{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exponential smoothing\n", "\n", "Let us consider chapter 7 of the excellent treatise on the subject of Exponential Smoothing By Hyndman and Athanasopoulos [1].\n", "We will work through all the examples in the chapter as they unfold.\n", "\n", "[1] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice. OTexts, 2014.](https://www.otexts.org/fpp/7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading data\n", "\n", "First we load some data. We have included the R data in the notebook for expedience." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.020317Z", "start_time": "2017-12-07T12:39:14.263100Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:15.536975Z", "iopub.status.busy": "2023-05-05T13:49:15.536749Z", "iopub.status.idle": "2023-05-05T13:49:16.877413Z", "shell.execute_reply": "2023-05-05T13:49:16.876744Z" } }, "outputs": [], "source": [ "import os\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from statsmodels.tsa.api import ExponentialSmoothing, SimpleExpSmoothing, Holt\n", "\n", "%matplotlib inline\n", "\n", "data = [\n", " 446.6565,\n", " 454.4733,\n", " 455.663,\n", " 423.6322,\n", " 456.2713,\n", " 440.5881,\n", " 425.3325,\n", " 485.1494,\n", " 506.0482,\n", " 526.792,\n", " 514.2689,\n", " 494.211,\n", "]\n", "index = pd.date_range(start=\"1996\", end=\"2008\", freq=\"A\")\n", "oildata = pd.Series(data, index)\n", "\n", "data = [\n", " 17.5534,\n", " 21.86,\n", " 23.8866,\n", " 26.9293,\n", " 26.8885,\n", " 28.8314,\n", " 30.0751,\n", " 30.9535,\n", " 30.1857,\n", " 31.5797,\n", " 32.5776,\n", " 33.4774,\n", " 39.0216,\n", " 41.3864,\n", " 41.5966,\n", "]\n", "index = pd.date_range(start=\"1990\", end=\"2005\", freq=\"A\")\n", "air = pd.Series(data, index)\n", "\n", "data = [\n", " 263.9177,\n", " 268.3072,\n", " 260.6626,\n", " 266.6394,\n", " 277.5158,\n", " 283.834,\n", " 290.309,\n", " 292.4742,\n", " 300.8307,\n", " 309.2867,\n", " 318.3311,\n", " 329.3724,\n", " 338.884,\n", " 339.2441,\n", " 328.6006,\n", " 314.2554,\n", " 314.4597,\n", " 321.4138,\n", " 329.7893,\n", " 346.3852,\n", " 352.2979,\n", " 348.3705,\n", " 417.5629,\n", " 417.1236,\n", " 417.7495,\n", " 412.2339,\n", " 411.9468,\n", " 394.6971,\n", " 401.4993,\n", " 408.2705,\n", " 414.2428,\n", "]\n", "index = pd.date_range(start=\"1970\", end=\"2001\", freq=\"A\")\n", "livestock2 = pd.Series(data, index)\n", "\n", "data = [407.9979, 403.4608, 413.8249, 428.105, 445.3387, 452.9942, 455.7402]\n", "index = pd.date_range(start=\"2001\", end=\"2008\", freq=\"A\")\n", "livestock3 = pd.Series(data, index)\n", "\n", "data = [\n", " 41.7275,\n", " 24.0418,\n", " 32.3281,\n", " 37.3287,\n", " 46.2132,\n", " 29.3463,\n", " 36.4829,\n", " 42.9777,\n", " 48.9015,\n", " 31.1802,\n", " 37.7179,\n", " 40.4202,\n", " 51.2069,\n", " 31.8872,\n", " 40.9783,\n", " 43.7725,\n", " 55.5586,\n", " 33.8509,\n", " 42.0764,\n", " 45.6423,\n", " 59.7668,\n", " 35.1919,\n", " 44.3197,\n", " 47.9137,\n", "]\n", "index = pd.date_range(start=\"2005\", end=\"2010-Q4\", freq=\"QS-OCT\")\n", "aust = pd.Series(data, index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple Exponential Smoothing\n", "Lets use Simple Exponential Smoothing to forecast the below oil data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.189907Z", "start_time": "2017-12-07T12:39:15.022229Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:16.882539Z", "iopub.status.busy": "2023-05-05T13:49:16.881261Z", "iopub.status.idle": "2023-05-05T13:49:17.177252Z", "shell.execute_reply": "2023-05-05T13:49:17.176500Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\n" ] }, { "data": { "image/png": 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k1JSvTkIQgGERvngsiOUrMfk422DOoJona1/sSsapq4UiR3RnTHaIiMgk3Fq+Yu8r4zA4vDkGdPBGtUrA1F8TUV6lFDuk22KyQ0RERq9B+cqG5StjIJFI8MHgDvBwsEJyTjE+3X5e7JBui8kOEREZNZavjJurnSU+GdYBALD0QApiL+WKHFFDTHaIiMioLdjO8pWxeyzICyM7+wMApq8/CUV5lcgR1cdkh4iIjFbClTwsPVhTvvp4aCjLV0bsnZh28He1xdWCMry/+YzY4dTDZIeIiIzSreWrJyN98WiQp9gh0V3YWcmxcEQYpBJg47EMbDuVJXZIakx2iIjIKC3ccUFdvnr3cZavTEFUC1e81P0BAMD//Z6E60UVIkdUg8kOEREZnWNp+fjx1t5XLF+ZjKm92qBdM0fklVRixm/G0SyUyQ4RERmVut5XqtreV5x9ZVos5VJ8/lQYLGVS7Dybg3VH08UOickOEREZl0U7k3Hpegk8HKzwHstXJinI2xFv9GkDAJjz5xmk55WKGg+THSIiMhqJ6QX4fl9Nn6WPhnSAs62lyBFRYz3/cCA6t3BFSaUSb6w7AaVKvHIWkx0iIjIKFdU3y1eDwn3QO5jlK1Mmk0rw2Ygw2FnKcCQ1Tz0GSwxMdoiIyCh8uSsZyTnFcLe3xOyB7cUOh3TAz9VWvRDkZ/9cwNlrClHiYLJDRESiS8ooxOK9NX/5fzC4A1zsWL4yFyOi/NCrnScqlSpM/TURFdWGbxbKZIeIiERVWa3C9A01YzoeD22GfiHeYodEOiSRSDBvaChc7SxxLqsIi3YmGzwGJjtERCSqr/dcxLmsIrjZWeL9J1i+MkceDlb4aEhNs9Aley/haGqeQc/PZIeIiERz6mohvt1zEQAwZ1AI3OytRI6I9KVfiDeGRfhCJQDT1p1ASUW1wc7NZIeIiERRU746iWqVgAEdvBET2kzskEjPZj0RjObONkjLK8UHf5012HmZ7BARkSi++/cSzl5TwMXWAnMGhYgdDhmAo7UFPh0eCgD45Ugadp/LNsh5mewQEZHBnb2mwFe7awaqvj8oBO4sXzUZ3R5wx3MPtQQAvLUhCXkllXo/J5MdIiIyqCplzeyrapWAvu29MJDlqyZnet+2aO1pj9ziCryzKUnvzUKZ7BARkUEt2XsJp64q4GxrgbmDQyCRSMQOiQzM2kKGz58Kh1wqwdakLGxKvKrX84ma7MyePRsSiaTeKygoSL29vLwcEydOhJubG+zt7TFs2DBkZ9ev76WlpSEmJga2trbw9PTE9OnTUV1tuBHeRESkufNZRfhiV035avbA9vB0sBY5IhJLSHMnTO7ZGgDw3h+nkVlQprdzif5kp3379rh27Zr6deDAAfW2qVOn4s8//8T69euxd+9eZGZmYujQoertSqUSMTExqKysRGxsLFauXIkVK1bgvffeE+NSiIjoLqpry1dVSgG92nliULiP2CGRyF7p8QA6+jujqLwa0zecgEpPzUJFT3bkcjm8vb3VL3d3dwBAYWEhli5dioULF+Kxxx5DZGQkli9fjtjYWBw6dAgA8M8//+DMmTP46aefEB4ejv79+2Pu3Ln45ptvUFl55wFPFRUVUCgU9V5ERKRf3++/jJMZhXC0luPDIR1YviLIZVIsHBEOGwsZDl68gZVxqXo5j+jJTnJyMnx8fBAYGIjRo0cjLS0NAJCQkICqqir06tVLvW9QUBD8/f0RFxcHAIiLi0OHDh3g5XWzM27fvn2hUChw+vTpO55z3rx5cHJyUr/8/Pz0dHVERAQAydlFWLSjpnz13sD28HJk+YpqtHS3w/8NqBnC8vHf53Axp0jn5xA12enSpQtWrFiBbdu24bvvvkNKSgoefvhhFBUVISsrC5aWlnB2dq73GS8vL2RlZQEAsrKy6iU6ddvrtt3JjBkzUFhYqH6lp6fr9sKIiEhNqRIwfcNJVCpVeLStB4ZFNBc7JDIyz3QNwCNtPFBRrcK0dSdQpVTp9PhynR5NS/3791f/OzQ0FF26dEFAQADWrVsHGxsbvZ3XysoKVlZc04GIyBCWHriMxPQCOFjLMW9oKMtX1IBEIsH8YaHou2gfTmYU4uvdFzG1dxudHV/0MtatnJ2d0aZNG1y8eBHe3t6orKxEQUFBvX2ys7Ph7V3TEdfb27vB7Ky6r+v2ISIi8VzMKcaCfy4AAN6NCYa3E8tXdHveTtaYO7hmJe2v91xEYnqBzo5tVMlOcXExLl26hGbNmiEyMhIWFhbYtWuXevv58+eRlpaG6OhoAEB0dDSSkpKQk5Oj3mfHjh1wdHREcHCwweMnIqKblCoBb204gcpqFR5p44HhUb5ih0RG7okwHwwM84FSJWDaukSUVSp1clyty1gVFRU4fPgwrly5gtLSUnh4eKBjx45o2bKl1id/8803MXDgQAQEBCAzMxOzZs2CTCbDyJEj4eTkhOeeew7Tpk2Dq6srHB0d8frrryM6Ohpdu3YFAPTp0wfBwcEYM2YM5s+fj6ysLLzzzjuYOHEiy1RERCJbfjAFx9IKYG8lx8dDOfuKNDN3UHscSbmBy9dL8Mm2c5j9RPv7PqbGyc7BgwfxxRdf4M8//0RVVRWcnJxgY2ODvLw8VFRUIDAwEC+++CJefvllODg4aHTMjIwMjBw5Ejdu3ICHhwceeughHDp0CB4eHgCAzz//HFKpFMOGDUNFRQX69u2Lb7/9Vv15mUyGLVu24JVXXkF0dDTs7Owwbtw4zJkzR8vbQEREupSSW4JPt58HAMyMaQcfZ/2NwyTz4mxriU+fDMPYZUewIjYVPdt54uHWHvd1TImgQUOKJ554AseOHcOoUaMwcOBAREVF1RtAfPnyZezfvx+//PILTpw4gVWrVqF37973FZghKRQKODk5obCwEI6OjmKHQ0Rk0lQqAU99H4f41Hw81Modq5/rzKc6pLV3N53C6kNX4O1oje1THoGTrUWDfTT9/a3Rk52YmBhs3LgRFhYNTwQAgYGBCAwMxLhx43DmzBlcu3ZNw0shIiJzszIuFfGp+bCzlGEey1fUSDMGBOHAxVyk5JZg1uZTWPR0x0YfS6MByi+99NIdE53/Cg4ORs+ePRsdEBERma4rN0owf1tN+WrGgHbwc7UVOSIyVbaWciwcEQapBNiUmIm/Tjb+QYrWs7HS09ORkZGh/vrIkSOYMmUKvv/++0YHQUREpk+lEvDWhpMoq1IiOtANozr7ix0SmbiO/i6Y+GgrAMDMTUnIUZQ36jhaJzujRo3Cnj17ANSsUty7d28cOXIEM2fO5MBgIqIm7KfDV3A4JQ+2ljLMfzIUUinLV3T/JvVsjZDmjigorcJbG09Cg6HGDWid7Jw6dQqdO3cGAKxbtw4hISGIjY3FmjVrsGLFCq0DICIi05eeV4qP/z4HAHi7XxDLV6QzFjIpPh8RDku5FP+ev46fj6RpfQytk52qqir1GjY7d+7EE088AaCmSScHJhMRNT2CIODtjSdRWqlE55auGNM1QOyQyMy09nLAW33bAgA+2HIWqbklWn1e62Snffv2WLx4Mfbv348dO3agX79+AIDMzEy4ublpezgiIjJxPx9JQ+ylG7C2kOJTlq9ITyY82BLRgW4oq1Ji2rpEKFWal7O0TnY++eQTLFmyBD169MDIkSMRFhYGANi8ebO6vEVERE1DRn4pPvrrLADgrb5BCHCzEzkiMldSqQQLRoTBwUqOY2kFWLz3ksaf1WhRwf9SKpVQKBRwcXFRv5eamgpbW1t4enpqezjRcVFBIiLtCYKAscuOYH9yLjq1cMGvL0bzqQ7p3YaEDLy5/gQsZBL8NLYDugb53/P3d6MagQqCgISEBCxZsgRFRUUAAEtLS9jackAaEVFT8Wt8OvYn58JKLsX8J8OY6JBBDItojr7tvVClFDDjtySNPqN1I9ArV66gX79+SEtLQ0VFBXr37g0HBwd88sknqKiowOLFi7UOnIiITEtmQRk+qC1fTe/bFi3dWb4iw5BIJPhoSAckXCnAxZx8jT6j9ZOdyZMnIyoqCvn5+fX6Yw0ZMgS7du3S9nBERGRiBKHmL+riimpE+Dtj/IMtxQ6Jmhg3eyt8PLSDxvtr/WRn//79iI2NhaWlZb33W7RogatXr2p7OCIiMjHrEzKw98J1WNaWr2QsX5EIegV7Yem4KPRZdO99tX6yo1KpoFQqG7yfkZEBBwcHbQ9HREQmJKuwHHO3nAEAvNG7DVp52oscETVlXQI1W/JG62SnT58+WLRokfpriUSC4uJizJo1CwMGDND2cEREZCIEQcD//Z6EovJqhPk54/mHA8UOiUgjWpexPvvsM/Tt2xfBwcEoLy/HqFGjkJycDHd3d/zyyy/6iJGIiIzA78evYve5HFjKpFjwZCjLV2QytE52fH19ceLECaxduxYnT55EcXExnnvuOYwePbregGUiIjIfOYpyzN58GgAwuVdrtPbisAUyHVonOwAgl8vxzDPP6DoWIiIyQjXlq1NQlFejQ3MnvPQIy1dkWhqV7CQnJ2PPnj3IycmBSqWqt+29997TSWBERGQcNp/IxM6z2bCQSbBgeBjkskatR0skGq2TnR9++AGvvPIK3N3d4e3tDYnkZs1WIpEw2SEiMiM5ReWYVVu+mvRYa7T1ZvmKTI/Wyc4HH3yADz/8EG+//bY+4iEiIiMhCALe3XQKBaVVaO/jiJd7PCB2SESNovWzyPz8fAwfPlwfsRARkRHZcvIatp/OhlwqwadPhsGC5SsyUVr/lzt8+HD8888/+oiFiIiMRG5xhbp89dpjrRDsc+eO0kTGTusyVqtWrfDuu+/i0KFD6NChAywsLOptnzRpks6CIyIiccz64zTySioR5O2AV3u0EjscovsiEQRB0OYDLVveueGbRCLB5cuX7zsoQ1MoFHByckJhYSEcHfnXCxE1bVuTruHVNccgk0rwx8QHEdLcSeyQiG5L09/fWj/ZSUlJua/AiIjIeOWVVOLdTacAAK/2eICJDpkFjjYjIiK1WZtP40ZJJdp6OeC1x1i+IvOg9ZMdpVKJFStWYNeuXbddVHD37t06C46IiAxn26ks/HkiEzKpBJ8OD4WVXCZ2SEQ6oXWyM3nyZKxYsQIxMTEICQmpt6ggERGZpvySSrxTW7566ZFAhPo6ixsQkQ5pneysXbsW69atw4ABA/QRDxERiWDOljPILa5Aa097TO7VWuxwiHRK6zE7lpaWaNWKdVwiInOx40w2fj9+FVIJ8OnwMJavyOxoney88cYb+OKLL6DljHUiIjJChaVVmPl7EgDghUcCEe7nLG5ARHqgdRnrwIED2LNnD/7++2+0b9++waKCv/32m86CIyIi/Zqz5QxyiirwgIcdpvZqI3Y4RHqhdbLj7OyMIUOG6CMWIiIyoN3nsrHxWAYkEmD+k2GwtmD5isyT1snO8uXL9REHEREZUGFZFf7vt5rZV88/1BKRAS4iR0SkP1onO3WuX7+O8+fPAwDatm0LDw8PnQVFRET69eFfZ5ClKEdLdzu80aet2OEQ6ZXWA5RLSkowYcIENGvWDI888ggeeeQR+Pj44LnnnkNpaak+YiQiIh3693wO1h2tK1+FsnxFZk/rZGfatGnYu3cv/vzzTxQUFKCgoAB//PEH9u7dizfeeEMfMRIRkY4oyqsw47ea2VfPdmuBTi1cRY6ISP+0LmNt3LgRGzZsQI8ePdTvDRgwADY2NhgxYgS+++47XcZHREQ6NG/rWVwrLEeAmy2m92X5ipoGrZ/slJaWwsvLq8H7np6eLGMRERmxA8m5+OVIOgBg/rBQ2Fo2etgmkUnROtmJjo7GrFmzUF5ern6vrKwM77//PqKjo3UaHBER6c4Xuy4AAMZFB6BLoJvI0RAZjtZp/aJFi9CvXz/4+voiLCwMAHDixAlYW1tj+/btOg+QiIjuX3mVEifSCwEA4x9sKXI0RIaldbLToUMHJCcnY82aNTh37hwAYOTIkRg9ejRsbGx0HiAREd2/pKuFqFSq4G5vhQA3W7HDITIorZOdffv2oVu3bnjhhRfqvV9dXY19+/bhkUce0VlwRESkG0dT8wEAUQEukEgkIkdDZFhaj9l59NFHkZeX1+D9wsJCPProozoJioiIdOtoas3P7agWXCmZmh6tkx1BEG77V8GNGzdgZ2enk6CIiEh3VCoBCWk1T3bYFoKaIo3LWEOHDgUASCQSPPvss7CyslJvUyqVOHnyJLp166b7CImI6L5czi1GQWkVrC2kaO/jJHY4RAancbLj5FTzDSIIAhwcHOoNRra0tETXrl0bjOMhIiLx1Y3XCfN1hqVc6wf6RCZP42Snrtt5ixYt8Oabb7JkRURkIo5eqR2czPE61ERpPRtr1qxZ+oiDiIj0RD04OYB9sKhp4vNMIiIzdr2oAqk3SiGRABH+fLJDTROTHSIiM5ZQW8Jq4+kAJ1sLkaMhEgeTHSIiM5ZwpaaEFcnxOtSEaZTsuLq6Ijc3FwAwYcIEFBUV6TUoIiLSjfhbVk4maqo0SnYqKyuhUCgAACtXrqzX8VxXPv74Y0gkEkyZMkX9XlZWFsaMGQNvb2/Y2dkhIiICGzdurPe5vLw8jB49Go6OjnB2dsZzzz2H4uJincdHRGRqyquUOJ1Z0/yzUwsOTqamS6PZWNHR0Rg8eDAiIyMhCAImTZp0x6afy5Yt0zqI+Ph4LFmyBKGhofXeHzt2LAoKCrB582a4u7vj559/xogRI3D06FF07NgRADB69Ghcu3YNO3bsQFVVFcaPH48XX3wRP//8s9ZxEBGZkxPpBahSCvB0sIKvCxs1U9Ol0ZOdn376CQMGDEBxcTEkEgkKCwuRn59/25e2iouLMXr0aPzwww9wcan/mDU2Nhavv/46OnfujMDAQLzzzjtwdnZGQkICAODs2bPYtm0bfvzxR3Tp0gUPPfQQvvrqK6xduxaZmZl3PGdFRQUUCkW9FxGRubl1fR02/6SmTKMnO15eXvj4448BAC1btsTq1avh5uamkwAmTpyImJgY9OrVCx988EG9bd26dcOvv/6KmJgYODs7Y926dSgvL0ePHj0AAHFxcXB2dkZUVJT6M7169YJUKsXhw4cxZMiQ255z3rx5eP/993USPxGRsapbXyeS6+tQE6f1ooIpKSk6O/natWtx7NgxxMfH33b7unXr8NRTT8HNzQ1yuRy2trb4/fff0apVKwA1Y3o8PT3rfUYul8PV1RVZWVl3PO+MGTMwbdo09dcKhQJ+fn46uCIiIuOgUgnqaeedOBOLmrhGTT3fu3cvBg4ciFatWqFVq1Z44oknsH//fq2OkZ6ejsmTJ2PNmjWwtra+7T7vvvsuCgoKsHPnThw9ehTTpk3DiBEjkJSU1Jiw1aysrODo6FjvRURkTi5eL4aivBo2FjK0a8afcdS0aZ3s/PTTT+jVqxdsbW0xadIk9WDlnj17ajUoOCEhATk5OYiIiIBcLodcLsfevXvx5ZdfQi6X49KlS/j666+xbNky9OzZE2FhYZg1axaioqLwzTffAAC8vb2Rk5NT77jV1dXIy8uDt7e3tpdGRGQ26pp/hvs5w0LGJdWoadO6jPXhhx9i/vz5mDp1qvq9SZMmYeHChZg7dy5GjRql0XF69uzZ4AnN+PHjERQUhLfffhulpaUAAKm0/jepTCaDSqUCUDNLrKCgAAkJCYiMjAQA7N69GyqVCl26dNH20oiIzIa6HxZLWETaJzuXL1/GwIEDG7z/xBNP4P/+7/80Po6DgwNCQkLqvWdnZwc3NzeEhISgqqoKrVq1wksvvYQFCxbAzc0NmzZtwo4dO7BlyxYAQLt27dCvXz+88MILWLx4MaqqqvDaa6/h6aefho+Pj7aXRkRkNm7OxOLgZCKtn236+flh165dDd7fuXOnTgf5WlhYYOvWrfDw8MDAgQMRGhqKVatWYeXKlRgwYIB6vzVr1iAoKAg9e/bEgAED8NBDD+H777/XWRxERKYmp6gcaXk1zT87+juLHQ6R6LR+svPGG29g0qRJSExMRLdu3QAABw8exIoVK/DFF1/cVzD//vtvva9bt27dYMXk/3J1deUCgkREt0ioHa/T1ssBjtZs/kmkdbLzyiuvwNvbG5999hnWrVsHoKac9Ouvv2LQoEE6D5CIiLSj7ofF8TpEABqR7ADAkCFD7rhgHxERiauu0zn7YRHV4HxEIiIzUlapxOnMmhY4kex0TgSAyQ4RkVlJTC9AtUqAt6M1mjuz+ScRwGSHiMisqPthsfknkRqTHSIiM1K3vk4nlrCI1O472VEqlUhMTER+fr4u4iEiokZSqQQcS+NigkT/pXWyM2XKFCxduhRATaLTvXt3REREwM/Pr8E6OUREZDgXcopQVF4NW0sZgrwdxA6HyGhonexs2LABYWFhAIA///wTKSkpOHfuHKZOnYqZM2fqPEAiItJM3fo6Hf2dIWfzTyI1rb8bcnNz1R3Ft27diuHDh6NNmzaYMGFCg8aeRERkOAl1g5MDWMIiupXWyY6XlxfOnDkDpVKJbdu2oXfv3gCA0tJSyGQynQdIRESaUQ9O5srJRPVovYLy+PHjMWLECDRr1gwSiQS9evUCABw+fBhBQUE6D5CIiO4tq7AcGfllkEqAjv5MdohupXWyM3v2bISEhCA9PR3Dhw+HlZUVAEAmk+F///ufzgMkIqJ7O1rbIiLI2xH2Vo3qBERkthr1HfHkk082eG/cuHH3HQwRETXOUTb/JLqjRiU7u3btwq5du5CTkwOVSlVv27Jly3QSGBERaS7hCtfXIboTrZOd999/H3PmzEFUVJR63A4REYmnpKIaZ67VNP+M4srJRA1onewsXrwYK1aswJgxY/QRDxERaSkxvQBKlQAfJ2v4sPknUQNaTz2vrKxEt27d9BELERE1Qt14nUiWsIhuS+tk5/nnn8fPP/+sj1iIiKgR6mZicX0dotvTuoxVXl6O77//Hjt37kRoaCgsLCzqbV+4cKHOgiMiortTqgQcTysAAERyvA7RbWmd7Jw8eRLh4eEAgFOnTtXbxsHKRESGdS5LgeKKathbyRHk7Sh2OERGSetkZ8+ePfqIg4iIGqFuynlHf2fIpPyDk+h27qstbkZGBjIyMnQVCxERaUm9mCCbfxLdkdbJjkqlwpw5c+Dk5ISAgAAEBATA2dkZc+fObbDAIBER6dfNxQQ5XofoTrQuY82cORNLly7Fxx9/jAcffBAAcODAAcyePRvl5eX48MMPdR4kERE1lFlQhqsFZZBJJQj3cxY7HCKjpXWys3LlSvz444944okn1O+FhoaiefPmePXVV5nsEBEZyNHapzrtmjnAjs0/ie5I6zJWXl4egoKCGrwfFBSEvLw8nQRFRET3lpBa8zOX43WI7k7rZCcsLAxff/11g/e//vprhIWF6SQoIiK6t6Mcr0OkEa2fe86fPx8xMTHYuXMnoqOjAQBxcXFIT0/H1q1bdR4gERE1VFxRjbPq5p98skN0N1o/2enevTsuXLiAIUOGoKCgAAUFBRg6dCjOnz+Phx9+WB8xEhHRfxxPy4dKAJo728DbyVrscIiMWqNGtPn4+HAgMhGRiOrW12E/LKJ70yjZOXnyJEJCQiCVSnHy5Mm77hsaGqqTwIiI6M7q1tdhp3Oie9Mo2QkPD0dWVhY8PT0RHh4OiUQCQRAa7CeRSKBUKnUeJBER3VStVOFYWt3KyXyyQ3QvGiU7KSkp8PDwUP+biIjEcy6rCKWVSjhYydHGy0HscIiMnkbJTkBAwG3/TUREhne0dn2diAAXNv8k0oBGyc7mzZs1PuCtKysTEZHuqdfXYQmLSCMaJTuDBw/W6GAcs0NEpF+CIKhnYkVyJhaRRjRKdtjNnIjIOFwtKEOWopzNP4m0oPWigkREJJ66KechPo6wtWTzTyJNaPSd8uWXX2p8wEmTJjU6GCIiujt1CYstIog0plGy8/nnn2t0MIlEwmSHiEiP4us6nXO8DpHGNF5nh4iIxKUor8L57CIAnIlFpA2O2SEiMhHH0wogCIC/qy08Hdn8k0hTGj3ZmTZtGubOnQs7OztMmzbtrvsuXLhQJ4EREVF9CXUlLD7VIdKKRsnO8ePHUVVVpf73nUgkXMmTiEhfjl7h+jpEjaFRsrNnz57b/puIiAyjSqnC8bQCAEAUZ2IRaYVjdoiITMDZawqUVSnhaC1Ha097scMhMilar0hVXl6Or776Cnv27EFOTk6D1ZWPHTums+CIiKjGzfV1XCBl808irWid7Dz33HP4559/8OSTT6Jz584cp0NEZAB1KydHtWAJi0hbWic7W7ZswdatW/Hggw/qIx4iIvoPQRDUiwlGciYWkda0HrPTvHlzODg46CMWIiK6jYz8MuQUVcBCJkGYr7PY4RCZHK2Tnc8++wxvv/02rly5oo94iIjoP45eqXmq097HCTaWMpGjITI9WpexoqKiUF5ejsDAQNja2sLCwqLe9ry8PJ0FR0RENwcnczFBosbROtkZOXIkrl69io8++gheXl4coExEpGfqZIeLCRI1itbJTmxsLOLi4hAWFqbTQD7++GPMmDEDkydPxqJFi9Tvx8XFYebMmTh8+DBkMhnCw8Oxfft22NjYAKh5kvT666/jzz//hFQqxbBhw/DFF1/A3p7rUBCR6Sssq8KFnJrmn5FcTJCoUbQesxMUFISysjKdBhEfH48lS5YgNDS03vtxcXHo168f+vTpgyNHjiA+Ph6vvfYapNKbYY8ePRqnT5/Gjh07sGXLFuzbtw8vvviiTuMjIhLLsbR8CALQws0WHg5WYodDZJK0frLz8ccf44033sCHH36IDh06NBiz4+joqNXxiouLMXr0aPzwww/44IMP6m2bOnUqJk2ahP/973/q99q2bav+99mzZ7Ft2zbEx8cjKioKAPDVV19hwIABWLBgAXx8fG57zoqKClRUVKi/VigUWsVMRGQoCerFBPlUh6ixtH6y069fP8TFxaFnz57w9PSEi4sLXFxc4OzsDBcX7evJEydORExMDHr16lXv/ZycHBw+fBienp7o1q0bvLy80L17dxw4cEC9T1xcHJydndWJDgD06tULUqkUhw8fvuM5582bBycnJ/XLz89P67iJiAyhbn0djtchajytn+zoshHo2rVrcezYMcTHxzfYdvnyZQDA7NmzsWDBAoSHh2PVqlXo2bMnTp06hdatWyMrKwuenp71PieXy+Hq6oqsrKw7nnfGjBmYNm2a+muFQsGEh4iMTpVShRMZBQCATkx2iBpN62Sne/fuOjlxeno6Jk+ejB07dsDa2rrB9rqeWy+99BLGjx8PAOjYsSN27dqFZcuWYd68eY0+t5WVFaysWPsmIuN2OlOB8ioVnG0tEOjOSRdEjaVRGSstLU2rg169evWe+yQkJCAnJwcRERGQy+WQy+XYu3cvvvzyS8jlcnh5eQEAgoOD632uXbt26ni8vb2Rk5NTb3t1dTXy8vLg7e2tVcxERMbmaF2LCH82/yS6HxolO506dcJLL71023JTncLCQvzwww8ICQnBxo0b73nMnj17IikpCYmJiepXVFQURo8ejcTERAQGBsLHxwfnz5+v97kLFy4gICAAABAdHY2CggIkJCSot+/evRsqlQpdunTR5NKIiIyWutM5S1hE90WjMtaZM2fw4Ycfonfv3rC2tkZkZCR8fHxgbW2N/Px8nDlzBqdPn0ZERATmz5+PAQMG3POYDg4OCAkJqfeenZ0d3Nzc1O9Pnz4ds2bNQlhYGMLDw7Fy5UqcO3cOGzZsAFDzlKdfv3544YUXsHjxYlRVVeG1117D008/fceZWEREpkAQBByt7XTeiZ3Oie6LRsmOm5sbFi5ciA8//BB//fUXDhw4gCtXrqCsrAzu7u4YPXo0+vbt2yB5uV9TpkxBeXk5pk6diry8PISFhWHHjh144IEH1PusWbMGr732Gnr27KleVPDLL7/UaRxERIaWlleK3OIKWMqk6NDcSexwiEyaRBAEQewgxKZQKODk5ITCwkKt1wkiItKHjQkZeGP9CUT4O+O3Vx8UOxwio6Tp72+t19khIiL9q+t0HsUSFtF9Y7JDRGSE2OmcSHeY7BARGZmC0kok5xQDACKZ7BDdNyY7RGbmRHoBEmpLIGSajqXVPNUJdLeDmz0XQCW6X0x2iMxITlE5RiyJw5OL47Dt1J1bppBxi1c3/+RTHSJd0Gjq+ebNmzU+4BNPPNHoYMh8qFQCCsqqcKO4ArnFlbhRUoH8kkp0CXRDGy8HscMzW78cTkdFdU2rlclrj+PnF7ryF6YJqut0zvV1iHRDo2Rn8ODBGh1MIpFAqVTeTzxkpARBQGmlEjeKK5FbUoEbxZW4UVyBGyWVyC2u/br2/dziSuSVVEB1m0UNPB2scODtx2Ap50NFXausVmHN4SsAAD9XG6TnleH5lfHY+Eo3BHqwr5KpqKy+2fyTKycT6YZGyU5dU04yL1VKFfLukKzUJTK3Ppkpr9L+vwNnWwu42VnCzd4K57OKkFNUga1J1zC4Y3M9XFHTtv10FnKKKuDhYIUtrz+MsUsP40RGIcYtP4LfXnkQHg4c+2EKTmUWoqJaBVc7SwS624kdDpFZ0LrrORkvlUqAorzqjslKzdOYm09mCsuqtD6HtYUU7vZWcLO3grudJdzsaxIZNzvL2vct4WZnBXd7S7jYWcJCdvMJzte7k7HgnwtYfjAFg8J9IJGwsaEurYxNBQCM7uIPJxsLLH22E4Z+G4u0vFI8tzIea1/sCltLfssbu7rmnxH+LvweIdIRjX7yffnll3jxxRdhbW19z1YMkyZN0klgdGe5xRVYHXcFV26U1JaRapKavJJKVN+udnQXMqkErnaWDZIVN3tLuNf7d83/3s8vy5Gd/fHl7os4kVGIY2kFHEuiQ6euFuLolXzIpRKM6uwPAHC3t8LKCZ0x9NuDOJlRiNd+Po7vx0RCLmMJ0ZgdVY/X4fcHka5o9Jvr888/x+jRo2FtbY3PP//8jvtJJBImO3pUXqXE8oOp+GbPRRRXVN9xP0dreYPExc3e6j/JS82/nWwsIJUa5q9HN3srDArzwfqEDKyITWWyo0Or4lIBAAM6NIOno7X6/Zbudlj6bCeM/P4Qdp/Lwbt/nMJHQzrwiYGREgQBCbXNP6OY7BDpjEbJTkpKym3/TYYhCAL+SrqGj/8+h4z8MgBAh+ZOGBjWTF1Sqnsy42pnadSDf599sAXWJ2Tg76RryBrQDt5O1vf+EN1Vfkkl/kjMBACM6xbQYHuEvwu+GtkRL/+UgF+OpKO5sw1ee6y1ocMkDaTeKMWNkkpYyqUIYfNPIp1pdE0iNzcXAODu7q6zYKihxPQCzN1yRv3XnpejFd7qG4QhHZsb7ImMLrX3cULnlq44kpKH1YdSMb1vkNghmbxfj9ZMNw9p7ogI/9s/DejT3huzn2iP9/44jQX/XIC3kw2ejPQ1cKR0L/G143VCmzvBSi4TORoi86HVI4CCggJMnDgR7u7u8PLygpeXF9zd3fHaa6+hoKBATyE2TZkFZZiy9jgGf3MQCVfyYWMhw5RerbHnzR4YFulrkolOnQkPtgAA/Hw4DeVVXKrgfihVAlbH1Uw3Hxfd4q7lqbHRLfBy9wcAAP/beBL7k68bJEbSXN36Omz+SaRbGj/ZycvLQ3R0NK5evYrRo0ejXbt2AIAzZ85gxYoV2LVrF2JjY+Hiwjrz/SipqMbivZfw/b7L6sXhhkX4YnrftmZT8unVzgvNnW1wtaAMmxMzMaKTn9ghmaxdZ7NxtaAMLrYWGBjmc8/93+rbFtcKy/BHYiZe+ekYfn2pK9r7sFxiLNSdzjmejUinNE525syZA0tLS1y6dAleXl4NtvXp0wdz5sy56wBmujOlSsDGhAx8+s95XC+qAAB0bumKd2OC0cHXvH4ZyWVSjI0OwLy/z2HZwRQMj/LlgNlGWlk7MPnpzv6wtrh32UMqlWD+k6HIUVQg7vINjF8ej98nPojmzjZ6jpTuJa+kEpeulwBgmwgiXdO4jLVp0yYsWLCgQaIDAN7e3pg/fz5+//13nQbXVMReysXArw7grY0ncb2oAv6utlj8TAR+fbGr2SU6dZ7u5A8bCxnOZRXhcAqbVjZGcnYRDl68AamkZm0dTVnJZVg8JhJtvRyQU1SBZ5cdQWGp9msukW7Vjct7wMMOLnaWIkdDZF40TnauXbuG9u3b33F7SEgIsrLYeFAbl68X44VVRzHqh8M4c00BB2s5Zg5ohx3THkG/kGZm/bTDydYCQyNqVlFefpAz/BpjVe1Ynd7BXvB1sdXqs042Flg+vhO8Ha2RnFOMF1YfRUU1x0+J6WYJi+N1iHRN42TH3d0dqampd9yekpICV1d+k2qioLQSc/48gz6f78OOM9mQSSUYGx2AvdMfxQuPBDaZWRjPdmsBANhxJhvpeaXiBmNiFOVV2HgsAwAwrvY+asvH2QYrJnSCg5UcR1Ly8Ma6E1BpuSgl6c7NwcksYRHpmsbJTt++fTFz5kxUVlY22FZRUYF3330X/fr102lw5qZKqcLygynoseBfLDuYgmqVgEfbemD7lIcxZ1AIXJvYo+vWXg54uLU7VAKw+tAVscMxKRsTMlBaqUQbL3tEB7o1+jhB3o5YMiYSFjIJtpy8ho+3ndNhlKSp8iolTmYUAuBMLCJ90GqAclRUFFq3bo2JEyciKCgIgiDg7Nmz+Pbbb1FRUYHVq1frM1aTJQgCdp3NwUdbz+Jybs0AxLZeDpgZ0w6PtPEQOTpxjX+wBfYn52LtkTRM6dWavZs0oFIJ6hLW2HtMN9dEt1bu+PTJMEz5NRHf77uMZk7WGP9gS12ESho6dbUQlUoV3Ows0cJNu5IkEd2bxr9ZfH19ERcXh1dffRUzZsyAINQ87pZIJOjduze+/vpr+PlxCvF/nclU4MOtZ3Dw4g0AgJudJab1aYOnovzYowhAjzaeaOFmi9Qbpdh47CrGdG24AjDVt/9iLlJyS+BgLccQHXWPH9yxOTILyzB/23nM2XIGzZys0S+kmU6OTfd2tHZwcmQAm38S6YNWf0a3bNkSf//9N/Lz85GcnAwAaNWqFcfq3EZOUTkW/nMBvx5NhyAAljIpJjzUEhMffQAO1hZih2c0pFIJxnVrgff/PIMVB1PwTBd//rC/h7ru5sMj/WBnpbsnYa90fwCZBWX46VAaJq9NxJrnrVhSMZCbzT95v4n0oVE/KV1cXNC5c2ddx2IWyquUWHogBd/uuYiSyprZLTGhzfC/fkHwc+Xj6dt5MtIXn/1zAZeul2B/cm6TL+3dzZUbJdhzPgcAMCZat0/BJBIJ3n8iBFmFFdh5NhvPrzqKja90wwMe9jo9D9VX0/yzZiZWJAcnE+kF6yg6IggC/ki8ip6f7cWn28+jpFKJMD9nbHwlGt+MimCicxcO1hbqPk2chn53q+OuQBCAHm090NLdTufHl0kl+GpkR4T7OaOgtArjlh1BTlG5zs9DN126XoL80ipYyaUI4WrWRHrBZEcHEq7kY+h3sZi8NhFXC8rg42SNL54Ox++vdEMk18zQyLPdWkAiAfacv46U2kHcVF9pZTXWHU0H0Pjp5pqwsZRh6bgotHCzRUZ+GZ5bcRQlFdV6O19TV/dUJ8zXGZZy/kgm0gd+Z92HjPxSvP7LcQz7LhbH0wpgaynDG73bYNcbPTAo3DS7koulhbsdHm3rCeDmmBSqb9PxTCjKq9HCzRbdW+u31Odmb4UV4zvD1c4SSVcLMfHnY6hWqvR6zqbqKNfXIdI7JjuNUFRehfnbzuGxz/bizxOZkEiAp6L88O+bPfB6z9awsWwaiwLq2vjabujrj6ZDUc72BbcSBEGdBI6JbmGQRLqFux2WjouCtYUU/56/jnc2nVLPwiTdqWsTwWSHSH+Y7GhBqRLwy5E0PLrgX3z77yVUVqsQHeiGLa8/hE+eDIWno3l0JRfLQ63c0crTHiWVSmw4miF2OEbl0OU8nM8ugo2FTD2+yRA6+rvgq5ERkEqAtfHp+Gr3RYOduynILa5Qr70V4c9kh0hfmOxo6EByLmK+3I8ZvyUht7gSLd3t8MPYKPz8Qhe056BCnZBIJOoWEivjUqFk6wK1VbXdzYdGNIeTjWGXLugd7IU5g0IAAAt3XMD62nFDdP/qnuq09rSHs23TWkGdyJCY7NzDxZxiPLciHs8sPYxzWUVwsrHAe48HY/uUR9A72ItrwujY0IjmcLSW48qNUuw5lyN2OEYhs6AM/5zJBqDfgcl380zXALza4wEAwIzfkrD3wnVR4jA3N0tYnMhApE9Mdu4gv6QSszefRr9F+7DrXA7k0pqnDnun98CEh1py1oSe2FrKMbKzPwBgBQcqAwDWHL4CpUpAdKAb2ng5iBbH9L5tMTjcB9UqAa/+lIBTVwtFi8VcHE2t63TOEhaRPvE39n9UVqvw4/7L6P7pHqyITUW1SkCvdl7YPvURzH6iPR81G8CY6ABIJcCBi7m4kF0kdjiiKq9S4pcj+p9urgmJRIL5T4ah2wNuKKlUYvyKeGTks1t9Y5VXKZF0ta75J5MdIn1isnOLnWez0efzvfjgr7NQlFcjyNsBa57vgh/HRXEVWQPydbFFn2BvAHy689fJa8grqYSPkzV6tfMUOxxYyqVYPCYSQd4OuF5UgWeXx6OgtFLssEzSyYxCVCkFuNtbwZ+LjhLpFZOdW0xZm4jUG6Vwt7fCJ8M64K9JD+PBVu5ih9Uk1U1D/+1YRpP9ZSoIAlbWDkx+JjrAaBrHOlpbYPn4TvB2tMbFnGK8uCoB5VVKscMyOUdrFxPs1ILNP4n0zTh+ehoJS7kUrz3aCv9O74GnOvlDxkUBRdO5pSvaNXNEeZUKa+Ob5uyf4+kFOJlRCEu5FE938hc7nHqaOdlgxYROcLCS40hqHt5YdwIqzp7TSkLqzU7nRKRfTHZuseX1h/Bm37aw12EnaWociUSifrqzOu5Kk1y9d1VtCe+JMB+42hnfWLEgb0csGRMJC5kEfyVdw0dbz4odkslQqQQc5UwsIoNhsnMLH2cbsUOgW9T9kr9aUIYdtVOvm4qconL8lXQNANRrDxmjbq3csWB4GADgxwMpWHqAjVw1cel6MQrLqmBtIUV7H0exwyEye0x2yGhZW8gwqnYa+vKDqeIGY2Brj6SjSikgwt8ZIc2Ne9HKQeHN8Xa/IADAB3+dwdbaJI3urO6pTrifMyyMZCwWkTnjdxkZtWe6BkAuleBIal6TWdelSqnCmsNXAIg/3VxTL3cPxJiuARAEYMqviYivXT+Gbk/d/DOAJSwiQ2CyQ0bN28ka/Ts0A9B0pqFvP52FbEUFPBys0D+kmdjhaEQikWD2E+3RO9gLldUqPL/yKC7mFIsdltGqm4kVyfV1iAyCyQ4ZvbqBypsTM5FbXCFuMAZQ1918VGd/k1qpWyaV4MunOyLczxmFZVUYt+wIcorKxQ7L6FwvqsCVG6WQSNj8k8hQTOcnKTVZEf4uCPNzRqVShV8Op4kdjl6dzixEfGo+5FIJRncxrunmmrCxlGHpuCi0cLPF1YIyTFgRj+KKarHDMioJtU912no5GLypK1FTxWSHTML42rErqw9dQWW1+U5DXxVbM1anf4dm8HS0FjmaxnGzt8LKCZ3hZmeJU1cVmLjmGKqa4NIBd3KU6+sQGRyTHTIJAzo0g6eDFXKKKvD3KfOc7ZNfUolNiVcBAM92CxA5mvsT4GaHpc92grWFFHsvXMfM35MgCFx0EMAt6+sw2SEyFCY7ZBIs5VI807UmATDXaejrjqajolqF9j6OZjGWI9zPGV+PjIBUAqw7moEvdiWLHZLoyiqV6lmFnIlFZDhMdshkjOzsD0uZFInpBTieli92ODqlVAlYfejmdHNz6ZXUK9gLcweHAAAW7UzGuiba+qPOiYwCVKsEeDlawdeFi5gSGQqTHTIZHg5WGBjmA8D8nu7sOpuNjPwyuNha4InaazQXo7sEYOKjDwAAZvyehH/P54gckXgSrtxcX8dcEloiU8Bkh0xK3TT0rUnXkK0wn2nNq+Jqnuo81ckf1hYykaPRvTf7tMXQjs2hVAl4dc2xJrNA5H8drV1skYOTiQyLyQ6ZlJDmTujUwgXVKgE/1ZZ9TN3FnCIcuJgLqQR4pqvpTTfXhEQiwcfDQvFgKzeUVirx7PJ4pOeVih2WQalUws0nOxycTGRQTHbI5Ix/sCUA4OfDaSivUooczf2re6rTq50XfF1sRY5GfyzlUnz3TCSCvB2QW1yBccuPoKC0UuywDCY5pxiK8mrYWsoQ3IzNP4kMickOmZw+wV7wcbLGjZJK/HkiU+xw7ktReRU2JmQAMO7u5rriaG2BFeM7o5mTNS5fL8HzK4+aRcKqiboWEeF+zpCz+SeRQfE7jkyOXCbFmOgWAGoGKpvy+i0bEzJQUqlEa097RD/gJnY4BuHtZI0V4zvDwVqOo1fyMfXXRKhUpvv/oaYS1M0/WcIiMjQmO2SSRnb2g7WFFGeuKXAkxTQ7bKtUgrqENdaMpptroq23A74fEwVLmRR/n8rCB3+dFTskvYtXN//k+jpEhmY0yc7HH38MiUSCKVOmNNgmCAL69+8PiUSCTZs21duWlpaGmJgY2NrawtPTE9OnT0d1NXvxmDtnW0sM6egLwHS7oe+/mIvLuSVwsJJjaMfmYodjcNEPuOHT4aEAgGUHU/Dj/ssiR6Q/OYpypOeVQSoBIvydxQ6HqMkximQnPj4eS5YsQWho6G23L1q06LZ/9SqVSsTExKCyshKxsbFYuXIlVqxYgffee0/fIZMRqBvjsv10FjLyTW9mz6raJO3JKF/YWcnFDUYkg8KbY0b/IADAB3+dxWYTH4N1J3UtItp6O8LBms0/iQxN9GSnuLgYo0ePxg8//AAXl4a17MTERHz22WdYtmxZg23//PMPzpw5g59++gnh4eHo378/5s6di2+++QaVlU1nlkdT1dbbAQ+2coNKgHr1YVORdqMUu2sX1xtbO/6oqXrxkUB14vrGukTsT74ubkB6cJTjdYhEJXqyM3HiRMTExKBXr14NtpWWlmLUqFH45ptv4O3t3WB7XFwcOnToAC8vL/V7ffv2hUKhwOnTp+94zoqKCigUinovMk3PdquZhr72SDpKK02nfLn6UCoEAejexgMt3e3EDkdUEokE7z0ejJjQZqhSCnh5dQJOZhSIHZZO1c3E4vo6ROIQNdlZu3Ytjh07hnnz5t12+9SpU9GtWzcMGjTottuzsrLqJToA1F9nZWXd8bzz5s2Dk5OT+uXn59fIKyCxPRbkCX9XWxSWVeH341fFDkcjpZXV+LW2R1RTmG6uCalUgoUjwvBgKzeUVCoxfnk8UnJLxA5LJ0orq3E6s+YPqigOTiYShWjJTnp6OiZPnow1a9bA2tq6wfbNmzdj9+7dWLRokc7PPWPGDBQWFqpf6elNuzmhKZNJJRhXmzCsMJFp6JuOZ0JRXo0AN1t0b+MhdjhGw0ouw5IxUejQ3Ak3SioxZulh5JhBS5DE9AIoVQKaOVmjuTObfxKJQbRkJyEhATk5OYiIiIBcLodcLsfevXvx5ZdfQi6XY8eOHbh06RKcnZ3V2wFg2LBh6NGjBwDA29sb2dnZ9Y5b9/Xtyl51rKys4OjoWO9Fpmt4lC/sLGVIzinGwYs3xA7nrgRBwKq4VADAmK4BkEqbznRzTdhbybF8fCe0cLNFRn4Zxi47AkV5ldhh3Ze69XXYD4tIPKIlOz179kRSUhISExPVr6ioKIwePRqJiYmYOXMmTp48WW87AHz++edYvnw5ACA6OhpJSUnIybnZRXnHjh1wdHREcHCwGJdFInC0tsCTkTXT0JcfTBE5mrs7nJKHc1lFsLGQYXgUy6e3425vhVUTusDDwQrnsorwgomvshx/hYOTicQm2nxXBwcHhISE1HvPzs4Obm5u6vdv93TG398fLVvWDErt06cPgoODMWbMGMyfPx9ZWVl45513MHHiRFhZWen/IshojOvWAivjrmD3+Ryk5paghZEO+q17qjMkojmcbDgF+U783WyxYnwnPL3kEA6n5GHy2uP4dnQkZCb2JEypEnBc3fyT43WIxCL6bKz7IZPJsGXLFshkMkRHR+OZZ57B2LFjMWfOHLFDIwML9LBHj7YeEARgZW1CYWwyC8qw/XRNmXVcE59uron2Pk74fmzNKsvbT2fjnU2nTGJM1q0uZBehqKIadpYyBHk7iB0OUZNlVCuZ/fvvv3fdfrsfdAEBAdi6daueIiJTMv7Blvj3/HWsP5qBab3bGN3ibT8fToNSJaBroCva8hefRqIfcMMXT4fj1Z+P4ZcjafBwsMK03m3EDktjdYsJdvR3YfNPIhHxu4/MxiOt3fGAhx2KK6rVncSNRXmVEr8cSQPA6eba6t+hGeYOqiltf7krGauN9Mnd7RxNre2HxfE6RKJiskNmQyKRqBOJlXFXjKqT9l8nr+FGSSV8nKzRq53XvT9A9TzTNQBTerUGALy3+TS2Jl0TOSLN1K2c3InjdYhExWSHzMrQCF84WMuRkluCfy/k3PsDBlI3MHl01wCWMxppcs/WGN3FH4IATFmbiNiLuWKHdFdZheW4WlDT/DOczT+JRMWfumRW7KzkeLpTzZTu5QdTxQ2m1vG0fJzIKISlXKqOjbQnkUgwZ1AI+od4o1KpwourE3DqaqHYYd1RXYuIds0cYd9EG70SGQsmO2R2xka3gFQC7E/OxcWcIrHDwaq4mialA0N94GbPJRHuh0wqwedPhaNroCuKK6rx7PJ4XLlhnG0l2PyTyHgw2SGz4+dqqx4XI/bTnetFFdhyMhMABybrirWFDN+PjUK7Zo7ILa7A2GVHcL2oQuywGrjZ/JPjdYjExmSHzNKzD7YAAPx27CoKS8VrN7D2SBqqlAIi/J3RwddJtDjMjaO1BVaO7wQ/VxtcuVGKZ5cfQZERtZUoqajG2Ws1TxXZ6ZxIfEx2yCxFB7ohyNsBZVVK/Ho0TZQYqpQq/HS4poQ1jk91dM7T0RqrJnSBm50lTmcq8NLqBFRUG0dbibrmn82dbdDMic0/icTGZIfMkkQiwfjapzsrY6+gWqkyeAzbT2chW1EBd3sr9A9pZvDzNwUt3e2wYnxn2FnKEHvpBqb9egJKI1hyIJ7r6xAZFSY7ZLYGhTeHi60FrhaUYedZw09DXxVb81RnVBd/WMr5raYvHXydsGRMFCxkEvyVdA3v/3la9LYSCVfq1tdhskNkDPgTmMyWtYUMIzv7AzB8N/QzmQocSc2DXCrB6C7+Bj13U/RQa3csHBEOiaRm9tvXuy+KFotSJeB4WgEAIDKAg5OJjAGTHTJrY6IDIJNKcDglD6czDbcmS90igv1CvOHlaG2w8zZlA8N8MOvxYADAZzsuqNtzGNq5LAWKK6rhYCVnDzQiI8Fkh8xaMycb9AvxBgCsjE01yDkLSiuxKfEqAE43N7RnH2yJ1x5tBQCY+XsStp3KMngMdevrhPs7QyaVGPz8RNQQkx0yexNqBypvSszEjWL9r8fya3w6yqtUaO/jyAGqInijTxs83ckPKgGYtPY4Dl++YdDzH73CflhExobJDpm9CH8XhPo6obJapffShlIlYPWh2unm0S0gkfAve0OTSCT4YHAIegd7obJahedXHcXZawqDnT+hdiYWV04mMh5Mdsjs3doNffWhK6jS4zT03edykJFfBmdbCzwR7qO389DdyWVSfDWyIzq1cEFReTXGLTuC9LxSvZ/3akEZMgvLIZNK2PyTyIgw2aEmISa0GdztrZCtqMDfehzHUTcw+alOfrC2kOntPHRv1hYy/Di2E9p6OSCnqKathL7LmEdrn+oEN3OErSWbfxIZCyY71CRYyWV4pmvNFPAVepqGfjGnGPuTcyGVAGO6BujlHKQdJ1sLrJzQGc2dbZCSW4LxK+JRUlGtt/PVra/DFhFExoXJDjUZo7r4w0ImwbG0ApxIL9D58VfXPtXp1c4Lvi62Oj8+NY63kzVWPdcZLrYWOJlRiJd/SkBltX5KmTc7nXNwMpExYbJDTYangzUGhtaMo9H1IoNF5VXYkJABgH2wjNEDHvZYPr4zbCxk2J+cizfXn4BKx20lisqrcC6rZiA0n+wQGRcmO9SkjH+wJQDgr6RryFGU6+y4GxMyUFKpRCtPe3R7wE1nxyXdCfdzxuIxkZBLJdh8IhNz/zqj07YSx9MKoBIAXxcbLiRJZGSY7FCT0sHXCZEBLqhSCvjpsG6moatUAlbF1U03D+B0cyPWvY0HFgwPAwAsP5iKxXsv6+zYdevrcMo5kfFhskNNTl039J8PX0FFtfK+j3fgYi4u55bAwUqOoRG+93080q/BHZvjnZh2AIBPtp3DuqPpOjluwpXa9XW4mCCR0WGyQ01O3/be8Ha0Rm5xJbacuHbfx6ubbj4s0hd2VpxubAqefzgQL3UPBADM+C0JO89k39fxqpUqdfNPjtchMj5MdqjJsZBJMSa6Zmr48tiU+xq3kXajFLvO5QAAxkZzurkp+V+/IAyL8IVSJWDiz8fUT2Ya4+y1IpRWKuFgLUcbTzb/JDI2THaoSRrZ2R9WcilOXVWox1o0xupDqRCEmrEggR72OoyQ9E0ikeDjYR3wWJAnKqpVmLDiKC5kFzXqWEdrE6UIfxdI2fyTyOgw2aEmydXOEoPDmwMAVhxMbdQxyiqV+DW+ZrzHuG58qmOKLGRSfDMqAh39nVFYVoWxS4/gakGZ1se52fyTJSwiY8Rkh5qs8Q+1AABsO52FzEb8gtuUeBWK8mr4u9qiRxtPHUdHhmJjKcOycZ3QytMeWYpyjF16GPkllRp/XhAEdZuISC4mSGSUmOxQkxXk7YjoQDcob5k6rilBELAyNhVAzVgdli5Mm4udJVZN6IxmTta4dL2mrURppWZtJTLyy5CtqIBcKkG4n7N+AyWiRmGyQ03as7XT0NfGp6GsUvNp6EdS8nAuqwg2FjIMj/LTU3RkSD7ONlg1oTOcbCyQmF6AV9ccQ5Xy3m0l6vphtfdxhI0lm78SGSMmO9Sk9WrnBT9XGxSUVmFT4lWNP1f3JGhIRHM42VjoKzwysNZeDlj2bCdYW0jx7/nreHvDyXu2lTjK9XWIjB6THWrSZFIJxkW3AFDTL0uTaejXCsuw7XQWAE43N0eRAS74dnQEZFIJfjt+FR9vO3fX/W82/+TgZCJjxWSHmrzhUX6wtZThQnYx4i7duOf+aw6lQakS0DXQFUHejgaIkAztsSAvfDIsFADw/b7L+H7fpdvuV1hWhfO109UjOROLyGgx2aEmz8nGAsNq2zwsu8c09IpqJX45UtNTq+6JEJmnJyN98b/+QQCAj7aew2/HMhrsczwtH4IA+LvawtOBzT+JjBWTHSIA47q1AADsOpeNKzdK7rjfXyev4UZJJZo5WaN3sJeBoiOxvPRIIJ57qCUA4K0NJ7HnfE697XWDk9kigsi4MdkhAtDK0x6PtPGAIOCu09BX1m57pmsA5DJ++5g7iUSCmQPaYXC4D6pVAl796RiOpd1ccfvmeB0OTiYyZvxpTVSrrhv6uvh0FFc0XGMlMb0AJ9ILYCmX4ulOnG7eVEilEsx/MgyPtPFAWZUSE1bE42JOEaqUKhxP55MdIlPAZIeoVvfWHgh0t0NRRTU2JjQcn7GqdhHBgaE+cLO3MnB0JCZLuRTfjY5AmJ8zCkpr2krsPpeD8ioVHK3laMW+aERGjckOUS2pVKIeu7MyNrXe+iq5xRXYcvIaAPbBaqrsrORY/mwnBHrYIbOwHK/9fAxAzfo6XEGbyLgx2SG6xbBIXzhYyXE5twR7k6+r3//lcBoqlSp09HdGqK+zeAGSqFxr20p4OVqhSlmTDEdyfR0io8dkh+gW9lZydfuH5bXT0KuUKqw5zOnmVMPXxRYrJ3SGo7UcAPBgK3eRIyKie5GLHQCRsXm2Wwssj03BvgvXcTGnGOezipClKIe7vRUGdGgmdnhkBIK8HfHn6w/h8vUSNv8kMgFMdoj+w9/NFj2DvLDzbDZWxqaqV8gd1cUflnI+DKUaAW52CHCzEzsMItIAf3IT3UbdNPRfj6bjSEoe5FIJRnfxFzcoIiJqFCY7RLfR7QE3tPVyQGW1CgDQL8QbXo5sB0BEZIqY7BDdhkQiwbO1T3eAm+0kiIjI9HDMDtEdDA5vjk3Hr8LT0RpRnF5MRGSymOwQ3YGNpQy/vhQtdhhERHSfWMYiIiIis8Zkh4iIiMwakx0iIiIya0x2iIiIyKwx2SEiIiKzxmSHiIiIzJrRJDsff/wxJBIJpkyZAgDIy8vD66+/jrZt28LGxgb+/v6YNGkSCgsL630uLS0NMTExsLW1haenJ6ZPn47q6moRroCIiIiMkVGssxMfH48lS5YgNDRU/V5mZiYyMzOxYMECBAcH48qVK3j55ZeRmZmJDRs2AACUSiViYmLg7e2N2NhYXLt2DWPHjoWFhQU++ugjsS6HiIiIjIhEEARBzACKi4sRERGBb7/9Fh988AHCw8OxaNGi2+67fv16PPPMMygpKYFcLsfff/+Nxx9/HJmZmfDy8gIALF68GG+//TauX78OS0tLjWJQKBRwcnJCYWEhHB0ddXVpREREpEea/v4WvYw1ceJExMTEoFevXvfct+5i5PKaB1JxcXHo0KGDOtEBgL59+0KhUOD06dN3PE5FRQUUCkW9FxEREZknUctYa9euxbFjxxAfH3/PfXNzczF37ly8+OKL6veysrLqJToA1F9nZWXd8Vjz5s3D+++/38ioiYiIyJSI9mQnPT0dkydPxpo1a2BtbX3XfRUKBWJiYhAcHIzZs2ff97lnzJiBwsJC9Ss9Pf2+j0lERETGSbQnOwkJCcjJyUFERIT6PaVSiX379uHrr79GRUUFZDIZioqK0K9fPzg4OOD333+HhYWFen9vb28cOXKk3nGzs7PV2+7EysoKVlZWOr4iIiIiMkaiPdnp2bMnkpKSkJiYqH5FRUVh9OjRSExMhEwmg0KhQJ8+fWBpaYnNmzc3eAIUHR2NpKQk5OTkqN/bsWMHHB0dERwcbOhLIiIiIiMk2pMdBwcHhISE1HvPzs4Obm5uCAkJUSc6paWl+Omnn+oNJPbw8IBMJkOfPn0QHByMMWPGYP78+cjKysI777yDiRMnavXkpm5CGgcqExERmY6639v3mlhuFOvs3M6xY8dw+PBhAECrVq3qbUtJSUGLFi0gk8mwZcsWvPLKK4iOjoadnR3GjRuHOXPmaHWuGzduAAD8/Px0EzwREREZTFFREZycnO64XfR1doxBQUEBXFxckJaWdtebZWw6deqk0Uw2Y6FQKODn54f09HSTWs+I99kweJ8Ng/fZMEztPgOmea8FQUBkZCQuXLgAqfTOI3OM9smOIdXdICcnJ5P5PxgAZDKZScVbx9HR0aTi5n02DN5nw+B9NgxTvc+A6d1rS0vLuyY6gBEsKkiNN3HiRLFDaBJ4nw2D99kweJ8Ng/fZcDS51yxjge0iDIX32TB4nw2D99kweJ8Nx5zvNZ/soGbdnVmzZnHtHT3jfTYM3mfD4H02DN5nwzHne80nO0RERGTW+GSHiIiIzBqTHSIiIjJrTHaIiIjIrDHZISIiIrNmFsnOvn37MHDgQPj4+EAikWDTpk31tmdnZ+PZZ5+Fj48PbG1t0a9fPyQnJ9fb59KlSxgyZAg8PDzg6OiIESNGqDuo3+qvv/5Cly5dYGNjAxcXFwwePFiPV2Z8DHWvL1y4gEGDBsHd3R2Ojo546KGHsGfPHn1fntGYN28eOnXqBAcHB3h6emLw4ME4f/58vX3Ky8sxceJEuLm5wd7eHsOGDWtwH9PS0hATEwNbW1t4enpi+vTpqK6urrfPv//+i4iICFhZWaFVq1ZYsWKFvi/PaBjqPv/222/o3bu3+r/56OhobN++3SDXaAwM+d9znYMHD0IulyM8PFxfl2V0DHmfKyoqMHPmTAQEBMDKygotWrTAsmXL9H6NjWUWyU5JSQnCwsLwzTffNNgmCAIGDx6My5cv448//sDx48cREBCAXr16oaSkRP35Pn36QCKRYPfu3Th48CAqKysxcOBAqFQq9bE2btyIMWPGYPz48Thx4gQOHjyIUaNGGew6jYGh7vXjjz+O6upq7N69GwkJCQgLC8Pjjz+OrKwsg12rmPbu3YuJEyfi0KFD2LFjB6qqqtCnTx/1fQSAqVOn4s8//8T69euxd+9eZGZmYujQoertSqUSMTExqKysRGxsLFauXIkVK1bgvffeU++TkpKCmJgYPProo0hMTMSUKVPw/PPPN5lfxIa6z/v27UPv3r2xdetWJCQk4NFHH8XAgQNx/Phxg16vWAx1n+sUFBRg7Nix6Nmzp0Guz1gY8j6PGDECu3btwtKlS3H+/Hn88ssvaNu2rcGuVWuCmQEg/P777+qvz58/LwAQTp06pX5PqVQKHh4ewg8//CAIgiBs375dkEqlQmFhoXqfgoICQSKRCDt27BAEQRCqqqqE5s2bCz/++KNhLsQE6OteX79+XQAg7Nu3T72PQqEQAKj3aWpycnIEAMLevXsFQai5ZxYWFsL69evV+5w9e1YAIMTFxQmCIAhbt24VpFKpkJWVpd7nu+++ExwdHYWKigpBEAThrbfeEtq3b1/vXE899ZTQt29ffV+SUdLXfb6d4OBg4f3339fTlRg3fd/np556SnjnnXeEWbNmCWFhYfq/ICOlr/v8999/C05OTsKNGzcMeDX3xyye7NxNRUUFAMDa2lr9nlQqhZWVFQ4cOKDeRyKR1FtIydraGlKpVL3PsWPHcPXqVUilUnTs2BHNmjVD//79cerUKQNejXHT1b12c3ND27ZtsWrVKpSUlKC6uhpLliyBp6cnIiMjDXhFxqOwsBAA4OrqCgBISEhAVVUVevXqpd4nKCgI/v7+iIuLAwDExcWhQ4cO8PLyUu/Tt29fKBQKnD59Wr3Prceo26fuGE2Nvu7zf6lUKhQVFanP09To8z4vX74cly9fxqxZswxxKUZNX/d58+bNiIqKwvz589G8eXO0adMGb775JsrKygx1aVoz+2Sn7v/IGTNmID8/H5WVlfjkk0+QkZGBa9euAQC6du0KOzs7vP322ygtLUVJSQnefPNNKJVK9T6XL18GAMyePRvvvPMOtmzZAhcXF/To0QN5eXmiXZ8x0dW9lkgk2LlzJ44fPw4HBwdYW1tj4cKF2LZtG1xcXMS8RFGoVCpMmTIFDz74IEJCQgAAWVlZsLS0hLOzc719vby81KW+rKysej+w6rbXbbvbPgqFwqh/cOmDPu/zfy1YsADFxcUYMWKEjq/C+OnzPicnJ+N///sffvrpJ8jlTbvPtT7v8+XLl3HgwAGcOnUKv//+OxYtWoQNGzbg1Vdf1fNVNZ7ZJzsWFhb47bffcOHCBbi6usLW1hZ79uxB//791V1SPTw8sH79evz555+wt7eHk5MTCgoKEBERod6nbjzJzJkzMWzYMERGRmL58uWQSCRYv369aNdnTHR1rwVBwMSJE+Hp6Yn9+/fjyJEjGDx4MAYOHKhOiJqSiRMn4tSpU1i7dq3YoZg1Q93nn3/+Ge+//z7WrVsHT09PvZ7LGOnrPiuVSowaNQrvv/8+2rRpo9NjmyJ9/vesUqkgkUiwZs0adO7cGQMGDMDChQuxcuVKo/0jqUmkvpGRkUhMTERhYSEqKyvh4eGBLl26ICoqSr1Pnz59cOnSJeTm5kIul8PZ2Rne3t4IDAwEADRr1gwAEBwcrP6MlZUVAgMDkZaWZtgLMmK6uNe7d+/Gli1bkJ+fr25G9+2332LHjh1YuXIl/ve//4lybWJ47bXXsGXLFuzbtw++vr7q9729vVFZWYmCgoJ6f6VlZ2fD29tbvc+RI0fqHa9u1sWt+/x3JkZ2djYcHR1hY2Ojj0sySvq+z3XWrl2L559/HuvXr29QPmwK9Hmfi4qKcPToURw/fhyvvfYagJpfyoIgQC6X459//sFjjz2m5ys0Dvr+77lZs2Zo3rw5nJyc1Pu0a9cOgiAgIyMDrVu31telNZ7IY4Z0Dv8ZNHs7Fy5cEKRSqbB9+/Y77rNr1y5BIpEI586dEwRBEAoLCwUrK6t6A5QrKysFT09PYcmSJTqJ3dTo615v3rxZkEqlQlFRUb392rRpI3z44Yf3HbcpUKlUwsSJEwUfHx/hwoULDbbXDTTcsGGD+r1z587ddqBhdna2ep8lS5YIjo6OQnl5uSAINQOUQ0JC6h175MiRTWaAsqHusyAIws8//yxYW1sLmzZt0uMVGSdD3GelUikkJSXVe73yyitC27ZthaSkJKG4uFj/FyoyQ/33vGTJEsHGxqbez+hNmzYJUqlUKC0t1dfl3RezSHaKioqE48ePC8ePHxcACAsXLhSOHz8uXLlyRRAEQVi3bp2wZ88e4dKlS8KmTZuEgIAAYejQofWOsWzZMiEuLk64ePGisHr1asHV1VWYNm1avX0mT54sNG/eXNi+fbtw7tw54bnnnhM8PT2FvLw8g12r2Axxr69fvy64ubkJQ4cOFRITE4Xz588Lb775pmBhYSEkJiYa9HrF8sorrwhOTk7Cv//+K1y7dk39uvUHycsvvyz4+/sLu3fvFo4ePSpER0cL0dHR6u3V1dVCSEiI0KdPHyExMVHYtm2b4OHhIcyYMUO9z+XLlwVbW1th+vTpwtmzZ4VvvvlGkMlkwrZt2wx6vWIx1H1es2aNIJfLhW+++abeeQoKCgx6vWIx1H3+r6Y2G8tQ97moqEjw9fUVnnzySeH06dPC3r17hdatWwvPP/+8Qa9XG2aR7OzZs0cA0OA1btw4QRAE4YsvvhB8fX0FCwsLwd/fX3jnnXcaTFV8++23BS8vL8HCwkJo3bq18NlnnwkqlarePpWVlcIbb7wheHp6Cg4ODkKvXr3qTbNuCgx1r+Pj44U+ffoIrq6ugoODg9C1a1dh69athrpM0d3uHgMQli9frt6nrKxMePXVVwUXFxfB1tZWGDJkiHDt2rV6x0lNTRX69+8v2NjYCO7u7sIbb7whVFVV1dtnz549Qnh4uGBpaSkEBgbWO4e5M9R97t69+12/b8ydIf97vlVTS3YMeZ/Pnj0r9OrVS7CxsRF8fX2FadOmGe1THUEQBIkgCIIeqmNERERERsHsZ2MRERFR08Zkh4iIiMwakx0iIiIya0x2iIiIyKwx2SEiIiKzxmSHiIiIzBqTHSIiIjJrTHaIiIjIrDHZISIiIrPGZIeITIIgCOjVqxf69u3bYNu3334LZ2dnZGRkiBAZERk7JjtEZBIkEgmWL1+Ow4cPY8mSJer3U1JS8NZbb+Grr76Cr6+vTs9ZVVWl0+MRkTiY7BCRyfDz88MXX3yBN998EykpKRAEAc899xz69OmDjh07on///rC3t4eXlxfGjBmD3Nxc9We3bduGhx56CM7OznBzc8Pjjz+OS5cuqbenpqZCIpHg119/Rffu3WFtbY01a9aIcZlEpGNsBEpEJmfw4MEoLCzE0KFDMXfuXJw+fRrt27fH888/j7Fjx6KsrAxvv/02qqursXv3bgDAxo0bIZFIEBoaiuLiYrz33ntITU1FYmIipFIpUlNT0bJlS7Ro0QKfffYZOnbsCGtrazRr1kzkqyWi+8Vkh4hMTk5ODtq3b4+8vDxs3LgRp06dwv79+7F9+3b1PhkZGfDz88P58+fRpk2bBsfIzc2Fh4cHkpKSEBISok52Fi1ahMmTJxvycohIz1jGIiKT4+npiZdeegnt2rXD4MGDceLECezZswf29vbqV1BQEACoS1XJyckYOXIkAgMD4ejoiBYtWgAA0tLS6h07KirKoNdCRPonFzsAIqLGkMvlkMtrfoQVFxdj4MCB+OSTTxrsV1eGGjhwIAICAvDDDz/Ax8cHKpUKISEhqKysrLe/nZ2d/oMnIoNiskNEJi8iIgIbN25EixYt1AnQrW7cuIHz58/jhx9+wMMPPwwAOHDggKHDJCKRsIxFRCZv4sSJyMvLw8iRIxEfH49Lly5h+/btGD9+PJRKJVxcXODm5obvv/8eFy9exO7duzFt2jSxwyYiA2GyQ0Qmz8fHBwcPHoRSqUSfPn3QoUMHTJkyBc7OzpBKpZBKpVi7di0SEhIQEhKCqVOn4tNPPxU7bCIyEM7GIiIiIrPGJztERERk1pjsEBERkVljskNERERmjckOERERmTUmO0RERGTWmOwQERGRWWOyQ0RERGaNyQ4RERGZNSY7REREZNaY7BAREZFZY7JDREREZu3/Abmn5te9XhKnAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = oildata.plot()\n", "ax.set_xlabel(\"Year\")\n", "ax.set_ylabel(\"Oil (millions of tonnes)\")\n", "print(\"Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we run three variants of simple exponential smoothing:\n", "1. In ```fit1``` we do not use the auto optimization but instead choose to explicitly provide the model with the $\\alpha=0.2$ parameter\n", "2. In ```fit2``` as above we choose an $\\alpha=0.6$\n", "3. In ```fit3``` we allow statsmodels to automatically find an optimized $\\alpha$ value for us. This is the recommended approach." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.785068Z", "start_time": "2017-12-07T12:39:15.191930Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:17.182040Z", "iopub.status.busy": "2023-05-05T13:49:17.180892Z", "iopub.status.idle": "2023-05-05T13:49:17.801476Z", "shell.execute_reply": "2023-05-05T13:49:17.800816Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit1 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(\n", " smoothing_level=0.2, optimized=False\n", ")\n", "fcast1 = fit1.forecast(3).rename(r\"$\\alpha=0.2$\")\n", "fit2 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(\n", " smoothing_level=0.6, optimized=False\n", ")\n", "fcast2 = fit2.forecast(3).rename(r\"$\\alpha=0.6$\")\n", "fit3 = SimpleExpSmoothing(oildata, initialization_method=\"estimated\").fit()\n", "fcast3 = fit3.forecast(3).rename(r\"$\\alpha=%s$\" % fit3.model.params[\"smoothing_level\"])\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(oildata, marker=\"o\", color=\"black\")\n", "plt.plot(fit1.fittedvalues, marker=\"o\", color=\"blue\")\n", "(line1,) = plt.plot(fcast1, marker=\"o\", color=\"blue\")\n", "plt.plot(fit2.fittedvalues, marker=\"o\", color=\"red\")\n", "(line2,) = plt.plot(fcast2, marker=\"o\", color=\"red\")\n", "plt.plot(fit3.fittedvalues, marker=\"o\", color=\"green\")\n", "(line3,) = plt.plot(fcast3, marker=\"o\", color=\"green\")\n", "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Holt's Method\n", "\n", "Lets take a look at another example.\n", "This time we use air pollution data and the Holt's Method.\n", "We will fit three examples again.\n", "1. In ```fit1``` we again choose not to use the optimizer and provide explicit values for $\\alpha=0.8$ and $\\beta=0.2$\n", "2. In ```fit2``` we do the same as in ```fit1``` but choose to use an exponential model rather than a Holt's additive model.\n", "3. In ```fit3``` we used a damped versions of the Holt's additive model but allow the dampening parameter $\\phi$ to be optimized while fixing the values for $\\alpha=0.8$ and $\\beta=0.2$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:16.114361Z", "start_time": "2017-12-07T12:39:15.786542Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:17.805200Z", "iopub.status.busy": "2023-05-05T13:49:17.804957Z", "iopub.status.idle": "2023-05-05T13:49:18.255010Z", "shell.execute_reply": "2023-05-05T13:49:18.254020Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit1 = Holt(air, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2, optimized=False\n", ")\n", "fcast1 = fit1.forecast(5).rename(\"Holt's linear trend\")\n", "fit2 = Holt(air, exponential=True, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2, optimized=False\n", ")\n", "fcast2 = fit2.forecast(5).rename(\"Exponential trend\")\n", "fit3 = Holt(air, damped_trend=True, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2\n", ")\n", "fcast3 = fit3.forecast(5).rename(\"Additive damped trend\")\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(air, marker=\"o\", color=\"black\")\n", "plt.plot(fit1.fittedvalues, color=\"blue\")\n", "(line1,) = plt.plot(fcast1, marker=\"o\", color=\"blue\")\n", "plt.plot(fit2.fittedvalues, color=\"red\")\n", "(line2,) = plt.plot(fcast2, marker=\"o\", color=\"red\")\n", "plt.plot(fit3.fittedvalues, color=\"green\")\n", "(line3,) = plt.plot(fcast3, marker=\"o\", color=\"green\")\n", "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Seasonally adjusted data\n", "Lets look at some seasonally adjusted livestock data. We fit five Holt's models.\n", "The below table allows us to compare results when we use exponential versus additive and damped versus non-damped.\n", " \n", "Note: ```fit4``` does not allow the parameter $\\phi$ to be optimized by providing a fixed value of $\\phi=0.98$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:16.605618Z", "start_time": "2017-12-07T12:39:16.116424Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:18.260706Z", "iopub.status.busy": "2023-05-05T13:49:18.259044Z", "iopub.status.idle": "2023-05-05T13:49:18.413050Z", "shell.execute_reply": "2023-05-05T13:49:18.412439Z" } }, "outputs": [ { "data": { "text/html": [ "
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SESHolt'sExponentialAdditiveMultiplicative
$\\alpha$1.0000000.9743089.776329e-010.9788520.974891
$\\beta$NaN0.0000004.016578e-120.0000000.000000
$\\phi$NaNNaNNaN0.9800000.981637
$l_0$263.917688258.8826002.603440e+02257.357526258.940454
$b_0$NaN5.0107831.013780e+006.6447411.038159
SSE6761.3502356004.1382006.104195e+036036.5550056081.995166
\n", "
