{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Seasonality in time series data\n",
    "\n",
    "Consider the problem of modeling time series data with multiple seasonal components with different periodicities.  Let us take the time series $y_t$ and decompose it explicitly to have a level component and two seasonal components.\n",
    "\n",
    "$$\n",
    "y_t = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t\n",
    "$$\n",
    "\n",
    "where $\\mu_t$ represents the trend or level, $\\gamma^{(1)}_t$ represents a seasonal component with a relatively short period, and $\\gamma^{(2)}_t$ represents another seasonal component of longer period. We will have a fixed intercept term for our level and consider both $\\gamma^{(2)}_t$ and $\\gamma^{(2)}_t$ to be stochastic so that the seasonal patterns can vary over time.\n",
    "\n",
    "In this notebook, we will generate synthetic data conforming to this model and showcase modeling of the seasonal terms in a few different ways under the unobserved components modeling framework."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Synthetic data creation\n",
    "\n",
    "We will create data with multiple seasonal patterns by following equations (3.7) and (3.8) in Durbin and Koopman (2012).  We will simulate 300 periods and two seasonal terms parametrized in the frequency domain having periods 10 and 100, respectively, and 3 and 2 number of harmonics, respectively.  Further, the variances of their stochastic parts are 4 and 9, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# First we'll simulate the synthetic data\n",
    "def simulate_seasonal_term(periodicity, total_cycles, noise_std=1.,\n",
    "                           harmonics=None):\n",
    "    duration = periodicity * total_cycles\n",
    "    assert duration == int(duration)\n",
    "    duration = int(duration)\n",
    "    harmonics = harmonics if harmonics else int(np.floor(periodicity / 2))\n",
    "\n",
    "    lambda_p = 2 * np.pi / float(periodicity)\n",
    "\n",
    "    gamma_jt = noise_std * np.random.randn((harmonics))\n",
    "    gamma_star_jt = noise_std * np.random.randn((harmonics))\n",
    "\n",
    "    total_timesteps = 100 * duration # Pad for burn in\n",
    "    series = np.zeros(total_timesteps) \n",
    "    for t in range(total_timesteps):\n",
    "        gamma_jtp1 = np.zeros_like(gamma_jt)\n",
    "        gamma_star_jtp1 = np.zeros_like(gamma_star_jt)\n",
    "        for j in range(1, harmonics + 1):\n",
    "            cos_j = np.cos(lambda_p * j)\n",
    "            sin_j = np.sin(lambda_p * j)\n",
    "            gamma_jtp1[j - 1] = (gamma_jt[j - 1] * cos_j\n",
    "                                 + gamma_star_jt[j - 1] * sin_j\n",
    "                                 + noise_std * np.random.randn())\n",
    "            gamma_star_jtp1[j - 1] = (- gamma_jt[j - 1] * sin_j\n",
    "                                      + gamma_star_jt[j - 1] * cos_j\n",
    "                                      + noise_std * np.random.randn())\n",
    "        series[t] = np.sum(gamma_jtp1)\n",
    "        gamma_jt = gamma_jtp1\n",
    "        gamma_star_jt = gamma_star_jtp1\n",
    "    wanted_series = series[-duration:] # Discard burn in\n",
    "\n",
    "    return wanted_series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "duration = 100 * 3\n",
    "periodicities = [10, 100]\n",
    "num_harmonics = [3, 2]\n",
    "std = np.array([2, 3])\n",
    "np.random.seed(8678309)\n",
    "\n",
    "terms = []\n",
    "for ix, _ in enumerate(periodicities):\n",
    "    s = simulate_seasonal_term(\n",
    "        periodicities[ix],\n",
    "        duration / periodicities[ix],\n",
    "        harmonics=num_harmonics[ix],\n",
    "        noise_std=std[ix])\n",
    "    terms.append(s)\n",
    "terms.append(np.ones_like(terms[0]) * 10.)\n",
    "series = pd.Series(np.sum(terms, axis=0))\n",
    "df = pd.DataFrame(data={'total': series,\n",
    "                        '10(3)': terms[0],\n",
    "                        '100(2)': terms[1],\n",
    "                        'level':terms[2]})\n",
    "h1, = plt.plot(df['total'])\n",
    "h2, = plt.plot(df['10(3)'])\n",
    "h3, = plt.plot(df['100(2)'])\n",
    "h4, = plt.plot(df['level'])\n",
    "plt.legend(['total','10(3)','100(2)', 'level'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (frequency domain modeling)\n",
    "\n",
    "The next method is an unobserved components model, where the trend is modeled as a fixed intercept and the seasonal components are modeled using trigonometric functions with primary periodicities of 10 and 100, respectively, and number of harmonics 3 and 2, respectively.  Note that this is the correct, generating model. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} & = \\mu_t \\\\\n",
    "\\gamma^{(1)}_{t} &= \\sum_{j=1}^2 \\gamma^{(1)}_{j, t} \\\\\n",
