{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Theta Model\n", "\n", "The Theta model of Assimakopoulos & Nikolopoulos (2000) is a simple method for forecasting the involves fitting two $\\theta$-lines, forecasting the lines using a Simple Exponential Smoother, and then combining the forecasts from the two lines to produce the final forecast. The model is implemented in steps:\n", "\n", "\n", "1. Test for seasonality\n", "2. Deseasonalize if seasonality detected\n", "3. Estimate $\\alpha$ by fitting a SES model to the data and $b_0$ by OLS.\n", "4. Forecast the series\n", "5. Reseasonalize if the data was deseasonalized.\n", "\n", "The seasonality test examines the ACF at the seasonal lag $m$. If this lag is significantly different from zero then the data is deseasonalize using `statsmodels.tsa.seasonal_decompose` use either a multiplicative method (default) or additive. \n", "\n", "The parameters of the model are $b_0$ and $\\alpha$ where $b_0$ is estimated from the OLS regression\n", "\n", "$$\n", "X_t = a_0 + b_0 (t-1) + \\epsilon_t\n", "$$\n", "\n", "and $\\alpha$ is the SES smoothing parameter in\n", "\n", "$$\n", "\\tilde{X}_t = (1-\\alpha) X_t + \\alpha \\tilde{X}_{t-1}\n", "$$\n", "\n", "The forecasts are then \n", "\n", "$$\n", " \\hat{X}_{T+h|T} = \\frac{\\theta-1}{\\theta} \\hat{b}_0\n", " \\left[h - 1 + \\frac{1}{\\hat{\\alpha}}\n", " - \\frac{(1-\\hat{\\alpha})^T}{\\hat{\\alpha}} \\right]\n", " + \\tilde{X}_{T+h|T}\n", "$$\n", "\n", "Ultimately $\\theta$ only plays a role in determining how much the trend is damped. If $\\theta$ is very large, then the forecast of the model is identical to that from an Integrated Moving Average with a drift,\n", "\n", "$$\n", "X_t = X_{t-1} + b_0 + (\\alpha-1)\\epsilon_{t-1} + \\epsilon_t.\n", "$$\n", "\n", "Finally, the forecasts are reseasonalized if needed.\n", "\n", "This module is based on:\n", "\n", "* Assimakopoulos, V., & Nikolopoulos, K. (2000). The theta model: a decomposition\n", " approach to forecasting. International journal of forecasting, 16(4), 521-530.\n", "* Hyndman, R. J., & Billah, B. (2003). Unmasking the Theta method.\n", " International Journal of Forecasting, 19(2), 287-290.\n", "* Fioruci, J. A., Pellegrini, T. R., Louzada, F., & Petropoulos, F.\n", " (2015). The optimized theta method. arXiv preprint arXiv:1503.03529." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports\n", "\n", "We start with the standard set of imports and some tweaks to the default matplotlib style." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:13.413999Z", "iopub.status.busy": "2021-02-02T06:51:13.413194Z", "iopub.status.idle": "2021-02-02T06:51:14.323465Z", "shell.execute_reply": "2021-02-02T06:51:14.324745Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import pandas_datareader as pdr\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "plt.rc(\"figure\",figsize=(16,8))\n", "plt.rc(\"font\",size=15)\n", "plt.rc(\"lines\",linewidth=3)\n", "sns.set_style(\"darkgrid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load some Data\n", "\n", "We will first look at housing starts using US data. This series is clearly seasonal but does not have a clear trend during the same. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:14.329983Z", "iopub.status.busy": "2021-02-02T06:51:14.328567Z", "iopub.status.idle": "2021-02-02T06:51:15.608126Z", "shell.execute_reply": "2021-02-02T06:51:15.607021Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reader = pdr.fred.FredReader([\"HOUST\"], start=\"1980-01-01\", end=\"2020-04-01\")\n", "data = reader.read()\n", "housing = data.HOUST\n", "housing.index.freq = housing.index.inferred_freq\n", "ax = housing.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We fit specify the model without any options and fit it. The summary shows that the data was deseasonalized using the multiplicative method. The drift is modest and negative, and the smoothing parameter is fairly low. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:15.618214Z", "iopub.status.busy": "2021-02-02T06:51:15.617505Z", "iopub.status.idle": "2021-02-02T06:51:15.730707Z", "shell.execute_reply": "2021-02-02T06:51:15.730282Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ThetaModel Results \n", "==============================================================================\n", "Dep. Variable: HOUST No. Observations: 484\n", "Method: OLS/SES Deseasonalized: True\n", "Date: Tue, 02 Feb 2021 Deseas. Method: Multiplicative\n", "Time: 06:51:15 Period: 12\n", "Sample: 01-01-1980 \n", " - 04-01-2020 \n", " Parameter Estimates \n", "=========================\n", " Parameters \n", "-------------------------\n", "b0 -0.9151736454223132\n", "alpha 0.6172836576667062\n", "-------------------------\n" ] } ], "source": [ "from statsmodels.tsa.forecasting.theta import ThetaModel\n", "tm = ThetaModel(housing)\n", "res = tm.fit()\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model is first and foremost a forecasting method. Forecasts are produced using the `forecast` method from fitted model. Below we produce a hedgehog plot by forecasting 2-years ahead every 2 years. \n", "\n", "**Note**: the default $\\theta$ is 2." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:15.740840Z", "iopub.status.busy": "2021-02-02T06:51:15.739294Z", "iopub.status.idle": "2021-02-02T06:51:17.010190Z", "shell.execute_reply": "2021-02-02T06:51:17.010556Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "forecasts = {\"housing\": housing}\n", "for year in range(1995, 2020, 2):\n", " sub = housing[:str(year)]\n", " res = ThetaModel(sub).fit()\n", " fcast = res.forecast(24)\n", " forecasts[str(year)] = fcast\n", "forecasts = pd.DataFrame(forecasts)\n", "ax = forecasts[\"1995\":].plot(legend=False)\n", "children = ax.get_children()\n", "children[0].set_linewidth(4)\n", "children[0].set_alpha(0.3)\n", "children[0].set_color(\"#000000\")\n", "ax.set_title(\"Housing Starts\")\n", "plt.tight_layout(pad=1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could alternatively fir the log of the data. Here it makes more sense to force the deseasonalizing to use the additive method, if needed. We also fit the model parameters using MLE. This method fits the IMA\n", "\n", "$$ X_t = X_{t-1} + \\gamma\\epsilon_{t-1} + \\epsilon_t $$\n", "\n", "where $\\hat{\\alpha}$ = $\\min(\\hat{\\gamma}+1, 0.9998)$ using `statsmodels.tsa.SARIMAX`. The parameters are similar although the drift is closer to zero." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:17.013585Z", "iopub.status.busy": "2021-02-02T06:51:17.012908Z", "iopub.status.idle": "2021-02-02T06:51:17.234183Z", "shell.execute_reply": "2021-02-02T06:51:17.234571Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ThetaModel Results \n", "==============================================================================\n", "Dep. Variable: HOUST No. Observations: 484\n", "Method: MLE Deseasonalized: True\n", "Date: Tue, 02 Feb 2021 Deseas. Method: Additive\n", "Time: 06:51:17 Period: 12\n", "Sample: 01-01-1980 \n", " - 04-01-2020 \n", " Parameter Estimates \n", "============================\n", " Parameters \n", "----------------------------\n", "b0 -0.0004287968562346969\n", "alpha 0.670779164417624\n", "----------------------------\n" ] } ], "source": [ "tm = ThetaModel(np.log(housing), method=\"additive\")\n", "res = tm.fit(use_mle=True)\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The forecast only depends on the forecast trend component,\n", "$$\n", "\\hat{b}_0\n", " \\left[h - 1 + \\frac{1}{\\hat{\\alpha}}\n", " - \\frac{(1-\\hat{\\alpha})^T}{\\hat{\\alpha}} \\right],\n", "$$\n", "\n", "the forecast from the SES (which does not change with the horizon), and the seasonal. These three components are available using the `forecast_components`. This allows forecasts to be constructed using multiple choices of $\\theta$ using the weight expression above. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:17.237510Z", "iopub.status.busy": "2021-02-02T06:51:17.236843Z", "iopub.status.idle": "2021-02-02T06:51:17.251332Z", "shell.execute_reply": "2021-02-02T06:51:17.251784Z" } }, "outputs": [ { "data": { "text/html": [ "
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trendsesseasonal
2020-05-01-0.0006396.964501-0.007320
2020-06-01-0.0010686.9645010.002210
2020-07-01-0.0014976.964501-0.004322
2020-08-01-0.0019266.964501-0.004915
2020-09-01-0.0023546.964501-0.004035
2020-10-01-0.0027836.9645010.009697
2020-11-01-0.0032126.9645010.000508
2020-12-01-0.0036416.9645010.007040
2021-01-01-0.0040706.9645010.010268
2021-02-01-0.0044986.964501-0.003951
2021-03-01-0.0049276.964501-0.001849
2021-04-01-0.0053566.964501-0.003331
\n", "
" ], "text/plain": [ " trend ses seasonal\n", "2020-05-01 -0.000639 6.964501 -0.007320\n", "2020-06-01 -0.001068 6.964501 0.002210\n", "2020-07-01 -0.001497 6.964501 -0.004322\n", "2020-08-01 -0.001926 6.964501 -0.004915\n", "2020-09-01 -0.002354 6.964501 -0.004035\n", "2020-10-01 -0.002783 6.964501 0.009697\n", "2020-11-01 -0.003212 6.964501 0.000508\n", "2020-12-01 -0.003641 6.964501 0.007040\n", "2021-01-01 -0.004070 6.964501 0.010268\n", "2021-02-01 -0.004498 6.964501 -0.003951\n", "2021-03-01 -0.004927 6.964501 -0.001849\n", "2021-04-01 -0.005356 6.964501 -0.003331" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res.forecast_components(12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Personal Consumption Expenditure\n", "\n", "We next look at personal consumption expenditure. This series has a clear seasonal component and a drift. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:17.260150Z", "iopub.status.busy": "2021-02-02T06:51:17.256384Z", "iopub.status.idle": "2021-02-02T06:51:18.054010Z", "shell.execute_reply": "2021-02-02T06:51:18.054631Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reader = pdr.fred.FredReader([\"NA000349Q\"], start=\"1980-01-01\", end=\"2020-04-01\")\n", "pce = reader.read()\n", "pce.columns = [\"PCE\"]\n", "_ = pce.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since this series is always positive, we model the $\\ln$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:18.062958Z", "iopub.status.busy": "2021-02-02T06:51:18.060546Z", "iopub.status.idle": "2021-02-02T06:51:18.106622Z", "shell.execute_reply": "2021-02-02T06:51:18.107216Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ThetaModel Results \n", "==============================================================================\n", "Dep. Variable: PCE No. Observations: 162\n", "Method: OLS/SES Deseasonalized: True\n", "Date: Tue, 02 Feb 2021 Deseas. Method: Multiplicative\n", "Time: 06:51:18 Period: 4\n", "Sample: 01-01-1980 \n", " - 04-01-2020 \n", " Parameter Estimates \n", "==========================\n", " Parameters \n", "--------------------------\n", "b0 0.013026405758310324\n", "alpha 0.9998844241635727\n", "--------------------------\n" ] } ], "source": [ "mod = ThetaModel(np.log(pce))\n", "res = mod.fit()\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we explore differenced in the forecast as $\\theta$ changes. When $\\theta$ is close to 1, the drift is nearly absent. As $\\theta$ increases, the drift becomes more obvious." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:18.115293Z", "iopub.status.busy": "2021-02-02T06:51:18.114471Z", "iopub.status.idle": "2021-02-02T06:51:18.930904Z", "shell.execute_reply": "2021-02-02T06:51:18.931943Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/deterministic.py:152: UserWarning: Only PeriodIndexes, DatetimeIndexes with a frequency set, RangesIndexes, and Int64Indexes with a unit increment support extending. The index is set will contain the position relative to the data length.\n", " UserWarning,\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "forecasts = pd.DataFrame({\"ln PCE\":np.log(pce.PCE),\n", " \"theta=1.2\": res.forecast(12, theta=1.2),\n", " \"theta=2\": res.forecast(12),\n", " \"theta=3\": res.forecast(12, theta=3),\n", " \"No damping\": res.forecast(12, theta=np.inf)\n", " })\n", "_ = forecasts.tail(36).plot()\n", "plt.title(\"Forecasts of ln PCE\")\n", "plt.tight_layout(pad=1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, `plot_predict` can be used to visualize the predictions and prediction intervals which are constructed assuming the IMA is true." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:18.936639Z", "iopub.status.busy": "2021-02-02T06:51:18.935194Z", "iopub.status.idle": "2021-02-02T06:51:19.580292Z", "shell.execute_reply": "2021-02-02T06:51:19.581348Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/deterministic.py:152: UserWarning: Only PeriodIndexes, DatetimeIndexes with a frequency set, RangesIndexes, and Int64Indexes with a unit increment support extending. The index is set will contain the position relative to the data length.\n", " UserWarning,\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/deterministic.py:152: UserWarning: Only PeriodIndexes, DatetimeIndexes with a frequency set, RangesIndexes, and Int64Indexes with a unit increment support extending. The index is set will contain the position relative to the data length.\n", " UserWarning,\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = res.plot_predict(24, theta=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We conclude be producing a hedgehog plot using 2-year non-overlapping samples." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:19.586089Z", "iopub.status.busy": "2021-02-02T06:51:19.584673Z", "iopub.status.idle": "2021-02-02T06:51:20.284444Z", "shell.execute_reply": "2021-02-02T06:51:20.285014Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ln_pce = np.log(pce.PCE)\n", "forecasts = {\"ln PCE\": ln_pce}\n", "for year in range(1995,2020,3):\n", " sub = ln_pce[:str(year)]\n", " res = ThetaModel(sub).fit()\n", " fcast = res.forecast(12)\n", " forecasts[str(year)] = fcast\n", "forecasts = pd.DataFrame(forecasts)\n", "ax = forecasts[\"1995\":].plot(legend=False)\n", "children = ax.get_children()\n", "children[0].set_linewidth(4)\n", "children[0].set_alpha(0.3)\n", "children[0].set_color(\"#000000\")\n", "ax.set_title(\"ln PCE\")\n", "plt.tight_layout(pad=1.0)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 4 }