgr4TYexTUNgOVm6whKIKRQxW7oDEIWfTg7k3b+j0o1SH5XdwP2HmXHlBrGi1Obth/2U4vOYD6LpxVQDVrSOoOxqTsEtuEqUA5l3EqEEEQDktMyIlTn/N+1yv7Refzx91+H4COIBkQQQhD2ixiIBXAhkSsxDoywLMBXNFI1pxpQdGt3q9rDarxMVjUQkPPZQACQVnQniaEcbuNQ1q2U0ws2IAyfzy5kSyolgf5iAvb7OGgXwAH5QHVOM8oWb3LqhyuHGmzossr0x+ZLS/rXIppuwl/JreT6sBYohzJuJcAyIG+7qA8A60Hl7UWuHjKqju/vP1/ilpi1q24Nkxa41JhrqSNYPhW63EjVrGZA0a3xmCbNzzTwKjnNREAsNA61uga4q6krZSvFguX3pn1RP6bqMA5+VxCaEXSMg7fv6VqgpnEghHydEDJFCHnddexzhJAxQsir9te7XI99lhBykhByjBByq+v41YSQg/ZjXya2qSeE+AkhD9rHXySEbG7sS1weHUEJUb+Isblssy+lIWiGCUksDUgDwCaXWthYQzkAwIMffSP++F2WT71SL35FNxbddqGZ/O2TJ/GpB1/DkYlkwfG4nRVz8UDU6cgK5DNoKi1ggBW8ZtlKbGayopnO7lo1TOj2lxfraXKagaBsLRUsBlerjb1SoBwK3UqUUixkNcQC5e9Zf9RSDgtZDRG/WNENylxJboXAuix73VW3FqhHOXwDwG1ljn+JUnqF/fUYABBCdgO4C8Al9jlfIYSwv9xXAdwNYIf9xX7nRwDMUUq3A/gSgC8s8bWsGBu6ghibbyHjUOHDNhALQLY/cD1h2dkhl4s5AFbGCAsShiQBqmGWBCo//dBr+K379zXq8leUhYyGbz0/AgBOTIDB8um/97E34esfvtY5vrUO4xALSk59BHMhKUX3Kqeb+PRDr+ETD+xvwCtpLFnNcCkHOwZXI0FDdRm54oB0VjOgm7RsF2SAKYcc5rNq1fvKjEJILlUOXnfVrQVqGgdK6c8AxOv8fbcDeIBSqlBKzwA4CeA6QsgggBil9Hlq6fVvAniP65z77Z+/C+AmUhylajJDXUGcbxHloFQJSPt8BMO2G607LDsfzEAFt5KbkO1ucKuHeFrF469fwMRCrtJpnuKbz591XCBTycJrjqdVhGQBYbvzJ4O5lSoFTQErs4ntnnP2/VE0o2ABzWkGzs6m8crIfENeS6OglNrKwVp0I07MofriWy3mkLA7slZWDgHMZTRMJ5Wq95VtWtwDu9wxB87yWE7M4fcIIQdst1OXfWwDgFHXc87bxzbYPxcfLziHUqoDWADQs4zrajgbOoMt5VaSKxgHwIo1+Ij1wWUf3kpuJTdsbGNGyy8Ejx4Yh25ST7pKitEME/c/fxY3bLfeelOJwv48cxkVXWX6b7Fah2qLWCwgligHVS9UDlnValJ3IZHzVNq0apgwaX7RdQekq6EUZCsVGQfbUFaLOQDA6el0Xcqh0K3ElUOjWKpx+CqAbQCuADAB4K/s4+V2/LTK8WrnlEAIuZsQso8Qsm96uvyEqZVgQ1cQSaV2+t5aQDNowc63mKs2dmJ7fwQ+H3E+mJXcSm6CZYoF//9Xx63/cw2kFT55dAozKRUfefMWdASlkrbPc2nV6T/lZmtvGH/+3kvx7svWV/zdsYDkKIesq/jNHYtRdMPpCXR2xjvJDyywW2wcagWk3YavuDgyka0eaGYtNcbms1WNLlO0Ibk05uD1IP9aYEnGgVI6SSk1KKUmgH8CcJ390HkAw66nDgEYt48PlTlecA4hRATQgQpuLErpP1JKr6GUXtPX17eUS18SGzqt4OxaVA97z8ZxeDzh/LtShTTjd9+2HY99/EYA+Z1dfcqh0K00Np/FyyNzEH2kwH3iVb6zbxT9UT/esqPP8nkXKYd4RnNqFtwQQvCB6zaWfYxhuZVs5cDcSrpRsLvOqqazGz8zky79JU2CuWfYohuus2MAMw7u185wlEMFt5I7RbZSFhiQf18WZCvJXDk0iiUZBzuGwLgDAMtk+gGAu+wMpC2wAs8vUUonACQJIdfb8YQPAnjEdc6H7J/fD+BJ6rHyxnw669ozDn/yyCH85eNHnX9XC0gDVtyBBZkd5VBPzEEuDFSembYWuB3rojWraZvNVCKHnx6bxvuuHoIoWM3gimMOc2kV3VV2sdWI2sqBUlqgHArcSpqRv3czpcNumgUzDmwBFgUf/KKvZkCaqaK+iL9yzKGScojljUM9ysFtHFjgnMcclk/NIjhCyL8BeBuAXkLIeQB/CuBthJArYLl/zgL4KABQSg8RQh4CcBiADuAeSin7K30MVuZTEMAP7S8AuA/AtwghJ2Ephrsa8cIayZBtHM7PeUfu10siq0F0DfapFpAuhhmHajEKRqioQSGbcdAf9TsjHr3KU8enYZgU77nCCoP1R/3YV9R9dC6tVlUH1YgGRJjUmiKXq2Ac5jKq08H1jIfcSllHOeQX4IhfrBlzYK+tOyzjdNHff8HVvLAcPWG3cqgWkLZjDjJXDitBTeNAKf1AmcP3VXn+vQDuLXN8H4A9ZY7nANxZ6zqaSU9YRkDyrUm3UrFvuFJX1nK8+/L1CMliydS4coSLWpuzAqa+qN/zbiW20DFfd38sgKmkAkopCCHWuEtFd6blLRa2Q07mNGRVu7ZBNwvcSu7pZd5SDtY1unfn4XqMg/0374nIeO38vHMvgXzMIVrBrSSLPmdWRqUJjYAr5lBWOXj7PbcW4O0z6oAQgvWda6/WgVKKlKIX7FC1CvMcynHZUCcuG+qs67lsx8aCqqxbZn/U7zRhE+owMs2A3R/mPuuP+qHqptMzib2W5SgHwHKnuHe0bsPNKrCDkoCzsx5SDmqpcgj7RaRqxByY4euJ+KEZtGAWeSKnISgJVRMj+iJ+yzhUdSvZMQd3QFrmRXCNgrfPqJOhrlDZweeDlGp8AAAgAElEQVReRtFNGKbl586qhrNI12scFoNTOcvcShnNqQsA4Ol0VraQMfcZC4hO23EHNja1XLZSPUQDLuXgWrTcMx5m7d5du9fH7Dne3ujlldMLA9IAEPELdaey9kase3lwbMFJjFio0jqDweIO1QPSpRXSsuADIdw4NAJuHOrkbTv7cHwyheOTydpP9gjuQOBcRnUW6ErtM5YD617ruJWyGjqDkrPgetm1pOgGBFcgnhkHlrHEmi6Wq3OoB2fedk53iuCAQuUwYyuHPetjALyTsZQraokNACFZrF0hzZSDbVB/85/3OtXfEws5DHQEq57fZxuVepSDO5WVEIKAyKfBNQJuHOrk9ivWQ/QRfO/l87Wf7BHcu7t4WnUW6HoCzItFtoevOAHpjIqOkOy4Drxc66DqhXGY/mgAADCVtBZsNm1sqcqBpWwmipVDzu1WsgzQxYOWcfBKRb6jHMSlBaR7ItY9Syo6zs6mYZgUI7MZbOwOVTsdfY5yqBKQLtN4D7AMGQ9ILx9uHOqkJ+LH2y7qx8P7x6B7eBfsJlVkHNgCXc3Xu1QIIQUDf+YzGrpCkuPC0gxPZScXoOhmwT1hLo2pIrdSV3hpqawsKyeRK4w5uBvSzaYtQ8SG3RT3dmoWLIDuVg5hv1B3nQPLPIoGRGgGxWg8g7H5LDbVMA6XrO9AT1iuapDLtc8ArFbePCC9fLhxWATvv3oDppMKXjpTb6up5lJiHOwFeiViDgDsmQ4ut1JIchZdL9c6KFqhcoj6RQQkH6Yd5bBct5I7W8ltHEqVw2BHAAHJhwse6UflFMGJ9WUrmSYFpRSKbkD0EVw+3IFfe8NG/NntlwAAnj89C8OkNZXDuy8bxN4/fkfVmQzl2mcAVmprqyiH/+8/DuPubzancSXPVloEbNZtcWsFr+LuhmkZBzvmsELGIezyRc9nNHQEZaca28sxB9UwC6rACSHoi/rx4pk4Xh6JI55WEQ1Ubh1di4BkTc1LZPUCXzgLSPtFn6NOIq4BQl7AqXOQ3QFp6+/sTk9lfPgbe7GxO4iAaGUjhWQR//OOSzFuZ/o9c8JqezNcwzgQQlCr/SYz6KES5SBAaRHjcPRCAuPzzXkvcOWwCNji4OVdsBu3cpjLqE4GSbX2Gcsh5BeQVa0JZ/MZKw1RdtxK3r1nim6UuNp++fL1ODqRxPu++jwefuX8kuMNgLXQxQISFrJa2VTWWFByJvCF/AIGOgKeUQ6KZoCQwjhVSLaK+op35/G0imdOTOPkVAqqUeiqY+3gnz0xA6BwXshSYUquWNEFZaFl3EqJrN60RozcOCwCZhx007v+czds8fERK1VSW8GANACEJGtHmVatfv1da9StBAC/f+vFePm/vwMfftNmJHI6OpfoUmJ0hWXMZ9QSt5LgI04bbEkg8IuC55SDewwnYKWyAqX9lZ45MQ1KrQVN1Qu7//p8BJu6Q0jkdEgCwUAssOxru3ZzF77zO2/EJXaGFyMg+VrGrZTIaU2bzc7dSouA7bi9vAt2w4zDYEcQc27jsAIBacDa9bpz9DuDsisg7d17plaoGo8GJHzuly/B7vUxRP3L+6h0h6yKX1m0XEyaQZHMafCLPpd7xPo/1nUEMJVQyrptVpucZpb49CvNkX76uOUySioaFN0s6cm1qSeME1MpDHWFGlIQSQjBtZu7S44HJcGp0F/rJLJa2QmLqwFXDotAXGNupbSiw0eseRSzqxBzYNlKzuxfV7aSl2MOimZWNZi/cs0w3nnpYMXH66ErLGEuoyKnGU5hVzKnQxZ9JYN0BmIBqIbp1Fc0E6Yc3JRr222aFD87brmMkrlS5QBYM8cB1AxGLxe/1BoBaUopkjkdukmbsuZw47AI5DXmVkrmdIT9InoiMubSKlR9pbOVRGQU3TEOXa46By8bVEU36mpLvhysXkFWzIEVdiVzOmTBVzKCk7lcvOBaymlGiQKIlBn4c3gigZmUgvUdASRzuh3HKbynm+ypeSttHIKS0BLzHNg4VQBNUQ/cOCwCx63k4YXOTUrREfWL6LKbmDlFcCtQIQ1YzfcymuF0ZC0MSHvXoCp6/c0Il0p3WMZcRkVGNZxmcixoy5QDcysNdNjGoYlB6YWMhpNTKWtEaCW3kitQuvesld59yyUDMEyK+YxWosZWSzm0SsyBtTYHCicsrhbcOCwC5if1sv/cTVqxlYO9MLH0PllYmV1yUBaRUQzM2cqhMyg5rTq8fM9UvbpbqRF0hWQYJsVUonAusiz6nMXXcSt1NF85fOXpk3jvV36OjGqUxhzKDPw5cH4B/VG/k+49k1JKDO4l6zuwqSeEN2wtjRM0kqDUGu0zEq4iyWYEpblxWASEEMiCD9oacSulFB2RgIiukAyT5pu7rURvJcBaNFTDxIxdPNbhUg7ediuZq+JWAqy/ibuZnCz4HLcNy9fvi/jhI8BkE5VDPKUikdNxfDJZWTm43EoHzs/jsqEOp4/UbEotMQ7dYRlP//4v1N3pd6kEbOPgsZlhi8ZdQc/dSmsASSBryq0UsWMOQN5NsWIxB3vRmFjIIiQL8IvC2ghIl8msaTTudt/ufkF+SShRDqLgQ2/E31TlkLF33jMptaAjK1AakE7mNJyeSeOyoc787ApFX7GU6VoEJAEm9fZ7rh4K3ErcOHgfUfCtmYB0KmcZB7ZrZcZhxeoc7J3v2HzW8as7jfc8/EFVdGPFFzL3oKCIX3Cm8/kFX767qD+/Qx/oCOBConmV+BmXKqjlVjo4tgBKUaAcgJVLma4Fu961XghX6FbiMQfPIwm+NbMjYcqB5aKPL1gtDFYylRUARmYzTtHYmnErrbBycFdYB2TBcbm4Yw5hVy1FfzSAqWYqB9dOtdg4iIIPASk/R/rA+QUA1nComGu620oH+SvBlM5ajzu4531wt9IaYK25lcJ+0WlBzdpAr1gRnJ1tc34ui619Vtqi5HHlQCm1W3avTswBsAKmrN20O1uJDUwCgFhQLGjMt9q4s32KYw6A5QJjbqWD5xcw3B1Ed1gumAvdLOUQdJTDGjcOuea6lXiF9CKR1ohbiVKKtKIjGhDt1tnEGXO6Ur2Vrt3chfdetQFv3dmHd9lFY15PZWUqcKV3uSHZakSn6qZlHJhyEPIV0m7lEHUtvs2gUDmUrx5nxuvIRAJ71nc4xxnNdiut9XTWArdSE14LNw6LRBLImnArZTUDJrUWHEII+iJ+jK9wQLozJOOLv3JFwTFmiBSPqi12XSttHAgh6A7JuJDIISjn5ycXKgfXQJ2AZRya1UIjqxrojfgxk1LKKodoQHSyaeIZ1XFdsg60mkFXLGW6FsFWiTlkdQTtau8sjzl4H0nwrQm3EmvXzTJg3D1wVjOLhBBiLxbeuWevjy04uzJ1lYwDkM9YcisHv+iukM7v1SJ+CYZJm7bAZVQdV2+yUk5DZfpKWcZBd1o8sFgDIcRRDysdx6mEv1ViDjkN6+zBUzxbaQ2wVtxKzCXBskf67LiD6CPwNaDp2WKQPWRQT0wmcfvf/xz3/scRAHnlsBoukG57klzQTvNl/29xbyXAUg6A1cSuGWRUA5t7wvi7X7sS771qQ8njEb+lHDKqAcOkBVlK7OdmpbIGW8StlLS7AfvF5lR8c+OwSLy2C64EMw4syMlGX66US6kakticDK/95+ZKsqTufewIDJPiB6+NI5HTnKrxlQ5IA/m5AwUxB1e2kntoDesCm2pCUNowKRTdRFAW8EuXrXcSGtywmAOLO8RctRtMRTQ75pBrUjfTRpHIaogGRGsmNlcO3kcUfJ5Oy2Q4biV7F9cfZcZh9f3XkuBbdYM6lczhvV99Dg/uPecce/bEDJ46No1fvnw9spqBR14dX7WANAD02G6lgCQ4rg9Z9OH6rT345Dt24MqNXc5zI2U6n64WLKe+eMKaG+ZWYu65csqhWamsA7EAfMRqBriWSeQ0xIISQpLA3UprAXmNuZXYIsN2f83YzcmCz+kIu1pY8xCA18fyC8QzJ6YhCz785Z2XYfdgDP/64jnHp78a98WJObjcSn7Bcit98h07C66BGfVmKAe2Sw3KlfNVogEJKVcHXnd9g+NWapJx6ArLeOO2Hjx6YGJNt9BIZK1YDlcOa4S14laasvsbsQUprxyaYBya4FaaswcOHZ1MOscSOQ0dIQl+UcC7L1+PIxMJpw/UariVeiLW3yAsi44/vtICyox6sinKwVqIwlWUA6tnmLALK8u5lZqlHADgXZcO4vRMGkcvJGs/2aNYykG0WuHzbCXvs1bcSmdn0vCLPgzaswFYzKEZu7lmFA6yQTknJpMwbaW3kNWcvka9dr8pZkRXI7Pm9ivW469/9QoMdASc/6+SUYo2UTkw41DLrQTkCysL3UrNjTkAwK2XDMBHgMcOTjTtGpZDTjOg6qajHLhbaQ2wVtxKZ2fT2NQTcjKT+tpNOdjGIaMaGJ3LAGAy3VrEmJGYSq5svyk3sYCE91xpZf64A9LlaGbMIWvPDqjlVgKAcbuw0u1WigVZtlJz6hwAoDfix/Vbe/DjQ5NNu4bl4AT6AyJCcnMm23HjsEjWilvpzEwam3vCzr97I34Q0qRspSYEpOOuGcLMteBWDuz79CoqBzfuVNZyODGHJrqV6lEOzDh4TTkAwJ4NHTg7m16TcQcW6I8FJWf87mpT869HCPk6IWSKEPK661g3IeQJQsgJ+3uX67HPEkJOEkKOEUJudR2/mhBy0H7sy8Qu+ySE+AkhD9rHXySEbG7sS2wsoody9ithmBSj8Sy29OaNgyT40B2SITchW0lugituLq06i9sx2ziw7A/AmjUBuIzDKsQc3LjbZ5R/XIAs+JrSX4ktROUqoxnMAIzNZyGLvoLmfM3OVmIMdgSg6KYzfGotMW/HzGJBCUFJ9GxA+hsAbis69kcAfkIp3QHgJ/a/QQjZDeAuAJfY53yFEMLeNV8FcDeAHfYX+50fATBHKd0O4EsAvrDUF7MaSGtg2M/4fBaqYRYYB8ByLbWLWymeUTHQEcCmnpBjHMopBxZzWO1drjuVtRJWC43VX9jqSWVlbq+xuWyBSwlofp0DY9CeqMeC5msJFssZ7graykHHmZk0Xjg9u2rXUPOvRyn9GYB40eHbAdxv/3w/gPe4jj9AKVUopWcAnARwHSFkEECMUvo8tTTeN4vOYb/ruwBuIs1oJlMn8hpwK52ZSQMANhcZh/dcuQE371636tfTDLfSXFpFd0jGReuiOHohAdOkSGQ1Z+Fi3/PKYXUXMuaPr2oc/GKTA9KVYw4sdpNWDSfGwLhkfQw710Wwtej9t9oMdAQBABPzzWt9vlRGZq042VBXyHEr/eXjR/HJB15dtWtYauO9dZTSCQCglE4QQvrt4xsAvOB63nn7mGb/XHycnTNq/y6dELIAoAfAzBKvbUVpllspmdMwl9awsaf2cPazs5ZxKFYOv/PWbStybbWw2mesrtqKp1UMd4ewpS+Mp45NI6XqMGleMYRka+DOdKo5xiGfrVTDODQjIM2Mg7+2W6n4ZwAY7g7hx59668pc3CJwlEMT52IslZHZDAZiAQQkAUFZgKKbODKRxHRKgWnSVWmB0+hPRLkrplWOVzun9JcTcjchZB8hZN/09PQSL3F5NMut9L8eP4Y7/+G5up57ZiaNkCw4tQ3NphntM+YylnLojwagGiZG49ZOjO1yCSHoCEpOLGTV3Uo1spUAy63UzJhDqErMISD5nGl27hkOXqI34ofoI7jgIbfS/c+dxcsjczWfNxrPYGO3tRFk7r0zM2kYJsVCdnVcjUv9REzariLY36fs4+cBDLueNwRg3D4+VOZ4wTmEEBFAB0rdWAAASuk/UkqvoZRe09fXt8RLXx7MrbTaGRCvnJvHZEKBotcOTJ2dSWNTT7gprZ7LIQlkVQPSlFLMZTR0hWXHQJ6cSgEonN/s/nm1m8Q5FdJVjEOzZjpkVGtsqljlnljdVy2j4C6A8xKCj2BdLOAZtxKlFPc+dgQP7R2t+dyReNrxEhSnFM+mV2d87FI/ET8A8CH75w8BeMR1/C47A2kLrMDzS7YLKkkIud6OJ3yw6Bz2u94P4Enq4dwzUfCBUisjaLVQddMJqrLirmqcmk5jS29t99Nq4RdXN+aQUa0Cou6wVGIcCvPx85W8q21I89lKVYK+gWa5lXSnU2w1ok78xpvKAbBmcU8seMM4zGc0qLpZs9NuTjMwmVAc5VCcNTaTqr0GNIJ6Uln/DcDzAC4ihJwnhHwEwOcB3EwIOQHgZvvfoJQeAvAQgMMAfgTgHkop2+p+DMDXYAWpTwH4oX38PgA9hJCTAD4NO/PJq7Bsn9UshDs+mXTcMjPJ6m+M8fkszsUzuMrVxK3ZrPbcbWZAu0KyU/x3YtI2DsFS49CMrJqucGHWVDmaGZCulqnEcJRDwJvKAbDiDhc8EnOYtAsuE9nqf1PmAi12KzFmUqujHGqafErpByo8dFOF598L4N4yx/cB2FPmeA7AnbWuwyuwrqaqYZYMXl8M8bQKUSB1fbAOjS84P8/UkJQ/P2nF8d+8o3fJ19ZoVntAEuur1B2W0W+3Dzk5XdmttNo1DgDw1p39eOSeG6omGEQCIpKKju/vP49jF1L4o3devCrXltGMOpWDWPDdiwx2BPDE4cmmTdRzc8FWMMlceeVAKcWZmTTOMePguJWsv0VHUMJCVsOsV5QDpxCmHJa72H30W/vwuUcO1fVcd2fRcm8Mw6S4838/h688dRI/PzmD3oiVwukVZNG3qjOkHeUQlhHxW+0HztrpvbEC49C8Yi3BR3D5cGfV50T9IlTdxD88fRrf2VfbT90oMoruzAGphuNW8mjMAbDSWRXddLrHNpPJBDMO5ZXDMydm8Pa/ehp/99OTAFzKwd6EXru5Cz4CzHpFOXAKaZRb6fR0uu6CtINjC7h0QwcOji0USMonDk9i9/oYDozOY+/ZObw2uoCgLOBtF/U1fZfkhrmVVmv35iiHUL4j7dnZDAjJD9EB3MrBm3skVmh29EISgo+s2v3LqItTDl52K613CuFyTofiZjGZsD67iQrK4aljVgbm/nPzCMuCM/+D1ZtcPBDDq6PzmKkj7tgIvPmp8DAicystQzmouonZtFpXvxTdMHFkIoHrtnQjIPmcXUNG1fHRb+3Dr3/tRfz9UyexoTMIUSBYyGq4Ybt3XEpAfvFdLfUQT1sfPrYYsLhD1C8W5Id3NDHmUA8R16JrmBSJVYo/ZLU6Yw5+77uVBjxUJc1iH5X+js+dmsH2/ghk0Yfh7pCzEeiP+SH4CK7c2ImesN9pM7/SePev6lFYyuNysm+mXQt8LU5Np6HoJi7d0GG9MWy30unpNEwKnLbdJX92+yVIKwa+9MRxvGVHc9J8K8HiNJphrvhCPLGQxWQiB8FHnCwaNuio2P2xVpQDYyGjVQ1gN4qMamCoaxHZSh52K63vtKqkx+abbxwm7ZiDqpvIaUZBzHImpeDohSR+/9aLsL0/AsGlENfFAnj+j96Ovqgf9z17BrOrpBy4cVgkjXArMd9jPcrh4JgVjN6zoQO9Ub/jVmKpmR9961YcPL+A9189hKAk4P1XDzk7Za/A7pmqmwiv4KVNLGRxw+efhElZF9rCduXFC2t+KE3zWktXo3hHPpdR66qQr8UXnzgOVTdLAtwvnJ7F6ek0sqqBoFRPzMH7bqX+qB8hWcDp6XSzL8XJVgKsuIPbODx/yuqZ9KZtPQXjYhkssaI34seB8/MrfKUW3Dgskka4laYSTDnUNg6vjy0gJAvY0htGb1jGuL37ODmVgo8An755Z8Hi5jXDAOTdNitd6zA+n4VJgbfs7MObt/c4x9k9KV7EHOWwyu2664Uph8uHO/Ha6DzmG1QZ+7Pj0zg/l8Ef3nZRQQzj68+ewZNHpyAKpC630mBnEKKPOIOTvAghBNv6IjhlZ6s1kwsLCoKSNZshmdMKPqvPnZpB1C/i0g0dVX9HT0T2Tp0Dp5BGuJXYgJl63Eqvjy1g92AMgo+gN+J3Yg4np1LY3BP27K7XjaMcVtg4sPzxT71jB+5+S76PVH8l5cBiDk3oVFsPQ11BRAMi7rzaai7A2jgvl4yqYyalOhsNxth8FrpJkdPMuozDL146iJ985q3O+FOvsq0v3HTloBkmZtMKtvdHABRmLBkmxZNHp/DGbT1Vq9IBSzmkFB25VRj+481PhYdppFspp5lVK60Nk+LwRAJ77N1Eb1RGPK3CNClOTqewzX6jeR3Z5VZaSVjPmWIfOJPkxd1Dva4ceiJ+HPjTW3DbngEAaFg6ZlqxFpYDo4XuCbdfvlpHVobgI9jU09zOq/WwrS+CsflsU+YwM6aTCigFdtifWXfG0s9OTGMyoeCOKzdUOt2BqbTViDt481PhYZhbaTl1DsytBKDq+L8zM2lkVMMxDj1hP3STYjat4uxM2tmFeB15lbKVmHEoVgiVlAMb+ONl9UUIQad93XMNUg5pe5F87Xy+uDKt6Jh3BbzrUQ5rBbaJaqZ6YJlK29eVKofv7BtFd1jGTbtqt9PvsYN2q1HrwI3DImmEi2TSlYqWqdI753UnGB0DAPTai9zLI3PQTYrtfWvDOEgNcMXVQ4Iph0B541B8PCKLIMS7biWGKPgQ9YsNUw4ZphxcgU2mGj70ps0gxKoubxW22Z+TZsYdWKbSjn6rOJVVSc+mFDxxeBJ3XLmhrky+Hls5rEYLDR6QXiRsIdGXsQuecvV6qRaUfn1sAX7R5xiBXvsD++IZK7NhrSgHlsqqrIJbKSgJJR+ynogff/ru3XhH0c7M5yPY0Bn0ZBC/mM6w1JCYg6qbzsbm4PkFZzbAmD157K07+/DOPQPY2ud9d1G9bOoJwUestPBmwVzJxTGH507NQjMo3nNFbZcSYMUcgNVpvseNwyIRXTn7S2UykUNf1I/ppOJI/HK8Pr6AXYMxJ0jFlMPjr18AgLUTc1ilbCX3GNBifuOGLWWPP/yxN5UMq/EinUG5IdlKzO9+8UAURy8kcWY2jW19EZy3lcNQVxDr7BhNqxCQBAx3h5qqHKZTCkQfwcbuEAjJq1xmNOpNUe6L+nHXtcPY1L3yXZe9rac9yHLdSopuYC6jYYsdyKukHEyT4tBYoiC1jZXTTyRy+MRNO0qKpLxKIzK86iGRW3yRWH8sUFeriGbTGZIw1wC3EmsBftOufgg+gi8+cRyUUozNZSEJBH0ezzxaKtv6Ijg11UTjkFTQG7EqnSOy6FRJTyUV+EVf3W3PA5KAz7/vMrxha0/tJy8TbhwWyXLdSmxm8WZ73kIl43AunkFS0Z14A2D5gf/7L+3Gv/7W9fjUzTuX9P83A2kVs5WKM5Jahc6Q3BC3Enu/7RqM4TO37MSjBybw4N5RjM1nMdgRXJXxk81gY3cI5+dWrkpa1U18+J9fwkFXkN/NdFLJ19sEJcetNJXIoT/m91QvNEZrfpJWkOW6lVjzrS29lkuoUkD6dbtN9yXr88qBEIKPvLm8e8TLMLfSysccdGzobC2XCKMrJDUkIM2UQ9gv4nfesg3PHJ/Bn//wKNZ3BrHBbjXRikQDItKqvmLNC6eSOTx1bBrXbenGpUOlhWzTKcVRZdGA6KSyTiUVp72L1+DKYZEsN/OG+Ri31FAOB8cWIAs+7PRQ6+2lMtgRQEgW8A9Pn1rR4p1EVvN0n5/l0BmUkMhpy55AyDKVwrLVhPAzt+zEQlbDkYkENnS1rnEI+0VQWj11fDlk7c+xO03djVs5RAOik61kGQdvuvK4cVgkef/50j6kbMoTW/QrFeYcGkvgooGoZzuGLobOkIy/uetKHBhbwJ888vqK/T+JKgHptU5nSAal+UDmUskrByvOcvWmLmeuRCsrh7Adn1upsavM6EwlS6fOmSbFTEotaONS4FbixqE1WK5baSSeQVdIcjJCyikHSikOji0UxBvWOjfvXodfvnw9fmr3rG80hkmRVHRPN4FbDp2hxhTCsc0IG+ZDCMFv32i5KodXIQOmWYTtpANWHd5oqimHuYwKw6QlbqWcZiCR050Kfq/BjcMiWa5baTSewcbukDM0PF1kHB7aO4qbvvg0FrKaUxndKgzEAk4V83IYm8/izv/9nBPcB/I76lZVDl324KLlprOmXTEHxrv2DOJLv3o53nXpwLJ+t5dhrze9QsohYyuHyTLKgdUk9NmxhaitHNj716t1Ntw4LJL8bIKluZVGZjPY2BOGz0esDo1FbqXv7x9DMqfjnl/Yhl+6bP2yr9dLdIQkp5f9cth/bg57z87hpTNx5xgL8LWqcWDKYbkZS2wzwtxKgFUMeMeVQ3X1U1qrRFbYOORcyoHSwrWh2AjEgiKSOd2JP3K3UotACIHoI0tSDpphYmw+6xSwhP1CiXKYSSm4emMXfv/Wi1tuoWOvZ7lZN2xG9ElX3nqlpnutQidTDsu8dxlFByFwlGu74CiHFWq+x2IOim5iIavhUw++iscPWcWq0ynLCOQD0hIMk+LsrBV/5NlKLYQk+JZkHMbnszBM6lRDBmXB8VUyZlIKeqOt09fGDTMOy3Utzdoy3V3xWqnpXqvQqHuXUgyEZdGTefUryUrHHNyxw5fOxPH9/WP43W+/gscOTpQoB/a3ZL3T+mNcObQMokCW5FYasXcKjnKQxQKZqxkm5jKa0z+l1WjUAldOObBZDq1qHNjUteQy50hnVL2lOq7WSyNiDpphVtwUul2lTx+3ki6GuoL41IOv4tRUGkFJcAzUG+3q5odfOQ/RR9Ad8uZmkBuHJSAvUTmM2GmsrAd+UBYK8q7ZoteqxqEzaH0IGmUcTs+kYNp5/3m3Umv6zSXBh4Dkc/Ljl0pK0ddM25VG0ohU1k8/9Bo+/m/7yz7m9gA8dWwago/g8++9DIpu4j8OjKMvmq+C3twbxuVDHUjkdPRG/J6tSufGYQks1a00Gs9AFn1OAKpYOTD52arGIR9zWF5QdTZt3aecZjqtplvdrTly5XAAABg8SURBVATks1yWQ0Y1EPK3oXKwd+31jOatxLELCbw2Wn5+c8a1yRubz2Jrbxhv2NKNwY4A0qpRMkr1l+0urF51KQHcOCwJUSBL6q00MpvGxu6Qs1MIyULBm3U6xXyT3pSZy6WRbiXWhJDFHRI5DZJAWjrQalXWLs84pBTdqXFoJ0TBB7/oW5ZbaTqpYCKRg6KXGpisaiAaEB0jtGswBp+P4J17BgGUpqv+0mWDIMS7mUoANw5LQhZ8S+rKOjKbKWi1W2wcZlpcOUQDYkG74qUST6u4ZnMXgHzcgbXrbuVAazQgFYyXXAoZVS+ocWgnIn5xyW4lFg+kFBiNlzbwy2kGgpLgFLTtGrQKWFntSLFxWBcL4ONv34E7rhxa0vWsBtw4LAFJ8C1aOWRUHSenUrhoIN8rKeQXC41DqrVjDj4fQSwgLUs5mCbFXEbDjv4oukKSM8BlIau1bHU0I9YA5ZBWjLY1DiG/sGS30qxruM65eBr//PMz+PwPjzrHMqqBkCw4RmDXoPU5v2pjF266uB9v3t5X8js/dfNO/OJlg0u6ntWgPd8ly8TKVlqccth/bh66SXHtlm7nWEgSCnorzaQUK6uhhT+8HcHlGYeFrNV8rjssY0d/FEcmEgCAE5NJDLVw+wfAUl7j88trO51WdMf10W6E5aUrB/dYzpHZDP7lhRHMplX84W0XgRCCrGYgIAmOm2i3rRx8PoL7Pnzt8i++CXDlsASkJbiVXjoTh49Yjc4YTDmwjJtWrnFgdASlZbWAmLUzlXoiMq7b0o2DYws4N5vB8ckU3uAyvK1I1L/8gHRaaW+30lJjDu5WLQfPL+DUdBrzGc15P+Y0A0FZwGVDHbhoXdSzLTEWw7KMAyHkLCHkICHkVULIPvtYNyHkCULICft7l+v5nyWEnCSEHCOE3Oo6frX9e04SQr5MPO44lpfgVnrpTBy7BmMFrg+Wb56zA1wzKaVlXUqM5SoHlsbaHZZxw/ZeGCbF3z55AgBa3zgs061kmhQZzWhb5RDyiyUdCeqFJYvEAqJT+QzkY15Z261091u24UefvLElYl+NUA6/QCm9glJ6jf3vPwLwE0rpDgA/sf8NQshuAHcBuATAbQC+Qghh79KvArgbwA7767YGXNeKsVi3kqqb2D86h2s3Fy5exVWbM0m19Y1DaLnGwfqQdodlXLWpEwHJh4f3j8Ev+nDZUGejLtOTRAMSspoBfYlNH7OaAUrRxspBWLZyuGpTV4GBYcYhoxpOplwrGAZgZdxKtwO43/75fgDvcR1/gFKqUErPADgJ4DpCyCCAGKX0eWp1rPqm6xxPstg6h9fHF5DTTFxXtLMN2imFrICmXZTDcrKVWNC+J+yHXxRw3ZYeGCbFVRu7WmL2RTUigeUVcrG+QqE2NQ7FdUWLYSalIOIXnYSSiweiCMmCk0qds2MOrcRyP00UwI8JIS8TQu62j62jlE4AgP293z6+AcCo69zz9rEN9s/Fxz2LZRzqdysdHreCplcMF+5sHeWg6tANE/GMir5IG8QcMlpJ58pqvDwSx9kZKyuJuZW6wpZ77s3brVYEb9ja2i4lYPktNPJT4FprEauX8DJjDr0RGZu6re4GV23qwta+cN6tpBkt15ZkucbhBkrpVQDeCeAeQshbqjy3nNaiVY6X/gJC7iaE7COE7JueXpmhMfUgLdKtxBa04iBVNJAf4BLPqKAU6G2BQFY1OoISdJMuKqXw4//2Kr70n8cBWPcy6hfhF60P4s27B9AVkvCOXetW5Hq9RMw2DkutdUiVmeXQTrAuyIvZmDDYmM/NdtPMK4c7sb0vglNl3EqtwrKMA6V03P4+BeD7AK4DMGm7imB/n7Kffh7AsOv0IQDj9vGhMsfL/X//SCm9hlJ6TV9fad7warFYtxJb0NigIMaOdREAwPELScwkW7vGgdG5yCppw6S4kMg5Pt/ZtIpul7ra0hvG/j+5peUGI5WDbSaWrBzYLIc2rJAGLKNomBSKvviYzUzKMg7XbenGf/vFXfily9Zje38E4ws5pBXdSmXlysGCEBImhETZzwBuAfA6gB8A+JD9tA8BeMT++QcA7iKE+AkhW2AFnl+yXU9JQsj1dpbSB13neJLOkITZlFr3DmQ+o6IrXOou6o/60R2WcWQiiWOTlutps92Ur1VZbAuNeNoascjUVzytoLvMvWwHlutWYj2tWrU5YS2WM/DHciv5IQo+/NaNWxGUBWzvtzZ3J6ZSUHUTIam17utyXs06AN+3I/MigH+llP6IELIXwEOEkI8AOAfgTgCglB4ihDwE4DAAHcA9lFLmW/gYgG8ACAL4of3lWbb0hpFUdEynlLoGdcQzGrpCpdW7hBDsGoziyIUEZNFXEPBqVRZrHNjAdpZPPptSMdQVXJmL8zh55bA0t9LEgnUvBzva8/6xSXdpxUBPpP7zFN2a9dxXpOq39Vm/5NC4NZchKLdWQsSSjQOl9DSAy8scnwVwU4Vz7gVwb5nj+wDsWeq1rDZb7TfF6el0XcZhPqNW3O3uGojhWy+MQNFMXLmxE4JH2/c2itgip8Gxge3xtArTpJhKKrjKVUjYTixXOYzPZyGLPqdpYbsRsbvRLibbSzdMXLCNanE8cLDTMrJn7BYuPObAwdZey/Vz2n5T1CKeVisO9Ng1GIOimzg2mcSVG1t/0VvsLGSmHAyTYiatIJ5Wsc6jYxVXmrxxWJpyGJvPYn1HwLPzA1aapYwK/Y1v7MWtf/0zAChRDhG/iIhfxNlZ2zi0WCyntV7NKrGhMwi/6MNp15jKasylVWcGcDGseyNQ2FqjVRmIBeAXfQUjPqvBlAMAHL9gnePlHvgriV8UIIu+ZSmH9Z3t6VIC3G6l+u6fbph46UwcPWEZqmHi4sFSl++6mB+nZ7hy4Nj4fARbesPOm6Iaim4grRroDpfvGLq9PwJJICCktA6iFREFHy4aiOLwRAKUUnztmdMYma18Hydt5QDAabK3rk2NA2B3Zl2kW+S5kzMAgPH5XFsbh3xAur406rOzaSi6ic/cchH2/bebMdRV2thxsCOIc/b431aLObTWq1lFtvaF61IOzLdeSTnIog/b+6PY2R9t6SlmbnYPxnB4PIFT0yn8j0eP4As/OlrxuVMJBcwLwoxDPXGeViUakDCdVPDOv3kG/+VrL+DRAxNVn//owQn82tdexCvn5jCZbG/jEPazdjX1GdfDE0kAheq+mHWxAHS7cWawxbKVuHFYIlt7Ixidy0KtkTM9l8k3iqvEvXfswZ+/79KGXp+X2b0+hrmMhu+9MgYAePzQJCYWyreinkoqTgLAYWYc2lg5RAMinj4+jSMTCRweT+DjD+yHYVZOqT4+aS1wjx6YAKXAhs72NaysvqPegPSRiQQkgTgpq+UY6Mi/F4O8zoEDWMrBMCnOxau7llh+fmeZVFbGVRu7cFUbBKMZbCf27RdG0B2WYVKKb79wruxzp5MKLrbTe09NpyD4CHrC7W0cVN1Eb8SPe35hOwyTVu1VdWrKen8+dtBSGO2sHGJBCX1RPx47OFFXjdKRiQS29UWq9uwacKUF85gDB0A+nZX1VqkEcyu1a+FWOdhin8jpuGX3Otx08To8sPdcyQeWUoqpZA5DXSFE/SI0g6I3Ird8um81on5rk/GuSwec91S1mpHTM9b7k9U4tLNxEHwEn7l5J/aNzOHRg9XdcYBlHHZXcSkBVoIFg/dW4gAALloXRXdYxt/99GRV15Izf6BCzKEdiQYkbLSntr1pey/evL0HMynVKXRjzGU0aAa1KsntlhnrYu3rFgHy6azvvnx9Pi24gnHQDRNnZzJOIBYA1rdpARzjzmuGsWswhs//8GhV9RBPq5hMKFXjDUChceBdWTkALP/i/7zjUrw+lsCXf3Ki4vNYPn+lgHS7wnZkb9rWg2HbUJyLZwqew2oc1sUCzi65nYPRAHDpUAcuH+rA1Ru70BGsrhzOz2WhGiZ+8VJrTnF3WG45v/hiEXwEd107jPNzWUy5pru5OTS+gHsfPQKgejAaANbxmAOnHLftGcAvXjaIf/75GWcXQinF7X//czy41/Khx9MaIn6x5WcNLJZff+MmfOKmHeiN+B0VMVpkHCbtGof+mN+JM7RzMBoAPvjGzXjk994Mn4842W2VCgqZS+n2K9ZDEgjWt3Ew2g1re1Gp1uaeb7+Cfz8wjpt3r6tZe9Qb9kO03Zw85sAp4Bp7MhRziUynFLw2Oo+/++lJmCbFfEatGoxuV27Y3otP3bwTAJz88WLjcMHOYOqP+p2WD+1aHV0O9r6qpBxYMHr3+hiu39qDS9ugc209bOu3OhycKtPhgFKKiYUcfuNNm/FPH7ymphrw+QjWxQKQRV/LxcJaKzG3CQy7FrbeiB8jdkHMaDyLp09MI16lrxLHIigL6I34MRovTGd9ZWQesYCIoa6QE3Nod+XgxmliWKFP1anpFHrCMjpDMr7xG9ehxdauJTMQCyAkC2XrlJKKDkU3S2avVGNdzL/k6XxehiuHZTLUbQX4RueshY1NLAtIPvzL8yOYy2jo4vGGmmzsDpbEHJ47PYPrt/bY6assIM2NA0MSfAjLQsWA9ImplONCEXykZWYbLxdCCLb2hcsqBzY3ZDHGYbAj2JLT9bhxWCZMOZyfsxa2kdkMBB/Bb96wBT85OoWD5+fLtuvmFDLcHcLoXN44jMYzGI1n8aZt1hhQ9mFt92ylYjpDckmHW0opvvjjY3h5ZK5kbjnHYmtvpKxycIzDIoZu/e4vbMP/e/uaaSpdN9w4LJOwX0R3WHZcImdn0xjqCuKT79iJ//uWnQhIAnasa+0ZDY1guCuEiYUc9p2N49MPvorHD10AYMUmAOCW3QP4i/dfVjPvvN3oCEolMYeHXxnDl588iV+9ZhiffMeOJl2Zt9nWF8HYfBY5rbDP0lKUwyXrO3Dz7tYbU8tjDg1guCtYoBw29YQhiz783tt34Hfeug0+LudrsrE7BMOk+Mx3XsPIbAbff3UMvRG/07ogKAv4lWuGa/yW9sMyDoXZSv/y4gh29Efw+fddyl1JFdjaFwalwJmZdEG66lKMQ6vClUMDGOoOYTSeAaUUZ2fTzhBywOpC2q798xcDi92MzGZw445eUArcsL2HL2416AxJBW6l45NJ7D83j1+9dpjfuypscw3scjOdUiAJpG2aYFaDK4cGMNwVwo8PXcBMSkUyp2NTi8+BXglY7CYoCfi7D1yFY5NJbOnl97EWnaFCt9KDe0chCQR3XLmhiVflfbb0hkFIafub6aSCvoifG1Zw49AQhruD0AyKl87EAaBAOXDqY7AjgKhfxB1XbUBHSOKB1DqJBSXMZzVQSkEIwb+/No63X9yPnkUEVNuRoCxgY3cIxyYTBcenkwp3Kdlw49AA2K732ZPTAMCVwxIQBR8e+8SNvI5hkXQGZai6iZxmQtENTCWVtpgo2Ah2DcRwxJ7ZwJhOKhjs4BlxAI85NATWG+j7+8cg+AiGu9u7udlSGe4OwS+2Xr74SuKukj5j19hs6a08f4CTZ9dgDGdn08i4ZkpPp7hyYHDl0AA2dAaxZ0MMHUEJv3bdJr7AcVYNp79SVnUZB65c62HXYBSUAkcvJHHVxi4YJsXs/2nvXmOkOus4jn9/7LJWKPeL0oIilViwarFEqbYlqakR31RTE9kYwfqiF62Xd7bGxL4xscQ2lWKCpMW0alo01QhYi9hotd7BEui6KQVES0uATZHLEkXs3xfnGZwyu8DsnN1zDvP7JCcz88zZZ/7PP2fnP+fMmee4OJzm4pCDrs5RbPzctUWHYW1oYt0UGnv7+hklTk9kaGdXO4W1d/9RujpGMbpjFK+GT2OtcXEwq7AJddd02NPXz6zJYzwD8HmaOen1jLuok009B7h7fc/pvbBmfh19IfNWZFZh9ZPv/a2v34eUmiCJeW8cz693HiIC+o5nPyb0nkPGxcGswmoXkap95+Di0Jx5M7Kpbe64/q18ME2B4fm7Mj6sZFZhY7s6GNPVwc97DnDi5H+Z4+LQlCXvmMHfXznBLdfN4eSpV1ny/MHTZx+2OxcHswqTxO2LL+PezTsBn8barEVzprBoTjbz75gu+OiCmQVHVB4+rGRWcbcuvoy5aYLC2VP9qdfy4T0Hs4rr6hzFyu4FbNz+MpdO9A8wLR+lKQ6SPgR8E+gAHoyIrxccklllzJsx/jVTT5u1qhSHlSR1AN8ClgDzgW5J84uNysysfZWiOADvAXZFxJ6IOAk8BtxYcExmZm2rLMXhUuDFusf7UttrSLpF0hZJWw4dOjRiwZmZtZuyFIeBrqwRDQ0RayJiYUQsnDZt2giEZWbWnspSHPYB9RcIngm8XFAsZmZtryzF4c/AXElvkdQFLAXWFxyTmVnbKsWprBFxStIdwCayU1nXRkRPwWGZmbWtUhQHgIh4Anii6DjMzAwU0fC9byVIOgY8nx5OAI7k2H3Z+5sK9OXYX57xlT13NXnlsArjbaftrwr9FZW/2uu+OSLOfUZPRFRyAbbU3V+Tc99l729Lzv3lFl/Zc5d3Dqsw3nba/irSXyH5a/Z1y/KFdKs2tFl/ecszPueuXP0NV595KnsO2y1/QLUPK22JiIVFx1GEdh57XpzDoXPuWlNU/pp93SrvOawpOoACtfPY8+IcDp1z15qi8tfU61Z2z8HMzIZPlfcczMxsmLg4lICkWZJ+KalXUo+kL6T2yZI2S3oh3U5K7VPS+sclrarrZ5ykbXVLn6T7ixrXSMorh+m5bkk7JG2X9KSkqUWMaaTknLuPp7z1SFpRxHhG2hDyd4OkrWkb2yrp+rq+rkrtuyStlDTQvHMjI89TqrwM+VS0GcC70/1xwE6y61qsAO5M7XcC96T7Y4FrgNuAVWfpdytwXdHjq1IOyX4YehCYmh6vAO4uenwVyd0U4B/AtPT4YeADRY+vhPlbAFyS7l8BvFTX15+Aq8kmI/0ZsKSocXnPoQQiYn9E/CXdPwb0kk1ZfiPZPxjp9iNpnf6IeAb412B9SpoLTAd+M4yhl0aOOVRaxqZPbeO5wCeBzDF3c4CdEVGbT/8XwE3DHH7hhpC/ZyOitk31ABdJep2kGcD4iPh9ZJXikdrfFMHFoWQkzSb7ZPFH4A0RsR+yDZDszf58dQPr0kbWVlrJYUT8B7gd2EFWFOYDDw1juKXS4va3C7hc0mxJnWRvbLPO8TcXlCHk7ybg2Yj4N1lB2Vf33IDXtRkpLg4lIuli4HHgixFxtMXulgKPth5VtbSaQ0mjyYrDAuASYDtwV65BllSruYuIw2S5W0e2x7oXOJVnjGXWbP4kvR24B7i11jTAaoV9uHNxKIn0pvQ48P2I+FFqPpB2NUm3B8+zr3cBnRGxdViCLamccnglQETsTntdPwDeN0whl0Ze219EbIiI90bE1WRzn70wXDGXSbP5kzQT+DGwLCJ2p+Z9ZNeyqSn0ujYuDiWQjm0/BPRGxH11T60Hlqf7y4GfnGeX3bTZXkOOOXwJmC+pNjHZDWTHkC9YeW5/kqan20nAZ4AH8422fJrNn6SJwE+BuyLit7WV06GnY5IWpT6Xcf7/8/kr+pt+LwHZmR9BdghjW1o+THb2x1Nkn76eAibX/c1e4BXgONknjvl1z+0BLi96XFXNIdlZOL2prw3AlKLHV6HcPQr8NS1Lix5bGfMHfAXor1t3GzA9PbcQeA7YDawi/VC5iMW/kDYzswY+rGRmZg1cHMzMrIGLg5mZNXBxMDOzBi4OZmbWwMXBbBhIuk3SsibWny3pueGMyawZnUUHYHahkdQZEauLjsOsFS4OZgNIE6g9STaB2gKyaZiXAfOA+4CLgT7gUxGxX9KvgN8B7wfWSxoHHI+Ib0i6ElgNjCH7cdOnI+KwpKuAtcAJ4JmRG53Zufmwktng3gasiYh3AkeBzwIPAB+LiNob+9fq1p8YEYsj4t4z+nkE+FLqZwfw1dT+HeDzkc1DZFYq3nMwG9yL8f+5b74HfJns4iyb0wW6OoD9deuvO7MDSRPIisbTqelh4IcDtH8XWJL/EMyGxsXBbHBnzi1zDOg5yyf9/ib61gD9m5WGDyuZDe5NkmqFoBv4AzCt1iZpdJqTf1ARcQQ4LOna1PRJ4OmI+CdwRNI1qf0T+YdvNnTeczAbXC+wXNK3yWbWfADYBKxMh4U6gfvJLvV4NsuB1ZLGkM2Ye3NqvxlYK+lE6tesNDwrq9kA0tlKGyPiioJDMSuEDyuZmVkD7zmYmVkD7zmYmVkDFwczM2vg4mBmZg1cHMzMrIGLg5mZNXBxMDOzBv8DU7ItG7kgl9cAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sorted_data['inc'][-200:].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Etude de l'incidence annuelle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Etant donné que le pic de l'épidémie se situe vers mars, à cheval\n", + "entre deux années civiles, nous définissons la période de référence\n", + "entre deux minima de l'incidence, du 1er septembre de l'année $N$ au\n", + "1er septembre de l'année $N+1$.