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.. currentmodule:: pandas
.. ipython:: python
   :suppress:

   from datetime import datetime, timedelta
   import numpy as np
   np.random.seed(123456)
   from pandas import *
   randn = np.random.randn
   randint = np.random.randint
   np.set_printoptions(precision=4, suppress=True)
   options.display.max_rows=15
   import dateutil
   import pytz
   from dateutil.relativedelta import relativedelta
   from pandas.tseries.api import *
   from pandas.tseries.offsets import *

Time Series / Date functionality

pandas has proven very successful as a tool for working with time series data, especially in the financial data analysis space. With the 0.8 release, we have further improved the time series API in pandas by leaps and bounds. Using the new NumPy datetime64 dtype, we have consolidated a large number of features from other Python libraries like scikits.timeseries as well as created a tremendous amount of new functionality for manipulating time series data.

In working with time series data, we will frequently seek to:

  • generate sequences of fixed-frequency dates and time spans
  • conform or convert time series to a particular frequency
  • compute "relative" dates based on various non-standard time increments (e.g. 5 business days before the last business day of the year), or "roll" dates forward or backward

pandas provides a relatively compact and self-contained set of tools for performing the above tasks.

Create a range of dates:

.. ipython:: python

   # 72 hours starting with midnight Jan 1st, 2011
   rng = date_range('1/1/2011', periods=72, freq='H')
   rng[:5]

Index pandas objects with dates:

.. ipython:: python

   ts = Series(randn(len(rng)), index=rng)
   ts.head()

Change frequency and fill gaps:

.. ipython:: python

   # to 45 minute frequency and forward fill
   converted = ts.asfreq('45Min', method='pad')
   converted.head()

Resample:

.. ipython:: python

   # Daily means
   ts.resample('D', how='mean')


Time Stamps vs. Time Spans

Time-stamped data is the most basic type of timeseries data that associates values with points in time. For pandas objects it means using the points in time to create the index

.. ipython:: python

   dates = [datetime(2012, 5, 1), datetime(2012, 5, 2), datetime(2012, 5, 3)]
   ts = Series(np.random.randn(3), dates)

   type(ts.index)

   ts

However, in many cases it is more natural to associate things like change variables with a time span instead.

For example:

.. ipython:: python

   periods = PeriodIndex([Period('2012-01'), Period('2012-02'),
                          Period('2012-03')])

   ts = Series(np.random.randn(3), periods)

   type(ts.index)

   ts

Starting with 0.8, pandas allows you to capture both representations and convert between them. Under the hood, pandas represents timestamps using instances of Timestamp and sequences of timestamps using instances of DatetimeIndex. For regular time spans, pandas uses Period objects for scalar values and PeriodIndex for sequences of spans. Better support for irregular intervals with arbitrary start and end points are forth-coming in future releases.

Converting to Timestamps

To convert a Series or list-like object of date-like objects e.g. strings, epochs, or a mixture, you can use the to_datetime function. When passed a Series, this returns a Series (with the same index), while a list-like is converted to a DatetimeIndex:

.. ipython:: python

    to_datetime(Series(['Jul 31, 2009', '2010-01-10', None]))

    to_datetime(['2005/11/23', '2010.12.31'])

If you use dates which start with the day first (i.e. European style), you can pass the dayfirst flag:

.. ipython:: python

    to_datetime(['04-01-2012 10:00'], dayfirst=True)

    to_datetime(['14-01-2012', '01-14-2012'], dayfirst=True)

Warning

You see in the above example that dayfirst isn't strict, so if a date can't be parsed with the day being first it will be parsed as if dayfirst were False.

Note

Specifying a format argument will potentially speed up the conversion considerably and on versions later then 0.13.0 explicitly specifying a format string of '%Y%m%d' takes a faster path still.

Invalid Data

Pass coerce=True to convert invalid data to NaT (not a time):

.. ipython:: python

   to_datetime(['2009-07-31', 'asd'])

   to_datetime(['2009-07-31', 'asd'], coerce=True)


Take care, to_datetime may not act as you expect on mixed data:

.. ipython:: python

   to_datetime([1, '1'])

Epoch Timestamps

It's also possible to convert integer or float epoch times. The default unit for these is nanoseconds (since these are how Timestamps are stored). However, often epochs are stored in another unit which can be specified:

Typical epoch stored units

.. ipython:: python

   to_datetime([1349720105, 1349806505, 1349892905,
                1349979305, 1350065705], unit='s')

   to_datetime([1349720105100, 1349720105200, 1349720105300,
                1349720105400, 1349720105500 ], unit='ms')

These work, but the results may be unexpected.

.. ipython:: python

   to_datetime([1])

   to_datetime([1, 3.14], unit='s')

Note

Epoch times will be rounded to the nearest nanosecond.

Generating Ranges of Timestamps

To generate an index with time stamps, you can use either the DatetimeIndex or Index constructor and pass in a list of datetime objects:

.. ipython:: python

   dates = [datetime(2012, 5, 1), datetime(2012, 5, 2), datetime(2012, 5, 3)]
   index = DatetimeIndex(dates)
   index # Note the frequency information

   index = Index(dates)
   index # Automatically converted to DatetimeIndex

Practically, this becomes very cumbersome because we often need a very long index with a large number of timestamps. If we need timestamps on a regular frequency, we can use the pandas functions date_range and bdate_range to create timestamp indexes.

