{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sujet 1 : Concentration de CO2 dans l'atmosphère depuis 1958" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En 1958, Charles David Keeling a initié une mesure de la concentration de CO2 dans l'atmosphère à l'observatoire de Mauna Loa, Hawaii, États-Unis qui continue jusqu'à aujourd'hui. L'objectif initial était d'étudier la variation saisonnière, mais l'intérêt s'est déplacé plus tard vers l'étude de la tendance croissante dans le contexte du changement climatique. En honneur à Keeling, ce jeu de données est souvent appelé \"Keeling Curve\" (voir [la source sur wikepedia](https://en.wikipedia.org/wiki/Keeling_Curve) pour l'histoire et l'importance de ces données)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# common imports\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import isoweek\n", "import os\n", "import urllib.request\n", "from datetime import date\n", "import time\n", "import numpy as np\n", "\n", "today = date.today()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data_url = \"https://scrippsco2.ucsd.edu/assets/data/atmospheric/stations/in_situ_co2/monthly/monthly_in_situ_co2_mlo.csv\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On récupère les données sur le [site de scrippsco2](https://scrippsco2.ucsd.edu/data/atmospheric_co2/primary_mlo_co2_record.html)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "file downloaded on Wed Apr 8 12:59:10 2020\n" ] } ], "source": [ "data_file =\"monthly_in_situ_co2_mlo.csv\"\n", "\n", "if not os.path.exists(data_file):\n", " urllib.request.urlretrieve(data_url, data_file)\n", "modtime=os.path.getmtime(data_file)\n", "modtime=time.ctime(modtime)\n", "print('file downloaded on',modtime)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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YrMnDateDateCO2seasonallyfitseasonallyCO2seasonally
0adjustedadjusted fitfilledadjusted filled
1Excel[ppm][ppm][ppm][ppm][ppm][ppm]
2195801212001958.0411-99.99-99.99-99.99-99.99-99.99-99.99
3195802212311958.1260-99.99-99.99-99.99-99.99-99.99-99.99
4195803212591958.2027315.70314.44316.19314.91315.70314.44
5195804212901958.2877317.45315.16317.30314.99317.45315.16
6195805213201958.3699317.51314.71317.86315.06317.51314.71
7195806213511958.4548-99.99-99.99317.24315.14317.24315.14
8195807213811958.5370315.86315.19315.86315.22315.86315.19
9195808214121958.6219314.93316.19314.00315.29314.93316.19
10195809214431958.7068313.21316.08312.46315.35313.21316.08
11195810214731958.7890-99.99-99.99312.44315.40312.44315.40
12195811215041958.8740313.33315.20313.62315.46313.33315.20
13195812215341958.9562314.67315.43314.77315.51314.67315.43
14195901215651959.0411315.58315.54315.62315.57315.58315.54
15195902215961959.1260316.49315.86316.27315.63316.49315.86
16195903216241959.2027316.65315.38316.98315.69316.65315.38
17195904216551959.2877317.72315.42318.09315.77317.72315.42
18195905216851959.3699318.29315.49318.65315.85318.29315.49
19195906217161959.4548318.15316.03318.04315.94318.15316.03
20195907217461959.5370316.54315.86316.67316.03316.54315.86
21195908217771959.6219314.80316.06314.83316.12314.80316.06
22195909218081959.7068313.84316.72313.32316.22313.84316.72
23195910218381959.7890313.33316.32313.33316.30313.33316.32
24195911218691959.8740314.81316.68314.54316.39314.81316.68
25195912218991959.9562315.58316.35315.72316.47315.58316.35
26196001219301960.0410316.43316.39316.61316.56316.43316.39
27196002219611960.1257316.98316.35317.27316.64316.98316.35
28196003219901960.2049317.58316.28318.03316.71317.58316.28
29196004220211960.2896319.03316.70319.14316.79319.03316.70
.................................
728201807432962018.5370408.90408.08409.43408.65408.90408.08
729201808433272018.6219407.10408.63407.33408.91407.10408.63
730201809433582018.7068405.59409.09405.66409.18405.59409.09
731201810433882018.7890405.99409.62405.83409.44405.99409.62
732201811434192018.8740408.12410.39407.47409.72408.12410.39
733201812434492018.9562409.23410.16409.07409.97409.23410.16
734201901434802019.0411410.92410.87410.29410.23410.92410.87
735201902435112019.1260411.66410.90411.24410.47411.66410.90
736201903435392019.2027412.00410.45412.25410.68412.00410.45
737201904435702019.2877413.52410.72413.73410.91413.52410.72
738201905436002019.3699414.83411.42414.54411.13414.83411.42
739201906436312019.4548413.96411.38413.91411.35413.96411.38
740201907436612019.5370411.85411.03412.36411.57411.85411.03
741201908436922019.6219410.08411.62410.23411.81410.08411.62
742201909437232019.7068408.55412.06408.52412.05408.55412.06
743201910437532019.7890408.43412.07408.67412.29408.43412.07
744201911437842019.8740410.28412.56410.29412.54410.28412.56
745201912438142019.9562411.85412.78411.88412.79411.85412.78
746202001438452020.0410413.37413.33413.11413.05413.37413.33
747202002438762020.1257-99.99-99.99-99.99-99.99-99.99-99.99
748202003439052020.2049-99.99-99.99-99.99-99.99-99.99-99.99
749202004439362020.2896-99.99-99.99-99.99-99.99-99.99-99.99
750202005439662020.3716-99.99-99.99-99.99-99.99-99.99-99.99
751202006439972020.4563-99.99-99.99-99.99-99.99-99.99-99.99
752202007440272020.5383-99.99-99.99-99.99-99.99-99.99-99.99
753202008440582020.6230-99.99-99.99-99.99-99.99-99.99-99.99
754202009440892020.7077-99.99-99.99-99.99-99.99-99.99-99.99
755202010441192020.7896-99.99-99.99-99.99-99.99-99.99-99.99
756202011441502020.8743-99.99-99.99-99.99-99.99-99.99-99.99
757202012441802020.9563-99.99-99.99-99.99-99.99-99.99-99.99
\n", "

758 rows × 10 columns

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" ], "text/plain": [ " Yr Mn Date Date CO2 seasonally fit \\\n", "0 adjusted \n", "1 Excel [ppm] [ppm] [ppm] \n", "2 1958 01 21200 1958.0411 -99.99 -99.99 -99.99 \n", "3 1958 02 21231 1958.1260 -99.99 -99.99 -99.99 \n", "4 1958 03 21259 1958.2027 315.70 314.44 316.19 \n", "5 1958 04 21290 1958.2877 317.45 315.16 317.30 \n", "6 1958 05 21320 1958.3699 317.51 314.71 317.86 \n", "7 1958 06 21351 1958.4548 -99.99 -99.99 317.24 \n", "8 1958 07 21381 1958.5370 315.86 315.19 315.86 \n", "9 1958 08 21412 1958.6219 314.93 316.19 314.00 \n", "10 1958 09 21443 1958.7068 313.21 316.08 312.46 \n", "11 1958 10 21473 1958.7890 -99.99 -99.99 312.44 \n", "12 1958 11 21504 1958.8740 313.33 315.20 313.62 \n", "13 1958 12 21534 1958.9562 314.67 315.43 314.77 \n", "14 1959 01 21565 1959.0411 315.58 315.54 315.62 \n", "15 1959 02 21596 1959.1260 316.49 315.86 316.27 \n", "16 1959 03 21624 1959.2027 316.65 315.38 316.98 \n", "17 1959 04 21655 1959.2877 317.72 315.42 318.09 \n", "18 1959 05 21685 1959.3699 318.29 315.49 318.65 \n", "19 1959 06 21716 1959.4548 318.15 316.03 318.04 \n", "20 1959 07 21746 1959.5370 316.54 315.86 316.67 \n", "21 1959 08 21777 1959.6219 314.80 316.06 314.83 \n", "22 1959 09 21808 1959.7068 313.84 316.72 313.32 \n", "23 1959 10 21838 1959.7890 313.33 316.32 313.33 \n", "24 1959 11 21869 1959.8740 314.81 316.68 314.54 \n", "25 1959 12 21899 1959.9562 315.58 316.35 315.72 \n", "26 1960 01 21930 1960.0410 316.43 316.39 316.61 \n", "27 1960 02 21961 1960.1257 316.98 316.35 317.27 \n", "28 1960 03 21990 1960.2049 317.58 316.28 318.03 \n", "29 1960 04 22021 1960.2896 319.03 316.70 319.14 \n", ".. ... ... ... ... ... ... ... \n", "728 2018 07 43296 2018.5370 408.90 408.08 409.43 \n", "729 2018 08 43327 2018.6219 407.10 408.63 407.33 \n", "730 2018 09 43358 2018.7068 405.59 409.09 405.66 \n", "731 2018 10 43388 2018.7890 405.99 409.62 405.83 \n", "732 2018 11 43419 2018.8740 408.12 410.39 407.47 \n", "733 2018 12 43449 2018.9562 409.23 410.16 409.07 \n", "734 2019 01 43480 2019.0411 410.92 410.87 410.29 \n", "735 2019 02 43511 2019.1260 411.66 410.90 411.24 \n", "736 2019 03 43539 2019.2027 412.00 410.45 412.25 \n", "737 2019 04 43570 2019.2877 413.52 410.72 413.73 \n", "738 2019 05 43600 2019.3699 414.83 411.42 414.54 \n", "739 2019 06 43631 2019.4548 413.96 411.38 413.91 \n", "740 2019 07 43661 2019.5370 411.85 411.03 412.36 \n", "741 2019 08 43692 2019.6219 410.08 411.62 410.23 \n", "742 2019 09 43723 2019.7068 408.55 412.06 408.52 \n", "743 2019 10 43753 2019.7890 408.43 412.07 408.67 \n", "744 2019 11 43784 2019.8740 410.28 412.56 410.29 \n", "745 2019 12 43814 2019.9562 411.85 412.78 411.88 \n", "746 2020 01 43845 2020.0410 413.37 413.33 413.11 \n", "747 2020 02 43876 2020.1257 -99.99 -99.99 -99.99 \n", "748 2020 03 43905 2020.2049 -99.99 -99.99 -99.99 \n", "749 2020 04 43936 2020.2896 -99.99 -99.99 -99.99 \n", "750 2020 05 43966 2020.3716 -99.99 -99.99 -99.99 \n", "751 2020 06 43997 2020.4563 -99.99 -99.99 -99.99 \n", "752 2020 07 44027 2020.5383 -99.99 -99.99 -99.99 \n", "753 2020 08 44058 2020.6230 -99.99 -99.99 -99.99 \n", "754 2020 09 44089 2020.7077 -99.99 -99.99 -99.99 \n", "755 2020 10 44119 2020.7896 -99.99 -99.99 -99.99 \n", "756 2020 11 44150 2020.8743 -99.99 -99.99 -99.99 \n", "757 2020 12 44180 2020.9563 -99.99 -99.99 -99.99 \n", "\n", " seasonally CO2 seasonally \n", "0 adjusted fit filled adjusted filled \n", "1 [ppm] [ppm] [ppm] \n", "2 -99.99 -99.99 -99.99 \n", "3 -99.99 -99.99 -99.99 \n", "4 314.91 315.70 314.44 \n", "5 314.99 317.45 315.16 \n", "6 315.06 317.51 314.71 \n", "7 315.14 317.24 315.14 \n", "8 315.22 315.86 315.19 \n", "9 315.29 314.93 316.19 \n", "10 315.35 313.21 316.08 \n", "11 315.40 312.44 315.40 \n", "12 315.46 313.33 315.20 \n", "13 315.51 314.67 315.43 \n", "14 315.57 315.58 315.54 \n", "15 315.63 316.49 315.86 \n", "16 315.69 316.65 315.38 \n", "17 315.77 317.72 315.42 \n", "18 315.85 318.29 315.49 \n", "19 315.94 318.15 316.03 \n", "20 316.03 316.54 315.86 \n", "21 316.12 314.80 316.06 \n", "22 316.22 313.84 316.72 \n", "23 316.30 313.33 316.32 \n", "24 316.39 314.81 316.68 \n", "25 316.47 315.58 316.35 \n", "26 316.56 316.43 316.39 \n", "27 316.64 316.98 316.35 \n", "28 316.71 317.58 316.28 \n", "29 316.79 319.03 316.70 \n", ".. ... ... ... \n", "728 408.65 408.90 408.08 \n", "729 408.91 407.10 408.63 \n", "730 409.18 405.59 409.09 \n", "731 409.44 405.99 409.62 \n", "732 409.72 408.12 410.39 \n", "733 409.97 409.23 410.16 \n", "734 410.23 410.92 410.87 \n", "735 410.47 411.66 410.90 \n", "736 410.68 412.00 410.45 \n", "737 410.91 413.52 410.72 \n", "738 411.13 414.83 411.42 \n", "739 411.35 413.96 411.38 \n", "740 411.57 411.85 411.03 \n", "741 411.81 410.08 411.62 \n", "742 412.05 408.55 412.06 \n", "743 412.29 408.43 412.07 \n", "744 412.54 410.28 412.56 \n", "745 412.79 411.85 412.78 \n", "746 413.05 413.37 413.33 \n", "747 -99.99 -99.99 -99.99 \n", "748 -99.99 -99.99 -99.99 \n", "749 -99.99 -99.99 -99.99 \n", "750 -99.99 -99.99 -99.99 \n", "751 -99.99 -99.99 -99.99 \n", "752 -99.99 -99.99 -99.99 \n", "753 -99.99 -99.99 -99.99 \n", "754 -99.99 -99.99 -99.99 \n", "755 -99.99 -99.99 -99.99 \n", "756 -99.99 -99.99 -99.99 \n", "757 -99.99 -99.99 -99.99 \n", "\n", "[758 rows x 10 columns]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "raw_data = pd.read_csv(data_file, skiprows=54)\n", "raw_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On a plusieurs petits problème avec la lecture de ces donnees brutes : les lignes 0 et 1 sont en fait des compléments des titres des colonnes. \n", "On rassemble les 3 premières lignes pour changer les noms des colonnes et on rassemble les noms des colonnes" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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YrMnDate ExcelDateCO2 [ppm]seasonally adjusted [ppm]fit [ppm]seasonally adjusted fit [ppm]CO2 filled [ppm]seasonally adjusted filled [ppm]
019581212001958.0411-99.99-99.99-99.99-99.99-99.99-99.99
119582212311958.1260-99.99-99.99-99.99-99.99-99.99-99.99
219583212591958.2027315.70314.44316.19314.91315.70314.44
319584212901958.2877317.45315.16317.30314.99317.45315.16
419585213201958.3699317.51314.71317.86315.06317.51314.71
519586213511958.4548-99.99-99.99317.24315.14317.24315.14
619587213811958.5370315.86315.19315.86315.22315.86315.19
719588214121958.6219314.93316.19314.00315.29314.93316.19
819589214431958.7068313.21316.08312.46315.35313.21316.08
9195810214731958.7890-99.99-99.99312.44315.40312.44315.40
10195811215041958.8740313.33315.20313.62315.46313.33315.20
11195812215341958.9562314.67315.43314.77315.51314.67315.43
1219591215651959.0411315.58315.54315.62315.57315.58315.54
1319592215961959.1260316.49315.86316.27315.63316.49315.86
1419593216241959.2027316.65315.38316.98315.69316.65315.38
1519594216551959.2877317.72315.42318.09315.77317.72315.42
1619595216851959.3699318.29315.49318.65315.85318.29315.49
1719596217161959.4548318.15316.03318.04315.94318.15316.03
1819597217461959.5370316.54315.86316.67316.03316.54315.86
1919598217771959.6219314.80316.06314.83316.12314.80316.06
2019599218081959.7068313.84316.72313.32316.22313.84316.72
21195910218381959.7890313.33316.32313.33316.30313.33316.32
22195911218691959.8740314.81316.68314.54316.39314.81316.68
23195912218991959.9562315.58316.35315.72316.47315.58316.35
2419601219301960.0410316.43316.39316.61316.56316.43316.39
2519602219611960.1257316.98316.35317.27316.64316.98316.35
2619603219901960.2049317.58316.28318.03316.71317.58316.28
2719604220211960.2896319.03316.70319.14316.79319.03316.70
2819605220511960.3716320.04317.22319.67316.86320.04317.22
2919606220821960.4563319.59317.48319.01316.93319.59317.48
.................................