" ], "text/plain": [ " SES Holt's Exponential Additive Multiplicative\n", "$\\alpha$ 1.000000 0.974308 9.776329e-01 0.978852 0.974891\n", "$\\beta$ NaN 0.000000 4.016578e-12 0.000000 0.000000\n", "$\\phi$ NaN NaN NaN 0.980000 0.981637\n", "$l_0$ 263.917688 258.882600 2.603440e+02 257.357526 258.940454\n", "$b_0$ NaN 5.010783 1.013780e+00 6.644741 1.038159\n", "SSE 6761.350235 6004.138200 6.104195e+03 6036.555005 6081.995166" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n", "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n", "fit3 = Holt(livestock2, exponential=True, initialization_method=\"estimated\").fit()\n", "fit4 = Holt(livestock2, damped_trend=True, initialization_method=\"estimated\").fit(\n", " damping_trend=0.98\n", ")\n", "fit5 = Holt(\n", " livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\"\n", ").fit()\n", "params = [\n", " \"smoothing_level\",\n", " \"smoothing_trend\",\n", " \"damping_trend\",\n", " \"initial_level\",\n", " \"initial_trend\",\n", "]\n", "results = pd.DataFrame(\n", " index=[r\"$\\alpha$\", r\"$\\beta$\", r\"$\\phi$\", r\"$l_0$\", \"$b_0$\", \"SSE\"],\n", " columns=[\"SES\", \"Holt's\", \"Exponential\", \"Additive\", \"Multiplicative\"],\n", ")\n", "results[\"SES\"] = [fit1.params[p] for p in params] + [fit1.sse]\n", "results[\"Holt's\"] = [fit2.params[p] for p in params] + [fit2.sse]\n", "results[\"Exponential\"] = [fit3.params[p] for p in params] + [fit3.sse]\n", "results[\"Additive\"] = [fit4.params[p] for p in params] + [fit4.sse]\n", "results[\"Multiplicative\"] = [fit5.params[p] for p in params] + [fit5.sse]\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plots of Seasonally Adjusted Data\n", "The following plots allow us to evaluate the level and slope/trend components of the above table's fits." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:17.105928Z", "start_time": "2017-12-07T12:39:16.607306Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:18.418574Z", "iopub.status.busy": "2023-05-05T13:49:18.416948Z", "iopub.status.idle": "2023-05-05T13:49:19.508113Z", "shell.execute_reply": "2023-05-05T13:49:19.505691Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.\n" ] } ], "source": [ "for fit in [fit2, fit4]:\n", " pd.DataFrame(np.c_[fit.level, fit.trend]).rename(\n", " columns={0: \"level\", 1: \"slope\"}\n", " ).plot(subplots=True)\n", "plt.show()\n", "print(\n", " \"Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison\n", "Here we plot a comparison Simple Exponential Smoothing and Holt's Methods for various additive, exponential and damped combinations. All of the models parameters will be optimized by statsmodels." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:18.038995Z", "start_time": "2017-12-07T12:39:17.108323Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:19.512240Z", "iopub.status.busy": "2023-05-05T13:49:19.511915Z", "iopub.status.idle": "2023-05-05T13:49:20.054695Z", "shell.execute_reply": "2023-05-05T13:49:20.054056Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\n" ] } ], "source": [ "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n", "fcast1 = fit1.forecast(9).rename(\"SES\")\n", "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n", "fcast2 = fit2.forecast(9).rename(\"Holt's\")\n", "fit3 = Holt(livestock2, exponential=True, initialization_method=\"estimated\").fit()\n", "fcast3 = fit3.forecast(9).rename(\"Exponential\")\n", "fit4 = Holt(livestock2, damped_trend=True, initialization_method=\"estimated\").fit(\n", " damping_trend=0.98\n", ")\n", "fcast4 = fit4.forecast(9).rename(\"Additive Damped\")\n", "fit5 = Holt(\n", " livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\"\n", ").fit()\n", "fcast5 = fit5.forecast(9).rename(\"Multiplicative Damped\")\n", "\n", "ax = livestock2.plot(color=\"black\", marker=\"o\", figsize=(12, 8))\n", "livestock3.plot(ax=ax, color=\"black\", marker=\"o\", legend=False)\n", "fcast1.plot(ax=ax, color=\"red\", legend=True)\n", "fcast2.plot(ax=ax, color=\"green\", legend=True)\n", "fcast3.plot(ax=ax, color=\"blue\", legend=True)\n", "fcast4.plot(ax=ax, color=\"cyan\", legend=True)\n", "fcast5.plot(ax=ax, color=\"magenta\", legend=True)\n", "ax.set_ylabel(\"Livestock, sheep in Asia (millions)\")\n", "plt.show()\n", "print(\n", " \"Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2017-10-05T09:40:15.958575Z", "start_time": "2017-10-05T09:40:15.615Z" } }, "source": [ "## Holt's Winters Seasonal\n", "Finally we are able to run full Holt's Winters Seasonal Exponential Smoothing including a trend component and a seasonal component.\n", "statsmodels allows for all the combinations including as shown in the examples below:\n", "1. ```fit1``` additive trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "1. ```fit2``` additive trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation..\n", "1. ```fit3``` additive damped trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "1. ```fit4``` additive damped trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "\n", "The plot shows the results and forecast for ```fit1``` and ```fit2```.\n", "The table allows us to compare the results and parameterizations." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.375871Z", "start_time": "2017-12-07T12:39:18.040674Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:20.059282Z", "iopub.status.busy": "2023-05-05T13:49:20.058140Z", "iopub.status.idle": "2023-05-05T13:49:20.952867Z", "shell.execute_reply": "2023-05-05T13:49:20.951885Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\n" ] }, { "data": { "text/html": [ "
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AdditiveMultiplicativeAdditive DamMultiplica Dam
$\\alpha$1.490116e-081.490116e-081.490116e-081.490116e-08
$\\beta$1.409865e-080.000000e+006.490761e-095.042250e-09
$\\phi$NaNNaN9.430416e-019.536043e-01
$\\gamma$7.544975e-161.889367e-157.434023e-161.273086e-16
$l_0$1.119348e+011.106376e+011.084022e+019.899296e+00
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SSE4.402746e+013.611262e+013.527620e+013.062033e+01
\n", "
" ], "text/plain": [ " Additive Multiplicative Additive Dam Multiplica Dam\n", "$\\alpha$ 1.490116e-08 1.490116e-08 1.490116e-08 1.490116e-08\n", "$\\beta$ 1.409865e-08 0.000000e+00 6.490761e-09 5.042250e-09\n", "$\\phi$ NaN NaN 9.430416e-01 9.536043e-01\n", "$\\gamma$ 7.544975e-16 1.889367e-15 7.434023e-16 1.273086e-16\n", "$l_0$ 1.119348e+01 1.106376e+01 1.084022e+01 9.899296e+00\n", "$b_0$ 1.205396e-01 1.198957e-01 2.456749e-01 1.975447e-01\n", "SSE 4.402746e+01 3.611262e+01 3.527620e+01 3.062033e+01" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit1 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit2 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit3 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " damped_trend=True,\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit4 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " damped_trend=True,\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "results = pd.DataFrame(\n", " index=[r\"$\\alpha$\", r\"$\\beta$\", r\"$\\phi$\", r\"$\\gamma$\", r\"$l_0$\", \"$b_0$\", \"SSE\"]\n", ")\n", "params = [\n", " \"smoothing_level\",\n", " \"smoothing_trend\",\n", " \"damping_trend\",\n", " \"smoothing_seasonal\",\n", " \"initial_level\",\n", " \"initial_trend\",\n", "]\n", "results[\"Additive\"] = [fit1.params[p] for p in params] + [fit1.sse]\n", "results[\"Multiplicative\"] = [fit2.params[p] for p in params] + [fit2.sse]\n", "results[\"Additive Dam\"] = [fit3.params[p] for p in params] + [fit3.sse]\n", "results[\"Multiplica Dam\"] = [fit4.params[p] for p in params] + [fit4.sse]\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit1.fittedvalues.plot(ax=ax, style=\"--\", color=\"red\")\n", "fit2.