.. ipython:: python

   index = date_range('2000-1-1', periods=1000, freq='M')
   index

   index = bdate_range('2012-1-1', periods=250)
   index

Convenience functions like date_range and bdate_range utilize a variety of frequency aliases. The default frequency for date_range is a calendar day while the default for bdate_range is a business day

.. ipython:: python

   start = datetime(2011, 1, 1)
   end = datetime(2012, 1, 1)

   rng = date_range(start, end)
   rng

   rng = bdate_range(start, end)
   rng

date_range and bdate_range makes it easy to generate a range of dates using various combinations of parameters like start, end, periods, and freq:

.. ipython:: python

   date_range(start, end, freq='BM')

   date_range(start, end, freq='W')

   bdate_range(end=end, periods=20)

   bdate_range(start=start, periods=20)

The start and end dates are strictly inclusive. So it will not generate any dates outside of those dates if specified.

DatetimeIndex

One of the main uses for DatetimeIndex is as an index for pandas objects. The DatetimeIndex class contains many timeseries related optimizations:

  • A large range of dates for various offsets are pre-computed and cached under the hood in order to make generating subsequent date ranges very fast (just have to grab a slice)
  • Fast shifting using the shift and tshift method on pandas objects
  • Unioning of overlapping DatetimeIndex objects with the same frequency is very fast (important for fast data alignment)
  • Quick access to date fields via properties such as year, month, etc.
  • Regularization functions like snap and very fast asof logic

DatetimeIndex objects has all the basic functionality of regular Index objects and a smorgasbord of advanced timeseries-specific methods for easy frequency processing.

.. seealso::
    :ref:`Reindexing methods <basics.reindexing>`

Note

While pandas does not force you to have a sorted date index, some of these methods may have unexpected or incorrect behavior if the dates are unsorted. So please be careful.

DatetimeIndex can be used like a regular index and offers all of its intelligent functionality like selection, slicing, etc.

.. ipython:: python

   rng = date_range(start, end, freq='BM')
   ts = Series(randn(len(rng)), index=rng)
   ts.index
   ts[:5].index
   ts[::2].index

DatetimeIndex Partial String Indexing

You can pass in dates and strings that parse to dates as indexing parameters:

.. ipython:: python

   ts['1/31/2011']

   ts[datetime(2011, 12, 25):]

   ts['10/31/2011':'12/31/2011']

To provide convenience for accessing longer time series, you can also pass in the year or year and month as strings:

.. ipython:: python

   ts['2011']

   ts['2011-6']

This type of slicing will work on a DataFrame with a DateTimeIndex as well. Since the partial string selection is a form of label slicing, the endpoints will be included. This would include matching times on an included date. Here's an example:

.. ipython:: python

   dft = DataFrame(randn(100000,1),columns=['A'],index=date_range('20130101',periods=100000,freq='T'))
   dft
   dft['2013']

This starts on the very first time in the month, and includes the last date & time for the month

.. ipython:: python

   dft['2013-1':'2013-2']

This specifies a stop time that includes all of the times on the last day

.. ipython:: python

   dft['2013-1':'2013-2-28']

This specifies an exact stop time (and is not the same as the above)

.. ipython:: python

   dft['2013-1':'2013-2-28 00:00:00']

We are stopping on the included end-point as its part of the index

.. ipython:: python

   dft['2013-1-15':'2013-1-15 12:30:00']

Warning

The following selection will raise a KeyError; otherwise this selection methodology would be inconsistent with other selection methods in pandas (as this is not a slice, nor does it resolve to one)

dft['2013-1-15 12:30:00']

To select a single row, use .loc

.. ipython:: python

   dft.loc['2013-1-15 12:30:00']

Datetime Indexing

Indexing a DateTimeIndex with a partial string depends on the "accuracy" of the period, in other words how specific the interval is in relation to the frequency of the index. In contrast, indexing with datetime objects is exact, because the objects have exact meaning. These also follow the semantics of including both endpoints.

These datetime objects are specific hours, minutes, and seconds even though they were not explicitly specified (they are 0).

.. ipython:: python

   dft[datetime(2013, 1, 1):datetime(2013,2,28)]

With no defaults.

.. ipython:: python

   dft[datetime(2013, 1, 1, 10, 12, 0):datetime(2013, 2, 28, 10, 12, 0)]


Truncating & Fancy Indexing

A truncate convenience function is provided that is equivalent to slicing:

.. ipython:: python

   ts.truncate(before='10/31/2011', after='12/31/2011')

Even complicated fancy indexing that breaks the DatetimeIndex's frequency regularity will result in a DatetimeIndex (but frequency is lost):

.. ipython:: python

   ts[[0, 2, 6]].index

Time/Date Components

There are several time/date properties that one can access from Timestamp or a collection of timestamps like a DateTimeIndex.

Property Description
year The year of the datetime
month The month of the datetime
day The days of the datetime
hour The hour of the datetime
minute The minutes of the datetime
second The seconds of the datetime
microsecond The microseconds of the datetime
nanosecond The nanoseconds of the datetime
date Returns datetime.date
time Returns datetime.time
dayofyear The ordinal day of year
weekofyear The week ordinal of the year
week The week ordinal of the year
dayofweek The day of the week with Monday=0, Sunday=6
weekday The day of the week with Monday=0, Sunday=6
quarter Quarter of the date: Jan=Mar = 1, Apr-Jun = 2, etc.
is_month_start Logical indicating if first day of month (defined by frequency)
is_month_end Logical indicating if last day of month (defined by frequency)
is_quarter_start Logical indicating if first day of quarter (defined by frequency)
is_quarter_end Logical indicating if last day of quarter (defined by frequency)
is_year_start Logical indicating if first day of year (defined by frequency)
is_year_end Logical indicating if last day of year (defined by frequency)

Furthermore, if you have a Series with datetimelike values, then you can access these properties via the .dt accessor, see the :ref:`docs <basics.dt_accessors>`

DateOffset objects

In the preceding examples, we created DatetimeIndex objects at various frequencies by passing in frequency strings like 'M', 'W', and 'BM to the freq keyword. Under the hood, these frequency strings are being translated into an instance of pandas DateOffset, which represents a regular frequency increment. Specific offset logic like "month", "business day", or "one hour" is represented in its various subclasses.

