{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Seasonal-Trend decomposition using LOESS (STL)\n", "\n", "This note book illustrates the use of STL to decompose a time series into three components: trend, season(al) and residual. STL uses LOESS (locally estimated scatterplot smoothing) to extract smooths estimates of the three components. The key inputs into STL are:\n", "\n", "* season - The length of the seasonal smoother. Must be odd.\n", "* trend - The length of the trend smoother, usually around 150% of season. Must be odd and larger than season.\n", "* low_pass - The length of the low-pass estimation window, usually the smallest odd number larger than the periodicity of the data.\n", "\n", "First we import the required packages, prepare the graphics environment, and prepare the data. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-06-29T20:41:34.637029Z", "iopub.status.busy": "2022-06-29T20:41:34.636450Z", "iopub.status.idle": "2022-06-29T20:41:36.174859Z", "shell.execute_reply": "2022-06-29T20:41:36.172271Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import seaborn as sns\n", "from pandas.plotting import register_matplotlib_converters\n", "\n", "register_matplotlib_converters()\n", "sns.set_style(\"darkgrid\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-06-29T20:41:36.180701Z", "iopub.status.busy": "2022-06-29T20:41:36.179306Z", "iopub.status.idle": "2022-06-29T20:41:36.184972Z", "shell.execute_reply": "2022-06-29T20:41:36.184219Z" } }, "outputs": [], "source": [ "plt.rc(\"figure\", figsize=(16, 12))\n", "plt.rc(\"font\", size=13)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Atmospheric CO2\n", "\n", "The example in Cleveland, Cleveland, McRae, and Terpenning (1990) uses CO2 data, which is in the list below. This monthly data (January 1959 to December 1987) has a clear trend and seasonality across the sample. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-06-29T20:41:36.188816Z", "iopub.status.busy": "2022-06-29T20:41:36.188525Z", "iopub.status.idle": "2022-06-29T20:41:36.228527Z", "shell.execute_reply": "2022-06-29T20:41:36.227623Z" } }, "outputs": [ { "data": { "text/plain": [ "count 348.000000\n", "mean 330.123879\n", "std 10.059747\n", "min 313.550000\n", "25% 321.302500\n", "50% 328.820000\n", "75% 338.002500\n", "max 351.340000\n", "Name: CO2, dtype: float64" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "co2 = [\n", " 315.58,\n", " 316.39,\n", " 316.79,\n", " 317.82,\n", " 318.39,\n", " 318.22,\n", " 316.68,\n", " 315.01,\n", " 314.02,\n", " 313.55,\n", " 315.02,\n", " 315.75,\n", " 316.52,\n", " 317.10,\n", " 317.79,\n", " 319.22,\n", " 320.08,\n", " 319.70,\n", " 318.27,\n", " 315.99,\n", " 314.24,\n", " 314.05,\n", " 315.05,\n", " 316.23,\n", " 316.92,\n", " 317.76,\n", " 318.54,\n", " 319.49,\n", " 320.64,\n", " 319.85,\n", " 318.70,\n", " 316.96,\n", " 315.17,\n", " 315.47,\n", " 316.19,\n", " 317.17,\n", " 318.12,\n", " 318.72,\n", " 319.79,\n", " 320.68,\n", " 321.28,\n", " 320.89,\n", " 319.79,\n", " 317.56,\n", " 316.46,\n", " 315.59,\n", " 316.85,\n", " 317.87,\n", " 318.87,\n", " 319.25,\n", " 320.13,\n", " 321.49,\n", " 322.34,\n", " 321.62,\n", " 319.85,\n", " 317.87,\n", " 316.36,\n", " 316.24,\n", " 317.13,\n", " 318.46,\n", " 319.57,\n", " 320.23,\n", " 320.89,\n", " 321.54,\n", " 322.20,\n", " 321.90,\n", " 320.42,\n", " 318.60,\n", " 316.73,\n", " 317.15,\n", " 317.94,\n", " 318.91,\n", " 319.73,\n", " 320.78,\n", " 321.23,\n", " 322.49,\n", " 322.59,\n", " 322.35,\n", " 321.61,\n", " 319.24,\n", " 318.23,\n", " 317.76,\n", " 319.36,\n", " 319.50,\n", " 320.35,\n", " 321.40,\n", " 322.22,\n", " 323.45,\n", " 323.80,\n", " 323.50,\n", " 322.16,\n", " 320.09,\n", " 318.26,\n", " 317.66,\n", " 319.47,\n", " 320.70,\n", " 322.06,\n", " 322.23,\n", " 322.78,\n", " 324.10,\n", " 324.63,\n", " 323.79,\n", " 322.34,\n", " 320.73,\n", " 319.00,\n", " 318.99,\n", " 320.41,\n", " 321.68,\n", " 322.30,\n", " 322.89,\n", " 323.59,\n", " 324.65,\n", " 