{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Forecasting with Facebook's Prophet\n",
"\n",
"This notebook shows how to use the [Prophet-algorithm](https://facebook.github.io/prophet/) developed by Facebook for forecasting time series."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# First install the required packages\n",
"!pip install pandas pystan matplotlib\n",
"!pip install fbprophet"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from fbprophet import Prophet\n",
"from fbprophet.plot import plot_yearly"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Read the data"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv(\"data/GlobalTemperatures.csv\", parse_dates=[0])\n",
"df = df[[\"dt\", \"LandAverageTemperature\"]]\n",
"df[\"LandAverageTemperature\"] = df[\"LandAverageTemperature\"].interpolate()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"df.rename(columns={\"dt\":\"ds\", \"LandAverageTemperature\": \"y\"}, inplace=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Split data by percentage"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"split_percentage = 80\n",
"train_size = int(df.shape[0]*(split_percentage/100))\n",
"train, test = df[:train_size], df[train_size:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create model and predict future"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
"INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
"C:\\ProgramData\\Anaconda3\\lib\\site-packages\\pystan\\misc.py:399: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
" elif np.issubdtype(np.asarray(v).dtype, float):\n"
]
},
{
"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",
"\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>ds</th>\n",
" <th>yhat</th>\n",
" <th>yhat_lower</th>\n",
" <th>yhat_upper</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>635</th>\n",
" <td>2015-08-31</td>\n",
" <td>12.797079</td>\n",
" <td>11.677862</td>\n",
" <td>14.044220</td>\n",
" </tr>\n",
" <tr>\n",
" <th>636</th>\n",
" <td>2015-09-30</td>\n",
" <td>10.403715</td>\n",
" <td>9.112078</td>\n",
" <td>11.612158</td>\n",
" </tr>\n",
" <tr>\n",
" <th>637</th>\n",
" <td>2015-10-31</td>\n",
" <td>6.404978</td>\n",
" <td>5.277403</td>\n",
" <td>7.581737</td>\n",
" </tr>\n",
" <tr>\n",
" <th>638</th>\n",
" <td>2015-11-30</td>\n",
" <td>4.220793</td>\n",
" <td>2.963257</td>\n",
" <td>5.403963</td>\n",
" </tr>\n",
" <tr>\n",
" <th>639</th>\n",
" <td>2015-12-31</td>\n",
" <td>3.097171</td>\n",
" <td>1.889019</td>\n",
" <td>4.350749</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ds yhat yhat_lower yhat_upper\n",
"635 2015-08-31 12.797079 11.677862 14.044220\n",
"636 2015-09-30 10.403715 9.112078 11.612158\n",
"637 2015-10-31 6.404978 5.277403 7.581737\n",
"638 2015-11-30 4.220793 2.963257 5.403963\n",
"639 2015-12-31 3.097171 1.889019 4.350749"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = Prophet()\n",
"m.fit(train)\n",
"\n",
"future = m.make_future_dataframe(periods=len(test)+1, freq='m', include_history=False)\n",
"future.tail()\n",
"\n",
"forecast = m.predict(future)\n",
"forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].tail()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot the results"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig1 = m.plot(forecast)"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig2 = m.plot_components(forecast)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Especially the last trend plot shows how the average temperature rose the past years."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Split data by year"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [],
"source": [
"train_start_date = '1900-01-01'\n",
"train_end_date = '1999-12-01'\n",
"test_start_date = '2000-01-01'\n",
"test_end_date = '2015-12-01'\n",
"\n",
"train = df[(df[\"ds\"] >= train_start_date) & (df[\"ds\"] <= train_end_date)]\n",
"test = df[(df[\"ds\"] >= test_start_date) & (df[\"ds\"] <= test_end_date)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create model and predict future"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
"INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
"C:\\ProgramData\\Anaconda3\\lib\\site-packages\\pystan\\misc.py:399: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
" elif np.issubdtype(np.asarray(v).dtype, float):\n"
]
},
{
"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",
"\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>ds</th>\n",
" <th>yhat</th>\n",
" <th>yhat_lower</th>\n",
" <th>yhat_upper</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>188</th>\n",
" <td>2015-08-31</td>\n",
" <td>13.183082</td>\n",
" <td>12.762133</td>\n",
" <td>13.612796</td>\n",
" </tr>\n",
" <tr>\n",
" <th>189</th>\n",
" <td>2015-09-30</td>\n",
" <td>10.683178</td>\n",
" <td>10.259379</td>\n",
" <td>11.101987</td>\n",
" </tr>\n",
" <tr>\n",
" <th>190</th>\n",
" <td>2015-10-31</td>\n",
" <td>7.143251</td>\n",
" <td>6.748653</td>\n",
" <td>7.575937</td>\n",
" </tr>\n",
" <tr>\n",
" <th>191</th>\n",
" <td>2015-11-30</td>\n",
" <td>4.828418</td>\n",
" <td>4.415568</td>\n",
" <td>5.261541</td>\n",
" </tr>\n",
" <tr>\n",
" <th>192</th>\n",
" <td>2015-12-31</td>\n",
" <td>3.825875</td>\n",
" <td>3.425469</td>\n",
" <td>4.271024</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ds yhat yhat_lower yhat_upper\n",
"188 2015-08-31 13.183082 12.762133 13.612796\n",
"189 2015-09-30 10.683178 10.259379 11.101987\n",
"190 2015-10-31 7.143251 6.748653 7.575937\n",
"191 2015-11-30 4.828418 4.415568 5.261541\n",
"192 2015-12-31 3.825875 3.425469 4.271024"
]
},
"execution_count": 89,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = Prophet()\n",
"m.fit(train)\n",
"\n",
"future = m.make_future_dataframe(periods=len(test)+1, freq='m', include_history=False)\n",
"future.tail()\n",
"\n",
"forecast = m.predict(future)\n",
"forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].tail()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create model and predict future"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig1 = m.plot(forecast)"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig2 = m.plot_components(forecast)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The last trend plot shows again how the average temperature rose the past years."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
This notebook shows how to use the Prophet-algorithm developed by Facebook for forecasting time series.
# First install the required packages
!pip install pandas pystan matplotlib
!pip install fbprophet
import pandas as pd
import matplotlib.pyplot as plt
from fbprophet import Prophet
from fbprophet.plot import plot_yearly
df = pd.read_csv("data/GlobalTemperatures.csv", parse_dates=[0])
df = df[["dt", "LandAverageTemperature"]]
df["LandAverageTemperature"] = df["LandAverageTemperature"].interpolate()
df.rename(columns={"dt":"ds", "LandAverageTemperature": "y"}, inplace=True)
split_percentage = 80
train_size = int(df.shape[0]*(split_percentage/100))
train, test = df[:train_size], df[train_size:]
m = Prophet()
m.fit(train)
future = m.make_future_dataframe(periods=len(test)+1, freq='m', include_history=False)
future.tail()
forecast = m.predict(future)
forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].tail()
INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.
INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.
C:\ProgramData\Anaconda3\lib\site-packages\pystan\misc.py:399: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.
elif np.issubdtype(np.asarray(v).dtype, float):
ds | yhat | yhat_lower | yhat_upper | |
---|---|---|---|---|
635 | 2015-08-31 | 12.797079 | 11.677862 | 14.044220 |
636 | 2015-09-30 | 10.403715 | 9.112078 | 11.612158 |
637 | 2015-10-31 | 6.404978 | 5.277403 | 7.581737 |
638 | 2015-11-30 | 4.220793 | 2.963257 | 5.403963 |
639 | 2015-12-31 | 3.097171 | 1.889019 | 4.350749 |
fig1 = m.plot(forecast)
fig2 = m.plot_components(forecast)
Especially the last trend plot shows how the average temperature rose the past years.
train_start_date = '1900-01-01'
train_end_date = '1999-12-01'
test_start_date = '2000-01-01'
test_end_date = '2015-12-01'
train = df[(df["ds"] >= train_start_date) & (df["ds"] <= train_end_date)]
test = df[(df["ds"] >= test_start_date) & (df["ds"] <= test_end_date)]
m = Prophet()
m.fit(train)
future = m.make_future_dataframe(periods=len(test)+1, freq='m', include_history=False)
future.tail()
forecast = m.predict(future)
forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].tail()
INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.
INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.
C:\ProgramData\Anaconda3\lib\site-packages\pystan\misc.py:399: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.
elif np.issubdtype(np.asarray(v).dtype, float):
ds | yhat | yhat_lower | yhat_upper | |
---|---|---|---|---|
188 | 2015-08-31 | 13.183082 | 12.762133 | 13.612796 |
189 | 2015-09-30 | 10.683178 | 10.259379 | 11.101987 |
190 | 2015-10-31 | 7.143251 | 6.748653 | 7.575937 |
191 | 2015-11-30 | 4.828418 | 4.415568 | 5.261541 |
192 | 2015-12-31 | 3.825875 | 3.425469 | 4.271024 |
fig1 = m.plot(forecast)
fig2 = m.plot_components(forecast)
The last trend plot shows again how the average temperature rose the past years.