Class name Description
DateOffset Generic offset class, defaults to 1 calendar day
BDay business day (weekday)
CDay custom business day (experimental)
Week one week, optionally anchored on a day of the week
WeekOfMonth the x-th day of the y-th week of each month
LastWeekOfMonth the x-th day of the last week of each month
MonthEnd calendar month end
MonthBegin calendar month begin
BMonthEnd business month end
BMonthBegin business month begin
CBMonthEnd custom business month end
CBMonthBegin custom business month begin
QuarterEnd calendar quarter end
QuarterBegin calendar quarter begin
BQuarterEnd business quarter end
BQuarterBegin business quarter begin
FY5253Quarter retail (aka 52-53 week) quarter
YearEnd calendar year end
YearBegin calendar year begin
BYearEnd business year end
BYearBegin business year begin
FY5253 retail (aka 52-53 week) year
Hour one hour
Minute one minute
Second one second
Milli one millisecond
Micro one microsecond

The basic DateOffset takes the same arguments as dateutil.relativedelta, which works like:

.. ipython:: python

   d = datetime(2008, 8, 18, 9, 0)
   d + relativedelta(months=4, days=5)

We could have done the same thing with DateOffset:

.. ipython:: python

   from pandas.tseries.offsets import *
   d + DateOffset(months=4, days=5)

The key features of a DateOffset object are:

  • it can be added / subtracted to/from a datetime object to obtain a shifted date
  • it can be multiplied by an integer (positive or negative) so that the increment will be applied multiple times
  • it has rollforward and rollback methods for moving a date forward or backward to the next or previous "offset date"

Subclasses of DateOffset define the apply function which dictates custom date increment logic, such as adding business days:

class BDay(DateOffset):
    """DateOffset increments between business days"""
    def apply(self, other):
        ...
.. ipython:: python

   d - 5 * BDay()
   d + BMonthEnd()

The rollforward and rollback methods do exactly what you would expect:

.. ipython:: python

   d
   offset = BMonthEnd()
   offset.rollforward(d)
   offset.rollback(d)

It's definitely worth exploring the pandas.tseries.offsets module and the various docstrings for the classes.

These operations (apply, rollforward and rollback) preserves time (hour, minute, etc) information by default. To reset time, use normalize=True keyword when create offset instance. If normalize=True, result is normalized after the function is applied.

.. ipython:: python

 day = Day()
 day.apply(Timestamp('2014-01-01 09:00'))

 day = Day(normalize=True)
 day.apply(Timestamp('2014-01-01 09:00'))

 hour = Hour()
 hour.apply(Timestamp('2014-01-01 22:00'))

 hour = Hour(normalize=True)
 hour.apply(Timestamp('2014-01-01 22:00'))
 hour.apply(Timestamp('2014-01-01 23:00'))


Parametric offsets

Some of the offsets can be "parameterized" when created to result in different behavior. For example, the Week offset for generating weekly data accepts a weekday parameter which results in the generated dates always lying on a particular day of the week:

.. ipython:: python

   d
   d + Week()
   d + Week(weekday=4)
   (d + Week(weekday=4)).weekday()

   d - Week()

normalize option will be effective for addition and subtraction.

.. ipython:: python

   d + Week(normalize=True)
   d - Week(normalize=True)


Another example is parameterizing YearEnd with the specific ending month:

.. ipython:: python

   d + YearEnd()
   d + YearEnd(month=6)

Custom Business Days (Experimental)

The CDay or CustomBusinessDay class provides a parametric BusinessDay class which can be used to create customized business day calendars which account for local holidays and local weekend conventions.

.. ipython:: python

    from pandas.tseries.offsets import CustomBusinessDay
    # As an interesting example, let's look at Egypt where
    # a Friday-Saturday weekend is observed.
    weekmask_egypt = 'Sun Mon Tue Wed Thu'
    # They also observe International Workers' Day so let's
    # add that for a couple of years
    holidays = ['2012-05-01', datetime(2013, 5, 1), np.datetime64('2014-05-01')]
    bday_egypt = CustomBusinessDay(holidays=holidays, weekmask=weekmask_egypt)
    dt = datetime(2013, 4, 30)
    dt + 2 * bday_egypt
    dts = date_range(dt, periods=5, freq=bday_egypt)
    Series(dts.weekday, dts).map(Series('Mon Tue Wed Thu Fri Sat Sun'.split()))

As of v0.14 holiday calendars can be used to provide the list of holidays. See the :ref:`holiday calendar<timeseries.holiday>` section for more information.

.. ipython:: python

    from pandas.tseries.holiday import USFederalHolidayCalendar
    bday_us = CustomBusinessDay(calendar=USFederalHolidayCalendar())
    # Friday before MLK Day
    dt = datetime(2014, 1, 17)
    # Tuesday after MLK Day (Monday is skipped because it's a holiday)
    dt + bday_us

Monthly offsets that respect a certain holiday calendar can be defined in the usual way.

.. ipython:: python

    from pandas.tseries.offsets import CustomBusinessMonthBegin
    bmth_us = CustomBusinessMonthBegin(calendar=USFederalHolidayCalendar())
    # Skip new years
    dt = datetime(2013, 12, 17)
    dt + bmth_us

    # Define date index with custom offset
    from pandas import DatetimeIndex
    DatetimeIndex(start='20100101',end='20120101',freq=bmth_us)

Note

The frequency string 'C' is used to indicate that a CustomBusinessDay DateOffset is used, it is important to note that since CustomBusinessDay is a parameterised type, instances of CustomBusinessDay may differ and this is not detectable from the 'C' frequency string. The user therefore needs to ensure that the 'C' frequency string is used consistently within the user's application.