72620187432962018.5370408.90408.08409.43408.65408.90408.08
72720188433272018.6219407.10408.63407.33408.91407.10408.63
72820189433582018.7068405.59409.09405.66409.18405.59409.09
729201810433882018.7890405.99409.62405.83409.44405.99409.62
730201811434192018.8740408.12410.39407.47409.72408.12410.39
731201812434492018.9562409.23410.16409.07409.97409.23410.16
73220191434802019.0411410.92410.87410.29410.23410.92410.87
73320192435112019.1260411.66410.90411.24410.47411.66410.90
73420193435392019.2027412.00410.45412.25410.68412.00410.45
73520194435702019.2877413.52410.72413.73410.91413.52410.72
73620195436002019.3699414.83411.42414.54411.13414.83411.42
73720196436312019.4548413.96411.38413.91411.35413.96411.38
73820197436612019.5370411.85411.03412.36411.57411.85411.03
73920198436922019.6219410.08411.62410.23411.81410.08411.62
74020199437232019.7068408.55412.06408.52412.05408.55412.06
741201910437532019.7890408.43412.07408.67412.29408.43412.07
742201911437842019.8740410.28412.56410.29412.54410.28412.56
743201912438142019.9562411.85412.78411.88412.79411.85412.78
74420201438452020.0410413.37413.33413.11413.05413.37413.33
74520202438762020.1257-99.99-99.99-99.99-99.99-99.99-99.99
74620203439052020.2049-99.99-99.99-99.99-99.99-99.99-99.99
74720204439362020.2896-99.99-99.99-99.99-99.99-99.99-99.99
74820205439662020.3716-99.99-99.99-99.99-99.99-99.99-99.99
74920206439972020.4563-99.99-99.99-99.99-99.99-99.99-99.99
75020207440272020.5383-99.99-99.99-99.99-99.99-99.99-99.99
75120208440582020.6230-99.99-99.99-99.99-99.99-99.99-99.99
75220209440892020.7077-99.99-99.99-99.99-99.99-99.99-99.99
753202010441192020.7896-99.99-99.99-99.99-99.99-99.99-99.99
754202011441502020.8743-99.99-99.99-99.99-99.99-99.99-99.99
755202012441802020.9563-99.99-99.99-99.99-99.99-99.99-99.99
\n", "

756 rows × 10 columns

\n", "
" ], "text/plain": [ " Yr Mn Date Excel Date CO2 [ppm] seasonally adjusted [ppm] \\\n", "0 1958 1 21200 1958.0411 -99.99 -99.99 \n", "1 1958 2 21231 1958.1260 -99.99 -99.99 \n", "2 1958 3 21259 1958.2027 315.70 314.44 \n", "3 1958 4 21290 1958.2877 317.45 315.16 \n", "4 1958 5 21320 1958.3699 317.51 314.71 \n", "5 1958 6 21351 1958.4548 -99.99 -99.99 \n", "6 1958 7 21381 1958.5370 315.86 315.19 \n", "7 1958 8 21412 1958.6219 314.93 316.19 \n", "8 1958 9 21443 1958.7068 313.21 316.08 \n", "9 1958 10 21473 1958.7890 -99.99 -99.99 \n", "10 1958 11 21504 1958.8740 313.33 315.20 \n", "11 1958 12 21534 1958.9562 314.67 315.43 \n", "12 1959 1 21565 1959.0411 315.58 315.54 \n", "13 1959 2 21596 1959.1260 316.49 315.86 \n", "14 1959 3 21624 1959.2027 316.65 315.38 \n", "15 1959 4 21655 1959.2877 317.72 315.42 \n", "16 1959 5 21685 1959.3699 318.29 315.49 \n", "17 1959 6 21716 1959.4548 318.15 316.03 \n", "18 1959 7 21746 1959.5370 316.54 315.86 \n", "19 1959 8 21777 1959.6219 314.80 316.06 \n", "20 1959 9 21808 1959.7068 313.84 316.72 \n", "21 1959 10 21838 1959.7890 313.33 316.32 \n", "22 1959 11 21869 1959.8740 314.81 316.68 \n", "23 1959 12 21899 1959.9562 315.58 316.35 \n", "24 1960 1 21930 1960.0410 316.43 316.39 \n", "25 1960 2 21961 1960.1257 316.98 316.35 \n", "26 1960 3 21990 1960.2049 317.58 316.28 \n", "27 1960 4 22021 1960.2896 319.03 316.70 \n", "28 1960 5 22051 1960.3716 320.04 317.22 \n", "29 1960 6 22082 1960.4563 319.59 317.48 \n", ".. ... .. ... ... ... ... \n", "726 2018 7 43296 2018.5370 408.90 408.08 \n", "727 2018 8 43327 2018.6219 407.10 408.63 \n", "728 2018 9 43358 2018.7068 405.59 409.09 \n", "729 2018 10 43388 2018.7890 405.99 409.62 \n", "730 2018 11 43419 2018.8740 408.12 410.39 \n", "731 2018 12 43449 2018.9562 409.23 410.16 \n", "732 2019 1 43480 2019.0411 410.92 410.87 \n", "733 2019 2 43511 2019.1260 411.66 410.90 \n", "734 2019 3 43539 2019.2027 412.00 410.45 \n", "735 2019 4 43570 2019.2877 413.52 410.72 \n", "736 2019 5 43600 2019.3699 414.83 411.42 \n", "737 2019 6 43631 2019.4548 413.96 411.38 \n", "738 2019 7 43661 2019.5370 411.85 411.03 \n", "739 2019 8 43692 2019.6219 410.08 411.62 \n", "740 2019 9 43723 2019.7068 408.55 412.06 \n", "741 2019 10 43753 2019.7890 408.43 412.07 \n", "742 2019 11 43784 2019.8740 410.28 412.56 \n", "743 2019 12 43814 2019.9562 411.85 412.78 \n", "744 2020 1 43845 2020.0410 413.37 413.33 \n", "745 2020 2 43876 2020.1257 -99.99 -99.99 \n", "746 2020 3 43905 2020.2049 -99.99 -99.99 \n", "747 2020 4 43936 2020.2896 -99.99 -99.99 \n", "748 2020 5 43966 2020.3716 -99.99 -99.99 \n", "749 2020 6 43997 2020.4563 -99.99 -99.99 \n", "750 2020 7 44027 2020.5383 -99.99 -99.99 \n", "751 2020 8 44058 2020.6230 -99.99 -99.99 \n", "752 2020 9 44089 2020.7077 -99.99 -99.99 \n", "753 2020 10 44119 2020.7896 -99.99 -99.99 \n", "754 2020 11 44150 2020.8743 -99.99 -99.99 \n", "755 2020 12 44180 2020.9563 -99.99 -99.99 \n", "\n", " fit [ppm] seasonally adjusted fit [ppm] CO2 filled [ppm] \\\n", "0 -99.99 -99.99 -99.99 \n", "1 -99.99 -99.99 -99.99 \n", "2 316.19 314.91 315.70 \n", "3 317.30 314.99 317.45 \n", "4 317.86 315.06 317.51 \n", "5 317.24 315.14 317.24 \n", "6 315.86 315.22 315.86 \n", "7 314.00 315.29 314.93 \n", "8 312.46 315.35 313.21 \n", "9 312.44 315.40 312.44 \n", "10 313.62 315.46 313.33 \n", "11 314.77 315.51 314.67 \n", "12 315.62 315.57 315.58 \n", "13 316.27 315.63 316.49 \n", "14 316.98 315.69 316.65 \n", "15 318.09 315.77 317.72 \n", "16 318.65 315.85 318.29 \n", "17 318.04 315.94 318.15 \n", "18 316.67 316.03 316.54 \n", "19 314.83 316.12 314.80 \n", "20 313.32 316.22 313.84 \n", "21 313.33 316.30 313.33 \n", "22 314.54 316.39 314.81 \n", "23 315.72 316.47 315.58 \n", "24 316.61 316.56 316.43 \n", "25 317.27 316.64 316.98 \n", "26 318.03 316.71 317.58 \n", "27 319.14 316.79 319.03 \n", "28 319.67 316.86 320.04 \n", "29 319.01 316.93 319.59 \n", ".. ... ... ... \n", "726 409.43 408.65 408.90 \n", "727 407.33 408.91 407.10 \n", "728 405.66 409.18 405.59 \n", "729 405.83 409.44 405.99 \n", "730 407.47 409.72 408.12 \n", "731 409.07 409.97 409.23 \n", "732 410.29 410.23 410.92 \n", "733 411.24 410.47 411.66 \n", "734 412.25 410.68 412.00 \n", "735 413.73 410.91 413.52 \n", "736 414.54 411.13 414.83 \n", "737 413.91 411.35 413.96 \n", "738 412.36 411.57 411.85 \n", "739 410.23 411.81 410.08 \n", "740 408.52 412.05 408.55 \n", "741 408.67 412.29 408.43 \n", "742 410.29 412.54 410.28 \n", "743 411.88 412.79 411.85 \n", "744 413.11 413.05 413.37 \n", "745 -99.99 -99.99 -99.99 \n", "746 -99.99 -99.99 -99.99 \n", "747 -99.99 -99.99 -99.99 \n", "748 -99.99 -99.99 -99.99 \n", "749 -99.99 -99.99 -99.99 \n", "750 -99.99 -99.99 -99.99 \n", "751 -99.99 -99.99 -99.99 \n", "752 -99.99 -99.99 -99.99 \n", "753 -99.99 -99.99 -99.99 \n", "754 -99.99 -99.99 -99.99 \n", "755 -99.99 -99.99 -99.99 \n", "\n", " seasonally adjusted filled [ppm] \n", "0 -99.99 \n", "1 -99.99 \n", "2 314.44 \n", "3 315.16 \n", "4 314.71 \n", "5 315.14 \n", "6 315.19 \n", "7 316.19 \n", "8 316.08 \n", "9 315.40 \n", "10 315.20 \n", "11 315.43 \n", "12 315.54 \n", "13 315.86 \n", "14 315.38 \n", "15 315.42 \n", "16 315.49 \n", "17 316.03 \n", "18 315.86 \n", "19 316.06 \n", "20 316.72 \n", "21 316.32 \n", "22 316.68 \n", "23 316.35 \n", "24 316.39 \n", "25 316.35 \n", "26 316.28 \n", "27 316.70 \n", "28 317.22 \n", "29 317.48 \n", ".. ... \n", "726 408.08 \n", "727 408.63 \n", "728 409.09 \n", "729 409.62 \n", "730 410.39 \n", "731 410.16 \n", "732 410.87 \n", "733 410.90 \n", "734 410.45 \n", "735 410.72 \n", "736 411.42 \n", "737 411.38 \n", "738 411.03 \n", "739 411.62 \n", "740 412.06 \n", "741 412.07 \n", "742 412.56 \n", "743 412.78 \n", "744 413.33 \n", "745 -99.99 \n", "746 -99.99 \n", "747 -99.99 \n", "748 -99.99 \n", "749 -99.99 \n", "750 -99.99 \n", "751 -99.99 \n", "752 -99.99 \n", "753 -99.99 \n", "754 -99.99 \n", "755 -99.99 \n", "\n", "[756 rows x 10 columns]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "raw_data=pd.read_csv(data_file,skiprows=54,header=[0,1,2])\n", "\n", "l_cols=list(raw_data.columns)\n", "new_names_cols=[]\n", "type(l_cols[0])\n", "for item in l_cols: \n", " new_string=''\n", " for string in item:\n", " new_string=new_string+' '+string\n", " item=\" \".join(new_string.split())\n", " new_names_cols.append(item)\n", "\n", "newh_data=raw_data\n", "newh_data.columns=new_names_cols\n", "newh_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il y a également des données manquantes dont la valeur est mise à -99.99. On regarde ces lignes. On remarque que certaines lignes on également la dernière colonne sans valeurs. On va commencer par éliminer celles-ci" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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YrMnDate ExcelDateCO2 [ppm]seasonally adjusted [ppm]fit [ppm]seasonally adjusted fit [ppm]CO2 filled [ppm]seasonally adjusted filled [ppm]
019581212001958.0411-99.99-99.99-99.99-99.99-99.99-99.99
119582212311958.1260-99.99-99.99-99.99-99.99-99.99-99.99
519586213511958.4548-99.99-99.99317.24315.14317.24315.14
9195810214731958.7890-99.99-99.99312.44315.40312.44315.40
7319642234221964.1257-99.99-99.99320.01319.36320.01319.36
7419643234511964.2049-99.99-99.99320.74319.41320.74319.41
7519644234821964.2896-99.99-99.99321.83319.45321.83319.45
74520202438762020.1257-99.99-99.99-99.99-99.99-99.99-99.99
74620203439052020.2049-99.99-99.99-99.99-99.99-99.99-99.99
74720204439362020.2896-99.99-99.99-99.99-99.99-99.99-99.99
74820205439662020.3716-99.99-99.99-99.99-99.99-99.99-99.99
74920206439972020.4563-99.99-99.99-99.99-99.99-99.99-99.99
75020207440272020.5383-99.99-99.99-99.99-99.99-99.99-99.99
75120208440582020.6230-99.99-99.99-99.99-99.99-99.99-99.99
75220209440892020.7077-99.99-99.99-99.99-99.99-99.99-99.99
753202010441192020.7896-99.99-99.99-99.99-99.99-99.99-99.99
754202011441502020.8743-99.99-99.99-99.99-99.99-99.99-99.99
755202012441802020.9563-99.99-99.99-99.99-99.99-99.99-99.99
\n", "
" ], "text/plain": [ " Yr Mn Date Excel Date CO2 [ppm] seasonally adjusted [ppm] \\\n", "0 1958 1 21200 1958.0411 -99.99 -99.99 \n", "1 1958 2 21231 1958.1260 -99.99 -99.99 \n", "5 1958 6 21351 1958.4548 -99.99 -99.99 \n", "9 1958 10 21473 1958.7890 -99.99 -99.99 \n", "73 1964 2 23422 1964.1257 -99.99 -99.99 \n", "74 1964 3 23451 1964.2049 -99.99 -99.99 \n", "75 1964 4 23482 1964.2896 -99.99 -99.99 \n", "745 2020 2 43876 2020.1257 -99.99 -99.99 \n", "746 2020 3 43905 2020.2049 -99.99 -99.99 \n", "747 2020 4 43936 2020.2896 -99.99 -99.99 \n", "748 2020 5 43966 2020.3716 -99.99 -99.99 \n", "749 2020 6 43997 2020.4563 -99.99 -99.99 \n", "750 2020 7 44027 2020.5383 -99.99 -99.99 \n", "751 2020 8 44058 2020.6230 -99.99 -99.99 \n", "752 2020 9 44089 2020.7077 -99.99 -99.99 \n", "753 2020 10 44119 2020.7896 -99.99 -99.99 \n", "754 2020 11 44150 2020.8743 -99.99 -99.99 \n", "755 2020 12 44180 2020.9563 -99.99 -99.99 \n", "\n", " fit [ppm] seasonally adjusted fit [ppm] CO2 filled [ppm] \\\n", "0 -99.99 -99.99 -99.99 \n", "1 -99.99 -99.99 -99.99 \n", "5 317.24 315.14 317.24 \n", "9 312.44 315.40 312.44 \n", "73 320.01 319.36 320.01 \n", "74 320.74 319.41 320.74 \n", "75 321.83 319.45 321.83 \n", "745 -99.99 -99.99 -99.99 \n", "746 -99.99 -99.99 -99.99 \n", "747 -99.99 -99.99 -99.99 \n", "748 -99.99 -99.99 -99.99 \n", "749 -99.99 -99.99 -99.99 \n", "750 -99.99 -99.99 -99.99 \n", "751 -99.99 -99.99 -99.99 \n", "752 -99.99 -99.99 -99.99 \n", "753 -99.99 -99.99 -99.99 \n", "754 -99.99 -99.99 -99.99 \n", "755 -99.99 -99.99 -99.99 \n", "\n", " seasonally adjusted filled [ppm] \n", "0 -99.99 \n", "1 -99.99 \n", "5 315.14 \n", "9 315.40 \n", "73 319.36 \n", "74 319.41 \n", "75 319.45 \n", "745 -99.99 \n", "746 -99.99 \n", "747 -99.99 \n", "748 -99.99 \n", "749 -99.99 \n", "750 -99.99 \n", "751 -99.99 \n", "752 -99.99 \n", "753 -99.99 \n", "754 -99.99 \n", "755 -99.99 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "newh_data[newh_data['CO2 [ppm]']<0]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "data=newh_data.drop(newh_data[newh_data['seasonally adjusted filled [ppm]']<0].index)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "data['period'] = [pd.Period(freq='M',year=year,month=month) for (year,month) in zip(data['Yr'], data['Mn'])]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "data.set_index('period',inplace=True)\n", "periods = data.index\n", "\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": [ "Il n'y a aucune semaine manquante" ] }, { "cell_type": "markdown", "metadata": { "hideOutput": false }, "source": [ "Regardons les données :" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "listcols=data.columns[-5:].tolist()\n", "print(type(listcols))\n", "for col in listcols:\n", " data[col].plot(legend=True, title='Atmospheric CO2 data',ylim=(300,450))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Les données se recoupent et sont déjà des mises en forme et ajustement des données brutes : on utilise par la suite les deux dernières colonnes des données où sont comblées les données manquantes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Données superposées" ] }, { "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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data['CO2 filled [ppm]'].plot(legend=True, title='Atmospheric CO2 data',figsize=(10,8))\n", "data['seasonally adjusted filled [ppm]'].plot(legend=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'évolution du CO2 dans l'atmosphère suit une oscillation périodique, qu'on supperpose avec une évolution systématique plus lente" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Séparation des deux phénomènes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Oscillation saisonnière" ] }, { "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": [ "data['seasonnal_diff']=data['CO2 filled [ppm]']-data['seasonally adjusted filled [ppm]']\n", "data['seasonnal_diff'].plot(legend=True, title='Atmospheric CO2 data',figsize=(20,5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On identifie une évolution sinusoïdale dont l'amplitude augmente légèrement.\n", "la période de ces oscillations est d'environ 1 an.\n", "l'amplidue des oscillations est de +/- 3 ppm.