    "\\gamma^{(2)}_{t} &= \\sum_{j=1}^3 \\gamma^{(2)}_{j, t}\\\\\n",
    "\\gamma^{(1)}_{j, t+1} &= \\gamma^{(1)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\sin(\\lambda_j) + \\omega^{(1)}_{j,t}, ~j = 1, 2, 3\\\\\n",
    "\\gamma^{*, (1)}_{j, t+1} &= -\\gamma^{(1)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (1)}_{j, t}, ~j = 1, 2, 3\\\\\n",
    "\\gamma^{(2)}_{j, t+1} &= \\gamma^{(2)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\sin(\\lambda_j) + \\omega^{(2)}_{j,t}, ~j = 1, 2\\\\\n",
    "\\gamma^{*, (2)}_{j, t+1} &= -\\gamma^{(2)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (2)}_{j, t}, ~j = 1, 2\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_1)$, and  $\\omega^{(2)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_2)$, where $\\sigma_1 = 2.$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                Unobserved Components Results                                 \n",
      "==============================================================================================\n",
      "Dep. Variable:                                      y   No. Observations:                  300\n",
      "Model:                                fixed intercept   Log Likelihood               -1145.631\n",
      "                    + stochastic freq_seasonal(10(3))   AIC                           2295.261\n",
      "                   + stochastic freq_seasonal(100(2))   BIC                           2302.594\n",
      "Date:                                Sun, 16 Aug 2020   HQIC                          2298.200\n",
      "Time:                                        18:00:44                                         \n",
      "Sample:                                             0                                         \n",
      "                                                - 300                                         \n",
      "Covariance Type:                                  opg                                         \n",
      "===============================================================================================\n",
      "                                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------\n",
      "sigma2.freq_seasonal_10(3)      4.5942      0.565      8.126      0.000       3.486       5.702\n",
      "sigma2.freq_seasonal_100(2)     9.7904      2.483      3.942      0.000       4.923      14.658\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                       34.17   Jarque-Bera (JB):                 0.08\n",
      "Prob(Q):                              0.73   Prob(JB):                         0.96\n",
      "Heteroskedasticity (H):               1.17   Skew:                             0.01\n",
      "Prob(H) (two-sided):                  0.45   Kurtosis:                         3.08\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.053\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series.values, \n",
    "                                    level='fixed intercept', \n",
    "                                    freq_seasonal=[{'period': 10,\n",
    "                                                    'harmonics': 3},\n",
    "                                                   {'period': 100,\n",
    "                                                    'harmonics': 2}])\n",
    "res_f = model.fit(disp=False)\n",
    "print(res_f.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_f.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_f.plot_components()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.80901699,  0.58778525,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        , -0.58778525,  0.80901699,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.30901699,  0.95105652,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        , -0.95105652,  0.30901699,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "        -0.30901699,  0.95105652,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "        -0.95105652, -0.30901699,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.99802673,  0.06279052,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        , -0.06279052,  0.99802673,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.9921147 ,\n",
       "         0.12533323],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        , -0.12533323,\n",
       "         0.9921147 ]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.ssm.transition[:, :, 0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Observe that the fitted variances are pretty close to the true variances of 4 and 9.  Further, the individual seasonal components look pretty close to the true seasonal components.  The smoothed level term is kind of close to the true level of 10.  Finally, our diagnostics look solid; the test statistics are small enough to fail to reject our three tests."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (mixed time and frequency domain modeling)\n",
