{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Time Series Decomposition Methods\n", "\n", "Feng Li\n", "\n", "School of Statistics and Mathematics\n", "\n", "Central University of Finance and Economics\n", "\n", "[feng.li@cufe.edu.cn](mailto:feng.li@cufe.edu.cn)\n", "\n", "[https://feng.li/python](https://feng.li/python)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Why Decompositions?\n", "\n", "- Consider the following statements:\n", " - \"*In February 1989 7,477,400 people were employed but in Febrary 1993 7,448,500 people were employed. The Labor market was roughly as strong in 1993 as it was in 1989.*\"\n", " - \"*In December, 2019, employment in Australia rose by 125,300 people meaning the economy was strong. But in January, 2020 employment fell by 226,400 meaning that the economy weakened.*\"\n", " - \"*Between October, 2021 and November, 2021, the number of employed people went up by 398,000 meaning that at this time many jobs were being created.*\"\n", "- What is wrong with these statements?\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Data\n", "\n", "- Employed persons aged 15-64 in Australia at a monthly frequency.\n", "- Unemployment rate also there (we will use it later)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Time Employed UnemploymentRate\n", "0 Feb-1978 5892.7 7.5\n", "1 Mar-1978 5945.8 6.6\n", "2 Apr-1978 5958.8 6.3\n", "3 May-1978 5949.3 6.3\n", "4 Jun-1978 5941.3 6.2\n" ] } ], "source": [ "import pandas as pd\n", "pd.options.mode.chained_assignment = None # disable warnings\n", "\n", "emp=pd.read_csv('data/employment.csv')\n", "print(emp.head())\n", "emp['Time'] = pd.to_datetime(emp['Time'],format = \"%b-%Y\")\n", "# See https://docs.python.org/3/library/datetime.html#datetime.date for time format. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Employment data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(emp.Time, emp.Employed, color='blue')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Employment data (last 6 years)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(emp.Time[-72:], emp.Employed[-72:], color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Decomposition\n", "\n", "- We can think of four things that may affect time series\n", " - **Trend (T):** a tendency for a time series to rise or fall (e.g. life expectancy)\n", " - **Cycles (C):** a tendency for a time series pattern to repeat itself but at *irregular* intervals (e.g. business cycles)\n", " - **Seasonality (S):** a tendency for a time series pattern to repeat over *regular* intervals, (e.g. temperature)\n", " - **Remainder (R):** idiosyncratic components (e.g. covid)\n", "- Cycle is often included in trend." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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m3t1Yg9uRgi8YIivVicuRQl2bL+IaOekuUl0pdPpDbKhqYf55ExlfnMmJY/MBSHU5aOsK8OmuBtLdTmaOzNEWcJojFi2gNJoEhEKKzkCQbTVt7Kpv55Otdexr7uTDzbX816mjUUBXIMS2mjaaOnzsa+4k3eVk4/4WPnNsMdUtXXT6Q4RCio37WyKu/cD728LbKQJORwq56S4um1nG0h31rNzTxOnjCzn7mCIUUFGUyd7GDi6bWYqI8MnWOiqKMyiI46Ha63FyakVhP+eORtP/DMaKuhMwfPFZjAHuBHKA/wKsUdrvK6VeNc+ZD9wABIFvKqVeN8PnYfjvcwB/V0rdMxDPoDm66PAF2V7bxqLtdexv7mLF7gamlGbz/PK9YYeh0dz39hYAXA5hdIGX+jYfeV43aW7DOenra/czc2QOZblphEKK6pZOUkT49mcmUJzl4V9L9nDhtBJmj84nM9UohvbVRX2BUHjBuHhYGpNGczQzqEYSIuLAmLs0G8Nqr1Up9ZuoYyYBTwInAMOBNzGWgwfYBJyD4UViCXCVUmpdT/fURhIDhz8YotMfZOO+Ft5cX82Gfc18urOBr58xjnc2VFPf5qO5048zJYVcr4vxRZmsq2rmF5dNYYbNe3NfpWVfUydr9zYhIuR53SzcWsfuhnZeWVVFuy8Yc85ZE4uYOSqXkXnpBEIhZo3KIz/DzY7advY2dnBKRQFKERZKFsGQsbppnrd7KWt/MERIKTzO+N61NZpkZqgaSZwFbFVK7eyhn/wS4CmlVBewXUS2YAgrgC1KqW0A5vypS4AeBZSmf1BKsWpPE6v2NJKV5uLJxbtYsqOBoM2TZ77XjdORwj2vbWBcUQYVRYaH6A8317K/uYttNW20+4J89s8f43am4EwRijI9nDi2gMXb6yjNTWdbTStTy7LJSXfT2hnA6RAa2nzsaejA6UihKxBk+ogcynLSaOzw0+kP0tDuZ+HWOlq6AjHpLshwU1GciTNFuOm0MZTmprGtpo3cdDenVBTEHA8waXgWk4ZnJcwLR4pECCdAT0LVaHrBYAuoKzG0I4tbROQaDO/l31JKNWD411toO8bucy/aR9/seDfRro76hnZfgE5/iKqmDt5eXx2efLl4ex2fbKuLmLBZnp/OV08dTU6am8xUJ2dOLGJYViob9rWwq76dcycVh63A7ObKb6zdxz8+2sGUsmxCIcWavU08uXgXo/LT2by/haqmTvY0dJDhcVKY6aHLH8ThEAQhpBTbatrYVtMWTkdBhhuP00FQKe68cBLZaS5eW1PF5NJsbjhlNJmprpjnjF5vR6PRDA6D1sUnIm5gL3CsUmq/iBQDtRhLatwNlCilrheRPwILlVL/NM97kO4JufOUUl81w78MzFZK3dLTfXUXX2J21rWR4XHS3BmgsqEDfzDE1ppWOv1BWjoDLFi3n221bXHPPbWigNmj89hea1iwfePMcX1mPdYVCIa7xjp8Qd7ZWM3cCYWkuyPbV0opfMEQ6/Y2k+pyMDIvnXS3AxE54JiORqMZPIZiF995wKdKqf0A1j+AiPwNeMXcTeSjjx7CNVG0dQVYsbuRSSVZPPvpHj7d1UBrV5AUgcqGDmpbu2ho9zMsK5X6Nh++YKT7Gsv8GeCMCYX88vKpZKW5UMoY0M9Oj9VE+gr7uE2a28H5U0riHicieJyOuONXWjhpNEcegymgrsLWvWc5kDV3PwusMbdfAp4Qkd9iGElUAIsBASpEZDSGYLoS+OIApX1IYs3PaWjz4XQIO+vaWbe3mZdW7mXpzno6/aGwoCnPNzwCNLT5aOkKcNG04WyoaubTXY3MnVDIl+eMIs/rJt/rYX9LJ8eNzE04MTPaSECj0Wj6gkERUCLixbC+u8kW/CsRmY7RxbfDilNKrRWRf2EYPwSAm5VSQfM6twCvY5iZP6SUWjtQzxCNvau00x9CYexXNnSwp7EDV0oKCkVuupt9TZ2MKfSSn+HB4zQmY5ZkpfY4Mz8YUuysa2NYdir/WbOPkIKqxg7q2nxsq23DHwiFl7COJkVg9uh8ZpXn8t6mGr4+dxzzJg8DjPGfrkAoLGSqWzop8Hoi0jIyP/2w80ej0WgOFe2L7yDZWtNKSXYq6/Y20+4L0tThZ09DB7vq2+kKBFm6o4Gqpg7yvG72N8efO9MT6W4Hc8bkc8GUEvY1dzIsK5UOf5DKxg7W7W1mR10bO+vaKc1JCzv8tJ87riiDrdWttPmCfHH2SFKdDmaMzGFEXjqj8tLJjbIq02g0mqHCUByDGhQ6fEEWb68Pz94HqG/rMta3GZHD5upWBBAxxm3WV7WwubqF/c1dZKUaBgR2UgQyU134AiH8QUVRZirXnFiOM0UIKkWnL8j4YZn4AiEWbqtjVL6XsYVeWruC1LV2sa+5k7LcdHbUtvHYwp28vaE6Js15XjcTijPZVd9Oc6ef3185nallOZRkp9Lc4Scz1UWa24E/GGJvY0fEKqIajUZzpJJ0GpSnpEKVXPu7hPEiYGWJyyHkez2cPK4AfzDEpv0tXDK9lNEF6YzIS2dYVipuZ0rYVHlXXTvDc1J7vfbNq6ur8AdDnDgmn+ZOv2EeHVIMz0nD7UzBFwjR4Q+SndZ/BgkajUYz0CTSoJJOQI2bNE09/OJbhJQiGDJ+6R4HLkcKy3c18IVZI/F6HCjAIYII2tmmRqPR9CNaQJmISAuwcbDTMYQowJh/pjHQ+RGJzo9IdH5E0lf5MUopFePhOOnGoICN8SR1siIiS3V+dKPzIxKdH5Ho/Iikv/NDz17UaDQazZBECyiNRqPRDEmSUUA9MNgJGGLo/IhE50ckOj8i0fkRSb/mR9IZSWg0Go3myCAZNSiNRqPRHAFoAaXRaDSaIUnSCCgRmSciG0Vki4jcPtjpGShE5CERqRaRNbawPBFZICKbzf9cM1xE5D4zj1aJyMzBS3nfIyIjROQdEVknImtF5FYzPFnzI1VEFovISjM/fmKGjxaRReZzP22u3YaIeMz9LWZ8+aA+QD8hIg4RWS4ir5j7SZsfIrJDRFaLyAoRWWqGDVh5SQoBJSIO4E8Ya1BNAq4SkUmDm6oB42FgXlTY7cBbSqkK4C1zH4z8qTB/NwJ/GaA0DhQBjJWaJwFzgJvN7yBZ86MLOFMpNQ2YDswTkTnAL4F7lVLjgAbgBvP4G4AGM/xe87ijkVuB9bb9ZM+PM5RS023znQauvCiljvofcCLwum1/PjB/sNM1gM9fDqyx7W/EWLEYoARj8jLA/cBV8Y47Gn/AixjLviR9fgDpwKfAbAzPAE4zPFx2MJa2OdHcdprHyWCnvY/zocysdM/EWDRVkjw/dgAFUWEDVl6SQoMCSoHdtv09ZliyUqy6F4fcBxSb20mTT2Z3zAxgEUmcH2Z31gqgGlgAbAUalVKW2377M4fzw4xvAvIHNMH9z++A7wLWktL5JHd+KOANEVkmIjeaYQNWXpLR1ZHGhlJKiUhSzTUQkQzgWeA2pVSz3RlwsuWHMhb/nC4iOcDzwMTBTdHgISIXAtVKqWUiMneQkzNUOEUpVSkiRcACEdlgj+zv8pIsGlQlMMK2X2aGJSv7RaQEwPy3FqE66vNJRFwYwulxpdRzZnDS5oeFUqoReAejCytHRKzGq/2Zw/lhxmcD8ZdxPjI5GbhYRHYAT2F08/2e5M0PlFKV5n81RgPmBAawvCSLgFoCVJjWOG7gSuClQU7TYPIScK25fS3GWIwVfo1pjTMHaLKp8kc8YqhKDwLrlVK/tUUla34UmpoTIpKGMR63HkNQXWEeFp0fVj5dAbytzMGGowGl1HylVJlSqhyjjnhbKXU1SZofIuIVkUxrGzgXWMNAlpfBHoQbwMG+84FNGH3sdwx2egbwuZ8EqgA/Rp/wDRj95G8Bm4E3gTzzWMGwdtwKrAZmDXb6+zgvTsHoU18FrDB/5ydxfkwFlpv5sQa40wwfAywGtgDPAB4zPNXc32LGjxnsZ+jHvJkLvJLM+WE+90rzt9aqNweyvGhXRxqNRqMZkiRLF59Go9FojjC0gNJoNBrNkEQLKI1Go9EMSbSA0mg0Gs2QRAsojUaj0QxJtIDSaDQazZBECyiNRqPRDEm0gNJoNBrNkEQLKI1Go9EMSbSA0mg0Gs2QRAsojUaj0QxJtIDSaDQazZBECyiNRqPRDEn6TUCJyEMiUi0ia2xhvxaRDSKySkSet61FUy4iHSKywvz91XbOcSKyWkS2iMh95po+iEieiCwQkc3mf25/PYtGo9FoBp7+1KAeBuZFhS0AJiulpmKszTTfFrdVKTXd/H3NFv4X4L+ACvNnXfN24C2lVAXG2iS39/0jaDQajWawcB74kN6hlHpfRMqjwt6w7S6ke5XKuJjLCWcppRaa+48ClwKvAZdgLCoG8AjwLvC9A6WroKBAlZeXH+gwjUaj0fQTIQWd/gAdviAd/hD7t62rVUoVRh/XbwLqILgeeNq2P1pElgPNwA+UUh8ApRirwFrsMcMAilX3csL7gOJENxKRG4EbAUaOHMnSpUv75gk0Go0mSQiFFPuaO9lV306HP0iq08Go/HSGZaWSkiI9nre5upUlO+pZvquR1ZWNbKluJWSulVvqdbP/znN3xjt3UASUiNwBBIDHzaAqYKRSqk5EjgNeEJFjD/Z6SiklIgmXBlZKPQA8ADBr1iy9hLBGo9EkoL7Nx+b9LWyubmVLdSu76tvZWdfG7oYOfIFQzPGprhTK872MLcygLDeNnHQ3LodQ3+ZjfVUzn+5qpKnDD0BBhocppVnMO3YYk0uzmVKWbQi4O+OnZcAFlIh8BbgQOEuZ680rpbqALnN7mYhsBcYDlUCZ7fQyMwxgv4iUKKWqzK7A6gF6BI1GozmiUUpR2+pjc3ULW6pb2by/lU37je26Nl/4uHS3g5F56YwryuCsY4oZmZfOyLx0MlOdtHUF2VnfxvaaNrbVtrFmbxML1u8PCzFHijC20Mu8Y4dx/Og8TijPY0ReGqad20ExoAJKROYB3wVOV0q128ILgXqlVFBExmAYQ2xTStWLSLOIzAEWAdcAfzBPewm4FrjH/H9xAB9Fo9Fohjyd/iD7mzvZXd/BprBWZPw3tvvDx2WmOqkoyuCcScWMK8qgojiTiqIMSrJTexQop1AQsa+UosMfxB9UeN0OnI7Ds8NLKKBE5LKeTlRKPddTvIg8iWHEUCAie4AfYVjteYAF5kMvNC32TgPuEhE/EAK+ppSqNy/1dQyLwDQM44jXzPB7gH+JyA3ATuDzPaVHo9FojibafQH2NnZQ2dhJVWMH+5o72dfUGf7f39xJg00IAeSkuxhflMn5U0qoKMqgoiiTiuIMijI9h6TZJEJESHf3nd4jZi9bvBv9w9wsAk4C3jb3zwA+Vkpd2GepGEBmzZqltJGERqMZ6vgCIfY2drCrvr37V9fO7oZ29jZ2xAgfMMZ4hmV7GJaVZv6nMiw7jdKcNCqKM8j3uvtEEPU1IrJMKTUrOjyhqFNKXWee+AYwybKYM8d7Hu6ndGo0Gs0RjVKKTn+I1q4AbV0BWs1fW/g/SLsvQLsvSIc/aJha+4K0+4PUt3VR02L8ogWQ25nCiNw0RuSlM31EDsNz0ijLTWN4Thol2akUZabidh5dzoEORhcbYTPnBtgPjOyn9Gg0Gs2go5Sivs3HnoYO9jR00NDuMwRNZ6zAaek0tsMCyBckGDo4Y2GXQ0h1OUh3O0hzOcj1uhld4OWE0XkUZqRSmpsWNkwoyvT0aM59NHIwAuotEXkdeNLc/wLwZv8lSaPRaPoXfzBEbWsX1c1d7G00hNDuhnZTIBn/7b5gzHkpAl6Pk0yPk4xUp7Gd6qQkOxWvx0mGx4nX4wgf4zV/GeF/BxkeF+keQyC5DtOI4GjngAJKKXWLaTBxqhn0gFLq+YO5uIg8hGFSXq2UmmyG5WFM0C0HdgCfV0o1mD72fg+cD7QDX1FKfWqecy3wA/OyP1VKPWKGH0e3AcWrwK0q0aCaRqM56uj0B9lW08bWGmPOTnVLJ61dQdq6ArT7AnQFQvisX9D47wqEaGj3EV1TZKU6KctNpzzfyynjCikzu9NKc9IoyHCTkeokzeUYkmM4RysHZW5hWuz1aLWXgIeBPwKP2sIsH3r3iMjt5v73gPPo9rc3G8MH32xToP0ImAUoYJmIvKSUaqDbT98iDAE1j24rP41Gc5TQ0OZjS00rW83Jo1trWtlS08qeho6woBExjAQyPE7S3Q68bkNzcaen4HaaP0cKHlcK+V4PxVmpFGd5GJadSlluOtlprsF9SE0MBxRQpvb0SwxrPjF/SimVdaBz4/njI7EPvUuAR00NaKGI5JgGGXOBBZbZuYgsAOaJyLsk9tOn0WiOMEIhRWVjR1gQba1pZWt1G1tqWqm3TR71OFMYU5jBtLIcLp9ZxtjCDMYVZTC6wEuqyzGIT6Dpaw5Gg/oVcJFSan0f3TORD71SYLftOMvvXk/hifz0RRDti0+j0QwOoZBib1MHO+va2VHXxo7aNnbUGa50dta102VzpZOb7mJcUQbnmpNHLUE0PCcNR5IZCyQrByOg9vehcIrgQD70+vA+2hefRjOAdAWC7KhtD48NWd1y22ra6PB3Gx94nCmMyk9nVL6X0yoKGWMKobGFXvIzPIP4BJqhwMEIqKUi8jTwAqa/PDiwJ4keSORDrxIYYTvO8rtXSXeXoBX+Lj376dNoNP1EKKSoa/Oxv7mT6pZO9jV12bY72VFnTCq1m1qX5qQxriiDOWPyGVtodMeVF6RTnNmzJ2xNcnMwAioLw6ruXFuYondGE5DYh95LwC0i8hSGkUSTKcReB35uWzH3XGD+Afz0aTSaXhA9/2dPQzuVjR3sb+5kf3MX1c2dVLd0EYia5yMC+V4PRZkejinJ5MKpJeFuubGFGaS59diQ5tA5GDPz63p78QT++BL50HsVw8R8C4ZAvM68f72I3A0sMY+76yD89Gk0mig6/UEa2/00dfipa+uiqrGTqqYO9jZ1Gj7dTKFk74IDw5Go4TInlbGFBRRnWRZwqeHtwkyPntOj6XMS+uILHyAyHsOcu1gpNVlEpgIXK6V+OhAJ7Gu0Lz7N0UIgGGJfcyd7GrqFS3VLJy2dAZo7/bR0BmjpNARSY7s/wgDBTp7XTUl2KiNy0ynNNdznlOWmU5abRmluGlmp2vxa078csi8+G38DvgPcD6CUWiUiTwBHpIDSaI4EOnxBqluM7rTq5i6qW8wutpZOKhs6qGzsoKqpM8alTm66i+w0F5mpLrLSnBRmZJCd5iIn3UV2uoucNDc56cZ+Sbbhw02bZmuGKgcjoNKVUoujZk8H+ik9Gs1RSTCk6PQHae0KGM5AW7uoDf/7qGntosYUSDXNXbR0xRYxl0MozPAwPCeNWaNyKYvSeLSw0RxtHIyAqhWRsRiGEYjIFRhLtGs0SUEwpNjb2MHWmlaqW7oiHIa2dAboiPZM7Y/cbvcF4y6VbeF1OyjM9FCQ4WHisExOqyikMNMwOCjKSqUo0xjnyUlzaYs3TVJxMALqZow5RBNFpBLYDlzd2xuKyAQMX3wWY4A7gRwMt0U1Zvj3lVKvmufMB24AgsA3lVKvm+HzMPz3OYC/K6Xu6W26NMmNUoqGdj/balrZVtvGtpo2ttca83Z21rXjC8YKmFRXiulWx3Ctk+oyHIBmp7lIdTtIdzlIM71UW//pHieFGR4KM90UZqRSkOnu0wXeNJqjiR5Lhog4gK8rpc4WES+QopRqOZwbKqU2AtNt168Ensew2rtXKfWbqDRMAq4EjgWGA2+ahhsAfwLOwfAiscT00bfucNKn6XsCwRA769vZtK+FHXXtNHf6ae0M4A+Gwv7Rcr1uCjNt/tGyUslOc/W5Y87mTj+7TC8GO+uMiaTbTYHU1NG9/o7LIYzMS2dMYQZnTixiTKGX0QXGEtiZphdrbbWm0fQvPS357lRKBUTkFAClVFs/3P8sYKtSamcPFdElwFNKqS5gu4hsAU4w47YopbaZ6X3KPFYLqEEiFFLsaehg0/4WNu5vYfP+FjbuNzwI2Lu4nClCZqoTpyMFfzBElz8UY9oMhoZimTfnprtJdRlaiidqUTbLElWF9830KBW2YKtv81HVFLsK6bCsVMYUerlwagmjC7zhSaRluWk4tQDSaAaVnjSoxcBMYLmIvAQ8A4SF1GF4krBzJd3rTIExUfcaYCnwLdNjeSmw0HaM3edetI++2fFuon3x9S2BYIg9DR1sqzWceW7c38Km/S1s3t8aIWiGZ6dSUZzJqRUFVBRlMGFYJmMKM/C6Y5cs6PQHqWkxPBLsazY8EuxrMrarmjrZXN1Kpz9Ipz+EL9B9D+s61uXEFi5AVpqL3HQXw3NSmTYih/L8dEblpzMyz8uo/HS8Ht29ptEMVQ6mdKYCdcCZGI1U4fA8SQAgIm7gYmC+GfQX4G7z2ncD/wtcfzj3sNC++A4NpRTNnQGqTe8Be5s62FbTFh6f2RU1JlOQ4WHCsAy+cPwIJgzLZHxxJhXFGYc0fybV5WBEXjoj8tL745E0Gs0RSE8CqkhE/gdYQ7dgsuiLSv484FOl1H4A6x9ARP4GvGLuJvLRRw/hmgQopahp6WJLdSu7G9oNk2fT3LmmpYtqU4vp9EcaBdjHZM46poixBRmMKfQypjCDPK97kJ5Go9EczfQkoBxABpGCyaIvBNRV2Lr3LAey5u5nMQQjGD76nhCR32IYSVRgdD8KUCEiozEE05XAF/sgXUc8Sika2/3hJax31xvGAJurjXV2mjsj59hkpTopykqlIMPNtLKcsPuaoqxUijONBd1Kc/SYjEajGVh6ElBVSqm7+uOmpkXgOcBNtuBfich0DOG3w4pTSq0VkX9hGD8EgJuVUkHzOrcAr2MI04eUUmv7I71DkZZOf1j47Db/Leeeexo6aI2a6FmQ4WFckZeLpw9nXGEG44oyGZWfTmGmR0/u1Gg0Q5KEvvhEZLlSasYAp6ff6QtffMGQoqHdR32bj7pWH3VtXeHt+jZjv7HdT7svSKdt0mYgpHCmCC5HCh5nCtnpLvK9bvK8bvK8HvK9bjJTnaS5DUu1rkCItq4gTR1+qpo6wi5uKhs7aInSgtLdDkbkpjMir9uP2oi8dEbkplOWp/2paTSaoUtvfPGd1Y/pGRIopUwhYHgCaPMFaOsK0tYVoK0rQG2bjxpzeQHj10l1cxd1bb4YH2hgWJLlpLnI87rJTXeTleaiOMsTnqjpSBECQYU/qPAFQzS2+9jb2Mmaymbq23xxJ4NaZKU6KTUFz+zReQzPiRREuel9P2dIo9FoBpOEAsq2pMVRxab9Lcz++Zu0dxkCKY6cicC+zk1RlodJJVkUZRrLC+RnGNpPvtdjCiVXr8dplFJh9zkdPsOc2uNKwet2hieGajQaTTKRdLVeqsvBGROKSHc78Xockf9uwxWN123s52e4yfe6B8Q4QETITDW8UGs0Go0mCQXUyLx07rl86mAnQ6PRaDQH4IALFh5tiEgLsHGw0zGEKABqBzsRQwidH5Ho/IhE50ckfZUfo5RShdGBSadBARvjWYskKyKyVOdHNzo/ItH5EYnOj0j6Oz/0zEuNRqPRDEm0gNJoNBrNkCQZBdQDg52AIYbOj0h0fkSi8yMSnR+R9Gt+JJ2RhEaj0WiODJJRg9JoNBrNEUDSCCgRmSciG0Vki4jcPtjpGShE5CERqRaRNbawPBFZICKbzf9cM1xE5D4zj1aJyMzBS3nfIyIjROQdEVknImtF5FYzPFnzI1VEFovISjM/fmKGjxaRReZzP22u3YaIeMz9LWZ8+aA+QD8hIg4RWS4ir5j7SZsfIrJDRFaLyAoRWWqGDVh5SQoBJSIO4E8Ya1BNAq4SkUmDm6oB42FgXlTY7cBbSqkK4C1zH4z8qTB/N2IsInk0EcBYqXkSMAe42fwOkjU/uoAzlVLTgOnAPBGZA/wSuFcpNQ5oAG4wj78BaDDD7zWPOxq5FVhv20/2/DhDKTXdZk4+cOVFKXXU/4ATgddt+/OB+YOdrgF8/nJgjW1/I1BibpdgzA0DuB+4Kt5xR+MPeBFj2Zekzw8gHfgUmI0x8dJphofLDsbSNiea207zOBnstPdxPpSZle6ZGIumSpLnxw6gICpswMpLUmhQQCmw27a/xwxLVopV9+KQ+4Bicztp8snsjpkBLCKJ88PszloBVAMLgK1Ao1LKWs/F/szh/DDjm4D8AU1w//M74LuAtbRAPsmdHwp4Q0SWiciNZtiAlZdk9CShsaGUUiKSVKacIpIBPAvcppRqti9Tkmz5oYzFP6eLSA7wPDBxcFM0eIjIhUC1UmqZiMwd5OQMFU5RSlWKSBGwQEQ22CP7u7wkiwZVCYyw7ZeZYcnKfhEpATD/q83woz6fRMSFIZweV0o9ZwYnbX5YKKUagXcwurByRMRqvNqfOZwfZnw2UDewKe1XTgYuFpEdwFMY3Xy/J3nzA6VUpflfjdGAOYEBLC/JIqCWABWmNY4buBJ4aZDTNJi8BFxrbl+LMRZjhV9jWuPMAZpsqvwRjxiq0oPAeqXUb21RyZofhabmhIikYYzHrccQVFeYh0Xnh5VPVwBvK3Ow4WhAKTVfKVWmlCrHqCPeVkpdTZLmh4h4RSTT2gbOBdYwkOVlsAfhBnCw73xgE0Yf+x2DnZ4BfO4ngSrAj9EnfANGP/lbwGbgTSDPPFYwrB23AquBWYOd/j7Oi1Mw+tRXASvM3/lJnB9TgeVmfqwB7jTDxwCLgS3AM4DHDE8197eY8WMG+xn6MW/mAq8kc36Yz73S/K216s2BLC/ak4RGo9FohiTJ0sWn0Wg0miMMLaA0Go1GMyTRAkqj0Wg0QxItoDQajUYzJNECSqPRaDRDEi2gNBqNRjMk0QJKo9FoNEMSLaA0Go1GMyTRAkqj0Wg0QxItoDQajUYzJNECSqPRaDRDEi2gNBqNRjMkGVICSkRGiMg7IrJORNaKyK1meJ6ILBCRzeZ/rhkuInKfiGwRkVUiMnNwn0Cj0Wg0fcWQElBAAPiWUmoSMAe4WUQmAbcDbymlKjDcvN9uHn8eUGH+bgT+MvBJ1mg0Gk1/MKQElFKqSin1qbndgrF4WilwCfCIedgjwKXm9iXAo8pgIcbKlyUDm2qNRqPR9AfOAx8yOIhIOTADWAQUq+6VGfcBxeZ2KbDbdtoeMyxiFUcRuRFDw8Lr9R43ceLE/ku4RqPRaA6KYEhR29rFns1ra5VShdHxQ1JAiUgG8Cxwm1Kq2Vip20AppUTkkFZZVEo9ADwAMGvWLLV06dK+TK5Go9EkJcGQot0XIDPVFTd+2c4GLv/Lx1w9eyRuZwrf/cxE0tyOcPzGfS185nfvwy8v3Bnv/F538YlIqYicJCKnWb/eXivqui4M4fS4Uuo5M3i/1XVn/leb4ZXACNvpZWaYRqPRaA6TxnYfexraE8b/5OW1TPnxG/iDobjxD320HYDHF+3iHx/tYHVlU0R8fZuvx/v3SoMSkV8CXwDWAUEzWAHv9+Z6tusK8CCwXin1W1vUS8C1wD3m/4u28FtE5ClgNtBk6wrUaDQazWFw6q/eoaUzwI57Logb/+gnhuLT4Q/icsTqO52+YMR+hz9yv6G9HwQUhpHCBKVUVy/PT8TJwJeB1SKywgz7PoZg+peI3ADsBD5vxr0KnA9sAdqB6/o4PRqN5ghEKcXy3Y3MGJGDfYjAzoZ9zYwtzIhbsWoMWjoDB3VcU7ufrDjdfO1RAqozSkAdSIPq7ZvZBsTvdDwMlFIfKqVEKTVVKTXd/L2qlKpTSp2llKpQSp2tlKo3j1dKqZuVUmOVUlOUUnpwSaNJArbWtPLjl9YSCsUfjn7u00ou+/PHvLp6X9z4PQ3tzPvdB/z81fUJ77F4ez37mjr7JL1DlfN+/wH//c9lh32dU3/1Dne9vC4mvN3fs4Bq6CcB1Q6sEJH7zYmy94nIfb28lkZzxKCUYm9jR8L4YEjx6Cc7YgqinX98tJ3d9Yn79VftaaSyh3scLkoZA9uJ6AoEuXfBJjp88Z8hGFJ8618rWbe3OeE1Xl+7j837WxLGf7qrgWU7GxLG/+39bVzxl48Txn/tsWU8/PEOdibIx03mvXfWt8WNr2npMtPRmPAen7//Ey6474OE8U3tfpo7/QnjB4L6Nh9KJbYZ+/KDi3h55d6E8eurmnltTXwhfqg89NH2mO8quosvRoNq95HpSdyR11sB9RJwN/AxsMz202h6JJigxWsx2AV+2c56/veNjQnj//zuVk6652121sWv+J77dA93vriW+9/bFje+urmTn7y8jpseS1xcLv7jR8z99TsJ47/4t4Vc/McPE8Y/uXgXV/99YcL4Bz/czqQ7Xw9X0tE89slOfv/WZh78MP4zbK9t49lP93DLE58mvMdNjy3jnHsTD0lf9uePubwHAfSzV9eztAcBZo1lxO+8g4D5nblS4ldx3fHxrxAwB/3remjhT7vrDWbetSBh/OHiC4R4esmuhFrizro2Zt69gH98tCNufKc/yAeba/nGk8vjxvck2CCyrCZKQzSN7ZHlt90fKbCiGz0NbT5yve6E1+uVgFJKPQI8SbdgesIM0xzFKKV6/Kg372/h7x/Er9QAXlq5l7HffzWh9rB2bxNTf/xGwhZfIBii/PZ/86d3tiS8x1/f28p/1iS2k7n92VVc94/FCeMv/8sn/OHtLQmf8/W1RmszUcVldQlFDwZbNHUYBTieBtPY7gu3MP3B2Pu/s7Ga9zbV8PHWOlbtaYqJB+MdzX9uNR9tqYsbD/DM0j0ACQVUs5lGX5w0gKFhAbid8auPg63MDger8uwKxLces+IdCQSQVVE6HfHjD3bsJdDDsz65eBffeWZlwvjX1+7j9F+/k9AC7k/vbOF7z67m36vjf88b9xla4kdbauPGW+830XtqaO+5MdhoM2C47C8fx1jzxSsjbV09C6TOqPfV0O7vUUD11opvLoZHhx0YjZgRInKtUuqwrPgGk7V7m5hQnInzCB4wbesKkO52JBwU/nBzLROGZVKY6Ykb//iinRRnpnL2pOK48V94YCFrK5tYe9e8uPEX/uFDugIhvnJSedx8fGrxLsBogY/IS4+J/9RsMX+8tY6Lpg2Pia83C8z9723l5jPGRcS1dPpxO1O457UNADFWR0t31BMIKZ5aspt41LZ2RYw3dAVCpLq652sEgiH2NnbSahbAlKg8Vkrx/ubacHyGxxET/5s3NlKe7wUg3R1b9KbftYCJwzLjpg/gun8sSRgH8K1/reTZT/eE94MhFVFB72/uZMG6/fgSVIgWXWa8J0HFZlXeiSq+nir3nro+AT7ZWsfWmtbwvj8YijBi2FbTyr9XVYUFeKLrWZX+gQSQM4GG1Rea/PznVgPw689Nixv/vWdX0djup6nDT0FGbJm0tHRfAiFsPUNmavxqfH+z8T1np8U3F6hu6Xl8rba1W0Ct2N3I/OdW89gNs8NhzR2x77k1SkBFG0nEaFDtPvL6WkAB/wucq5TaCCAi4zE0quN6eb1BZeO+Fi6470O+ceY4vnXuhLjHXPXAQq48YQSXTC+NG7+msolUVwrjiuJXMO2+AL5AiJz0+C+jpdPPxn0tzCrPixvf1OHnwQ+3880zx8Wt/K0Jb3/84gwunBpbuXf4gnzpwUXMGJnD818/Oe497nh+DRBbuVss3l4fN9zCas12BkJkxEmjVaDsFb/Fyt2NtHTFL3ChkKEVnDDayJt4lfuUH7/BzJE5CdN2xV8/6THtX7j/E7bWdHfbdfqDEem8981N/OmdreH96IL28qoqvvnkcix5EP2Mexo6Is73emLzAGDDvsTjNgfCLpzA0HTseXXrU8tZuK37HXZEdb80tPn4yctrw9+XO57ZsD8YblnHs377z5qquO/HYvpdbySsMAGu+ltk12RnlPnyjY8tY0t1twCL1lS31bRywyNLKc83GkDRmqhSimeW7ekWUHEE2LKdDTGagJ031+0nq4dnOFisbyiRAGrtMuLT3fG/lXBjKKGAMjSonEQCqrlnI+y61sj4DzZHamq1bbHnt3V1vw9jEm+0BhW539oZYGScxqpFbwWUyxJOAEqpTeYE2yOSHWZLZX1V/EHf1q4An2yr45NtdQkF1IV/MMYEoiv3VXsaaWz388MX17Czrj0m/pOtdby8ai8bqpr5dFcjG+6eF1G51bV28c+Fu9iwzxjMPG5ULqePj/QI0tju4831+wFYvquROWPyyfe6IzQpq1Va1djJiysqOXZ4NuOKMsLx9kLy9JJdeJwOLp0R/1l9gRBdgWDC2eMdviAZtoHP1q4A726spsVslXZFfaTvb6rhmocWhyuujKhB033NnTy9dDdPLzW0n/Q42gn0POB9IOzCCYyKL8e2Hy2cowuaZY1k9fhEV4zRLf20qEo8Ok+iOdB4QTxrsw5fpICKbvF2+CIrxkc/2ckLK7q7V4NR96xt7WLWT98Ma3nxBNjX/pl4XAqg0x+i03/ws1M6/SEyU7v3o7vDovP18UW72F7bxvbatrjxa/c2893/WxXej9aglFI9jo0BfPXRno2F/2/ZHjbu665LlFJxezWsBl2i7mCrGzhRL6I13pPhMcqNLxBCofA4jfJxYA2q+z1s2NfMxGFZEfH7mmO/KfuzRI83QaQGFe+5oo0monsqoultf9ZSEfm7iMw1f38HjlgT71azNeX1OKls7IjpQ7esttyOFN7fVMOuuu6+WF8gFFG5P7l4F/+ydSNd/MePuOahxew0z1myo55HP9kRjr/psaU8sWhXuHJ9eeVeTvrFW+GC9fu3NnPvm5vCljaVDR0c/7M3w+M4G/Y1M/2uBfz6daO94EwRZv30Tf78bndr/dFPdvD2BsP5RklOKrc+tYKzf/teOD7aMu17z67mtqdXhAeKrWMsfvHaes699/3wx7ijto1/r+ruJ4+uFH7x6npueWI5O8w86PRHVjJWQbHGZ6LHDaLnSkS3KBMV8EPBFdWSjtaQogt5dEFLc/WcppaoFnmaK7Lo2Vue0dS0dDHj7sSD8V2BoOEuJgp7f79SKqalHT0OFq3VRbd+rRa3peVFd/EdqPuuN0RfM1q7jo7Pz4jsoYh+j9Hdm9FDVNHvLUFveY98+5mV/O2D7bY09tyl2uELopTi8UU7qWrqLodtZto7/Ub8zU98ymMLuz0C1ZoaTmO7j6YOP5f+6SMuvK/beMYqV2luB6GQYvmuBh78sDtd+20CaN7vPmBHbWQjbXd9rCWp/Zto6ogdh7VrnvHGWaPzoisQTNiVDL3XoP4buBn4prn/AfDnXl7rsBCRecDvAQfwd6XUPT0dv2l/C48v2snVs0eFw2rMF+0LhDj5nrf50pyR/PTSKeH4ygbjRWWmOrnmocU4UoStPz8fgBN/8VZEBlv9zp8/3u6BqZvPmV1NVx5v+KbKSXfTbOuz//7zq/EHFZv3tzKlLDumG+Xhj7dT09LFs5/u4bazx4cFn8Vms/vjiUW7uPmMcTS1+7nzxbXheEecEjf1x2/gD8UWog+21HLGhCKufWgxK3Y3hsO3VLdS1dTJH97ezPzzjuHqvy+KMIv+z5p9PLe8kutPLufymWXhgmRhVQJVTR3kprtjujgONJkvWhgcaLA3HvbxmQ8318ZoPPaK6v1NNayvakkY7wuEYlqb0c/QGjUuE7Ddr7KxgxsejhxfsgvMDzbXxG2tWq3ZT3c2hoV7RBptlcl1Dy+J0QIPJNg7fNHjCZH70Z/SwRoW2EmkXVhE52O0dh1d4UmUXV/0+dFpjDayiI7vi0m8Hf4gH2+t5e5X1vHHL85kWHZqhMufTn+QBz/czk//vZ6Lpg3nD1fNALor+0c+2cGm/S38e1UV/15VxZfnGHWXVa6eWrI7Ymy1qcNPdporLOw+2FzLmO+/Go4/b/IwhuekxQikj7bWUl7gDe/vimPM1NDuw2u+g3jfXJvtG2nvim1cRH9zXf5QWOOLR68ElOlB4rfAb0UkDyjrB68SB0REHMCfgHMwPJkvEZGXlFKxM8ZMugIh7nh+DZOHZzNtRA7Q3T1iWUb9c+EuvnlWBUWZqfz+zc1h7cIaOA2GFIFgCEeKJLTmaurwx7TO7Gza30JOuivhIO6Wmha8HgdronxXWRVpuy9IIBiKsYizuvIqGzvYUt0a0/Vj/+heWbWXicMyY1r3Fr94dT1jCzJ4b1NN3Gs89OF2JpVkxczZeX3tPtZXNfOd/1vF/uZOcqPG3dq6Avzs3+t46KMdzDt2WIxhgFWxPrV4F44UickjtzOF9VXNjMhLJ8PjjDvZ74XllWSlOTl5XAE/fin2c1hT2USnP8j44ky+9OCimHgrDYFgiGseirX6sxe0z/75I9ZGzQmyC4fnl+/h/z0dac1lP//xhTtjxp5SXQ6UUvxnzT7eWl9NPPxBxWtr9vLuxpq48Z3+IM2dfvY2dsQ9Jlq7aO7seYA72nCgrSvAD19Yw7nHFnNqRWFMfIrADQ8voSw3je9fcEzEoLvF44t2Ud/m46Jpw/mrTesPp9HUHgBeWFHJyt1NMfE9pTEmviM23i4kW6LOdztSeHFFJSPz0pkxMjeuheJvF2ziqcW7SHU5uPvSyTHx97+3lfvfN6xbf/zSWrweZ0SZevDD7eEekkXb6sKGIe1muVy1pynCanNPQztluekJrTA/2VrLvMklbKiKP5756uoqvnrqGLbYjFHAaKjZG+7xrG0b2/2U5XZvR9MaoUFF5n1uujtWQAVCeFx9rEGJyLvAxeb5y4BqEflYKfX/enO9w+AEYItSapuZrqcw1ohKKKAEKMz0cM1Di/nSnJHceOpYlu8yrMfsFe1Jv3ibaSNyIiYT2lvZ4+54DW+CwUuAaT95o8eEW2NW0Vj3iK7QTh6Xz0db6sLjZQ+8v40H3o816bZrVPZuPAt7v/MtT8SfHwEwa1QuS3c2MPc3sfNx9jR0cN7kYazd28ytT62Iid9c3crYQi/jizP5zRubYuJfXrmXj7fWMXFYJv9eXcXSnZEt+33NnZz4i7eoMoWrM0rSt3YGOO/3xgTK08cXxsQD3Pa0ka5TKwpiBncBLvnTR8b/9FiDEoDnllfyo5fWcu2J5XHja1q6+NM7Wzi+PC9GOIFRON9Yu4+K4syId5nudtDuC4Zb1f9eVRV3oqTLkcLra/fz348nHtPZXtsWN/8tOvxBjrt7QVyTdSv+oQ+3s7exg1yvm/ve2hwRv2l/C/N+9z7HDs/mzosmxYxhLdnRwJIdDTy2cCffPKuCCcWRDY2QgrfMruVHF+4k3jDaD14wDHN+uyD2OwG4/71tfLC5hmOHZ/PJtljT+brWLp5cvItReem8t7kmZv5ZU4efxxbuZFpZNrnpbp6OsuLc39zJqb96hy/OHskVM8v4+asbIuJ9gVBEHsezXLTn27VxGjOPL9rF6AIv00fk8PzyWF/Wr63Zx+njC7n8uDK++eRyvvPMSu65fGpMg+GxG07g+oeX8NNX1vO/n58W43j1xDH5bK5u4eklu5k7oShGAAGkulJ4bc0+bjhlNFurI+MXba+PENa76tspz08Pd81DpO+8aAGVIpFdfNFGOLnprgiNNhRS+IKhHrv4equ/ZiulmoHLMBYMnA2c1ctrHQ6J1oOKQERuFJGlIrLULSGe+KphKvmnd7Yy7a43WGlrnQzPTuWZr51IIKQSznT/+tyxQHcfcSIrG4ubTh/DiLy0hPE3nDKax786O2H8rFG5/OEqYzX7RGPlt51dEWE+fsn04TFdYVm2/vsPvnsGd19ybMJ7fuOsCt759ty4A7TBkOKYkixeuiW+NWBTh58Reencc9lUSnO6n9u6/6e7GkgR+NfXTmRaWTb7m7vITnNx0+ljAMMgoaqpk3MmFXPFcWUxc03sVlzvbaoJV4LxsAuneO/gRZtRwE2njeE+s3vliUW7jAH1Z7sH1PO9bh674YRw/K9f38jn74+0DvzHV45nbKGXhdvquPGxZZzxm3cj4j+5/SzOnVRMfZuPL/5tUViDsPjOZwwr0k5/kJdW9uyY/7Ue5nuBkY+JhBMYLea7XlnH3z/cHh7DtLNkRwMb9rXw7Kd7OO7uBfwsgVugGSNzuO+tzdycYOLuyLx0bomaFhDN9SePpiQ7NSb836uraO4MsHRnfdzpEb97czPzn1vNF/++KO7k6FdWVfHDF9Zw8R8/4tRfvcOHUXOGdta1s6ehg1/9ZyMn/Pyt8FitRfSYVSKLuzsvnBSuV6Jp7Qpw0bTh/PTSyTFl0uKymaVcPG04F08bzgsr9nLqr96J0Ea+f/5ETq0o5PqTR/Oftfv4z5p9Ed2TE4dl8o/rjufLc8p5Z2MN726sJhhSEZX/zJE53HLGOJbtbGDpzgaaoyzo6tt8PLNsD0op1u5tYl9zJ5NLsyPSaRdKTR3+iDFBr8cZMZYarUF5PU46/UHe31TDK6v2hvO2py6+3goop7nsxeeBV3p5jQFDKfWAUmqWUmpWdkYaFcWZPHL9CeH4r88dS066MQheUZzJ8eV5rPzRueH4f3/zFOZOMCznhmWl8t15E3nt1lPD8S/cfDLfPnd8eH/R98/iUdv1Tx5bwLdt5uv/c854/vqlbov8rFRXxCD85NIsvjtvQvhj7gwEI4Sgx5nC1bNHcsHU7sWDbzt7fPiYicMy+f2VM3jlm6eE45//+knMGZMPGN0WZblpXHnCyHD8CeV5XHNit3pflOlhdIGXfHOOQmlOGlfP7j6+OMtDTrqbC6YYaZhUksUvLusetyvLTSM73cXlx5UBcMaEQlbcaeRppz/EqHwvWakuvmxqKCGlmH/eMVQUZYS1vHsum8J/m40BgPe+M5cJxZnhhsFnZ5Sy7Adnh+P/fs2sCK22IMPDn744M7x/1yWTueP8Y7Dzs89O5mJzzlVWmotJJZGWTDecMppvnlUBwLQROZxaYWhsVhq/ceY4vnrK6PDxZ0wsIs3tCGvjw7NTIwSj1+Mgze2IGTu0OGdSMbecMY52X5APNsVqfref173Y5htr94e3i8zK+xzbHLb/W9Ztdm51o84enRduNLy1oZqS7FQunT6cU8YVAMZ7++mlk8Pd01ceP4Jn//skThpXEO5S+ts1s8LXmGlOW7j/y93fc7TrmoevOz7h9A2AX14+hTsvmpRwft6X54xi3V3zwu/JTiCkOG5ULvd+YRrHmO8u+jrHl+cyrSyyorV3K48ryuCuS46NqMynm93/Fqt/fC4v39JdnqK19uNG5XLSuALGFHqJxwnleXg9zvD7iR52sxytji00LGtrWrr4x3XHh+OtcR/rGX+7YBPFWR6OHW7snzKugFSXg+NHG/1vf353K44UCZf5yaVZPPFfczhzonH/z/31E9JcDs6NmvP43f9bxa1PreCv720jJ93FdSePjoi3T95t6vCH600Ar9vJ3sYO/vHRdtZUNsUIqFSXg6U7G7jmocXc8sTysDbVHxrUXcDrGN1rS0RkDLD5AOf0B4e8HlRxltFKs14swHfnTeQEc/5RWa5R8OwC49jh2YwpMD6ckhzj/GNsFVlZblr4AwKjsjhtfCGXmt1HOemuiMHdMyYUMW/yML47zyi09oFHgC/NHsXX547jn2aLrKnDj8eZEq40rj2pnJ99dkqE0INu44FhZkvUrr1MLs0OC7DibA8iEjEA/IMLj6Eku/t4q8KzTEBvO7uCuROKuuPNfLTudc6kYk4eW2DLE6NlNtYssG1dQVJSJNxFUmGauFv5bg1OW4uZFWR4yM/wMMY2aDsq3xtRccw/fyL5tgmOp40v5P+d091Q+Pu1s7hgaklYaGWnuRhX3G1a/7PPTubq2aPC1mtetyNiMbXrTx7NDy+cxOgC41ksU3Arn88+pphvnTshZmKzFT8qP52Pbj+TJ746JxzndKREtKL/fs0s/nx1txDN8DhJNfvkW7oC3HpWBf/7uWnhd3fC6Dz++EVDy1tX1cyl04fzzxtmc4b5bk4fX8gLNxua7fbaNs4+poiPbj+T284eH87fj24/M3y/m04bw++unBFufLR0BvjSnFHhlvOofC/Hjcrli7bGzDmTijnrGON+Vgt8hu29vHbbqdx8RnfDYlR+ZKX9tdPHRuxbcwe9pkn8GRMip1HMKs/F5UgJa1hnH1MUEX/5zDI+O6OM608uB4xurF9fMTUsRM6YWMSLt5wSoeH857bTws88pTSba04s5+1vzw3H/+nqmXz/fKMxUJjpITPVxRSbkPvrl46LaOyMN7s3rfd029kVEekclu0x/41nuGTa8AiBl5VmPPvwnG4tcq5tOolVf1gT3CsbO7jqhJHhbyndijfL3ao9TZxzTHG4cTQqz0uqyxEhQK88YUS4HivJTuUfXzmezx1Xxksr9/Lyyr2cUJ4XrgcsXl5VxfefX011cyeN7b6IetLrcfDGuv385OV1fO/ZVTFjnGkuR0QPkGXc1OdjUEqpZ4BnbPvbgMt7c63DZAlQISKjMQTTlcAXD+ZElyOFH1xwTFggWS0aq2IFeODLx4X7XC0T3WLbpIxXvnEKH26pJd3tDAuYFCHch/uzz07h5HEFTCnNZpHNgqooy3jpn581grfWV3P9yaPDlRJ0twDHma2pqWXGkgFWT1dBRrdWY8cqHIUZkcLFel575R9NfoYnfL4zRcKGDVbrpiDTEzHvxcoH6xylFKnu7nirMhltChgrHz2OFHyBUHgOllWALE3MSvN4U5CICN8+d3w4T61n8Lod4ed0pgiBkMLtTImY9zParBgzU120+YJkpboiumiseOuevmAoQnhYaSjMMJ4lbDFmfitTzEo8Oj+t6003l3pIFF+akxYj3LweZ8R7O2/KMCYOy+KuV4yl1zI9TlJtXSInjM7nlIqCsAsmfzAU1noBzptcQmlOGttr4s8Lsr53698yErDeV6lZPqK7R63vYrj5DdqfMd/rCb+bnHRXzLSBS2cMZ/boPK4zLRetb8QqY5+fNYJvnFXBZX/+OCLeqgy9Hifbfn5+2DLNqtSttLR2BvjcrBHcu2ATe5s6w+VkWFQXotVAKw0/Q3e+ZaY6w3PV8uN4OshJj2zsWN+lVUaGZ6fxmWOH8aZp4JLvNfLDaiA7UlIi5iFaGpS9TNutGy3hbX8PF0wp4X3T2MLyXGLvJp03eVjYyMoqp/Zva0JxZnjf6RDOmFjEnDH5vLjC6H6rKM6IEB4ZHieLt9ezeHs9nb6goUGluSPiLfY1dYY1qF9dPpV2X4BVUWNmlpVhn1vxiUgqcANwLBDOEaXU9b25Xm9RSgVE5BYMbc4BPKSUWnuA08J89dQx4W3LZNIqkADnHjssvG19AFZLBwytxGppWi/H647sk/3crBER8dD9wRdkeHj2v08CIq1fLAGVne7ilW+cEi6g3ecb8ZY2cprZ0rIq57yM2AIFkOZyhu8bTb7XHS5khZkeUsxKxePq1j7srR9LyIZbUCIRwsEqiFaXhdVVZ1nxWJWFiLDurs+EC7Zd+7C45cyK7mcw01he4A0X4Pe+e0bYLYxVEHPSXWSb3Q9Xzx7J/y7YRL7XHWEqPcrMV+t9pIhEdKWWR1WclgZlaXsj89PC+WXHarlbmkNa1BilVSnYKygLr9sRUYlYjRSrMk2PEmAzR+UAcNYxRTy2cCczRuZG3M+6h9Vj8NVTur956O4RsCo+qxHU2GaWh3B85Gx/63u1KsQUmxBKdXU3hvLieE7JSnXR4Ooey8g135P1XfqCIUbZ7jfM/Jasby0QVBH3szR/Ky1WF7BlYTs8gYBqjirz9ooyw+0Mf4vxXPFkpDrj+uGzrpGV5oxo7Fhpt8Zhg6FI4wBr0vvwqEanhdUALrSV3XFFGWGfg1bZs3uZmTkyl83VLRHn26kozgiPKVkTltPcDgozPVQ2dlBRlBnxrV1xXBkPf7wDMFwfNXX4w3UPwKkVhazc04TTtG5uNOdJfWbyMLLTXPwmapzTmofVH/OgHgM2AJ/B6O67Gki8sEo/opR6FWPhwsOiybRQitZKuu9j/FuztqOxPoDoysjCXvHFc1Vk/5jtAiR6kBIiJyNuuHteuEK0PtYCb/f5v/ncNFrNVrGVBnuL8PqTR/PQR9tJdTnC8Xa1/nPHlXHXK+sozUkLD+Y7UyRc8Vw9exRVTZ3816mjSbV9aNY1vB5nhPcMq1Db72EXbNazWAIumnRXt4CyKM1JC7+3sACzdSvdcuY4rj25nKxUF3Vt3Q40S8x73HDKGNp9Qa6ePSqisFjatdVAuOGUyP740hyjEs2Kmjxabxb6RC5crHdtbwxZOB0p4UrBMLE30vPVU0dzz2sbyElzRWjb1j3mTigKeyGxW1JZlXKu1x3XhZVVuVsV6OfMMUNr6oFVYUYvRmd9C3ne2MaOiISfwT5GcezwLNbubTa1E0fE8QDfM8dd500eFuFJ2+rGnTuhiKtnj4zxw2g9o/UsluyyjAisZ4h2wVRrPkNxVuwzpKR0z6iKK6A8TrriTMC1NA5nSkrEM1oCtfvdpkQIWavhaz3LaVHeYqwGrogwPDuV8cMyEZGwt494rrNG5KWFBaZdE0pzOejwBxlXmBm2BLSPqc0ek8dzn1YyKj89Qlv/4YWTuGT6cN5aX80fTYfN8yYPw2dq7d86dzwnjytga00rP3hhTVhrt+qVm88Yh9fjxOUQfvrv9exrMspifwiocUqpz4nIJUqpR0TkCYzJukcsViUT3edqcSC/V5aGlciiL3qCYTT2bpDo2fDR2AWYvYVjLQ5mL1BXmBWOcazxIdgtb+68aBJ3XjQpIu2Ftm7M604u53OzyshMdYX7lItsGlaa28EPL5wUk8aiBALGItGAuDWPJZ5Fl3U/IOxrLZr0OPEiEq5grW6bkXnpEc/w3XkTicbeco9XuZeGu4eFH100iallOQDUmsYEiQSUL2jko701nOlxhoWC9Z7s88duOm0MN502JqLyN563+11a4akJGjvxsLQXEWHD3fPCmmxOuovGdj9FmZHvwRJklvywf6vXnVwetny1ND77Mzxy/Qks2V5PZmqkkLXISXeHv0X7fCOrbLidKfzss1NizrPKbprbwf87e3zYoMmiOOpbs8q4Nc8oP46Qhe5uznh5mOFxhsuDvYFiaUJBpeI2Vs+ZVMzVs0dy69kVEeFptnf36jdPjehBgEgB9NHtZ4YbzNaEb/t38K+bTqSh3RfRRWgXQP+66UTe21RNdnr3e7DXP3dfMplTxhXEGIo4UoQZI3MjpuOcMaGIz9h6mk4cm0/AnPS/rbYNl6N7rDvN7eC/545lS3UrP/33+m4NqgdXR70VUJZ+3igik4F9QFEPxw957rtqBu9sqI7rZRu6W2GJvE1bKnIiR5nxVOxE9NQnC4kFmDXzP1G8Nf4S7QfOwuoCtLcoRSRc6MIa1gGEDxxYIEdXfBZWl8Ow7PiarJW/5VED793xsRpWRLwrVsNKxIE829srPru1k+WZxC6gFn3/rPA4Z22LUfHZhfRb3z49HG5VVvYxEXtlE69yt2OvbBItNxH/ut3f3fNfP5kNVc0R56+485ywUL/rkmMZX5zB8Tbnxj+6qHvagtV9Zl9KoSDDw3nmWGMic2uLlAOkO9Ez2Cv++66awZvr9ke8x+U/PAeX2WK/5/KpPPLxjoheiqtnjwzPa7Mm8p97bPc44Ulj8/l4ax1ejzOsRWbbtMQ7L5xETpqLMyYUxXWTlOpyxBWy9meYNDwrJt7eMBaR8LVDlgZlK9OWU2Xo7rFw2HwOTinLDht8WMLDPhne63Fy2czuhi3AV04qj7j++OIMfnzxsXHnhVmNy201rXHrQ6tR1D0G1fca1AMikgv8EGPxwgzgzl5ea0hQnJUaYXYdzRdmjWB0gZfZtpdvp8CsbM6bPCxu/IEK5KGQyD29Nb6TqNVsDVommmDc3cXXs/aSSMs8FBJpUI0dB9KgjI85elzOwvIWH298xzi/Zw3sUEgkwC6YUsLzyysj8sneZWlVvvYuvqLM1HC+W/GJ3nNPzjUPlm+cOS7GBZWd0QXemDy2e+IvyU7jO5+J1Totxpr5f9bE+O1W6xmiu0cPhZPG5scs72DHmldkxy4wxxVlxHh+sAuP48vzYpw3P3DNLHbVteNypIQbanZr2sJMT1xvEodLogZfeAwqgXf8oKnNJFyY0Tw/0bIjEOsAuygzlTf+3+kJj7calw3t/rjlODvNhQjsa+6nLj6l1N/NzfeAMT0de7SQYptTEI/SnDQWzj8rbn+2dX5uuovro+YV9IZEGpbV5ZCoYrO6ABN1Q1rdCEUJnsESsonGhw6FRJWs5aA20T1OqyjkptPGhLvTohlbmMETX53N7ATvKtXl4PbzJiasOMEwc64ojq8pg2FiXBdnqQGLX14+lR9eOCmhFnD7vIlUFGVwekVh3Hhrrkl/Cqie5iX1BceX57HkjrMTNkSsCtduqBTN6AJvjEm5nSf+a07CuL4iOq8zPM6whpMRNb6aiLEJ5kYdCokauJaA8iboFbEEUKJv0aoLEs3f6g0ZHidjCrxsq22L283pdKSQlepif5NlJNH3VnzFwM+B4Uqp80RkEnCiUurB3lzvaCHaSiia5Xee22P8fVfNiFnozs7p4wtj/OLZuWBKCY98sjNhxXb17JG8tGIv50yKr+WNKcjgW+eMZ96x8eOdjhTOnzIspo/fTnl+ekLtBgzNqCrO0hAWj90wm9fWVCVsWedneJgfNdk2mpPGFfQYHz0PJ5p/XHdCj/HzEmjJFm5nCnnOxOOI2ekurj8lcUNl7vgijinJCs9disaqNHvK59vOrgjPzRksEgknMLqRNv50XtwlOyzesc1LOlJ559tzDzimfDAkcqhrGUkk6vYNBi0NKf75x5Rk8dcvHcdp43suM4fKxJJMttW2cdzI3Ljx+V4320xntT3Ng5IDrTMT9ySR14B/AHcopaaJiBNYrpSK7VwdYsyaNUstXXpkrgyilCKkEo8rBIIhWjoDPS6hPNi0dPrxBUIRE2w1h87TS3Zx2vjCiMnVmiOP+jYfAgnL7Ff+sZh3N9Yk1NTO/M27bKtt48PvnRExh9Pi4Y+28+OX1/GnL86M8DzT37y0ci/ffHI5r3zjlLiWyF+4/5Pw3NAPv3cGI/K8y5RSs6KP620HcIFS6l8iMh/C85H6fjEYTQQiQgLn54Ch4Qxl4QQkXORQc2h84fjE46WaI4eeljsHePDa48OGEPH427WzeHbZnoTTY645sZzyAm/MIqf9zUVTSzitoiDhCuJ2Q6v+8MXXJiL5gAIQkTlAU8+n9IyI/FpENojIKhF5XkRybHHzRWSLiGwUkc/YwueZYVtE5PbDub9Go9EMNRwp0uOaVGMLM/juvIkJuwBTUoS5E4p6XHOrPxCRhMIJIi1ge+ri662A+h8M672xIvIR8CjwjV5ey2IBMFkpNRXYBMwHMMe3rsTwWjEP+LOIOGxrQZ0HTAKuMo/VaDQazRDGbojVZ85iReR4ERmmlPoUOB34PtAFvIGx1EWvUUq9oZSybEYXYjh+BWN9p6eUUl1Kqe3AFox1oMJrQSmlfIC1FpRGo9FohjD2qSw9GcocqgZ1P2D5Wz8JuANDi2kAHjjEa/XE9cBr5naiNZ8Oai0oiFwPqqYmsRWcRqPRaPofy7Ix0+PssfvxUI0kHEopyy33F4AHlFLPAs+KyIoDnSwibwLxbHTvUEq9aB5zBxAAHj/EtCVEKfUApgCdNWvWoZstajQajabPmFqWw9wJhfzggp6njByygBIRp9kVdxZw46FcSyl1dk/xIvIV4ELgLNVt/97Tmk+HtBaURqPRaAaf7DQXDx9gviEcuoB6EnhPRGqBDkwHsSIyjsO34psHfBc4XSllX270JeAJEfktMByoABZjrMpzyGtBLVu2rFVEYte3Tl4KgNilW5MXnR+R6PyIROdHJH2VH6PiBR7yRF3TpLwEeEMp1WaGjQcyTOOJXiEiWwAPUGcGLVRKfc2MuwNjXCoA3KaUes0MPx/4Hd1rQf3sIO6zNN6EsGRF50ckOj8i0fkRic6PSPo7Pw55oq5SamGcsE2HmxCl1Lge4n4GxAifvloLSqPRaDRDj97Og9JoNBqNpl9JRgHVl+bwRwM6PyLR+RGJzo9IdH5E0q/50StnsRqNRqPR9DfJqEFpNBqN5gggaQRUsjqWFZGHRKRaRNbYwvJEZIGIbDb/c81wEZH7zDxaJSIzBy/lfY+IjBCRd0RknYisFZFbzfBkzY9UEVksIivN/PiJGT5aRBaZz/20iLjNcI+5v8WMLx/UB+gnTF+fy0XkFXM/afNDRHaIyGoRWSEiS82wASsvSSGgktyx7MMYTnbt3A68pZSqAN4y98HInwrzdyPwlwFK40ARAL6llJoEzAFuNr+DZM2PLuBMpdQ0YDowz5xG8kvgXtOytgG4wTz+BqDBDL/XPO5o5FZgvW0/2fPjDKXUdJs5+cCVF6XUUf8DTgRet+3PB+YPdroG8PnLgTW2/Y1AibldAmw0t+8Hrop33NH4A14EztH5oQDSgU+B2RgTL51meLjsAK9jrJwNxhSVWsxx7KPlh+GR5i3gTOAVDIcAyZwfOzDW/7OHDVh5SQoNikNwLJskFCulqsztfUCxuZ00+WR2x8wAFpHE+WF2Z60AqjGWvNkKNKrulQXszxzODzO+Ccgf0AT3P7/D8GgTMvfzSe78UMAbIrJMRCzXdgNWXnq7oq7mKEEppUQkqUw5RSQDeBbDK0mz3ZtysuWHUioITBdjgdDngYmDm6LBQ0QuBKqVUstEZO4gJ2eocIpSqlJEioAFIrLBHtnf5SVZNKieHM4mI/tFpATA/K82w4/6fBIRF4Zwelwp9ZwZnLT5YaGUagTewejCyhERq/Fqf+Zwfpjx2XS7JjsaOBm4WER2YKwvdybwe5I3P1BKVZr/1RgNmBMYwPKSLAJqCaZjWdMC50oMJ7TJykvAteb2tRhjMVb4NaY1zhygyabKH/GIoSo9CKxXSv3WFpWs+VFoak6ISBrGeNx6DEF1hXlYdH5Y+XQF8LYyBxuOBpRS85VSZUqpcow64m2l1NUkaX6IiFdEMq1t4FxgDQNZXgZ7EG4AB/vOx1hKfivG+lODnqYBeu4ngSrAj9EnfANGP/lbwGbgTSDPPFYwrB23AquBWYOd/j7Oi1Mw+tRXASvM3/lJnB9TgeVmfqwB7jTDx2CsGLAFeAbwmOGp5v4WM37MYD9DP+bNXOCVZM4P87lXmr+1Vr05kOVFe5LQaDQazZAkWbr4NBqNRnOEoQWURqPRaIYkWkBpNBqNZkiiBZRGo9FohiRaQGk0Go1mSKIFlEaj0WiGJFpAaTQajWZIogWURqPRaIYkWkBpNBqNZkiiBZRGo9FohiRaQGk0Go1mSKIFlEaj0WiGJFpAaTQajWZIMqQElIiMEJF3RGSdiKwVkVvN8B+LSKWIrDB/59vOmS8iW0Rko4h8ZvBSr9FoNJq+ZEgtt2GuzliilPrUXChrGXAp8HmgVSn1m6jjJ2Gsd3QCMBxjbZLxyljGWqPRaDRHMM4DHzJwKGP1xSpzu0VE1gOlPZxyCfCUUqoL2C4iWzCE1SeJTigoKFDl5eV9l2iNRqPR9MiGfS34g6GYcJcjhYnDMlm2bFmtUqowOn5ICSg7IlIOzAAWAScDt4jINcBS4FtKqQYM4bXQdtoe4gg0EbkRuBFg5MiRLF26tH8Tr9FoNJowo2//N/H66gRYes8FiMjOeOcNqTEoCxHJAJ4FblNKNQN/AcYC0zE0rP89lOsppR5QSs1SSs0qLIwR0hqNRqPpR4bnpB1SuMWQE1Ai4sIQTo8rpZ4DUErtV0oFlVIh4G8Y3XgAlcAI2+llZphGo9FoBoAXlldy8j1vM/r2f3PyPW/zwvLYKvg7n5lAmssRESbAGRN7VhiGVBefiAjwILBeKfVbW3iJOT4F8Flgjbn9EvCEiPwWw0iiAlg8gEnWaDSapOKF5ZX8+vWN7G3sINWVQoe/e2ypsrGD7zyzEoBLZ0SPtqiYvWeXVTJrVF7Cew0pAYUx1vRlYLWIrDDDvg9cJSLTMZ5pB3ATgFJqrYj8C1gHBICbtQWfRqPR9D0vLK/kxy+tpbHDHw6zCycLf0gx/7lVYSGWneaizRfAH4wdherwB/n16xsT3nNICSil1IcYml80r/Zwzs+An/VbojQajSbJeWF5JfOfW02H/+Da/x3+EJWNHQARAi0e1nHxOCQBJSKJdTFAKVV/KNfTJDf2roLhOWl85zMT4nQLaA6Ezsejh6H6Ln/y8tqDFk6HikPi6SQGh6pBLcPoZhNgJNBgbucAu4DRvUphEpDowxuID9J+j+w0FyLQ0O7HIUJQKUoHoCBEP2d5fhofb60P90pXNnYw/7nVQLy+64En3nsBhlzl8cLySr7zzEr8ISMnKxs7uO3pFSzdWc9PL53S62vau3Jy01386KJjD+tZ+/M7t65d2diB0D3ScTjp7q/09nTdaC2lpzLR1+nr6Z2/sLyShvaetaDDIdiDs4heeZIQkb8BzyulXjX3zwMuVUrd1NtEDhSzZs1ShzIP6lAFSyJhcLCkuRz84rIpER9bogJokSLwxdkjmTUqL26lejCquXXd0h6e8YyJhbyysqrHisueVksA9oaeKpeeKqQLppbwzoaaQ3pf0QXzgqklPLus8qBajF+aE5nv1jtvbPfHrYB6qpwOJBTiHdPWFcAXp2/fStuB3lc0P3hhNf9cuCsm3OUQvnD8iLh5G4944xV2or/z6ONTBELK+B7PmFgYc1+A+c+tijsGEi8fooV1ogZIT9e0p+lA7xXo8fktBLjaTN/J97wdt7vLKkfWf1qUYYKFx5nCLy+f2uP7jfde0s3rxfuKvjRnJO9sqOmxG+5wKc1J4+P