Note

This uses the numpy.busdaycalendar API introduced in Numpy 1.7 and therefore requires Numpy 1.7.0 or newer.

Warning

There are known problems with the timezone handling in Numpy 1.7 and users should therefore use this experimental(!) feature with caution and at their own risk.

To the extent that the datetime64 and busdaycalendar APIs in Numpy have to change to fix the timezone issues, the behaviour of the CustomBusinessDay class may have to change in future versions.

Offset Aliases

A number of string aliases are given to useful common time series frequencies. We will refer to these aliases as offset aliases (referred to as time rules prior to v0.8.0).

Alias Description
B business day frequency
C custom business day frequency (experimental)
D calendar day frequency
W weekly frequency
M month end frequency
BM business month end frequency
CBM custom business month end frequency
MS month start frequency
BMS business month start frequency
CBMS custom business month start frequency
Q quarter end frequency
BQ business quarter endfrequency
QS quarter start frequency
BQS business quarter start frequency
A year end frequency
BA business year end frequency
AS year start frequency
BAS business year start frequency
H hourly frequency
T minutely frequency
S secondly frequency
L milliseonds
U microseconds
N nanoseconds

Combining Aliases

As we have seen previously, the alias and the offset instance are fungible in most functions:

.. ipython:: python

   date_range(start, periods=5, freq='B')

   date_range(start, periods=5, freq=BDay())

You can combine together day and intraday offsets:

.. ipython:: python

   date_range(start, periods=10, freq='2h20min')

   date_range(start, periods=10, freq='1D10U')

Anchored Offsets

For some frequencies you can specify an anchoring suffix:

Alias Description
W-SUN weekly frequency (sundays). Same as 'W'
W-MON weekly frequency (mondays)
W-TUE weekly frequency (tuesdays)
W-WED weekly frequency (wednesdays)
W-THU weekly frequency (thursdays)
W-FRI weekly frequency (fridays)
W-SAT weekly frequency (saturdays)
(B)Q(S)-DEC quarterly frequency, year ends in December. Same as 'Q'
(B)Q(S)-JAN quarterly frequency, year ends in January
(B)Q(S)-FEB quarterly frequency, year ends in February
(B)Q(S)-MAR quarterly frequency, year ends in March
(B)Q(S)-APR quarterly frequency, year ends in April
(B)Q(S)-MAY quarterly frequency, year ends in May
(B)Q(S)-JUN quarterly frequency, year ends in June
(B)Q(S)-JUL quarterly frequency, year ends in July
(B)Q(S)-AUG quarterly frequency, year ends in August
(B)Q(S)-SEP quarterly frequency, year ends in September
(B)Q(S)-OCT quarterly frequency, year ends in October
(B)Q(S)-NOV quarterly frequency, year ends in November
(B)A(S)-DEC annual frequency, anchored end of December. Same as 'A'
(B)A(S)-JAN annual frequency, anchored end of January
(B)A(S)-FEB annual frequency, anchored end of February
(B)A(S)-MAR annual frequency, anchored end of March
(B)A(S)-APR annual frequency, anchored end of April
(B)A(S)-MAY annual frequency, anchored end of May
(B)A(S)-JUN annual frequency, anchored end of June
(B)A(S)-JUL annual frequency, anchored end of July
(B)A(S)-AUG annual frequency, anchored end of August
(B)A(S)-SEP annual frequency, anchored end of September
(B)A(S)-OCT annual frequency, anchored end of October
(B)A(S)-NOV annual frequency, anchored end of November

These can be used as arguments to date_range, bdate_range, constructors for DatetimeIndex, as well as various other timeseries-related functions in pandas.

Legacy Aliases

Note that prior to v0.8.0, time rules had a slightly different look. pandas will continue to support the legacy time rules for the time being but it is strongly recommended that you switch to using the new offset aliases.

Legacy Time Rule Offset Alias
WEEKDAY B
EOM BM
W@MON W-MON
W@TUE W-TUE
W@WED W-WED
W@THU W-THU
W@FRI W-FRI
W@SAT W-SAT
W@SUN W-SUN
Q@JAN BQ-JAN
Q@FEB BQ-FEB
Q@MAR BQ-MAR
A@JAN BA-JAN
A@FEB BA-FEB
A@MAR BA-MAR
A@APR BA-APR
A@MAY BA-MAY
A@JUN BA-JUN
A@JUL BA-JUL
A@AUG BA-AUG
A@SEP BA-SEP
A@OCT BA-OCT
A@NOV BA-NOV
A@DEC BA-DEC
min T
ms L
us U

As you can see, legacy quarterly and annual frequencies are business quarter and business year ends. Please also note the legacy time rule for milliseconds ms versus the new offset alias for month start MS. This means that offset alias parsing is case sensitive.

Holidays / Holiday Calendars

Holidays and calendars provide a simple way to define holiday rules to be used with CustomBusinessDay or in other analysis that requires a predefined set of holidays. The AbstractHolidayCalendar class provides all the necessary methods to return a list of holidays and only rules need to be defined in a specific holiday calendar class. Further, start_date and end_date class attributes determine over what date range holidays are generated. These should be overwritten on the AbstractHolidayCalendar class to have the range apply to all calendar subclasses. USFederalHolidayCalendar is the only calendar that exists and primarily serves as an example for developing other calendars.