    "\n",
    "The second method is an unobserved components model, where the trend is modeled as a fixed intercept and the seasonal components are modeled using 10 constants summing to 0 and trigonometric functions with a primary periodicities of 100 with 2 harmonics total.  Note that this is not the generating model, as it presupposes that there are more state errors for the shorter seasonal component than in reality. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} & = \\mu_t \\\\\n",
    "\\gamma^{(1)}_{t + 1} &= - \\sum_{j=1}^9 \\gamma^{(1)}_{t + 1 - j} + \\omega^{(1)}_t\\\\\n",
    "\\gamma^{(2)}_{j, t+1} &= \\gamma^{(2)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\sin(\\lambda_j) + \\omega^{(2)}_{j,t}, ~j = 1, 2\\\\\n",
    "\\gamma^{*, (2)}_{j, t+1} &= -\\gamma^{(2)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (2)}_{j, t}, ~j = 1, 2\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$, and  $\\omega^{(2)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_2)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                Unobserved Components Results                                 \n",
      "==============================================================================================\n",
      "Dep. Variable:                                      y   No. Observations:                  300\n",
      "Model:                                fixed intercept   Log Likelihood               -1238.113\n",
      "                            + stochastic seasonal(10)   AIC                           2480.226\n",
      "                   + stochastic freq_seasonal(100(2))   BIC                           2487.538\n",
      "Date:                                Sun, 16 Aug 2020   HQIC                          2483.157\n",
      "Time:                                        18:00:44                                         \n",
      "Sample:                                             0                                         \n",
      "                                                - 300                                         \n",
      "Covariance Type:                                  opg                                         \n",
      "===============================================================================================\n",
      "                                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------\n",
      "sigma2.seasonal                55.2934      7.114      7.773      0.000      41.351      69.236\n",
      "sigma2.freq_seasonal_100(2)    28.6897      4.008      7.159      0.000      20.835      36.544\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                      165.59   Jarque-Bera (JB):                 1.20\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.55\n",
      "Heteroskedasticity (H):               1.27   Skew:                            -0.14\n",
      "Prob(H) (two-sided):                  0.24   Kurtosis:                         2.87\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.468\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series, \n",
    "                                    level='fixed intercept', \n",
    "                                    seasonal=10,\n",
    "                                    freq_seasonal=[{'period': 100,\n",
    "                                                    'harmonics': 2}])\n",
    "res_tf = model.fit(disp=False)\n",
    "print(res_tf.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_tf.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_tf.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plotted components look good.  However, the estimated variance of the second seasonal term is inflated from reality.  Additionally, we reject the Ljung-Box statistic, indicating we may have remaining autocorrelation after accounting for our components."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (lazy frequency domain modeling)\n",
    "\n",
    "The third method is an unobserved components model with a fixed intercept and one seasonal component, which is modeled using trigonometric functions with primary periodicity 100 and 50 harmonics. Note that this is not the generating model, as it presupposes that there are more harmonics then in reality.  Because the variances are tied together, we are not able to drive the estimated covariance of the non-existent harmonics to 0.  What is lazy about this model specification is that we have not bothered to specify the two different seasonal components and instead chosen to model them using a single component with enough harmonics to cover both.  We will not be able to capture any differences in variances between the two true components.  The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} &= \\mu_t\\\\\n",
    "\\gamma^{(1)}_{t} &= \\sum_{j=1}^{50}\\gamma^{(1)}_{j, t}\\\\\n",
    "\\gamma^{(1)}_{j, t+1} &= \\gamma^{(1)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\sin(\\lambda_j) + \\omega^{(1}_{j,t}, ~j = 1, 2, \\dots, 50\\\\\n",
    "\\gamma^{*, (1)}_{j, t+1} &= -\\gamma^{(1)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (1)}_{j, t}, ~j = 1, 2, \\dots, 50\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                 Unobserved Components Results                                 \n",
      "===============================================================================================\n",
      "Dep. Variable:                                       y   No. Observations:                  300\n",
      "Model:                                 fixed intercept   Log Likelihood               -1101.455\n",
      "                   + stochastic freq_seasonal(100(50))   AIC                           2204.910\n",
      "Date:                                 Sun, 16 Aug 2020   BIC                           2208.204\n",
      "Time:                                         18:00:44   HQIC                          2206.243\n",
      "Sample:                                              0                                         \n",
      "                                                 - 300                                         \n",
      "Covariance Type:                                   opg                                         \n",
      "================================================================================================\n",
      "                                   coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------------------------\n",
      "sigma2.freq_seasonal_100(50)     0.7591      0.082      9.233      0.000       0.598       0.920\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                      883.25   Jarque-Bera (JB):                 0.72\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.70\n",
      "Heteroskedasticity (H):               1.00   Skew:                            -0.01\n",
      "Prob(H) (two-sided):                  0.99   Kurtosis:                         2.71\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.426\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series, \n",
    "                                    level='fixed intercept', \n",
    "                                    freq_seasonal=[{'period': 100}])\n",
    "res_lf = model.fit(disp=False)\n",
    "print(res_lf.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_lf.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_lf.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that one of our diagnostic tests would be rejected at the .05 level."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (lazy time domain seasonal modeling)\n",
    "\n",
    "The fourth method is an unobserved components model with a fixed intercept and a single seasonal component modeled using a time-domain seasonal model of 100 constants. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & =\\mu_t + \\gamma^{(1)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} &= \\mu_{t} \\\\\n",
    "\\gamma^{(1)}_{t + 1} &= - \\sum_{j=1}^{99} \\gamma^{(1)}_{t + 1 - j} + \\omega^{(1)}_t\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            Unobserved Components Results                             \n",
      "======================================================================================\n",
      "Dep. Variable:                              y   No. Observations:                  300\n",
      "Model:                        fixed intercept   Log Likelihood               -1564.378\n",
      "                   + stochastic seasonal(100)   AIC                           3130.756\n",
      "Date:                        Sun, 16 Aug 2020   BIC                           3134.054\n",
      "Time:                                18:00:44   HQIC                          3132.091\n",
      "Sample:                                     0                                         \n",
      "                                        - 300                                         \n",
      "Covariance Type:                          opg                                         \n",
      "===================================================================================\n",
      "                      coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------\n",
      "sigma2.seasonal  3.558e+05   2.96e+04     12.012      0.000    2.98e+05    4.14e+05\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                     2223.75   Jarque-Bera (JB):                25.29\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.00\n",
      "Heteroskedasticity (H):               0.49   Skew:                             0.85\n",
