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2021-02-04-Time_series_analysis_forecasting-Part2-and-3.ipynb
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{
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"metadata": {
"colab": {
"name": "2021-02-04-Time_series_analysis_forecasting-Part2-and-3.ipynb",
"provenance": [],
"authorship_tag": "ABX9TyM4hOc8f+edXPiume5AQABQ",
"include_colab_link": true
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"kernelspec": {
"name": "python3",
"display_name": "Python 3"
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"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/atilapaes/2d51cc72674ff4d8ac8ff71636284987/2021-02-04-time_series_analysis_forecasting-part2-and-3.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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},
{
"cell_type": "markdown",
"metadata": {
"id": "zTZKbDbC5eGp"
},
"source": [
"# Forecast using smoothing"
]
},
{
"cell_type": "code",
"metadata": {
"id": "k5PxRI2o3njS"
},
"source": [
"import pandas as pd\n",
"import numpy as np"
],
"execution_count": 55,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "OaM26BgJ341D"
},
"source": [
"# Making the plots better to read using seaborn\n",
"import seaborn as sns\n",
"%matplotlib inline\n",
"from matplotlib import pyplot as plt\n",
"sns.set_palette('Accent')\n",
"sns.set_style('darkgrid')"
],
"execution_count": 56,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "LmK3AdmT34yk",
"outputId": "e69f02bb-c99a-4076-ebed-7e751ff6d336"
},
"source": [
"!pip install statsmodels==v0.11.0rc2\n",
"import statsmodels"
],
"execution_count": 57,
"outputs": [
{
"output_type": "stream",
"text": [
"Requirement already satisfied: statsmodels==v0.11.0rc2 in /usr/local/lib/python3.6/dist-packages (0.11.0rc2)\n",
"Requirement already satisfied: pandas>=0.21 in /usr/local/lib/python3.6/dist-packages (from statsmodels==v0.11.0rc2) (1.1.5)\n",
"Requirement already satisfied: numpy>=1.14 in /usr/local/lib/python3.6/dist-packages (from statsmodels==v0.11.0rc2) (1.19.5)\n",
"Requirement already satisfied: patsy>=0.5 in /usr/local/lib/python3.6/dist-packages (from statsmodels==v0.11.0rc2) (0.5.1)\n",
"Requirement already satisfied: scipy>=1.0 in /usr/local/lib/python3.6/dist-packages (from statsmodels==v0.11.0rc2) (1.4.1)\n",
"Requirement already satisfied: pytz>=2017.2 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.21->statsmodels==v0.11.0rc2) (2018.9)\n",
"Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.21->statsmodels==v0.11.0rc2) (2.8.1)\n",
"Requirement already satisfied: six in /usr/local/lib/python3.6/dist-packages (from patsy>=0.5->statsmodels==v0.11.0rc2) (1.15.0)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
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"height": 206
},
"id": "PVuDVUEr344b",
"outputId": "054cb821-b283-4bfb-af01-d111d6bd50b5"
},
"source": [
"# Reading and wrangling the CO2 dataset\n",
"df_co2=pd.read_csv('co2.csv',delimiter='\\t')\n",
"df_co2=df_co2.rename(columns={'data':'date','media':'avg'})\n",
"df_co2.head()"
],
"execution_count": 58,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
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" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>date</th>\n",
" <th>avg</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1980.042</td>\n",
" <td>338.45</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1980.125</td>\n",
" <td>339.15</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1980.208</td>\n",
" <td>339.48</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1980.292</td>\n",
" <td>339.87</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1980.375</td>\n",
" <td>340.30</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" date avg\n",
"0 1980.042 338.45\n",
"1 1980.125 339.15\n",
"2 1980.208 339.48\n",
"3 1980.292 339.87\n",
"4 1980.375 340.30"
]
},
"metadata": {
"tags": []
},
"execution_count": 58
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"id": "3Jjc1dTr3461",
"outputId": "9667c778-9342-4e3a-a713-342fc7e36a94"
},
"source": [
"# Reading and wrangling the birth dataset\n",
"df_birth=pd.read_csv('nascimentos.csv')\n",
"df_birth=df_birth.rename(columns={'data':'date','n_nasc':'n_birth'})\n",
"df_birth['date']=pd.to_datetime(df_birth['date'])\n",
"df_birth.head()"
],
"execution_count": 59,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
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" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>date</th>\n",
" <th>n_birth</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1959-01-01</td>\n",
" <td>35</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1959-01-02</td>\n",
" <td>32</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1959-01-03</td>\n",
" <td>30</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1959-01-04</td>\n",
