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2021-02-04-Time_series_analysis_forecasting-Part1.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "2021-02-04-Time_series_analysis_forecasting-Part1.ipynb",
"provenance": [],
"authorship_tag": "ABX9TyPm3DRAz4g1PufL92mXZiCb",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/atilapaes/9843948c82f7f2ea2b7501b344ded44b/2021-02-04-time_series_analysis_forecasting-part1.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "H11Pqcx59TJt"
},
"source": [
"#Course time series analysis and forecasting\n",
"---\n",
"In this course we are going to analyse two datasets related to a couple of news to be published by a newspaper. The datasets are time series related to 1) CO2 concentration in the atmosphere, 2) Number of births in a certain region."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"id": "MI5gDtuX4U_a",
"outputId": "32d3e4d1-3bb5-45fe-b0db-1a466444a230"
},
"source": [
"import pandas as pd\n",
"df_co2=pd.read_csv('co2.csv',delimiter='\\t')\n",
"df_co2=df_co2.rename(columns={'data':'date','media':'avg'})\n",
"df_co2.head()"
],
"execution_count": 239,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>date</th>\n",
" <th>avg</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1980.042</td>\n",
" <td>338.45</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1980.125</td>\n",
" <td>339.15</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1980.208</td>\n",
" <td>339.48</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1980.292</td>\n",
" <td>339.87</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1980.375</td>\n",
" <td>340.30</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" date avg\n",
"0 1980.042 338.45\n",
"1 1980.125 339.15\n",
"2 1980.208 339.48\n",
"3 1980.292 339.87\n",
"4 1980.375 340.30"
]
},
"metadata": {
"tags": []
},
"execution_count": 239
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "P7YKOM4B6Vqo"
},
"source": [
"import matplotlib.pyplot as plt"
],
"execution_count": 240,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "XX0UXuXE6q0H",
"outputId": "1877fc40-6f7f-4e57-8645-02522e69a6aa"
},
"source": [
"plt.plot(df_co2['date'],df_co2['avg'])\n",
"plt.ylabel('Avg')\n",
"plt.xlabel('Date')"
],
"execution_count": 241,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'Date')"
]
},
"metadata": {
"tags": []
},
"execution_count": 241
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"id": "JKfc1aZd6y1-",
"outputId": "e05ef17e-5acd-47d4-c33b-2ce3ee2a1dd3"
},
"source": [
"df_birth=pd.read_csv('nascimentos.csv')\n",
"df_birth=df_birth.rename(columns={'data':'date','n_nasc':'n_birth'})\n",
"df_birth['date']=pd.to_datetime(df_birth['date'])\n",
"df_birth.head()"
],
"execution_count": 242,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>date</th>\n",
" <th>n_birth</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1959-01-01</td>\n",
" <td>35</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1959-01-02</td>\n",
" <td>32</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1959-01-03</td>\n",
" <td>30</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1959-01-04</td>\n",
" <td>31</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1959-01-05</td>\n",
" <td>44</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" date n_birth\n",
"0 1959-01-01 35\n",
"1 1959-01-02 32\n",
"2 1959-01-03 30\n",
"3 1959-01-04 31\n",
"4 1959-01-05 44"
]
},
"metadata": {
"tags": []
},
"execution_count": 242
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "NH0VukaG7kqa",
"outputId": "b6ac12d5-10d2-4327-8771-cb9278063acf"
},
"source": [
"plt.plot(df_birth['date'],df_birth['n_birth'],)"
],
"execution_count": 243,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fda278560b8>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 243
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JLczGaVO8nSR"
},
"source": [
"from pandas.plotting import register_matplotlib_converters\n",
"register_matplotlib_converters()"
],
"execution_count": 244,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "QYvZ4utS9A06",
"outputId": "7308076c-2f1d-4a8d-9cb1-b73d095fe938"
},
"source": [
"plt.plot(df_birth['date'],df_birth['n_birth'])\n",
"plt.ylabel('N_birth')\n",
"plt.xlabel('Date')"
],
"execution_count": 245,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'Date')"
]
},
"metadata": {
"tags": []
},
"execution_count": 245
},
{
"output_type": "display_data",
"data": {
"image/png": 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B0MYgaAxiq2nCc5AR3v3E0LBzhzR+j7aOJHodLWcaGS0YMuC5ys9xx+Fb8ezS08vdlYHC69Ir6Xj7GO44fAv21l9NbzccyHxk7GoTqsnc85C9kpahHgO/KL5Y2YPbDt2IhltPXNgJMZT1N+RnkqoxsAV5cLmSelncBxlop8K/7b8e/7zvfyl/o8/HWYY0MlowZEAtzEC62iKjuy29SI2G9G9iu2GbBqcxqLxTVjKSfOMjKmlYcQzDozaSbAz8PdLcWo7vJL5HA5GNgX/vjpSXK83GMNiUGL27vg4zoLAT2HzroXJev9CCQYJysIezfTXSId0sMFknmFpjiM7pREWtBCSnER+RxjCUJHpJcQy8vcEN/6a5OhPOKyl61/KGIs0rqZ+gNBn9aB/D1hjS4IbPa1SJLnlowSBB3untq7828Lw8vu/jhcpz7MXzqLk1vFJ7eaDXS+tHtzYGoLOAZBoDeI0hOkelcSy05/F6fV/mviw3EhebUBYOK8J7kBHBcXSOfGZeOnAThZ9B4nEMvu/H3rsHN1HADZIyo31YaB/H/vreLs9Vv+e218aLlT2Z2zneOoYDjf14rfYKqk5yVlmKvfVXsdAO4j1kTWsU0IJBgrybveXgD/GLpWfCT4OZjPsar+KuIz/Co8ceiv1268EbcPuhm5VCY9DolkrqlAYiapcan0nsOwBwvPi9/dO+/w83H+y+pvByISnwadi5dUZFJQmkkiJDqpuiMRBBYwiOl3e9NskFvydFVbPnOwAqKWzjYPMA7jxye5fnqsf8r2q/xJ1HbmeLdyf8y/5rcdOBH+C2QzfipgM/6Hj8rQdvwN5GYMtrK+bLsNFVPQbXdXH06FG4brR4bty4ceCdWk5kcaHrF+2QM1x04oOKeih4vg9zuDVf4KO77KpZVXLaZpLxORB6uS56euIhKWCPSL8PGkOlkrJoDFw1tETjM29jCI+Xd715I4+224LnezBD7ULVl0EW6gECr6pukBSvQudwL7v5RWehq+OXQ2PILBi+//3v47vf/S7Wrl0Lw4gUjdtuu20oHVsujIL/NsOskqprRe6OLgB7qP3omkpKmCSqdoFk47PjuYgvBSsLyakSRlSoZxhUEtdkUq4kj9NYEt1Vea+k8Pi2ZEDNmwVU3CW4vgtbMc79BMHbCzzBvhUYzXltNg1JJVxd9O4x1G3gmvzsRoHMguH666/Hrl27sGbNmmH2Z9mRLhi6G6R766+gaJYxbk3gl9XncW75fOxrvIaFUCtIFQwj8F0OJncPgqHDOZHxmYtj4M5xfGfkgqHltfDL6h6cW74g86KQhk4pMV5v7MOh5gGsz5/S97V4JEZc9wjf97Gn8izOKJ0VMzL/fPG/8ObxC5RUUprxWRXHoNIYgvtRzzd+rL1UfQHr8hswbk30cosx7ceDB7PDCDzUPAjPdzlX1+A+Xqu9gpJVZnO3F8rXUGhIaTihNYYNGzZgfHx8mH05ISAkfpMWwG7V91sP3ggAOKd8HvZUnsWUtQa3HryB/a4ywhJCAH80mosfTpPMx2c2PsdtDLygc73B3Fs3O7/7jt6FF6t7MG3PYkOh/8U66VnQhXtv41Xsff1VfPH0r/V9LeV1B6SRVNwl7D76YwAQFt4nFx/HK7WXQUCwoRDRxXQh93wvUSsSIp/DcRzTGIwCgORx7nG05a7DtyFvFPBHp32x6/ujbfBwfEdJX/G44fV/BgC8Y+risD9BP287FMzpi8K04r0Ihk7XlteZ5fBK6igYrr32WgDAli1b8OlPfxrve9/7kMtF/PBVV12Vev7WrVtRKpVgGAZM08RNN92E+fl5fPWrX8X+/fuxadMmfOc738Hk5GSftzIY8ANVHlC97tFqbpBLpuWL/KZqUA07cpZHt1QSTyOktou4V1KWNM7dIsvOj4LabgahLQTXVlNJw3ZrHHRKDOoI4HK7YwBouPXgr1cHENcYXLjJGgMhUeWzsL8yt880hoTnFWlkwXxseo3sNyW3JS20juew63dCZGx3xbWBaQzdb3I6CYaYIDsRqaRqNQju2rhxIzZu3Ih2u412u7uOXnfddZienmafd+zYgUsuuQTbt2/Hjh07sGPHDlx99dVddn04EF/+YCY575uTdC352GEFSPHg0ytkWTCzeorQ5yYYn4cQ4Ob7HpBRLW+FdYatLtX4xGsnxHQMmwIctPE50gBcJG19VHWbPT+ZhjQU2VXbviwY0jUGOtY6BVNmgbwR6WaXT891fVcoSdpPVDIVDMmuupJrrN8eeVBoR8HwpS99CQBwxx134MorrxR+u+OOO3q66D333IPvf//7AIBt27bh05/+9AkjGDwEA+Dl6i9xVvkc6ddsL2e+fRyHmwc7HqekkhDPShk7z2vjmaWncOHE2wUDb/fww2u5eGbxSVww/lZYRlq5xWwGQWZj4KkkRfrlftFNO3THOqg045GHVn90YxbQ8XR2+VzOxtCfADrSPIQlZwllK6CHXXhQdT141/EYFA8pXkkk7pUkawyFUDDwAXCv1F7GmDmG9flT2HMciGDog5rhKS0+80FfNoZQy02aR6pxPYjn0A0y2xh27NgREwyq71T47Gc/C0IIPvGJT+ATn/gE5ubmsG7dOgDA7Ows5ubmOrZhmgRTU8Ws3ZXONTKfO1a0cM+hH+G1yms4feZU4bdc3srUzhP7H8HjRx9nn23bAupAsSS6aHrwYu0Zew3AA0rlHKaK0W/8Pdx/4D48cuxBTJUm8Na1b810XyrQgfmK+wIeOfYAjJyP957yvsTji6GLaaGQ/hzsarAo5PImOy5XiYYaIUg8v5t3PDFRQMEqZDq2/UqwMJXH88Jz7RXm0bCICnyhz+QAAG7d6XXM8vjZ/kfw06OP452b3w6D1oZPeYZZ8P88+U8AgD84O6CC83kTxbFofJpmcH/5goVSOaJdiBWMmbGiBThqr7nx8himS0HNZ7sQjFtL8hKdLI8D80CxnMNUKbiP2391MwDgG2/9JrAPgAtYuWhzMTk51hUVSOeMOWcA9ej7sbKVeQzk8pGG6eYiOov2Kz9mdv0eclYwf3i7C99Gw4k2e2tyazCZm0TOsmFPDddLkUdHwXD//ffjgQcewKFDh/Ctb32LfV+pVGCandXyf/3Xf8X69esxNzeHq666CmeccYbwe8BHdn7Zrutjfr7W8TgVpqaKmc9dqNSw1AxUxmOLYsRzs9nO1E610RRUZMcJ/r2wVBWOczxFe+FmYWGpikIr+o2/h6Va8He+uoh5q7dnAkQ7qcVqEIm5UF1Kvb+lSjAxavVm6nG1RkDbNBotdly9Ga0Mjucmnt/NOz6+UMGYmW3nTHdcC4s1jLV6f2YUrZBO9aR7cVyRWuh1zPKoNhpwfAfz8zXWvud5A2l7YTEYk9V6AxWOx3fc4LnW6y0sIrpOoxW826VKHc2Qnov1t9LEglOHAYONlYWqGO3rNYPFb2GpimJbvI/5+RpzUKjUoxX94LE5jJnZF2E6Z1oS9T2/WEExZQzwGkaDG7cHFg4DAHJGHvVwjC9Va5g3u3wPnhH0i3t+/Lusu9G/1+VOwX+fvRK+1/tYmp3t3mmoo2BYv349zj//fOzevRvnnXce+75UKuHrX/96xwusX78eADAzM4PLLrsMTz/9NGZmZnD48GGsW7cOhw8fFuwPyw3Xd5kaLKtvWUkCP8GVL54rJsXGkEIlUY6yXxuITAV0pmayeSWxfDq8myCffnlAtpteaKFBGb6TMnYOpb5F+Dx5Z4HB0XH0XXlIGuF+ApWU9Cyp4dkgRmR89lswicnGPDX+JtoYfEpzRnOm6lS6EgwU8jhRRd7z4O0hvJCggWkWsfqKY+g0f/n+LldesY6C4ZxzzsFZZ52Fhx56CB/96Ee7arxWq8HzPJTLZdRqNTz88MP44z/+Y2zduhU7d+7E9u3bsXPnTlx66aU938Cg4fkuKzAT5w+zTUY3NmGC9mTBoHZXpTaG5AFhZDimE1RceKdFM2stADppBP93wbOl90WtX++mgRm+2bOQhOsQBIPLBG2Un6ifOAYxCj3y/lGPCdFzjS6qgbtqchwDEBiheRuDTXJw/UADSPNK4j2k+DlScStYi3UZ7xJ4YeF5NGpubJx04ut5ewjfPyoYHK/N1gaVjeH1xj7U3RrOLJ3NvjMQCUkqGJLsiEJA4TIVuMpkYzBNEwcOHECr1RJcVTthbm4OX/xi4Hvsui4+9KEP4T3veQ8uuOACfOUrX8ENN9yAjRs34jvf+U5vvR8QfElCUwNwbGeRcS4mpWLOEqiSxV1VVU+3W6gWlo45kDKWW1QtXoLGkHJ+Jw8pVXqGbjAor6EoIlYyPg8hIlmVn6gfravGURWREVXUcukb8H0xnxbTGHxRYzCJxRZJJhiIwcUxtJAzcnjPzFY8u/RMFP2PuNtn1amy++MXcepCmxU/fPnfAQCn5DcJ33cyGPOCgTdU02Sabb/NPbf45uzmA0HOLz6GxSQWvFATYfM3wfNQ9AI7QTUGis2bN+OTn/wktm7diiJnuEmLY9iyZQtuvfXW2Pdr1qzBdddd12VXRwPXd9nCJC/kWSd9fPEJ28uUDItGPnfWGPpZ5JSCoVPgWkYqiU4WwUVVij5Nuwbv5prWx6z3LwQtDiyGQoyI7bZP3cDlg8oGkBKj6vLeNZQacoUW6eIU0xi44/kFzOIEg0GoYDA5KqkJ28jhrPI5OKt8DuZaR8LrxAPgqu4SpzFE38txQGngefp+NAZHoLKqYXs+WmF/s3olWcRE26f9UcfAqPrrjsBtXYXMguHUU0/FqaeeCt/3WWzDaoEQles7TKJ3m3CLtdeHxmBkqPNqDMDGoNIOOrWXtdwiz4mr2k6jkoJrJLvgijUDst0/Hxw1aHdVuQ/DcFeNbDZR7ADNjNtLwF6FS/vsMEpEtDEwOhCiJuEmaAwWsUBNqVTj5qmkttdGjkRsA3XZjOIBorlRcSqRYOA2U93Mx0Ocu7hsj+kkGHgbAx9cxm/Wml49bCvbwk01pKAddToVihVDJQFRPMPqhDgh6I5c9nfOOuWTEqu1UwbkkwuP49Sx09luOS2OoZMqmgXijpMovosj2kWmD1a2wxW0BMn4nLCe+b6f+Jvcx6wG2IYbCQY+YOmx4w/hbZPvRMEcy9SO2A/15B5GOmzBDiBpXgQEP5t/DG8onomZ3NpM7VXdSDDQnbrcNhUAjmR7EIzPksZAQV9fQCVRG0MTRbPEjpENsKLGUGFjjd+Rt7sQDDSOqGSWY8K7G40hKeaBemRl1Rj4/EidKNkVQSVdc801+MY3voEvfOELyt///u//fuCdGjU8yRhHF+f4QOyNSmIagyK03Quv98ixB9CcbCIbldR/2gw1ldSpvaxeSWE7CcbntPM7LfYxAZMB/G6U9u2l6gt4cuGnaHot/ObayzK1o+pnJ6+kXnf1Yptc1TTBVuPD8dr4yfGH0PAa+I3p92Zqj+fq6e5YjmSOUmU4wnjmbQyepDFQiF5JQd9bXhtTNqcxSA4U/DtquHX2nvlFvJXgHqvC8faxoC+IvyO3k1eSJBgICBuzBWMMDa/ONhud6lar3r0qnQp/LD/G3zOzPI45HQXDRz7yEQDAH/7hHw69M8sFeadEB62suvarMah2Ko7fjnZP8DIZn1k0Zl9UUvzczllT6XWz2RjkOs/UM8NL0Rg6PWUvQdiknxOPuqYLUa9G3EQqSepTJ5tJFvDPU3QB9tEK7yNLVTAKfoFlGgNkjYE3riZRSdH3fP6fyCvJZO8rsDHkY8dTwcHvzB2/rfRK6iZiuRpGKTu+g5zsrtpRY4iej+O1kTfyaIR0ZMksoeHVmUBN0xj4XF4qeoifH/yx9Pcr1/0W1uaze2ENEh0Fw/nnnw8AeOc734lWq4WXX34ZhBCcfvrpXXkonciQ0w0zjSE2ELMtREk7bzlfDBBOTCMSBnTXkF4wyOt4TOc+xmmejrv1jNlVmY1BMhSbxExN1xycm11jyCoYRQElUkDdpkCW+yH3If7Z7TNtichJy1QSXcR4eqgTWty4FjQG7hjeHVP1TpiAD8Hfo+CVRBd+r4UcsbnjRZdN3pbA00q9agyV8Hk4vtO98Vl4Pm3kjQITDEWzhLn2Ua6t5DnIZ3EVXbcjapCCzxSaHgUAACAASURBVPtF30S/46YfZL7yfffdh8suuwzXXHMN/uzP/gyXX3457r///mH2bWSIuatSG4OsMWQ0LMbsA+GGUVVwo+23OeNiJJTSvFv4/C29QrU7pBPo6cUnsbf+iuIcT/ibBHr/cnH5yGgefd9wG7jv6N3CVbL2Oyufr9IYXCYY0qeA53t4YO6e2I48yUNL/vzA3O7U8o8vVvbg+covYt/7vo9Hjz2IY625SGPwXfi+x2xMPjw2RitdaAxthcYgG58dRvGok+vJNglewBLCCYYwPbfjO8jxGgPLCRYveN/yuR17+HvBKDBPIAD46fxPcKh5QHl/vu8zD6JAMHRpfJY0Btuw2bwsWiXh2DSNgRd2SVXw2HeCJhh8T7IvzwNHZuPzX/7lX+L666/HaaedBgB47bXXsH37drz3vdl4zRMZ/ALT9JoswC1OJfWmMVAiQWU8a7gN2OFOitob6L87td8PlaTKmEkX8gfndgNArJYAMz5nDXCTFnG6CPPfH2zux7NL/xVdI6PWwve7E1R2CSpUO1XTeq3+Cp5ZfApLzhI+uH4bd201TyyPkecqP8ex9hw+tvH/ULZPaxC/qfxm4fuqW8ETC/+JX1afZ/y9F3oIBT7xQYAZHaNVt5LZnsEvsAKVJOxqoyRxqncib37450j/bYZeSXQh5hM0msQCAYlKZIZ/LWIJ/aP2gII5JizYjx9/FE2vqSyE1PDq8OCiZJVQdaox214ng7GssRgwYBu5mAE9aCtZY+CvI2it8GLfiUKCblqGXNs3BZlFUqlUYkIBCGIUSqVSyhkrB/ywrzhLkcYgUT+ZqYvYYAkFjYJKqroVzuuEFwzJAy7iKPvxWIgvAp3jGLJRTp6kgQTfcXwr9xzlidUxyE6ip7LAS1HjOxdNodeQNYP4s0iugdw9+F0tPz4CwRDx1i2O685as0CwMQhUkkoAqCOiqZCiEDUvMY6BLpCmYKAmyBt51meqMYyZRWEDFWkMY+xefd+PUVk8qPa0Jr9GaDtqM91WwR/vwQMhBnO17UYw8O/Q9z2cP34hzi6dq9QYVGnpT2iN4c477wQQ2Bo+97nP4corrwQhBLt27cIFF1ww9A6OAvxCVXUrKJhBxk6Z+slOXYgTKdIY4gOy6iwxN8NgEGYwPg/AxiDGbmTTQLJG3UZUkniuKXGowbHyPWQ3Pmel9mQjeNBONiqJ3rNsQFYZnxPrEyQIn7TnzXbZxGILFX1WkeYlaqHB2O3setv2W8zTJsldlSJITxHvp+d7TLPm+xT8O0qJ0fZb3L2IzyFvjDHu3uEEA7+Bou+uYI6xlBRiDYk4qL1lOj+NfdV9sXnXOY5BPN4AgW3kABcoSrma0toSBAN8Vgs7Egzq2i9ZtdlhoqNguPfee9m/165di8cfD9JJT09Po9nMbgw6kUEnhEksVJ0Kpu0ZAPEBkjU4Kr6TT3J/BZ5a/BmOtA6H7UfnpUU8slz1HdzuGm4DD87txntmtiJvFvDY8YexIb8RpxVPlyiZSGNIW2zTjM+HmgfwYuV5jFvjWHTmw+MkjYF01hg6aQGqwvRJ2LP0LNp+C0WzLJz/5MJP8cvq8wA6Tz56pzHBgDiVlNSfJK2EL/wig44Vk1jc4hnuvDnNi6c7K04FM7nZWFsvVp7HM4tP4s3jF+Cc8fPQ8looGGOoe7XIuwaijYFCxdED4Zjh7stA3CuJEAOe57F3zGsMAFAwC2iGbp908R4zijjGGXfZsUaBPRO68UjaGFWZxhAk5+TfCwHpOG+oJxKNVSDEQM4INIYSN5aA4Dk8tfBTTFiTOKN0ltiO4CbtwwCBASMaOwljmWkMy0gldRQMf/EXf5GpoX/4h3/A5z//+b47tBygL2rcGsd8+zga4YCQbQy9UBc8ZCppzChiyVnEnsqz7Dx5R6tsn2kM6QP8UPMAXqg+h3PG34z1+Y346fxPAAS2A7Xx2U9tMy0lxg2v/4uin6IHjaHw0IhTSam3JNotOmgu9xzdBQC4fPZDUZ98D48ci5wmetUYGCWl6M9pY6ej5tZwpHUIABLLj6Z5EtGxZxGLCW660FiGBbjUK0nUGFR4qfYCDjT3I2fkcM74eWh7LRTMYiAYeI1B8exd30mkkoigMUT/5uMYXKQIBqPA8jY5fhsGTOSMnDLCecwcY5XMOpXVnGsfhUVsTOWmYr/ljHwmKilvFCLBAMKopJJVEhLiOb6Dh8PxJNvkXEFjCJ4X4fJHyfYpisjGsAK8kjph165dg2pq5KAvpWwGectpsqx4rqSs7pHigE3yY5dTCAe+5HE1M9a+IsGYCnSCtb02jjQPCX1RcfU+ZyhUIaKSMhrhpcHOx2tQxARDJ40hwZNDBs+ji1qGTPOl78rYPZAMVFLY9qljb8Dbpy5i3ydpDGmxBy2mMZhsh0wXqhyhmUl9wQ6W1F4kWIJ32/JbrIIa1YpTbQxKjUFyV1VoDNT4HNkYZCqpINgYbMOGTWylZl0wxsLjWkK2WRUONw9iXX49cmbcnT5vFDqm1nA8h12P3g/VGHJGHnkzKg6VamPwVFQSgSrATeVSvZw2hoFdedQ1SQcJOvBpmcOKs6g8LjOVlPE42VgYRJOG7pQpC6QqKlQFumi0fYfljpmwgl2Uikry4Ke2GWVNzeoNJLmrUjfLNI2howE83h8VDoeCUD5O7nvWSOtuqCRCDJgC564WDJUUjaEdumxahsUWQCYYwkXKR0Al5UgOY8ZYYnsuJxhoUfux0BZBF+GkegxpgiHJ+CxmV/USbQwFM4oPaHtt2MQK7zf+XmmN6JYXCQZV2hjXd3GkeRjr8xtgkXjFs4KR7ygY2n6b2RnpfdjhM7fDZx1dL6ONIRz/QdBfqPFzgk21wTA6bFqGiYEJhuXkw7rFUws/xdOLT7LPsmBIooyyRsnKu/2kZxOjJ7iUB88sPolfLD0j/P7T4z/BM4tPxurhur6LXYdvw9EwYyUFnQCO12a5YwwS1xj4uIMsGkPWiGMxuypnY0BcKLHjughwu+vI7UwTkkHvN28UEt0Cg+slv9Mn5v8Tzy39HIDK+BycV3fr+Mmxh+D6Ln506BYAYAsAhbxTrrk13PT6D/Cz+ccAILaAPbv4NH5y/OHwXIsthK2YYAgC3Gwjh5JVZhqD7/u458gu7K/vBSAKBioIoh14ZNhWCYCaW8Ujxx6IfS+7tyqNz8SEBzeRSgp2781QeLRhGbZyMTeJye655bVSjc9zrSPw4GJd/hTYivrlebPANkxHmofwo0O3xDYnTkglURAENgYCAotYzMBvEatjgBsFdSwxCIHK3Vzl3UZWA5W0kjSGh4/dz3z1gajvvPqoQmYbQ8bjPsD5xdPz+Ml579E7hd8fm38YD8ztjtkYjreP4aXqC7jr8O3C8XQhcfw2M3TSHC8ilRS5l6baGBSBazLskIu1iCVpJX4scRoQN7JnTeRHj91bf1V5HL3fnJGTivuI7ae9qz2VZ7Gv8RoAlY0haudnC49hrnWEBVwFC0CyxnCsdRQHmvsxaU2GfRL7cN/cXSxtNG8cjzSGqMhN22sjZ+RQMsdZOm1qt7r7yI8AiIXr6WZB9l6ScyXxULnBeqHLKLtHKNxVGZWUbGOg7be8FnJGHrYRFwwGTNbfultLNT5Tm8W4NQ6La+vM4ll4++RFmM2tR8trwfd93HXkR/hV7ZexAMR2aHyOjOgEbyq/GReveTcIIRgzAgrYJrlUypfOpcj9lIBwGWeToviZx9xq0BiuuOKKQTU1ctDFwiLptvjMAVUZjiMgmM2vw69PXcK172aioWQbA52UDWkC091h22+zSdz0GmHxlfhA7EQl+exvch9d38Wbxy/AbG69SCXBi4zPCsN3dFz2OAYgORUz3ckF9JzaLRBIF3L8s5C1Prkf/KJnwBAEgynt/Ggf/tv0e/GOqYsTYwUAkapoyYIBHqtzULLKzH+fCqg1oXcd0xg8hzlA8FRJ0Ce3w5MXkaoxIDI+p9oYwsW+6TXQcBsoGAUW7MnDJAbKoTdQxa1w1KfKjTYUQjAFjWHSXoOLp9+FvJGHH47zpOh3qr3Q/hogWJffgLdN/TqASKjKtSpk8Jlo6XPhy50mxjFQh4dl1Bg6eiV997vfTfyNEMIqtCVlXz2R4flBNC4TDArVk0d243PnxYcalvjJ4iK5jq7Yj9AOES4odADy6aWByAuq7UUVpzx4gXeHyivJ91Nd+bKkxAjSehgghEiCwWcLpKAxdC0YxGsnFW/hk73JWobY35RYAu5ZJFFJqnYJkagkySuJakkGMbn0Fupke7zLNN25U1ol0BgCG0PZLKPh1eFy9qSpXOiumUIlUaTVfFbB8z14RK0xCCkx4DEhHbMxhBpDw22g4TUwaU8pqSSDmCiFNG/VWWKalkpjiGI9TKEt+mypraDtt5S7fTqfbGLDJBYc34kZgcc4gZYGR9YYCIHhR3PAVWzO+H8vZxxDxysXi8XY/4QQ3Hjjjfje9743ij4ODAca+7Hr8G3sM1XX6STvrDGIE+dQ8yB+uP+fmctf3a3hB/uvZyo/hWqxozysUMAjwTMk3o9oEDm+w7ynZC8Nugg4XD4mIJiIKp7