      "Prob(H) (two-sided):                  0.00   Kurtosis:                         3.37\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.690\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series,\n",
    "                                    level='fixed intercept',\n",
    "                                    seasonal=100)\n",
    "res_lt = model.fit(disp=False)\n",
    "print(res_lt.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_lt.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_lt.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The seasonal component itself looks good--it is the primary signal.  The estimated variance of the seasonal term is very high ($>10^5$), leading to a lot of uncertainty in our one-step-ahead predictions and slow responsiveness to new data, as evidenced by large errors in one-step ahead predictions and observations. Finally, all three of our diagnostic tests were rejected. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison of filtered estimates\n",
    "\n",
    "The plots below show that explicitly modeling the individual components results in the filtered state being close to the true state within roughly half a period.  The lazy models took longer (almost a full period) to do the same on the combined true state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Assign better names for our seasonal terms\n",
    "true_seasonal_10_3 = terms[0]\n",
    "true_seasonal_100_2 = terms[1]\n",
    "true_sum = true_seasonal_10_3 + true_seasonal_100_2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:50]  # After this they basically agree\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(111)\n",
    "idx = np.asarray(series.index)\n",
    "h1, = ax1.plot(idx[time_s], res_f.freq_seasonal[0].filtered[time_s], label='Double Freq. Seas')\n",
    "h2, = ax1.plot(idx[time_s], res_tf.seasonal.filtered[time_s], label='Mixed Domain Seas')\n",
    "h3, = ax1.plot(idx[time_s], true_seasonal_10_3[time_s], label='True Seasonal 10(3)')\n",
    "plt.legend([h1, h2, h3], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth'], loc=2)\n",
    "plt.title('Seasonal 10(3) component')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:50]  # After this they basically agree\n",
    "fig2 = plt.figure()\n",
    "ax2 = fig2.add_subplot(111)\n",
    "h21, = ax2.plot(idx[time_s], res_f.freq_seasonal[1].filtered[time_s], label='Double Freq. Seas')\n",
    "h22, = ax2.plot(idx[time_s], res_tf.freq_seasonal[0].filtered[time_s], label='Mixed Domain Seas')\n",
    "h23, = ax2.plot(idx[time_s], true_seasonal_100_2[time_s], label='True Seasonal 100(2)')\n",
    "plt.legend([h21, h22, h23], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth'], loc=2)\n",
    "plt.title('Seasonal 100(2) component')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:100]\n",
    "\n",
    "fig3 = plt.figure()\n",
    "ax3 = fig3.add_subplot(111)\n",
    "h31, = ax3.plot(idx[time_s], res_f.freq_seasonal[1].filtered[time_s] + res_f.freq_seasonal[0].filtered[time_s], label='Double Freq. Seas')\n",
    "h32, = ax3.plot(idx[time_s], res_tf.freq_seasonal[0].filtered[time_s] + res_tf.seasonal.filtered[time_s], label='Mixed Domain Seas')\n",
    "h33, = ax3.plot(idx[time_s], true_sum[time_s], label='True Seasonal 100(2)')\n",
    "h34, = ax3.plot(idx[time_s], res_lf.freq_seasonal[0].filtered[time_s], label='Lazy Freq. Seas')\n",
    "h35, = ax3.plot(idx[time_s], res_lt.seasonal.filtered[time_s], label='Lazy Time Seas')\n",
    "\n",
    "plt.legend([h31, h32, h33, h34, h35], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth', 'Lazy Freq. Seas', 'Lazy Time Seas'], loc=1)\n",
    "plt.title('Seasonal components combined')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Conclusions\n",
    "\n",
    "In this notebook, we simulated a time series with two seasonal components of different periods.  We modeled them using structural time series models with (a) two frequency domain components of correct periods and numbers of harmonics, (b) time domain seasonal component for the shorter term and a frequency domain term with correct period and number of harmonics, (c) a single frequency domain term with the longer period and full number of harmonics, and (d) a single time domain term with the longer period.  We saw a variety of diagnostic results, with only the correct generating model, (a), failing to reject any of the tests.  Thus, more flexible seasonal modeling allowing for multiple components with specifiable harmonics can be a useful tool for time series modeling.  Finally, we can represent seasonal components with fewer total states in this way, allowing for the user to attempt to make the bias-variance trade-off themselves instead of being forced to choose \"lazy\" models, which use a large number of states and incur additional variance as a result."
   ]
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