\n", "\n", "Un zoom sur les dernières années." ] }, { "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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B8Pbbb3f5eZMnT+b9998H+EFeo0hh1QvyKxq44fWNKKV4986JDDQF/+gxkcF+PH11KgeO1POXZdIRSAhXprXmb1/t45Xv87hp0gD+NGfECa+oJw+K4u5zzby/uZClO4sNSCo8xa5duzjnnHNIS0vjqaee4vHHH2fRokU8+OCDpKamkpaWxrp16wB44oknmDhxIjNmzGDYsGHHjvHb3/6WUaNGMXLkSKZNm0Zqair33HMPFouFUaNGce2117JgwYIf3Kk6E3/84x+5+uqrmTp1KlFRUV1+3nPPPceLL77IhAkTqKmpOatzO5I61W28njJ+/HidmZnZ6+c1QmFVI9e8sp6Wdivv3zWJITGhp3z8n5bs5q21BSz46QTOG9q3l1IKIRxFa83/fr2PF1fkcsPEATx5+Ui8vE4+TNFmsXLNK+vJOVLPF7+cSkJk0EkfK1xTdnY2w4cPNzqG6KIT/byUUlu01uO78ny5Y9WDDlc3cd2rG2hstfDOvImnLaoAHpw5jKExoTzw0U4q61t6IaUQwpGeWb6fF1fkcv05CactqgB8vb14/roxoOGX72+jzWLtpaRCiJ4ghVUPKatt5obXNlDb1MZ/5p3T5VU/Ab7ePHtdGrVNbTz48c5TTgwUQjiXZ7/Zz/Pf5XDt+ASe+smo0xZVHRIig/ifuaPYdqiaZ7/Z38MphXBNTz31FGlpaT/4eOqpp4yO9SOy3UIPKK9r4YbXNlBR18J/7pjI6P59zuj5w+PC+N3MoTz5eTYLNx3ixokDeyipEMJRnv/2AM9+c4CrxvXnz3O7XlR1mJ0az5oDFfxrZS6TzVFkDOr6HBPh/LTWTrVyzRU99NBDx/ba6imOuJkhd6wcrKqhlZte30hxdTNv/fQcxg6IOKvj3D45iSmDonhi6R5yy+sdnFII4UgvfHeAfyzfz5Vj+/PXK0efcVHV4bE5KSRHBfOrD7bLVAA3EhAQcNqtCYTxtNZUVlYSEBDQrePI5HUHqmls4/rXNpBbXs+bt01gcjevOMtqm7n42VUkRATx8d0Z+PlIHSyEs/nXyhz+9uU+5o7px9+vTsX7LIuqDnuKa/nJi2uZMjiKN24dL3c53EBbWxtFRUVntC+TMEZAQAD9+/fH19f3B58/k8nrMhToILXNbdzy5kZyjtTz6i3jul1UAcSEBfCXuaP5+TtbePab/fxu5rDTP0kI0Wte/j6Xv325j8vT4h1SVIGt79sfLh3GH5fsse3WPqVru08L5+Xr69vlXcSF65NbIA7Q0NLOT9/azO7iWl68caxDt0mYOTKWa8cn8NL3uWzMq3TYcYUQ3fPqqlz+smwvs1PjedpBRVWHWzMSmT68L39Ztpesw8bvyyOE6DoprLqpqdXCvLc3s72wmuevH8OMlNN34j5Tj85OYWBkEL/5cAc1TW0OP74Q4sy8vjqP//liL5eNjuOZa1Lx8XbsW6lSir9dlUpEsC+/fG8bDS3S8kYIVyGFVTc0t1m46z+ZbMyv4h/XpHLpqLgeOU+wvw/PXJtGaW0zj36W1SPnEEJ0zZtr8nny82wuGxXHc9emObyo6hAZ7Mez144hv7KBPy7e3SPnEEI4nhRWZ6m13co9725l9YEK/nrlaC5P69ej5xszIIL7LhzMZ9uL+XTb4R49lxDixBaszefxpXu4ZGQsz17Xc0VVh3SzifnnD+KjLUV8tl1+74VwBVJYnYU2i5X5C7fy3d4jPHXFSK4Zn9Ar573nPDPjB0bwyKdZFFY19so5hRA2/15fwB+X7OHiETE8f/0YfHu4qOpw34WDGTcwgoc+yeJQpfzeC+HspLA6Q+0WK7/6YDtf7ynjsdkpvbp5p4+3F89cm4YG7v9wBxar7IkiRG94Z8NBHv1sNzNSYvjn9WN7ragC2+/9c9el4aXgXml5I4TTk8LqDFismt8t2snnO0v4/SXD+Onk3l8+mxAZxOOXj2BTQRUvf5/b6+cXwtMs3HiIhz/NYvrwvrx4w1hD9pPrHxHEX64czY7Cap7+WlreCOHMpLDqIqtV89Anu/jvtsPcP2MIPzvXbFiWK8b0Y9boOJ5Zvp+dRdWG5RDC3X2yrYg/fLKLC4b15cUbjSmqOlw6Ko7rzxnAy9/nsvpAuWE5hBCnJoVVF/1322He31zI/PMHce+Fgw3NopTiqZ+Mom+oP796fzuNrbIUWwhHa26z8NTn2YwfGMFLN43F38fb6Eg8OiuFwX1D+M2HO6iQljdCOCUprLrAYtW8uCKHlLgw7r9oiNFxAAgP8uXpa9LIr2zgiaXZRscRwu28v+kQFfWt/PbioU5RVAEE+nnzzxvGUNPUxv0f7sAq8yyFcDpSWHXBF7tKyK9o4BfnD3Kqvl3pZhM/m2bmvU2H+Hp3qdFxhHAbre1WXlmVx4TECCYmm4yO8wPDYsN45LLhfL+/nDfX5hsdRwhxHCmsTkNr290qc3QwM0fGGh3nR34zYwgj+4Xx4Mc7OVIrDT6FcIT/bi2ipKaZ+RcYO+x/MjdNGshFKTH89cu97CqSljdCOBMprE7j2+wj7C2t457zBjm0F5ij+Pl48ey1Y2hqs/DAop0yNCBEN7VbrLz0fS6j+oUzbXD3m6n3BFvLm9FEhfhz73tbqZeWN0I4DSmsTkFrzQsrcugfEcictHij45zUoL4hPHRZCqv2l/P2+gKj4wjh0j7fVcLBykanG/o/Xp8gP569No1DVY3S6koIJyKF1Smsy61ke2E1Pz/X3KsbAp6NmyYO4MJhffnzsr3sK60zOo4QLslqX6gyJCaEi3qgobqjTUw2ce8Fg/nv1sN8sq3I6DhCCKSwOqUXvsuhb6g/V43rb3SU01JK8derRhMW4MN972+jpd1idCQhXM7y7DL2l9Vzz3mD8HLCof8TufeCQZyTGMnDn2RxtKHV6DhCeDwprE5iy8GjrM+r5K5pyQT4OsdS69OJCvHn71elsre0jgVrC4yOI4RL6VioMiAyiFmj44yO02U+3l48NieFhlYLy7JkdbAQRpPC6iReXJFDRJAvN0wcYHSUM3L+sL6MGxjBJ9sOGx1FCJey+kAFO4tquPs8Mz5OPvR/vJS4MMzRwSzZUWx0FCE8XrffPZRSCUqpFUqpbKXUbqXUfY4IZqSswzV8t/cIt09OIsjPx+g4Z2xOajx7S+s4UCZzrYToqhdW5BAbFsDcsf2MjnLGlFLMTo1nQ36lbLsihMEccVnWDtyvtR4OTAJ+oZRKccBxDfOvlTmE+vtwS0ai0VHOyqWj4vBSyNWrEF20uaCKTflV3DUt2Wl2WT9Ts0bHo7VtVaMQwjjdLqy01iVa6632P9cB2YDrXfLZ5RypY1lWKbdkDCQ80NfoOGclOtSfDHMUi3cUo7XsayXE6bzwXQ6mYD+uP8e1hv47G9Q3hJS4MLmgEsJgDp1IoJRKBMYAG0/wtbuUUplKqczycuftzP6vlbkE+Hhz++Qko6N0y5zUeAoqG9l1WHZlFuJUdhZV8/3+cuZNTSLQzzXvVnWYnRrP1kPVFFY1Gh1FCI/lsMJKKRUCfAz8Smtde/zXtdavaq3Ha63HR0dHO+q0DlVY1chn24u5/pwBmEL8jY7TLRePiMXXW8nVqxCn8eKKHMICfLh50kCjo3Rbx2pGGQ4UwjgOKayUUr7Yiqp3tdb/dcQxjfDy97l4K8Vd05KNjtJt4UG+nDukL0t3lkibGyFOYn9ZHV/tLuO2jERCA1xz6L+zhMggxgzoIxdUQhjIEasCFfAGkK21/kf3IxmjrLaZjzKLuHJcf2LDA4yO4xBz0uIpqWlmc0GV0VGEcEr/WpFDkJ83P3Xxof/OZo+OZ3dxLbnl9UZHEcIjOeKO1WTgZuACpdR2+8elDjhur3ptVR4Wrbn7XLPRURxm+vC+BPp6s2SnXL0KcbyDlQ0s3lHMjRMHEBHsZ3Qch7lsdBxKwdIdMhwohBEcsSpwjdZaaa1Ha63T7B9fOCJcb6lqaOXdjYeYkxrPAFOQ0XEcJsjPh+kpMXyxq5Q2i9XoOEI4lZe/z8XH24s7p7r+0H9nMWEBTEyKZPGOw7IqWAgDuNb2wj3krbX5NLVZuOc897lb1WH26DiqGlpZm1NhdBQhnEZJTROLthRxzfj+9A1zj6H/zmanxpNb3kB2iWwSLERv8/jCqra5jQXrCpg5IpbBMaFGx3G4c4dGExbgwxIZFhDimFdX5WHV8LNp7ncxBXDJyDi8vZRMAxDCAB5fWP1n/UHqmtv5xfmDjI7SI/x9vJk5Mpavd5fS3GYxOo4Qhquob+G9TYf4SVo/EiLdZ+i/s8hgP6YMimKJbBIsRK/z6MKqsbWdN9bkc97QaEb1Dzc6To+ZnRpPXUs7K/cdMTqKEIZ7c00+Le1W7jnfPe9WdZidGk/R0Sa2F1YbHUUIj+LRhdV7mwqpamhlvpvereqQnmwiKsRPhgOFx6tpbOPf6w9y6ag4zNEhRsfpUReNiMHP20t+74XoZR5bWLW0W3h1VS4TkyIZnxhpdJwe5ePtxWWj4vgmu4z6lnaj4whhmLfXF1Df0s4vznPviymAsABfzhsazdKdxVhkk2Aheo3HFlYfbzlMWW0L8y9w/zdYsA0LtLRbWb6n1OgoQhiioaWdN9fmc+GwvqTEhxkdp1fMTo3nSF2LbBIsRC/yyMKq3WLl5e9zSe0fzpRBUUbH6RVjB0TQr0+gDAsIj7Vw4yGqG9v4hYdcTAFc2LFJsLS4EaLXeGRhtWRnMYeqGvnF+YOwdeRxf15eilmpcazaX87Rhlaj4wjRq5rbLLy6Oo8Ms4mxAyKMjtNrOjYJXpYlmwQL0Vs8rrCyWjX/WpHL0JhQpg+PMTpOr5o9Op52q2ZZlgwHCs/y0ZYiyuta3H6hyonMSY2nqqGVdbmVRkcRwiN4XGH19Z5SDhyp557zzXh5ecbdqg4j4sNIjg6WYQHhUdosVl5emcuYAX1IN5uMjtPrpg2JIjTAR37vheglHlVYaa3553c5JJqCmDU63ug4vU4pxZzUeDbkV1JW22x0HCF6xWfbizlc3cR8Dxr678zfx5uZI2L5KquUlnbZJFiInuZRhdXK/eXsLq7l7vPMeHvY3aoOs1Pj0RqW7pRJ7ML9Wayaf63MYXhcGBcM62t0HMN0bBL8/b5yo6MI4fY8prDSWvPidznEhwdwxZj+RscxjDk6hBHxYTIsIDzCl1ml5JU3eOzdqg4ZZhORwX4skQsqIXqcxxRWG/OryDx4lJ+da8bPx2O+7ROakxrP9sJqDlU2Gh1FiB6jteaFFTkkRwczc2Ss0XEM5ePtxaWjYvlmTxmNrbJJsBA9yWMqjBdX5BAV4s+1ExKMjmK4Wam2+WVLdspdK+G+Vuw7QnZJLfecN8hjh/47mz06nqY2C99mS89QIXqSRxRWOwqrWX2ggjumJhHg6210HMP16xPI+IERMhwo3FbHQpX+EYFcnuZ5C1VOZEJiJDFh/vJ7L0QP84jC6oUVOYQH+nLTpIFGR3Eac9Li2Vtax/6yOqOjCOFw63Mr2Xaomp+da8bX2yPe5k7Ly0sxa3Q8K/eVU9PUZnQcIdyW27/j7C2tZfmeMm7LSCTE38foOE7jkpFxeClYvF2uXoX7eWFFDn1D/bl6nOcuVDmR2anxtFqsfL1bNgkWoqe4fWH1rxW5BPt589PJiUZHcSrRof5MHhTFkp3FaK2NjiOEw2w9dJR1uZXcOTVZhv6Pk9o/nITIQFkdKEQPcuvCKr+igaU7i7lp0kD6BPkZHcfpzE6N52BlIzuLaoyOIoTDvPhdDn2CfLlh4gCjozgdpRSzR8ezNqeCyvoWo+MI4ZbcurB6aWUOPt5ezJuaZHQUp3TxiFj8vL1YLJNZhZvYU1zLt3uPcPvkJIJl6P+EZqfGY5GeoUL0GLctrA5XN/HfrYe5fkICfUMDjI7jlMIDfTl3aDRLdxZjtcpwoHB9L67MIdTfh1szEo2O4rSGxYYyqG+IrA4UbqHCCe+8um1h9er3uQDcda7Z4CTObU5qPGW1LWwqqDI6ihDdkltezxe7Srg5fSDhgb5Gx3FaHcOBmwqqKK2RnqHCde0urmHqX1c43aiLWxZW5XUtvL+5kLlj+9GvT6DRcZzahcP7Eujr7XT/Ywpxpl74Lgd/Hy/mTZEF053LAAAgAElEQVSh/9OZlRqH1vD5LpnELlxTQ0s79y7cRligD5PNJqPj/IBbFlbvbjxIm8XK3ecNMjqK0wvy82FGSgzLdpXQZrEaHUeIs/LZ9sN8su0w86YkYQrxNzqO05OeocLVPfJZFgWVDTx77Rin+513y8Lq7vPM/Pv2iSRFBRsdxSXMSY3naGMba3IqjI4ixBnbV1rH//t4F+ckRvKr6UOMjuMyZtt7hhZWSc9Q4VoWbSniv1sPc+8Fg0l3srtV4KaFlb+PN1MGRxkdw2VMHRJFWIAPS2SzUOFi6prbuPudLQT7+/DCDWNkl/UzMGt0HCA9Q4VryTlSzyOfZjExKZJfXjjY6DgnJO9CAn8fby4ZGcdXu0tpbrMYHUeILtFa87tFOzlY1ciLN4yhb5is/j0T/SOCGDcwgiU7ZJ6VcA3NbRbmL9xKoJ83z103xmmbq0thJQBb78CGVgsr9krne+Ea3liTz7KsUh6cOZSJyc43HOAKZo+OI7uklpwj0jNUOL8nP9/D3tI6nr4mldhw572QksJKADAp2URUiL+sDhQuYVN+FX9etpeZI2K5c2qy0XFc1qWjbT1D5a6VcHaf7yzhnQ2HuGtaMucP7Wt0nFOSwkoA4O2lmDU6jm/3HqGuuc3oOEKc1JG6Zn6xcCsDIoP4+9WjUco5hwNcQd/QACYlm6RnqHBqhVWN/L+Pd5Ka0IcHLhpqdJzTksJKHDM7NY7WdivL95QZHUWIE2q3WJm/cBv1ze28fNM4QgNkI9Dump0aT155A3tKao2OIsSPtLZbmf/eNlDwwvVj8PNx/rLFIQmVUm8qpY4opbIccTxhjLEDIujXJ1CGA4XT+vtX+2zDgHNHMTQ21Og4bmHmiFh8vJT83gun9L9f72NHYTV/u3I0CZFBRsfpEkeVfguAmQ46ljCIUorZqfGsOVBBVUOr0XGE+IEvs0p4ZVUeN08ayE/G9DM6jtuICPZj6uAolu4okeFA4VS+21vGq6vyuGnSAC4ZFWd0nC5zSGGltV4FSLM5NzA7NY52q2ZZlkxmFc4jr7yeBz6yzbF4eNZwo+O4ndmp8RyubmLroWqjowgBQGlNM/d/uINhsaE8fFmK0XHOiPMPVopelRIXhjk6mMWyWahwEo2t7dz9zlZ8vRX/unEs/j7eRkdyOzNSYvDz8ZIWN8IpWKya+97fRku7lRduGEuAr2v9zvdaYaWUuksplamUyiwvL++t04ozpJRiTmo/6XwvnILWmoc+yWL/kTqeu26MNFXvIaEBvlwwtC+f7yrBYpXhQGGs5789wMb8Kp64fCSD+oYYHeeM9VphpbV+VWs9Xms9Pjo6urdOK87C7FRb5/ul0upCGOydjYf4ZNthfj19CNOGyPtGT5qdGk95XQsb8yuNjiI82LrcCp7/7gBzx/bjynH9jY5zVmQoUPxIcnQII/tJ53thrO2F1Ty+ZDfnDY1m/vmDjI7j9i4Y1pcgP2/ZLFQYpqK+hV+9v52kqGCeuHyk0XHOmqO2W3gPWA8MVUoVKaXmOeK4wjhzUuPZUVRDQUWD0VGEB6pqaOWed7YQExbAs9em4eWkPcHcSaCfNzNSYliWVUKbxWp0HOFhrFbN/R/uoLqpjReuH0uwv4/Rkc6ao1YFXq+1jtNa+2qt+2ut33DEcYVxLhsdD8hwoOh9HRNXKxpaeenGcfQJ8jM6kseYPTqe6sY21uRUGB1FeJhXV+fx/f5yHpmVQkp8mNFxukWGAsUJ9esTyITECNk0UPS65749wOoDFTw+ZwSj+ocbHcejTB0SRViAj0wDEL1q66Gj/O9X+7hkZCw3TRxgdJxuk8JKnNSc1Hj2l9Wzt1RaXYjesWLvEZ7/9gBXj+vPtRMSjI7jcfx9vJk5Mpavd5fR3GYxOo7wADWNbdy7cBux4QH85Ur36P0phZU4qUtGxeHtpeTqVfSKwqpGfvXBdobHhfHET0a6xRusK5qdGk99Szsr98m2OKJnaa158OOdlNU288/rxxAe6B69P6WwEicVFeJPhtnEEml1IXpYc5uFe97dilVrXr7J9TYEdCfpySZMwX4skfmVoof9Z8NBvtxdyu9mDmXMgAij4ziMFFbilOakxnOoqpHthdLqQvScPy3Zza7DNfzjmjQGmoKNjuPRfLy9uHRUHN9ml9HQ0m50HOGmdhfX8OTSbM4bGs0dU5KNjuNQUliJU7poRCx+3l6yt43oMR9mFvLepkLuOc/MjJQYo+MIbMOBzW1WvskuMzqKcEMNLe3cu3AbEcG+PH11qtttpyKFlTil8EBfzhsazdKdxdLqQjjc7uIaHvk0iwyzid/MGGJ0HGE3fmAEceEBckElHE5rzcOfZlFQ2cBz143BFOJvdCSHk8JKnNactHiOSKsL4WA1TW3c/c5W+gT58vz1Y/DxlrcjZ+HlpZg1Oo7v9x+hprHN6DjCjSzaUsQn2w7zywsHMynZZHScHiHvZOK0LhwWQ5CfN1/skqtX4Ri2XZa3U1zdxL9uHEuUG161urpLRsXRZtGsOiCrA4Vj5Byp49HPdjMpOZJ7LxhsdJweI4WVOK1AP2/Sk02sy5E7VsIxXl6VyzfZR3j4suGMGxhpdBxxAqP7hRPi78P6PPm9F93X3GZh/sJtBPp589x1Y/B2s3lVnUlhJbok3Wwir6KBkpomo6MIF/dtdhl//2ofs1PjuTUj0eg44iR8vL2YmBTJhlwprET3aK353aKd7C2t4+lrUokJCzA6Uo+Swkp0SbrZNha+Xt5kRTdkl9Tyy/e2MTI+nL+5yS7L7qzjgqq0ptnoKMKFPf9tDot3FPPbi4dy/tC+RsfpcVJYiS4ZHhtGnyBf1klhJc5SeV0Ld7ydSUiAD6/dMp5AP9kE1Nl1TC5enydNmcXZWbqzmGe+2c/csf245zyz0XF6hRRWoku8vBSTkkysz62UXdjFGWtus/Cz/2RS2dDC67dMIDbcvYcC3EVKXBjhgb4yv1Kcle2F1dz/4Q7GD4zgz3NHecwdaimsRJdlDDJxuLqJwiqZZyW6rqMf2NZD1fzjmjRG9Q83OpLoIi8vxaTkSJnALs5YcXUTd/47k+hQf165eRz+Pp5zh1oKK9FlGfZ5VutyZVhAdN0L3+Xw2fZiHrhoCJeOijM6jjhD6ckmio42UVjVaHQU4SIaWtq54+1MmlotvHnbBLfcBPRUpLASXWaODiE61F+uXkWXfb6zhKeX7+eKMf34xfmDjI4jzkLGoChAFq6IrrFaNb/+YDt7S2v55w1jGBITanSkXieFlegypZRtPyuZZyW6YGdRNfd/tJ1xHja/wt0M7htCVIifXFCJLvn71/v4ek8ZD1+W4hErAE9ECitxRjLMJsrrWsgtrzc6inBiJTVN3PF2JqZg2/yKAF/PmV/hbpRSTEqWhSvi9BZtKeKllbncMHEAP52caHQcw0hhJc5IhlmGBcSpNbba5lc0tLTzxm3jpV2NG0g3myitbSa/osHoKMJJbS6o4vf/3UmG2cSf5ozw6DvUUliJM5IQGUi/PoGyn5U4IatV85sPdpBdYptfMSw2zOhIwgHSj+1nJb/34scOVTbys/9soX9EEP+6cSy+Ht5Q3bO/e3HGlFKkm02sz6vEapVhAfFDTy/fx5e7S/nDpcO5YFiM0XGEgyRFBRMbFiB3qsWP1Da3Me/tzVismjduHU+fID+jIxlOCitxxjLMJqob28gurTU6inAi/91axIsrcrn+nATmTUkyOo5woI4Lqg15Ms9K/J92i5V7F24jv6KBl24cS3J0iNGRnIIUVuKMSd9AcbzMgir+38e7SE828fjlIz16foW7Sk82UVHfyoEjsnBF2Dz5eTbf7y/n8ctHHtuWQ0hhJc5CXHggSVHBUlgJAAqrbPMr+kUE8tJNMr/CXXVcUK3LkQ2CBbyz4SAL1hVw++Qkbpg4wOg4TkXeAcVZSTeb2JhfRbvFanQUYaA6+/yKNouV12V+hVtLiAyif0SgTGAXrDlQwWOLd3P+0Ggeumy40XGcjhRW4qxkmE3Ut7STVSzzrDyVxar55XvbyC1v4F83jsMs8yvcXnqyiQ15VbJwxYPlltdzz7tbGBQdwvPXj8HbS4b9jyeFlTgrk5Klb6Cne+rzbFbsK+dPc0YwZbDMr/AEGYNM1DS1sadELqg8UXVjK/MWbMbX24vXbx1PaICv0ZGckhRW4qxEhfgzNCZU5ll5qIUbD/Hm2nxuy0jkpkkDjY4jekl6sq2A3iDDgR6nzWLl7ne2UlzdzCs3jyMhMsjoSE5LCitx1tLNJjYXVNHaLvOsPMm6nAoe/SyLc4dE87DMr/AoseEBsnDFA2mtefSzLNbnVfKXK0cxPjHS6EhOTQorcdbSzSaa26xsL6w2OoroJXnl9fz8nS0kRQXzzxvG4CMrAD2OLFzxPG+syee9TYXcc56ZuWP7Gx3H6cm7ojhrk5JMKCXzrDxFdWMr897OxMfbizdvm0CYzK/wSOnJsnDFk3y3t4ynvshm5ohYHrhoqNFxXIIUVuKshQf5MjI+XPoGeoA2i5V73t3K4aNNMr/Cw3UsXJHhQPe3t7SWexduY0R8GP+4NhUvWQHYJVJYiW5JN5vYfqiaplaL0VFED7HNr9jNutxK/jx3FBNkfoVHiw71Z0hMiNypdnMV9S3MW5BJsL8Pr98ygSA/H6MjuQyHFFZKqZlKqX1KqRyl1P9zxDGFa0g3m2i1WNly8KjRUUQPeXNtAe9tOsTd55m5cpzMrxC24cDMgqOycMVNNbdZuOvfmVQ2tPD6reOJDQ8wOpJL6XZhpZTyBl4ELgFSgOuVUindPa5wDRMSI/HxUnL16qayDtfw1Od7uCglht/K/Aphl26OoqnNwo4iWbjijp7+eh9bD1Xz9NVpjO7fx+g4LscRd6zOAXK01nla61bgfeByBxxXuIAQfx9G9w+XNhduyGLV/OGTXZhC/Pnfa2R+hfg/k5IjUUrmWbmjvaW1vLm2gOsmJHDZ6Dij47gkRxRW/YDCTn8vsn/uB5RSdymlMpVSmeXl5Q44rXAWGeYodhbVUNfcZnQU4UDvbDjIzqIaHpmVIisAxQ/0CfJjeGyYFFZuxmrVPPxJFmEBPjw4c5jRcVyWIwqrE13G/qiRlNb6Va31eK31+OjoaAecVjiLDLMJi1WzuaDK6CjCQcpqm/n7V/uYOjiK2XLVKk4gw2xiy6GjNLfJwhV3sWhrEZkHj/L7S4YTESwN1c+WIwqrIiCh09/7A8UOOK5wEWMHRuDn4yVXr27k8aV7aLVYeeLykSglQ4Dix9LNJlrbrWw9JAtX3MHRhlb+/EU24wdGcJUsUukWRxRWm4HBSqkkpZQfcB2w2AHHFS4iwNebsQP6yH5WbmLlviN8vrOE+ecPIjEq2Og4wklNSIrES8EG+b13C3/7ai+1ze088ZORMp+ym7pdWGmt24H5wFdANvCh1np3d48rXEuGOYo9JbUcbWg1OorohuY2C498lkVydDA/OzfZ6DjCiYUF+DKqv1xQuYMtB4/y3qZCbp+cyPC4MKPjuDyH7GOltf5Caz1Ea23WWj/liGMK15JhNqE1bMyXN1lX9s/vDlBY1cSTPxmJv4+30XGEk0tPNrGjqJrG1najo4iz1G6x8vCnWcSGBXDf9CFGx3ELsvO6cIjR/fsQ6Ost86xc2IGyOl5dlcfcsf3IMEcZHUe4gHSziTaLJrNA5lm5qrfXHyS7pJbHZqcQ4i+7qzuCFFbCIfx8vJiQFCnDAi5Ka81Dn2YR5OfDHy4dbnQc4SImJEbYNwiW33tXVFrTzD++3sd5Q6OZOTLW6DhuQwor4TAZZhMHjtRzpK7Z6CjiDC3aUsSm/Cp+f8kwokL8jY4jXESQnw9pCX1kg2AX9cTne2i3av40Z4Ss/nUgKayEw6Tbu95vyJP9rFzJ0YZW/se+zPqa8Qmnf4IQnWSYTewqqqZWNgh2Kav2l/P5zhJ+cf4gBppk9a8jSWElHGZEfBihAT6sl76BLuXPy7Kpa27nyStkmbU4c5PMJqwaNufLBZWraG6z8OhnWSRFyerfniCFlXAYH28vJiaZZL6FC9mUX8WHmUXMm5rEsFhZZi3O3NgBskGwq3nl+zwKKht5/PIRsvq3B0hhJRwqw2ziYGUjh6ubjI4iTqO13cpDn+yiX59A7rtwsNFxhIsK8PVm3IAIuaByEQUVDby4ModZo+OYOljay/UEKayEQ6WbbfOs5OrV+b2+Jo8DR+p5/PIRBPnJMmtx9tLNJrJLa6lulA2CnZnWmkcX78bP24tHZqUYHcdtSWElHGpoTCiRwX6sk3lWTq2wqpHnvz3AzBGxXDg8xug4wsWl2zcIloUrzm1ZVimr9pfzmxlDiAkLMDqO25LCSjiUl5ciPdnE+txKtNZGxxEnoLXmkc+y8FaKx+bIVavovtRjGwTLBZWzqm9p5/Ele0iJC+OW9IFGx3FrUlgJh5tkNlFS08zBykajo4gTWJZVysp95fzmoqHEhQcaHUe4AT8fL8YnRsh+Vk7s2eX7Katr5qkrRuLjLf/09yR5dYXDZdjnWclkVudT19zGn5bsJiUujFvlqlU4ULrZxP6yesrrWoyOIo6TXVLLW+sKuG7CAMYMiDA6jtuTwko4XHJUMDFh/jLPygk9/fV+jtS18D9zR8lVq3Cojv6SG+SulVOxWjUPf5pFeKAvD84canQcjyDvrMLhlLLNs9qQJ/OsnMmuohr+vb6AmyYOJC2hj9FxhJsZGR9GiL+PDAc6mUVbithy8Ci/v2QYfYL8jI7jEaSwEj0iwxxFRX0rB47UGx1FABar5qFPd2EK8eeBi+WqVTiej7cX5yRFskGmADiNow2t/HlZNuckRnLVuP5Gx/EYUliJHtGxn9W6HBkOdAbvbDjIzqIaHpmVQnigr9FxhJvKMJvIq2igtEYasTuDvyzbS11zO0/8ZKQ0We5FUliJHpEQGURCZKAMCziBstpm/v7VPqYOjmL26Dij4wg3NsneiH19nlxQGW3LwSo+yCxk3pQkhsaGGh3Ho0hhJXqMbZ5VFRarzLMy0uNL99BqsfLE5XLVKnpWSlwY4YG+rMuRCyojtVusPPRJFvHhAfxS2lX1OimsRI/JMEdR09RGdkmt0VE81sp9R/h8Zwnzzx9EYlSw0XGEm/PyUkxKjpQ71QZbsK6AvaV1PDp7BMH+0q6qt0lhJXrMsXlWsu2CIZrbLDzyWRbJ0cH87Nxko+MID5GebKLoaBOFVbJBsBFKapp4Zvl+LhjWl4tHSLsqI0hhJXpMTFgAydHB0pDZIP/87gCFVU08+ZOR+Pt4Gx1HeIiMQbb9rOT33hhPLs2m3ar54+wRMvRvECmsRI/KMJvYlF9Fm8VqdBSPcqCsjldX5TF3bL9jGzcK0RsG9w0hKsRPhgMN8P3+cj7fVcK9FwxigCnI6DgeSwor0aMyzFE0tFrYWVRjdBSPobXmoU+zCPLz4Q+XDjc6jvAwSikmSiP2XtfcZuFR+9D/ndNk6N9IUliJHtWx/FraXPSeRVuK2JRfxe8vGUZUiL/RcYQHyjCbKK1tJr+iwegoHuOllbkcrGzkictl6N9oUliJHhUZ7Mew2FCZwN5Lqhpa+Z8vshk/MIJrxicYHUd4qPRj+1nJBVVvyK9o4KXvc5mTGs/kQTL0bzQprESPyzBHkVlwlJZ2i9FR3N5flmVT19zOk1eMxMtLJq4KYyTZG7HLBPaep7Xm0c+y8Pf24uHLZOjfGUhhJXpcutlES7uVbYeqjY7i1nYV1fBhZhHzpiYxLDbM6DjCgymlyDBHSSP2XrAsq5TVByq4/6Ih9A0LMDqOQAor0QvOSYrES8E6uXrtUa+tziPE34f55w8yOooQpCebpBF7D9Na89w3BxgSE8LN6YlGxxF2UliJHhce6MuofuGsl3lWPaa4uonPd5Vw3YQEQgOkybIwnjRi73mrDlSwr6yOu6aZ8Zahf6chhZXoFenmKLYXVtPY2m50FLe0YF0BALdNTjQ0hxAdEiKD6B8hjdh70uur84gJ82dOarzRUUQnUliJXpFuNtFm0WQWHDU6itupb2nnvY2HuGRkLP0jZFNA4Tw6GrFbpRG7w+0prmX1gQpuzUjEz0f+KXcm8tMQvWJCYgQ+XkrmWfWADzcXUtfSzh1TZVNA4VwyBpmoaWpjjzRid7jX1+QR5OfNjecMNDqKOI4UVqJXBPn5MGZAH5ln5WAWq+bNtfmMHxhBWkIfo+MI8QPpybY9lWSDYMcqq21myY5irhmfQHiQzKl0NlJYiV6Tnmxi1+EaapvbjI7iNr7aXUrR0SbumJpkdBQhfiQ2PICkKGnE7mgL1hVgsWpunyy/986oW4WVUupqpdRupZRVKTXeUaGEe0o3R2HVsCmvyugobuP11XkMiAxiRkqs0VGEOKF0s4mN+VW0SyN2h2hoaefdDQeZOTJWGi07qe7escoC5gKrHJBFuLkxA/rg7+Ml86wcZMvBo2w9VM3tkxNlqbVwWunJJupb2skqlnlWjvBhZiG1zTKn0pl1q7DSWmdrrfc5KoxwbwG+3owbGCHLrx3kzTX5hAb4cLX0