For holidays that occur on fixed dates (e.g., US Memorial Day or July 4th) an observance rule determines when that holiday is observed if it falls on a weekend or some other non-observed day. Defined observance rules are:

Rule Description
nearest_workday move Saturday to Friday and Sunday to Monday
sunday_to_monday move Sunday to following Monday
next_monday_or_tuesday move Saturday to Monday and Sunday/Monday to Tuesday
previous_friday move Saturday and Sunday to previous Friday"
next_monday move Saturday and Sunday to following Monday

An example of how holidays and holiday calendars are defined:

.. ipython:: python

    from pandas.tseries.holiday import Holiday, USMemorialDay,\
        AbstractHolidayCalendar, nearest_workday, MO
    class ExampleCalendar(AbstractHolidayCalendar):
        rules = [
            USMemorialDay,
            Holiday('July 4th', month=7, day=4, observance=nearest_workday),
            Holiday('Columbus Day', month=10, day=1,
                offset=DateOffset(weekday=MO(2))), #same as 2*Week(weekday=2)
            ]
    cal = ExampleCalendar()
    cal.holidays(datetime(2012, 1, 1), datetime(2012, 12, 31))

Using this calendar, creating an index or doing offset arithmetic skips weekends and holidays (i.e., Memorial Day/July 4th).

.. ipython:: python

    DatetimeIndex(start='7/1/2012', end='7/10/2012',
        freq=CDay(calendar=cal)).to_pydatetime()
    offset = CustomBusinessDay(calendar=cal)
    datetime(2012, 5, 25) + offset
    datetime(2012, 7, 3) + offset
    datetime(2012, 7, 3) + 2 * offset
    datetime(2012, 7, 6) + offset

Ranges are defined by the start_date and end_date class attributes of AbstractHolidayCalendar. The defaults are below.

.. ipython:: python

    AbstractHolidayCalendar.start_date
    AbstractHolidayCalendar.end_date

These dates can be overwritten by setting the attributes as datetime/Timestamp/string.

.. ipython:: python

    AbstractHolidayCalendar.start_date = datetime(2012, 1, 1)
    AbstractHolidayCalendar.end_date = datetime(2012, 12, 31)
    cal.holidays()

Every calendar class is accessible by name using the get_calendar function which returns a holiday class instance. Any imported calendar class will automatically be available by this function. Also, HolidayCalendarFactory provides an easy interface to create calendars that are combinations of calendars or calendars with additional rules.

.. ipython:: python

    from pandas.tseries.holiday import get_calendar, HolidayCalendarFactory,\
        USLaborDay
    cal = get_calendar('ExampleCalendar')
    cal.rules
    new_cal = HolidayCalendarFactory('NewExampleCalendar', cal, USLaborDay)
    new_cal.rules

Time series-related instance methods

Shifting / lagging

One may want to shift or lag the values in a TimeSeries back and forward in time. The method for this is shift, which is available on all of the pandas objects. In DataFrame, shift will currently only shift along the index and in Panel along the major_axis.

.. ipython:: python

   ts = ts[:5]
   ts.shift(1)

The shift method accepts an freq argument which can accept a DateOffset class or other timedelta-like object or also a :ref:`offset alias <timeseries.alias>`:

.. ipython:: python

   ts.shift(5, freq=datetools.bday)
   ts.shift(5, freq='BM')

Rather than changing the alignment of the data and the index, DataFrame and TimeSeries objects also have a tshift convenience method that changes all the dates in the index by a specified number of offsets:

.. ipython:: python

   ts.tshift(5, freq='D')

Note that with tshift, the leading entry is no longer NaN because the data is not being realigned.

Frequency conversion

The primary function for changing frequencies is the asfreq function. For a DatetimeIndex, this is basically just a thin, but convenient wrapper around reindex which generates a date_range and calls reindex.

.. ipython:: python

   dr = date_range('1/1/2010', periods=3, freq=3 * datetools.bday)
   ts = Series(randn(3), index=dr)
   ts
   ts.asfreq(BDay())

asfreq provides a further convenience so you can specify an interpolation method for any gaps that may appear after the frequency conversion

.. ipython:: python

   ts.asfreq(BDay(), method='pad')

Filling forward / backward

Related to asfreq and reindex is the fillna function documented in the :ref:`missing data section <missing_data.fillna>`.

Converting to Python datetimes

DatetimeIndex can be converted to an array of Python native datetime.datetime objects using the to_pydatetime method.

Up- and downsampling

With 0.8, pandas introduces simple, powerful, and efficient functionality for performing resampling operations during frequency conversion (e.g., converting secondly data into 5-minutely data). This is extremely common in, but not limited to, financial applications.

See some :ref:`cookbook examples <cookbook.resample>` for some advanced strategies

.. ipython:: python

   rng = date_range('1/1/2012', periods=100, freq='S')

   ts = Series(randint(0, 500, len(rng)), index=rng)

   ts.resample('5Min', how='sum')

The resample function is very flexible and allows you to specify many different parameters to control the frequency conversion and resampling operation.

The how parameter can be a function name or numpy array function that takes an array and produces aggregated values:

.. ipython:: python

   ts.resample('5Min') # default is mean

   ts.resample('5Min', how='ohlc')

   ts.resample('5Min', how=np.max)

Any function available via :ref:`dispatching <groupby.dispatch>` can be given to the how parameter by name, including sum, mean, std, sem, max, min, median, first, last, ohlc.

For downsampling, closed can be set to 'left' or 'right' to specify which end of the interval is closed:

.. ipython:: python

   ts.resample('5Min', closed='right')

   ts.resample('5Min', closed='left')

For upsampling, the fill_method and limit parameters can be specified to interpolate over the gaps that are created:

.. ipython:: python

   # from secondly to every 250 milliseconds

   ts[:2].resample('250L')

   ts[:2].resample('250L', fill_method='pad')

   ts[:2].resample('250L', fill_method='pad', limit=2)

Parameters like label and loffset are used to manipulate the resulting labels. label specifies whether the result is labeled with the beginning or the end of the interval. loffset performs a time adjustment on the output labels.

.. ipython:: python

   ts.resample('5Min') # by default label='right'

   ts.resample('5Min', label='left')

   ts.resample('5Min', label='left', loffset='1s')

The axis parameter can be set to 0 or 1 and allows you to resample the specified axis for a DataFrame.

kind can be set to 'timestamp' or 'period' to convert the resulting index to/from time-stamp and time-span representations. By default resample retains the input representation.

convention can be set to 'start' or 'end' when resampling period data (detail below). It specifies how low frequency periods are converted to higher frequency periods.

Note that 0.8 marks a watershed in the timeseries functionality in pandas. In previous versions, resampling had to be done using a combination of date_range, groupby with asof, and then calling an aggregation function on the grouped object. This was not nearly convenient or performant as the new pandas timeseries API.

Time Span Representation

Regular intervals of time are represented by Period objects in pandas while sequences of Period objects are collected in a PeriodIndex, which can be created with the convenience function period_range.

Period

A Period represents a span of time (e.g., a day, a month, a quarter, etc). It can be created using a frequency alias:

.. ipython:: python

   Period('2012', freq='A-DEC')

   Period('2012-1-1', freq='D')

   Period('2012-1-1 19:00', freq='H')

Unlike time stamped data, pandas does not support frequencies at multiples of DateOffsets (e.g., '3Min') for periods.

Adding and subtracting integers from periods shifts the period by its own frequency.

.. ipython:: python

   p = Period('2012', freq='A-DEC')

   p + 1

   p - 3

If Period freq is daily or higher (D, H, T, S, L, U, N), offsets and timedelta-like can be added if the result can have same freq. Otherise, ValueError will be raised.

.. ipython:: python

   p = Period('2014-07-01 09:00', freq='H')
   p + Hour(2)
   p + timedelta(minutes=120)
   p + np.timedelta64(7200, 's')

In [1]: p + Minute(5)
Traceback
   ...
ValueError: Input has different freq from Period(freq=H)

If Period has other freqs, only the same offsets can be added. Otherwise, ValueError will be raised.

.. ipython:: python

   p = Period('2014-07', freq='M')
   p + MonthEnd(3)

In [1]: p + MonthBegin(3)
Traceback
   ...
ValueError: Input has different freq from Period(freq=M)

Taking the difference of Period instances with the same frequency will return the number of frequency units between them:

.. ipython:: python

   Period('2012', freq='A-DEC') - Period('2002', freq='A-DEC')

PeriodIndex and period_range

Regular sequences of Period objects can be collected in a PeriodIndex, which can be constructed using the period_range convenience function:

.. ipython:: python

   prng = period_range('1/1/2011', '1/1/2012', freq='M')
   prng

The PeriodIndex constructor can also be used directly:

.. ipython:: python

   PeriodIndex(['2011-1', '2011-2', '2011-3'], freq='M')

Just like DatetimeIndex, a PeriodIndex can also be used to index pandas objects:

.. ipython:: python

   ps = Series(randn(len(prng)), prng)
   ps

PeriodIndex supports addition and subtraction as the same rule as Period.

.. ipython:: python

   idx = period_range('2014-07-01 09:00', periods=5, freq='H')
   idx
   idx + Hour(2)

   idx = period_range('2014-07', periods=5, freq='M')
   idx
   idx + MonthEnd(3)

PeriodIndex Partial String Indexing

You can pass in dates and strings to Series and DataFrame with PeriodIndex, as the same manner as DatetimeIndex. For details, refer to :ref:`DatetimeIndex Partial String Indexing <timeseries.partialindexing>`.

.. ipython:: python

   ps['2011-01']

   ps[datetime(2011, 12, 25):]

   ps['10/31/2011':'12/31/2011']

Passing string represents lower frequency than PeriodIndex returns partial sliced data.

.. ipython:: python

   ps['2011']

   dfp = DataFrame(randn(600,1), columns=['A'],
                   index=period_range('2013-01-01 9:00', periods=600, freq='T'))
   dfp
   dfp['2013-01-01 10H']

As the same as DatetimeIndex, the endpoints will be included in the result. Below example slices data starting from 10:00 to 11:59.

.. ipython:: python

   dfp['2013-01-01 10H':'2013-01-01 11H']

Frequency Conversion and Resampling with PeriodIndex

The frequency of Periods and PeriodIndex can be converted via the asfreq method. Let's start with the fiscal year 2011, ending in December:

.. ipython:: python

   p = Period('2011', freq='A-DEC')
   p

We can convert it to a monthly frequency. Using the how parameter, we can specify whether to return the starting or ending month:

.. ipython:: python

   p.asfreq('M', how='start')

   p.asfreq('M', how='end')

The shorthands 's' and 'e' are provided for convenience:

.. ipython:: python

   p.asfreq('M', 's')
   p.asfreq('M', 'e')

Converting to a "super-period" (e.g., annual frequency is a super-period of quarterly frequency) automatically returns the super-period that includes the input period:

.. ipython:: python

   p = Period('2011-12', freq='M')

   p.asfreq('A-NOV')

Note that since we converted to an annual frequency that ends the year in November, the monthly period of December 2011 is actually in the 2012 A-NOV period.

Period conversions with anchored frequencies are particularly useful for working with various quarterly data common to economics, business, and other fields. Many organizations define quarters relative to the month in which their fiscal year start and ends. Thus, first quarter of 2011 could start in 2010 or a few months into 2011. Via anchored frequencies, pandas works all quarterly frequencies Q-JAN through Q-DEC.

Q-DEC define regular calendar quarters:

.. ipython:: python

   p = Period('2012Q1', freq='Q-DEC')

   p.asfreq('D', 's')

   p.asfreq('D', 'e')

Q-MAR defines fiscal year end in March:

.. ipython:: python

   p = Period('2011Q4', freq='Q-MAR')

   p.asfreq('D', 's')

   p.asfreq('D', 'e')

Converting between Representations

Timestamped data can be converted to PeriodIndex-ed data using to_period and vice-versa using to_timestamp:

.. ipython:: python

   rng = date_range('1/1/2012', periods=5, freq='M')

   ts = Series(randn(len(rng)), index=rng)

   ts

   ps = ts.to_period()

   ps

   ps.to_timestamp()

Remember that 's' and 'e' can be used to return the timestamps at the start or end of the period:

.. ipython:: python

   ps.to_timestamp('D', how='s')

Converting between period and timestamp enables some convenient arithmetic functions to be used. In the following example, we convert a quarterly frequency with year ending in November to 9am of the end of the month following the quarter end:

.. ipython:: python

   prng = period_range('1990Q1', '2000Q4', freq='Q-NOV')

   ts = Series(randn(len(prng)), prng)

   ts.index = (prng.asfreq('M', 'e') + 1).asfreq('H', 's') + 9

   ts.head()

Representing out-of-bounds spans

If you have data that is outside of the Timestamp bounds, see :ref:`Timestamp limitations <gotchas.timestamp-limits>`, then you can use a PeriodIndex and/or Series of Periods to do computations.

.. ipython:: python

   span = period_range('1215-01-01', '1381-01-01', freq='D')
   span

To convert from a int64 based YYYYMMDD representation.

.. ipython:: python

   s = Series([20121231, 20141130, 99991231])
   s

   def conv(x):
       return Period(year = x // 10000, month = x//100 % 100, day = x%100, freq='D')

   s.apply(conv)
   s.apply(conv)[2]

These can easily be converted to a PeriodIndex

.. ipython:: python

   span = PeriodIndex(s.apply(conv))
   span

Time Zone Handling

Pandas provides rich support for working with timestamps in different time zones using pytz and dateutil libraries. dateutil support is new [in 0.14.1] and currently only supported for fixed offset and tzfile zones. The default library is pytz. Support for dateutil is provided for compatibility with other applications e.g. if you use dateutil in other python packages.

By default, pandas objects are time zone unaware:

.. ipython:: python

   rng = date_range('3/6/2012 00:00', periods=15, freq='D')
   rng.tz is None

To supply the time zone, you can use the tz keyword to date_range and other functions. Dateutil time zone strings are distinguished from pytz time zones by starting with dateutil/.

  • In pytz you can find a list of common (and less common) time zones using from pytz import common_timezones, all_timezones.
  • dateutil uses the OS timezones so there isn't a fixed list available. For common zones, the names are the same as pytz.
.. ipython:: python

   # pytz
   rng_pytz = date_range('3/6/2012 00:00', periods=10, freq='D',
                         tz='Europe/London')
   rng_pytz.tz

   # dateutil
   rng_dateutil = date_range('3/6/2012 00:00', periods=10, freq='D',
                             tz='dateutil/Europe/London')
   rng_dateutil.tz

   # dateutil - utc special case
   rng_utc = date_range('3/6/2012 00:00', periods=10, freq='D',
                        tz=dateutil.tz.tzutc())
   rng_utc.tz

Note that the UTC timezone is a special case in dateutil and should be constructed explicitly as an instance of dateutil.tz.tzutc. You can also construct other timezones explicitly first, which gives you more control over which time zone is used:

.. ipython:: python

   # pytz
   tz_pytz = pytz.timezone('Europe/London')
   rng_pytz = date_range('3/6/2012 00:00', periods=10, freq='D',
                         tz=tz_pytz)
   rng_pytz.tz == tz_pytz

   # dateutil
   tz_dateutil = dateutil.tz.gettz('Europe/London')
   rng_dateutil = date_range('3/6/2012 00:00', periods=10, freq='D',
                             tz=tz_dateutil)
   rng_dateutil.tz == tz_dateutil

Timestamps, like Python's datetime.datetime object can be either time zone naive or time zone aware. Naive time series and DatetimeIndex objects can be localized using tz_localize:

.. ipython:: python

   ts = Series(randn(len(rng)), rng)

   ts_utc = ts.tz_localize('UTC')
   ts_utc

Again, you can explicitly construct the timezone object first. You can use the tz_convert method to convert pandas objects to convert tz-aware data to another time zone:

.. ipython:: python

   ts_utc.tz_convert('US/Eastern')

Warning

Be wary of conversions between libraries. For some zones pytz and dateutil have different definitions of the zone. This is more of a problem for unusual timezones than for 'standard' zones like US/Eastern.

Warning

Be aware that a timezone definition across versions of timezone libraries may not be considered equal. This may cause problems when working with stored data that is localized using one version and operated on with a different version. See :ref:`here<io.hdf5-notes>` for how to handle such a situation.

Warning

It is incorrect to pass a timezone directly into the datetime.datetime constructor (e.g., datetime.datetime(2011, 1, 1, tz=timezone('US/Eastern')). Instead, the datetime needs to be localized using the the localize method on the timezone.