" <td>31</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1959-01-05</td>\n",
" <td>44</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" date n_birth\n",
"0 1959-01-01 35\n",
"1 1959-01-02 32\n",
"2 1959-01-03 30\n",
"3 1959-01-04 31\n",
"4 1959-01-05 44"
]
},
"metadata": {
"tags": []
},
"execution_count": 59
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 238
},
"id": "jurepoIC349d",
"outputId": "1e78229e-9803-4716-f8de-845952727578"
},
"source": [
"df_co2=df_co2.set_index('date')\n",
"df_co2.head()"
],
"execution_count": 60,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
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" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>avg</th>\n",
" </tr>\n",
" <tr>\n",
" <th>date</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1980.042</th>\n",
" <td>338.45</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980.125</th>\n",
" <td>339.15</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980.208</th>\n",
" <td>339.48</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980.292</th>\n",
" <td>339.87</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980.375</th>\n",
" <td>340.30</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" avg\n",
"date \n",
"1980.042 338.45\n",
"1980.125 339.15\n",
"1980.208 339.48\n",
"1980.292 339.87\n",
"1980.375 340.30"
]
},
"metadata": {
"tags": []
},
"execution_count": 60
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 238
},
"id": "EVvfxFZX34_9",
"outputId": "8852ce72-3db4-4345-a3f0-e2a343924f85"
},
"source": [
"df_co2_train = df_co2[1990.042:2015]\n",
"df_co2_train.head()"
],
"execution_count": 61,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>avg</th>\n",
" </tr>\n",
" <tr>\n",
" <th>date</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1990.042</th>\n",
" <td>354.40</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1990.125</th>\n",
" <td>354.80</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1990.208</th>\n",
" <td>355.12</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1990.292</th>\n",
" <td>355.43</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1990.375</th>\n",
" <td>355.32</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" avg\n",
"date \n",
"1990.042 354.40\n",
"1990.125 354.80\n",
"1990.208 355.12\n",
"1990.292 355.43\n",
"1990.375 355.32"
]
},
"metadata": {
"tags": []
},
"execution_count": 61
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 238
},
"id": "35iJU-6N6G7x",
"outputId": "d0566b76-6a6d-44d4-a7da-f06f1575c128"
},
"source": [
"df_co2_test = df_co2[2015:]\n",
"df_co2_test.head()"
],
"execution_count": 62,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
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" .dataframe thead th {\n",
" text-align: right;\n",
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>avg</th>\n",
" </tr>\n",
" <tr>\n",
" <th>date</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2015.042</th>\n",
" <td>399.32</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015.125</th>\n",
" <td>399.88</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015.208</th>\n",
" <td>400.33</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015.292</th>\n",
" <td>400.73</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015.375</th>\n",
" <td>400.68</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" avg\n",
"date \n",
"2015.042 399.32\n",
"2015.125 399.88\n",
"2015.208 400.33\n",
"2015.292 400.73\n",
"2015.375 400.68"
]
},
"metadata": {
"tags": []
},
"execution_count": 62
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "kHl9ykul6Yuq"
},
"source": [
"from statsmodels.tsa.holtwinters import SimpleExpSmoothing"
],
"execution_count": 63,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "oWa6PJ8O6QAr",
"outputId": "8ff6135e-4f48-4c71-c98c-9d3c33dee080"
},
"source": [
"# Forecasting using exmplonential smoothing\n",
"model_co2_adjusted = SimpleExpSmoothing(df_co2_train).fit(smoothing_level=0.5)"
],
"execution_count": 64,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.\n",
" ' ignored when e.g. forecasting.', ValueWarning)\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "hCS0scWq6mRV",
"outputId": "c0295249-73aa-4e81-8945-7fc30454e9db"
},
"source": [
"# Checking the number of samples in the test set. It will be the same as in the forecast\n",
"df_co2_test.shape"
],
"execution_count": 65,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(57, 1)"
]
},
"metadata": {
"tags": []
},
"execution_count": 65
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "TxRUeLyU7Csc",
"outputId": "e9165a2b-947a-43ac-b21f-991f518e84b1"
},
"source": [
"model_co2_forecast = model_co2_adjusted.forecast(57)"
],
"execution_count": 66,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
" ValueWarning)\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 298