\n", + "\n", + "Notre tâche est un peu compliquée par le fait que l'année ne comporte\n", + "pas un nombre entier de semaines. Nous modifions donc un peu nos périodes\n", + "de référence: à la place du 1er septembre de chaque année, nous utilisons le\n", + "premier jour de la semaine qui contient le 1er septembre.\n", + "\n", + "Comme l'incidence de la varicelle est très faible en septembre, cette\n", + "modification ne risque pas de fausser nos conclusions.\n", + "\n", + "Encore un petit détail: les données commencent an décembre 1990, ce qui\n", + "rend la première année incomplète. Nous commençons donc l'analyse en 1991." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "first_september_week = [pd.Period(pd.Timestamp(y, 9, 1), 'W')\n", + " for y in range(1991,\n", + " sorted_data.index[-1].year)]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "En partant de cette liste des semaines qui contiennent un 1er septembre, nous obtenons nos intervalles d'environ un an comme les périodes entre deux semaines adjacentes dans cette liste. Nous calculons les sommes des incidences hebdomadaires pour toutes ces périodes.\n", + "\n", + "Nous vérifions également que ces périodes contiennent entre 51 et 52 semaines, pour nous protéger contre des éventuelles erreurs dans notre code." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "year = []\n", + "yearly_incidence = []\n", + "for week1, week2 in zip(first_september_week[:-1],\n", + " first_september_week[1:]):\n", + " one_year = sorted_data['inc'][week1:week2-1]\n", + " assert abs(len(one_year)-52) < 2\n", + " yearly_incidence.append(one_year.sum())\n", + " year.append(week2.year)\n", + "yearly_incidence = pd.Series(data=yearly_incidence, index=year)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Voici les incidences annuelles." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "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": [ + "yearly_incidence.plot(style='*')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Une liste triée permet de plus facilement répérer les valeurs les plus élevées (à la fin)." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2002 516689\n", + "2018 542312\n", + "2017 551041\n", + "1996 564901\n", + "2019 584066\n", + "2015 604382\n", + "2000 617597\n", + "2001 619041\n", + "2012 624573\n", + "2005 628464\n", + "2006 632833\n", + "2011 642368\n", + "1993 643387\n", + "1995 652478\n", + "1994 661409\n", + "1998 677775\n", + "1997 683434\n", + "2014 685769\n", + "2013 698332\n", + "2007 717352\n", + "2008 749478\n", + "1999 756456\n", + "2003 758363\n", + "2004 777388\n", + "2016 782114\n", + "2010 829911\n", + "1992 832939\n", + "2009 842373\n", + "dtype: int64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yearly_incidence.sort_values()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Enfin, un histogramme montre bien que les épidémies fortes, qui touchent environ 13% de la population française, sont assez rares: il y en eu trois au cours des 29 dernières années." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "yearly_incidence.hist(xrot=20)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +2408,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - diff --git a/module3/exo2/varicelle.csv b/module3/exo2/varicelle.csv new file mode 100644 index 0000000..29344a7 --- /dev/null +++ b/module3/exo2/varicelle.csv @@ -0,0 +1,1531 @@ +# @source="réseau Sentinelles, INSERM, Sorbonne Université, http://www.sentiweb.fr", @meta={"period":[199049,202012],"geo":["PAY","1"],"geo_ref":"insee","indicator":"7","type":"all","conf_int":true,"compact":false}, @date=2020-03-30T14:31:06+02:00 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+199127,7,20309,12868,27750,36,23,49,FR,France +199126,7,17608,11304,23912,31,20,42,FR,France +199125,7,16169,10700,21638,28,18,38,FR,France +199124,7,16171,10071,22271,28,17,39,FR,France +199123,7,11947,7671,16223,21,13,29,FR,France +199122,7,15452,9953,20951,27,17,37,FR,France +199121,7,14903,8975,20831,26,16,36,FR,France +199120,7,19053,12742,25364,34,23,45,FR,France +199119,7,16739,11246,22232,29,19,39,FR,France +199118,7,21385,13882,28888,38,25,51,FR,France +199117,7,13462,8877,18047,24,16,32,FR,France +199116,7,14857,10068,19646,26,18,34,FR,France +199115,7,13975,9781,18169,25,18,32,FR,France +199114,7,12265,7684,16846,22,14,30,FR,France +199113,7,9567,6041,13093,17,11,23,FR,France +199112,7,10864,7331,14397,19,13,25,FR,France +199111,7,15574,11184,19964,27,19,35,FR,France +199110,7,16643,11372,21914,29,20,38,FR,France +199109,7,13741,8780,18702,24,15,33,FR,France +199108,7,13289,8813,17765,23,15,31,FR,France +199107,7,12337,8077,16597,22,15,29,FR,France +199106,7,10877,7013,14741,19,12,26,FR,France +199105,7,10442,6544,14340,18,11,25,FR,France +199104,7,7913,4563,11263,14,8,20,FR,France +199103,7,15387,10484,20290,27,18,36,FR,France +199102,7,16277,11046,21508,29,20,38,FR,France +199101,7,15565,10271,20859,27,18,36,FR,France +199052,7,19375,13295,25455,34,23,45,FR,France +199051,7,19080,13807,24353,34,25,43,FR,France +199050,7,11079,6660,15498,20,12,28,FR,France +199049,7,1143,0,2610,2,0,5,FR,France diff --git a/module3/exo3/CO2.csv b/module3/exo3/CO2.csv new file mode 100644 index 0000000..326fa3d --- /dev/null +++ b/module3/exo3/CO2.csv @@ -0,0 +1,813 @@ +"-------------------------------------------------------------------------------------------" +" Atmospheric CO2 concentrations (ppm) derived from in situ air measurements " +" at Mauna Loa, Observatory, Hawaii: Latitude 19.5°N Longitude 155.6°W Elevation 3397m " +" " +" Source: R. F. Keeling, S. J. Walker, S. C. Piper and A. F. Bollenbacher " +" Scripps CO2 Program ( http://scrippsco2.ucsd.edu ) " +" Scripps Institution of Oceanography (SIO) " +" University of California " +" La Jolla, California USA 92093-0244 " +" " +" Status of data and correspondence: " +" " +" These data are subject to revision based on recalibration of standard gases. Questions " +" about the data should be directed to Dr. Ralph Keeling (rkeeling@ucsd.edu), Stephen Walker" +" (sjwalker@ucsd.edu) and Stephen Piper (scpiper@ucsd.edu), Scripps CO2 Program. " +" " +" Baseline data in this file through 06-Feb-2020 from archive dated 06-Feb-2020 08:55:31 " +" " +"-------------------------------------------------------------------------------------------" +" " +" Please cite as: " +" " +" C. D. Keeling, S. C. Piper, R. B. Bacastow, M. Wahlen, T. P. Whorf, M. Heimann, and " +" H. A. Meijer, Exchanges of atmospheric CO2 and 13CO2 with the terrestrial biosphere and " +" oceans from 1978 to 2000. I. Global aspects, SIO Reference Series, No. 01-06, Scripps " +" Institution of Oceanography, San Diego, 88 pages, 2001. " +" " +" If it is necessary to cite a peer-reviewed article, please cite as: " +" " +" C. D. Keeling, S. C. Piper, R. B. Bacastow, M. Wahlen, T. P. Whorf, M. Heimann, and " +" H. A. Meijer, Atmospheric CO2 and 13CO2 exchange with the terrestrial biosphere and " +" oceans from 1978 to 2000: observations and carbon cycle implications, pages 83-113, " +" in "A History of Atmospheric CO2 and its effects on Plants, Animals, and Ecosystems", " +" editors, Ehleringer, J.R., T. E. Cerling, M. D. Dearing, Springer Verlag, " +" New York, 2005. " +" " +"-------------------------------------------------------------------------------------------" +" " +" The data file below contains 10 columns. Columns 1-4 give the dates in several redundant " +" formats. Column 5 below gives monthly Mauna Loa CO2 concentrations in micro-mol CO2 per " +" mole (ppm), reported on the 2008A SIO manometric mole fraction scale. This is the " +" standard version of the data most often sought. The monthly values have been adjusted " +" to 24:00 hours on the 15th of each month. Column 6 gives the same data after a seasonal " +" adjustment to remove the quasi-regular seasonal cycle. The adjustment involves " +" subtracting from the data a 4-harmonic fit with a linear gain factor. Column 7 is a " +" smoothed version of the data generated from a stiff cubic spline function plus 4-harmonic " +" functions with linear gain. Column 8 is the same smoothed version with the seasonal " +" cycle removed. Column 9 is identical to Column 5 except that the missing values from " +" Column 5 have been filled with values from Column 7. Column 10 is identical to Column 6 " +" except missing values have been filled with values from Column 8. Missing values are " +" denoted by -99.99 " +" " +" CO2 concentrations are measured on the '08A' calibration scale " +" " + Yr, Mn, Date, Date, CO2,seasonally, fit, seasonally, CO2, seasonally + , , , , , adjusted, ,adjusted fit, filled,adjusted filled + , , Excel, , [ppm], [ppm] , [ppm], [ppm], [ppm], [ppm] +1958, 01, 21200, 1958.0411, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +1958, 02, 21231, 1958.1260, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +1958, 03, 21259, 1958.2027, 315.70, 314.44, 316.19, 314.91, 315.70, 314.44 +1958, 04, 21290, 1958.2877, 317.45, 315.16, 317.30, 314.99, 317.45, 315.16 +1958, 05, 21320, 1958.3699, 317.51, 314.71, 317.86, 315.06, 317.51, 314.71 +1958, 06, 21351, 1958.4548, -99.99, -99.99, 317.24, 315.14, 317.24, 315.14 +1958, 07, 21381, 1958.5370, 315.86, 315.19, 315.86, 315.22, 315.86, 315.19 +1958, 08, 21412, 1958.6219, 314.93, 316.19, 314.00, 315.29, 314.93, 316.19 +1958, 09, 21443, 1958.7068, 313.21, 316.08, 312.46, 315.35, 313.21, 316.08 +1958, 10, 21473, 1958.7890, -99.99, -99.99, 312.44, 315.40, 312.44, 315.40 +1958, 11, 21504, 1958.8740, 313.33, 315.20, 313.62, 315.46, 313.33, 315.20 +1958, 12, 21534, 1958.9562, 314.67, 315.43, 314.77, 315.51, 314.67, 315.43 +1959, 01, 21565, 1959.0411, 315.58, 315.54, 315.62, 315.57, 315.58, 315.54 +1959, 02, 21596, 1959.1260, 316.49, 315.86, 316.27, 315.63, 316.49, 315.86 +1959, 03, 21624, 1959.2027, 316.65, 315.38, 316.98, 315.69, 316.65, 315.38 +1959, 04, 21655, 1959.2877, 317.72, 315.42, 318.09, 315.77, 317.72, 315.42 +1959, 05, 21685, 1959.3699, 318.29, 315.49, 318.65, 315.85, 318.29, 315.49 +1959, 06, 21716, 1959.4548, 318.15, 316.03, 318.04, 315.94, 318.15, 316.03 +1959, 07, 21746, 1959.5370, 316.54, 315.86, 316.67, 316.03, 316.54, 315.86 +1959, 08, 21777, 1959.6219, 314.80, 316.06, 314.83, 316.12, 314.80, 316.06 +1959, 09, 21808, 1959.7068, 313.84, 316.72, 313.32, 316.22, 313.84, 316.72 +1959, 10, 21838, 1959.7890, 313.33, 316.32, 313.33, 316.30, 313.33, 316.32 +1959, 11, 21869, 1959.8740, 314.81, 316.68, 314.54, 316.39, 314.81, 316.68 +1959, 12, 21899, 1959.9562, 315.58, 316.35, 315.72, 316.47, 315.58, 316.35 +1960, 01, 21930, 1960.0410, 316.43, 316.39, 316.61, 316.56, 316.43, 316.39 +1960, 02, 21961, 1960.1257, 316.98, 316.35, 317.27, 316.64, 316.98, 316.35 +1960, 03, 21990, 1960.2049, 317.58, 316.28, 318.03, 316.71, 317.58, 316.28 +1960, 04, 22021, 1960.2896, 319.03, 316.70, 319.14, 316.79, 319.03, 316.70 +1960, 05, 22051, 1960.3716, 320.04, 317.22, 319.67, 316.86, 320.04, 317.22 +1960, 06, 22082, 1960.4563, 319.59, 317.48, 319.01, 316.93, 319.59, 317.48 +1960, 07, 22112, 1960.5383, 318.18, 317.53, 317.60, 316.98, 318.18, 317.53 +1960, 08, 22143, 1960.6230, 315.90, 317.20, 315.69, 317.01, 315.90, 317.20 +1960, 09, 22174, 1960.7077, 314.17, 317.07, 314.12, 317.04, 314.17, 317.07 +1960, 10, 22204, 1960.7896, 313.83, 316.83, 314.09, 317.07, 313.83, 316.83 +1960, 11, 22235, 1960.8743, 315.00, 316.87, 315.25, 317.11, 315.00, 316.87 +1960, 12, 