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "\n", "fit1.forecast(8).rename(\"Holt-Winters (add-add-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"red\", legend=True\n", ")\n", "fit2.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "\n", "plt.show()\n", "print(\n", " \"Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\"\n", ")\n", "\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Internals\n", "It is possible to get at the internals of the Exponential Smoothing models. \n", "\n", "Here we show some tables that allow you to view side by side the original values $y_t$, the level $l_t$, the trend $b_t$, the season $s_t$ and the fitted values $\\hat{y}_t$. Note that these values only have meaningful values in the space of your original data if the fit is performed without a Box-Cox transformation." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2023-05-05T13:49:20.956172Z", "iopub.status.busy": "2023-05-05T13:49:20.955854Z", "iopub.status.idle": "2023-05-05T13:49:21.108015Z", "shell.execute_reply": "2023-05-05T13:49:21.107172Z" } }, "outputs": [], "source": [ "fit1 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit2 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.399765Z", "start_time": "2017-12-07T12:39:28.377215Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:21.111855Z", "iopub.status.busy": "2023-05-05T13:49:21.111588Z", "iopub.status.idle": "2023-05-05T13:49:21.125958Z", "shell.execute_reply": "2023-05-05T13:49:21.125281Z" } }, "outputs": [], "source": [ "df = pd.DataFrame(\n", " np.c_[aust, fit1.level, fit1.trend, fit1.season, fit1.fittedvalues],\n", " columns=[r\"$y_t$\", r\"$l_t$\", r\"$b_t$\", r\"$s_t$\", r\"$\\hat{y}_t$\"],\n", " index=aust.index,\n", ")\n", "forecasts = fit1.forecast(8).rename(r\"$\\hat{y}_t$\").to_frame()\n", "df = pd.concat([df, forecasts], axis=0, sort=True)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.574783Z", "start_time": "2017-12-07T12:39:28.401234Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:21.128994Z", "iopub.status.busy": "2023-05-05T13:49:21.128697Z", "iopub.status.idle": "2023-05-05T13:49:21.141351Z", "shell.execute_reply": "2023-05-05T13:49:21.140701Z" } }, "outputs": [], "source": [ "df = pd.DataFrame(\n", " np.c_[aust, fit2.level, fit2.trend, fit2.season, fit2.fittedvalues],\n", " columns=[r\"$y_t$\", r\"$l_t$\", r\"$b_t$\", r\"$s_t$\", r\"$\\hat{y}_t$\"],\n", " index=aust.index,\n", ")\n", "forecasts = fit2.forecast(8).rename(r\"$\\hat{y}_t$\").to_frame()\n", "df = pd.concat([df, forecasts], axis=0, sort=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally lets look at the levels, slopes/trends and seasonal components of the models." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:29.636548Z", "start_time": "2017-12-07T12:39:28.576279Z" }, "execution": { "iopub.execute_input": "2023-05-05T13:49:21.144283Z", "iopub.status.busy": "2023-05-05T13:49:21.143994Z", "iopub.status.idle": "2023-05-05T13:49:22.723342Z", "shell.execute_reply": "2023-05-05T13:49:22.722604Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "states1 = pd.DataFrame(\n", " np.c_[fit1.level, fit1.trend, fit1.season],\n", " columns=[\"level\", \"slope\", \"seasonal\"],\n", " index=aust.index,\n", ")\n", "states2 = pd.DataFrame(\n", " np.c_[fit2.level, fit2.trend, fit2.season],\n", " columns=[\"level\", \"slope\", \"seasonal\"],\n", " index=aust.index,\n", ")\n", "fig, [[ax1, ax4], [ax2, ax5], [ax3, ax6]] = plt.subplots(3, 2, figsize=(12, 8))\n", "states1[[\"level\"]].plot(ax=ax1)\n", "states1[[\"slope\"]].plot(ax=ax2)\n", "states1[[\"seasonal\"]].plot(ax=ax3)\n", "states2[[\"level\"]].plot(ax=ax4)\n", "states2[[\"slope\"]].plot(ax=ax5)\n", "states2[[\"seasonal\"]].plot(ax=ax6)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulations and Confidence Intervals\n", "\n", "By using a state space formulation, we can perform simulations of future values. The mathematical details are described in Hyndman and Athanasopoulos [2] and in the documentation of `HoltWintersResults.simulate`.\n", "\n", "Similar to the example in [2], we use the model with additive trend, multiplicative seasonality, and multiplicative error. We simulate up to 8 steps into the future, and perform 1000 simulations. As can be seen in the below figure, the simulations match the forecast values quite well.\n", "\n", "[2] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice, 2nd edition. OTexts, 2018.](https://otexts.com/fpp2/ets.html)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2023-05-05T13:49:22.726604Z", "iopub.status.busy": "2023-05-05T13:49:22.726238Z", "iopub.status.idle": "2023-05-05T13:49:23.666779Z", "shell.execute_reply": "2023-05-05T13:49:23.666115Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "simulations = fit.simulate(8, repetitions=100, error=\"mul\")\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts and simulations from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "simulations.plot(ax=ax, style=\"-\", alpha=0.05, color=\"grey\", legend=False)\n", "fit.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulations can also be started at different points in time, and there are multiple options for choosing the random noise." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2023-05-05T13:49:23.671438Z", "iopub.status.busy": "2023-05-05T13:49:23.670299Z", "iopub.status.idle": "2023-05-05T13:49:24.787998Z", "shell.execute_reply": "2023-05-05T13:49:24.787346Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "simulations = fit.simulate(\n", " 16, anchor=\"2009-01-01\", repetitions=100, error=\"mul\", random_errors=\"bootstrap\"\n", ")\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts and simulations from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "simulations.plot(ax=ax, style=\"-\", alpha=0.05, color=\"grey\", legend=False)\n", "fit.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "plt.show()" ] } ], "metadata": { "anaconda-cloud": {}, "hide_input": false, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.11" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "colors": { "hover_highlight": "#DAA520", "navigate_num": "#000000", "navigate_text": "#333333", "running_highlight": "#FF0000", "selected_highlight": "#FFD700", "sidebar_border": "#EEEEEE", "wrapper_background": "#FFFFFF" }, "moveMenuLeft": true, "nav_menu": { "height": "98px", "width": "252px" }, "navigate_menu": true, "number_sections": false, "sideBar": true, "threshold": 4, "toc_cell": false, "toc_section_display": "block", "toc_window_display": true, "widenNotebook": false } }, "nbformat": 4, "nbformat_minor": 4 }