},
"id": "AKcO7c2k7Cwa",
"outputId": "ca20eae4-1b0d-4376-8bf5-b1ee8c9248ee"
},
"source": [
"# Plot for the CO2 forecasting\n",
"plt.figure()\n",
"plt.title('First model for forecasting CO2 dataset')\n",
"plt.plot(df_co2_train) # the train dataset\n",
"\n",
"# the fitted data adjusted by the model\n",
"plt.plot(df_co2_train.index,model_adjusted.fittedvalues.values) \n",
"\n",
"plt.plot(df_co2_test,'g') # The test slice in green\n",
"plt.plot(df_co2_test.index,model_co2_forecast,'r') # The forecast (as an avg) in red "
],
"execution_count": 67,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7efdf3ae3908>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 67
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "FNKcNp0k7Czg",
"outputId": "4ddcc2c1-4031-4b71-9b9e-52b833677b77"
},
"source": [
"##### Same routine processing for the n_birth data\n",
"df_birth=df_birth.set_index('date')\n",
"df_birth_train = df_birth['1959-01-01':'1959-12-01']\n",
"df_birth_test = df_birth['1959-12-01':]\n",
"model_birth_adjusted = SimpleExpSmoothing(df_birth_train).fit(smoothing_level=0.5)"
],
"execution_count": 68,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/base/tsa_model.py:162: ValueWarning: No frequency information was provided, so inferred frequency D will be used.\n",
" % freq, ValueWarning)\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "vwjBigsMA6dW",
"outputId": "aa751bed-62b2-47ba-f0c0-d249733f8a8d"
},
"source": [
"# How many points do we want to forecast?\n",
"df_birth_test.shape[0]"
],
"execution_count": 69,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"31"
]
},
"metadata": {
"tags": []
},
"execution_count": 69
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "by7LBiJ7CrLB"
},
"source": [
"# Forecasting 31 samples\n",
"model_birth_forecast = model_birth_adjusted.forecast(31)"
],
"execution_count": 70,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 298
},
"id": "2GwiWc1kC5sH",
"outputId": "05a32b77-056b-4ca1-ad5d-462ff5227851"
},
"source": [
"# Plot for the CO2 forecasting\n",
"plt.figure()\n",
"plt.title('First model for forecasting n_birth dataset')\n",
"plt.plot(df_birth_train) # the train dataset\n",
"\n",
"# the fitted data adjusted by the model\n",
"plt.plot(df_birth_train.index,model_birth_adjusted.fittedvalues.values) \n",
"\n",
"plt.plot(df_birth_test,'g') # The test slice in green\n",
"plt.plot(df_birth_test.index,model_birth_forecast,'r') # The forecast (as an avg) in red "
],
"execution_count": 71,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7efdf3a53400>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 71
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3q2SJNy3DvsG"
},
"source": [
"**Comments:** for both examples, the forescast was assumed as the avg. It is the simlpest model we can develop. In the following sections we are going to use a more refined methodology."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "WXwHjxgCarI0"
},
"source": [
"# Model exponential smoothing"
]
},
{
"cell_type": "code",
"metadata": {
"id": "e918qBAebu8F"
},
"source": [
"from statsmodels.tsa.holtwinters import ExponentialSmoothing"
],
"execution_count": 72,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "2D58lfO_Dmqv",
"outputId": "c4a060d0-bf9e-41dd-83a2-fe4fe7077bc9"
},
"source": [
"# Considering the trend and seasonal components as additive\n",
"model_co2_adjusted = ExponentialSmoothing(df_co2_train.values,trend='additive',seasonal='additive',seasonal_periods=10).fit()"
],
"execution_count": 100,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/holtwinters.py:735: ConvergenceWarning: Optimization failed to converge. Check mle_retvals.\n",
" ConvergenceWarning)\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "PcbwKbxzb2Vs",
"outputId": "13915ac1-5787-4494-f414-1a544344fdbd"
},
"source": [
"df_co2.shape"
],
"execution_count": 101,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(477, 1)"
]
},
"metadata": {
"tags": []
},
"execution_count": 101
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "OEpiIZvBb-SW",
"outputId": "6abeacad-0bf9-497b-87d5-ecb0fad2bec2"
},
"source": [
"df_co2_test.shape"
],
"execution_count": 102,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(57, 1)"
]
},
"metadata": {
"tags": []
},
"execution_count": 102
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "gSYv7-Q2cCHq"
},
"source": [
"# Now that we have a fitted model, we can do forecasting\n",
"model_co2_forecast = model_co2_adjusted.predict(start=420,end=476)"
],
"execution_count": 103,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "L4zTvyZMfK1-"
},
"source": [
""
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "guJoQpfVcIuK",
"outputId": "a533c776-458a-4df0-bae7-a125343e2e20"
},
"source": [
"plt.plot(df_co2_train)\n",
"plt.plot(df_co2_test,'g')\n",
"plt.plot(df_co2_test.index,model_co2_forecast,'r.')"
],
"execution_count": 99,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7efdf379eeb8>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 99
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KIdk8KagfEY8"
},
"source": [
"Something went wrong. Must corrent it later."
]
},
{
"cell_type": "code",
"metadata": {
"id": "OH_KzxowcNdj"
},
"source": [
"# Now using the trend multiplicative\n",
"model_birth_adjusted=ExponentialSmoothing(df_birth_train.values,trend='multiplicative',seasonal=None).fit()\n"
],
"execution_count": 104,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "i9QU2dNHlENq",
"outputId": "57a09297-3f6d-4dde-f430-9ec0a32d1f99"
},
"source": [
"df_birth_train.shape"
],
"execution_count": 107,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(335, 1)"
]
},
"metadata": {
"tags": []
},
"execution_count": 107
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "nYDC6SuwlJr1",
"outputId": "f17a9808-b5a1-4862-fa01-63c70aaed940"
},
"source": [
"df_birth_test.shape"
],
"execution_count": 108,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(31, 1)"
]
},
"metadata": {
"tags": []
},
"execution_count": 108
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JMEXhRuslO4d"
},
"source": [
"model_birth_forecast_smooth = model_birth_adjusted.predict(start=335,end=365)"
],
"execution_count": 109,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "1LUXh0QhkpMC",
"outputId": "4ff72a04-d67e-4084-8820-64601c3b9fa7"
},
"source": [
"plt.plot(df_birth_train)\n",
"plt.plot(df_birth_test,'g')\n",
"plt.plot(df_birth_test.index,model_birth_forecast_smooth,'r.')"
],
"execution_count": 111,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7efdf363eb38>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 111
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "NB6M7BECluuC"
},
"source": [
"**Comments:** The previous forecast was made disconsidering the seasonal part of the series. This is why the forecast is componsed by the trend only."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RCeXM4Hw2njc"
},
"source": [
"# Autoregressive model"
]
},
{
"cell_type": "code",
"metadata": {
"id": "fzvxbQkDkuNa"
},
"source": [
"from statsmodels.graphics.tsaplots import plot_acf"
],
"execution_count": 116,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 281
},
"id": "cSso9yYbxDVk",
"outputId": "1c2808e9-90fc-4e4e-806c-a81be0f7f891"
},
"source": [
"# Plot of the autocorrelation of the CO2 data\n",
"plot_acf(df_co2); # semicomma is used to produce a single plot. Otherwhise it plots 2 of them"
],
"execution_count": 118,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "xAr-2jAZ3M0j"
},
"source": [
"**Comments:** there are several peaks pecause there are several similar regions in the dataset. The shade area is a confidence cone."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "TxYxII3n30m7"
},
"source": [
"Sometimes, the autocorrelation is partial."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 281
},
"id": "afU2bCtN3A4c",
"outputId": "7424f213-3d89-46cd-94a9-9301fc2a2bde"
},
"source": [
"from statsmodels.graphics.tsaplots import plot_pacf\n",
"plot_pacf(df_co2,lags=20);"
],
"execution_count": 120,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 281
},
"id": "yayO_PHb4Wfn",
"outputId": "53457394-2192-413a-ed55-2631c84e4a63"
},
"source": [
"plot_pacf(df_birth['n_birth'],lags=20);"
],
"execution_count": 121,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 281
},
"id": "R9ZEuBTs4mrH",
"outputId": "b0474331-c947-4ce9-9cde-5a42e95a0022"
},
"source": [
"plot_acf(df_birth['n_birth'],lags=20);"
],
"execution_count": 122,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "kxe8LM8J5RZ1"
},
"source": [
"We are going to use the lag values that are superior to the cone to study the sazonality."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Sv0fae6IAp8j",
"outputId": "13e4fa62-46d5-491a-8763-e8d5a5914c4b"
},
"source": [
"from statsmodels.tsa.ar_model import AutoReg\n",
"lag_list=np.linspace(1,40,40)\n",
"lag_list"
],
"execution_count": 183,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([ 1., 2., 3., 4., 5., 6., 7., 8., 9., 10., 11., 12., 13.,\n",
" 14., 15., 16., 17., 18., 19., 20., 21., 22., 23., 24., 25., 26.,\n",
" 27., 28., 29., 30., 31., 32., 33., 34., 35., 36., 37., 38., 39.,\n",
" 40.])"
]
},
"metadata": {
"tags": []
},
"execution_count": 183
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "84WDVdWK41fJ",
"outputId": "cba6e381-20cd-4ee8-87e2-b955233b8e60"
},
"source": [
"# Model using autoregression\n",
"model_co2_adjusted_ar = AutoReg(df_co2_train.values,lags=lag_list,trend='c',seasonal=True,period=35).fit()\n",
"model_co2_adjusted_ar"
],
"execution_count": 184,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<statsmodels.tsa.ar_model.AutoRegResultsWrapper at 0x7efde9f00da0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 184
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Bmd81m35A61H",
"outputId": "5bc56ab0-d192-45d0-8864-5f62ead14542"
},
"source": [
"model_co2_forecast_ar = model_co2_adjusted_ar.predict(start=420,end=476)\n",
"model_co2_forecast_ar.shape"
],
"execution_count": 185,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(177,)"
]
},
"metadata": {
"tags": []
},
"execution_count": 185
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "rEubSLjBEMcv",
"outputId": "d1d5b86e-bdbc-449f-df29-3fb5d215eb76"
},
"source": [
"df_co2_train.shape"
],
"execution_count": 186,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(300, 1)"
]
},
"metadata": {
"tags": []
},
"execution_count": 186
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 535
},
"id": "NYb7tnCVA7W-",
"outputId": "58620137-a16b-446c-da48-6b5041b5ad10"
},
"source": [
"plt.figure(figsize=(12,8))\n",
"plt.title('CO2 AVG forecast',fontsize='x-large')\n",
"plt.plot(df_co2_train,label='Train data')\n",
"plt.plot(df_co2_test,'k',label='Test data')\n",
"plt.plot(df_co2_test.index,model_co2_forecast_ac[0:df_co2_test.index.shape[0]],'r.',label='Forecast')\n",
"plt.legend()\n",
"plt.xlabel('Year',fontsize='x-large')\n",
"plt.ylabel('CO2 AVG (parts per million)',fontsize='x-large')"
],
"execution_count": 187,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0, 0.5, 'CO2 AVG (parts per million)')"
]
},
"metadata": {
"tags": []
},
"execution_count": 187
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "4-TtcTEhFd1i"
},
"source": [
"**Comments:** Now we can see that the forecast seems pretty similar to the expected."
]
},
{
"cell_type": "code",
"metadata": {
"id": "QoJrKm4vDmg7"
},
"source": [
"# Now the same analysis for births\n",
"model_birth_adjusted_ac = AutoReg(df_birth_train.values,lags=lag_list,trend='c',seasonal=True,period=35).fit()\n",
"model_birth_forecast_ac = model_birth_adjusted_ar.predict(start=335,end=365)"
],
"execution_count": 193,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 535
},
"id": "mZxlkKGcFUIl",
"outputId": "37debe73-8bb0-4722-8243-a075584183c8"
},
"source": [
"plt.figure(figsize=(18,8))\n",
"plt.title('N_Birth forecast',fontsize='x-large')\n",
"plt.plot(df_birth_train,label='Train data')\n",
"plt.plot(df_birth_test,'k',label='Test data')\n",
"plt.plot(df_birth_test.index,model_birth_forecast_ac[0:df_birth_test.index.shape[0]],'r',label='Forecast')\n",
"plt.legend()\n",
"plt.xlabel('Year',fontsize='x-large')\n",
"plt.ylabel('N_Births',fontsize='x-large')"
],
"execution_count": 197,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0, 0.5, 'N_Births')"
]
},
"metadata": {
"tags": []
},
"execution_count": 197
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "LEtOO0VNJWCB"
},
"source": [
"**Comments:** the forecast seems to follow the ups and downs from the original dataset but there is a plentty of opportunities for accuracy improvements."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "IwTuzCMBR8R7"
},
"source": [
"# Performance measurement\n",
"\n",
"\n",
"---\n",
"\n",
"Now we are going to compare the results from the models Holt-Winters and Autoregressive. As the regression did not performed well in the N_births dataset, we are going to focus in shc dataset."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 530
},
"id": "kYAzJRFZI60S",
"outputId": "9fd28f76-932f-4359-99d2-2f19ec33d132"
},
"source": [
"plt.figure(figsize=(16,8))\n",
"plt.title('Regression performance benchmark')\n",
"plt.plot(df_birth_test,'g.-',label='True values')\n",
"plt.plot(df_birth_test.index,model_birth_forecast_smooth,'b.-',label='Forecast HoltWInters')\n",
"plt.plot(df_birth_test.index,model_birth_forecast_ar,'r.-',label='Forecast Autoregression')\n",
"plt.ylabel('Number of births')\n",
"plt.xlabel('Date')\n",
"plt.legend()"
],
"execution_count": 204,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7efde7800eb8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 204
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ssQUhD3uV_dC"
},
"source": [
"**Error plot and quantification**"
]
},
{
"cell_type": "code",
"metadata": {
"id": "RbSYBIHrTjTN"
},
"source": [
"error_forecast_hw = df_birth_test['n_birth'] - model_birth_forecast_smooth"
],
"execution_count": 205,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "8h9Nqhz2WTTt"
},
"source": [
"error_forecast_ar = df_birth_test['n_birth'] - model_birth_forecast_ar"
],
"execution_count": 206,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "jxxyMXJtWXvs",
"outputId": "d065c008-3b47-4e59-edf9-3fe8f3465f2e"
},
"source": [
"plt.plot(error_forecast_ar,'g')\n",
"plt.plot(error_forecast_hw,'r')"
],
"execution_count": 208,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7efde6454630>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 208
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Uduu5I8pWgSG",
"outputId": "da44c24e-801f-4c3d-85e5-f290ee3f6f1d"
},
"source": [
"print('Erros as mean of abs:')\n",
"print('Error autoregression:' ,np.mean(np.abs(error_forecast_ar))) #error_mean_ar=\n",
"print('Error Holt-Winter:' ,np.mean(np.abs(error_forecast_hw))) #error_mean_hw"
],
"execution_count": 214,
"outputs": [
{
"output_type": "stream",
"text": [
"Erros as mean of abs\n",
"Error autoregression: 5.496720548092113\n",
"Error Holt-Winter: 6.374537352069753\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "CdIr3FeVXFoe"
},
"source": [
"from sklearn.metrics import mean_absolute_error\n"
],
"execution_count": 215,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "bnZu9CLCYPIP"
},
"source": [
"# Same as before\n",
"mae_ar=mean_absolute_error(df_birth_test['n_birth'],model_birth_forecast_ar)\n"
],
"execution_count": 218,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "-oR6x1wXYYGu"
},
"source": [
"from sklearn.metrics import mean_squared_error"
],
"execution_count": 219,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "I4xFi3cIYxP-",
"outputId": "36aec24a-0dc1-433b-d361-35ee3fea90c0"
},
"source": [
"mean_squared_error(df_birth_test['n_birth'],model_birth_forecast_smooth)"
],
"execution_count": 221,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"54.39586172649378"
]
},
"metadata": {
"tags": []
},
"execution_count": 221
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "QcXUdXIgY3ih",
"outputId": "c5e5cad4-f32b-4e13-b9b6-15d964f88db3"
},
"source": [
"mean_squared_error(df_birth_test['n_birth'],model_birth_forecast_ar)"
],
"execution_count": 222,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"45.43739422181339"
]
},
"metadata": {
"tags": []
},
"execution_count": 222
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "WJdh-73DZJPX"
},
"source": [
"It means that the error in the autoregression model is lower"
]
},
{
"cell_type": "code",
"metadata": {
"id": "JSgOnxPkZGD-"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}
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