22265, 1960.9563, 316.19, 316.96, 316.40, 317.15, 316.19, 316.96 +1961, 01, 22296, 1961.0411, 316.89, 316.86, 317.25, 317.20, 316.89, 316.86 +1961, 02, 22327, 1961.1260, 317.70, 317.07, 317.90, 317.26, 317.70, 317.07 +1961, 03, 22355, 1961.2027, 318.54, 317.26, 318.63, 317.33, 318.54, 317.26 +1961, 04, 22386, 1961.2877, 319.48, 317.16, 319.75, 317.41, 319.48, 317.16 +1961, 05, 22416, 1961.3699, 320.58, 317.76, 320.32, 317.50, 320.58, 317.76 +1961, 06, 22447, 1961.4548, 319.77, 317.63, 319.71, 317.59, 319.77, 317.63 +1961, 07, 22477, 1961.5370, 318.57, 317.89, 318.33, 317.68, 318.57, 317.89 +1961, 08, 22508, 1961.6219, 316.79, 318.06, 316.46, 317.76, 316.79, 318.06 +1961, 09, 22539, 1961.7068, 314.99, 317.89, 314.92, 317.85, 314.99, 317.89 +1961, 10, 22569, 1961.7890, 315.31, 318.32, 314.92, 317.92, 315.31, 318.32 +1961, 11, 22600, 1961.8740, 316.10, 317.99, 316.13, 317.99, 316.10, 317.99 +1961, 12, 22630, 1961.9562, 317.01, 317.78, 317.30, 318.06, 317.01, 317.78 +1962, 01, 22661, 1962.0411, 317.94, 317.90, 318.18, 318.13, 317.94, 317.90 +1962, 02, 22692, 1962.1260, 318.55, 317.92, 318.83, 318.19, 318.55, 317.92 +1962, 03, 22720, 1962.2027, 319.68, 318.39, 319.56, 318.26, 319.68, 318.39 +1962, 04, 22751, 1962.2877, 320.57, 318.24, 320.67, 318.32, 320.57, 318.24 +1962, 05, 22781, 1962.3699, 321.02, 318.18, 321.22, 318.39, 321.02, 318.18 +1962, 06, 22812, 1962.4548, 320.62, 318.48, 320.57, 318.45, 320.62, 318.48 +1962, 07, 22842, 1962.5370, 319.61, 318.93, 319.16, 318.51, 319.61, 318.93 +1962, 08, 22873, 1962.6219, 317.40, 318.68, 317.25, 318.56, 317.40, 318.68 +1962, 09, 22904, 1962.7068, 316.25, 319.16, 315.67, 318.60, 316.25, 319.16 +1962, 10, 22934, 1962.7890, 315.42, 318.44, 315.63, 318.64, 315.42, 318.44 +1962, 11, 22965, 1962.8740, 316.69, 318.58, 316.81, 318.68, 316.69, 318.58 +1962, 12, 22995, 1962.9562, 317.70, 318.47, 317.96, 318.72, 317.70, 318.47 +1963, 01, 23026, 1963.0411, 318.74, 318.70, 318.81, 318.76, 318.74, 318.70 +1963, 02, 23057, 1963.1260, 319.07, 318.44, 319.45, 318.81, 319.07, 318.44 +1963, 03, 23085, 1963.2027, 319.86, 318.57, 320.16, 318.86, 319.86, 318.57 +1963, 04, 23116, 1963.2877, 321.38, 319.05, 321.26, 318.91, 321.38, 319.05 +1963, 05, 23146, 1963.3699, 322.25, 319.40, 321.80, 318.96, 322.25, 319.40 +1963, 06, 23177, 1963.4548, 321.48, 319.33, 321.14, 319.01, 321.48, 319.33 +1963, 07, 23207, 1963.5370, 319.74, 319.06, 319.71, 319.06, 319.74, 319.06 +1963, 08, 23238, 1963.6219, 317.77, 319.05, 317.78, 319.10, 317.77, 319.05 +1963, 09, 23269, 1963.7068, 316.21, 319.14, 316.20, 319.14, 316.21, 319.14 +1963, 10, 23299, 1963.7890, 315.99, 319.02, 316.16, 319.18, 315.99, 319.02 +1963, 11, 23330, 1963.8740, 317.07, 318.96, 317.35, 319.23, 317.07, 318.96 +1963, 12, 23360, 1963.9562, 318.35, 319.13, 318.51, 319.27, 318.35, 319.13 +1964, 01, 23391, 1964.0410, 319.57, 319.53, 319.37, 319.32, 319.57, 319.53 +1964, 02, 23422, 1964.1257, -99.99, -99.99, 320.01, 319.36, 320.01, 319.36 +1964, 03, 23451, 1964.2049, -99.99, -99.99, 320.74, 319.41, 320.74, 319.41 +1964, 04, 23482, 1964.2896, -99.99, -99.99, 321.83, 319.45, 321.83, 319.45 +1964, 05, 23512, 1964.3716, 322.26, 319.40, 322.34, 319.49, 322.26, 319.40 +1964, 06, 23543, 1964.4563, 321.89, 319.75, 321.64, 319.52, 321.89, 319.75 +1964, 07, 23573, 1964.5383, 320.44, 319.78, 320.19, 319.55, 320.44, 319.78 +1964, 08, 23604, 1964.6230, 318.69, 320.00, 318.24, 319.58, 318.69, 320.00 +1964, 09, 23635, 1964.7077, 316.71, 319.65, 316.64, 319.60, 316.71, 319.65 +1964, 10, 23665, 1964.7896, 316.87, 319.91, 316.59, 319.62, 316.87, 319.91 +1964, 11, 23696, 1964.8743, 317.68, 319.58, 317.76, 319.64, 317.68, 319.58 +1964, 12, 23726, 1964.9563, 318.71, 319.49, 318.89, 319.66, 318.71, 319.49 +1965, 01, 23757, 1965.0411, 319.44, 319.40, 319.73, 319.68, 319.44, 319.40 +1965, 02, 23788, 1965.1260, 320.44, 319.81, 320.37, 319.72, 320.44, 319.81 +1965, 03, 23816, 1965.2027, 320.89, 319.59, 321.08, 319.77, 320.89, 319.59 +1965, 04, 23847, 1965.2877, 322.14, 319.78, 322.20, 319.83, 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+2016, 09, 42628, 2016.7077, 401.01, 404.50, 401.32, 404.83, 401.01, 404.50 +2016, 10, 42658, 2016.7896, 401.50, 405.10, 401.45, 405.04, 401.50, 405.10 +2016, 11, 42689, 2016.8743, 403.64, 405.89, 403.02, 405.25, 403.64, 405.89 +2016, 12, 42719, 2016.9563, 404.55, 405.47, 404.54, 405.44, 404.55, 405.47 +2017, 01, 42750, 2017.0411, 406.07, 406.03, 405.69, 405.63, 406.07, 406.03 +2017, 02, 42781, 2017.1260, 406.64, 405.89, 406.58, 405.81, 406.64, 405.89 +2017, 03, 42809, 2017.2027, 407.06, 405.52, 407.52, 405.97, 407.06, 405.52 +2017, 04, 42840, 2017.2877, 408.95, 406.16, 408.94, 406.13, 408.95, 406.16 +2017, 05, 42870, 2017.3699, 409.91, 406.52, 409.68, 406.29, 409.91, 406.52 +2017, 06, 42901, 2017.4548, 409.12, 406.55, 408.99, 406.45, 409.12, 406.55 +2017, 07, 42931, 2017.5370, 407.20, 406.38, 407.39, 406.61, 407.20, 406.38 +2017, 08, 42962, 2017.6219, 405.24, 406.77, 405.20, 406.76, 405.24, 406.77 +2017, 09, 42993, 2017.7068, 403.27, 406.76, 403.41, 406.92, 403.27, 406.76 +2017, 10, 43023, 2017.7890, 403.64, 407.25, 403.47, 407.07, 403.64, 407.25 +2017, 11, 43054, 2017.8740, 405.17, 407.43, 404.98, 407.22, 405.17, 407.43 +2017, 12, 43084, 2017.9562, 406.75, 407.68, 406.46, 407.37, 406.75, 407.68 +2018, 01, 43115, 2018.0411, 408.05, 408.00, 407.58, 407.52, 408.05, 408.00 +2018, 02, 43146, 2018.1260, 408.34, 407.59, 408.44, 407.68, 408.34, 407.59 +2018, 03, 43174, 2018.2027, 409.25, 407.71, 409.39, 407.82, 409.25, 407.71 +2018, 04, 43205, 2018.2877, 410.30, 407.51, 410.82, 408.00, 410.30, 407.51 +2018, 05, 43235, 2018.3699, 411.30, 407.90, 411.60, 408.20, 411.30, 407.90 +2018, 06, 43266, 2018.4548, 410.88, 408.30, 410.97, 408.42, 410.88, 408.30 +2018, 07, 43296, 2018.5370, 408.90, 408.08, 409.43, 408.65, 408.90, 408.08 +2018, 08, 43327, 2018.6219, 407.10, 408.63, 407.33, 408.91, 407.10, 408.63 +2018, 09, 43358, 2018.7068, 405.59, 409.09, 405.66, 409.18, 405.59, 409.09 +2018, 10, 43388, 2018.7890, 405.99, 409.62, 405.83, 409.44, 405.99, 409.62 +2018, 11, 43419, 2018.8740, 408.12, 410.39, 407.47, 409.72, 408.12, 410.39 +2018, 12, 43449, 2018.9562, 409.23, 410.16, 409.07, 409.97, 409.23, 410.16 +2019, 01, 43480, 2019.0411, 410.92, 410.87, 410.29, 410.23, 410.92, 410.87 +2019, 02, 43511, 2019.1260, 411.66, 410.90, 411.24, 410.47, 411.66, 410.90 +2019, 03, 43539, 2019.2027, 412.00, 410.45, 412.25, 410.68, 412.00, 410.45 +2019, 04, 43570, 2019.2877, 413.52, 410.72, 413.73, 410.91, 413.52, 410.72 +2019, 05, 43600, 2019.3699, 414.83, 411.42, 414.54, 411.13, 414.83, 411.42 +2019, 06, 43631, 2019.4548, 413.96, 411.38, 413.91, 411.35, 413.96, 411.38 +2019, 07, 43661, 2019.5370, 411.85, 411.03, 412.36, 411.57, 411.85, 411.03 +2019, 08, 43692, 2019.6219, 410.08, 411.62, 410.23, 411.81, 410.08, 411.62 +2019, 09, 43723, 2019.7068, 408.55, 412.06, 408.52, 412.05, 408.55, 412.06 +2019, 10, 43753, 2019.7890, 408.43, 412.07, 408.67, 412.29, 408.43, 412.07 +2019, 11, 43784, 2019.8740, 410.28, 412.56, 410.29, 412.54, 410.28, 412.56 +2019, 12, 43814, 2019.9562, 411.85, 412.78, 411.88, 412.79, 411.85, 412.78 +2020, 01, 43845, 2020.0410, 413.37, 413.33, 413.11, 413.05, 413.37, 413.33 +2020, 02, 43876, 2020.1257, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 03, 43905, 2020.2049, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 04, 43936, 2020.2896, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 05, 43966, 2020.3716, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 06, 43997, 2020.4563, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 07, 44027, 2020.5383, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 08, 44058, 2020.6230, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 09, 44089, 2020.7077, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 10, 44119, 2020.7896, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 11, 44150, 2020.8743, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 +2020, 12, 44180, 2020.9563, -99.99, -99.99, -99.99, -99.99, -99.99, -99.99 diff --git a/module3/exo3/daily_CO2.csv b/module3/exo3/daily_CO2.csv new file mode 100644 index 0000000..e756b46 --- /dev/null +++ b/module3/exo3/daily_CO2.csv @@ -0,0 +1,3200 @@ +"-------------------------------------------------------------------------------------------" +" Atmospheric CO2 concentrations (ppm) derived from in situ air measurements " +" at Mauna Loa, Observatory, Hawaii: Latitude 19.5°N Longitude 155.6°W Elevation 3397m " +" " +" Source: R. F. Keeling, S. J. Walker, S. C. Piper and A. F. Bollenbacher " +" Scripps CO2 Program ( http://scrippsco2.ucsd.edu ) " +" Scripps Institution of Oceanography (SIO) " +" University of California " +" La Jolla, California USA 92093-0244 " +" " +" Status of data and correspondence: " +" " +" These data are subject to revision based on recalibration of standard gases. Questions " +" about the data should be directed to Dr. Ralph Keeling (rkeeling@ucsd.edu), Stephen Walker" +" (sjwalker@ucsd.edu) and Stephen Piper (scpiper@ucsd.edu), Scripps CO2 Program. " +" " +" Baseline data in this file through 06-Feb-2020 from archive dated 06-Feb-2020 08:55:31 " +" " +"-------------------------------------------------------------------------------------------" +" " +" Please cite as: " +" " +" C. D. Keeling, S. C. Piper, R. B. Bacastow, M. Wahlen, T. P. Whorf, M. Heimann, and " +" H. A. Meijer, Exchanges of atmospheric CO2 and 13CO2 with the terrestrial biosphere and " +" oceans from 1978 to 2000. I. Global aspects, SIO Reference Series, No. 01-06, Scripps " +" Institution of Oceanography, San Diego, 88 pages, 2001. " +" " +" If it is necessary to cite a peer-reviewed article, please cite as: " +" " +" C. D. Keeling, S. C. Piper, R. B. Bacastow, M. Wahlen, T. P. Whorf, M. Heimann, and " +" H. A. Meijer, Atmospheric CO2 and 13CO2 exchange with the terrestrial biosphere and " +" oceans from 1978 to 2000: observations and carbon cycle implications, pages 83-113, " +" in "A History of Atmospheric CO2 and its effects on Plants, Animals, and Ecosystems", " +" editors, Ehleringer, J.R., T. E. Cerling, M. D. Dearing, Springer Verlag, " +" New York, 2005. " +" " +"-------------------------------------------------------------------------------------------" +" " +" " +" The data file below contains 2 columns indicaing the date and CO2 " +" concentrations in micro-mol CO2 per mole (ppm), reported on the 2008A " +" SIO manometric mole fraction scale. These weekly values have been " +" adjusted to 12:00 hours at middle day of each weekly period as " +" indicated by the date in the first column. " +1958-03-29, 316.19 +1958-04-05, 317.31 +1958-04-12, 317.69 +1958-04-19, 317.58 +1958-04-26, 316.48 +1958-05-03, 316.95 +1958-05-17, 317.56 +1958-05-24, 317.99 +1958-07-05, 315.85 +1958-07-12, 315.85 +1958-07-19, 315.46 +1958-07-26, 315.59 +1958-08-02, 315.64 +1958-08-09, 315.10 +1958-08-16, 315.09 +1958-08-30, 314.14 +1958-09-06, 313.54 +1958-11-08, 313.05 +1958-11-15, 313.26 +1958-11-22, 313.57 +1958-11-29, 314.01 +1958-12-06, 314.56 +1958-12-13, 314.41 +1958-12-20, 314.77 +1958-12-27, 315.21 +1959-01-03, 315.24 +1959-01-10, 315.50 +1959-01-17, 315.69 +1959-01-24, 315.86 +1959-01-31, 315.42 +1959-02-14, 316.94 +1959-02-21, 316.61 +1959-02-28, 316.62 +1959-03-07, 316.81 +1959-03-21, 316.73 +1959-03-28, 316.71 +1959-04-04, 317.72 +1959-04-11, 317.12 +1959-04-18, 