325.30,\n", " 325.15,\n", " 323.88,\n", " 321.80,\n", " 319.99,\n", " 319.86,\n", " 320.88,\n", " 322.36,\n", " 323.59,\n", " 324.23,\n", " 325.34,\n", " 326.33,\n", " 327.03,\n", " 326.24,\n", " 325.39,\n", " 323.16,\n", " 321.87,\n", " 321.31,\n", " 322.34,\n", " 323.74,\n", " 324.61,\n", " 325.58,\n", " 326.55,\n", " 327.81,\n", " 327.82,\n", " 327.53,\n", " 326.29,\n", " 324.66,\n", " 323.12,\n", " 323.09,\n", " 324.01,\n", " 325.10,\n", " 326.12,\n", " 326.62,\n", " 327.16,\n", " 327.94,\n", " 329.15,\n", " 328.79,\n", " 327.53,\n", " 325.65,\n", " 323.60,\n", " 323.78,\n", " 325.13,\n", " 326.26,\n", " 326.93,\n", " 327.84,\n", " 327.96,\n", " 329.93,\n", " 330.25,\n", " 329.24,\n", " 328.13,\n", " 326.42,\n", " 324.97,\n", " 325.29,\n", " 326.56,\n", " 327.73,\n", " 328.73,\n", " 329.70,\n", " 330.46,\n", " 331.70,\n", " 332.66,\n", " 332.22,\n", " 331.02,\n", " 329.39,\n", " 327.58,\n", " 327.27,\n", " 328.30,\n", " 328.81,\n", " 329.44,\n", " 330.89,\n", " 331.62,\n", " 332.85,\n", " 333.29,\n", " 332.44,\n", " 331.35,\n", " 329.58,\n", " 327.58,\n", " 327.55,\n", " 328.56,\n", " 329.73,\n", " 330.45,\n", " 330.98,\n", " 331.63,\n", " 332.88,\n", " 333.63,\n", " 333.53,\n", " 331.90,\n", " 330.08,\n", " 328.59,\n", " 328.31,\n", " 329.44,\n", " 330.64,\n", " 331.62,\n", " 332.45,\n", " 333.36,\n", " 334.46,\n", " 334.84,\n", " 334.29,\n", " 333.04,\n", " 330.88,\n", " 329.23,\n", " 328.83,\n", " 330.18,\n", " 331.50,\n", " 332.80,\n", " 333.22,\n", " 334.54,\n", " 335.82,\n", " 336.45,\n", " 335.97,\n", " 334.65,\n", " 332.40,\n", " 331.28,\n", " 330.73,\n", " 332.05,\n", " 333.54,\n", " 334.65,\n", " 335.06,\n", " 336.32,\n", " 337.39,\n", " 337.66,\n", " 337.56,\n", " 336.24,\n", " 334.39,\n", " 332.43,\n", " 332.22,\n", " 333.61,\n", " 334.78,\n", " 335.88,\n", " 336.43,\n", " 337.61,\n", " 338.53,\n", " 339.06,\n", " 338.92,\n", " 337.39,\n", " 335.72,\n", " 333.64,\n", " 333.65,\n", " 335.07,\n", " 336.53,\n", " 337.82,\n", " 338.19,\n", " 339.89,\n", " 340.56,\n", " 341.22,\n", " 340.92,\n", " 339.26,\n", " 337.27,\n", " 335.66,\n", " 335.54,\n", " 336.71,\n", " 337.79,\n", " 338.79,\n", " 340.06,\n", " 340.93,\n", " 342.02,\n", " 342.65,\n", " 341.80,\n", " 340.01,\n", " 337.94,\n", " 336.17,\n", " 336.28,\n", " 337.76,\n", " 339.05,\n", " 340.18,\n", " 341.04,\n", " 342.16,\n", " 343.01,\n", " 343.64,\n", " 342.91,\n", " 341.72,\n", " 339.52,\n", " 337.75,\n", " 337.68,\n", " 339.14,\n", " 340.37,\n", " 341.32,\n", " 342.45,\n", " 343.05,\n", " 344.91,\n", " 345.77,\n", " 345.30,\n", " 343.98,\n", " 342.41,\n", " 339.89,\n", " 340.03,\n", " 341.19,\n", " 342.87,\n", " 343.74,\n", " 344.55,\n", " 345.28,\n", " 347.00,\n", " 347.37,\n", " 346.74,\n", " 345.36,\n", " 343.19,\n", " 340.97,\n", " 341.20,\n", " 342.76,\n", " 343.96,\n", " 344.82,\n", " 345.82,\n", " 347.24,\n", " 348.09,\n", " 348.66,\n", " 347.90,\n", " 346.27,\n", " 344.21,\n", " 342.88,\n", " 342.58,\n", " 343.99,\n", " 345.31,\n", " 345.98,\n", " 346.72,\n", " 347.63,\n", " 349.24,\n", " 349.83,\n", " 349.10,\n", " 347.52,\n", " 345.43,\n", " 344.48,\n", " 343.89,\n", " 345.29,\n", " 346.54,\n", " 347.66,\n", " 348.07,\n", " 349.12,\n", " 350.55,\n", " 351.34,\n", " 350.80,\n", " 349.10,\n", " 347.54,\n", " 346.20,\n", " 346.20,\n", " 347.44,\n", " 348.67,\n", "]\n", "co2 = pd.Series(\n", " co2, index=pd.date_range(\"1-1-1959\", periods=len(co2), freq=\"M\"), name=\"CO2\"\n", ")\n", "co2.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The decomposition requires 1 input, the data series. If the data series does not have a frequency, then you must also specify period. The default value for seasonal is 7, and so should also be changed in most applications." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-06-29T20:41:36.233665Z", "iopub.status.busy": "2022-06-29T20:41:36.232950Z", "iopub.status.idle": "2022-06-29T20:41:37.715254Z", "shell.execute_reply": "2022-06-29T20:41:37.714550Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "