Time Series Forecasting With Prophet in Python

Time series forecasting can be challenging as there are many different methods you could use and many different hyperparameters for each method.

The Prophet library is an open-source library designed for making forecasts for univariate time series datasets.

It is easy to use and designed to automatically find a good set of hyperparameters for the model in an effort to make skillful forecasts for data with trends and seasonal structure by default.

In this tutorial, you will discover how to use the Facebook Prophet library for time series forecasting.

After completing this tutorial, you will know:Let’s get started.

Time Series Forecasting With Prophet in PythonPhoto by Rinaldo Wurglitsch, some rights reserved.

This tutorial is divided into three parts; they are:Prophet, or “Facebook Prophet,” is an open-source library for univariate (one variable) time series forecasting developed by Facebook.

Prophet implements what they refer to as an additive time series forecasting model, and the implementation supports trends, seasonality, and holidays.

Implements a procedure for forecasting time series data based on an additive model where non-linear trends are fit with yearly, weekly, and daily seasonality, plus holiday effects— Package ‘prophet’, 2019.

It is designed to be easy and completely automatic, e.


point it at a time series and get a forecast.

As such, it is intended for internal company use, such as forecasting sales, capacity, etc.

For a great overview of Prophet and its capabilities, see the post:The library provides two interfaces, including R and Python.

We will focus on the Python interface in this tutorial.

The first step is to install the Prophet library using Pip, as follows:Next, we can confirm that the library was installed correctly.

To do this, we can import the library and print the version number in Python.

The complete example is listed below.

Running the example prints the installed version of Prophet.

You should have the same version or higher.

Now that we have Prophet installed, let’s select a dataset we can use to explore using the library.

We will use the monthly car sales dataset.

It is a standard univariate time series dataset that contains both a trend and seasonality.

The dataset has 108 months of data and a naive persistence forecast can achieve a mean absolute error of about 3,235 sales, providing a lower error limit.

No need to download the dataset as we will download it automatically as part of each example.

First, let’s load and summarize the dataset.

Prophet requires data to be in Pandas DataFrames.

Therefore, we will load and summarize the data using Pandas.

We can load the data directly from the URL by calling the read_csv() Pandas function, then summarize the shape (number of rows and columns) of the data and view the first few rows of data.

The complete example is listed below.

Running the example first reports the number of rows and columns, then lists the first five rows of data.

We can see that as we expected, there are 108 months worth of data and two columns.

The first column is the date and the second is the number of sales.

Note that the first column in the output is a row index and is not a part of the dataset, just a helpful tool that Pandas uses to order rows.

A time-series dataset does not make sense to us until we plot it.

Plotting a time series helps us actually see if there is a trend, a seasonal cycle, outliers, and more.

It gives us a feel for the data.

We can plot the data easily in Pandas by calling the plot() function on the DataFrame.

The complete example is listed below.

Running the example creates a plot of the time series.

We can clearly see the trend in sales over time and a monthly seasonal pattern to the sales.

These are patterns we expect the forecast model to take into account.

Line Plot of Car Sales DatasetNow that we are familiar with the dataset, let’s explore how we can use the Prophet library to make forecasts.

In this section, we will explore using the Prophet to forecast the car sales dataset.

Let’s start by fitting a model on the datasetTo use Prophet for forecasting, first, a Prophet() object is defined and configured, then it is fit on the dataset by calling the fit() function and passing the data.

The Prophet() object takes arguments to configure the type of model you want, such as the type of growth, the type of seasonality, and more.

By default, the model will work hard to figure out almost everything automatically.

The fit() function takes a DataFrame of time series data.

The DataFrame must have a specific format.

The first column must have the name ‘ds‘ and contain the date-times.

The second column must have the name ‘y‘ and contain the observations.

This means we change the column names in the dataset.

It also requires that the first column be converted to date-time objects, if they are not already (e.


this can be down as part of loading the dataset with the right arguments to read_csv).

For example, we can modify our loaded car sales dataset to have this expected structure, as follows:The complete example of fitting a Prophet model on the car sales dataset is listed below.

Running the example loads the dataset, prepares the DataFrame in the expected format, and fits a Prophet model.

By default, the library provides a lot of verbose output during the fit process.

I think it’s a bad idea in general as it trains developers to ignore output.

Nevertheless, the output summarizes what happened during the model fitting process, specifically the optimization processes that ran.

I will not reproduce this output in subsequent sections when we fit the model.

Next, let’s make a forecast.

It can be useful to make a forecast on historical data.

That is, we can make a forecast on data used as input to train the model.

Ideally, the model has seen the data before and would make a perfect prediction.

Nevertheless, this is not the case as the model tries to generalize across all cases in the data.

This is called making an in-sample (in training set sample) forecast and reviewing the results can give insight into how good the model is.

That is, how well it learned the training data.

A forecast is made by calling the predict() function and passing a DataFrame that contains one column named ‘ds‘ and rows with date-times for all the intervals to be predicted.

There are many ways to create this “forecast” DataFrame.

In this case, we will loop over one year of dates, e.


the last 12 months in the dataset, and create a string for each month.

We will then convert the list of dates into a DataFrame and convert the string values into date-time objects.

This DataFrame can then be provided to the predict() function to calculate a forecast.

The result of the predict() function is a DataFrame that contains many columns.

Perhaps the most important columns are the forecast date time (‘ds‘), the forecasted value (‘yhat‘), and the lower and upper bounds on the predicted value (‘yhat_lower‘ and ‘yhat_upper‘) that provide uncertainty of the forecast.

For example, we can print the first few predictions as follows:Prophet also provides a built-in tool for visualizing the prediction in the context of the training dataset.

This can be achieved by calling the plot() function on the model and passing it a result DataFrame.

It will create a plot of the training dataset and overlay the prediction with the upper and lower bounds for the forecast dates.

Tying this all together, a complete example of making an in-sample forecast is listed below.

Running the example forecasts the last 12 months of the dataset.

The first five months of the prediction are reported and we can see that values are not too different from the actual sales values in the dataset.

Next, a plot is created.

We can see the training data are represented as black dots and the forecast is a blue line with upper and lower bounds in a blue shaded area.

We can see that the forecasted 12 months is a good match for the real observations, especially when the bounds are taken into account.

Plot of Time Series and In-Sample Forecast With ProphetIn practice, we really want a forecast model to make a prediction beyond the training data.

This is called an out-of-sample forecast.

We can achieve this in the same way as an in-sample forecast and simply specify a different forecast period.

In this case, a period beyond the end of the training dataset, starting 1969-01.

Tying this together, the complete example is listed below.

Running the example makes an out-of-sample forecast for the car sales data.

The first five rows of the forecast are printed, although it is hard to get an idea of whether they are sensible or not.

A plot is created to help us evaluate the prediction in the context of the training data.

The new one-year forecast does look sensible, at least by eye.

Plot of Time Series and Out-of-Sample Forecast With ProphetIt is critical to develop an objective estimate of a forecast model’s performance.

This can be achieved by holding some data back from the model, such as the last 12 months.

Then, fitting the model on the first portion of the data, using it to make predictions on the held-pack portion, and calculating an error measure, such as the mean absolute error across the forecasts.



a simulated out-of-sample forecast.

The score gives an estimate of how well we might expect the model to perform on average when making an out-of-sample forecast.

We can do this with the samples data by creating a new DataFrame for training with the last 12 months removed.

A forecast can then be made on the last 12 months of date-times.

We can then retrieve the forecast values and the expected values from the original dataset and calculate a mean absolute error metric using the scikit-learn library.

It can also be helpful to plot the expected vs.

predicted values to see how well the out-of-sample prediction matches the known values.

Tying this together, the example below demonstrates how to evaluate a Prophet model on a hold-out dataset.

Running the example first reports the last few rows of the training dataset.

It confirms the training ends in the last month of 1967 and 1968 will be used as the hold-out dataset.

Next, a mean absolute error is calculated for the forecast period.

In this case we can see that the error is approximately 1,336 sales, which is much lower (better) than a naive persistence model that achieves an error of 3,235 sales over the same period.

Finally, a plot is created comparing the actual vs.

predicted values.

In this case, we can see that the forecast is a good fit.

The model has skill and forecast that looks sensible.

Plot of Actual vs.

Predicted Values for Last 12 Months of Car SalesThe Prophet library also provides tools to automatically evaluate models and plot results, although those tools don’t appear to work well with data above one day in resolution.

This section provides more resources on the topic if you are looking to go deeper.

In this tutorial, you discovered how to use the Facebook Prophet library for time series forecasting.

Specifically, you learned:Do you have any questions? Ask your questions in the comments below and I will do my best to answer.

Discover how in my new Ebook: Introduction to Time Series Forecasting With PythonIt covers self-study tutorials and end-to-end projects on topics like: Loading data, visualization, modeling, algorithm tuning, and much more.

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Just Results.


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