317.64 +1959-04-25, 318.32 +1959-05-02, 318.27 +1959-05-09, 318.78 +1959-05-16, 318.05 +1959-05-23, 318.43 +1959-06-06, 318.53 +1959-06-13, 318.14 +1959-06-20, 317.88 +1959-06-27, 317.76 +1959-07-04, 316.86 +1959-07-11, 316.83 +1959-07-18, 316.45 +1959-07-25, 316.16 +1959-08-01, 315.62 +1959-08-08, 314.91 +1959-08-22, 315.00 +1959-08-29, 314.15 +1959-09-05, 314.45 +1959-09-12, 313.93 +1959-09-19, 313.57 +1959-09-26, 313.54 +1959-10-03, 313.04 +1959-10-10, 313.15 +1959-10-17, 313.43 +1959-10-24, 313.46 +1959-10-31, 314.12 +1959-11-07, 314.42 +1959-11-14, 314.88 +1959-11-21, 315.20 +1959-11-28, 315.11 +1959-12-05, 315.06 +1959-12-12, 315.64 +1959-12-19, 315.86 +1959-12-26, 315.77 +1960-01-02, 315.72 +1960-01-09, 316.40 +1960-01-16, 316.73 +1960-01-23, 316.57 +1960-01-30, 316.68 +1960-02-06, 316.61 +1960-02-13, 316.98 +1960-02-20, 317.42 +1960-02-27, 317.00 +1960-03-05, 316.96 +1960-03-12, 317.76 +1960-03-19, 318.07 +1960-03-26, 317.77 +1960-04-02, 318.61 +1960-04-09, 319.34 +1960-04-16, 319.01 +1960-04-23, 319.03 +1960-04-30, 319.77 +1960-05-07, 319.96 +1960-05-14, 319.82 +1960-05-21, 320.04 +1960-05-28, 320.06 +1960-06-04, 319.46 +1960-06-11, 320.08 +1960-06-18, 319.42 +1960-06-25, 319.09 +1960-07-02, 318.18 +1960-07-09, 318.64 +1960-07-16, 318.41 +1960-07-23, 317.91 +1960-07-30, 317.33 +1960-08-06, 316.62 +1960-08-13, 316.70 +1960-08-20, 315.10 +1960-08-27, 314.78 +1960-09-03, 314.72 +1960-09-10, 314.58 +1960-09-17, 314.28 +1960-09-24, 313.33 +1960-10-01, 313.66 +1960-10-08, 313.32 +1960-10-15, 313.92 +1960-10-22, 314.21 +1960-10-29, 314.29 +1960-11-05, 314.50 +1960-11-12, 315.10 +1960-11-19, 315.10 +1960-11-26, 315.41 +1960-12-03, 315.84 +1960-12-10, 316.07 +1960-12-17, 316.21 +1960-12-24, 316.40 +1960-12-31, 316.67 +1961-01-07, 316.73 +1961-01-14, 317.02 +1961-01-21, 317.03 +1961-01-28, 317.01 +1961-02-04, 317.06 +1961-02-11, 317.75 +1961-02-18, 317.94 +1961-02-25, 318.00 +1961-03-04, 318.04 +1961-03-11, 318.51 +1961-03-18, 318.92 +1961-03-25, 318.71 +1961-04-01, 319.41 +1961-04-08, 319.55 +1961-04-15, 318.90 +1961-04-22, 319.74 +1961-04-29, 319.67 +1961-05-06, 320.67 +1961-05-13, 320.46 +1961-05-20, 320.61 +1961-05-27, 320.36 +1961-06-03, 320.09 +1961-06-10, 320.02 +1961-06-17, 319.62 +1961-06-24, 319.49 +1961-07-01, 319.26 +1961-07-08, 319.07 +1961-07-15, 318.49 +1961-07-22, 317.16 +1961-07-29, 317.97 +1961-08-05, 317.91 +1961-08-12, 317.33 +1961-08-19, 316.76 +1961-08-26, 315.26 +1961-09-02, 315.28 +1961-09-09, 314.97 +1961-09-16, 314.53 +1961-09-23, 315.06 +1961-09-30, 315.61 +1961-10-07, 314.97 +1961-10-14, 315.43 +1961-10-21, 315.48 +1961-10-28, 315.72 +1961-11-04, 315.82 +1961-11-11, 315.70 +1961-11-18, 316.21 +1961-11-25, 316.55 +1961-12-02, 316.52 +1961-12-09, 317.02 +1961-12-16, 316.94 +1961-12-23, 317.18 +1961-12-30, 317.46 +1962-01-06, 317.99 +1962-01-13, 318.12 +1962-01-20, 318.07 +1962-01-27, 317.78 +1962-02-03, 318.08 +1962-02-10, 318.35 +1962-02-17, 318.92 +1962-02-24, 319.38 +1962-03-03, 319.28 +1962-03-10, 319.46 +1962-03-17, 319.95 +1962-03-24, 319.78 +1962-03-31, 320.27 +1962-04-07, 320.26 +1962-04-14, 321.03 +1962-04-21, 320.78 +1962-04-28, 320.36 +1962-05-05, 320.89 +1962-05-12, 320.78 +1962-05-19, 321.05 +1962-05-26, 321.16 +1962-06-02, 320.91 +1962-06-09, 320.87 +1962-06-16, 320.52 +1962-06-23, 320.15 +1962-06-30, 320.23 +1962-07-07, 320.10 +1962-07-14, 319.95 +1962-07-21, 319.01 +1962-07-28, 318.75 +1962-08-04, 318.68 +1962-08-11, 317.24 +1962-08-18, 317.48 +1962-09-15, 316.65 +1962-09-22, 315.72 +1962-09-29, 315.92 +1962-10-06, 315.10 +1962-10-13, 315.40 +1962-10-20, 315.72 +1962-10-27, 315.78 +1962-11-03, 315.94 +1962-11-10, 316.49 +1962-11-17, 316.92 +1962-11-24, 317.08 +1962-12-01, 317.19 +1962-12-08, 317.31 +1962-12-15, 317.66 +1962-12-22, 318.18 +1963-01-05, 318.54 +1963-01-12, 318.73 +1963-01-19, 318.90 +1963-01-26, 318.82 +1963-02-02, 318.77 +1963-02-09, 318.95 +1963-02-23, 319.37 +1963-03-02, 319.35 +1963-03-09, 319.70 +1963-03-16, 319.80 +1963-03-23, 320.34 +1963-03-30, 320.29 +1963-04-06, 320.38 +1963-04-13, 320.96 +1963-04-20, 322.05 +1963-04-27, 321.92 +1963-05-11, 321.97 +1963-05-18, 322.28 +1963-05-25, 322.27 +1963-06-01, 322.32 +1963-06-08, 322.09 +1963-06-15, 321.83 +1963-06-22, 320.88 +1963-06-29, 320.49 +1963-07-06, 320.12 +1963-07-13, 319.82 +1963-07-20, 319.56 +1963-07-27, 319.06 +1963-08-03, 318.60 +1963-08-10, 318.27 +1963-08-17, 317.73 +1963-08-24, 317.12 +1963-08-31, 316.44 +1963-09-07, 316.81 +1963-09-14, 315.99 +1963-09-21, 316.03 +1963-09-28, 315.93 +1963-10-05, 316.28 +1963-10-12, 315.65 +1963-10-19, 316.14 +1963-10-26, 316.36 +1963-11-02, 316.63 +1963-11-09, 316.83 +1963-11-16, 317.13 +1963-11-30, 317.56 +1963-12-07, 318.07 +1963-12-14, 318.27 +1963-12-21, 318.59 +1963-12-28, 318.74 +1964-01-04, 319.04 +1964-01-11, 319.49 +1964-01-18, 319.88 +1964-05-30, 322.07 +1964-06-06, 322.06 +1964-06-27, 321.57 +1964-07-04, 321.14 +1964-07-11, 319.95 +1964-07-18, 320.28 +1964-07-25, 320.02 +1964-08-01, 319.14 +1964-08-15, 318.61 +1964-08-22, 318.23 +1964-08-29, 318.11 +1964-09-05, 317.48 +1964-09-12, 316.57 +1964-09-19, 315.59 +1964-09-26, 317.01 +1964-10-03, 316.93 +1964-10-10, 316.51 +1964-10-17, 316.86 +1964-10-24, 317.05 +1964-10-31, 317.65 +1964-11-07, 317.77 +1964-11-14, 317.65 +1964-11-21, 317.52 +1964-11-28, 318.11 +1964-12-05, 318.42 +1964-12-12, 318.58 +1964-12-19, 318.93 +1964-12-26, 318.91 +1965-01-02, 319.08 +1965-01-09, 319.17 +1965-01-16, 319.16 +1965-01-23, 319.79 +1965-01-30, 320.12 +1965-02-06, 320.20 +1965-02-13, 320.16 +1965-02-20, 320.70 +1965-02-27, 320.89 +1965-03-06, 321.07 +1965-03-13, 320.98 +1965-03-20, 320.49 +1965-03-27, 321.40 +1965-04-03, 321.95 +1965-04-10, 322.27 +1965-04-17, 322.17 +1965-04-24, 321.86 +1965-05-01, 322.46 +1965-05-08, 322.22 +1965-05-15, 321.94 +1965-05-22, 321.69 +1965-05-29, 322.26 +1965-06-05, 321.87 +1965-06-12, 321.77 +1965-06-19, 321.77 +1965-06-26, 321.99 +1965-07-03, 321.97 +1965-07-10, 321.85 +1965-07-17, 321.76 +1965-07-24, 320.47 +1965-07-31, 319.49 +1965-08-07, 319.47 +1965-08-14, 318.02 +1965-08-21, 318.82 +1965-08-28, 318.73 +1965-09-04, 318.39 +1965-09-11, 318.05 +1965-09-18, 318.26 +1965-09-25, 316.85 +1965-10-02, 316.60 +1965-10-09, 317.26 +1965-10-16, 317.86 +1965-10-23, 317.56 +1965-10-30, 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411.67 +2019-12-21, 412.30 +2019-12-28, 412.59 +2020-01-04, 413.19 +2020-01-11, 413.39 +2020-01-25, 413.36 +2020-02-01, 413.99 diff --git a/module3/exo3/exercice.ipynb b/module3/exo3/exercice.ipynb index 0bbbe37..fa9f331 100644 --- a/module3/exo3/exercice.ipynb +++ b/module3/exo3/exercice.ipynb @@ -1,5 +1,1203 @@ { - "cells": [], + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Concentration de CO2 dans l'atmosphère depuis 1958" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Téléchargement et ouverture des données" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous allons commencer par importer les librairies nécéssaires :" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "1. Utilisation de la bibliothèque intégrée à Notebook (matplotlib inline)\n", + "2. Importation d'une bibliothèque pour les sorties graphique dans le nom \"plt\"\n", + "3. Importation d'une bibliothèque pratique pour la manipulation de données (tableaux, séries temporelles,...) dans le nom \"pd\"\n", + "4. Importation d'une bibliothèque pour faciliter la manipulation de tableaux, matrices, et opérations mathématiques dans le nom \"np\"\n", + "5. Importation d'un module qui permet de chercher des chemins locaux (os)\n", + "6. Importation d'un module qui défini des fonctions permettant d'ouvrir des URL dans des environnements complexes (urllib.request)\n", + "7. Importation d'un module pour faciliter les optimisations non linéaires ainsi que les problèmes d'ajustement de courbes (curve_fit)\n", + "8. Importation d'un module pour faciliter l'ajustement entre des données et une fonction mathématique par la méthode des moindres carrés (leastsq)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline \n", + "import matplotlib.pyplot as plt \n", + "import pandas as pd \n", + "import numpy as np \n", + "import os\n", + "import urllib.request\n", + "from scipy.optimize import curve_fit\n", + "from scipy.optimize import leastsq" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les données d'évolution de la concentration de CO2 atmosphérique au cours du temps sont disponibles sur le site Web de l'institut Scripps. Nous les récupérons sous forme d'un fichier en format CSV dont chaque ligne correspond à une semaine de la période demandée (un point de donnée un jour pour chaque semaine). Nous téléchargeons le jeu de données complet, qui commence en 1958 et se termine en 2020. Il est indiqué que les données du site sont disponible gratuitement, à condition qu'un crédit approprié y soit accordé. De ce fait, nous nous devons de citer ces deux articles :\n", + "\n", + "C. D. Keeling, S. C. Piper, R. B. Bacastow, M. Wahlen, T. P. Whorf, M. Heimann, and H. A. Meijer, Exchanges of atmospheric CO2 and 13CO2 with the terrestrial biosphere and oceans from 1978 to 2000. I. Global aspects, SIO Reference Series, No. 01-06, Scripps Institution of Oceanography, San Diego, 88 pages, 2001.\n", + "\n", + "C. D. Keeling, S. C. Piper, R. B. Bacastow, M. Wahlen, T. P. Whorf, M. Heimann, and H. A. Meijer, Atmospheric CO2 and 13CO2 exchange with the terrestrial biosphere and oceans from 1978 to 2000: observations and carbon cycle implications, pages 83-113, in \"A History of Atmospheric CO2 and its effects on Plants, Animals, and Ecosystems\", editors, Ehleringer, J.R., T. E. Cerling, M. D. Dearing, Springer Verlag, New York, 2005." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Téléchargeons maintenant le jeu de données complet, et enregistrons le localement, à condition qu'il n'existe pas déjà un fichier local avec ces mêmes données :" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "data_url = \"https://scrippsco2.ucsd.edu/assets/data/atmospheric/stations/in_situ_co2/weekly/weekly_in_situ_co2_mlo.csv\"\n", + "data_file = \"daily_CO2.csv\" # donnons leur un nom .csv\n", + "if not os.path.exists(data_file): # si le fichier local n'existe pas déjà\n", + " urllib.request.urlretrieve(data_url, data_file) # alors on enregistre les données localement (via un URL local)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "NB : Le jeu de données a été téléchargé le 11/04/2020" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous regardons premièrement le fichier .csv téléchargé. Les 43 premières lignes sont composées de texte (date de mise en ligne des données, références à citer, composition du tableau de données) qu'il va donc falloir enlever via la commande skiprows." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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indicated by the date in the first column.
1958-03-29316.19
1958-04-05317.31
1958-04-12317.69
1958-04-19317.58
1958-04-26316.48
1958-05-03316.95
1958-05-17317.56
1958-05-24317.99
1958-07-05315.85
1958-07-12315.85
1958-07-19315.46
1958-07-26315.59
1958-08-02315.64
1958-08-09315.10
1958-08-16315.09
1958-08-30314.14
1958-09-06313.54
1958-11-08313.05
1958-11-15313.26
1958-11-22313.57
1958-11-29314.01
1958-12-06314.56
1958-12-13314.41
1958-12-20314.77
1958-12-27315.21
1959-01-03315.24
1959-01-10315.50
1959-01-17315.69
1959-01-24315.86
1959-01-31315.42
......