5Zy1TSs2KjuutgFqtlJpyoLCBQETmAb8HHMDflVL39HS8p6RClVz7uwNeNzfdRUGGm83VbX2SzkMhJ83Fih+dC5gt5P9bGXeA8UC4UoRASMX98PoSt0MSVpJ9cW2vx0lju98YbO3ycxB1UhgBThqbx+IdDb3Kw75AgHFFXrZUt/XqXcRrlAxFrHd1KA0yr9tBm2/g7JqsBsjTS3YP2vcwEFiNVkswJ2p49DVWefto68GN9lgNlc/OLOtTAfU68AHwTzPoauA0pdSAOmsVEQewCTgHw4vEEuAqpdS6ROccrIAabNJdxhS19kOpjTUajSaKgW7guBySUPjnpLkAYrT6RAKqtxN1rwIKgefNX5EZNtCcAGxRSm1TSvmApzD88x3xtPtDWjhpNJrDZkD1RBXqUTNtbPfR1Noe3m9o93PbU8txDxt3XLzje2Vmblrr3dqbc/uYUmC3bX8PMDv6ILsvPvewcQOTMo1Go0kiJOhHpRxYpCiHK+rExFZ8h6RBicjvzP+XReSl6N+hXGsgsfviG+y0aDQazdFGaU4a937x+B6FDXDg+CgOVYN6zPz/TY9HDRzaF59Go9EMAvGsQg/GcvFQOCQNSim1zPx/z/oBq4AGc3ugWQJUiMhoEXEDV2L45xuyuB0SNoAAw9qmt6TI4Xn7dQ2gq+DcdBdfmjMyPEhqhf3uC9P53RemU3oAr8aDieMw3tFAUpzp7tPr9fXn0V/ZWFHkpTQnDcFoyUd/Z7295uFe42imNCeN5XeeG2PS/uOLj8V1OJVaFL0agxKRd4GLzfOXAdUi8pFS6n/6LGUHgVIqICK3AK9jmJk/pJRae6DzShPMVUhkOed1O/jZZ6cknBt0sHND4hE90fJgiZ5IdzAtlwPNg/nBC6t5ctHuA85dEsCZwgHNvePdL9Hk0ej5Prc9vaLHa6e7UvC4HN3m5wl8fcXD40zBFwjFnbR8MBM947l9caUILoeEv52wOfPiXQnzKXp+S07UHKry/DQWbms44PtwpQi//tw0Lp1Ryg9eWM3jC3dFDIynCJw4Jo+1e1ti5r9A5Pceb66P/btwiDCmMP2gTebj5WEik2crnTvqOmLmuMVLa0/fs/WdHWzZsLCX9UQkcvvjELA+QSttQI9zCQ8X+zyq7rT1PD8sel5YvDqtp+8WYG+CeVFWvlnzFA+X3pqZL1dKzRCRrwIjlFI/EpFVSqmph52ifuZQJ+oOBAdTiA7G20OignO4M+p7mmHeX94BEk1aLM1J46Pbz4ybzugJwtEThR0iXDV7RK89LMS738FOWu3rWf+D7dEiekJ6dAMh3oTzROcPxDPEK2OD6Wki3vdamkCA9bbMRTdWDkb4Rp+faO5UonJoJ9EihfGoeuQ2uqo2x6hevZ6oC5wLPALcoZRaogXU0GAoVF59QTxhe6BKTzN4HC3fnSaSeBp5T+XQ/h2kHIInmUQCqrfezO/C6Fb7yBROY4DNvbyWpg+5dEbpUVEx2LsKdKU39DlavjtNJD+9dEpcF2qJhJO9UdlbN2d2eqVBHckc7RqURqPRDDQvLK/kW/9aGVcoOUQIKRUWbvHGp/pUgxKR8cBfgGKl1GQRmQpcrJT6aW+uZ17z18BFgA/YClynlGoUkXJgPWCtarVQKfU185zjgIeBNIw1o25VySZxNRqNZhCxNKdEGlNIKbbfc0FEWMxYuVJxTTJ6a0n6N2A+4DeurVZhmHgfDguAyeY41ibz+hZblVLTzd/XbOF/Af4LY6n3CmDeYaZBo9FoNIfAr1/f2KPn/+FRU0gunVHKLy6bEjE1INBcszPeub0dg0pXSi2WyFnBgV5eCwCl1Bu23YXAFT0dLyIlQJZSaqG5/yhwKfDa4aRDo9FoNAdPIpNzMBzHWlN67ESPWcr85rjuz3urQdWKyFjMaQoicgVQ1ctrxeN6IgXNaBFZLiLvicipZlgphu89iz1mWAwicqOILBWRpTU1NX2YTI1Go0luojUkO16387CMZ3oroG4G7gcmikglcBvwtR7PAETkTRFZE+d3ie2YOzC0scfNoCpgpFJqBvA/wBMiknUoibX74issLDyUUzUajUbTA/E0JIumw5yQ3Ftv5tuAs0XEiyHk2jHGoOL2I9rOO7uneBH5CnAhcJZl7KCU6gK6zO1lIrIVGI/hc6/Mdrr2w6fRaDQDzKUzSvnJy2vjLlTZk3Z1MByqN/MsEZkvIn8UkXMwBNO1wBbg84eTEHNl3O9iWAO228ILzYUJMedbVQDblFJVQLOIzBFjMOwa4MXDSYNGo9FoDp0fXXQsaS5HRFiay9GjdnUw9MabeQPwCYb13B0Y7qA+q5RacVgpgT8CHmCBaXxhmZOfBtwlIn4gBHzNXI8K4Ot0m5m/hjaQ0Gg0mgGnvybWH6qAGqOUmgIgIn+ne3yo87BSASil4q4kqJR6Fng2QdxSYPLh3luj0Wg0Q49DFVDhTkalVFBE9vSFcNJoNBrNkUu0m6PKxg7mP7caYECt+KaJSLP5awGmWtsi0tzrVGg0Go3miCXeZN0Of5Bfv74xwRkHxyFpUEopx4GP0mg0Gk0ykWiybk+TeA+GAVxTVaPRaDRHI4nMyQ/XzDzpvJmbXZOHp3ceXRQAtYOdiCGEzo9IdH5EovMjkgKgNiUtK8+ZVTgKkW6lR6lQoLlmZ6gjvhujKEYppWK8KPTWF9+RzEal1KzBTsRQQUSW6vzoRudHJDo/ItH5EUl/54fu4tNoNBrNkEQLKI1Go9EMSZJRQD0w2AkYYuj8iETnRyQ6PyLR+RFJv+ZH0hlJaDQajebIIBk1KI1Go9EcAWgBpdFoNJohSdIIKBGZJyIbRWSLiNw+2OkZKETkIRGpFpE1trA8EVkgIpvN/1wzXETkPjOPVonIzMFLed8jIiNE5B0RWScia0XkVjM8WfMjVUQWi8hKMz9+YoaPFpFF5nM/LSJuM9xj7m8x48sH9QH6CRFxmCt4v2LuJ21+iMgOEVktIitEZKkZNmDlJSkElLme1J+A84BJwFUiMmlwUzVgPAzMiwq7HXhLKVUBvGXug5E/FebvRuAvA5TGgSIAfEspNQmYA9xsfgfJmh9dwJlKqWnAdGCeiMwBfgnca64w0ADcYB5/A9Bght9rHnc0ciuw3raf7PlxhlJqum2+08CVF6XUUf8DTgRet+3PB+YPdroG8PnLgTW2/Y1AibldgjF5GeB+4Kp4xx2NP4wFLs/R+aEA0oFPgdkYnhKcZni47ACvAyea207zOBnstPdxPpSZle6ZwCsY690lc37sAAqiwgasvCSFBgWUArtt+3vMsGSlWBkrEgPsA4rN7aTJJ7M7ZgawiCTOD7M7awVQDSwAtgKNSqmAeYj9mcP5YcY3AfkDmuD+53cYK3uHzP18kjs/FPCGiCwTkRvNsAErL8no6khjQymlRCSp5hqISAbGIpi3KaWazRWcgeTLD6VUEJguIjnA88DEwU3R4CEiFwLVSqllIjJ3kJMzVDhFKVUpIkUYq51vsEf2d3lJFg2qEhhh2y8zw5KV/SJSAmD+V5vhR30+iYgLQzg9rpR6zgxO2vywUEo1Au9gdGHliIjVeLU/czg/zPhsoG5gU9qvnAxcLCI7gKcwuvl+T/LmB0qpSvO/GqMBcwIDWF6SRUAtASpMaxw3cCXw0iCnaTB5CbjW3L4WYyzGCr/GtMaZAzTZVPkjHjFUpQeB9Uqp39qikjU/Ck3NCRFJwxiPW48hqK4wD4vODyufrgDeVuZgw9GAUmq+UqpMKVWOUUe8rZS6miTNDxHxikimtQ2cC6xhIMvLYA/CDeBg3/nAJow+9jsGOz0D+NxPAlWAH6NP+AaMfvK3gM3Am0CeeaxgWDtuBVYDswY7/X2cF6dg9KmvAlaYv/OTOD+mAsvN/FgD3GmGjwEWA1uAZwCPGZ5q7m8x48cM9jP0Y97MBV5J5vwwn3ul+Vtr1ZsDWV60qyONRqPRDEmSpYtPo9FoNEcYWkBpNBqNZkiiBZRGo9FohiRaQGk0Go1mSKIFlEaj0WiGJFpAaTQajWZIogWURqPRaIYk/x+I8Gu2aF3jwAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pandas.plotting import register_matplotlib_converters\n", "from statsmodels.tsa.seasonal import STL\n", "register_matplotlib_converters()\n", "res = STL(emp.Employed,period=12).fit()\n", "res.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Additive and Multiplicative Decompositions\n", "\n", "Additive decomposition:\n", "\n", "$$Y_t=T_t+S_t+R_t$$\n", "\n", "Multiplicative decomposition:\n", "\n", "$$Y_t=T_t\\times S_t\\times R_t$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Simulation\n", "- Trend will be a linear trend\n", "- Seasonal component will be a sine function\n", "- Remainder will just be some random uniform noise" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "import numpy as np\n", "time = np.arange(1,241)\n", "trend = 0.2*time\n", "seasonal = np.sin(np.pi*time/6)+2\n", "remainder = np.random.uniform(1,2,240)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Components" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1,ax2,ax3) = plt.subplots(3,1,figsize=(25, 6))\n", "ax1.plot(time, trend, color = 'black')\n", "ax2.plot(time, seasonal, color = 'black')\n", "ax3.plot(time, remainder, color = 'black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Additive" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y_add = trend+seasonal+remainder\n", "fig, ax = plt.subplots(figsize=(25,6))\n", "ax.plot(time,y_add)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Multiplicative" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y_mult = trend*seasonal*remainder\n", "fig, ax = plt.subplots(figsize=(25,6))\n", "ax.plot(time,y_mult)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Comments\n", "\n", "- For an additive decomposition with an upwards trend:\n", " - The seasonality does not become exaggerated over time\n", " - The variance stays mostly constant\n", "- For a multiplicative decomposition with an upwards trend\n", " - The seasonal pattern becomes more exaggerated over time\n", " - The variance also increases (the line plot \"flares out\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Log Transformation\n", "\n", "The additive and multplicative decompositions are linked by taking a log transformation. Consider:\n", "\n", "$$Y_t=T_t\\times S_t\\times R_t$$\n", "\n", "Taking the logarithm of both sides \n", "\n", "$$log(Y_t)=log(T_t)+ log(S_t)+ log(R_t)$$\n", "\n", "For this to work, all components must be non-negative" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Multiplicative data" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(25,6))\n", "ax.plot(time,y_mult)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Multiplicative data (log scale)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(25,6))\n", "ax.plot(time,np.log(y_mult))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Log transformation\n", "\n", "- The log transformation is generally useful when:\n", " - To reduce fluctuation in the seasonal pattern of data.\n", " - To stabilise the variance of time series.\n", " - To reduce the impact of outliers\n", "- Once we get to forecasting, any additive model can be made into a multiplicative model simply by taking the log transformation." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Your Turn\n", "\n", "- Discuss whether to use an additive or multiplicative decomposition below." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "air=pd.read_csv('data/AirPassengers.csv')\n", "air['Month'] = pd.to_datetime(air['Month'],format = \"%Y-%m\")\n", "fig, (ax1,ax2) = plt.subplots(2,figsize=(15, 5))\n", "ax1.plot(emp.Time, emp.UnemploymentRate, color='black')\n", "ax2.plot(air.Month, air.Passengers, color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Classical Decomposition\n", "\n", "- The classical decomposition was developed in the 1920s.\n", "- It has since been superseeded by more sophisticated methods.\n", "- More modern methods build upon the classical decomposition so it is worth covering in detail.\n", "- We will implement more modern methods but not cover all the algorithmic details." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Moving average\n", "\n", "- The basic idea: trend-cycle components should be smooth.\n", "- One way to smooth a series is to take an order $m$ moving average\n", "\n", "$$T_t = \\frac{1}{m}\\sum_{j=-k}^{k}Y_{t+j}\\quad\\textrm{where }m=2k+1$$\n", "\n", "- This is slightly different to the moving average model you have seen in ARIMA models." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Moving average in Python" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "emp['Unemp5MA'] = emp['UnemploymentRate'].rolling(window=5, center = True).mean()\n", "fig, (ax1,ax2) = plt.subplots(2,figsize=(25, 6))\n", "ax1.plot(emp.Time, emp.UnemploymentRate, color='black')\n", "ax2.plot(emp.Time, emp.Unemp5MA, color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Double moving average\n", "\n", "We can smooth more by taking a moving average again" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "emp['Unemp5x5MA'] = emp['Unemp5MA'].rolling(window=5, center = True).mean()\n", "fig, (ax1,ax2,ax3) = plt.subplots(3,figsize=(25, 5))\n", "ax1.plot(emp.Time, emp.UnemploymentRate, color='black')\n", "ax2.plot(emp.Time, emp.Unemp5MA, color='black')\n", "ax3.plot(emp.Time, emp.Unemp5x5MA, color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Backshift notation\n", "\n", "- To better understand what double MA achieves it is best to use the lag or backshift operator $L$ (sometimes people use $B$).\n", " - $LY_t=Y_{t-1}$\n", " - $L^2Y_t=Y_{t-2}$\n", " - $L^kY_t=Y_{t-k}$\n", " - $L^{-1}Y_t=Y_{t+1}$\n", " - $L^{-k}Y_t=Y_{t+k}$\n", "- Let's write the moving averages in terms of the backshift operator" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## An order 3 MA\n", "\n", "An order 3 MA is given by\n", "\n", "$$\\begin{aligned}Z_t = &\\frac{1}{3}\\left(Y_{t-1}+Y_t+Y_{t+1}\\right)\\\\=&\\frac{1}{3}\\left(LY_t+Y_t+L^{-1}Y_t\\right)\\\\=&\\frac{1}{3}(L+1+L^{-1})Y_t\\end{aligned}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## An 3x3 MA\n", "\n", "Applying an order 3 MA twice gives\n", "\n", "$$\\begin{aligned}W_t = &\\left(\\frac{1}{3}\\right)^2(L+1+L^{-1})(L+1+L^{-1})Y_t\\\\=&\\frac{1}{9}(L^2+L+1+L+1+L^{-1}+1+L^{-1}+L^{-2})Y_t\\\\=&\\frac{1}{9}(L^2+2L+3+2L^{-1}+L^{-2})Y_t\\\\=&\\frac{1}{9}Y_{t-2}+\\frac{2}{9}Y_{t-1}+\\frac{3}{9}Y_{t}+\\frac{2}{9}Y_{t+1}+\\frac{1}{9}Y_{t+2}&\\end{aligned}$$\n", "\n", "The terms towards the edges have a slightly lower weight." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Even MA order\n", "\n", "- Even MA order, can be defined two ways. An MA of order 4 can either be:\n", "\n", "$$Z_t=\\frac{1}{4}(L^2+L^1+1+L^{-1})Y_t\\quad\\textrm{or}\\quad Z_t=\\frac{1}{4}\n", "(L^1+1+L^{-1}+L^{-2})Y_t$$\n", "\n", "- For double moving average (with both orders even) it makes no difference as long as one MA uses more observations from the past and the other uses more from the future. For a 2x4 MA\n", "\n", "$$\\begin{aligned}Z_t=\\frac{1}{16}&(1+L^{-1})(L^2+L^1+1+L^{-1})Y_t\\\\=\\frac{1}{16}&(1+L)(L^1+1+L^{-1}+L^{-2})Y_t\\end{aligned}$$\n", "\n", "- Discussion: the larger orders the better?\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## A 2x12 MA in Python" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pandas.api.indexers import FixedForwardWindowIndexer\n", "indexer = FixedForwardWindowIndexer(window_size=2)\n", "emp['Unemp12MA'] = emp['UnemploymentRate'].rolling(window=12, center = True).mean()\n", "emp['Unemp2x12MA'] = emp['Unemp12MA'].rolling(indexer).mean()\n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(emp.Time, emp.Unemp2x12MA, color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Classical decomposition\n", "\n", "- The first step of the classical decomposition (for montly data) is to find a trend-cycle estimate as a $2\\times12$ MA.\n", "\n", "$$T_t=(1+L^{-1})(L^6+L^5+\\dots+L+1+L^{-1}+\\dots+L^{-4}+L^{-5})Y_t$$\n", "\n", "- This is subtracted from the series for an additive decomposition to get an initial estimate of detrended data. For a multiplicative decomposition divide.\n", "\n", "$$S_t+R_t=Y_t-T_t\\quad\\textrm{or}\\quad S_t\\times R_t=Y_t/T_t$$\n", "\n", "- Lets see what this looks like\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## De-trended Series" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "emp['Detrended']=emp['UnemploymentRate']-emp['Unemp2x12MA'] \n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(emp.Time, emp.Detrended, color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Deseasonalise data\n", "\n", "- To deseasonalise we take monthly averages\n", " - Take average using observations in January only\n", " - Take average using observations in February only\n", " - ...