fRwevpIwpMQwSqMyyVmIgg8bQKchOunZSjn4xI2myjSFLkBmQbHyWrwcEO0zZ+Pz80i/w48P/EV6TUisGV/9XTUnwwqnpBuOK8t+e74YUTKAxAEGVMWpfmW8fw7/tv57Rak4KldT0mnjo2H3qB6GAXKiHLriCCyvM0Ngdj3zm76Ph1dH0GiiYBSWVRG0MNsmFtRrUnns/OrQTe8K8UyYxhY0eFVairSK+c+cDC+m7kbVFGsuQNFfpM6DvLnJ5NpgW4MvjEh721l/FzQf+jfXnhI5j4NNtVyoVXH/99bjxxhvxgQ98YMWl4n69sQ8vVV9gn6tuBSWrLLw43kdZhvz9Q3O7cbh1EEdah7CxsBkvVV9gJQt5qAYQHTz8Lkp2AUyCmB+/nWgX4N1VXd8LjWUOml5dEHIumyDpcQyUV+8kvILnSOBIGgMhAcsq7o5kjSEd8jtIopKE9NApXklp2o+bIBhUOZF4ARW4JfK7Yx93H70DAPB+fCja1cLkEgu6AOKLopBczqOCIaKS2n4bFrE5r50mqqEgkO0vru8ww2vBEKkkFd5QPAN7668pxwQt1DNjr8UbimfirZO/jp/O/0R4TuPWBBy/jcV2ELEsC4ZJO9j5z7WOouk1kDcKys0Z3VCUQwN7VCdafHe/qr0UnUMMQcjQ3Te1gYneTdEYpM+bus7y51KcO35+mDqHsNggACyljZwyXMh9xDQGXxj7vu/jzsP/gYbXwObCqcrrjhKZrjw/P4+//du/xW/91m/BdV3cfPPNuPrqqzEzMzPs/g0U8m6TcrIRp0dS0zDLiwFVMWm7SQEpSiqJUCqJL/mn9gyJtxdNiLbniP7S3LVavMYAl+V5CWwRKndVt4ONIb7DUiEI5BGppEBjMIKJk+qu2kEwSo8nSWNwFBoDTfvNI+le5EI0fByD6h3xAkrWGHhDteM57JomMdlxSe7JjkAlxY3Pju/AMqLdrQs3MYDLhx/TOtIwZU/jnZwNjIfnu/DgwTJsXDz9LtiGDYMYAi++Pr8BAHCguZ/dL48xs4gJa5IJsIIxlqAxBG2WzDIqbqVjHAO9VprG0PZanG2N22ixZH42O1beuZvExMXT74oJV0cqahQZn6O4BL5eu+zqLG+8Tmgbw//8n/8Td911F37nd34Ht91224pOnCfvNmmkKB/dahIzcWLJiwiRXD+NhAhX1WLHgoAkjSGL4VpYaPy2sJjX3BpKYWrgFhfH4PouJqwJLDoLaHoNmCZn2+C8PGSDtnAfGesxGCQuAJjGwNl06DVV10hCTGPoYGPwOS3MhBlzL0xyvZUFpKAxKM6JaQzcWODvqek1hJxHBniNIQCvtfJ5fmIag+/B9RyB9nA9V1kpkKIR1irOcymwk2ByGo0M6sXEP5fg39HntblZGDDwemMfgLiNAQiEx0vVFwEEWkySuyoAlKwy9tdf6xj5DARzUVU8iArVltfkqKQEjUFBjwnXkBbutteGYUTHMhsDt/Ek4VDwpY0H7xDisjl4AlNJ1157LXK5HP7u7/5OKONJU/w+8cQTQ+3gIMG4u1Dd4/2+6fdp2TbpAn/vkTtxSmFTpDEwVVEt4VWLjwG1jSFLjAAvPGTBENBjgWBoc3EMns9pDG6DudzR6wZ/OcGguJe0lBg8Io2BH/gJGgPEBTit7b31V3HrwRuE71peE88uPo3nK7/AtlN+Bz/Yfx0uXvNu0cYQqvgGMWK0SJIgTtKc7j16VyyRGgA0uRoCslcSf08Nr8F2uoHGELcx+JLgZ/caJr+ju2ovtAlZxGIUjOM7ykpnNrHR9tusrGcudMdMe96GFKhXNEvMXkE1MTGwTRwzlmFjJreW5QJTbZzW5U/Bi2Heqryp9kqiwqlsjqPqVoXyohTyhkKex7SfufDZtfg6KIIGHtcYkigd+X4dvw2bowP3VJ7FGcU3Yl2YGtwAYZpnmsZA7++E1hj27Nkzin6MBCz1Q/gCqFcB2/GTdMFAX+TLtRfDPO00E2pko1AilUriNAbEjc+qHPv8TiOwH3AGSs5TosW5q7q+xwyObb8l0jwcZ0tpKdVOMWtKjEBjMIQ78UKNwQBJNQanLVQPz90X+67ttXDf3F0Agns/3j6G3Ud3YSL0XAnuy2GGP1kwJNmTZO8sP5zIv1h6mn13wcRbcMw9iv3VfUIKjkAIcRoD/Mi+4zaYhmYSM6IWuF2wDx8zuVlUnKUYVWYRmy1UtB6zSSy2wWhJ75YiZ+TRdtvMpdkiFgxiptqUTGIKizkVDBax4YYagxivYUDm+iasKRxpHYZJTKUxldJNQKAx5BSaDJ0ja3LT8OGzQM4kYcqfM25NYMlZZHPTDtOJtL0mO4enpKggtonN7BFJRuCYxuC3kQ/f7Yb8KTjYPIBDzYOYza8P2uHWB5UbNd2kpGnto8LyXXkZIC9CsjsZOmgMfPxAy29xZTip10V2jSEyPvMagxvbwap4VL5uQ1vSGHium4989uAy+qDtqd1VgyjV5EGZNSUGCf8TU1J7bHFOT6KXInQUE5S/X5YLyGsJlJET1vE2YMSopOT4ATmzrscKzFNMWJO4aPaiWD/aflt4fr7vsUWm4dWZEODpDmpjoPfwpvKbsT5/SkxwBVy+KVyTp5KoRiCDvvu6W4NFLBBCWBW1JBhEpGOoxmmGieB8eMJ90vcuXDeMl5ANzxRrc+vYOXmjEIuvAKKxyGwWjcBmkZS2mvYFAGZz64XPvFcShStp4ECg7VAhlbRAy987XpvNjbPL58IiFlzObsgHPsqOJryXUrQ5WwUBbisB8oJGVe7IRmAwn3M5vS49jvo5t70W2wF0ylnEX5dFU6psDPBjQkQVV+DDZ4NWppKi1MQOEyqBxuCynaUTZqlk11XYGFS7zqwpMQxFHIMHLySSRI0hRu2ktK3ienkbAx/VzQsc13eZ3SNrmm/5nfrwY6UkCQyYoYFTFMhN4b36AKN/GrKNgYg2Bvq+gx19fHryGoNKMCT51jPB4NUZj0+vnbQZMiVKjFJozZCf9yRtlmqKPKiBNinDrG3YLFV4wSwwASr0I+zfpLUGeSOPg83XAYgGe37c8NoJ3a0vhbUcrLByHP++BBuDF2kMlHZKTGmj0Bgiujp4t0HQqhjgBiioJD8+J1ZFEr2VgJjG4ImCgbcxjIcBNfL5dLFteZHGILulxc/jB22wkBiMSkrXGFRCx/M9zruiLQiPliJlOP3OhAmbWDGNQZwYtEpW/F5UcQxNt4Ef7L9eOI5SRuI1guyShHTySgp+e632Cv7Xq/8vbj94Mx44ek/QbgdjHDWsBu1Gz4TSfv3YGDzfi+VlIoQwjS9OJfE2Bo8ZMu89eieeWvgpO4YumD98/Z/xy+rzrH8WsZQ7eur9A0TvyjIiG0OSxpBjwWR1JqRoOyqDb/C7qDFM2WvY/dE4BiJrDNIiSr2f0rRMqgnkjLxwPos8DvtJSBCBTOH5Ll6rvYKbXv+B8F55+mtDyO/T+UBIkClVVQwIiDaLFrFYFtukzYpsHA4088jeaMIIKDdeYwif18vVF/Fc5edcH3i7EhUMWmMYCeSdbqQxhAODiNykDB8RB9/2W2xg8D7zyutyi58dTuBEryT4eMPYGTirdA6ABMEAj9MYHFaXFgiMakGfaLSpzdwcDWLAInas+Aq/86LHqoScKvJ50VmMxW4EiwVhApEmPisYBYXGoKZ2nlj4T9S9Ol6pv4xnlp4SnlkS+MhvWTCQcDdLv99cODWWYI9HTDDAi+3GDRBYhkjrXDT1Gzi7fK5EJfnCIt/yW7FFDwAePfagEGCl1hii71uhwdskUfoGOS0KBd1INNxIY6CG5JKp9jQcM8cEW8lbJt+Bd03/Js4fvzB0V/XFOgwKKolVQ0zRqt82+U5cNvuBRM1l0orqKtDU+ECwYB9o7seB5n5hI8RTupsKW/C+mctwyfS7oz4ZRdS5IkliBHI4bwyLCfOkbACyHY7XGAxOY4jcVQnTMmgOrkvWvCe4FynITiVkR4mTSjDEduNUYwjXyOBlBgu3ikricwm1FFRSomDgFh+qIdCXLtgYQuPz2vw6nF58o9C2fB+0cEjbC6iknJGHAZMVTKd9oblhgmubsA070BgSgszoYqPK2cT8rBVFRXgYIZdKBUjVCZK7lazxQJMQNAa18Xk6LHfKo9NEaXIag+O7jJZwQ8FpEMJsDOeUz8OENZmYmypGJUmpNYCQSpI0hrdMviP05xfdW+U4BRWNYxAjqtIWGodl2MRmO2KRSgo1hg5UUstvxTx/aE4lGSWzLFBAJjFx4eTbYBl2kL7FFzUGStfxoFRSmpF7wp7E2eVzY9/TTQP16gEQM07zDhZRPzg3VUJw3sSvCbVPylwmWkAc/yx/EqKMriovr+AYSWPwIxuDEUa1u6EABaLATyBIdDhprcFZ5TcFfYAsGJZ3aT6pBIO8iLVjFFAUmKQylvG55VteM6KSvE5UUjTwaNCNKlcShQGDHaeOOhVtDG7ospgzbDZRaF/4iWQQk7ktynmMKOj5KtWfVZdLoKEoiOSWSusElM2yIo4h7v0DqP3sO+2feI3B811GmVDjM68xEEl4yZB3iYFp0BULuBDC3hOj6xK8ueTnZCrefxBnEVEZKqNnkNwtxcYQUklyBDEf0CYHkU3Yce0YCOIGVFqLGXozBe6qvMZgxIR3p4zFKshures5wSD3nT53Pt4jzYEECATeQmhzAGR+P3IlZhpDgmCI2Rg8R/BQDHJFRcZng0Q2hiVnCWWrzN4xv1kKxuvyljE4uQRDjL+nLzzurqranfK5hBzfibmXJXm48NelEzaKY4gPYkIMwS893p4b5tmxQq+kNizDQo4rQhJpDJExzyQGLMMOdzbqvjY5A658P9E5ccM1DyNMfUGPp7uzklWOeSvF0m6H1+QFhiXRb0ngbQweIk8gugMzCOEMvyYICF6rv4IbFWVJ47YIH57vs5xEQLCQMxuD32JGdxm+78c0I4NRSabwHbMxGJbSj90mkY2BFww0RqTBEu2JgpX/LAuNpMW7aJaU45NqEa7vShoDie108wovo07gxywg2vviGkOUWp71I8HQTVGyykK9bcFtFJFjANXKE6kk6V75LMbUfuRybqg07TYQjK9SuFEKrisan5dbY+gYx7CaENMYWL3byPjMdvIw8fGNn8KzS0+zgjl8CmEgUtvdmOYhgl/8LIlKUmkmBiKjJkvEJe0oCDFgEwtOSCUFHkdR1TZfpTEgyDjZcGuJFMrx9nH2bw+eQCVEKTHiMRA85OyqNMK8ZJYR5KNP1jiiPDMhjZBbj8OtQ+H9R4vue2f+OwpmgSWmA+I0Ct1duqEgNWBweYoiA/HB5oHwmOheVTYGIHh/l89+EAvOAk4rngHLiBZpmfr58Prfxu2Hbg5jIFxM22ux6MyH7yukkrgFwCSG4JXE/0aL04+ZRTZGIy0ldD8lJicYcsLix2tgtE7B/zjld2ERC9O5tSiYBdx79C6h/0GchUKjDb9zPEcQ1oHwFcdVlpxMMnJGHnWvjkvXXoFxa0IQtjnJa6mpoJKS3MYpZJrYVWgMBgxO40ygkqTruNxm0QhjWTyOSqIUK+uHVeZiofi0HM6y1nsGRqQxuK6Lbdu24fOf/zwAYO/evfj4xz+Oyy67DF/5ylfQaqWX2hsU4h4/osbAG3yoBwSvxtI87hT1UG3vaGMQNIbQBQ7UIyQuGHhvF5X7qOu7Ad0U0kJOmBYhR3IxjYEXDCZHJSWlq8tSu8AXdjdJGkOUXbXiLCFvFEKPGiKdrxYMru+gaJZwZingYNt+W1ggTh17A9bm1gnnyh45lEsPFrAghoKP7OZ3ZbKGEPdK8lm+p7PK5+AdUxehYBYEG4O8uz61+AZM2lPw4MOFi1MKG7GxsJldP/gragyijYGfnsG9l8yI3qGeNZTOMonFND45FxI/DuhzOaWwCbP59TCJiTeP/xpUUHlG0fts+20x8pko4hgypN6QQfu6JjeNTWNbpN9EwRBRSVyuqg5UUtkSBYMcD2HAFOZgkuFc1hiCTLKhdhBGjbuC8dkQzuHfJT8nHL+9rB5JwIgEw/XXX48zzzyTff72t7+Nz3zmM7jrrrswMTGBG264IeXswUE2Agd0UBQ7wA9s5iInvSDe+4FSF9HincHGIGkMqp0Bb9RUeTxRztw2bDiew2wMtpGTaviKE9PgjM+yh5bAQYcLRzwTaTwlRpKNgXdXrboVbpdGBI0hFlfAqCRXKOnIx40AkdshD1ljoL+7fjvYrXFxDJRaopAFQTyOIfA7l98XXZSDehOqBYkAVKiQiHqimphgfEYkuGSvJKrd8rx0m6OSaFuRbUl8NnmFYMgC1SJL+ywvYJTO4mEpkuJ1Ap/PSIadIBgcRR87tgAAIABJREFUvzsbAw/ZS45qHExjSMg9pdQYKJVEvZLAuatKbsxlq8zGtDi/3dWvMRw8eBD33XcfPvaxjwEIdp0/+clP8P73vx8A8NGPfhT33HPPsLsBQKRAchz/7HMGIyYYwkcT4xG5QdLIqDHwHik0ICotQRatLcu3LebPCVR4uvun+XJ4/2y1xmCEqRnasTQdRbPE7p266iZlIhU8mlReSTAAnkpyqix/UyAwKCUVTwHS9lu47rUdeLX2MrsngHqBic9IphXkQkWC8RliSgwaCU3xHwdvxmNhneWnF57AY8cfit17EKQnCQZO41M7EpBAY/BdmJzAV9kYTN7GQCzGlRswmSYX8NKB6G1JgoHvi8zF20YUGJdlsaaardLGIHj9SBrDABa0taFHmspWkKwx8HEM6X2QXdFd38W1r/097jmyCx5c9k5o7AefXoWHfK8OH8zGbAxRpTsi2WACjSEY1Y8ef5Drj5O6PowCQ7cx/Pmf/zmuvvpqVKsB33n8+HFMTEzAsoJLb9iwAYcOqQu68zBNgqmpePKyLDBNA1NTRZhHo+8KdgH1Zg3FcQvFMPHVxMQYCjUbqALFYgFTU0WUvDzAnWdzdjpWtNv0MTVVRK7RObtqMV8AqoBtWYn3UyoWMD01DuwD7ELQdweRQHJ9B4V8DgUUAASq6lg+j4I5hoPNNqamilhYCibQZLEMhA4YE+Uiyn4RTsVBoSguDjnLQhllLLWXsGZsDY615zA+UUDJjvpoHiZAEwAB63vBiw+hUimPMZKDXwmei/t6G+X8NKamirAOBs9oaqooCFn2TO0WKmHt4on8JNaMjwNHgHzJgL1oAeHaPzVZQskqwXg1ykTa8kXBUMoXgWpg47EtC7ZhMUE0UR5Drm4DIft0pHUIU2OTmJoq4un98cSQhhmQbznLFt4bn03TNuPv1DpowrINeHUXxbECfMcFqkDODtopONFCYdkm7ELweWZqAsV2HlgAcqaNhhsIhlOmZzGVL8IgBrMnzUxNYMwaQ+6ADTjBwl3M5YHIxIDJiRKmj0/jaOMoxseKqXPp9974+1iTX4OJXBFGqw3sC595eM64N8bmRKlQYN/bhy0QD7G2P3P2VShZJUzls83fKyeuwBsXz8CbJs+OGfObtQmAC0BndBonB/N2Lpjv4byXMYUiPmJsQ9NtYte+O5DLm6jNV7Gn8izeOvM2WEbwHqdQxO/an8TG4iaMWXEDfaMmfmfaQLEczLuJ8SLytRza7SaK5XB9KReRM3Os/6fPblGmGffhwzRNoe9J9zIsDFUw3HvvvZiensb555+Pxx57rK+2XNfH/Hytp3OnpoqYn6+h1eY8Xfzg1ufmF1FpBruOylIT7XawyDTrDubna6jXxMVroVKBjEarifn5Gmr1uOoLBKmQKehamHY/jXobNTM4cKlWw/x8DfmyOEHaLQ9wDdTdGppeC16bwPcMNNygL4v1oG2vFS089aoDtxXsoCtVkY/3XGDMKGEJSxjzg939/EIVbSu6btuJku3Rvi9V45G29VobrWZQd2B+voam04TvEMzP1+C50flNN+5zv1SLngnxDLRqwUJ+bHERrhMJ2KXFBhzTgG3kWOBZXbIx+E7kThxcN9JOatU23LaorTSawbObNNdgAQvCb23HgQcfeYjvbWqqyPzViWfE3qnn+mi1gsCndtODF96C7wLz8zVBODZbLXb/1aUWWs2I9mLtVU3M12uBxhAuitXFFpqGD3g0NsZm45iiXmlj0pzGURyF00qfS5PuLLwaMF+roeZG1Ck9p1nn/P65tjwn8NyS2y5hGmgD8/Xs83cDTsPCQnxsNaT7otQgP2688NnSea/CZuNMwAAschdq9WgcVho1EJ+w82awEc2Kjybi7VQl22i92cTSUtDnWqUFzwFajoOlSvBdtdpEmzPO15dc1BLsF75HYuOs1/VvdjaexaEThioYnnjiCezevRsPPPAAms0mKpUKrrnmGiwuLsJxHFiWhYMHD2L9+vXD7AYDT41QVbvttyV3MjGXkawuqiqGpeUXAkS6JXK9TFZ3A7fZ0Mbgqds2SEAlLVEqyQhoFyeMvlRRSTTyObhv8T4IISib4ziMgxGVJNsYFCkx1O6q1CsJ4bUctjPiU2LIrqrBsSJXHFFJTcHQzSdFS8oPRN1VffgxY7PK556+R1URGw8+Sx0uwyRWzKuJv45YhzjZxuD6UdGlIKGCIRwLRDSQQQzmP2ASS/hrK4LjDJiYtmfwEqKStlmgonNE+svivo/bGAYNmUqi6MYriQdv8AcCzbGTjYJCnsM0tgOIjM8eXEZhUzoT4JxQEjO3rmLj89e+9jU88MAD2L17N/7mb/4GF198Mf76r/8aF110EX784x8DAG6++WZs3bp1mN1g4Bc6m8s1xBuH5IEtc33yggqobQz8hHIF4zMtF5hmYzDClMcGG/DyAkzd6YK02y4zPgd9jPypxTgGky3QsoAzQDBuTcAiNsuiGU+JTVNidHJXFb2S2l5buG/ajqrQCm/oE+7JE+tW0wmmSrpGIZd25CebbGMAoveoese0sIoy4Atxe0HUT8J5GvE2hrhzA01iSLOfRnaI+DWjyGkrFkVvGXZsfJnEZB5RSbmRVEiLY+CvCdBU1d0bm7tBkmDgx00nryQeJgyhRvt8+3jm8+PGZ5fLnBu8v/n2cfzHoZsAiM4tbyydndr2cscxLMvVr776alx77bW47LLLMD8/j49//OMjuS5vNM1zkcNChSVWlS3SIng0FZ4SqjiGJIkveyUBwO9u+gO8ZyYSjvSaY2aR+aLHyoqGiwwtts4Xa+H9qVWRz0C8JCaBgbdNvRMf2fBxITUwjyglhjorZHQdgwW40cSDNuemS3dQqsAhflE2iBl5qPhN4fnKaZRV4D1YiKQx8HEMFEwweG2MWxP4rQ0f4+7dY+6qMlhMglJjiASDwQXE8WMuur6LltdkGkuUaNHE723+LD656TNc/+PuzvT6RbMUW9xMYmLz2Kn48Prfxtsm3xnrZxKSIp8p+Ov/xsz78N6ZSzO33QuS0ncLGkOHADceBjFjczqrxsGPBTPUPKKYBSPWDwID07kZfGj9/8D71l7Gvv/tUz6JsuQptdxeSSMLcLvoootw0UVB7votW7aMzEWVB7+wRF5Jbc4rKZLokQsr9U4KPEOabiPm4dLJK4mHacSppJncWiF3Cx0UJbMclR9VaAx0MAZppbn6wZw/teCVBINRES0paIcQgqJZRNEsolJdjD2voA/xlBiqXT8f4Mbnt6fXoUJXFdXdFjQGEzkSaTj8tWTBwJfDpOB3rwaX2TLoR5z2oH1teU1M2zNCDAuLY1AltjMswE0WDFG9DnW5TwrXd9DwGiwojHnGEROT9pRwbJQZNS4YSmZZqTEAQWxFN0gThACEuso0++pyQMyV1A2VZMSTI/agMdjEFmIW5Cp+wXfBOzmteLrw/YbCRkzZ0yx1DLC8mVWBky4lBueuyhWt4dPcMo2BExYAYIcToOk1YRKLLVgAH53cWTCoNAZAHGT0miUu2VeMSiIGLGKyHXYQKUs1BpctviZMwUUy0hjEXZK4m6b5WyLKZ6E9z2gjqgm4YUF4GbyA5fPb0988P3DfVFE2IlccJIejrplCXWRC30sgGPjUC5QK4xfNGJWkmLhRHqw2ckZOOJ8WUkmyMQR/06kkg0t1oqpp4fouGm6d3QvTGBTXVKVtp9cvW+W4jaELekXuvwwhv9OQqaOscLrIlcTDgBmLl8iqcfBzJqhqJ9sYJI0hRWDJqUOWs3obcNKlxODSX4c72EePP4glJ9gh8xwgX+4TCNNXo4mm12Dcd10KcOMXyXFrEsfbc7E+yLmSKMQI0uDfZauM1xt7w7blzJ5EWhQig6Mr+VPbxIIbpmGgC3RTYWOQr0+ved/Ru7Cn8iz73fc9PDi3G/Pt49hQ2Bi7R56/p5OOFww+POw6fBuOtQKfx7xRYLs2MRlawJ/bRg5tvyUZn4P2qeZXMArMqHrq2Buwp/Ks4K8fo5IUNgZq6G/5TdhGTngn1KCflAo7aDPd+CwW74kLVNd30PQabOfNawwyqA2LF17Ul79kjgt5o+RrJyFIya4O5hKunUAlLSeSsqt2Qn8aA+eqbOTEeQcj1k6aFrAhfwpeqr6gbHs5cGK81RGB1xioAY4KBUDMlRQZpLkoSDfQGAIPoGjR4QO2xowiPrD+Iyhb4/hl9Xk8fOx+oQ9JXkn8IkUX6ZJZRtNrou21YSioJH43Z3FFVTxuJx95IjVY5DMQjyol0m6a3g8ALLTnhWN9+Fhoz2O+fUwonMLa4jQvOW0DTS19vHUMi2GGyyvWfRie7+G2QzcKWgRfs0CukStTSXxOnvfOXIo3j1/ANAd6T3J94niAErUxtJjA+cTGT+NnC/+J/Y298OEpd33T9gwONQ8od5qEa9eACWKIGikAfHLTZ/Cz+cfwq9pLaHgNpY1BhlzcHogi8UtWGa1W8H43FjbjXdPvyyQYPr3lj5Ar+SxWJAlJNoZR4fc2fxae7+Ff9l/LvhM2FF3stk1iDMTGYBs26m4tlnZbOD5lsb9w4u1Yl9uA2w/vDDI3n4zG5+UCv0tT5igSqCTR+EyPpxoDz91HtZB9WIaFDYWNKFvjQoER+bpxKomLJg2vSYuSVN1KvBYAETUGvtqWvHOhwsCEwagXeTLIWTKBSMOSU0348NHyW2h4DXXkM8ffR9G5IpXE104omGOsipcj2RjoPcg1ckkKlWQSC6cUNsUFASQqSRr+HjzmGUTbXZtfh4JRgO97cBOMz1Q4Vt14jIvBJcYzOSqJH4vTuRmUrXGmMRQYlZTilcQ2LJGBnUbil7kcPHkjz8pbdkLRLGJtYbbjccstGCbtKazJTQvfOb1qDIiizbs9n98kUBuDUNpTGitpiz0hBBvHNjOhttzG55NKMPALS1K6a7pbl71GLEbBBDYG3k3S4zQGMZ9PgqEScbVSRSXRFM9VpxKjHqiNgbXL5eR3lRqD5OVDq7ohnmacfkd3tao4gZbXZLWvZfACthIW6eHjGDzfFQRT4J4Z5v+RbAy0PbmOM0WkMYh1EoL7EO0mRHrGKv6c0lFy/IcfWFaUE5YKtaNSJbvwSlwqZzPRxkDzHLl+VPOBpWZXxhJQKi3qJxXgJS4HT6cU1L1ApjCXCyKN1puNgdcOooy32c43UwQDn8KfIotBmQolbXweIYRAM0OtMUyHhcmn7GBHwnZmnJGNz+HDdoC+H+ZZEUsdypD92Nn33GCk16QlF1UaQ+CVJE7QjhoD5+VDF3uW5VOwMVCNwYPv+7EcRMH5wcJeUwRL8Xz+7qNBvArvrlp3G4L7LS3QDsRtDLSPNFeRjKIZ1HgoKspTysLWEDQGEtvRAbxg4OwTnMaiOodWm5uVsr3S60T3YwrjhQe/yFEqKXJ9TKOSog3KKYVNAGgdheHtPHmqRjWPRgWePuzdxhAdywRyxmfGbwJtgxqfo3cWdwDo3K4xxPfWDU4qG4MvaAxqwXB26RxM29NM/WYaA7dQ2MRmKrwVZmkN/Nx90SVSIRh4SoUHX3pQvqbDeTtEx4gcpslTSeBUWk5joAZrPotn4PLaVnol0Yp1qiA2Klj4nP/R+fFAQb4PNacq/Waxo8UMuJyNAZ4yk+sbS2djbW4tXm/sV/RDtNvwGkPSxKOCziaixkCLuif59X9q8x+iaMZz2QjF7RG9I1kD5N8lpZI8ZrTORiVdPvtBVJwlmMSM3KyHIRhOEONz3hxjLp5Or5HP3BgpmGOoupUuIp854zPJBXOFq+cg9yOTxhBuEHtJVz5InGQaQ7RLUxsKAwqE52SZ8ZnXGAyb0xjCFNWKyFgVVZFUjYwfCLJdw+UywFLENYZoh8JTSSYxYIfF4mkAH7+Y0B2tQCURaoD3mEFTzmRKaR1VegUVTcMoNK6KGv9MVLQbq6YHI6yCFhcMJjExk5tNqGuR7IVkQF3WM9IYcsKxfGUvFabsNbGMpkHfpWhr+mx9mUqKawx8Kg0ZKo3BNmzGvSdlBx4E+L4up2BIKgLUDX2m1hiy2hgirZNu4qJ3RmL9yJJ5NrINdV/gaJA4uQSD4AevMA4pFnK2SHMqs01stlDS71W5dJQ1e5nxOfnaLEcOS73txmIkgt2/ZGNA5JUUBdqYYcrl6Fi6mBAQgBYm4qmk8PqL7QWW6G7cVqceVmkMgW+X+CypYFWlAjE5KokHPdYgBlyudq4KqgWK37HJXlyEGDF6DojuJydETcffTVbwmphJTPZZZWOgoAseTwfKoK67SSlBVIWABgXRG24ZNYaExbOrOAYugDXHKNfs7zhKzSLmIKNpbYRrZbIxBO0VzO5rZQ8SJ5lgiCajXDSDfifDkIzPAFjCOv57yoHL+enj7cU5fRlR2U9eA4gvJFaajYEF2gT8+xg30OhiQjieXfbgAYAHj92LZ5aeAiDW3eWhil42IMYMAJzxWfqexiqonj3ja0FYjEES1F5mvWsMtqQx8O10A34IGMRkE37z2KnCcSKVFBxD4xlUsSLUkyYpJYjqvQ4Dy2l83jJ2GoC44BzrYlHli/JEMUbdeDVR7zgxPijr+iKDerAtt8ZwctkYhFxGKncylcYQp5J4G4PNuR+m2RjeMvkO/NrEW9l3KqFBA70ij5LgL5/7iGLMLCbbGELjMx3gb5+6CBdMvIUdyzQGQlh8huzKSfFq7VcAgoC9rAgoK/E7lfcTkOy+C3Auw8RgHPI7p/4bzh0/P3asyggqRpMbAtUTeEfFBQP17OEFDZHa6QaixmCgaBbxe5s/i7IkaPnr0Qpjm8a24FObr8KkFU814XQSDEQcQ/3gD0/9PxMXteXUGM4b/zVsKmzBQ8fuxWv1VwAAH9nwcZYsMAvouLTDKHugW43DBPw2Ww9qbhV5o8BqcPPIQiVRjaOXWtmDxEkjGHzfF6gIJtG5jXgalSTSNpyNweA0Bqkkn2icsjFuTTDjpmqBKZrFQDBwdaetMGpZXsTKVlmIBI4LhshDKmfkhAWEp5Kou6PMhVPQBWhCqnqVBpXGQBSUFSAtwCAQM7dG6YqjhTAfW1SB5J0rzaFkEIMZdaP244KhqRAMomdRt4KBF7hBm3Leo6Dd4De6qFBQ7zgZHTWGARqfxxRGdYqktNGjACEEa3LTwrtfY093nSsJCOZxFMHejfE61BjCjWPNqUa5rnqgkqj7t5wiY9RY9VRSza2h7tRji0BgCOy8M4gW6ShAyjZstqBGfuleEBkruH3G7Q3M2KsYJNTlssXFDZjEQstr4XjruHBsySzHbAyGRD0l3Z/NBEMU8Ja0K6YDVS6HmIYkaihoW07uZiX+xgcZOopEdDw6pZI2YMR2YUqNwVUIhn40BpJNqFD719pc5wAzgNMYiNp7ZZjG5xMNYqnR7gQVnSMWsVMjzZMg11eouhW2qMeyq2bSGALNeLk1hlU/au4+8iPs2nuH0nibyRjELeh0N2sRm+1aaXSy7wfVq1QRzMGHSMAAke2Cx5lhjvYxziffJCaeXXoad+z9kXBs3ijEMmsKKTF8N/H+qOGcL4Qj+PhzffPgwSRm6q5RBr/DlyFPjiTKBgBm8+vC/hgsviFpN5dEaTDvLMOK8bb0fZrEYkJZpTHItopuwI+BtAWHPt9zyudlapc+X1VpSODE8YcfBeRkid2ALsBBzfPuhWnkNhz0oepWWJuykOomaE3bGIYM3/ex0F5QxgF0pzHwCbMsTOdm8AdbtmN/Yy+eWXoqzL3pJQa4yZqCaud5/viFOL14pkCVJC0mModJ4xOAMI4hRWOgwmBtblawN7C+SotJySwrXTHHjDGWSFDsm8Eiq88fvxAXrfmNqO1UKinAmcWz8a6Z97HnYCBKcZ4UldqJ616bm41TSeFm4d3Tv4kNhY34wf7rmI1BrkwW/bs7Lx+Roks+d0NhI35/y+cya2bUGK96L8F1h+eVdKLBTNqMZcCvT12C04tnYsqexhML3ZcfprZKlbsxdUneWNiM96/7cFdCWnslDRkFs4CGU1dWQMvyolQLOVUby9Y4W4x934u7qwrukTRNQzKVRAhJNUrKkI3PNH+SGwbaJGkM9L7X5dcz7UEV4EZRMsuxOAYgmV4yQFiOpKJZEgY5YXaPkIoz4jtzy7CE5xAYn6PU1Sp08o5Zl1uv0BhozYocizJveg3mKRXdjxgo1w14LaiTfaIbum6UxucTHWaK1tkJNLdZwSyw8ZfmFi2DhOuIMkAxHF8WsZTBj2nQAW5DRt4YQ92tK9NWZ5k0dLDIhmT2O4n80mPuqoj/m/6elQtNox/4XEJRfWAjrMeQrDEstIOspmvsGc7eoLaNAEHuHRVlkeSpxGsM8gCnz4FScCKVRA394iJvkAw2hg6pGfJmQWFjiKptRcGEbkwYi9pUHxrDAPMW0UUnMY6BjoeTgErix0S3gpsHS7mviG9JAq0lrtIY+NT33aIbO8cwsOpHTcEoBMZnKWqWj0JNQ87IwSY5lKyI97eEWsJhXiFFLh1+iNJBZ8DAmDHGXBI7QbUTPr34xqAfnHsdH/vghh5SSYbSTaE738bCZrbjFPJISYOyzFFJNGOsAYMl+ZNBQFjeng3hX/43AEwjUBmfbVkwwODqY3RnYwCAGTvIZWRJwu20sJrZtD2TGs3bj8ZgcO99kB48byq/GUDyAjJsG4NF7BNGGxGNz733ic8RlhV0HeELd9EI6jVhHMrpxTMzt3dKPh6zshxY9TaGvFmAD1+RZjoesq6Cbdj4g1O3C1SKWDKSqp+qlBjxYDdCCH5vy2czF2SXJ/7HN34KM6HnCk0lLafGCKgkdV4fALhg4q04u/xmFMwC0xgcKXndH532Jdx/9