BBROrKMRuwwHdl+7xcqba/MZNzCCsQMijI4jTqLX5lgppe5SSmUqpTLLy8t767TCyWSYTWSX1FLV0Gp0FJdWWNXIsqwSbpg4gGB/H6PjCHFS0aH+DIkJkUbsDvDV7jIKq5q4U+5WObXTFlZKqW+UUlkn+Lj8TE6ktX5Vaz1eaz0+Ojr67BMLl5ZullVCjvDW2gK8lOK2jESjowhxWunJJjILjtLaLvOszpbWmtdW5zHQFMSMlBij44hTOG1hpbWerrUeeYKPz3ojoHAvo/uHE+znLVev3VDb3MYHmw8xa3QcceGBRscR4rTSzSaa2izsKJJG7Gdry8GjbC+sZt6UJJlT6eRkuwXRq3y9vZiQFCnzLbrhg02FNLRamDdFhgOEa5iYZEIpmWfVHa+tziM80JerxvU3Ooo4je5ut3CFUqoISAc+V0p95ZhYwp1lmE3kljdQVttsdBSX026x8tbafCYmRTKqf7jRcYTokohgP4bHhklhdZbyKxr4ek8ZN08aSJCfzKl0dt1dFfiJ1rq/1tpfax2jtb7YUcGE+8qwz7OSN9kz90VWKcU1zbLUWricdLOJLYeO0txmMTqKy3lzTT6+Xl7ckiHta1yBDAWKXjc8LoywAB8prM6Q1prXV+eRFBXMhcP6Gh1HiDOSYTbR2m5l6yFpxH4mjja08tGWQi5Pi6dvaIDRcUQXSGElep23l2JSsol1eTKB/UxkHjzKzqIabp+ShJdMXhUuZkJSJF4KNsgF1Rl5d+NBmtuscpfahUhhJQyRYTZRWNVEYVWj0VFcxuur8+gT5MuVY/sZHUWIMxYW4MuofuHSeeEMNLdZWLDuIOcOiWZobKjRcUQXSWElDNGxn5Xswt41BfbJqzdOHCCTV4XLSjdHsaOomsbWdqOjuITF24upqG+RDUFdjBRWwhBDYkIwBfuxLkeGA7virbX5+Hgpbk1PNDqKEGct3WyizaLZXCDzrE5Ha83ra/IYFhvK5EEmo+OIMyCFlTCEUoqpg6NYdaACi1UbHcep1TS28WFmEXNS+9E3TCavCtc1ITECfx8vVu47YnQUp/f9/nL2l9Vz59RklJI5la5ECithmOkpMVQ1tLLloFy9nsrCTYdoarMwb0qS0VGE6JYgPx+mDIpi+Z4ytJYLqlN5bXUeMWH+zE6NNzqKOENSWAnDnDskGl9vxfI9pUZHcVqt7VYWrMtn8iATKfFhRscRotump8RQdLSJfWV1RkdxWruLa1ibU8ltGUn4+cg/065GfmLCMKEBvqSb5er1VD7fVUxZbYsstRZuo2MPtm/2lBmcxHm9sTqfID9vbjhngNFRxFmQwkoYasbwvhRUNpJbXm90FKdj2xA0n0F9Qzh3cLTRcYRwiL5hAaQm9GF5tsyzOpGSmiYW7yjmmvEJhAf5Gh1HnAUprIShpqfEAPC1XL3+yIa8KnYX1zJPNgQVbuailBh2FFZLv9ATWLCuAKvWMqfShUlhJQwVFx7IqH7hLJfC6kfeWJNHZLAfV4yRDUGFe5k+3HZB9a3ctfqB+pZ2Fm48xCUj40iIDDI6jjhLUlgJw81IiWF7YTVH6uTqtUNueT3fZB/hpkkDCfD1NjqOEA41JCaEhMhAvsmWC6rOPtxcSF1zO3dMlbtVrkwKK2G46cNj0Bq+k6vXY95ck4+fjxc3T5Ju9sL9KKWYPjyGNTkVNLTILuwA7RYrb6zJZ/zACMYMiDA6jugGKayE4YbHhdKvT6AMB9pVNbTy8dYirkjrR3Sov9FxhOgRM1JiaG23svqAdF8A+HJ3KYerm7hzmqwAdnVSWAnDKaWYkWK7epUeYrDQ3s1+ngwHCDc2ITGSsAAfGQ7EtgL4tdX5JJqCjs0/E65LCivhFGakxNAiV6+0tFt4e/1Bpg2JZkiMdLMX7svX24vzh/Xlu71HPL6tVebBo+worGbelCS8ZQWwy5PCSjiFc5JsV6+ePhy4eHsx5XUt3Cl3q4QHmGFva7X1kGe3tXp1VR59gny5alyC0VGEA0hhJZyCXL3ahgPeWJPP0JhQpgyKMjqOED1umr2tlSfvwp5f0cA32WXcPGkggX6yAtgdSGElnMYMD2/KvDankr2ldcybmiTd7IVHCAvwZVKyieUePM/qjTV5+Hp5cXO6rAB2F1JYCafR0ZTZUyezvrY6j6gQfy5Pk272wnNMHx5DXnmDR7a1qmpoZdGWIn4yJp6+oQFGxxEOIoWVcBqhHVevHtiUeX9ZHd/vL+fW9IH4+8hwgPAcHW2tPHE48J0NthXA0mTdvUhhJZzKRSkx5Fd43tXrm2vy8ffx4kbZEFR4mH59AkmJC/O4O9XNbRb+vb6A84bKCmB3I4WVcCqe2JS5or6F/247zJXj+hMZ7Gd0HCF63fSUGLYcPIT2++IAABZxSURBVEplfYvRUXrNZ9sPU1Hfyp1yt8rtSGElnEpceCAj+4V51LDAf9YfpLXdyu2TZYsF4ZlmDI/BqmHFvnKjo/QKq9W2IejwuDAyzCaj4wgHk8JKOJ0Zw2PZVlhNeZ37X702t1l4Z8NBLhjWl0F9Q4yOI4QhRvYLIzYsgOV7So2O0iu+319OzpF67pQVwG5JCivhdGak2Joyf+sBcy4+3XaYyoZW6WYvPJpSiukpfVm1v4LmNovRcXrca6vziA0LYNZoWQHsjqSwEk7HU5oya615fU0+KXFhpCfLcIDwbNOHx9DUZmF9bqXRUXrU7uIa1uVWctvkRPx85J9gdyQ/VeF0PKUpc8dwwB0yHCAE6WYTwX7ebr9w5fXV+QT7eXP9OQOMjiJ6iBRWwil5QlPm11fnExPmL8MBQgD+Pt6cOzSab7PLsLppW6uSmiaW7CjmmgkJhAf6Gh1H9BAprIRTcvemzNkltazJqeDWDBkOEKLD9OExHKlrYdfhGqOj9IgFawuwai0rgN2cvKMLp+TuTZlfW51HoK83N8hwgBDHnD+0L14Kt9wstKGlnYWbDnHJyDgSIoOMjiN6kBRWwmlNH25ryrz1kHs1ZS6paWLx9mKunZBAnyDZEFSIDhHBfoxPjHTLO9UfZRZS19zOPFkB7Pa6VVgppf6ulNqrlNqplPpEKdXHUcGEOG+orSmzu73JLlhnGw6YN0XeYIU43kUpMewtraOwqtHoKA5jsWreWlfAmAF9GDsgwug4ood1947VcmCk1no0sB/4ffcjCWHjjk2Z65rbWLjhEJeMkuEAIU7kwuH2psxuNBz4bXYZBysb5WLKQ3SrsNJaf6217lgPvwHo3/1IQvwfd2vK/MHmQupa2rlL+oMJcUJJUcEM6hviVoXVG2vy6dcnkJkjYo2OInqBI+dY3Q4sc+DxhDh29bp8zxGDk3Rfm8XKm2vymZgUSWqCjJoLcTIzUmLYmFdFTVOb0VG6LetwDRvzq7gtIxEfb5nW7AlO+1NWSn2jlMo6wcflnR7zENAOvHuK49yllMpUSmWWl3tGo03RffF9bE2Z3aGH2Oc7SyiuaeauaXK3SohTmT48hnarZuU+17+gemONbUPQa89JMDqK6CWnLay01tO11iNP8PEZgFLqVmAWcKM+xUQYrfWrWuvxWuvx0dHRjvsOhNtzh6bMWmteXZXHoL4hnD+0r9FxhHBqaQl9iArx45ts1y6symqbWbKjmKvHJxAWIBuCeorurgqcCTwIzNFau88SDuFU3KEp87rcSvaU1HLn1CS8vKR9jRCn4u2luGBYX1buO0Jru9XoOGft3+sLsGjNTycnGh1F9KLuDvi+AIQCy5VS25VSLzsgkxA/0NGU+f+3d+fBUZxnHse/jyQQhyTACIQAi8PmkHwEsI3vW8pmN1k7jpPK+oivOF6yqbiy2WSPJJVsZStbqc1Rm+zWLvEBrJfYxtkcPuIrOLY5fQAGDEbGgEBgwIhbHBI6nv2jW0TGAgTqmZ6e+X2qVMz0TL/zjOAZnnm7+32SfDLrL+ZtoLSokBsnjYg7FJFEqKkaRmNTK2/U7Y47lNNy+Egbv3y9nprKMkYN7h93OJJGBT3Z2d3PjioQkePpaMr82Bv1HDrSSr/ePfpnm3Zrtu1n3toGvvlnE+jTKz/ucEQS4YqzSyksyGPumg+4Ylxp3OGcsl8v28LeQy3cqyuAc44uUZBESHJT5ofm19G3Vz63Xaz2NSLd1bd3PleOK03kOnbt7c6MhXWcN2IAF43WgqC5RoWVJMLUMWdQnMCmzNv3NfHUivfVvkbkNFRXlvH+3sPUbm+MO5RT8uraBjY0HOSLV4zBTOdU5hoVVpIIvfLzuHZC8poyz1xUR1u72teInI7rK8swI3FfqB5eUEdZSSF/cV553KFIDFRYSWLUVCWrKbPa14j0zJDiQiadOTBRF67Ubt/PgnU7ufOy0fQu0H+xuUh/65IYSWvKrPY1Ij1XXVnGyi372L6vKe5QuuXh8JzKW6fqnMpcpcJKEiNJTZnVvkYkGjVVyWnK3NDYzJPLt3LzBSN0TmUOU2EliVJztCnzwbhDOaFn31b7GpEojBtaxKjB/RJRWM1+bRNH2tq5+3KdU5nLVFhJolQfbcqcuR+yHe1rzhrSX+1rRHrIzKiuLGPRul0cbG6NO5zjamppY/Zrm7hu4lDOGlIUdzgSIxVWkihJaMq8aP0uVm/dz31XjVX7GpEIVFeWcaStnfnvNcQdynE9tXwruw4e4V5dAZzzVFhJ4mR6U+YH1L5GJFIXjR7EgL69eDFDZ6rdnYcWbGDisGIuPWtw3OFIzFRYSeJUVw3FHf5Ym3kfsu9ub+TVtQ3cddkota8RiUhBfh7XTRzKy7U7aG3LvKbMC9btZO0HB7QgqAAqrCSBqspLGDGwb0aeZ/XAvA307ZXP7ZeMijsUkaxSXVnGnkMtLKvfG3coH/HwgjpKiwq5YdLwuEORDKDCShKnoynz/Pd2cuhI5pzMqvY1Iqlz1fhSeuVbxl0duG5HI6+828AXLhlFYYFmqUWFlSRUJjZlnrVoo9rXiKRIpq5jN2PhRnoX5HH7JVoQVAIqrCSROpoyz82Qw4EHmlv55eub1L5GJIU+nmHr2O0+eITfLNvCZyaPYHBRYdzhSIZQYSWJlGlNmR9/o57GJrWvEUml6yszaxX2R1/fRFNLO/dollo6UWEliVVTVcauDGjK3NLWzsyFG5mq9jUiKTV8YF/OGV6SETPVR1rbeWTxJq4cV8r4suK4w5EMosJKEuvqDGnK/Ozb23h/72H+Wu1rRFKupqqMpfV72Hkg3nXsnlm5lR2NzdyrWWo5hgorSayS8GTWOL+9qn2NSHpVV5aF69jtiC0Gd+fhBXWMG1rEVeNKY4tDMpMKK0m0mqoyNuw8yLodB2J5/cVh+5ovXan2NSLpcM7wEsoH9In1C9XrdbtZvXU/92hBUOmCCitJtLibMj8wP2hf8+nJal8jkg4dTZnnv7eTppa2WGJ4aH4dZ/TvzU3Ke+mCCitJtDibMr+7PVgYUO1rRNKrpqqMwy1tLFyX/nXsNu48yEu1H3DbxRXKe+mSCitJvOrKsliaMj84P2hfc9vFal8jkk4Xjz2DosKCWJZdmLmwjl55eXzhUuW9dE2FlSReTVVZ2psyf7C/iSeXB+1rBvVX+xqRdCosyOfq8UOYu2YH7Wlcx27f4RZ+tXQLf/mx4Qwt7pO215VkUWEliRdHU+aZC4P2NfdcroUBReJQXTWUhsZmVmxJX1Pmx9+o59CRNrWtkhNSYSWJl+6mzEfb15xbTsVgta8RicO1E4aSn5e+pswtbe3MWrSRS8cOpmp4SVpeU5JJhZVkherKoCnzgjQ0ZZ7z5uagfY0WBBWJzcB+vblo9CDmvpOe9ayeW7WdbfuauPdKzVbJiamwkqxw8digKXOqDwe2tLUzY0Gd2teIZIDqyjLe/aCR+l2HUvo6HQuCji3VQsByciqsJCukqylzR/saNVsWiV9NVbiOXYoPBy6r38OKzXu5+/LRWghYTkqFlWSNVDdldncenB+0r7luor61isRt1OD+jC8rSvkq7A8vqGNA317cfMHIlL6OZAcVVpI1Opoyp+pDdvH6Xax6X+1rRDJJdWUZb2zczb5DLSkZf/PuQzy/aju3TK2gX++ClLyGZBf9K5Gs0dGUecbCOhZv2MXEYcVUlpcwcVgJVeUlDOjXq0fjq32NSOaprirjv15Zz49erOXGSSM4b8SASFdEn7VoI3lm3HmZFgSV7lFhJVnlu5+qYs6bm1mzfT9z1+zgiSVbjj42fEAfJpaXUFlezMRhJVSWlzCmtD/53Zh96mhf842Pj1cbC5EMMmnkQK44u5TZr9Uz+7V6CvKMc4aXMLliEJMrBjKlYhAjB/U9rWbJjU0tzHlzM588v5zyAX1TEL1kIxVWklXGlRXznU9VAcE5UQ2NzbyzbT+12xtZs20/tdsambe2gdbwBPfCgjwmDCv+0OxWZXkxA/t9eDX1h9S+RiQj5eUZs++9mJ0Hmnmrfi/L6vewbNMe5ry5mVmLNgIwpLiQKWGRNWXUoG7Paj2xZAsHmlu1IKickh4VVmb2L8CNQDuwA7jL3bdGEZhIT5kZQ0v6MLSkD9d0ukS6ubWNdTsOsGZbI7Xb9nc5u1U+oE9YaBUzprQ/v1v+PrdOrVD7GpEMVVpUSE1V2dErBVvb2qnd3shb9XtYFhZcL6wOzr8syDOqhpcw5QSzWm3tzsyFdVw0ehDnj9TSKtJ95n76l6abWYm77w9v3w9Uufu0k+134YUX+pIlS077dUWidrzZrfUNB2htd/LzjJf/7hqttC6SYB2zWkGxtYcVm/dxuKUNCGa1Jp85kCmjBjGlYhBb9x7ma3OWM/32KXzi3PKYI5e4mdlSd7+wO8/t0YxVR1EV6g+krxumSIRONrvljooqkYTrzqzWi52uKj7zjL7UVA2LK1xJqB7NWAGY2Q+AO4B9wLXu3nCc590H3AdQUVFxwaZNm3r0uiIiIlHbeaCZ5fV7WbFlL5edVcqlZw2OOyTJAKcyY3XSwsrM5gJdlezfdvcnOz3vn4A+7v69k72oDgWKiIhIUkR6KNDdq7v5uo8CvwdOWliJiIiIZKMerbxuZuM63b0BqO1ZOCIiIiLJ1dN1rH5oZhMIllvYBJz0ikARERGRbNXTqwJvjioQERERkaRTE2YRERGRiKiwEhEREYmICisRERGRiKiwEhEREYmICisRERGRiKiwEhEREYlIj3sFntaLmjUQrHvVYQBBr8EoJWXMVI2rMXNzzFSNWwHURzxmUn6nGjN6SYk1l8dMSs6natxjxxzl7kO6tae7x/4DPJCrYyYpVo2Z+WOmMNaGhMSpMTN8zCTFmuNjJiLnM/F3mimHAp/O4TFTNa7GzM0xUzXu3hSMmZTfqcZMxrgaM1pJyflUjXvaY8ZyKFBEksXMlng3O7uLSPIp509fpsxYiUhmeyDuAEQkrZTzp0kzViIiIiIR0YxVF8zsJjNzM5sYdyxxMbMDJ3n8FTPLqmliMxtpZk+a2Xtmtt7MfmZmvU/w/K+ZWb90xiipo7xX3ivvc0uqcl6FVdduARYAf3UqO5lZfmrCkVQzMwN+A/zO3ccB44Ei4Acn2O1rgD5gs4fyPsco73NeSnJehdUxzKwIuBz4IuEv28yuMbN5ZvZbM3vHzKabWV742AEz+76ZvQ5cGl/k0Qvf9zOd7v+nmd0VY0ipdB3Q5O4zAdy9Dfhb4B4z629mPzazt81spZl91czuB4YDL5vZyzHGHZmTzVZkM+X9nyjvlfe5IJU5X5Dq4BPo08Dz7r7WzHab2ZRw+1SgimBh0+eBzwD/B/QHVrn7d2OJVqJyDrC08wZ3329m9cC9wBhgsru3mtkZ7r7bzL4OXOvuO2OIV6KlvM9NyvvclbKc14zVR90CPB7efjy8D/CGu28Iv9E8BlwRbm8Dfp3eECUFDOjqSg4DrgKmu3srgLvvTmdg6WRmRWb2kpktC7+p3xhuH21ma8zsQTNbbWYvmlnfuOONkPI+Nynvydm8T1nOa8aqEzMbTDA1fK6ZOZBPkHTP8tHk67jfFP4FZKNWPlx894krkDRYDdzceYOZlQBnAhvo+sM3GzUBN4Xf2kuB18zsqfCxccAt7v4lM3uC4Pc1O65Ao6K8/wjlvfI+q/M+1TmvGasP+yzwiLuPcvfR7n4mUEdQsU41szHh8dbPE5zwlu02AVVmVmhmA4Dr4w4ohV4C+pnZHXD05MSfALOAF4FpZlYQPnZGuE8jUJz+UFPKgH81s5XAXGAEUBY+Vufuy8PbS4HR6Q8vJZT3H6a8V95ne96nNOdVWH3YLcBvj9n2a+BWYDHwQ2AVwV/Asc/LGuEHSbO7bwaeAFYCvwTeijWwFPJgQbebgM+Z2XvAWoJvcd8CHiJoRrrSzFYQ/HuAYAG957LlJNbQbcAQ4AJ3nwR8wJ9mLJo7Pa+N7JnxVt6jvFfe51TepzTntUBoN5jZNcA33P1TcceSDmb2MeBBd58adyySPuHVQd8Gznb3r5rZtcAfCU7gBXjG3c8Nn/sNoMjd/zmWYNNAeS+5QHn/J1HlfDZUnhIhM5sG3E+wVovkiI7ZCoIZiqfNbAmwHKiNNTBJC+V9blLep4ZmrEREsxUiOUh5nxo6x0okx4WzFY8B34k7FhFJD+V96mjGSkRERCQimrESERERiYgKK5EcZGYzzGyHma3qtO1jZrY4XHn56XChxI7Vlw+b2fLwZ3qnfT5vQR+11Wb2b3G8FxHpnlPJ+/Cx88PHVoeP9wm3XxDeX2dmPzczi+P9ZCoVViK5aRbwiWO2PQT8o7ufR7B2yzc7Pbbe3SeFP9Pg6OrFPwKud/dzgDIzy+bFJEWSbhbdzPvwisHZwLQwv68BWsJ9/hu4j2BV9nFdjJnTVFiJ5CB3nwcc2/tsAjAvvP0Hjmn10YWxwFp3bwjvz+3GPiISk1PM+48DK919RbjvLndvM7NyoMTdF4cLrD5C0NBYQiqsRKTDKuCG8PbnCPqldRhjZm+Z2atmdmW4bR0wMTxUWEDw4dp5HxHJfMfL+/GAm9kLYXPmvw+3jwC2dNp/S7hNQiqsRKTDPcBXzGwpQS+0I+H2bUCFu08Gvg48amYl7r4H+DIwB5gPbCRo4CsiyXG8vC8g6J13W/jnTeGh/q7Op9LyAp1o5XURAcDdawmm/zGz8cAnw+3NhP3C3H2pma0n+Da7xN2fBp4O97mPoJeYiCTE8fKeYCbqVXffGT72LDCF4LyrkZ2GGAlsTVvACaAZKxEBwMyGhn/mESwaOD28P8TM8sPbYwlOVt1wzD6DgL8hOBFWRBLieHkPvACcb2b9wkP9VwPvuPs2oNHMLgmvBrwDeDKG0DOWZqxEcpCZPUZwlU+pmW0BvgcUmdlXwqf8BpgZ3r4K+L6ZtRLMSE1z944TYH8WtsUA+L67r03LGxCRU3Yqee/ue8zsp8CbBIf6nnX334fP+zLBFYZ9gefCHwlp5XURERGRiOhQoIiIiEhEVFiJiIiIRESFlYiIiEhEVFiJiIiIRESFlYiIiEhEVFiJSFYxs2lmdscpPH+0ma1KZUwikju0jpWIZA0zK3D36Sd/pohIaqiwEpGMYmajgeeB14HJwFqC1Z0rgZ8CRcBO4C5332ZmrwCLgMuBp8ysGDjg7j82s0kEK0n3A9YD94QLH14AzAAOAQvS9+5EJNvpUKCIZKIJwAPufj6wH/gK8B/AZ929oyj6QafnD3T3q939J8eM8wjwD+E4bxOsNA3B6tL3u/ulqXwTIpJ7NGMlIplos7svDG/PBr4FnAv8IWhPRj6wrdPz5xw7gJkNICi4Xg03/Q/wqy62/y/w59G/BRHJRSqsRCQTHdtrqxFYfYIZpoOnMLZ1Mb6ISCR0KFBEMlGFmXUUUbcArwFDOraZWS8zO+dEA7j7PmCPmV0ZbvoC8Kq77wX2mdkV4fbbog9fRHKVZqxEJBOtAe40s18A7xGcX/UC8PPwUF4B8O/A6pOMcycw3cz6ARuAu8PtdwMzzOxQOK6ISCTMXTPiIpI5wqsCn3H3c2MORUTklOlQoIiIiEhENGMlIiIiEhHNWImIiIhERIWViIiISERUWImIiIhERIWViIiISERUWImIiIhE5P8B31fT4mD6C20AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data['seasonnal_diff'][:25].plot(legend=True, title='Atmospheric CO2 data',figsize=(10,5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On va essayer d'identifier la période moyenne de l'oscillation et l'évolution de l'enveloppe du signal par une fonction linéaire." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'oscillation saisonnière ressemble à un signal de la forme $(At + B) \\sin(\\omega t+\\phi)$ avec $\\omega = 2 \\pi f$ et $f = \\frac{1}{T}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Enveloppe" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "2.761e-05 x + 2.207\n" ] }, { "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": [ "x=data['Date Excel'].values\n", "a=data['seasonnal_diff'].values\n", "i_locmax=np.r_[True, a[1:] > a[:-1]] & np.r_[a[:-1] > a[1:], True]\n", "\n", "#on retire le dernier point car il n'est pas vraiment un maximum local\n", "i_locmax[-1]=False\n", "\n", "plt.plot(x,a)\n", "plt.plot(x[i_locmax],a[i_locmax])\n", "\n", "y_env = a[i_locmax]\n", "x_env = x[i_locmax]\n", "poly = np.poly1d(np.polyfit(x_env, y_env, 1))\n", "print(poly)\n", "\n", "plt.plot(x, poly(x), c='r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Période\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "La durée moyenne entre deux maxima locaux est de 365.2 jours\n" ] } ], "source": [ "T=np.mean(x_env[1:]-x_env[:-1])\n", "print('La durée moyenne entre deux maxima locaux est de %.1f jours' %T)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-365.24252793394163\n" ] } ], "source": [ "omega=2*np.pi/T\n", "\n", "# condition initiale\n", "phi=np.arcsin(a[0]/poly(x[0]))-omega*x[0]\n", "print(phi)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "test=poly(x)*np.sin(omega*x+phi)\n", "plt.plot(x,a)\n", "plt.plot(x,test,c='r')\n", "plt.margins(x=-0.45)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Les pics maximaux sont plutôt bien suivis mais les minimaux ne correspondent pas. On regarde l'enveloppe des minima locaux :" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "-2.952e-05 x - 2.344\n", "l'oscillation saisonnière est de 5.76 ppm en 1958\n", "l'oscillation saisonnière est de 7.05 ppm en 2019\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "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": [ "i_locmin=np.r_[True, a[1:] < a[:-1]] & np.r_[a[:-1] < a[1:], True]\n", "i_locmin[0]=False\n", "\n", "plt.plot(x,a)\n", "plt.plot(x[i_locmin],a[i_locmin])\n", "\n", "y_env_min=a[i_locmin]\n", "x_env_min=x[i_locmin]\n", "\n", "poly_min = np.poly1d(np.polyfit(x_env_min, y_env_min, 1))\n", "print(poly_min)\n", "\n", "\n", "\n", "amp1=y_env[0]-y_env_min[0]\n", "x1=pd.Timestamp(year=1900,month=1,day=1)+pd.Timedelta(days=x_env[0])\n", "y1=x1.year\n", "print('l\\'oscillation saisonnière est de %.2f ppm en %i' %(amp1,y1))\n", "amp2=y_env[-1]-y_env_min[-1]\n", "x2=pd.Timestamp(year=1900,month=1,day=1)+pd.Timedelta(days=x_env[-1])\n", "y2=x2.year\n", "print('l\\'oscillation saisonnière est de %.2f ppm en %i' %(amp2,y2))\n", "\n", "plt.plot(x, poly_min(x), c='r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Caractérisation de l'oscillation périodique**\n", "\n", "L'oscillation saisonnière est périodique avec une période d'environ un an et une variation comprise entre 5.76 ppm en 1958 et 7.05 ppm en 2019" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolution systématique" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data['seasonally adjusted filled [ppm]'].plot(legend=True, title='Atmospheric CO2 data',figsize=(10,8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On va essayer de faire une régression polynomiale sur ces données." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 3 2\n", "6.472e-13 x + 3.441e-08 x - 4.969e-05 x + 293.5\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "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": [ "x=data['Date Excel'].values\n", "y=data['seasonally adjusted filled [ppm]'].values\n", "poly = np.poly1d(np.polyfit(x, y, 3))\n", "print(poly)\n", "#xp = np.linspace(0, 7, 100)\n", "plt.plot(x,y)\n", "plt.plot(x, poly(x), c='r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On a commencé par utiliser le format excel de la date pour avoir des données de type float pour pouvoir travailler avec numpy. En effet : Excel stocke les dates sous la forme de numéros de série séquentiels afin qu’elles soient utilisables dans des calculs. Le 1er janvier 1900 porte le numéro de série 1, et le 1er janvier 2008 le numéro de série 39448 car il se situe 39 447 jours après le 1er janvier 1900. Pour pouvoir afficher une date correcte, vous devez modifier le format de nombre (Format de cellule)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The model gives 425.62 ppm of atmospheric CO2 in June 2025\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ref_excel=pd.Timestamp(year=1900,month=1,day=1)\n", "end_pred=pd.Timestamp(year=2025,month=6,day=1)\n", "end_pred_xl=(end_pred-ref_excel).days\n", "xpred=np.linspace(data.iloc[0]['Date Excel'],end_pred_xl,900)\n", "plt.plot(xpred, poly(xpred), c='r',label='Polynomial regression')\n", "plt.plot(x,y,label='seasonally adjusted filled [ppm]')\n", "plt.legend()\n", "prd=poly(end_pred_xl)\n", "print('The model gives %.2f ppm of atmospheric CO2 in June 2025' %prd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bonus : Moyenne annuelle et semetrielle" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "first_jan_month = [pd.Period(pd.Timestamp(y, 1, 1), 'M')\n", " for y in range(1959,data.index[-1].year)]\n", "first_jun_month = [pd.Period(pd.Timestamp(y, 7, 1), 'M')\n", " for y in range(1958,data.index[-1].year)]\n", "first_sem_month = first_jun_month + first_jan_month\n", "first_sem_month.sort()\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "year = []\n", "yearly_mean = []\n", "for month1, month2 in zip(first_sem_month[:-1],\n", " first_sem_month[1:]):\n", " one_year = data['CO2 filled [ppm]'][month1:month2-1]\n", " assert abs(len(one_year)) == 6\n", " #print(len(one_year))\n", " yearly_mean.append(np.mean(one_year))\n", " year.append(month2.year)\n", "yearly_mean = pd.Series(data=yearly_mean, index=year)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Voici les moyennes semetrielles" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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osMkk8Tt/aL7OvEg/UXQjhRI6bDKu2YSpk48ZVEwjfU/RjfRMs92b6tKGTWokjYiWQJASaGf3pjx3/iL9qmWhN7NxwI+AsdH5N7v7Z2Pf/zRwBTDo7s9HxxYBHwP2ABe4++0jcO1SUs1Gwzjkimk0kkYkXcgd/TAwx913mNkY4F4zW+Xuq81sCnAasLl+spnNBOYDxwKTgDvNbIa77xmB65eSCNn8I2T3Ju3bKpJdy0LvtRB/R/R0TPRVD/b/BbgI+FbsJXOB5e4+DDxpZpuA2cB9nbpoKZ+QqCVt96b9hk1qJI1IZkEZvZmNAtYBRwNXu/v9ZnYW8Iy7rzez+OlHAqtjz7dEx6QPdSJq0QJkIu3JNOrGzA4BVgIXAv8JvNvdf2NmTwFD7v68mV0N3Ofuy6LXXAt8x92/0fBeC4GFAFOnTj3x6aef7kR7pGCyTloKGYmjBchEakZkwpS7bwfuphbPHAWsj4r8ZOCnZvY6anfwU2Ivmww8m/Be17j7kLsPDQ4OZrkMKbh21qZpHImTZcKUiCQLGXUzCOxy9+1mdiDwLmCJu0+InfMU++7obwFuMLMrqXXGTgfWjMjVSyGFRi3N7t6zjMQRkeZCMvqJwHVRTj8ArHD3W9NOdvcNZrYCeBTYDZyvETfVFVKs41FL2lj4dkbiiEhzmhkrbYlvyH3BqdPb2oy7fvd+wKgBXt6z95VNvkUkmWbGyohqZ9KT7t5FukuFXnLJWqxDxsKnjaMXkfao0Euwdoq1xsKL9I4KvQTLU6ybLSGc1EErIp2nzlhpqZ2dnrSEsMjI0Q5T0pZO7fSktWlEek/RjSQKXe89dNKT8niR3lGhl7aKdTubh4hId6jQS65ifcylq5h28W2vvIeWLBApLhX6PtOp9WU06UmkPFTo+0yn1pfRpCeR8lChr7C8d+9BOz2NH6dJTyIloUJfYe3cvTcW9cb3W/z+41h6zr7hu7p7FykuTZiqoE6sDhlflfKmdVu005NIAWn1yj7Wzt17UsQDtQ+JA0YPvGokjogUn2bGVkB8Fiukd5R+/aOzuWDO0Xzu2xu44NSjX4leQrbvm3fCkZrdKlJSuqOvgMbsHEjtKI2f2xjJNOug3aaOV5HSUkZfMs1ilrqk7LxZbt8YySRFPPGOVxEpBi1qVgGNkQyExSxJi41liWS+/tHZLJ43i5mTDmbxvFkq8iIlp+imwPLGLPXsPGSjEEUyItWnQl8QeUe+NJvFGrJRiMbCi1SfMvqCiI9bv+DU6YnDI0cNGCsffKblOPisG4WISDlpHH1JpG21l2XkS+Ms1mYrUIpI/1Gh77Esk5uWnjMUtDSBdnUSkTgV+h4I6SRNW1gspIN27OgBTj5mUJ2sIgKo0I+4kDvwtMlN7SxNEL97VyerSH9ToR9hoXfg9U7StLv3tIin3kGriEZE0qjQd1CnFgfrRAetiEidCn0HtXMHHv+QyNpBW6eIRkSSqNB3QCfuwBtze23TJyKdoglTAZI6VOPHcHIPkUxbmGzAYEGTWawiIh2bMGVm44AfAWOj829298+a2RXAHwMvA08AH3X37dFrFgEfA/YAF7j77blb0mUho2SSjuUdItlsclP95+vuXUTa0fKO3swMOMjdd5jZGOBe4ELgYOD77r7bzJYAuPtnzGwmcCMwG5gE3AnMcPc9aT+jSHf0IVvoJUm7Aw+9ew/d4k9EpK5jd/Re+yTYET0dE325u38vdtpq4APR47nAcncfBp40s03Uiv59Ga6/K/KMkjlpxiAAP/zFtqA78HY26BYR6YSgzlgzGwWsA44Grnb3+xtOOQ/4r+jxkdQKf92W6FhPtYpkQkfJDL52LA6Jywu0+uBI66BVJ6uIjKSgQh/FLseb2SHASjOb5e6PAJjZJcBu4ProdEt6i8YDZrYQWAgwderUHJeeTae30Gs1ckZ37yJSFJlH3ZjZZ4GX3P1LZnYu8HHgVHf/XfT9RQDu/oXo+e3A59w9NbrpdEYfmou3s4WesncR6bVOjroZBHa5+3YzOxB4F7DEzM4APgOcVC/ykVuAG8zsSmqdsdOBNXkakVfeiUtpEUre2Ed37yJSBCHRzUTguiinHwBWuPutUSfrWOCO2sAcVrv7x919g5mtAB6lFumc32zETbvy5uKha7tD/thH2buIFEHIqJuHgRMSjh/d5DWXAZe1d2lh8t5Zh6ztnlTUIfuWfiIivVTambFp2+VlycVDxswnFfXQLf1EREZS5bcSzJqL511ZMinL14qRIlImpS30zXZm6tSY+bSirhUjRaRMSlvogdSdmTo5Zl5FXUTKrrQZfV03xsyLiBRR5TP6uk6PmRcRqZrSFnpttyciEqa00c3WF3fm2m5PRKQqKh/dNBt1U6dIRkSkxIUe0kfdiIjIPqWNbkRE+l1odDPQjYsREZHeUaEXEak4FXoRkYpToRcRqTgVehGRilOhFxGpuEIMrzSzbcDTHX7bI4DnO/yevVCVdoDaUlRVaUtV2gHhbXm9uw+2OqkQhX4kmNnakPGlRVeVdoDaUlRVaUtV2gGdb4uiGxGRilOhFxGpuCoX+mt6fQEdUpV2gNpSVFVpS1XaAR1uS2UzehERqanyHb2IiFCiQm9mXzWzrWb2SOzYm83sPjP7mZl928wOjn3vTdH3NkTfHxcdPzF6vsnMvmxmVuS2mNnZZvZQ7GuvmR1fhLZkbMcYM7suOv6YmS2KvaZsfyYHmNnXouPrzezkgrVlipn9IPp93mBmF0bHDzOzO8zs8ejXQ2OvWRRd80YzO70I7cnaDjM7PDp/h5ld1fBevf63krUtp5nZuuia15nZnLba4u6l+AL+CHgL8Ejs2APASdHj84B/jB6PBh4G3hw9PxwYFT1eA/whYMAq4D1FbkvD644D/jv2vKdtyfhnsgBYHj1+DfAUMK0I7cjRlvOBr0WPJwDrgIECtWUi8Jbo8XjgF8BM4HLg4uj4xcCS6PFMYD0wFjgKeKII/15ytOMg4B3Ax4GrGt6r1/9WsrblBGBS9HgW8Ew7benqX8AO/GZNa/iH+CL7+hmmAI9Gj98LLEv5zf557PmHgKVFbkvDa/4JuKxIbcnwZ/Ih4NvUPoQPj/6iH1aUdmRsy9XAh2Pn3QXMLlJbGtr1LeA0YCMwMfb3Z2P0eBGwKHb+7VEhKVR7WrUjdt6fEyv0RWtHlrZExw34X2ofxLnaUproJsUjwFnR4w9S+8cIMANwM7vdzH5qZhdFx48EtsRevyU6VgRpbYn7M+DG6HFR25LWjpuBl4DngM3Al9z9BYrbDkhvy3pgrpmNNrOjgBOj7xWuLWY2jdrd4f3A77v7cwDRrxOi044Efhl7Wf26C9OewHakKUw7IFdb/gR40N2HydmWshf684DzzWwdtf8OvRwdH03tv3BnR7++38xOpfbJ2Kgow47S2gKAmb0V+J271zPkorYlrR2zgT3AJGrxwN+a2RsobjsgvS1fpfYPbC3wr8BPgN0UrC1m9lrgG8An3f3FZqcmHPMmx7sqQztS3yLhWE/+XLK2xcyOBZYAf1k/lHBay7aUes9Yd/858G4AM5sBnBl9awvwQ3d/Pvred6jlr8uAybG3mAw827ULbqJJW+rms+9uHmptLFxbmrRjAfBdd98FbDWzHwNDwD0UsB2Q3hZ33w18qn6emf0EeBz4NQVpi5mNoVZQrnf3b0aHf2VmE939OTObCGyNjm9h//9B1q+753/HMrYjTc/bAdnbYmaTgZXAR9z9iehwrraU+o7ezCZEvw4AlwL/EX3rduBNZvYaMxsNnEQtX30O+K2ZvS3qqf4Itays55q0pX7sg8Dy+rGitqVJOzYDc6zmIOBt1LLGQrYD0tsS/b06KHp8GrDb3Qvz9yv62dcCj7n7lbFv3QKcGz0+N3ZttwDzzWxsFEVNB9b0uj052pGo1+2A7G0xs0OA26j1nfy4fnLutvSyQyJj58WN1PLdXdQ+1T4GXEitU+8XwBeJOs6i8z8MbKCWs14eOz4UHXsCuCr+mgK35WRgdcL79LQtWdoBvBa4KfozeRT4u6K0I0dbplHrRHsMuJPaCoJFass7qP13/mHgoejrvdQ6we+i9r+Pu4DDYq+5JLrmjcRGcfSyPTnb8RTwArAj+nOc2et25GkLtRuLl2LnPgRMyNsWzYwVEam4Ukc3IiLSmgq9iEjFqdCLiFScCr2ISMWp0IuIVJwKvYhIxanQi4hUnAq9iEjF/T9tb0UgW3UVBgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "yearly_mean.plot(style='*')" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "first_jan_month = [pd.Period(pd.Timestamp(y, 1, 1), 'M')\n", " for y in range(1959,data.index[-1].year)]\n", "year = []\n", "yearly_mean = []\n", "for month1, month2 in zip(first_jan_month[:-1],\n", " first_jan_month[1:]):\n", " one_year = data['CO2 filled [ppm]'][month1:month2-1]\n", " assert abs(len(one_year)) == 12\n", " #print(len(one_year))\n", " yearly_mean.append(np.mean(one_year))\n", " year.append(month2.year)\n", "yearly_mean = pd.Series(data=yearly_mean, index=year)\n", "\n", "yearly_mean.plot(style='*')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Les moyennes annuelles sont plus en accord avec les données saisonnières données dans le fichier" ] } ], "metadata": { "celltoolbar": "Hide code", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }