{ "cells": [ { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Travail pratique avec évaluation par les pairs\n", "## Sujet 1 : Concentration de CO2 dans l'atmosphère depuis 1958\n", "### Auteur: William Dethier (william.dethier@univ-grenoble-alpes.fr)\n", "\n", "## Consignes:\n", "En 1958, Charles David Keeling a initié une mesure de la concentration de $CO_2$ 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 https://en.wikipedia.org/wiki/Keeling_Curve pour l'histoire et l'importance de ces données).\n", "\n", "Les données sont disponibles sur le [site Web de l'institut Scripps](https://scrippsco2.ucsd.edu/data/atmospheric_co2/primary_mlo_co2_record.html). Utilisez le fichier avec les observations hebdomadaires. Attention, ce fichier est mis à jour régulièrement avec de nouvelles observations. Notez donc bien la date du téléchargement, et gardez une copie locale de la version précise que vous analysez. Faites aussi attention aux données manquantes.\n", "\n", "Votre mission si vous l'acceptez :\n", "1. Réalisez un graphique qui vous montrera une oscillation périodique superposée à une évolution systématique plus lente.\n", "2. Séparez ces deux phénomènes. Caractérisez l'oscillation périodique. Proposez un modèle simple de la contribution lente, estimez ses paramètres et tentez une extrapolation jusqu'à 2025 (dans le but de pouvoir valider le modèle par des observations futures).\n", "3. Déposer dans FUN votre résultat\n", "\n", "## Téléchargement des données:\n", "\n", "Nous nous rendons sur le site de l'**institut Scripps** avec l'url donné: https://scrippsco2.ucsd.edu/data/atmospheric_co2/primary_mlo_co2_record.html.\n", "\n", "Sur ce site nous choisissons les données correspondant à celle récoltées depuis 1958 jusqu'aujourd'hui qui sont des données hebdomadaires. Le fichier obtenu à le nom suivant: *weekly_in_situ_co2_mlo.csv*. Les données ont été téléchargées le 10 avril 2020 à 08:38. \n", "\n", "La description des données dans le fichier, indique que le fichier contient deux colonnes indiquant la date et la concentration de $CO_2$ en micro-mol de $CO_2$ par mole (ppm: partie par million (mg/kg); [voir la page *Wikipedia* ](https://www.google.be/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&cad=rja&uact=8&ved=2ahUKEwjCn-T8qN3oAhXKwKQKHW0XAfMQFjACegQICxAF&url=https%3A%2F%2Ffr.wikipedia.org%2Fwiki%2FPartie_par_million&usg=AOvVaw17FszDa5Y_l-nQSsHYMHmC)pour une explication détaillée ).\n", "\n", "## Pré-traitement des données:\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import isoweek\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "Après inspection visuelle, les premières lignes du fichier CSV sont un commentaire, que nous ignorons en précisant **skiprows=43**.\n", "\n", "**Attention: nous avons modifié le fichier source en ajoutant simplement le nom des colonnes afin de ne pas avoir une partie du commentaire dans l'affichage et afin que ce soit plus clair. Cela ne change rien aux données. Nous avons écrit une ligne entre la fin du commentaire et le début des données comme suit: Date, Concentration .\n", "Nous utilisons donc un fichier nommé *weekly_in_situ_co2_mlomodified.csv* comprenant la modification, mais afin d'avoir les données originales, le fichier source *weekly_in_situ_co2_mlo.csv* est tout de même gardé dans le répertoire sur GitLab.**\n", "\n", "Ensuite, nous affichons les données brutes." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "text/html": [ "
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DateConcentration
01958-03-29316.19
11958-04-05317.31
21958-04-12317.69
31958-04-19317.58
41958-04-26316.48
51958-05-03316.95
61958-05-17317.56
71958-05-24317.99
81958-07-05315.85
91958-07-12315.85
101958-07-19315.46
111958-07-26315.59
121958-08-02315.64
131958-08-09315.10
141958-08-16315.09
151958-08-30314.14
161958-09-06313.54
171958-11-08313.05
181958-11-15313.26
191958-11-22313.57
201958-11-29314.01
211958-12-06314.56
221958-12-13314.41
231958-12-20314.77
241958-12-27315.21
251959-01-03315.24
261959-01-10315.50
271959-01-17315.69
281959-01-24315.86
291959-01-31315.42
.........
31262019-07-06412.69
31272019-07-13412.30
31282019-07-20411.76
31292019-07-27410.32
31302019-08-03410.50
31312019-08-10410.48
31322019-08-17410.05
31332019-08-24409.52
31342019-08-31409.32
31352019-09-07408.80
31362019-09-14408.61
31372019-09-21408.50
31382019-09-28408.28
31392019-10-05407.99
31402019-10-12408.61
31412019-10-19408.77
31422019-10-26408.68
31432019-11-02409.86
31442019-11-09410.15
31452019-11-16410.22
31462019-11-23410.48
31472019-11-30410.92
31482019-12-07411.27
31492019-12-14411.67
31502019-12-21412.30
31512019-12-28412.59
31522020-01-04413.19
31532020-01-11413.39
31542020-01-25413.36
31552020-02-01413.99
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3156 rows × 2 columns

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" ], "text/plain": [ " Date Concentration\n", "0 1958-03-29 316.19\n", "1 1958-04-05 317.31\n", "2 1958-04-12 317.69\n", "3 1958-04-19 317.58\n", "4 1958-04-26 316.48\n", "5 1958-05-03 316.95\n", "6 1958-05-17 317.56\n", "7 1958-05-24 317.99\n", "8 1958-07-05 315.85\n", "9 1958-07-12 315.85\n", "10 1958-07-19 315.46\n", "11 1958-07-26 315.59\n", "12 1958-08-02 315.64\n", "13 1958-08-09 315.10\n", "14 1958-08-16 315.09\n", "15 1958-08-30 314.14\n", "16 1958-09-06 313.54\n", "17 1958-11-08 313.05\n", "18 1958-11-15 313.26\n", "19 1958-11-22 313.57\n", "20 1958-11-29 314.01\n", "21 1958-12-06 314.56\n", "22 1958-12-13 314.41\n", "23 1958-12-20 314.77\n", "24 1958-12-27 315.21\n", "25 1959-01-03 315.24\n", "26 1959-01-10 315.50\n", "27 1959-01-17 315.69\n", "28 1959-01-24 315.86\n", "29 1959-01-31 315.42\n", "... ... ...\n", "3126 2019-07-06 412.69\n", "3127 2019-07-13 412.30\n", "3128 2019-07-20 411.76\n", "3129 2019-07-27 410.32\n", "3130 2019-08-03 410.50\n", "3131 2019-08-10 410.48\n", "3132 2019-08-17 410.05\n", "3133 2019-08-24 409.52\n", "3134 2019-08-31 409.32\n", "3135 2019-09-07 408.80\n", "3136 2019-09-14 408.61\n", "3137 2019-09-21 408.50\n", "3138 2019-09-28 408.28\n", "3139 2019-10-05 407.99\n", "3140 2019-10-12 408.61\n", "3141 2019-10-19 408.77\n", "3142 2019-10-26 408.68\n", "3143 2019-11-02 409.86\n", "3144 2019-11-09 410.15\n", "3145 2019-11-16 410.22\n", "3146 2019-11-23 410.48\n", "3147 2019-11-30 410.92\n", "3148 2019-12-07 411.27\n", "3149 2019-12-14 411.67\n", "3150 2019-12-21 412.30\n", "3151 2019-12-28 412.59\n", "3152 2020-01-04 413.19\n", "3153 2020-01-11 413.39\n", "3154 2020-01-25 413.36\n", "3155 2020-02-01 413.99\n", "\n", "[3156 rows x 2 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_from_site=open(\"weekly_in_situ_co2_mlomodified.csv\")\n", "#data_from_site=open(\"weekly_in_situ_co2_mlo.csv\")\n", "\n", "raw_data = pd.read_csv(data_from_site, skiprows=44)\n", "raw_data" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "Y a-t-il des points manquants dans ce jeux de données ? Après une inspection visuelle on vérifie avec la ligne suivante." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
DateConcentration
\n", "
" ], "text/plain": [ "Empty DataFrame\n", "Columns: [Date, Concentration]\n", "Index: []" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "raw_data[raw_data.isnull().any(axis=1)]" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "Pas de données manquante, on continue l'analyse.\n", "\n", "On vérifie le type des données:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n" ] } ], "source": [ "print(type(raw_data[\"Date\"][0]),type(raw_data[\"Concentration\"][0]))" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "La concentration est donc bien un nombre on doit pas changer. Les dates sont des chaînes de caractère, on doit donc traiter pour avoir une forme utilisable dans un graphique." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 1958-03-29\n", "1 1958-04-05\n", "2 1958-04-12\n", "3 1958-04-19\n", "4 1958-04-26\n", "5 1958-05-03\n", "6 1958-05-17\n", "7 1958-05-24\n", "8 1958-07-05\n", "9 1958-07-12\n", "10 1958-07-19\n", "11 1958-07-26\n", "12 1958-08-02\n", "13 1958-08-09\n", "14 1958-08-16\n", "15 1958-08-30\n", "16 1958-09-06\n", "17 1958-11-08\n", "18 1958-11-15\n", "19 1958-11-22\n", "20 1958-11-29\n", "21 1958-12-06\n", "22 1958-12-13\n", "23 1958-12-20\n", "24 1958-12-27\n", "25 1959-01-03\n", "26 1959-01-10\n", "27 1959-01-17\n", "28 1959-01-24\n", "29 1959-01-31\n", " ... \n", "3126 2019-07-06\n", "3127 2019-07-13\n", "3128 2019-07-20\n", "3129 2019-07-27\n", "3130 2019-08-03\n", "3131 2019-08-10\n", "3132 2019-08-17\n", "3133 2019-08-24\n", "3134 2019-08-31\n", "3135 2019-09-07\n", "3136 2019-09-14\n", "3137 2019-09-21\n", "3138 2019-09-28\n", "3139 2019-10-05\n", "3140 2019-10-12\n", "3141 2019-10-19\n", "3142 2019-10-26\n", "3143 2019-11-02\n", "3144 2019-11-09\n", "3145 2019-11-16\n", "3146 2019-11-23\n", "3147 2019-11-30\n", "3148 2019-12-07\n", "3149 2019-12-14\n", "3150 2019-12-21\n", "3151 2019-12-28\n", "3152 2020-01-04\n", "3153 2020-01-11\n", "3154 2020-01-25\n", "3155 2020-02-01\n", "Name: convert, Length: 3156, dtype: datetime64[ns]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from datetime import datetime\n", "\n", "def convert_week(year_and_week_str):\n", " datetime_object = datetime.strptime(year_and_week_str, '%Y-%m-%d')\n", " return datetime_object\n", "\n", "raw_data['convert'] = [convert_week(yw) for yw in raw_data['Date']]\n", "raw_data['convert']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "N'étant pas parvenu à utiliser la librairie isoweek pour obtenir les semaines pour ces données; j'ai utilisé la librairie *datetime* pour convertir les données *Date* qui étaient des *string* en données utilisable pour un plot, dont voici le type. \n", "\n", "L'information sur la librairie *datetime* à été prise sur le site suivant: [https://stackabuse.com/converting-strings-to-datetime-in-python/]()." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "print(type(raw_data['convert'][0]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On peut désormais faire un graphique des données de concentration en fonction du temps pour avoir une vision des données. Nous remarquons l'oscillation mentionnée dans la consigne au début du document, nous allons désormais superposer la coubre de l'évolution plus lente. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "raw_data.plot(\"convert\",\"Concentration\")\n", "raw_data[-75:].plot(\"convert\",\"Concentration\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous utilisons un filtre pour faire un fit des données. Nous importons la fonction *signal* de *scipy* et utilisons le filtre *savgol*. Nous superposons les données et le fit sur le même graphique. Cela permet de voir l'évolution lente." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/conda/lib/python3.6/site-packages/scipy/signal/_arraytools.py:45: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " b = a[a_slice]\n" ] }, { "data": { "image/png": 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prLIT0YbKCp9osrxSCHFSvTp3BzklNbjcHkxGA3VOb4nhXikRpGx7F7a9zGNmoA4cUR35KGkSZRV2Lh3QsB5+2u+HkBEbcpKuoOWTGb0Q4qSqL12QXVwNwIjnfgJgnGchg7a9DMCS4LNg1BPUXDebaevKqLa7GNQ+xn+Os7rG077RHq8ikAR6IUSz+jpzf0D7jM5xjOgcS2WdE4CSagdnG9Zzd+U/AKg6+xk+TvsLjHyU8DjvLL78oBU24tdJ6kYI0WzyK2qZ+PE6Lu7XkHYpq3GSHBnM/K0FDMqfzidB0xiotqM8br4Ov4bE9jeQVlcIeJ9y7RgXSmm142RdQqskgV4I0WzqZ/PVdhehFhN2l5vdxTb+MLI9Yd/8AcrmMbQ+zzDkTj7Yeynn76sI2BikR3IEWw9UHubs4pdI6kYI0Wy0hpjQIHYUVAHw5dp95JbW0nPTy/Qum4e2hDM15hG4dzWMewGtFBvzygMCvcmocLn1ybqEVklm9EKIZmOzuxjaMYb8ijoGOGuJdpUwOWk1EevfxoWR7HPfpbAwDeK8m3WvzC4lyGjglWv6+88xOCOG0FNw85DjIf9aQogmU5+iqffNhnzO65kIhVvh+zsYW13kf+29iLtxVnciOaqhENnVg1OZvjov4InXG4a2b57BtyGSuhFCNIl5Wwvo9dQPFFbWAeD2aHYXVzMoppaRK++C6iJc2oDbaIWzJjE39EIOVNQxonND2YInL+7F7IlnnKxLaDMk0AshmsTt/1sNwHZfPn7a0hwsOBi+4h7C7AV4Uk+nl/09tt6yHc6ZzJb9lewsrCItuuHBpzCL6ZStIX8iHTHQK6WsSqmVSqlMpdRmpdTTvv7+SqnlSqn1SqnVSqkhjd4zWSmVpZTarpQa05QXIIRoGSpqnAHttBhvwN5RYINNXxDz8+MsSptKWNkWcjyJvJf+d5Jjo+idGgVA+9gQNuZVSP69CRzNv6gdGKW1timlzMBipdR3wDPA01rr75RS44AXgLOVUj2BCUAvIAWYq5TqqrV2N9E1CCFOMpvdRb9nfmTbX8f6N/sY2zuJ9JgQQjZ/Anv/zqUARYAy8GbsJPpHJvDA6GT/OdKiQ9i8X5ZNNoUjzui1l83XNPv+aN+fCF9/JFD/uNslwCdaa7vWOhvIAoYghGizVuwuAfBvFuJye1i+q4RRHUMZlfcvAFaZB8PAG+GaDyiM6E1ZjQOruSEEvXJNf5ZNHtX8gz8FHFWOXillVEqtBwqBOVrrFcADwItKqVzgJWCy7/B2QG6jt+f5+g4+5x2+lM/qoqKig18WQrQiNQ7vL+yvzdsJQEWtk5SoYJK3TSPSU4Y9cQD/af88jH8dul9IfJiFVTmlJEUG+88RHGQkuVFbnDhHFei11m6tdX8gFRiilOoN/AF4UGudBjwIvOs7XB3uFIc551St9WCt9eD4+PjfNnohRIsw8eN1xIQG+Tf6qKxzkWCuhSWvAbC770NkxIX5j48Lt7BgexH9UuVGa3M4plU3WutyYAEwFrgJ+NL30mc0pGfygLRGb0ulIa0jhGgDLvnnYopt9oC+Hsnh1FRXwewHiZp+ORP3PgB1FWwPHsBS3YfEiIaNQeZv89auabw+XjSdo1l1E6+UivL9HAyMBrbhDd5n+Q4bBez0/TwLmKCUsiilOgBdgJUneuBCiJOjzukmM6+CL9bk+fsMCu45pzPDdr0Gq98junA5cdU7QRlZ2H4im/ZVBAT6ab8fwse3Dz0Zwz8lHc2qm2RgmlLKiPeLYbrWerZSqhx4TSllAuqAOwC01puVUtOBLYALuEdW3AjRdpT4Kkc++9027jyrE3VONwnhVk4r/w5z2QwwmPlf6M1cNyAWU5dzce+OZeOaPG4c1vBEa2KENSDwi6Z1xECvtd4ADDhM/2Jg0C+8Zwow5bhHJ4RocYqr6lM2Gha9jFr4KtPtFsxfexdVuM+fwuzMvtw4ahgACUV5ZBXaSI2WHaBOFnkyVghxTJbvLuGGoe250zgb5j2DxVlJusEb5N9VV7Cj/bU4XB7/8Qnh3pl7fLjlpIxXSFEzIcQRlFY7CLeaMBu988Jnv9vGZ5eE0M80HYA/OW/l5qGpdE1LYsv2niyfs4P1ueX+94dZJcycbDKjF0L8qoF/ncPVby/zt4Opo/+y+wlSblyDb2dN3KV0vfgh6H8dkSFBxIQE8WqjssK9UiKYec+IkzF04SOBXgjxi7T2PgKzbq93hr499wCPmT7BXLmH/ZZOzG13t79oGUBUiJkdhVUkRzbcaDUbDfRPi2regYsA8juVEOIXFdnshFtNVNW5YPV/6DD7UbqZvMXLFnZ5jL0FgXu3llY7WLe3XFbUtDAyoxdC+F36xhJmrtvnb2cV2rhleAYXR2XDNw8RhBNnZAcY/09cqUPZW1rDTY2WTe4q8pbFSoiQG68tiQR6IYTf+txyFmcV+9uvz8siVlXyjOMl0B5mhl6N4f51MPAGkiKsrM4pY3BGjP/4P43rQdfEMEKCJFnQkkigF0IEWLzTG+i35leyfHcR1+RNIdpThjttOB+H3YjR4C1bEBsWxIHKOoZ1atgRqkdyBD8+eNZhzytOHgn0QggANuSV0z42hNiwIHA72bPsC142v4V1z3yqjRHsPec1LJaGlEznhDCuHZJOXJikaVo6+f1KiFNUxqRvmHBaGs9d0ReA8f9cQrjVREaYG96/jLE5i8AIoJjd4QmslaEkRdT63x9uNfPs5X1OzuDFMZEZvRCngIxJ31DraCg5Vb9s8pNVuQHHfX5jd54qnQw5i6g2RVHS8ya45Vvyk87h/k/WsyVfdoBqjSTQC9HG1Zcj6PHk9/6+Zbu8O0INbh8NgKckm/4qi65zb6KjcweuiHT+HP8aIZe+Au2HU+f0nkPWw7dOkroRoo0rqKw7pC+3rIaHz+vK8l2FuL99DOPKt5hpAfZDRVASeeM+I29BGcFB3v1fo0PMANjqXM05dHGCyIxeiDZGa01Jo01BymocnNXVu4vbvvJanG4Pj32xkX7JVh6reg7jyrdwY2S3JxnSh/P9wH+x3xMdsFfcSN/7/zi2e7NeizgxJNAL0cYs2F7EoL/N9bfX55bTz5dyqamto3rPWrqrvQxedjd9qxbiCorgOvuf2H/DYvj9d4Qkd2fz/gr/LB68yyafuLCHPPHaSknqRog25pb/rgpoP/nVZs7vmciTg92kfTwKa+VuvrcAuVAXFMOCoe/i3m7ljC5xAHSKD+Mvszb7vxzq3XZmx+a6BHGCSaAXoo3SWqNKd9NfZTG0fCU35vwLk8dOrSUeg7sOS1QyW4f/k3UFEVjMFf73dYwPpaTawfh+KSdx9OJEkkAvRBvi9niXTQ5Ij6Ly+78RueIl703WUu/ru9Mu54HK6/jzpQM5LSOGuLJaVi5fR9eEcP85rGbvDViDQTbubisk0AvRymmtUcoblL9c692we6BtAZErXgKgwppKpNnN5xE38Z7tDCJCTQxIjwalSIq0sm5vOaN7JAacc0yvRM47qE+0XnIzVohW7JU5O7j8X0v97f8uzSGFYiY7/gnA/A4Ps/mqn+HhbfS48G6GdIjB4wGTb7eo+l2j0mIC93N9+4bB/qWVovWTQC9EK/bzjiLszob9Wc/oEsf/Ur7E5KphW9RZfG25mDTfptzxYRb2lddiNh2akkmNDm62MYvmJ4FeiFaiosbJjHV5AX0Wk6Fh5q01pYvfo3PpAjzmMKYn3Mf+yjr/bk/x4RY25lWQEhkY1LOfHcfA9OhmuQZxckigF6KV+H5zPg9+monHd8MVQANmo6KuvADXfy/mRfNUAOwjHyfXFRWQplFKcaCyjnCrOeC89fl90XZJoBeilXjsi40AHPCVNNBa43B56BwThP74Wkx7FlFjjIDzp2AZfhdzthRgPUyePbvY1qzjFiefBHohWiCn28P01Q2VJV1ubx7+tIxo9pV7SwVf8sYS1ueWMaH0XwQXrKE2OInPhnwGw+/F4JvF920Xeci537phUDNcgWhJZHmlEC3QgGfmYLO7uHpwGgDTlu0BYHz/dhwoq4LKeQwqW89zvWrpuesz3MrMtNSnSU1ODzhPp4TQgPaWZ8ZgMclqmlONBHohWiCb3VslsqLWSWSwmao6JzcOa08HQyHdfpoIVVt5CmCX9/gvM55kT3BPRidF+M/x7k2DGdQ+8Car7OV6apLUjRAtVIe4UPaUVAOwLb+KkVFFnD7/WuKrtuIITmCJuxcEhVN77hS+18Moq3YSExrkf/+5PRKJCgn6pdOLU4h8vQtxkq3KKeWbDfn8ZXwvwDuLB/j9iAz2FJTRd9urTMr9hvTc/RgcNpbr3mwe/CYbijyMmDAAq9bYtixnRXYpb/xu4Mm8FNFCHXFGr5SyKqVWKqUylVKblVJPN3ptolJqu6//hUb9k5VSWb7XxjTV4IVoC1bsLuG/S3P87QMV3lU1XSI1p82/Dha/QoZjBwaHjbrO47jJ/ggeczgX9kkGvMsjV2SXkhxpxSj1acRhHM2M3g6M0lrblFJmYLFS6jsgGLgE6Ku1tiulEgCUUj2BCUAvIAWYq5TqqrV2/8L5hTil+RbUYHe5sZiMrN1bhhE3fZY/SKhtC57IdP5lvol7rhqHNaEH/aYuJ6+shmGdYgPOI9v8iV9yxBm99qpfeGv2/dHAH4DntNZ233GFvmMuAT7RWtu11tlAFjDkhI9ciFbq+ndWBLRfmbuDfmlRrNtbDsCu3bv5v/D/Ebp3PlXGSHZd8CEFaWMhsSf4Hm7aXlBFRlzgihpXowephGjsqG7GKqWMSqn1QCEwR2u9AugKnKmUWqGU+lkpdZrv8HZA463l83x9QrRpszL3H9J3wWuLyC2t8bcLK+tYnFVMnbPhF9whHWL43ZB0DhQVw/uX8cS2S7jQOQdtDOIfMU+x3hZNz+SG1TTpMSHsLqomzBL4C/nBbSHqHVWg11q7tdb9gVRgiFKqN960TzQwFHgUmK68z1IfLkl4yFRDKXWHUmq1Ump1UVHRb74AIVqK+z5eFxDA52wpYGt+JbllDYF+xrp9AGQVen9JLq9xsDK7lOQQN0OW3AG7fsKJCR3XFXXlf9hs6snOQhtdEhvqxXs8mqqDNul+8cq+XD+0fVNenmjFjml5pda6HFgAjMU7U//Sl9pZCXiAOF9/WqO3pQKHTHW01lO11oO11oPj4+N/4/CFaBlqHd4AX+lbMQNQ4CtVUG1vCP5v/exd+L6ryBvo95bWYMDDwOX3kVK5HldYCqPsL6LuXQU9LmJldim7Cm2kNyojHGIxclqHmIDPv2pw2iFr5oWod8Tf9ZRS8YBTa12ulAoGRgPPAzZgFLBAKdUVCAKKgVnAR0qpf+C9GdsFWNlE4xeiRagP6kU2Owm+DbTtLu9d1rJqh/+4shon4/uleB+IclTz4BvTecr0I6G5P1NpiGLrOf/jmorAm6rzthUSF9awHv4vF/dC0vHiWBxNUi8ZmKaUMuL9DWC61nq2UioIeE8ptQlwADdprTWwWSk1HdgCuIB7ZMWNaOsmf+ktOLZlfyW9Urz1ZXYWVPH4uB6U1jgCju2RHMGMr2fxuwX/YJ7Fu8efNph4JWoyGfZ4MuIOfcipcYXJ+mqUQhytIwZ6rfUGYMBh+h3A9b/wninAlOMenRAtlM3uCrj5uWx3CdCQe9dasyGvgov6prAoy3sPyun2MLxTLNekFHK96VmoraZSRRIRl4wa+Sj/+TCYGwptDGqfdugHCnEc5Da9EL9B76d+YMbdw717r/rcPDyDPSXeG6+5pbVsya8kNcpKUv4CePtOKgr2cYWzJ9Gfr0VRje5+EXeV38VHd50JwNndVrI1v5L02IZ8/Mx7RtAjORwhjof8DijEMaovOFY/e683eVx37NVl8POLRHz7B642zqfd97dwy95JkJ9JnKeYK4wLUQ4bi6znsP+8f5EQFeZ/f2GlnXW55UQ02hikf1qUVJsUx01m9EIcwcWvL+aDW08nMsQbgF/6YTsA2w5UAeD23Rm1FG/l2aJ74UA+UcALZmAX1KgQQs5/gpdXVPNwwhrIOIPXNwziwXJnwGqaM7vEsSW/slmvTZwaZEYvxK+oc7rZuK+Cl+ds9/fV16V5d3E2FO/E8/UDvBP5dy/mAAAgAElEQVT8OrxzLknufEjqw49R1+CM6wF9JzDG9TLu0+9mhfVMuO5TGD4Ro8FATkk1aY0CfWKEldDD7AglxPGSQC/EryiqsgOQmVcBeG+yAjw6phuXxubCu+dhXvdfRutl4Krj55DzcN38A/+23ozpnmVw+dvkOiNZu7eMiOCGlExMWBDr9pYFzOhvHNae1U+c14xXJ04VEuiFaOSJmRuZsS7P3y6orOOWERlk5nrr0NhdHsIsJu5J3MzztiegtoxVnq6sSPs9XPMBX6U/Tp4NjAblXxJ536jOrNhdQueEhnx8p/gwpq/OC7jxajIaCJYZvWgCkqMXopEPlu9l0c5iLhuQCkBhlZ30mBCGZkTCon+gN3/L5+EKpq/EosDW50YmrDqPjTeMgyATUVlbmL+9MGADkJjQIP7y9RZuPaODv89q9s6xkiODm/cCxSlJZvRCNKIUJEda/e27P1xLlNnNvcV/g3lPE3xgFd1t3ge9FyXeyLaBf2FQh3j/Fn0mo+Lpr7cElD0o8T0Ze9uZDYF+h+9GrhDNQWb0Qvi8tzibxHArHg/g8bDkh0+52LCJi9e/gsm1CndQBN+l3MuAeEW79I5sLO6HY1cJvVIaKkvafUXNJl3Q3d93Zpd4Xv8pK2D2/tgF3bl/dNdmuzZxapNAL4TPM7O3ANA92oP+9DpGbP+OEUHAfqgMSmTXmP8yPdPEOaMHgsVE3Kpc5mwt4PRGBcauH9qeacv2kBLVENRNxkMLukrKRjQnSd2IU1bGpG948qtNAX1dQ6p5vvR+1PbvcBhCKE45G/pdy4/DPiDXlEFFjYNQX+mDiGAzu4psxIdb/O+PDfP+HGFtmEMNTI9mx98uaPoLEuIXSKAXp6zQICM7Cxpq0xhxMzvlPyQ691EX04Nza6eQeeZUuOwtQuPSWLarxL/MEiA4yMjuomraNZq9x4QGMfOeEQFFyACCTPK/mjh5JHUjTkkOl4dqhxuH2wNaU5U5iy+i3yQobznVQbGsH/kuScsrGNU9AYC4cAvr9pYxuVHuvd7Be7XK3q2ipZFphjglfLY6l/nbCv3tIpv3QSiTQcHcp4iYeSP9a5eD0cKHqX/hrpl5KNWwFj4uzMK2A1WkRjcqWdA5jlWPj5aywaLFk/9CxSnh0c83cOcHa/ztwso6rh2STsSeH2HJa3iUkTUd74G7lzFq7GX0T4siKaJhmWX9xh+RjZ5uNRhUQH5eiJZKAr1oc+ZtLeA/S7L9bYdvp6ceSQ3lfi97cyl5e3bygnkqACs730/RwIkQ24nYUAuLdhazr7zWf3x97fkRnWOb4xKEOKEk0Is258mvNvP011v87R0F3oeTLGajv1ZNEE7+6niJaGVjV9Rwrt00iN7tvDtD1c/aL+id5D+HUorsZ8cdcpNViNZAbsaKNqfxTBzAbDRww9D2FFbVUZm9huDZ97DVsh1jrcYeksSPXZ+mnd3mz78bDN5gfu2Q9IDzSJAXrZXM6EWrtnRXMf9euNvfrt8UpGtiQwExp9uD2WhgpF5F+EcXE1S6DaPS6OgMSi76LzttQaRGBz7AtP7J8/zr5YVo7STQi1bt68z9TPl2q7+dW1rDjcPakxwZTI3DBbZCZq/aQerer7hu92QMrhry0i7mw5HzUfetJ7brEFbsLqVdVEjAeaNCDt2gW4jWSqYsolXzeOr/1hgMiryyWtKiQzDhpnrWHwnZ9C6TGh2f2ekuLtl8Jm+dngJKYTEZ2VdeK/uyijZNAr1oVbTWAbny3LIaxvRKpLDKTlKklY155fSNcTN+zUTiKzIBcGkDRoNib7+HmB92NcPrSjm3R0LAedvHhjbrdQjRnCTQi1Zja34lF7y2iJznLvT3Od0eOsWHkVdQTNL6j4lcuIZhkZsJrd5LtSWB95KeYEFFEl/cNZSaMsWqb7ZQ53RjbvSQ08iu8aTFSJEx0XZJoBetxvebDgBQVeck3Gr2/50caSXp50dh37fcagKqwR6eznud3+DlZVX0SA4BayTdEjVLskoY3ilwLfz/fj/kJFyNEM1HbsaKVmNfeS3j+6Ww0VdY7M0Fu4gNDWJw0QxS932Lx2hlfsj5MPj3lF09gx014ZzbPYFP7xwKNCybDDbLdn3i1CKBXrRIk7/cQMakbwL6Pl+Tx+CMaIoK98P3kwle9gpjI3Lotv7vAKzq9wy7hj0PF71CQrtOfJ25n8o6JxFWc8B5Nu6rQIhTiaRuRItUVOXdfs/ucmMxNczAU8KM9J57H1Ss4z4FLPsEgAUR47l5aSpvXR/40NPBDznNe/gszAaZ34hTi/wXL046h8vD/O2FAX1hFiOnZUSTVeitF+9ye+iVHE6f9U+TVLEOj8FMrfLeQNWdRvHvkNsY2jHGX1YY4PKB7egUH7iaplN8GOmxgWvmhWjrJNCLk+6yN5dwy39WUVHjBLyBf+b6/YzqnkhBZR0AvZ76gdMLp5O46zNqdRALR37EjPMXw4NbUDfMwKWC8HgCN/iIDDbTOUHWxwshqRtx0rnc3kJj2SXV9A+JYu3eMgakR5ESZSVvbw6se4BN5nmYtbeG/CPOuxhq7UZUsBkiUwDwaM2uouqA83aIC6VHcgRCnOqOOKNXSlmVUiuVUplKqc1KqacPev0RpZRWSsU16puslMpSSm1XSo1pioGL1qna7iJj0jeU+Db+AIgNC+Kxsd0p9M3eJ0xdzrq95Qz3rGX8yutg+7eYtR1tMMOYv/ONZyg5xdUB9WlW5ZRRWu0I+Kwbh2VwWkYMQpzqjmZGbwdGaa1tSikzsFgp9Z3WerlSKg04D9hbf7BSqicwAegFpABzlVJdtdbuJhi/aGWue2cFAHtKa4gNs+BweVi6q4QJQ9I5UGaDdR/wd+tskkI08bO+B0CnDeWMndcy76mrsQaHMGLzcnYUVNE5oUvAuZMjrYd8nhDiKAK99hbwtvmaZt8f7Wu/AvwR+KrRWy4BPtFa24FspVQWMARYdqIGLVqvzNxyABbuKGJgejSfr8kDIMNqI+6HG6BmG9cB1AAoPgy/mYFjn+SsmH1Yg703Uc1GA0VVdsIbLZtMjwnh7RsGNe/FCNFKHFWOXillBNYAnYE3tNYrlFLjgX1a68yDlrC1A5Y3auf5+sQp6ImZG3l0THf/Zh49kyN4dEw3vlq/D/atxZL5LcMNZrrM/hPBNTnoyFSmu87imoHJ0GkUX/1gwLDPFpCmWbC96JDPWfjHc5rtmoRobY4q0PvSLv2VUlHADKVUX+Bx4PzDHH643Rn0IQcpdQdwB0B6evohbxCtX2FVHR8s38tFfVMY2tFbdiDMaqJ3u0gK5r0O//4/rgCuCAKqYJMng4QJs1k4v4hrzh3oO8sy9pTU0D8t0n/eD287HbtLMoFCHK1jWl6ptS4HFuBNz3QAMpVSOUAqsFYplYR3Bp/W6G2pwP7DnGuq1nqw1npwfHz8bxu9aNHu/mAtAF+uzfP32Z1uYjPfZkLR/wGwxdQTT0g89L6Cl5JfZluVlW6JDUsiV+WUkplbTvekhtUzIzrHMap7YjNdhRCt39Gsuon3zeRRSgUDo4F1WusErXWG1joDb3AfqLU+AMwCJiilLEqpDkAXYGWTXYFoMV6du4M1e8r87dW+n90ewGXn7fc/YNSBdzDM/TMA+sJXeDL2ZQx/zIIr36PGEMruIhud4ht2h9Ialu0uIUlutArxmx1N6iYZmObL0xuA6Vrr2b90sNZ6s1JqOrAFcAH3yIqbti8zt5xX5+5kf3ktg9pH+/sfHdONPdk74K3bubN4u/+/uFcsdzE+42qSs3b6jy2rdrDtQBWnd2yoLnlu9wTmbSvEKoXIhPjNjmbVzQZgwBGOyTioPQWYclwjE63Ks995t/ObvjqPF67s5++/tLMJ4+KHwJ1PkY4gJLUPoaffQtamTnyxJo/eKQ0pmZ2FNrKKbPxlfC9/38F7uQohjp2UQBC/ySOfZVLW6AGl/Io6JpyWxrCOseDxsC5zLfGU0+7r60hy56OT+/FwwjuE3v4t9L2KPu0iWZxVTK+Uhpusf7m4J+2iggNm72kxIZzVVe7hCHE8JNCL3+TzNXn8sPmAvx1kNHDrGR2Id+bB22cyYMY5rLLeDYWbyTenkz32fQwhDSmdmJAgNuRV0KvRjD4pMjggPw9w25kdmSYbgwhxXKTWjThme0qqSYsJZkeB9zm61Tml7Cy0kVq5linFD4CuwmmwYPbYIb4H05OfJaXIQFp0Q9VIu9u7q3d0aJC/r0tiGCM6B+7+JIQ4fhLoxRH9acZGxvVO5owu3nJGOwtsXDUojRXZJVB1AOfit/i7KZPgjxeBduLuMpY/G+7n9pGd6JSSgJ63k635VQH59jDLoTdXO8WHHTKjF0IcPwn04ldV1jn5aMVejEr5A31eWQ2d4sPI2poJU29mWFU+w0yAB5bGXE7Cua+y48tNdExJAKUIs5hYsbuUwRnt/ecd368do7rJWnghmoPk6EWAGocr4Cbr4p3FALy/fI+/L7eslg6WCp4sfQyq8sn0dGRpu1vgsqls7Ps4y3PKSYq0BuzutGx3SUDqxmhQRIYEbvEnhGgaMqMXAXo++QPhVhMb/+KtLm13ubl6cCqFVQ1lhQtLSuia+zgmTzGudkOYYp/EJ7eOAoMiY/MBPlm5l76pUf7jLb5VNGkxslRSiJNBZvSnsGe/3cqqnFJ/u9bhfa5tcKMHnh78NJMZ6/ZRY3dD9kLs/x7D87uvwFSQSamlHbvOfQdMIf49WqNDgli9p4zOCQ259mG+B6CiQhpuvAohmo8E+lNEUZWdpVnFAX1vL9zNjHX7/O195TX0S43EZncFHPfSVf0YVrcQ/f7lWPYtJ0TZISKVZae/yZwcBxHBDb8YhllMVNW5AgJ954QwsqZc0ERXJoQ4Egn0p4hnv93q3/QDvDdZAT5a4d8zhryyWs7vleTNrRduRc//O+MMyxmT/xYPlv8d5XEywzyOj4d9DfevJ75DX96Yv4tuSQ1FyIKDvGmaDnGBm3KbjPKfmhAni+ToTxF2l4dgsxGtNUop3l+255Bjbv7PKq4fms7Awhnot95DeZy8GQSsAA8GcgdN4tvSUbxwRj8wmgkyGah1ugP2Zc2IDeGj20+X2jRCtCAS6E8R32zMByCnpIYOcaEkRVi5alAqmXnlVB3IIjxnDlcZdzPJYyfMPQ2A7dFnE+fKJ9ai+SH1AYwdz6V8326ifKtlwize/3y6NiorrJRieKc4hBAthwT6U0B5jYPuSeGM7Z1E8f4cOuxazMczbdz9u6uJX/8GlrdngHbwohnYAC5lZn3/p5nuPIM/nN2Z2LhQchbsojK3HIXyL5usz8Onx4T8yqcLIU42CfRt0H+WZLM1v9JfRTIzr4ILeiczwLGavl9PAmc5n1uAz59hlG8H4NoO57O9wEb/RBOZnSey0tmRvJ3F/qdZB6ZHcc3U5Vw2IHBXyMfH9ZA0jRAtnAT6Nujpr7cANAT63HLG1X5F5zV/Q6EhoSeVRXlE6Epqw9L4scNjfFjUGVO04qObhqL2lrFz2R6cbg9m303UNN+s3btXfIPbR3ZsxisTQvwWEuhbuWW7Snhn0W7evfk0f9+QDjENBxzYxPA1k+hSswiAr2Nuxnn6wyzcvIdXzw0hR7dn9eoDRIbU8cIVfQGwmAwByy4BUqK8M/tVOWUIIVoXWfPWimzIK2fbgcqAvs/W5DJvWyFOXzXIeiuzS6nb8i166tkMrlkERguei1/nQ+sEHvpsIzUEQ7tBpMRGsr+8ljlbCvw3Wetz7i9e2feQMcy8Z0QTXZ0QoqlIoG/BDg7e4/+5hLGvLgro+3Ktd+a9Zb/3CyC3tAaHy8MIw0ZMn92E8jhZFXUB3J+JYdCNuD3e1MvoHt6CYhFWE/vKazm7W7z/Jmu41Rvw48ItAZ/12oT+xB/UJ4Ro+STQt1CZueV0efy7w75WYmuoO5MWE8zvR3Qgr6wWtObMF34iKG8Z7wa9jEk72N3hOrYNeRYikgFv6iU6xMzVp6UB3uWQ2w5UBayFB1j46DmM7BK4s9Ml/QNvxAohWgfJ0bdQT361KaBdfxP08oHtyC2rJTbMQlahjdzSWtrHBBOxezb8+BLrLVVEqWoA1sVdxJyEiZyVFBjEy2qch3xeQWVdQDs9VpZMCtFWSKBvoTLzKgBYs6eMQe2jKa9xkhhhoW+7SA4UFYNtMW++v4jnRpzFkGW30tG2BoAoX2Vge48reLP2TqrzKrl9ZGf/efumRnLbmYErZWbeM4I+7SIRQrRNEuhbiAMVdSRFWv3tDnGhjOmVxPrccga1j+bLdfuotrsZULWAbvOfBFcl/wgC1rwFQKkOI7//A2ywDuTaPlFY2g2k8I0lZOZVBGzXN+veMw757P5pUYf0CSHaDgn0J0Gtw+0v/gWQU1zN2S8tYOGj5/hTJsU2O1cOascP38+GrImck1/CZYkRxCxfDoA7qT87Sx1013vwdDmPSSUTKMqP4IqBqZDq3cmp/rcCIcSpTQJ9MyutdjDwr3PY/fdx/hru//fTTgB2F9tIjw3BZncxMD2a1LxvuWP3RMBJR4BC0EYL74TcSp/zHmbhzmK6j+2OASh/exlup5szOkudGSFEIFl108RyS2sCnibdVWQDYEdhlb9Pa+iRHMEnK3PBUcPapXO5zj4d66w7MONED7yZGxyTcI55AfWHpcwJG8/SXSUMarRBCEBxld3/BCtAsNnIbWd0aOIrFEK0dDKjb0LVdhdnvjCfL/4w3B+Uc0triA0NwlbXsLlHWY2Dv1/Wm2WL5sBrExhZXeh/7f3w2xg5/Gni67IwD+sPgNlYzK7iaiYMSQ/4PLfWGA0N+7S+fu0AMuJk9YwQpzqZ0Teh5btLAChstHRx6a4SSqodzMrc732tqo4F24voVvQjt2ZNhOpC8nQ87tQhcNlUvg67km0FNro32txjSVYJ32zIJzGi4eZtWbUDiymwuNjonol0TghHCHFqkxl9E8opqeHqwansLvaua/9sdS6fr8nj9jM7YK4rhR8ex561kf+aywn5OhOAul7XcPaaC8m67RIAVn78DbY6F49d0P2Q8zeevZ/RJY6fdxQ1w1UJIVobCfRHYduBSsIsJlKjfzkNYne5GfvqIn58cKS/4uPW/ErG90vh67XZ8M3DJC5fQX91FRNjSzD9OBk8NtKANCNgMPFu6B0MOv2P3BKSH3DuLfmVATP67GfHYXcFlkd48qKeuDyBlSWFEAIkdXNUxr66iFfn7gzoe/nH7bwxP8vf/mlrIdnF1fT48/eA90nWBduLGB5bzc27H4JV7zDSuJGZlieJ+H4iIR4bjvZnMdFxL4x7Ce5awoKoS9lRaAv4Qpk4yvuwU0KjGjNKqUNqwCul/F8wQgjR2BEjg1LKqpRaqZTKVEptVko97et/USm1TSm1QSk1QykV1eg9k5VSWUqp7UqpMU15ASeaw+XB7nL72x6PJi7Mgmp0jNuj+XLtPtbsaSjZ6/Ro4sMtRAabweOmaNM8Uj37MX1wCb0cG9EhcWwP6uU//pPwW1g78j1SzrwehtwOCd1JjQ7mu435/s0+AC4b0I7+aVH+gmNCCHGsjiZ1YwdGaa1tSikzsFgp9R0wB5istXYppZ4HJgOPKaV6AhOAXkAKMFcp1VVr7f6lDzhZymschFpMATPhrk98x6juCbznq+9e7XDRIS6E8tqG+jA/bD7AlYNS/TdbAe77eB1/GtedzRvXwFtnklC4mZkAZZAb1AnjhM948psDfDo8D8ITWbw8goq8CjJiQ/3n+HhlLgCPjOnm7+sYHyalgYUQx+WIM3rtZfM1zb4/Wmv9o9a6fo3gciDV9/MlwCdaa7vWOhvIAoac4HH/Jo1n6gD9n5nD1W8v87cr67zBvL7kL8DOQhsGpahsFOjfX7aHG4a1Z0V2KQDu/E0kUcIZtT/xfPFEKNzc8CEhcXzU8TnWV4TQNTkS+l0DHc8mMtjM+txy2jda916/2XZCeMNqGiGEOF5HldRVShmVUuuBQmCO1nrFQYf8HqivqdsOyG30Wp6v7+Bz3qGUWq2UWl1U1PSrRW58byXdnvg+oK9bYjjRIQ11YKav8g67ss5JrcMNdZVs2V/JOd0TUB43OKrZvL+C1Ohg4sK8OXP7ivcwvj2C5daJ9Fz2CFZdh+59JQ91+obsq3+CiWuYtsXDEzM3kRjRkGcvrXbw3aYDAVUip1zWG4CYRrVphBDieB1VoNdau7XW/fHO2ocopXrXv6aUehxwAR/Wdx3uFIc551St9WCt9eD4+PjDvOXEWnjQ0kOtNdsLqqhoNFP/av1+Hh3Tjau7meDDK+G5NAYtuZOx8aW8Wnwb+rl07Kvep3+693bEhN6hmOc+0XBSk5VpsQ+yYsDzfLm5gnZdB0BwFDUON6XVDhIarXu/7nTvw07JkQ35+Iv6ppD51PkByyaFEOJ4HdMyDa11ObAAGAuglLoJuAj4nW54zj8PSGv0tlRg/3GP9BiszillaVbxIf0RVpN/h6XFvtfNRoXT5YbyXCKDNDek5PNo9q0E7/kJgB5Vy8iYPpokdz7K46Lf+qfo49oKHg+X2qZjcFazNfR0Mq9cBA9v4726s7j9fW/J4CCT95/3j2O9OffGK2e6JXqXSzYO6kaD8t7MFUKIE+hoVt3E16+oUUoFA6OBbUqpscBjwHitdU2jt8wCJiilLEqpDkAXYOWJH3qDxrVkAO76YA3XvbMi4PWuiWFU1rn4aZu3vEBlrYs7R3akV5gN17RL4dXe/Dd/PBEfX0Soq5yi+KEsGvYuNksCACXWdIq7XIVRu+g75xp4JpqhB7y/xPwn6Fr69uoDwdHsKamhqs7FK9f0839+fc69cZooIcLKzikXNM0/iBBCNHI0q26SgWlKKSPeL4bpWuvZSqkswALM8S39W661vktrvVkpNR3Ygjelc09Trrj5YfMBvlybx9s3DPb3FdscAcds3l/JjgIb1w9Nx1ixFxZ/TMUuC1dkRJOw4iGCVTVaGTBp70NIOzpcT2b3R8gqrSNy/Jf0rV7OvNpBBEfEEZ1bxAj7QpTWeIwWPg29jun5CbzgW/740Hld+cecHTjdDV8+F/dL5omZG+l3UN13WfcuhGgORwz0WusNwIDD9Hc+zOH1r00Bphzf0I7Onb40ycH6pUZ6677X7OeFaXPoFB7LzbXvkzFnGnjquA4gG1CwwDOAgnNexmpwc0mfOD5cVMO0GVs4s0sc95wzEKx9iNlSwNb8Sj6MmcQZd3wFwO7CKib/YyFDO8b4P/e+c7vwjzk7OLNLQ7lgi8nItr/K7F0IcXK0mRIIdpcbi8nIZa/OATQ9k8OxLXyD4CVP8T/fTJ3t3r/q2p9DWe5WklUp2X0eYJZ9HF/+sJ8Zdw+HmGgmj3OzPrccu9NDhNWbMw+1mHh5zg5uGZHh/8xw32t/GtfjkPE0vskqhBAnU+sO9I4aRhnWMi58N+7/vAG2vcyoyGVfxmiqCizEb/wGgEodQoSqoS5pMO+G3EZirzNx9nRz7aBkLDY3+oftJIRb6JvqTa1YzUYq61z0TGlY+lhf7rddVEMAD7d6//m6HFQhcta98oCTEKLlaN2Bft7TvBf0lvfZ3X0N3e0OzAXAZbSyuMdT3L+pA5kPD8BpimHtp5m031/JpQNSwBSExWRn5vp9aB24Aia7uJoRnWP97foZev36efBu7AEEbAsI+L8whBCiJWjddwO7nA8pAznQfyJ3OB6k5s6VTHA8gSe2K7WRnfhX2ov8aWc3nr9yAIQnEWY1U2V3saOgiq6+5Y0hQSa09ub0D9YtKSKgvfqJ0VzcL8XfVkrx44Mjm/YahRDiOLXuGX3nc6HzuSQBFQXLmF8UQbv+52O4+lEcNU5efuZHYkM9nNXV+0CWUgqtNQ6Xx1/9sX42/vyVfQNOvfLxc4kNtQT0NZ7N16v/whBCiJaqdc/oD/LF2jwSfGUGIkO8N0rTYkICUisVtU6sB6VaZtw9nO4Hzd4Twq3yhKoQok1o3TP6RkKCjIQEGbl8QENZnf5pUbg8gRt07Ciw+XPr9QakB26y/f/tnW2IFVUch5+frinrC6S5tZW5CooIadqiBaVWWGRUREi+gWFfAj/YC4VLfYuiJMIPBhGkBJVGL1BCZLWEH7K3XdNaV1dTzCTRxEDMMq3ThzkXx+u9u+tmO3OH3wPDnPufcw7z3Jn535kzc+81xpgiUZgz+kUzx/JJ52HGpH4NsmlUPUPK/kf1ihFDuGVSQ3+vnjHGZIbKfz4gC5qbm0NbW9t/7ufgbyfP+Xem43+eRpx93t0YY4qEpPYQQnNP9QozdAOc95+uI5zgjTGmOEM3xhhjKuNEb4wxBceJ3hhjCo4TvTHGFBwnemOMKThO9MYYU3Cc6I0xpuA40RtjTMHJxTdjJf0K/NRDtcuAo/2wOv83RfCwQz4oggMUwyMrh7EhhNE9VcpFou8Nktp681XfvFMEDzvkgyI4QDE88u7goRtjjCk4TvTGGFNwainRv5r1ClwkiuBhh3xQBAcohkeuHWpmjN4YY0zfqKUzemOMMX0g00Qvaa2kI5I6UrGpkr6U9IOkjZJGxHiTpD8kbYvTKzE+PBXbJumopNV5dIjLpsRlO+LyIbXkIGlx2br+I+m6GnMYJOn1GN8pqSXGM3Xog8clktbF+HZJc/LgIWmMpM/je7tD0ooYHynpU0l74vzSVJsWST9K6pJ0R9YeF+ogaVSsf0LSmlQ/me9TAIQQMpuAWcB0oCMV+xaYHcvLgGdiuSldr5s+24FZOXWoA74HpsbXo4CBteRQ1u5aYF8NbodFwIZYrgf2A01ZO/TBYzmwLpYb4voOyNoDaASmx/JwYDcwGVgFrIzxlcALsTwZ2A4MBsYBe7M+LvrgMBS4CXgYWNNNv/2+T4UQsk30UfycBA4c5+y9gzFAZ6V6VfqaAPxcap9Dh3nAG7XsUNbmOeDZWnMAFgIbSWwR4csAAAMJSURBVD54R8WDeGQeHC7Q42VgSapeKzAjLx6pdfgAmAt0AY0x1gh0xXIL0JKqvwm4MU8ePTmk6j1YLdFn6ZDHMfoO4J5Ynk+yY5cYJ+k7SZsl3Vyh7ULg7RDf1Qyp5jARCJI2Sdoq6ckKbfPukOYBYH2FeN4d3gV+Bw4BB4AXQwjHytrmxQGqe2wH7pVUJ2kccD3nb6dMPSQ1AdOAr4HLQwiHAOK8IVa7iiQBljgYY2ky8+ilQ2/IzCGPiX4ZsFxSO8kl018xfgi4JoQwDXgMeCs99h1ZQOXE099Uc6gjubxbHOf3SbqtrG3eHQCQNBM4GULoqNA27w4zgL+BK0mGCh6XNL6sbV4coLrHWpKk2AasBrYAZ8raZuYhaRjwHvBICOF4d1UrxMqTYSYeF+DQGzLbFrn7c/AQwi7gdgBJE4G7YvwUcCqW2yXtJTlDbot1pwJ1IYT2LNY7TTUHkoNycwjhaFz2Ecl4bGt8XQsOJSrutDXisAj4OIRwGjgi6QugGdgX6+bGAbo9Js4Aj5bqSdoC7Em9zsxD0iCSBPlmCOH9GD4sqTGEcEhSI3Akxg9y7pXI1cAvqb4y8bhAh576ynSfyt0ZvaSGOB8APA2Unq4ZLWlgLI8nGe/al2q6kJycgVVzIBl7nCKpXlIdMBvoTDWtBYdSbD6woULTWnA4ANyqhKHADcCuVNPcOEC3x0R9XH8kzQXOhBAy358kCXgN2BlCeCm16ENgaSwvJRn3LsUXSBoch6AmAN+k2vW7Rx8ceiLbfSqLGxupmxPrSYZkTpN8qj8ErCC5ObYbeJ6zN6HuB3aQjEtuBe4u62sfMCnPDrH+kujRAayqUYc5wFdV+sq9AzAMeCduh07giTw49MGjieTm4E7gM5JfMszcg2RYMpA8YbYtTvNIbny3klx1tJK6AQ48RfK0TRdwZ9YefXTYDxwDTsRtNznrbVGa/M1YY4wpOLkbujHGGHNxcaI3xpiC40RvjDEFx4neGGMKjhO9McYUHCd6Y4wpOE70xhhTcJzojTGm4PwLmsdtNLYdWqkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy import signal\n", "\n", "raw_data[\"smooth\"]=signal.savgol_filter(raw_data['Concentration'], 57, 1)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(raw_data[\"convert\"],raw_data[\"Concentration\"], linewidth=.75)\n", "ax.plot(raw_data[\"convert\"],raw_data[\"smooth\"],linewidth=2)\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Afin de pouvoir caractériser la période, nous ramenons les données autour de 0 en retirant aux données la courbe du fit obtenue avec l'utilisation du filtre *savgol*." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(raw_data[\"convert\"],raw_data[\"Concentration\"]-raw_data[\"smooth\"])\n", "ax.set_xlim(\"2018-01-01\",'2020-01-01')\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous rappliquons le même filtre à ces nouvelles données pour avoir un signal plus facile à visualiser." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "raw_data[\"smooth_b\"]=signal.savgol_filter(raw_data[\"Concentration\"]-raw_data[\"smooth\"], 57, 3)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(raw_data[\"convert\"],raw_data[\"smooth_b\"])\n", "plt.axhline(y=0, color='r', linestyle='-')\n", "ax.set_xlim(\"2018-01-01\",'2020-01-01')\n", "ax.set_ylim(-2.5,2.5)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visuellement nous remarquons que la période de l'oscillation est de plus ou moins un an et nous basons la suite de l'analyse sur cette supposition. On peut donc estimer la période plus facilement. Ne connaissant pas de moyen pour déterminer à l'aide du code et d'une fonction la période des données, nous utilisons les étapes suivantes:\n", "- Le signal ressemble à un signal sinusoidal. De ce fait, nous savons que la période correspond au passage des données à la valeur 0 une fois sur deux.\n", "- Nous affichons donc des barres verticales une fois sur deux, là où les données passent par zéro.\n", "- Nous faisons une nouvelle inspection visuelle et remarquons que sur un zoom de deux ans le lieu de données égales à 0 passe aux alentour de juillet de l'année pour les deux années consécutives\n", "- Nous confirmons que la période est proche de un an" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "raw_data_period=[]\n", "raw_data_date=[]\n", "raw_data_value=[]\n", "\n", "for i in range(len(raw_data[\"smooth_b\"])):\n", " if abs(raw_data[\"smooth_b\"][i])<=0.1:\n", " #print(i, raw_data[\"smooth_b\"][i])\n", " #print(i, raw_data[\"convert\"][i])\n", " raw_data_period.append(i)\n", " raw_data_date.append(raw_data[\"convert\"][i])\n", " raw_data_value.append(raw_data[\"smooth_b\"][i])\n", "\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(raw_data[\"convert\"],raw_data[\"smooth_b\"])\n", "plt.axvline(x=raw_data_date[-1], color='r', linestyle='-')\n", "plt.axvline(x=raw_data_date[-2], color='r', linestyle='-')\n", "plt.axhline(y=0, color='r', linestyle='-')\n", "ax.set_xlim(\"2018-01-01\",'2020-01-01')\n", "ax.set_ylim(-2.5,2.5)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Puisque l'indice des données correspond au nombre de semaines écoulées depuis le début des données, une autre méthode consisterait à récolter l'indice des données qui passent par 0. C'est ce qui est fait dans *raw_data_period*. Nous regardons le nombre de semaine moyen entre deux données consécutives passant par 0 et multiplions par 2 pour avoir la période. Cette méthode nous donne une réponse en nombre de semaine proche de la valeur de un an. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[22, 23, 26, 26, 26, 26, 26, 25, 46, 1, 26, 1, 1, 1, 1, 1, 1, 1, 1, 1, 47, 26, 24, 24, 24, 52, 27, 26, 26, 26, 26, 26, 51, 28, 27, 51, 26, 26, 51, 52, 52, 27, 25, 27, 26, 51, 53, 27, 26, 24, 24, 25, 26, 26, 26, 26, 25, 27, 26, 26, 26, 26, 25, 27, 79, 26, 25, 27, 25, 27, 26, 26, 26, 27, 24, 28, 26, 25, 26, 27, 25, 27, 25, 27, 25, 27, 25, 25, 25, 50, 24, 25, 51, 52, 52, 104, 27, 25, 51, 26, 26, 26, 25, 27, 78, 27, 24, 54]\n" ] }, { "data": { "text/plain": [ "57.81481481481482" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "raw_data_period_mean=[]\n", "\n", "for i in range(len(raw_data_period)-1):\n", " raw_data_period_mean.append(raw_data_period[i+1]-raw_data_period[i])\n", " \n", "print(raw_data_period_mean)\n", "2.*np.mean(raw_data_period_mean)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous créons une nouvelle liste de date pour avoir des dates jsuqu'en 2025. Nous définissons la pas de temps à 1 semaine en utilisans la fonction * timedelta*." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1958-03-29 00:00:00\n", "1958-04-05 00:00:00\n", "1958-04-12 00:00:00\n", "1958-04-19 00:00:00\n", "1958-04-26 00:00:00\n", "1958-05-03 00:00:00\n", "1958-05-17 00:00:00\n", "1958-05-24 00:00:00\n", "1958-07-05 00:00:00\n", "1958-07-12 00:00:00\n", "1958-07-19 00:00:00\n", "1958-07-26 00:00:00\n", "1958-08-02 00:00:00\n", "1958-08-09 00:00:00\n", "1958-08-16 00:00:00\n", "1958-08-30 00:00:00\n", "1958-09-06 00:00:00\n", "1958-11-08 00:00:00\n", "1958-11-15 00:00:00\n", "1958-11-22 00:00:00\n", "1958-11-29 00:00:00\n", "1958-12-06 00:00:00\n", "1958-12-13 00:00:00\n", "1958-12-20 00:00:00\n", "1958-12-27 00:00:00\n", "1959-01-03 00:00:00\n", "1959-01-10 00:00:00\n", "1959-01-17 00:00:00\n", "1959-01-24 00:00:00\n", "1959-01-31 00:00:00\n", "1959-02-14 00:00:00\n", "1959-02-21 00:00:00\n", "1959-02-28 00:00:00\n", "1959-03-07 00:00:00\n", "1959-03-21 00:00:00\n", "1959-03-28 00:00:00\n", "1959-04-04 00:00:00\n", "1959-04-11 00:00:00\n", "1959-04-18 00:00:00\n", "1959-04-25 00:00:00\n", "1959-05-02 00:00:00\n", "1959-05-09 00:00:00\n", "1959-05-16 00:00:00\n", "1959-05-23 00:00:00\n", "1959-06-06 00:00:00\n", "1959-06-13 00:00:00\n", "1959-06-20 00:00:00\n", "1959-06-27 00:00:00\n", "1959-07-04 00:00:00\n", "1959-07-11 00:00:00\n", "1959-07-18 00:00:00\n", "1959-07-25 00:00:00\n", "1959-08-01 00:00:00\n", "1959-08-08 00:00:00\n", "1959-08-22 00:00:00\n", "1959-08-29 00:00:00\n", "1959-09-05 00:00:00\n", "1959-09-12 00:00:00\n", "1959-09-19 00:00:00\n", "1959-09-26 00:00:00\n", "1959-10-03 00:00:00\n", "1959-10-10 00:00:00\n", "1959-10-17 00:00:00\n", "1959-10-24 00:00:00\n", "1959-10-31 00:00:00\n", "1959-11-07 00:00:00\n", "1959-11-14 00:00:00\n", "1959-11-21 00:00:00\n", "1959-11-28 00:00:00\n", "1959-12-05 00:00:00\n", "1959-12-12 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"date_extra=[]\n", "concentration=[]\n", "\n", "for i in range(len(raw_data[\"Concentration\"])):\n", " concentration.append(raw_data[\"Concentration\"][i])\n", " \n", "for i in range(len(raw_data[\"convert\"])):\n", " date_extra.append(raw_data[\"convert\"][i])\n", " #print(date_extra[i])\n", " \n", "for i in range(260):\n", " date_convert.append(raw_data[\"convert\"][len(raw_data[\"convert\"])-1]+delta*(i+1))\n", " #print(date_extra[i])\n", "\n", "\n", "for i in range(len(date_convert)):\n", " date_extra.append(date_convert[i])\n", " \n", "for i in range(len(date_extra)):\n", " print(date_extra[i])" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "object arrays are not supported", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;31m#xnew = np.arange(date_extra[0], 2*delta+date_extra[-1], delta)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 14\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 15\u001b[0;31m \u001b[0mynew\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdate_tampon\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 16\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 17\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdate_tampon\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/opt/conda/lib/python3.6/site-packages/scipy/interpolate/polyint.py\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 76\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 77\u001b[0m \"\"\"\n\u001b[0;32m---> 78\u001b[0;31m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx_shape\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_prepare_x\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 79\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_evaluate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 80\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_finish_y\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx_shape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/opt/conda/lib/python3.6/site-packages/scipy/interpolate/polyint.py\u001b[0m in \u001b[0;36m_prepare_x\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 88\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_prepare_x\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 89\u001b[0m \u001b[0;34m\"\"\"Reshape input x array to 1-D\"\"\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 90\u001b[0;31m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_asarray_validated\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcheck_finite\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mas_inexact\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 91\u001b[0m \u001b[0mx_shape\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 92\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mravel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx_shape\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/opt/conda/lib/python3.6/site-packages/scipy/_lib/_util.py\u001b[0m in \u001b[0;36m_asarray_validated\u001b[0;34m(a, check_finite, sparse_ok, objects_ok, mask_ok, as_inexact)\u001b[0m\n\u001b[1;32m 239\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mobjects_ok\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 240\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0ma\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdtype\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdtype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'O'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 241\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'object arrays are not supported'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 242\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mas_inexact\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 243\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0missubdtype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdtype\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minexact\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: object arrays are not supported" ] } ], "source": [ "from scipy import interpolate\n", "\n", "date_tampon=[]\n", "for i in range(len(raw_data[\"convert\"])):\n", " date_tampon.append(raw_data[\"convert\"][i])\n", " \n", " \n", "y=signal.savgol_filter(raw_data['Concentration'], 57, 1)\n", "\n", "f = interpolate.interp1d(date_tampon, y) \n", "#xnew=[]\n", "\n", "#xnew = np.arange(date_extra[0], 2*delta+date_extra[-1], delta) \n", "\n", "ynew = f(date_tampon)\n", "\n", "plt.plot(date_tampon, y)\n", "#plt.plot(date_extra, ynew)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_code_all_hidden": false, "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 }