\n", " - Take average using observations in December only\n", "- The averages are then repeated over and over\n", "$$\\dots,S_{\\textrm{Jan}},S_{\\textrm{Feb}},\\dots,S_{\\textrm{Dec}},\\dots,S_{\\textrm{Jan}},S_{\\textrm{Feb}},\\dots,S_{\\textrm{Dec}},\\dots,S_{\\textrm{Jan}},S_{\\textrm{Feb}},\\dots,S_{\\textrm{Dec}},\\dots$$\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## In Python" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "emp['Month'] = pd.DatetimeIndex(emp['Time']).month\n", "seas = emp.groupby(by = [emp.Month]).mean()\n", "emp = emp.merge(seas['Detrended'], how = 'left',left_on='Month', right_on='Month')\n", "emp = emp.rename(columns = {\"Detrended_x\":\"Detrended\", \"Detrended_y\":\"Seasonal\"})\n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(emp.Time, emp.Seasonal, color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Remainder\n", "\n", "- The seasonal terms can be subtracted to obtain the remainder\n", "\n", "$$R_t=Y_t-T_t-S_t$$\n", "\n", "- For a multiplicative model divide to obtain the remainder\n", "\n", "$$R_t=Y_t/(T_t \\times S_t)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Additive Decomposition" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "emp['Remainder'] = emp['UnemploymentRate'] - emp['Unemp2x12MA'] - emp['Seasonal'] \n", "fig, (ax1,ax2,ax3,ax4) = plt.subplots(4,figsize=(25, 6))\n", "ax1.plot(emp.Time, emp.UnemploymentRate, color='black')\n", "ax2.plot(emp.Time, emp.Unemp2x12MA, color='black')\n", "ax3.plot(emp.Time, emp.Seasonal, color='black')\n", "ax4.plot(emp.Time, emp.Remainder, color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Your turn\n", "\n", "Carry out a multiplicative decomposition on the number of employed people data" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "emp_md = emp[['Time','Employed']]\n", "emp_md['Emp12MA'] = emp_md['Employed'].rolling(window=12, center = True).mean()\n", "emp_md['Trend'] = emp_md['Emp12MA'].rolling(indexer).mean()\n", "emp_md['Detrended'] = emp_md['Employed']/emp_md['Trend']\n", "emp_md['Month'] = pd.DatetimeIndex(emp_md['Time']).month\n", "seas_md = emp_md.groupby(by = [emp_md.Month]).mean()\n", "emp_md = emp_md.merge(seas_md['Detrended'], how = 'left',left_on='Month', right_on='Month')\n", "emp_md = emp_md.rename(columns = {\"Detrended_x\":\"Detrended\", \"Detrended_y\":\"Seasonal\"})\n", "emp_md['Remainder'] = emp_md['Employed'] / (emp_md['Trend'] - emp_md['Seasonal']) " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1,ax2,ax3,ax4) = plt.subplots(4,figsize=(25, 6))\n", "ax1.plot(emp_md.Time, emp_md.Employed, color='black')\n", "ax2.plot(emp_md.Time, emp_md.Trend, color='black')\n", "ax3.plot(emp_md.Time, emp_md.Seasonal, color='black')\n", "ax4.plot(emp_md.Time, emp_md.Remainder, color='black')\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Shortcomings of Classical Decomposition\n", "\n", "- The estimate of the trend-cycle is unavailable for the first few and last few observations.\n", " - This makes it particularly poorly suited to forecasting\n", "- Classical decomposition methods assume that the seasonal component repeats from year to year. \n", " - Not robust to outliers/unusual values.\n", "- More sophisticated methods address these issues." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The X-11 Decomposition\n", "\n", "- Developed by U.S. Census Bureau and Statistics Canada in the 1960s\n", "- Full details available in [Chapter 05 \"The Development of Seasonal Adjustment Programs\"](https://www.taylorfrancis.com/chapters/mono/10.4324/9781315550954-10/development-seasonal-adjustment-programs-haim-bleikh-warren-young) of Bleikh, H. Y., & Young, W. L. (2016). _Time series analysis and adjustment: Measuring, modelling and forecasting for business and economics_. Routledge.\n", "- Both moving averages and seasonal averages are used as part of this method" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The X-13ARIMA-SEATS Decomposition\n", "\n", "- Originally developed by the Bank of Spain.\n", "- Further refined by the U.S. Census Bureau.\n", "- Full details can be found [here](https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&cad=rja&uact=8&ved=2ahUKEwj856PL6oD2AhUXTmwGHQUoDvIQFnoECA8QAQ&url=https%3A%2F%2Fwww2.census.gov%2Fsoftware%2Fx-13arima-seats%2Fx-13-data%2Fdocumentation%2Fdocx13as.pdf&usg=AOvVaw385snIwnsI6NI2vu31-P7I) (note this is a 300-page document).\n", "- This algorithm uses seasonal ARIMA modelling which we will cover in a few weeks.\n", "- Both X11 and X-13ARIMA-SEATS are implemented in Python `statsmodels`.\n", "\n", " from statsmodels.tsa import x13" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The STL Decomposition\n", "\n", "- The **S**easonal-**T**rend decomposition based on **L**oess(STL) has some advantages.\n", " - Unlike X-11 and X-13ARIMA-SEATS STL works for data with any seasonal period, not just monthly or quarterly data.\n", " - It can also handle missing values\n", "- It is based on Loess, a non-parametric smoothing technique.\n", "- The full details can be found in the original paper by [Cleveland, R. B., Cleveland, W. S., McRae, J. E., & Terpenning, I. (1990). STL: A Seasonal-Trend Decomposition. Journal of Official Statistics, 6(1), 3-73.](http://www.scb.se/contentassets/ca21efb41fee47d293bbee5bf7be7fb3/stl-a-seasonal-trend-decomposition-procedure-based-on-loess.pdf)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Wrap-up\n", "\n", "- Be aware of:\n", " - The importance of seasonally-adjusting data in certain applications.\n", " - The difference between multiplicative and additive decompositions and their relationship to the log transform.\n", " - The use of moving averages to smooth time series data.\n", " - The importance of seasonal effects that can gradually change over time.\n", "- In your tutorial you will play with the more advanced decomposition methods." ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python3.9-virtualenv", "language": "python", "name": "python3.9-virtualenv" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.17" } }, "nbformat": 4, "nbformat_minor": 4 }