G68WN2DkjUOk5j43GlfgkVsLDrzyBkFPLv4XwCAs0vn4t0zW/HD1/8Zi848DBCcVT4HW8beEOP1Kb1GBYPKxmBL9Ijo3ZWwECYsUttP+7LS0A8A55YvwBnFs1kfbRIUBJKFsZhao8udHKUQB7xAb137frxnZmuisOEjeoeBz576x0AXlMsw0Y/xmQejhbu4LyN0YpnkyppSzXRNbgafPfWLXdFCHznld5SpX0aNVS8Y6EuSc/oQEo9MTIL8Ym0p8yYQaAyyjUFlfAaSDYYqyLvXnJFPDGwDAINYobuqm3h/hBC2GPK1r3nkjTzTsig/SvtNfesLXAnKgllgCzBdSGWhAHAaQ6gx8feXxJvzzzTNGK9CktcOPYfvY87Ioe22FBqD2mMrC1jq7AFTA8EuNXkcDTvyeTmzqsrox12Vh1zWN9s5RujIYoSbMleIQVDNgTTI83m5cGLogkNEPkEwZDU+q2AJGkM4mODDgy/ZGEQyqRfE860Y0u+W5LZqhO6qfqbdE12E2wr3UuYSmaDd5KVAnizufvQYSkOpBIPMmycF3w0acip11TW73YFHFOJoJ/vJ5K7K29r6QVTWtwsqCVEGBUqzqhw1VhpW/aihEluuG0AUKTGyghcMvMYQ2BjinkhA9ztNinhYfdzdU9YgAnfVZI1BPD9M7e3Fa/3SuIqZhKAryqWyqlOI6LIk0N8KxhgmrSlMKJLzxTSGLqicLYXTUn9fY08nvneWSt2QBUPvO9LI9jPaqTZmlmASsytPp5UKPj17P9hU2AIA2DyWPoZ4GFwm4bdMvgMAUF4Fz/zE0QeHhGSNgbAJf2bxbFy27gOZ2+TpCToYaeSzuLvsPWKWIuahE9MYTMjxDG4XGoPNaj7EBcM55fNwVumcRNogL5WgzCJs6a6sYBbwyc2fUR6fSiWltP+FN3yl4/V/d9MfJP7GMuZKz5ynErvXGJYnnqBoFvG50760rEnuRoVBaQwbChvxhTf8X109M15jOHf8fJxVelPMyWElYtWPmmQbQ0QldcvrqYxdQb0ATxIA6mC3bhA3hMopJUyF8dmFn2J85kHvRUUl0VxNSYhywkQaQ6cdNX1eeaOQ+Mxl7jyr8TfLO0x7JlQgyc+cLxvaa+TzcvDGJ4NQACIvul43Xzy6fWayd+NqEArASUAlUY2h5kmCAaTnwtsqzyOlxqAIcOsWsuuoKteQYGNAKBigLkMZbz+ZSuoE+mxNTmPoNDkjKinZKCcbjA0yGhuDnWBj4APjuk+7Tb2Slt+guFqRVC53FCDoPOZXIlbfHUmgtRPkcpJ8cfisA0qVxyY9jmEQGoMsGMS+rrHXCK5yBjFD47MYbJcEagQ+b+LXuu5b3shj3JrARBjoRl330jBhTaJsj6eG/MteW1m8kgaBJONzweSppB41htU/1ZYNUaW/0Wd6nbSnlNlyVzpOCl2zbJex5CwK3/Fl+bJO9ktnr8Cls1cI3/FxDHJN4H7y+CedJxuxL1/3IeEzpZK6CeD74ulf661vhOD3t3yO+2x0FEZnlc/Br29+G+bn4yVB+T6J1+ndK6gbyBlzKZLyJmUB80rSGsPQMCjjcy9498xvjvyao8BJsY0ZtydS3VX7GVB04Wa1XpM0hh6pJNl1rpOAoYJB1l5GgUDU9r9rk91V+6mH0NV1KYWVcgtdaww9pHLW6A5JddQ1esdJIhiihGx8xTC6i+srWjJc8KkPvlBXOCHArRvIdYk7ub0ywSDZO0aBwPg8CANgMn02zJ03Sw+iqNMQXb9bjaG38zSyY1BeSRoRTorRyguGvFFggiAyPve+2EQaQzz7p0lM5tHSq29z9xqDBSes+DZyjSGlQE+37fAQn+nw7onSVGmCodfSnknpwjX6x3JSSasVQ7UxNJtNfOpTn0Kr1YLrunj/+9+PL3/5y9i7dy/+5E/+BPPz8zjvvPPwV3/1V8jlhhctOJ6LBMO0PYPXw5z7g6CS6Lm0kAy/ABjEwFWnfgE+vJ5dB+Xw/E4Lb86w0fZbsHxrGTSG3qPJO7Ub/Xt4Cywfk5KErkt7aq+kocMcoLuqRoChPslcLofrrrsOt956K3bu3IkHH3wQTz31FL797W9V4VmtAAAPeElEQVTjM5/5DO666y5MTEzghhtuGGY3mMZgkxwMYnIGwe6MzyrQc2lJvnjKaOP/b+/+g6Kq9z6Av88eBAQUEAW8QqhooJli93J9fFRQGq7Nsy4Lq5Y/G8umnDErdHJ0JjUtpyZzdLRbU5lNjdE0TQYThqaM2oxmag8+pI82ZaCLo3hjuwLCArt87x/rHjgKwrJn2T3wfv0Fh7PnfD/L7vmc78/j1Xjyuxf06qqvIlgKgVM44RAtuq0xdHRcwJUUffmMYSUx3K/G4OnQZmUeAy9avtL2rGY2JWnFp59WSZIQHu5artrhcMDhcECSJJw6dQqzZ88GAOTl5aG0tNSXxUDYnSWzI4IiYJDahlS67z696ny+81r3PACtOxnvfo5EV9xj8Ztam/pOjaGXOnDdibSjGkP7ZdM9wVFJvtfWx8DkqxWfD1d1Op2wWCy4evUqFi1ahMTERAwePBhBQa5Tx8fHo7q6usvjyLKEqCjPnoLkFibiIEsyshP/gf+rOQe5SUZUVBjCGkOAW0D4wNAeHzvEceeLf6clbFD4wB4fqyPpA/6K/68rV37v6thRzgjA5qpphIX2PK6eSLQnIMze9Tll2dDhPiMjRiHIEHTP38Kb70ykM8g+jSc1fCy++xfwX8P/jqhB6vP8I+ExHKoqQUz0IHWfRyexuIW1hAA2YGBISK/+L3qqq3gCkbM1BLgCBAWpPx96jKUzvR2LzxODLMsoKipCbW0tVq5cid9//71Hx3E6xX3Hvt9PVFQYVox8CRCA0/G/gAD+/e8GNDe5hpg22Z09Prb7SWUNdle/hb2x58fqSASGYOWoNfhnxXYA6PLYDnvbz1JLkKZl6cpDoY8AoV2XMSoqrMN9jMMsAO59vd1+Z8SXMPg4Htk1p8N5bxnGDBiPMaPGo/aWXbW9s1jc7I2usjuaW3v1f9FTXcUTiNz9cOKu/5seY+mMN7EMGzao653u0mt1r8GDB2PKlCk4d+4camtr4XC4vjA3btxAXFxcbxXDNTf3rr4Fb9p/3dXXFh81JXmq/RyAEA/Xgg9UvnqmQW/w51pJ/YV7TS9f9j/1Nz5NDDabDbW1rhnHdrsdJ0+eRHJyMqZMmYJDhw4BAL7++mtkZWX5shgqBqltEpZBg2Fu7g6vts5n/14A2s8avt96RHrStkKp/tqQOSqpd8iSrMnkSnLxaVPSzZs3sW7dOjidrtU+H3vsMcyaNQtjxoxBfn4+du7ciXHjxmH+/Pm+LIZKfMhfOhiV5P08BkeAJIb2j8UM6SOJwdePqfQl1hh6hywFsfNZQz5NDKmpqSgsLLxne2Jios+HqHZmwuBJmIBJANqakrx6gPidL757VJK/L16qGkOfaUryvsnPX3o6mok8I0uyLmuUgapfv5NazGNwL8bnfp6Bv+8M269M2ldqDHpujuFaSb1Dbjc/ibzXvxODRneikmQInKakdo8d7St9DHp+fnHbWklMDL4kS70/078v6xfLbndGqwuOAZLPRyXNHD4LV25d7bos7WK5+7kGetW2tpX+Lq6SjpvB9GRUWHKf+bwHgn6eGNyrq3p3wemNGsO0+Ol4KNSzccx9ZfienmcPK81gOkxqejIlepq/i9Cn9OvbGINGwyANkJRlt/3dlNQXtbXT6+/jquc5GNR/6e+bpiGtmpLaj2riBUB7WiVw/1APjSbSg37dlDQsOBaJoUkYMiDGq+P01jOJuys9amqfGqGhLKKnw+YY9wTIQPhcEHVXv04M4UERyBk+z+vjtL8bDIS25L9H/7e/i6CpthqD/99bT0k6Ljv1X6zfakD58sPQZzp8A0nbPAb9fVyVmc8BcMNA1F36+6YFIDYX+Jaem5L0nNSo/+KnVQNtE+X0d+HSAz13Pg8LjsWosDEYGjzM30Uh6rZ+3ceglbbhlHw7fUHP8xhC5YH4nzizv4tB5BH93YIFIAOHJPqUnucxEOkRv2ka4EJpvqU0Jemwj4FIj5gYNNDWx8CmJF8wMPES9SomBg3oedSMHuj5CW5EesRvmga4gqZvGXT8PAYiPeKVTANtFy42JfmCFg9UIqLu4zdNA+FyBAC2gfvKQEMY0iL/hpFho/1dFKJ+gYlBA3Eh8QCABme9n0vSN0mShGlDMhE5IMrfRSHqF5gYNBAbMhwA8Efzv/xcEiIi7zExaCAmeKi/i0BEpBn2lmpAlmTMjMlGdPAQfxeFiMhrTAwaeWjwRH8XgYhIE2xKIiIiFSYGIiJSYWIgIiIVJgYiIlJhYiAiIhUmBiIiUmFiICIiFSYGIiJSkYQQwt+FICKiwMEaAxERqTAxEBGRChMDERGpMDEQEZEKEwMREakwMRARkQoTAxERqQRkYli/fj2mTp2KOXPmKNsuXbqEJ554AiaTCStWrEB9fT0AoKqqChMnToTZbIbZbMbGjRuV13z77bcwmUwwGo3Ytm1bp+c7f/48TCYTsrOz8frrr8M9taOkpARGoxGpqan4+eefdRvHzp07YTKZYDab8fTTT6O6ulq3sezevRszZsxQjn38+HHdxvLSSy8px83KyoLZbNZtLJ2dM5Bj2bFjBzIzMzF58mTV9jNnziAvLw/jx4/HwYMHPY7D01ja/81oNMJkMqGpqQlA5+/33b7//nvMnj0b2dnZ+OCDD5Tt+/btQ3Z2NlJSUmCz2bofgAhAp0+fFufPnxdGo1HZZrFYxI8//iiEEOLLL78UO3bsEEIIYbVaVfu52Ww2kZmZKWpqaoQQQqxdu1acPHmyw/PNnTtXlJWVidbWVrF8+XJx7NgxIYQQv/32m7h8+bJYsmSJKC8v120cdXV1yj6ffPKJ2LBhg25j2bVrl9izZ4/H5Q/EWNp74403xO7du3UbS2fnDORYysrKRHV1tUhLS1Ntt1qt4uLFi+Lll18WJSUlHsfhaSwtLS1izpw54uLFi0oMDodDCNG9z47D4RCPPvqouHr1qmhqahImk0n8+uuvQgghLly4IKxWq5g1a5bynnRHQNYY0tPTERkZqdpWWVmJ9PR0AMC0adPw3Xff3fcYVqsVSUlJGDLE9RzmqVOn4tChQ/fsd/PmTdTX1yMtLQ2SJCE3NxelpaUAgOTkZIwePVr3cURERCj7NTY2QpIk3caihUCLRQiBkpIS1d2l3mLx9Jz+jgUA0tLSEBsbe8/2hIQEpKamwmDo+eXRk1hOnDiBlJQUpKamAgCio6Mhy3K3vwfl5eVISkpCYmIigoODYTQalf3Gjx+PhIQEj8sfkImhI2PHjlWCPXjwIK5fv678raqqCrm5uViyZAnOnj0LAEhKSkJFRQWqqqrgcDhQWlqKGzdu3HPc6upqxMfHK7/Hx8f3qKkl0ONwV5u/+eYbvPjii7qO5bPPPoPJZML69etx69YtXccCAGfPnkVMTAxGjhyp21jud85AjMUfOouloqICkiRh+fLlyMvLw4cffgig+9emu/eLi4vz+hqmm8SwdetWFBQUwGKx4Pbt2wgODgYAxMbG4ujRoygsLMS6deuwZs0a1NfXIzIyEq+++iry8/OxePFijBgxwqs7AK34K478/HwcP34cJpMJ+/bt020sCxcuxOHDh1FUVITY2Fi8+eabuo3Frbi4uEe1hUCKpbNz6jEWX+ksFqfTiZ9++gnbtm1DQUEBjhw5gh9++MGvZQ3y69k9kJycjL179wJwZdhjx44BAIKDg5U3eMKECXjggQdQUVGBhx9+GFlZWcjKygIAfPHFFzAYDHA6nbBYLACArKwsLFy4UHVHcePGDcTFxfXZOEwmE5599lm88MILuoxl6NChyvb58+djxYoVXsfhr1gAwOFw4PDhw9i/f78mcfgrls7OGaixaFVr1iKW+Ph4pKenK81fGRkZuHDhAnJycjp8v69fv6587hcsWIDU1FTVftXV1V5fw3STGGpqahATE4PW1la89957WLBgAQDAZrMhMjISsizDarWisrISiYmJqtfcunULBQUF2LlzJ2RZRlFRkerYEREROHfuHCZNmoTCwkIsXbq0T8VRWVmpNFOUlpZ61W/i71hu3ryptAsfOXIEY8eO1W0sAHDy5EmMHj1a1RSgx1g6O2cgx9LbOotl+vTp2LNnDxobGzFgwACcOXMGy5YtQ2xsbIfv9/Dhw1WxOBwOVFZWwmq1Ii4uDgcOHMD27du9KmtAJobVq1fj9OnT+PPPP5GRkYFVq1ahoaEBBQUFAIDs7GzMnTsXgGto2a5duxAUFASDwYDNmzcjKioKgKvqdunSJQDAypUrMWrUqA7Pt2nTJqxfvx52ux0ZGRnIyMgAABw+fBivvfYabDYbnnvuOYwbNw4fffSR7uLYvn270o45YsQIbN68udsxBFos27ZtU14/YsQIbNmyRbexAK6hlUaj0eMYAi2W4uLiDs8ZyLG89dZbKC4uRmNjIzIyMjB//nysWrUK5eXleP7551FbW4ujR49i9+7dOHDggM9iiYyMxLJlyzBv3jxIkoSMjAzMnDkTwP0/O25BQUHYuHEjnnnmGTidTsydO1e5Yfr000+xZ88e/PHHH8jJyUFmZia2bt3aZfn5PAYiIlIJjF4ZIiIKGEwMRESkwsRAREQqTAxERKTCxEBERCoBOVyVyN/GjRuHBx98EA6HA7IsIzc3F8uWLbvvLNqqqiqUlZXBZDL1YkmJtMfEQNSB0NBQZRJRTU2NsuTC/WaMX7t2DcXFxUwMpHucx0DUgcmTJ6OsrEz53Wq1Yt68eTh16hSuXbuGtWvXorGxEQCwYcMGPPLII3j88cdx+fJlJCQkIC8vD0uXLsXbb7+N06dPo7m5GYsXL9ZsRjCRL7HGQNQNiYmJcDqdyrIGH3/8MUJCQlBZWYnVq1dj//79WLNmDfbu3Yv3338fgGudnkGDBuGrr75Cc3MzFixYgGnTpilLNxAFKiYGIg85HA5s2bIFly5dgsFgQGVlZYf7nThxAr/88ovyPIC6ujpcuXKFiYECHhMDUTdYrVbIsoyYmBi88847GDp0KIqKitDa2oqJEyd2+BohBF555RXMmDGjl0tL5B0OVyXqgs1mw6ZNm7B48WJIkoS6ujoMGzYMBoMBRUVFcDqdAIDw8HDcvn1bed306dPx+eefo6WlBYBrqeWGhga/xEDkCdYYiDpgt9thNpuV4apmsxlPPfUUAGDRokVYtWoVCgsLMWPGDISFhQEAUlJSYDAYkJOTA4vFgieffBLXrl2DxWKBEALR0dF49913/RkWUbdwVBIREamwKYmIiFSYGIiISIWJgYiIVJgYiIhIhYmBiIhUmBiIiEiFiYGIiFT+AwpKko6pTNsyAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PGFe0ABcB2Gk"
},
"source": [
"# Forecasting model 1\n",
"---\n",
"The first model to forecast the next sample will be averaging the time series."
]
},
{
"cell_type": "code",
"metadata": {
"id": "Ek8JIKZX9GMR"
},
"source": [
"import numpy as np"
],
"execution_count": 246,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Q6x0oPFh_fNc"
},
"source": [
"avg_carb=np.mean(df_co2['avg'])"
],
"execution_count": 247,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "3ch3vhof_kuc"
},
"source": [
"dt_co2=df_co2['date'][1]-df_co2['date'][0]"
],
"execution_count": 248,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "XHT_ez1lADJf",
"outputId": "966d32bc-6164-42f6-986d-d75ba25e42f8"
},
"source": [
"plt.plot(df_co2['date'],df_co2['avg'])\n",
"plt.plot(df_co2.iloc[-1,0]+dt_co2,avg_carb,'*')\n",
"plt.ylabel('avg')\n",
"plt.xlabel('date')"
],
"execution_count": 249,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'date')"
]
},
"metadata": {
"tags": []
},
"execution_count": 249
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "a6AsQpRjCyrG"
},
"source": [
"**Conclusion for Co2:** The model doesn't seem to be accurate once it is far away from the data trend."
]
},
{
"cell_type": "code",
"metadata": {
"id": "3eiGvahuAKGP"
},
"source": [
"avg_birth=np.mean(df_birth['n_birth'])\n",
"dt_birth = df_birth['date'][1]-df_birth['date'][0]"
],
"execution_count": 250,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "kwNB021VA2_k",
"outputId": "a5851567-6fce-48b5-a602-ad4eecb32df5"
},
"source": [
"plt.plot(df_birth['date'],df_birth['n_birth'])\n",
"plt.plot(df_birth.iloc[-1,0]+dt_birth,avg_birth,'*')\n",
"plt.ylabel('avg')\n",
"plt.xlabel('date')"
],
"execution_count": 251,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'date')"
]
},
"metadata": {
"tags": []
},
"execution_count": 251
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "CzayXKjkCv6N"
},
"source": [
"**Conclusion for N_birth:** The model doesn't seem to be accurate. However, it presents a better performance than the previous one. The hypothesis is that such data base may be close to a zero mean model (a database where the mean fluctuates around zero."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "bvuvgY_SESRV"
},
"source": [
"# Forecasting model 2\n",
"---\n",
"Let's use the average of the last three samples to forecast the next sample for both datasets"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "n2IC9zRVBjhd",
"outputId": "c750548b-b330-4d85-a0e3-dfe21975ec08"
},
"source": [
"# Forecast for CO2\n",
"avg_last3_co2=np.mean(df_co2['avg'][-4:-1])\n",
"plt.plot(df_co2['date'],df_co2['avg'])\n",
"plt.plot(df_co2.iloc[-1,0]+dt_co2,avg_last3_co2,'*')\n",
"plt.ylabel('avg')\n",
"plt.xlabel('date')\n"
],
"execution_count": 252,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'date')"
]
},
"metadata": {
"tags": []
},
"execution_count": 252
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "QX8hEqZCEoKE",
"outputId": "08ee7ab5-135c-4894-d5ab-156399537de2"
},
"source": [
"# Forecast for Birth\n",
"avg_last3_birth=np.mean(df_birth['n_birth'][-4:-1])\n",
"plt.plot(df_birth['date'],df_birth['n_birth'])\n",
"plt.plot(df_birth.iloc[-1,0]+dt_birth,avg_last3_birth,'*')\n",
"plt.ylabel('N_birth')\n",
"plt.xlabel('date')"
],
"execution_count": 253,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'date')"
]
},
"metadata": {
"tags": []
},
"execution_count": 253
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "j0ja3gzOGj_k"
},
"source": [
"**Conclusion on model 2:** Model two seems to have a more accurate forecasting than model 1. Yet, we are going to develop even better models for several samples instead of a single sample."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KZt3V8KxHm-y"
},
"source": [
"# Forecasting model 3\n",
"---\n",
"Forecast the samples using moving average"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "zNJy-8RWF3DU",
"outputId": "e7a6a58a-62cc-42fa-cd18-8204b06475a4"
},
"source": [
"# Forecasting for Co2\n",
"df_moving_avg_co2=df_co2.rolling(5).mean()\n",
"plt.plot(df_co2['date'],df_co2['avg'])\n",
"plt.plot(df_moving_avg_co2['date'],df_moving_avg_co2['avg'])"
],
"execution_count": 254,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fda275c9cf8>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 254
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "fmxMBHKPIbhZ"
},
"source": [
"**Comment:** there was not much change in the data once 1) we used only 5 samples in the moving average, 2) the data is relatively smooth."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "8CKYi832IBGJ",
"outputId": "e820f526-f171-4740-9b5d-419851524f52"
},
"source": [
"# Forecasting for N_birth\n",
"df_moving_avg_birth=df_birth.rolling(5).mean()\n",
"#df_moving_avg_birth.head()\n",
"plt.plot(df_birth['date'],df_birth['n_birth'])\n",
"plt.plot(df_birth['date'],df_moving_avg_birth['n_birth'])"
],
"execution_count": 255,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fda2753ca90>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 255
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Trt_CrCJIPxT"
},
"source": [
""
],
"execution_count": 255,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "JDjOOYcCNZ4h"
},
"source": [
"# Forecasting Model 4\n",
"---\n",
"Let's decompose the datasets to split into trend, seasonal and residual."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 175
},
"id": "e4DJrtIYMor2",
"outputId": "0c171d08-ab4e-4b42-c579-b5e846ed9129"
},
"source": [
"!pip install statsmodels==v0.11.0rc2\n",
"import statsmodels\n",
"statsmodels.__version__"
],
"execution_count": 256,
"outputs": [
{
"output_type": "stream",
"text": [
"Requirement already satisfied: statsmodels==v0.11.0rc2 in /usr/local/lib/python3.6/dist-packages (0.11.0rc2)\n",
"Requirement already satisfied: numpy>=1.14 in /usr/local/lib/python3.6/dist-packages (from statsmodels==v0.11.0rc2) (1.19.5)\n",
"Requirement already satisfied: scipy>=1.0 in /usr/local/lib/python3.6/dist-packages (from statsmodels==v0.11.0rc2) (1.4.1)\n",
"Requirement already satisfied: patsy>=0.5 in /usr/local/lib/python3.6/dist-packages (from statsmodels==v0.11.0rc2) (0.5.1)\n",
"Requirement already satisfied: pandas>=0.21 in /usr/local/lib/python3.6/dist-packages (from statsmodels==v0.11.0rc2) (1.1.5)\n",
"Requirement already satisfied: six in /usr/local/lib/python3.6/dist-packages (from patsy>=0.5->statsmodels==v0.11.0rc2) (1.15.0)\n",
"Requirement already satisfied: pytz>=2017.2 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.21->statsmodels==v0.11.0rc2) (2018.9)\n",
"Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.21->statsmodels==v0.11.0rc2) (2.8.1)\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"application/vnd.google.colaboratory.intrinsic+json": {
"type": "string"
},
"text/plain": [
"'0.11.0rc2'"
]
},
"metadata": {
"tags": []
},
"execution_count": 256
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ZwJrdDy0QVv6"
},
"source": [
"# Importing the lib to decompose a dataset\n",
"from statsmodels.tsa.seasonal import seasonal_decompose"
],
"execution_count": 257,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
},
"id": "KOhgKfnhNlC-",
"outputId": "6520ea8d-17d4-42ae-d0a1-f4d9031fc4c5"
},
"source": [
"# Decomposition of CO2 dataset\n",
"result_co2=seasonal_decompose(df_co2.set_index('date'),period=35)\n",
"result_co2.plot();"
],
"execution_count": 258,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ryNGttkGQ0oH"
},
"source": [
"**Conclusion:** The period of 35 samples seems to work very well for the CO2 dataset. It was possible to split the trend and seasonsal properly. Finaly, the Residual is lower than 1% from the nominal measurements. "
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
},
"id": "KBWM-qwZOrNQ",
"outputId": "367d470e-909c-497a-a8e7-215652c93cff"
},
"source": [
"# Decomposition of Birth dataset\n",
"result_birth=seasonal_decompose(df_birth.set_index('date'),period=35)\n",
"result_birth.plot();"
],
"execution_count": 259,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "BTn8N7L6RVLn"
},
"source": [
"**Conclusion:** It was possible to remove a trend and some seasonal effect. The residual is not low as in the previous events. The hypothesis is that the number of birth is as not seasonal as the CO2 dataet."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "pF1hjdnOSSQw"
},
"source": [
"# Forecasting Model 5\n",
"---\n",
"To forecast time series, we use some stats characteristics of the series as average, variance and autocorrelation. For such purpose, it is important that such stats do not change along the series.\n",
"Now we are going to check stationarity."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "U3OWi9n1P_R7",
"outputId": "703b73e9-6a7d-4b37-af9e-8ed9451a1fa7"
},
"source": [
"# Histogram for the CO2 \n",
"df_co2['avg'].hist()"
],
"execution_count": 260,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fda2857fba8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 260
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAD4CAYAAAD1jb0+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAWXElEQVR4nO3de3BU9eH+8eewIZQASUiaS6EZW1I70qjYaW1YO0XZmIQWrAsNXrBjzWjTztBJSSCKOjC0Q4AyXPJHpzPdMq1xqE7bCBsHKMQkQhiujsLgaLVl0CEyJvtzYQmBSsjm/P5AViiEXZa9fb6+X/9ATs7Z8/Dh8LD57LlYtm3bAgAYZ0SyAwAAokOBA4ChKHAAMBQFDgCGosABwFBpidzZ0NCQgsHEnfTicFgJ3V80yBgbZIwNMsZGrDOOHOm45vKEFngwaCsQOJew/WVnZyR0f9EgY2yQMTbIGBuxzpiXN+6ay5lCAQBDUeAAYCgKHAAMRYEDgKEocAAwFAUOAIYKexrhsWPHVFdXF/q6u7tbtbW1crvdqqur04kTJzRx4kQ1NTUpKysrrmEBAJ8L+w580qRJam1tVWtrqzZt2qTRo0ervLxcHo9HTqdTbW1tcjqd8ng8icgLAPjMDU2h7Nu3T0VFRZo4caI6OjrkdrslSW63W+3t7XEJCAC4thu6EnPr1q2aNWuWJMnv9ys/P1+SlJeXJ7/fH3Z7h8NSdnZGFDGj43CMSOj+onHdjCOGNNIxMrGBJF0IXpCGPv+/3fhxTBFkjA0yfi7iAh8YGFBnZ6cWLlx41fcsy5JlWWFfg0vpr3a9jHl547Ts4LLEBpK07HvL9P9Ongl9bfo4pgoyxsYXMeNNX0rf1dWlkpISffnLX5Yk5ebmyufzSZJ8Pp9ycnJiEBMAEKmIC3zr1q2aOXNm6GuXyyWv1ytJ8nq9Kisri306AMCwIirwc+fOae/evaqoqAgtq6mp0Z49e1RRUaG9e/eqpqYmbiEBAFeLaA48IyNDBw4cuGLZ+PHj1dzcHJdQAIDwuBITAAxFgQOAoShwADAUBQ4AhqLAAcBQFDgAGIoCBwBDUeAAYCgKHAAMRYEDgKEocAAwFAUOAIaiwAHAUBQ4ABiKAgcAQ1HgAGAoChwADEWBA4ChKHAAMBQFDgCGiqjA+/r6VFtbqxkzZuiHP/yhDh06pEAgoOrqalVUVKi6ulqnT5+Od1YAwGUiKvDGxkb94Ac/0Pbt29Xa2qri4mJ5PB45nU61tbXJ6XTK4/HEOysA4DJhC/zMmTN64403VFVVJUlKT09XZmamOjo65Ha7JUlut1vt7e3xTQoAuEJauBU++ugj5eTk6Nlnn9V7772nkpISPf/88/L7/crPz5ck5eXlye/3h92Zw2EpOzvj5lNHyOEYkdD9RSNVM16eKVUzXo6MsUHG2EhUxrAFPjg4qHfffVdLlizRlClTtHz58qumSyzLkmVZYXcWDNoKBM5Fn/YGZWdnJHR/0bhexry8cQlO87nLM5k+jqmCjLHxRcw4XBeEnUIpLCxUYWGhpkyZIkmaMWOG3n33XeXm5srn80mSfD6fcnJyYhYWABBe2ALPy8tTYWGhjh07Jknat2+fiouL5XK55PV6JUler1dlZWXxTQoAuELYKRRJWrJkiRYtWqQLFy6oqKhIK1eu1NDQkBYsWKCWlhZNmDBBTU1N8c4KALhMRAU+efJkbdq06arlzc3NMQ8EAIgMV2ICgKEocAAwFAUOAIaiwAHAUBQ4ABiKAgcAQ0V0GmEqyBo/Sulp6Te83c1ejj4wOKDTp87f1GsAQDwYU+DpaeladnBZwve77HvLJFHgAFIPUygAYCgKHAAMRYEDgKEocAAwFAUOAIaiwAHAUBQ4ABjKmPPAk+XC0IW4P5symc++vJZr/ZkTlZELp4DIUeBhjBwxMikXEEmXLiJKvOT/mSlwIBJMoQCAoShwADAUBQ4AhqLAAcBQEX2I6XK5NGbMGI0YMUIOh0ObNm1SIBBQXV2dTpw4oYkTJ6qpqUlZWVnxzgsA+EzE78Cbm5vV2tqqTZs2SZI8Ho+cTqfa2trkdDrl8XjiFhIAcLWop1A6OjrkdrslSW63W+3t7TELBQAIL+LzwJ988klZlqWHH35YDz/8sPx+v/Lz8yVJeXl58vv9YV/D4bCUnZ0RfVp8IURzjDgcI1L+2CJjbJDxcxEV+Msvv6yCggL5/X5VV1dr0qRJV3zfsixZlhX2dYJBW4HAuaiCptrVioifaI6R7OyMqI+tRCFjbHwRMw7XfxFNoRQUFEiScnNzVV5eriNHjig3N1c+n0+S5PP5lJOTE6OoAIBIhC3wc+fOqb+/P/T7PXv26NZbb5XL5ZLX65Ukeb1elZWVxTcpAOAKYadQ/H6/5s+fL0kKBoOaNWuWpk2bpjvuuEMLFixQS0uLJkyYoKampriHBQB8LmyBFxUV6dVXX71q+fjx49Xc3ByXUACA8LgSEwAMRYEDgKEocAAwFA90AJIsa/wopaelJ3y/PP3IfBQ4kGTpaelJeQISTz8yH1MoAGAo3oEjpdzMQ6Rv5nYLTCfARBQ4UkqyHqjMdAJMxBQKABiKAgcAQ1HgAGAoChwADEWBA4ChKHAAMBQFDgCG4jxwQDd3AdGN4NmuiCUKHFDyLiCSLl1EBNw4plAAwFAUOAAYigIHAENFXODBYFBut1u/+MUvJEnd3d2aO3euysvLtWDBAg0MDMQtJADgahF/iPniiy+quLhY/f39kqQ1a9boiSee0MyZM7V06VK1tLRo3rx5cQsKILaGO/MmEWfKcPve2IiowHt6erRz50798pe/1AsvvCDbtrV//36tXbtWkjR79mz9/ve/p8ABgyT/zBsK/GZFVOArVqxQQ0ODzp49K0k6deqUMjMzlZZ2cfPCwkL19vaGfR2Hw1J2dsZNxAXwf0W0XeBwjEj5HklUxrAF/vrrrysnJ0e33367Dhw4cFM7CwZtBQLnotqWCyCA/1ui7YLs7Iyot02UWGccrv/CFvhbb72lzs5OdXV16fz58+rv71djY6P6+vo0ODiotLQ09fT0qKCgIGZhAQDhhT0LZeHCherq6lJnZ6fWrVunqVOnau3atSotLdWOHTskSZs3b5bL5Yp7WADA56I+D7yhoUF/+ctfVF5erkAgoLlz58YyFwAgjBu6F0ppaalKS0slSUVFRWppaYlLKABAeFyJCQCGosABwFAUOAAYigIHAENR4ABgKAocAAxFgQOAoShwADAUBQ4AhqLAAcBQFDgAGIoCBwBD3dDNrAAgFoZ7Hmekot32QvCCRjpGRr3fG3F5xng9A5QCB5BwyXoe57LvLUvafuPxDFCmUADAUBQ4ABiKAgcAQ1HgAGAoChwADEWBA4ChKHAAMFTY88DPnz+vxx57TAMDAwoGg6qsrFRtba26u7tVX1+vQCCgkpISrV69Wunp6YnIDABQBO/A09PT1dzcrFdffVVer1e7d+/W4cOHtWbNGj3xxBN67bXXlJmZqZaWlkTkBQB8JmyBW5alMWPGSJIGBwc1ODgoy7K0f/9+VVZWSpJmz56tjo6O+CYFAFwhokvpg8Gg5syZo+PHj2vevHkqKipSZmam0tIubl5YWKje3t6wr+NwWMrOzri5xABgoHh0X0QF7nA41Nraqr6+Ps2fP1/Hjh2LamfBoK1A4FxU297MjW8AINmi7T5p+P67obNQMjMzVVpaqsOHD6uvr0+Dg4OSpJ6eHhUUFEQdDgBw48IW+MmTJ9XX1ydJ+vTTT7V3714VFxertLRUO3bskCRt3rxZLpcrvkkBAFcIO4Xi8/m0ePFiBYNB2batGTNmaPr06frGN76huro6NTU1afLkyZo7d24i8gIAPhO2wG+77TZ5vd6rlhcVFXHqIAAkEVdiAoChKHAAMBQFDgCGosABwFAUOAAYigIHAENR4ABgKAocAAxFgQOAoShwADAUBQ4AhqLAAcBQFDgAGIoCBwBDUeAAYCgKHAAMRYEDgKEocAAwFAUOAIaiwAHAUGEfavzxxx/r6aeflt/vl2VZeuihh/Szn/1MgUBAdXV1OnHihCZOnKimpiZlZWUlIjMAQBG8A3c4HFq8eLG2bdumv/3tb3rppZd09OhReTweOZ1OtbW1yel0yuPxJCIvAOAzYQs8Pz9fJSUlkqSxY8dq0qRJ6u3tVUdHh9xutyTJ7Xarvb09vkkBAFe4oTnwjz76SP/61780ZcoU+f1+5efnS5Ly8vLk9/vjEhAAcG1h58AvOXv2rGpra/Xcc89p7NixV3zPsixZlhX2NRwOS9nZGTeeEgAMF4/ui6jAL1y4oNraWj3wwAOqqKiQJOXm5srn8yk/P18+n085OTlhXycYtBUInIsqaF7euKi2A4BUEG33ScP3X9gpFNu29fzzz2vSpEmqrq4OLXe5XPJ6vZIkr9ersrKyqMMBAG5c2Hfgb775plpbW/XNb35TDz74oCSpvr5eNTU1WrBggVpaWjRhwgQ1NTXFPSwA4HNhC/y73/2u3n///Wt+r7m5OeaBAACR4UpMADAUBQ4AhqLAAcBQFDgAGIoCBwBDUeAAYCgKHAAMRYEDgKEocAAwFAUOAIaiwAHAUBQ4ABiKAgcAQ1HgAGAoChwADEWBA4ChKHAAMBQFDgCGosABwFAUOAAYigIHAEOFLfBnn31WTqdTs2bNCi0LBAKqrq5WRUWFqqurdfr06biGBABcLWyBz5kzRxs2bLhimcfjkdPpVFtbm5xOpzweT9wCAgCuLWyB33333crKyrpiWUdHh9xutyTJ7Xarvb09PukAAMNKi2Yjv9+v/Px8SVJeXp78fn9E2zkclrKzM6LZJQAYLR7dF1WBX86yLFmWFdG6waCtQOBcVPvJyxsX1XYAkAqi7T5p+P6L6iyU3Nxc+Xw+SZLP51NOTk7UwQAA0YmqwF0ul7xeryTJ6/WqrKwspqEAAOGFLfD6+no98sgj+uCDDzRt2jT94x//UE1Njfbs2aOKigrt3btXNTU1icgKALhM2DnwdevWXXN5c3NzzMMAACLHlZgAYCgKHAAMRYEDgKEocAAwFAUOAIaiwAHAUBQ4ABiKAgcAQ1HgAGAoChwADEWBA4ChKHAAMBQFDgCGosABwFAUOAAYigIHAENR4ABgKAocAAxFgQOAoShwADAUBQ4AhrqpAu/q6lJlZaXKy8vl8XhilQkAEIGoCzwYDOq3v/2tNmzYoK1bt2rLli06evRoLLMBAK4j6gI/cuSIbrnlFhUVFSk9PV0zZ85UR0dHLLMBAK7Dsm3bjmbD7du3a/fu3WpsbJQkeb1eHTlyREuXLo1pQADAtfEhJgAYKuoCLygoUE9PT+jr3t5eFRQUxCQUACC8qAv8jjvu0Icffqju7m4NDAxo69atcrlcscwGALiOtKg3TEvT0qVL9dRTTykYDOonP/mJbr311lhmAwBcR9QfYgIAkosPMQHAUBQ4ABgq6jnwZDt//rwee+wxDQwMKBgMqrKyUrW1taHvL1++XK+88ooOHTokSRoYGNDTTz+td955R9nZ2Vq/fr2++tWvJiXj4sWLdfDgQY0bN06StGrVKk2ePFm2bauxsVG7du3Sl770Ja1atUolJSVJyWjbtpqamrR9+3aNGDFCjz76qB5//PGUyjhv3jydPXtWkuT3+3XnnXfqD3/4Q0pl3Ldvn1avXq2hoSFlZGRo1apVuuWWW1LqeLyU8cKFCyopKVFjY6PS0tKSMo6XXPpcraCgQH/84x/V3d2t+vp6BQIBlZSUaPXq1UpPT0/KOA6XcePGjWpubtbx48e1b98+5eTkSFJ8x9E21NDQkN3f32/btm0PDAzYVVVV9qFDh2zbtu0jR47YixYtsu+6667Q+hs3brSXLFli27Ztb9myxf71r3+dtIzPPPOM/c9//vOq9Xfu3Gk/+eST9tDQkH3o0CG7qqoqaRlbWlrshoYGOxgM2rZt25988knKZbzcr371K3vz5s0pl7GiosI+evSobdsXj8Fnnnkm9PtUOB7ffPNNe9q0afaxY8ds27btpqYm++9//7tt28kZx0v+/Oc/2/X19XZNTY1t27ZdW1trb9myxbZt216yZIn917/+1bbt5IzjcBnfeecdu7u7254+fbrt9/tD68VzHI2dQrEsS2PGjJEkDQ4OanBwUJZlKRgMavXq1WpoaLhi/c7OTs2ePVuSVFlZqX379smO8+e3w2UcTkdHh9xutyzL0l133aW+vj75fL6kZHz55Zc1f/58jRhx8RDJzc1NuYyX9Pf3a//+/br//vtTMmN/f3/o1/z8fEmpczw6HA6NHDlSX//61yVJ3//+99XW1iYpOeMoST09Pdq5c6eqqqokXXwHu3//flVWVkqSZs+eHbptRzLG8VoZJelb3/rWNd/9x3McjS1w6eKPMA8++KDuuece3XPPPZoyZYo2btyosrKy0D+US3p7e/WVr3xF0sVTIMeNG6dTp04lJaMkrV+/Xg888IBWrFihgYGBUMbCwsLQtoWFhert7U1Kxu7ubm3btk1z5szRU089pQ8//DDlMl7S3t4up9OpsWPHplzGxsZG1dTUaNq0aWptbVVNTU0oYyocj3feeaeCwaDefvttSRdvkXHpAr1kjeOKFSvU0NAQevNw6tQpZWZmKi0t7aocyRrH/814PfEcR6ML3OFwqLW1Vbt27dKRI0f0xhtvaPv27frpT3+a7Ggh/5vx3//+t+rr67V9+3a98sorOn36dNJvxXutjAMDAxo1apQ2bdqkhx56SM8991zKZbxky5YtmjlzZhLTXXStjC+88II8Ho+6uro0Z84crVy5MqUy/uc//9G6deu0cuVKVVVVacyYMRGVUry8/vrrysnJ0e233560DOGkUkajC/ySzMxMlZaW6sCBAzp+/LgqKirkcrn03//+V+Xl5ZIuXvr/8ccfS7r44+OZM2c0fvz4hGfcvXu38vPzZVmW0tPTNWfOnNC7n/+9PUFPT09Cb09wecaCgoLQ2JWXl+v9999PuYySdPLkSb399tu67777QuukSsauri699957oZ8WfvSjH4U+VE+l4/Hb3/62XnrpJbW0tOjuu+/W1772tVDGRI/jW2+9pc7OTrlcLtXX12v//v1qbGxUX1+fBgcHr8qRjHG8VsZFixYNu348x9HYAj958qT6+vokSZ9++qn27t2rkpIS7dmzR52dners7NTo0aP12muvSZJcLpc2b94sSdqxY4emTp163fnoeGWcNGlSaP7Ltm21t7eHrmB1uVzyer2ybVuHDx/WuHHjrpoKSlTG+++/XwcOHJAkHTx4MPSPOpUyShf/Lu+77z6NGjUqtH6qZCwuLtaZM2f0wQcfSJL27Nmj4uLiUMZUOR79fr+ki2dq/elPf9IjjzwSypjocVy4cKG6urrU2dmpdevWaerUqVq7dq1KS0u1Y8cOSdLmzZtDt+1IxjheK+OaNWuGXT+e42jsaYQ+n0+LFy9WMBiUbduaMWOGpk+fPuz6VVVVamhoUHl5ubKysrR+/fqkZXz88cd16tQp2bat2267Tb/5zW8kSffee6927dql8vJyjR49WitWrEhaxu985ztatGiRmpublZGREbptcCpllKRt27bp5z//+RXrp1LG5cuXq7a2VpZlKSsrK5QllY7H3/3ud9q5c6eGhob06KOPyul0SkrOOA6noaFBdXV1ampq0uTJkzV37lxJyRnH4bz44ovasGGDPvnkE/34xz/Wvffeq8bGxriOI5fSA4ChjJ1CAYAvOgocAAxFgQOAoShwADAUBQ4AhqLAAcBQFDgAGOr/AxPG5Zb9JJxRAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "T_DILi-qTPf3"
},
"source": [
"**Comments:** The ideal situation for stationarity is that the distribution is gaussian. Yet, the Co2 is nearly uniform with a left skew. This is a indicative of non-stationarity.\n",
"---\n",
"The next approach is to verify if the stats vary along the series. For such, we are going to divide the dataset in two and apply the same analysis."
]
},
{
"cell_type": "code",
"metadata": {
"id": "0jRU4IqZTJIp"
},
"source": [
"co2_half_size = int(len(df_co2)/2)\n",
"co2_values = df_co2['avg'].values"
],
"execution_count": 261,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "KYLSK9ziO7em"
},
"source": [
"co2_part1, co2_part2 = co2_values[0:co2_half_size], co2_values[co2_half_size:]"
],
"execution_count": 262,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "oZ8u0MCFQHqU",
"outputId": "584fc568-8135-4f1b-daab-ac61c3b11016"
},
"source": [
"print('Mean Co2 part_1:',co2_part1.mean())\n",
"print('Mean Co2 part_2:',co2_part2.mean())\n",
"print('Variance Co2 part_1:',co2_part1.var())\n",
"print('Variance Co2 part_2:',co2_part2.var())"
],
"execution_count": 263,
"outputs": [
{
"output_type": "stream",
"text": [
"Mean Co2 part_1: 352.31550420168065\n",
"Mean Co2 part_2: 387.816359832636\n",
"Variance Co2 part_1: 73.90219533401597\n",
"Variance Co2 part_2: 151.542490933282\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "jDYNdfmBQtHr"
},
"source": [
"There is a variance increase about 100% from the first to the second sample. This is an indicative of non-stationarity.\n",
"---\n",
"Now we will proceed with the same approach to N_birth dataset."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "qXSce20qQT_3",
"outputId": "68698a6f-8eb3-4b71-87c4-ab6e98ad3a85"
},
"source": [
"birth_half_size = int(len(df_birth)/2)\n",
"birth_values = df_birth['n_birth'].values\n",
"birth_part1, birth_part2 = birth_values[0:birth_half_size], birth_values[birth_half_size:]\n",
"print('Mean birth part_1:',birth_part1.mean())\n",
"print('Mean birth part_2:',birth_part2.mean())\n",
"print('Variance birth part_1:',birth_part1.var())\n",
"print('Variance birth part_2:',birth_part2.var())"
],
"execution_count": 264,
"outputs": [
{
"output_type": "stream",
"text": [
"Mean birth part_1: 39.76373626373626\n",
"Mean birth part_2: 44.185792349726775\n",
"Variance birth part_1: 49.21341021615746\n",
"Variance birth part_2: 48.708650601690096\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "eQMbpnmIf1h_"
},
"source": [
"Both the mean and the variance are very close on both samples. It means that the dataset is a stationary-like behaviour.\n",
"From now on we need to consider the non-statinarity of the CO2 data set on the analysis.\n",
"\n",
"\n",
"---\n",
"\n",
"\n",
"Actually, there is not a clear limit for the difference between the mean and variance of the two samples. For such purpose, we can use the adf (or adfuller) test to verify the non-stationarity of the serie. The more negative the first result is the higher the certainty that the series is stationay. When te result for the p-value hypothesis tests is lower that 0.5, we conside the series is stationary."
]
},
{
"cell_type": "code",
"metadata": {
"id": "BVNUjJobfkAe"
},
"source": [
"from statsmodels.tsa.stattools import adfuller"
],
"execution_count": 265,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "6N61dt44fkDr",
"outputId": "444e34b2-ef0b-4274-fbfd-72f96651b3b6"
},
"source": [
"result_adf_co2=adfuller(df_co2['avg'].values)\n",
"print('Stats adf for CO2:',result_adf_co2[0])\n",
"print('p-value %f' %result_adf_co2[1])"
],
"execution_count": 266,
"outputs": [
{
"output_type": "stream",
"text": [
"Stats adf for CO2: 3.0368288291670114\n",
"p-value 1.000000\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "uJAAJ8LniNU5",
"outputId": "13a88bae-f077-4aa7-85bd-20baec0680e7"
},
"source": [
"result_adf_birth=adfuller(df_birth['n_birth'].values)\n",
"print('Stats adf for n_birth:',result_adf_birth[0])\n",
"print('p-value %f' %result_adf_birth[1])"
],
"execution_count": 267,
"outputs": [
{
"output_type": "stream",
"text": [
"Stats adf for n_birth: -4.808291253559763\n",
"p-value 0.000052\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "b1wdwp66lV41"
},
"source": [
"**Conclusions:** The Co2 and Birth series can be considered as non-stationary and stationary, respectively."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "c0hgRM1Hs_XN"
},
"source": [
"# The time derivative approach applied in the n_births dataset (Original from the author)\n",
"To forecast a time series, it is important to make sure such series is stationary. Otherwise, it will be necessary to take in account (during the forecasting) the characteristics of the time series that make it non-stationary. Supposing such time dependency is linear, we can differentiate the series, make the forecasting, and then integrate the series + forecast in time.\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "TwVOYwdvroxq"
},
"source": [
"# The discrete differentiation can be implemented as following:\n",
"df_birth_diff=df_birth['n_birth'].diff()\n",
"# Also, this new series is one sample shorter than the original. \n",
"#By default, the dunction diff appends a NaN sample which will be changed \n",
"# (or approximated) to replicate the second sample of the sedies\n",
"df_birth_diff[0]=df_birth_diff[1]\n"
],
"execution_count": 268,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "wG10dyJOkQ-B"
},
"source": [
"# Making the plots better to read using seaborn\n",
"import seaborn as sns\n",
"%matplotlib inline\n",
"from matplotlib import pyplot as plt\n",
"sns.set_palette('Accent')\n",
"sns.set_style('darkgrid')\n",
"\n",
"# A function to plot the sales, its first and second derivatives\n",
"def plot_func_diff(x,y1,y2,title,y1_label,y2_label,x_label):\n",
" plt.figure(figsize=(12,8))\n",
" ax1=plt.subplot(2,1,1)\n",
" ax1.set_title(title,fontsize=18,loc='left')\n",
" sns.lineplot(x=x,y=y1)\n",
" ax1.set_ylabel(y1_label)\n",
" ax2=plt.subplot(2,1,2)\n",
" sns.lineplot(x=x,y=y2)\n",
" ax2.set_ylabel(y2_label)\n",
" ax2.set_xlabel(x_label)\n",
" ax2=ax2"
],
"execution_count": 269,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 517
},
"id": "jwI0RS53y02Z",
"outputId": "27aa5363-a024-48f4-a525-f4eeda5a6701"
},
"source": [
"plot_func_diff(df_birth['date'],df_birth['n_birth'],df_birth_diff,\n",
" 'Removal of time linear-trend from N_birth series',\n",
" 'Original N_births','Diff N_Births','Date'\n",
" )"
],
"execution_count": 270,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RxiNSRRF3fQh"
},
"source": [
"**Measuring the performance increase for expected values :**"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "__kWxjBaz0ZC",
"outputId": "0af2c1e5-8209-4155-f8e9-480915d2dcc4"
},
"source": [
"# Indicators of series stationarity\n",
"result_adf_birth_diff=adfuller(df_birth_diff.values)\n",
"print('Mean birth diff:',df_birth_diff.mean())\n",
"print('Variance birth diff:',df_birth_diff.var())\n",
"print('Stats adf for n_birth_diff:',result_adf_birth_diff[0])\n",
"print('p-value %f' %result_adf_birth_diff[1])"
],
"execution_count": 271,
"outputs": [
{
"output_type": "stream",
"text": [
"Mean birth diff: 0.03287671232876712\n",
"Variance birth diff: 84.24616889959364\n",
"Stats adf for n_birth_diff: -12.60801635575279\n",
"p-value 0.000000\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "iI-H0j9v2Fmw"
},
"source": [
""
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "WSmK3Z6P1CSh",
"outputId": "3ebca4b0-3900-444b-afad-1472fa970c91"
},
"source": [
"# Split dataset\n",
"birth_diff_half_size = int(len(df_birth_diff)/2)\n",
"birth_diff_values = df_birth_diff.values\n",
"birth_diff_part1, birth_diff_part2 = birth_diff_values[0:birth_diff_half_size], birth_diff_values[birth_diff_half_size:]\n",
"print('Mean birth diff part_1:',birth_diff_part1.mean())\n",
"print('Mean birth diff part_2:',birth_diff_part2.mean())\n",
"print('Variance birth diff part_1:',birth_diff_part1.var())\n",
"print('Variance birth diff part_2:',birth_diff_part2.var())"
],
"execution_count": 272,
"outputs": [
{
"output_type": "stream",
"text": [
"Mean birth diff part_1: 0.027472527472527472\n",
"Mean birth diff part_2: 0.03825136612021858\n",
"Variance birth diff part_1: 92.0377067986958\n",
"Variance birth diff part_2: 76.03678819911016\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 175
},
"id": "nmVFiahw1JYI",
"outputId": "a6a3da9b-9113-4866-ab5b-9253be35c5ef"
},
"source": [
"# Building a results Dataframe\n",
"labels=['births mean',\n",
" 'births var',\n",
" 'stats adf',\n",
" 'p-value'\n",
" ]\n",
"original=[df_birth['n_birth'].mean(),\n",
" df_birth['n_birth'].var(),\n",
" result_adf_birth[0],\n",
" result_adf_birth[1]\n",
" ]\n",
"diff=[df_birth_diff.mean(),\n",
" df_birth_diff.var(),\n",
" result_adf_birth_diff[0],\n",
" result_adf_birth_diff[1],\n",
" ]\n",
"\n",
"df_birth_performance_change=pd.DataFrame(data={'Stationarity_indicator':labels,'births':original,'births diff':diff},index=np.arange(0,4))\n",
"df_birth_performance_change['change (%)']=100*((df_birth_performance['births diff']-df_birth_performance['births'])/df_birth_performance['births']).round(decimals=4)\n",
"\n",
"df_birth_performance_change"
],
"execution_count": 273,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Stationarity_indicator</th>\n",
" <th>births</th>\n",
" <th>births diff</th>\n",
" <th>change (%)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>births mean</td>\n",
" <td>41.980822</td>\n",
" <td>3.287671e-02</td>\n",
" <td>-99.92</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>births var</td>\n",
" <td>53.996884</td>\n",
" <td>8.424617e+01</td>\n",
" <td>56.02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>stats adf</td>\n",
" <td>-4.808291</td>\n",
" <td>-1.260802e+01</td>\n",
" <td>162.21</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>p-value</td>\n",
" <td>0.000052</td>\n",
" <td>1.679148e-23</td>\n",
" <td>-100.00</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Stationarity_indicator births births diff change (%)\n",
"0 births mean 41.980822 3.287671e-02 -99.92\n",
"1 births var 53.996884 8.424617e+01 56.02\n",
"2 stats adf -4.808291 -1.260802e+01 162.21\n",
"3 p-value 0.000052 1.679148e-23 -100.00"
]
},
"metadata": {
"tags": []
},
"execution_count": 273
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "FEJwv-EQD8Rx"
},
"source": [
"**Comments:** According to the previous discussed criteria, all the indicators for stationarity have improved. The men has changed to a value closer to zero by changing in -99.92%, the stats adf has changed to a value even more negative by 162.21%, and the p-value diminished to negligible value near zero."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KwvPccDdFMG2"
},
"source": [
"# The time derivative approach applied in the CO2 dataset (Original from the author)\n",
"\n",
"\n",
"\n",
"---\n",
"\n",
"\n",
"A treatment simillar to the previous one is applied to the CO2 dataset.\n"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "h2ax3yJy7UR6",
"outputId": "831c197f-d8f7-4e85-9736-b31f6566cd04"
},
"source": [
"# The discrete differentiation \n",
"df_co2_diff=df_co2['avg'].diff()\n",
"# Replace the first value from NaN to the folling one\n",
"df_co2_diff[0]=df_co2_diff[1]\n",
"df_co2_diff"
],
"execution_count": 274,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0 0.70\n",
"1 0.70\n",
"2 0.33\n",
"3 0.39\n",
"4 0.43\n",
" ... \n",
"472 0.06\n",
"473 -0.81\n",
"474 -1.66\n",
"475 -1.26\n",
"476 0.22\n",
"Name: avg, Length: 477, dtype: float64"
]
},
"metadata": {
"tags": []
},
"execution_count": 274
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 517
},
"id": "g2OMj44RDJk5",
"outputId": "2290b77d-8fec-4e32-9f31-3a02e45178dc"
},
"source": [
"# Plot both series\n",
"plot_func_diff(df_co2['date'],df_co2['avg'],df_co2_diff,\n",
" 'Removal of time linear-trend from CO2 series',\n",
" 'CO2 AVG','CO2 AVG diff','date')"
],
"execution_count": 275,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ithaleg7HBYd"
},
"source": [
"# Results adf\n",
"result_adf_co2_diff=adfuller(df_co2_diff.values)"
],
"execution_count": 276,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 175
},
"id": "Gugs7UJ-HVYr",
"outputId": "32585aa4-34b2-4fb8-fb75-a71ef2ee8c29"
},
"source": [
"# Building a results Dataframe\n",
"labels_CO2=['CO2 AVG mean',\n",
" 'CO2 AVG var',\n",
" 'stats adf',\n",
" 'p-value'\n",
" ]\n",
"original_CO2=[df_co2['avg'].mean(),\n",
" df_co2['avg'].var(),\n",
" result_adf_co2[0],\n",
" result_adf_co2[1]\n",
" ]\n",
"diff_CO2=[df_co2_diff.mean(),\n",
" df_co2_diff.var(),\n",
" result_adf_co2_diff[0],\n",
" result_adf_co2_diff[1],\n",
" ]\n",
"\n",
"df_co2_performance_change=pd.DataFrame(data={'Stationarity_indicator':labels_CO2,\n",
" 'CO2 AVG':original_CO2,'CO2 AVG diff':diff_CO2},index=np.arange(0,4))\n",
"df_co2_performance_change['change (%)']=100*((df_co2_performance_change['CO2 AVG diff']-\n",
" df_co2_performance_change['CO2 AVG'])/df_co2_performance_change['CO2 AVG']).round(decimals=4)\n",
"df_co2_performance_change"
],
"execution_count": 278,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Stationarity_indicator</th>\n",
" <th>CO2 AVG</th>\n",
" <th>CO2 AVG diff</th>\n",
" <th>change (%)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>CO2 AVG mean</td>\n",
" <td>370.103145</td>\n",
" <td>0.146541</td>\n",
" <td>-99.96</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>CO2 AVG var</td>\n",
" <td>428.778938</td>\n",
" <td>0.836462</td>\n",
" <td>-99.80</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>stats adf</td>\n",
" <td>3.036829</td>\n",
" <td>-4.428101</td>\n",
" <td>-245.81</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>p-value</td>\n",
" <td>1.000000</td>\n",
" <td>0.000265</td>\n",
" <td>-99.97</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Stationarity_indicator CO2 AVG CO2 AVG diff change (%)\n",
"0 CO2 AVG mean 370.103145 0.146541 -99.96\n",
"1 CO2 AVG var 428.778938 0.836462 -99.80\n",
"2 stats adf 3.036829 -4.428101 -245.81\n",
"3 p-value 1.000000 0.000265 -99.97"
]
},
"metadata": {
"tags": []
},
"execution_count": 278
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "TIh8_j6AKETS"
},
"source": [
"**Comments:** Due the strong slope present in the CO2 dataset, the use of time derivative to stationarize the series was pretty useful as shown in the plots. As in the previous case, the performance gain can be quantified as shown in df_birth_performance_change. The men has changed to a value closer to zero by changing in -99.96%. The stats adf has changed from a positive to a negative value, changing by -245%. Last, the p-value diminished to negligible value, reducing by -99.97%."
]
}
]
}
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