2019-07-06412.69
2019-07-13412.30
2019-07-20411.76
2019-07-27410.32
2019-08-03410.50
2019-08-10410.48
2019-08-17410.05
2019-08-24409.52
2019-08-31409.32
2019-09-07408.80
2019-09-14408.61
2019-09-21408.50
2019-09-28408.28
2019-10-05407.99
2019-10-12408.61
2019-10-19408.77
2019-10-26408.68
2019-11-02409.86
2019-11-09410.15
2019-11-16410.22
2019-11-23410.48
2019-11-30410.92
2019-12-07411.27
2019-12-14411.67
2019-12-21412.30
2019-12-28412.59
2020-01-04413.19
2020-01-11413.39
2020-01-25413.36
2020-02-01413.99
\n", + "

3156 rows × 1 columns

\n", + "
" + ], + "text/plain": [ + " indicated by the date in the first column. \n", + "1958-03-29 316.19 \n", + "1958-04-05 317.31 \n", + "1958-04-12 317.69 \n", + "1958-04-19 317.58 \n", + "1958-04-26 316.48 \n", + "1958-05-03 316.95 \n", + "1958-05-17 317.56 \n", + "1958-05-24 317.99 \n", + "1958-07-05 315.85 \n", + "1958-07-12 315.85 \n", + "1958-07-19 315.46 \n", + "1958-07-26 315.59 \n", + "1958-08-02 315.64 \n", + "1958-08-09 315.10 \n", + "1958-08-16 315.09 \n", + "1958-08-30 314.14 \n", + "1958-09-06 313.54 \n", + "1958-11-08 313.05 \n", + "1958-11-15 313.26 \n", + "1958-11-22 313.57 \n", + "1958-11-29 314.01 \n", + "1958-12-06 314.56 \n", + "1958-12-13 314.41 \n", + "1958-12-20 314.77 \n", + "1958-12-27 315.21 \n", + "1959-01-03 315.24 \n", + "1959-01-10 315.50 \n", + "1959-01-17 315.69 \n", + "1959-01-24 315.86 \n", + "1959-01-31 315.42 \n", + "... ... \n", + "2019-07-06 412.69 \n", + "2019-07-13 412.30 \n", + "2019-07-20 411.76 \n", + "2019-07-27 410.32 \n", + "2019-08-03 410.50 \n", + "2019-08-10 410.48 \n", + "2019-08-17 410.05 \n", + "2019-08-24 409.52 \n", + "2019-08-31 409.32 \n", + "2019-09-07 408.80 \n", + "2019-09-14 408.61 \n", + "2019-09-21 408.50 \n", + "2019-09-28 408.28 \n", + "2019-10-05 407.99 \n", + "2019-10-12 408.61 \n", + "2019-10-19 408.77 \n", + "2019-10-26 408.68 \n", + "2019-11-02 409.86 \n", + "2019-11-09 410.15 \n", + "2019-11-16 410.22 \n", + "2019-11-23 410.48 \n", + "2019-11-30 410.92 \n", + "2019-12-07 411.27 \n", + "2019-12-14 411.67 \n", + "2019-12-21 412.30 \n", + "2019-12-28 412.59 \n", + "2020-01-04 413.19 \n", + "2020-01-11 413.39 \n", + "2020-01-25 413.36 \n", + "2020-02-01 413.99 \n", + "\n", + "[3156 rows x 1 columns]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "raw_data = pd.read_csv(data_url,skiprows=43)\n", + "raw_data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On voit que les données sont composées de la façon suivante :\n", + "- colonne 1 : date en année-mois-jour. Du 29 mars 1958 au 01 février 2020. Avec une donnée par semaine, ajustée à à midi du jour médian de la période hebdomadaire.\n", + "- colonne 2 : la concentration de CO2 en micro-mole de CO2 par mole (ppm)\n", + "\n", + "Les données manquantes ne sont pas indiquées, il faudra donc les identifier d'une autre façon que visuellement.\n", + "\n", + "Nous observons que les dates sont vues ici par pandas comme des indices de ligne. De plus, les noms de colonne ne sont pas indiqués, les mots qui apparaissent sont ceux de la dernière ligne du texte du fichier .csv (\"indicated by the date in the first column\"). Nous allons donc changer cela pour mettre des noms de colonne adaptés, avec en première colonne la date, et en deuxième colonne la concentration en CO2." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "data = raw_data.reset_index()\n", + "data.columns = ['Date YYYY-MM-DD','[CO2] ppm']\n", + "# data # à décommenter si l'on veut voir la modification" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nos données temporelles utilisent une convention année-mois-jours. Nous écrivons une petite fonction Python pour cela. Ensuite, nous l'appliquons à tous les points de nos donnés. Les résultats vont dans une nouvelle colonne 'period'." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Convertissons l'objet colonne en datetime\n", + "datetime_period = pd.to_datetime(data['Date YYYY-MM-DD'])\n", + "# Puis en périodes d'une semaine (dimanche au lundi) contenant le jour indiqué dans la date colonne 1\n", + "data['Period'] = datetime_period.dt.to_period('W')\n", + "# data # à décommenter si l'on veut voir la modification" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il reste deux petites modifications à faire.\n", + "\n", + "Premièrement, nous définissons les périodes d'observation\n", + "comme nouvel index de notre jeux de données. Ceci en fait\n", + "une suite chronologique, ce qui sera pratique par la suite.\n", + "\n", + "Deuxièmement, nous trions les points par période, dans\n", + "le sens chronologique. Puis, par simplicité pour l'extrapolation que nous devons faire ensuite, nous créons une colonne \"elapsed weeks\" qui contient le temps accumulé à partir de zéro. " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Periodes comme index du jeu de données\n", + "data['Index_period'] = data['Period']\n", + "sorted_data = data.set_index('Index_period').sort_index()\n", + "# Temps accumulé\n", + "sorted_data['elapsed_weeks'] = sorted_data['Period'] - sorted_data['Period'].iloc[0]\n", + "sorted_data['elapsed_weeks'] = sorted_data['elapsed_weeks'].astype(str).astype(int)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous vérifions la cohérence des données. Entre la fin d'une période et\n", + "le début de la période qui suit, la différence temporelle doit être\n", + "zéro, ou au moins très faible. Nous laissons une \"marge d'erreur\"\n", + "d'une seconde." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1958-04-28/1958-05-04 1958-05-12/1958-05-18\n", + "1958-05-19/1958-05-25 1958-06-30/1958-07-06\n", + "1958-08-11/1958-08-17 1958-08-25/1958-08-31\n", + "1958-09-01/1958-09-07 1958-11-03/1958-11-09\n", + "1959-01-26/1959-02-01 1959-02-09/1959-02-15\n", + "1959-03-02/1959-03-08 1959-03-16/1959-03-22\n", + "1959-05-18/1959-05-24 1959-06-01/1959-06-07\n", + "1959-08-03/1959-08-09 1959-08-17/1959-08-23\n", + "1962-08-13/1962-08-19 1962-09-10/1962-09-16\n", + "1962-12-17/1962-12-23 1962-12-31/1963-01-06\n", + "1963-02-04/1963-02-10 1963-02-18/1963-02-24\n", + "1963-04-22/1963-04-28 1963-05-06/1963-05-12\n", + "1963-11-11/1963-11-17 1963-11-25/1963-12-01\n", + "1964-01-13/1964-01-19 1964-05-25/1964-05-31\n", + "1964-06-01/1964-06-07 1964-06-22/1964-06-28\n", + "1964-07-27/1964-08-02 1964-08-10/1964-08-16\n", + "1966-07-04/1966-07-10 1966-08-01/1966-08-07\n", + "1966-10-24/1966-10-30 1966-11-07/1966-11-13\n", + "1967-01-09/1967-01-15 1967-01-30/1967-02-05\n", + "1976-06-14/1976-06-20 1976-06-28/1976-07-04\n", + "1984-03-19/1984-03-25 1984-04-23/1984-04-29\n", + "1985-07-22/1985-07-28 1985-08-05/1985-08-11\n", + "2003-06-02/2003-06-08 2003-06-16/2003-06-22\n", + "2003-09-29/2003-10-05 2003-10-20/2003-10-26\n", + "2005-02-14/2005-02-20 2005-03-21/2005-03-27\n", + "2006-01-30/2006-02-05 2006-02-20/2006-02-26\n", + "2007-01-15/2007-01-21 2007-01-29/2007-02-04\n", + "2012-09-24/2012-09-30 2012-10-15/2012-10-21\n", + "2020-01-06/2020-01-12 2020-01-20/2020-01-26\n" + ] + } + ], + "source": [ + "periods = sorted_data.index\n", + "for p1, p2 in zip(periods[:-1], periods[1:]):\n", + " delta = p2.to_timestamp() - p1.end_time\n", + " if delta > pd.Timedelta('1s'):\n", + " print(p1, p2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous voyons là qu'il y a bien des données manquantes pour un certain nombre de périodes." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Visualisation des données" + ] + }, + { + "cell_type": "raw", + "metadata": {}, + "source": [ + "Un premier regard sur les données !" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "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": [ + "sorted_data['[CO2] ppm'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On aperçoit ici clairement l'évolution systématique de hausse quasi-exponentielle de la quantité de CO2 atmosphérique, attribuable à la hausse de combustion d'énergies fossiles depuis le début de la révolution industrielle, mais l'on devine aussi des variations de plus petite longueur d'onde. Un zoom sur les dernières années montre mieux encore ces variations que l'on devine alors saisonnières." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ej11eysWjvOBTx0j0WUnhV7pJiXOwKj+FLVqnBzytLgDWWc3fwsWkEr2I5APXAw95bzPGHDHGHBt5rDFmrzGmzvrxEBArIuE3lFER51yNvm/Mhl3VrT0ADLoND2+rHPWYMutinPcC7EgpccNLN42d4TuiB7hsURYHa9poc/ZPfHCEK6tqxWEXVhWkBjuUKZnsiP77wJeAqV6RuQ3Ya4zpG/kLEblXRMpEpKyxUVuiqtnnrdH3DLiGRvcjVbc4EYGrL8jm0R2ncfaff9yuyhai7bYxNw5JGaVG77BLyC+TH8vlizNxG/j7m83BDiXoyipbWD4/JaRbWIxmwkQvIjcADcaY3VN5YBFZBvw78LHRfm+MedAYs84Ysy4ra/SRkVL+5NtRcqzyTU1rD7nJsXzyylLaewb44ygrQ3dVtrKqYOwXe0qcg66+QQasXZqau/rISIgJixWxo1mVn0pSTNSc71HfO+DiQE37qOW6UDeZEf0m4CYRqQQeA64WkUfGu4NV6nkSuNsY8+aMowwjgy730AtchZbO3kG8EyXGqr9XtzrJT4tjbVEaq/JT+MUblbjd58o8zv7BCfd7TR3R76apq4/MMKzPe0XZbWwszWDL8aY53aO+vLadfpd7aHOWcDJhojfG3G+MyTfGFAPvAV4xxtw11vEikgo8C9xvjHnDb5GGic//fj/v//mOYIehRtHZN0hRRgIw9oi+trWHgrR4RIR7LltARVM3Lx8919hrX3Ubg27D+vESfbwnqbcPJfr+sK3Pe122KJPath4qm53BDiVoysL0QizMYB69iNwiIjXARuBZEfmL9atPAQuBfxaRfdZ/2X6INeQ1dPbyzIEz7KpsHbW2q4Krs3eA0qyxE/2Ay82Z9h7y0zzTJd++PJe8lFh+vvXU0DG7KloRgTXjvNiH2iD4jOgzEsI70W9e5CmvbpvDdfqyyhYWZCWE5XqIKSV6Y8xrxpgbrO+ftEb6McaYHGPMddbt3zbGJBhjVvv8Nyd6nT65pxaX2+ByG/ZXtwc7HDVCV+8gmYkxpMY7Rl00VdfWg9tAfno8AA67jQ9cWsz2Uy1D+7yWVVl9bca5sJri09jMGENzV39Yl24AitLjsduE2ra5OaJ3uw27q1rDcjQPujJ22nr6XfQOnNuUwRjD42XVQxsE79GVhCGns3eQxJgocpNjOdt+3kQwaqyplQVp8UO3vWd9IfHRdn6xtYJBl5s9Va0TXozzvgm0Owfo6Bmk3+UmKwxHgb5sNiE7KYb6jvP/bnPB4TMdtDoHwm6hlJcm+mn6xKO7uflHbwyVaHZXtXKqsZt7LithQWaCLhkPMQMuNz0DLpJiHeQkx45auvEulvKWbsCTtN+1roCn99fx2rFGuvtdXFwy/ovdezG2vWeAxjBeFTvSWH+3ueBPe2tx2IVrL8wJdijTool+mk43Ozl6tpOvPlnuGc3vqiYh2s71K+ZxUWEae0+3zekZCqGm25pamRTrGdGPmuhbndhtwryU4e2EP7ypBJcxfO1P5QBcXDz+x/dkn1bFzRGV6GNomIMj+kGXm6f213H1BdmkJYRnCU4T/TS1OPtJjXfw5N5aHtxyimcPnuHGVXkkxESxpiiV5u5+TrfMzXpmKOq0FkglxkaRkxJLU1cfgyOmwda09jAvJZYo+/CXRWFGPG9dmsPZjl7y0+KYlzK8t81IDruNxJgo2nsGhhqahXuNHqwRfefcG9FvPdlEY2cft1wU2huAj0cT/TQMuty09wxw9yVFXLkki397/ijOfhd3rCsA4KICz4hP6/Shw5vok2OjyEmOwW0YKqt4Vbc4h9XnfX3ksgUAk14skxLnoK2nP6wbmo2UkxxLm3Ng2LWpueCJPbWkxju46oLwXdipiX4aPLMpPG1nv/eu1cxPjeOC3CTWFHr6XyzJTSIh2s6eqrYgR6q8vO0PEmMcQzs9jVw0Vd3aQ0H66KP1dUVpfPG6JdyzuWRS50uJc9DuHKCpqw+bQFp8+I/os5M8b1ZzqXzT2TvAXw6d5caVecREhVfbA1/hsQ9WgH33xeOsnJ/CW5aOfuGl1WrulJYQTVpCNM9/9jIGXWZoibvd5ml6pCP60NHlU6NPtXlq6L51+t4BF42dfeSPMaIXEe67auGkz+dtbNbU1Ud6QjT2MOpdPpYc6w2yvrOXwozR/06R5vmDZ+kbdHPrmvnBDmVGdEQ/gjGGn77+Jo/uqBrzmJZuz+gw3RqlJcc6SB9xkWZNYRpHz3bqwqkQ4Vujz7UutvpOFRyaWjnGiH6qUuMdtPUM0NgZ/qtivYYS/RyaefPHPTWUZCawOsy6VY6kiX6Elu5++gbdHD7TMe4xAGkJYy+aWVOUisttOFDjWWjT7hygrq3Hv8GqSev0GdGnx0fjsMuwRVM1rZ4L52PV6KfKu8tUU1f47RU7lpxkz79jrsylr25xsqOihVsvmh+2Dem8tHQzQl2b58Vf39E35ovUm+hHjuJ9eS/IeufX//sLR4l12Nh+/zVh/6QJR94afVKMw1r8E0u9T43e24d+rNLNVCVbNfqYKBvFEVLmSIlzEB1lo2GOjOgf3XEam8Bta8N3to2XJvoRan1G3YfrOrh88flX2odq9ONcYEtLiGZBZgLfe/E4g24ztKqwqtlJcWaC/wNX4+rqHSTKJsQ6PB9ic5Jjho/oW5xE221DFxxnKjUumn6Xm7PtvREzohcRcpJj5kTppnfAxeO7TnPt0hzyUv1TzgsmLd2M4FteGat809LdT3y0fcLNB66+IJuUOAf/dccqfvWh9QDsrdYLtMHQ2TtIUmzU0Kep3JThi6ZqWnuYnxbntw2fvW0QBt2GTD+9eYSCnKTYOVG6efbAGVqdA3xgY3GwQ/ELTfQj1LX1EOuwkZcSy+G60RN9a3f/pKbLfeUdF1L2tbdw29p8luQmER9tZ99pnXIZDF19gyTGnvsA61nOfy5hefvQ+0tq/LnrN5Eyooe5s2jq4W2VLMxOZGNpRrBD8QtN9CPUtfeQlxrH0ryUsUf0zv5x6/NeNpsMm3K5Mj+FfdWa6IOhs3eApJhzyTcnOZauvsGhaZfVLU4K0v1XS/ftbpmRGP5z6L2y50AbhP3Vbeyvaef9lxRFzPU0TfQj1LX1Mj81jqV5yZxq7KKn//xVgK3d/dPqebG6II3DZzrm3MrCUNDRO3xEf27RVA+vHWug1Tng1xG9b6IP986VvnJHvEFGooe3VZEQbQ/7ufO+NNGPUNfWQ15KHEvnJeM2cKy+87xjWpz9ZEwr0acy4DLjTt1Us6Ord5DkEaUbgDv+Zxsf/OUuMhKi/dqZ0DfRR1rpBojYmTet3f38+UAdt67JJyk2PDdzH40meh99gy4aOvuYlxrLsrxkgFHr9K3dA9Na0n6R1SJB6/SB19k3QGLMuUS/MDuRhGg7i7KT+MF7VvP3+69mkbWXgD/41ugjrXQDjLpxSyR49uAZ+gfd3Lm+MNih+JVOr/RRb21GkZcaR35aHEmxURw+M3ynqL5BF119g6SPs1hqLDnJscxLiWWvT52+s3eAiqZuVuaH98q7UNfVOzhshJaVFEP5N66btRpsYkwUdpuQFBuFwx4546lzI/rIrNM/d/AMpVkJXDjPf2/6oSBynoF+4J1DPz81DhFh6bzk80b0bU7Pwpvp9qVeXZDKPp8plp97fD+3/eTvEV3zDDZjzND0Sl+zeaFNREiJc0RU2QYiuw1CU1cf2081c/2KeRFzEdZLE72PM+2eRO9dILE0L5mjZztxuc9tIDK0Knaa3QgvKkyluqWH5q4+XjvWwEtH6hlwGfZU6fz62dI36GbQbYZdjA2E1DgHmRFUtgHPJ5WEaHtEzqV/ofwsbgPvWDkv2KH4nSZ6H97FUt4dhpbOS8bZ76KquXvomNbuc50rp2O11RphV2Ur33zmMAXpcdjEs8O8mh0d3vYHAb64dse6Am4N480qxhKpc+mfO3iGBVkJQ/s+RxJN9D5q23rJSIgeWvG61Loge8infNPinLjPzXhWzE/BbhO+9cxhTjV2842blrE0L5mdmuhnTZfVuTIpJrAj+k9cWcq7Li4I6DkDwTOXPrISfSSXbUAT/TB1bT3D+losyk7CYZdh0yGHRvTTLN3ERdtZkpNEbVsPV1+QzdUX5HBxcTr7qtvoH3RP/ABqyrwtikfW6NX0jFxVHAm8ZZvrI7BsA5roh/Ek+nMbQ0dH2ViYncQRn0Tv7UXvO31uqtYVp+GwC/98w1LAsz1d74Cb8rr2Ce6ppsN7oTsxwCP6SJVjba5ujJn44DARyWUb0OmVQ4wx1LX1sHlR5rDbL8hNYvup5qGfW539JM9wytznr13CnesLKbG6WHr3IS2rbGFNYdq0H1eNrjNINfpIlZ0UQ9+gm44ezxvoxx/ZTUt3P4UZ8RSlx3PnhkJKsxKDHOXkecs29121MCLLNqAj+iEdvYN097vISxm+DH5JbhJn2ntpt6ZVNndPrs/NeFLiHVw4L3no56ykGEoyE9hZoTNvZkOHlm78yjvFsrath0/9bg9lVS3kp8VR1dzNr/5eyb89dyTIEU7Nz/52CreBm1blBTuUWaPPfIt3xs3I3tNLcj0f5Y7Vd7K+JH3afW4msq4ojZeO1ON2G7+1ylUeXZro/cqb6L/y5EH2Vbfx77et4N0Xe1aSfuuZwzy8rZL2noFhbSBCVXWLk19ureTWNfP9ujI61OiI3nIu0ccOu/3CXM/I++hZT52+pbt/2nPox3NxSTqtzgHebOzy+2PPRd6L5uCzX6zW6P3C2xBuX3UbH7y0eCjJA9ywch4DLsNfD50NVnhT8sALR7HZ4IvXLQl2KLNKE72lzmdVrK+c5BhS4hwcPetpbtbqnJ0RvbdOv6tSyzczVVbZwtpvvzi0qrmrb4A4h52oCGpFEEzZyTE47MKlpRl89foLh/1udUEq+Wlx/PnAmSBFN3lllS08e+AMH7u8lHkp4b+L1Hj0mW+pbevFYZfzlqyLCEtykzh2thNjjGdEPwuJvjgjnszEGF045Qflte24Dbx+vBFg1PYHavpiHXae/OQmHvrAuvMmJYgI16+cxxsnm4ZWkYcit9vwrWePkJ0Uw8euWBDscGadJnrLmfYeclNiR62PX5CbxPGznTj7XfQNuqc9h348IsL6kjRdOOUHlc1OgKHZUp0jdpdSM7d8fgrx0aP/TW9cmYfLbXihPPTKN8YYtp5o4r0PbWd/dRtfvG7JmP+OSKKJ3uLtQz+aJblJdPYNUl7rmec+nV70k7GmMI2aVk8fHDV9p1s8ib6ssoVBl9sa0Yf+hcFIsSwvmZLMBJ45UBfsUIapbnFy84//zl0/38Gpxm7+5Yal3LYm8lpUjGbSiV5E7CKyV0SesX6+Q0QOiYhbRNaNOPZ+ETkpIsdE5Dp/Bz0bvDtLjeYC64Ls39/0jBBno0YPDF31P9mgF2Rnoqq5m1iHje5+F+V1HXT1DgS8/cFcJiLcsHIe20810xBCPXEeeOEoJ+o7+c4ty9nypav48OaSOTPDbSoj+s8AvhNky4FbgS2+B4nIUuA9wDLgbcCPRcQ+wzhnVWfvAHXtPRRlJIz6e+8Uy21WKWA6vegnY1G2Z5HJCU300+ZyG6pbenjHcs9S9h2nmrVGHwQ3rMzDbeD5g6FRvjl6toPnDp7hQ5uKed+GoqF+VnPFpBK9iOQD1wMPeW8zxhwxxhwb5fB3Ao8ZY/qMMRXASWC9P4KdLQdr2zEGVhWkjPr7xJgo8tPihnaGmo0aPXi6ZiZE23VEPwNnO3rpd7lZV5xOaVYC208109U3qFMrA2xJbhKlWQm8dKQ+2KEA8IOXTpAQHcVHL4v8C6+jmeyI/vvAl4DJdN2aD1T7/Fxj3TaMiNwrImUiUtbY2DjJMGbH/mpP7X3VOLs8XZCbRL/L88+fjVk34PnIuzA7URP9DHhbShdlxLNhQQa7Kltp7xnQGn0QXLE4mx0VLfT0u4Iax+G6Dp4vP8uHNxWTOkuDtFA3YaIXkRuABmPM7kk+5mhFr/O6HxljHjTGrDPGrMvKyprkQ8+OfdWtFGXEj1t795ZvbALJs5g0FmYncaLh/A3J1eRUWTNuijLiuWRBBl19gzj7XVq6CYLLF2fSP+hmR0XzxAfPoh/olmgpAAAgAElEQVS8fJyk2Cju2Tw3R/MwuRH9JuAmEakEHgOuFpFHxjm+BvBtwp0PhNbl9xH2V7ezumD8PVu9F2TT4qNn9QLOopxE6jv6hjbLUFNT1ezEYRfmpcRxSUn60O2a6ANvQ0kG0VE2thxvCloMh+ra+cuheu7ZXELKDDrOhrsJE70x5n5jTL4xphjPRdZXjDF3jXOXp4H3iEiMiJQAi4Cdfol2Fpxt7+VsR++4ZRvwlG5g9mbceHkvyGr5ZnqqmrspSIvHbhOyk2NZYHUI1UQfeHHRdtYXp/O3E8ErzXrfZD6wsThoMYSCac+jF5FbRKQG2Ag8KyJ/ATDGHAL+FzgMvADcZ4wJWpFu0OXmH/9335hPtn3VngusqwvHT/TFmQlE222z0ufG10Jvoq/XRD8dVc1OijLih37esCADgMSYuTuaC6bLF2dyoqFrqMVIoNW0OkmLd8z6AC3UTSnRG2NeM8bcYH3/pDXSjzHG5BhjrvM57jvGmFJjzBJjzPP+DnoqKpudPLGnlg//ateoK/X217QRZROW+rQNHo3DbmNNUSoLskafgukv+WnxxETZtE4/Cc8fPMPtP/n7UAtpYwynW5zDpslessBTvkmO0xF9MFy+2HP9LVij+prWHvLT4ic+MMJF/MrY0y2eWRhZiTHc99s9PLWvdtjv91e3ceG85EnNq/3Vh9bzzXcun5U4vew2oTRLZ95MpKyyhc88vo+yqlZetKbwNXf309U3SGH6uRf2dctyuf/tF7Dep16vAmdJThI5yTFBq9PXtDrJT4vshmWTETGJvqGjl1Xf+Ot5TcFOW7MwfnfvJawvTuezj+/juYOeznout+FAzcQXYr1iHXaio2b/T7YwO1EXTY2jsqmbjz5cxvzUOHKSY4Za4npn3BRnnkv0sQ47H7uilJioubVAJlSICJctymLrySZc7sBuPWiMobatZ8wV73NJxCT6vdVttPcMnNcUrKrFSXy0ncL0eH75oYtZlZ/KV548SENnL6cau+jqG2TVJBN9oCzKTqSmtQdn/2CwQwk5bc5+PvSrXQD88oMXc92yXLacaKSn3zX06a0wfXbLa2pqLluUSXvPAAdq2gJ63ubufnoH3DqiJ4IS/Yl6T037zYbuYbefbnZSmB6PiBDrsPOfd6zC2e/iq0+Ws9d7IXaMFbHBsijHc0F25L9FwW93nqaiqZsH715HcWYCb12aS++Am7+daKSyyYkIFKTrCzuUXLYoCxF47Vhg6/Q1rZ4LwFqjj6BEf9yapXKqaXjJo6rFOaxmuzA7kc9fu5gXD9fzo1dPkhQTxYLM0NrIeGjmTaNekB2prLKV0qyEoY1aNixIJyk2ihcP13O6xUleSpyWaUJMekI0l5Zm8Is3Kqi2OosGQk2r51z5+sYfSYneO6LvwhhPLdDtNlS3DJ9uB/CRyxZwUWEqVc1OVhakhFwHu6KMBKJswgmdYjmM223Yc7qVdUXnLqw67DauuSCbl47Uc6qxa9ibugodD9y6Egx8+nd7GXBNppPKzHlH9Fqjj5BEP+hyc6qxm8SYKDp6B2m2drZp6Oyjb9BN4YiulHab8H9vX0Wsw8aGkoxghDwuh91GSWaCXpAd4VRTF23OAdYWpQ27/dqlubQ6B9hf037em7oKDQXp8Txw20r2Vbfx3RePB+ScNa1OUuIc2ueICEn0lc1O+l1urr4gG/CM6uFcg6vRRnkLsxPZ8sWr+PgVpYELdAoWZicO/TuUR5m1n+7a4uGJ/oolWURbW9qN1WpaBd/1K+dx5/oCfvLamwGZV1/b2qMXYi0Rkei9F2LfvjwXgFNNngRfZdUDi8b4OJ+dHBuQ6ZLTsSg7kcrmbjq1582Q3VWtpMU7htoaeCXGRLFpoeeTmY7oQ9u/3LCM4ox4vv/SiVk/V40m+iGhmeWm6Hh9FyKeVXgxUbahkXB1ixO7TZgfhv+zr7kwBwM88PzRYIcSMnZXtbK2KA2R86+pvN3aaMR7IVuFprhoOzetymPv6dahFc2zwRijq2J9REaib+ikIC2ehJgoSjITzo3om53kpcaet1N9OFhVkMo9m0p4dMdp3jgZvO5/oaK5q49TTd2sLRp9hevta/N54pOXstjajlGFriuWZOE2sHUWn9ct3f30DLh0RG8Jvww4ihP1nSy25p6XZifyZqNVox8xtTLcfOG6JSzITOBLfzhAV9/cXjy1x9rda92I+ryXzSasKRz9dyq0rMpPJSXOwevHG2btHLVtOuPGV9gn+v5Bz4wb78bapZkJVLc46Rt0cbq5O6xXScY67PzH7Supa+/hgeePTHyHMPTj107yzh9unfC4sqoWHHZhxfzQWtympi7KbmPzokxeP944NBXa33Sx1HBhn+grm7sZdBuWeBN9diJuA+W1HbQ6B8L+4ty64nQ+vKmER7afDuhik0DZd7qN/TXtnGkfv43t7spWls9PmXObOkeqKxZnUd/Rx9Gzs7Mo0LtYKhyvz82GsE/03oVS3rYB3lWurx/zfCwM59KN153rPRt2RWKtvr6zD4A9VWP3QekbdHGgtp11RVqaiRRXWO2LXz8+O9Msa1p7SI6NIiVO59BDRCT6LmwCpVlWorf6xb8SQYm+NCuRzMQYtp8K7t6bs6G+vRfwzKgZS3ltB/2D7vMWSqnwlZMcywW5Sbw+S/1vdMbNcGGf6E/Ud1KUkTD0kT4hJorc5FjKazuAyJhXLSJcsiCdbaeaZ62mGQwut6GxyzOi33167ES/7U3PJ5k1mugjyhVLsiirapmViQa1rT1atvER9on+eH3n0D6rXqXZnlF9ekJ0xCx/3liaQX1HHxVNkdPRsrmrD5fbkBLn4HBdO70D5+846XYbHi+rZkNJOtlJsUGIUs2WKxdnM+AybHvTv59UPXPodcMRX2Gd6PsGXVQ2O8+bO+2t0xdEQNnGa6O19+m2CCrf1Hd4RvNvXZrDgMtwsLb9vGO2nGikuqWH911SFOjw1CxbW5RGQrSdV47W+/Vx25wDdPe7tHTjI6wTfUVTNy63YXHu8ERfatXpx2p9EI5KMhPISY5h+6mWiQ8OE/Udnvr821d4WleMVqd/dMdpMhKieduy3IDGpmZfdJSNd6yYx/+W1bCzYmbP6+/+9RibHniFJ/fWUO1tT6wj+iFhneiTYh38w9ULuWjEDlELrAuzkVCf9/LU6TPY9mbk1OnPWol+6bwUijPiz0v0Z9p7ePlIPe+6uCBkexKpmfmXG5dSmB7Pp367h4bO3mk9xs+2nOK/XzlJv8vN5x7fzyce2QNoovcV1q+e+alx/ONbl5xXorlwXjIxUTaWR9jimo0LMmjq6hta+RvuGjp6sQlkJkazpiiNvadbh72JPbazGgPceXFh8IJUsyop1sFP7lpDR+8An/7tXgan2Kv+D7tr+M5zR7h+xTz+/uWr+fbNy+nsHcBuEy3d+AjrRD+WrKQYdn7lLbx1aU6wQ/GrjaXeOn1klG/OdvSSmRhDlN3G2qI0mrr6OW0tCht0uXls12kuX5RFYQR9MlPnuyA3mX+9ZQU7Klr4xp8PT3oT8TdONvFPfzzA5oWZfPfdq3DYbdx1SRGvfOFK/viJS3UOvY+ITPQAKfGOUbschrPC9HjmpcSy3c+zFIKlvqOPnGTPTBpvnxpv+eYPu2uo7+jjfRt0ND8X3Lomn49sLuE326t430PbaeiYuIzzW+v6zf+8f+2w7SMzE2NYPaKcO9dFbKKPRCLCxgUZbI+Q+fT1Hb1DiX5xThKJMVH87UQT9z9xgC8/cZCV+SlDm8moyPe1G5byn3esYn91O+/477/x9zfHXglujGFXZQsbSzNIjIkKYJThSRN9mNlYmkFzdz+H6jqCHcqMeRJ9DODZ3vGiwlSe3FvL47uq+fgVpfz+4xuJCsMW02r6bl+bz9Of2kRqfDQf/XXZmP2dTrc4aejsG9okXo1PX0Vh5i0X5hBlE57eXxfsUGakb9BFq3NgaEQPcPPq+awqSOX3H9/Il99+wbCP42ruWJSTxC8/eDEAX37iwKifXr3TMTXRT44m+jCTlhDNlUuyeXpf3aQvWoWiBmuxVK5Por9tbT5P3bdpzM1F1NxRkB7P/e+4kDdONvPbnafP+31ZZSspcY7zVsWr0WmiD0M3X5TH2Y5edoTxKlnvYqlsq3Sj1Ejv21DIpoUZ/OuzR84r4eyqbOHi4jRstsiacDFbNNGHobdcmENiTBR/2lcb7FCmzdv+IDdF+9eo0YkID9y6EoCv/ql86PYma1vJdVq2mTRN9GEo1mHnbctzef7g2VEbgYUD76rYHG1UpsZRkB7P565dzJbjjUPNz8oqtT4/VZrow9TNq+fT2TfIK0dnb9/N2dTQ0Ut0lI3UeF3UosZ31yVFZCfF8L2XjmOMYWdFKzFRNt1Wcgo00YepjaUZZCfF8OTe8CzfnLWmVkbaojblf7EOO5+8spSdFS1se7OZsqoWVhekav+jKZj0X0pE7CKyV0SesX5OF5EXReSE9TXNut0hIr8WkYMickRE7p+t4Ocyu024aVUerx1roM3ZH+xwpqy+o1fLNmrS3rO+kNzkWB544SiH6jq0bDNFU3lL/AxwxOfnLwMvG2MWAS9bPwPcAcQYY1YAa4GPiUjxzENVI71teS4DLjPjFq/B0NDRR45eiFWTFOuwc99VpRyoacflNlxcool+KiaV6EUkH7geeMjn5ncCv7a+/zVws/W9ARJEJAqIA/qB8F/GGYKW5aVgt8moG3aEMmOMp3SjI3o1Be+6uIC8lFhsAmsKtZfNVEy2ScT3gS8Bvjt85BhjzgAYY86IiLcpyR/wvAmcAeKBzxljzhtyisi9wL0AhYXauGo64qLtLMpO5EBNeCX6rr5BnP0uclN0Dr2avJgoO/9220rKa9sjZovQQJlwRC8iNwANxpjdk3zM9YALyANKgM+LyIKRBxljHjTGrDPGrMvKyppKzMrHyvwUDta2h1WTM+9iKd/2B0pNxhWLs7jvqoXBDiPsTKZ0swm4SUQqgceAq0XkEaBeROYBWF+98/zeC7xgjBkwxjQAbwDr/B65AmBFfiot3f3UtvUEO5RJ8y6W0s2+lQqMCRO9MeZ+Y0y+MaYYeA/wijHmLuBp4APWYR8AnrK+P43nzUBEJAG4BDjq98gVACutucQHw6h8c7bdM6LXVbFKBcZMJqI+AFwrIieAa62fAX4EJALlwC7gl8aYAzOKUo3pgnlJOOzC/jBK9PWd3tKN1uiVCoQpdew3xrwGvGZ93wxcM8oxXXimWKoAiImyc0FuMgdr24IdyqQ1dPSRFBtFfLRuGKFUIOjSsgiwIj+FAzXhc0H2dIuT+alxwQ5DqTlDE30EWDk/hc7eQaqaR9+NJ9QcO9vJopykiQ9USvmFJvoIsCLfc0H2QBgsnOrqG6S2rYclObphhFKBook+AizOSSI6ysbBmtCv05+o7wQ8MSulAkMTfQRw2G0snZccFitkT9R3AZrolQokTfQRYlV+CuW17bhDfB/ZY/WdxDpsFKTHBzsUpeYMTfQRYkV+Kt39Lp4vPxvSs2+O13eyKDsJu+71qVTAaKKPEFctyaI4I577fruH9/98J+UhemH2eH2nlm2UCjBN9BEiIzGGv3zucv7lhqUcqmvnxh9u5YXyM8EOa5g2Zz/1HX0s1hk3SgWUJvoIEhNl58ObS3j9S1exYn4KX37i4FCnyFBw3HshNldH9EoFkib6CJQc6+B7715N74CLL/7hQMjU7I9bUyuXaOlGqYDSRB+hSrMS+eo7LmTL8UZ+s70q2OEAnkSfFBPFPO1aqVRAaaKPYHddUsQVi7P4zrNHqGzqDnY4VuuDRER0xo1SgaSJPoKJCP9x+0oG3YbHy6qDGosxhuP1nSzR+rxSAaeJPsLlJMdyaWkGzx08E9RafVNXP63OARZla6JXKtA00c8B16+YR1Wzk0N1HUGLYehCrI7olQo4TfRzwHXLcrHbhGcPBm9e/XFtZqZU0GiinwPSEqKDXr45draTtHgHmYnRQTm/UnOZJvo5IpjlG2f/IC8cOsuGkgydcaNUEGiinyPeapVvngtC+eZ/d1XT5hzgo5eXBPzcSilN9HNGulW+eTbA5ZtBl5uHtlawtiiNtUXpATuvUuocTfRzSDDKN8+Vn6WmtYePXb4gYOdUSg2niX4OuXZpDgCvH28MyPmMMTy45U0WZCXwlgtzAnJOpdT5NNHPIRmJMSzISmBPVWtAzrftzWbKazu497IF2HSjEaWCRhP9HLO2MI09p1tnvU7/xskmvvzEQTITY7j5ovmzei6l1Pg00c8xa4vSaHUOUDFLTc4aOnv5h9/t5X0P7UAEfvy+NcQ67LNyLqXU5EQFOwAVWGuK0gDYXdXKgiz/7/T0qUf3sq+6jc9cs4hPXFmqSV6pEKAj+jlmYVYiSbFR7Dnt/zp9c1cfu6pa+ORVpXzu2sWa5JUKEZro5xibTVhTmMaeqja/P/aWE40YA1dfkO33x1ZKTZ8m+jlobVEaxxs6ae8Z8Ovjvnq0kczEaJbnpfj1cZVSM6OJfg5aU5iGMbCv2n+jepfbsOVEI5cvztKplEqFGE30c9CqghRs4rkg6y/7qttocw5w1RIt2ygVaiad6EXELiJ7ReQZ6+d0EXlRRE5YX9N8jl0pIttE5JCIHBQR3Q06hCTFOliSm8xeP16Qff1YAzaByxZl+u0xlVL+MZUR/WeAIz4/fxl42RizCHjZ+hkRiQIeAT5ujFkGXAn4txisZmxNYSp7T7fhcvtn4dSrxxpZU5hGarz2m1cq1Ewq0YtIPnA98JDPze8Efm19/2vgZuv7twIHjDH7AYwxzcYYl3/CVf6ytiiNrr7BoZ2fZqKhs5eDte1cuSTLD5EppfxtsiP67wNfAtw+t+UYY84AWF+9xdnFgBGRv4jIHhH50mgPKCL3ikiZiJQ1NgamyZY6Z621cGr7qeYZP9aW400AXKn1eaVC0oSJXkRuABqMMbsn+ZhRwGbgfdbXW0TkmpEHGWMeNMasM8asy8rSkWCgFabHc+G8ZH5fVjPjvjevHmsgOymGZXnJfopOKeVPkxnRbwJuEpFK4DHgahF5BKgXkXkA1tcG6/ga4HVjTJMxxgk8B6zxe+RqRkSE964v4PCZDg7Wtk/7cdqdA7x8pJ63LM3RbQKVClETJnpjzP3GmHxjTDHwHuAVY8xdwNPAB6zDPgA8ZX3/F2CliMRbF2avAA77PXI1Y++8aD6xDhu/21k97cf4/e5qegfcvG9DoR8jU0r500zm0T8AXCsiJ4BrrZ8xxrQC3wV2AfuAPcaYZ2caqPK/5FgHN6zM4+l9tXT3DU75/m634Tfbq1hXlMYyXQ2rVMiaUqI3xrxmjLnB+r7ZGHONMWaR9bXF57hHjDHLjDHLjTGjXoxVoeHO9QV097v48/66UX/vHmf65ZYTjVQ1O3n/xqLZCk8p5Qe6MnaOW1OYxqLsRH638/Sw240x/GF3Dev/9SXu++0eegfOnyH7m21VZCbG8Pbl8wIVrlJqGrQf/RwnIty5vpBvPnOYR3dUUZyRgAj84KUT7KhoYVF2Is8eOENDRy8/u3vd0IKo6hYnrxxr4NNXLSQ6SscLSoUyTfSKW9fM57svHuerT5YP3ZYS5+Dfbl3Bu9cV8Fz5Gf7x8f3c/j/b+PTVC7GJ8OLhemwivHeDlm2UCnWa6BWp8dG88U9Xc6ajhzbnAF29g6wpSiM9wTN6v2FlHpmJMdz7cBmfeWzf0P1uXJVHboq2MVIq1GmiVwCkxDtIiXeM+ftLFmSw9ctX09DRO3RbQXp8IEJTSs2QJno1acmxDpJjx34zUEqFJr2KppRSEU4TvVJKRThN9EopFeE00SulVITTRK+UUhFOE71SSkU4TfRKKRXhZKa7C/klCJFO4Jj1Ywow1Z0wpnqfQuD0hEf551yBjG0655vO39trqrGGcmzTOV+k/u0gtOOb7dimex+vQP7tlhhjkia8hzEm6P8BZT7fPziN+0/pPkDjDGKd6rkCFlsg4ptJrKEcW6jHF8jYQj2+2Y4t1OPzPd43d473XyiWbv4cgPu0TeMc0z1XIGObzvmm8/f2mmqsoRzbdM4XqX87CO34Zju26d7HK+T+dqFSuikzxqyL1PNNRSjHNlIoxxrKsYHGNxOhHBsENr7JnitURvQPRvj5piKUYxsplGMN5dhA45uJUI4NAhvfpM4VEiN6pZRSsydURvRKKaVmiSZ6pZSKcBGb6EXkFhExInJBsGMZj4h0TfD710QkaBeeRCRfRJ4SkRMi8qaI/EBEosc5/rMiErAdSSb6+wWTPgenL9Sfd9Y5Q/a5N1LEJnrgTmAr8J6p3ElE7LMTTvgREQGeAP5kjFkELAYSge+Mc7fPArr1lIc+B6dBn3f+F5GJXkQSgU3APVgvMhG5UkS2iMiTInJYRP5HRGzW77pE5JsisgPYGIR4rxSRZ3x+/qGIfDDQcYziaqDXGPNLAGOMC/gc8GERSRCR/xSRgyJyQEQ+LSL/AOQBr4rIq4EKUkQSReRlEdljxfNO6/ZiETkiIj8TkUMi8lcRiQtUTOhzcLrC4nkHofncG01EJnrgZuAFY8xxoEVE1li3rwc+D6wASoFbrdsTgHJjzAZjzNaARxu6lgG7fW8wxnTgWd79EaAEuMgYsxJ41Bjz30AdcJUx5qoAxtkL3GKMWQNcBfyXNSoEWAT8yBizDM9CltsCFJM+B6cvXJ53EJrPvfNEaqK/E3jM+v4x62eAncaYU9YI4XfAZut2F/DHwIYYFgQYbf6tAJcD/2OMGQQwxrQEMrBR4vlXETkAvATMB3Ks31UYY/ZZ3+8GigMUkz4Hpy9cnncQms+980Tc5uAikoHno99yETGAHc+T5jnOf/J4f+61XnjBMsjwN93YYAUywiFGjEJEJBkoAE4x+osxGN4HZAFrjTEDIlLJub9hn89xLmDWPz7rc3DGwuV5ByH23BtLJI7obwceNsYUGWOKjTEFQAWekdN6ESmx6qLvxnOhLBRUAUtFJEZEUoBrgh2Q5WUgXkTuhqGLhP8F/Ar4K/BxEYmyfpdu3acTmLibnn+lAA3WC+0qoCjA5x9Jn4MzEy7POwi9596oIjHR3wk8OeK2PwLvBbYBDwDleF54I48LKOvJ2meMqQb+FzgAPArsDWZcXsazbPoW4A4ROQEcx1OT/ArwEJ6a6QER2Y/n7wueJdnPB+KimPfvh+dvtk5EyvCMsI7O9rknoM/BGQj15x2E9HNvVHOmBYKIXAl8wRhzQ7Bj8RKRVcDPjDHrgx1LOAq3v58+ByNHuP3dInFEHxZE5ON4LsZ9LdixhCP9+82c/g2nJxz/bnNmRK+UUnOVjuiVUirCaaJXYUFECkTkVWu14SER+Yx1e7qIvCienigvikiadXuGdXyXiPxwxGO921pVeUhE/iMY/x4VPqbx3LtWRHZbK2V3i8jVPo+11rr9pIj8t8/iqlmliV6Fi0Hg88aYC4FLgPtEZCnwZeBlqyfKy9bP4Jml8c/AF3wfxJrj/n+Ba6wVizkiEirTWVVomupzrwm40RizAvgA8Bufx/oJcC+eVbOLgLcF4h+giV6FBWPMGWPMHuv7TuAInlWI7wR+bR32azytBzDGdFutBHpHPNQC4LgxptH6+SWCuDRdhb5pPPf2GmPqrNsPAbHW+oR5QLIxZps1hfRh731mmyZ6FXZEpBi4CNgB5BhjzoDnBQlkT3D3k8AFVtOpKDwvtILZi1ZFkmk8924D9hpj+vC8OdT4/K7Gum3WRVwLBBXZxNMV8o/AZ40xHVMtcRpjWkXkE8DjgBv4O55RvlLjmupzT0SWAf8OvNV70yiHBWTao47oVdgQEQeeF9qjxpgnrJvrrY/EWF8bJnocY8yfrS6RG4FjwInZillFhqk+90QkH8+q57uNMW9aN9cA+T4Pm4+n6+as00SvwoI1O+HnwBFjzHd9fvU0ngteWF+fmsRjZVtf04BP4llWr9SopvrcE5FU4FngfmPMG96DrfJOp4hcYj3m3Uzi+eoPumBKhQUR2Qz8DTiIp+QCnt4nO/D0aCnE0wPlDm/rWquTYDIQjacf+FuNMYdF5HfAKusxvmmM8bYTVuo8U33uicjXgPsZ/knxrcaYBvFsyfgrPJ0snwc+bQKQhDXRK6VUhNPSjVJKRThN9EopFeE00SulVITTRK+UUhFOE71SSkU4TfRKKRXhNNGrsCAiXVM8/koReWa24pkOEXnOWkwz2eO/LiJfmPhIpcanvW6UmmXWKkgxxrwj2LGouUlH9CqsWCP110TkDyJyVEQe9W7eICJvs27bCtzqc58EEfmFiOwSkb0i8k7r9n8UkV9Y368QkXIRiR/jvF8Xkd+IyCvWRhMf9fndF63HPiAi37BuK7Y2qvgxsAcoEJFKEcn0OXe59d9nfR7rqyJyTEReApb4+++n5iYd0atwdBGwDE9DqDeATSJSBvwMuBpPK+LHfY7/KvCKMebDVulkp5VIvw+8JiK3WMd8zBjjHOe8K/FsPJEA7BWRZ4HleDaQWI+nO+HTInI5niXxS4APGWM+CeDtdigia4EPARus++wQkdfxDLzeY/37ovC8Qeye7h9JKS9N9Coc7TTG1ACIyD6gGOgCKowxJ6zbH8Gzkw942sTe5FPvjgUKjTFHROSDwAHgp74NqMbwlDGmB+gRkVfxJPfN1uPvtY5JxJP4TwNVxpjtozzOZuBJY0y3FesTwGV4Ev2T3jcbEXl6kn8PpcaliV6Foz6f712cex6P1bhJgNuMMcdG+d0iPG8SeZM478jHN9Zj/5sx5qfDTujZoKJ7nHgmew6lZkxr9CpSHAVKRKTU+vlOn9/9Bfi0Ty3/IutrCvAD4HIgQ0Run+Ac7xSRWGvf2SuBXdZjf9jalAIRme9tgzyOLcDNIhIvIgnALXi6I24BbhGROBFJAm6czD9cqYnoiF5FBGNMr4jcC5idNJ4AAACySURBVDwrIk3AVjz1c4Bv4anHH7CSfSVwA/A94MfGmOMicg/wqohsMcaMtXnJTjx9xguBb1n7gtaJyIXANut9pAu4C88njbFi3SMiv7IeD+AhY8xeABF5HNgHVOFJ/krNmLYpVmoSROTrQJcx5j+DHYtSU6WlG6WUinBaulHKh4h8CPjMiJvfMMbcF4x4lPIHLd0opVSE09KNUkpFOE30SikV4TTRK6VUhNNEr5RSEe7/AyQx8vJOfgQKAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sorted_data['[CO2] ppm'][-100:].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous voyons alors apparaître des pics de haute concentration de CO2 atmosphérique au printemps (mai), et des pics de plus basse concentration en automne (octobre) que l'on peut associer au captage du CO2 par la végétation mondiale dans l'hémisphère nord, où sont situées la majeure partie des terres émergées. A partir du printemps, les plantes se développent et captent le CO2 atmosphérique afin de réaliser leur photosynthèse : la concentration de CO2 atmosphérique mondiale décroît, jusqu'en automne où la végétation entre en repos et où en conséquence la concentration de CO2 atmosphérique commence à ré-augmenter. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Caractérisation de l'évolution lente" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Maintenant, nous allons ajuster un polynôme à la tendance globale systématique afin d'une part, d'isoler cette tendance des variations saisonnières, et d'autre part de prolonger la tendance jusqu'en 2050." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,0,'Date')" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Choix des axes \n", + "y_values = sorted_data['[CO2] ppm']\n", + "x_values = sorted_data['elapsed_weeks']\n", + "# Choix du degré du polynôme ajusté aux données (choisi à 3 par essais-erreurs)\n", + "poly_degree = 3\n", + "# Rangeons les dates par ordre chronologique\n", + "sorted_datetime = datetime_period.sort_index()\n", + "# Créons le polynôme avec la fonction polyfit\n", + "coeffs = np.polyfit(x_values, y_values, poly_degree)\n", + "# Enregistrons ces coefs dans la variable poly_eqn\n", + "poly_eqn = np.poly1d(coeffs)\n", + "# Enregistrons les valeurs y (les concentrations en CO2 ajustées par le polynôme) dans y_hat\n", + "y_hat = poly_eqn(x_values)\n", + "\n", + "# Visualisons :\n", + "plt.figure(figsize=(12,8))\n", + "plt.plot(sorted_datetime, sorted_data['[CO2] ppm'])\n", + "plt.plot(sorted_datetime,y_hat)\n", + "plt.title('Curve fitting polynome of deg = 3')\n", + "plt.ylabel('CO2 - ppm')\n", + "plt.xlabel('Date')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous proposons donc un modèle simple pour l'évolution lente, comme un polynome de degré 3, et d'équation : y(x) = a + b.x + c.x2 + d.x3 avec les paramètres a = 3.14e+02; b = 1.59e-02; c = 3.86e-06; d = 1.87e-10 (arrondis à deux chiffres après la virgule)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Caractérisation de l'oscillation périodique" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous soustrayons l'évolution lente ajustée par le polynome aux données pour ne visualiser que l'impact saisonnier. " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "season = sorted_data['[CO2] ppm'] - y_hat\n", + "plt.plot(sorted_datetime, season)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "NB : On observe que malgré ce traitement, il reste encore une variation de plus grande longueur d'onde que les variations saisonnières." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Observons de plus près les variations saisonnières ainsi corrigées (zoom sur les 2 dernières années) :" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "season[-100:].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Maintenant, enlevons la tendance sinusoïdale de grande longueur d'onde (période d'~35 ans) que l'on observe.\n", + "On va faire cela en créant une fonction sinusoïdale de paramètres : pulsation, fréquence et phase qui correspond à première vue assez bien aux observations. Ensuite, nous allons ajuster cette fonction à nos données par la méthode des moindres carrés. Enfin, nous oterons ce signal ainsi caractérisé aux données \"season\" afin de les caractériser plus proprement." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Ajustement de la tendance grande longueur d'onde\n", + "\n", + "# Définitions des données x et y\n", + "x_values = sorted_data['elapsed_weeks']\n", + "y_values = season\n", + "\n", + "# Paramètres que nous proposons pour la fonction sinusoïdale\n", + "guess_phase = np.pi/1.5\n", + "guess_puls = 2*np.pi/(52*35)\n", + "guess_amp = 2\n", + "\n", + "# Création de la fonction\n", + "data_first_guess = guess_amp*np.sin(guess_puls*x_values+guess_phase)\n", + "\n", + "# Définition de la fonction à optimiser, ici c'est la différence entre la sinusoïde \n", + "# que nous venons de créer et les données saisonnières\n", + "optimize_func = lambda x: x[0]*np.sin(x[1]*x_values+x[2]) - y_values\n", + "# Optimisation des paramètres de la sinusoïde par méthode des moindres carrés\n", + "est_amp, est_puls, est_phase = leastsq(optimize_func, [guess_amp, guess_puls, guess_phase])[0]\n", + "\n", + "# Nouvelle fonction optimisée\n", + "data_fit = est_amp*np.sin(est_puls*x_values+est_phase)\n", + "\n", + "# Pour visualiser les deux fonctions et les données\n", + "plt.plot(sorted_datetime,y_values,label='données') \n", + "plt.plot(sorted_datetime,data_first_guess,label='première estimation') \n", + "plt.plot(sorted_datetime,data_fit,label='meilleur ajustement')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Enlevons la tendance grande longueur d'onde à nos données saisonnières\n", + "really_seasonal = y_values - data_fit\n", + "plt.plot(sorted_datetime,really_seasonal,label='données') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous allons maintenant essayer d'ajuster la courbe de variations saisonnières ainsi corrigée avec une fonction sinusoïdale afin de mieux caractériser les paramètres de cette tendance saisonnière. Pour cela, nous commençons par créer une fonction sinusoïdale avec des paramètres supposés issus de l'observation des graphiques ci-dessus." + ] + }, + { + "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": [ + "# Définitions des données x et y\n", + "x_values = sorted_data['elapsed_weeks']\n", + "y_values = really_seasonal\n", + "\n", + "# Paramètres que nous proposons pour la fonction sinusoïdale\n", + "guess_phase = 0\n", + "guess_puls = 2*np.pi/52\n", + "guess_amp = 4\n", + "\n", + "# Création de la fonction\n", + "data_first_guess = guess_amp*np.sin(guess_puls*x_values+guess_phase)\n", + "\n", + "# Visualisation de la sinusoïde sur les données depuis 2010 (zoom pour y voir plus clair)\n", + "plt.plot(sorted_datetime[-500:],y_values[-500:],label='données') \n", + "plt.plot(sorted_datetime[-500:],data_first_guess[-500:],label='première estimation') \n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Définition de la fonction à optimiser, ici c'est la différence entre la sinusoïde \n", + "# que nous venons de créer et les données saisonnières\n", + "optimize_func = lambda x: x[0]*np.sin(x[1]*x_values+x[2]) - y_values\n", + "# Optimisation des paramètres de la sinusoïde par méthode des moindres carrés\n", + "est_amp, est_puls, est_phase = leastsq(optimize_func, [guess_amp, guess_puls, guess_phase])[0]\n", + "\n", + "# Nouvelle fonction optimisée\n", + "data_fit = est_amp*np.sin(est_puls*x_values+est_phase)\n", + "\n", + "# Visualisation de cette fonction sur les données depuis 2010 (zoom pour y voir plus clair)\n", + "plt.plot(sorted_datetime[-500:],y_values[-500:],label='données') \n", + "plt.plot(sorted_datetime[-500:],data_fit[-500:],label='meilleur ajustement')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Pour visualiser les deux tendances\n", + "plt.plot(sorted_datetime[-500:],y_values[-500:],label='données') \n", + "plt.plot(sorted_datetime[-500:],data_first_guess[-500:],label='première estimation') \n", + "plt.plot(sorted_datetime[-500:],data_fit[-500:],label='meilleur ajustement')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Visualisation avec les données ponctuelles\n", + "plt.plot(sorted_datetime[-500:],y_values[-500:],'.',label='données') \n", + "plt.plot(sorted_datetime[-500:],data_first_guess[-500:],label='première estimation') \n", + "plt.plot(sorted_datetime[-500:],data_fit[-500:],label='meilleur ajustement')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "NB : cet ajustement semble visuellement moins bon que la première sinusoïde proposée, mais attention, on ne visualise ici qu'une partie des données, alors que l'optimisation se fait sur l'ensemble des données." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Pour visualiser les deux tendances sur une autre période de temps , et plus longue\n", + "plt.plot(sorted_datetime[-2000 : -1000],y_values[-2000 : -1000],label='données') \n", + "plt.plot(sorted_datetime[-2000 : -1000],data_first_guess[-2000 : -1000],label='première estimation') \n", + "plt.plot(sorted_datetime[-2000 : -1000],data_fit[-2000 : -1000],label='meilleur ajustement')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous proposons donc un modèle très simple pour l'évolution saisonnière, comme une variation sinusoïdale de paramètres : amplitude = 2.86 ; fréquence = pulsation/2/pi = 0.019 (=> de période T = 1/f = 52.15 semaines soit environ 1 an) ; déphasage = 1.07 . " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extrapolation de la tendance globale lente jusqu'en 2025" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous allons maintenant créer un nouveau tableau (pandas dataframe) afin d'extrapoler les courbes jusqu'en 2025" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,0,'Date')" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Poursuite du tableau de temps\n", + "from datetime import datetime, timedelta\n", + "new_times = pd.date_range('2020-02-02', '2025-02-02', freq='W').to_datetime()\n", + "extrapolated_dates = np.append(datetime_period,new_times) \n", + "\n", + "# Création d'un nouveau tableau pandas avec les dates allant jusqu'en 2025\n", + "interp_data = pd.DataFrame(data=extrapolated_dates, columns=[\"Date YYYY-MM-DD\"])\n", + "# Création d'une colonne de ces périodes\n", + "interp_data['interp_period'] = interp_data[\"Date YYYY-MM-DD\"].dt.to_period('W')\n", + "interp_data\n", + "# Mettons ces périodes en semaines écoulés depuis la première donnée\n", + "interp_data['elapsed_interp_weeks'] = interp_data['interp_period'] - interp_data['interp_period'].iloc[0]\n", + "interp_data['elapsed_interp_weeks'] = interp_data['elapsed_interp_weeks'].astype(str).astype(int) \n", + "\n", + "# Visualisation\n", + "x = interp_data['elapsed_interp_weeks']\n", + "y = [] #y_hat\n", + "for i in range(len(x)):\n", + " y.append(coeffs[0]*x[i]**3 + coeffs[1]*x[i]**2 + coeffs[2]*x[i] + coeffs[3])\n", + "\n", + "plot_datetime = interp_data[\"Date YYYY-MM-DD\"].sort_index()\n", + "\n", + "plt.figure(figsize=(12,8))\n", + "plt.plot(plot_datetime,y)\n", + "plt.plot(sorted_datetime, sorted_data['[CO2] ppm'])\n", + "plt.title('Curve fitting polynome of deg = 3 interpolation')\n", + "plt.ylabel('CO2 interpolated 2020-2025 - ppm')\n", + "plt.xlabel('Date')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Voici donc la tendance que nous proposons jusqu'en 2025 par interpolation des données sur ces 60 et quelques dernières années. Cependant, il est possible (et beau ? et trop optimiste ?) de penser que cette crise du CoVid-19 qui touche actuellement notre planète depuis février, avec ce qu'elle implique de blocage du traffic aérien et routier pour beaucoup de civils, ainsi que l'arrêt ou diminution de la production pour un grand nombre d'entreprises émettrices de gaz à effet de serre de par le monde, aura une influence sur la concentration en CO2 dans l'atmosphère. Sur le tendance saisonnière, très certainement, nous devrions apercevoir une diminution de la concentration en CO2 par rapport aux autres années. Sur la tendance globale, il faudrait plus de deux mois de ce changement de l'activité humaine...mais pouvons nous espérer un changement dans les mentalités à notre sortie du confinement, qui encrerait ce changement d'habitudes dans le temps ?\n", + "Plus d'infos sur dans l'article de National Geograohic du 7 avril 2020 : https://www.nationalgeographic.fr/environnement/2020/04/coronavirus-les-emissions-carbone-en-chute-libre-mais-pour-combien-de-temps\n", + "Ou encore de Ouest France : https://www.ouest-france.fr/leditiondusoir/data/82939/reader/reader.html#!preferred/1/package/82939/pub/117257/page/6\n", + "Ou bien de Climate Home News directement d'après les données de l'observatoire du Mauna Loa : https://www.climatechangenews.com/2020/03/26/coronavirus-hawaii-scientists-seek-signs-economic-slowdown-air/" + ] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +1214,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - -- 2.18.1