Under the hood, all timestamps are stored in UTC. Scalar values from a DatetimeIndex with a time zone will have their fields (day, hour, minute) localized to the time zone. However, timestamps with the same UTC value are still considered to be equal even if they are in different time zones:

.. ipython:: python

   rng_eastern = rng_utc.tz_convert('US/Eastern')
   rng_berlin = rng_utc.tz_convert('Europe/Berlin')

   rng_eastern[5]
   rng_berlin[5]
   rng_eastern[5] == rng_berlin[5]

Like Series, DataFrame, and DatetimeIndex, Timestamps can be converted to other time zones using tz_convert:

.. ipython:: python

   rng_eastern[5]
   rng_berlin[5]
   rng_eastern[5].tz_convert('Europe/Berlin')

Localization of Timestamps functions just like DatetimeIndex and TimeSeries:

.. ipython:: python

   rng[5]
   rng[5].tz_localize('Asia/Shanghai')


Operations between TimeSeries in different time zones will yield UTC TimeSeries, aligning the data on the UTC timestamps:

.. ipython:: python

   eastern = ts_utc.tz_convert('US/Eastern')
   berlin = ts_utc.tz_convert('Europe/Berlin')
   result = eastern + berlin
   result
   result.index

In some cases, localize cannot determine the DST and non-DST hours when there are duplicates. This often happens when reading files that simply duplicate the hours. The infer_dst argument in tz_localize will attempt to determine the right offset.

.. ipython:: python
   :okexcept:

   rng_hourly = DatetimeIndex(['11/06/2011 00:00', '11/06/2011 01:00',
                               '11/06/2011 01:00', '11/06/2011 02:00',
                               '11/06/2011 03:00'])
   rng_hourly.tz_localize('US/Eastern')
   rng_hourly_eastern = rng_hourly.tz_localize('US/Eastern', infer_dst=True)
   rng_hourly_eastern.values


To remove timezone from tz-aware DatetimeIndex, use tz_localize(None) or tz_convert(None). tz_localize(None) will remove timezone holding local time representations. tz_convert(None) will remove timezone after converting to UTC time.

.. ipython:: python

   didx = DatetimeIndex(start='2014-08-01 09:00', freq='H', periods=10, tz='US/Eastern')
   didx
   didx.tz_localize(None)
   didx.tz_convert(None)

   # tz_convert(None) is identical with tz_convert('UTC').tz_localize(None)
   didx.tz_convert('UCT').tz_localize(None)

Time Deltas

Timedeltas are differences in times, expressed in difference units, e.g. days,hours,minutes,seconds. They can be both positive and negative. :ref:`DateOffsets<timeseries.offsets>` that are absolute in nature (Day, Hour, Minute, Second, Milli, Micro, Nano) can be used as timedeltas.

.. ipython:: python

   from datetime import datetime, timedelta
   s = Series(date_range('2012-1-1', periods=3, freq='D'))
   td = Series([ timedelta(days=i) for i in range(3) ])
   df = DataFrame(dict(A = s, B = td))
   df
   df['C'] = df['A'] + df['B']
   df
   df.dtypes

   s - s.max()
   s - datetime(2011,1,1,3,5)
   s + timedelta(minutes=5)
   s + Minute(5)
   s + Minute(5) + Milli(5)

Getting scalar results from a timedelta64[ns] series

.. ipython:: python

   y = s - s[0]
   y

Series of timedeltas with NaT values are supported

.. ipython:: python

   y = s - s.shift()
   y

Elements can be set to NaT using np.nan analogously to datetimes

.. ipython:: python

   y[1] = np.nan
   y

Operands can also appear in a reversed order (a singular object operated with a Series)

.. ipython:: python

   s.max() - s
   datetime(2011,1,1,3,5) - s
   timedelta(minutes=5) + s

Some timedelta numeric like operations are supported.

.. ipython:: python

   td - timedelta(minutes=5, seconds=5, microseconds=5)

min, max and the corresponding idxmin, idxmax operations are supported on frames

.. ipython:: python

   A = s - Timestamp('20120101') - timedelta(minutes=5, seconds=5)
   B = s - Series(date_range('2012-1-2', periods=3, freq='D'))

   df = DataFrame(dict(A=A, B=B))
   df

   df.min()
   df.min(axis=1)

   df.idxmin()
   df.idxmax()

min, max operations are supported on series; these return a single element timedelta64[ns] Series (this avoids having to deal with numpy timedelta64 issues). idxmin, idxmax are supported as well.

.. ipython:: python

   df.min().max()
   df.min(axis=1).min()

   df.min().idxmax()
   df.min(axis=1).idxmin()

You can fillna on timedeltas. Integers will be interpreted as seconds. You can pass a timedelta to get a particular value.

.. ipython:: python

   y.fillna(0)
   y.fillna(10)
   y.fillna(timedelta(days=-1,seconds=5))

Time Deltas & Reductions

Warning

A numeric reduction operation for timedelta64[ns] can return a single-element Series of dtype timedelta64[ns].

You can do numeric reduction operations on timedeltas.

.. ipython:: python

   y2 = y.fillna(timedelta(days=-1,seconds=5))
   y2
   y2.mean()
   y2.quantile(.1)

Time Deltas & Conversions

.. versionadded:: 0.13

string/integer conversion

Using the top-level to_timedelta, you can convert a scalar or array from the standard timedelta format (produced by to_csv) into a timedelta type (np.timedelta64 in nanoseconds). It can also construct Series.

Warning

This requires numpy >= 1.7

.. ipython:: python

   to_timedelta('1 days 06:05:01.00003')
   to_timedelta('15.5us')
   to_timedelta(['1 days 06:05:01.00003','15.5us','nan'])
   to_timedelta(np.arange(5),unit='s')
   to_timedelta(np.arange(5),unit='d')

frequency conversion

Timedeltas can be converted to other 'frequencies' by dividing by another timedelta, or by astyping to a specific timedelta type. These operations yield float64 dtyped Series.

.. ipython:: python

   td = Series(date_range('20130101',periods=4))-Series(date_range('20121201',periods=4))
   td[2] += np.timedelta64(timedelta(minutes=5,seconds=3))
   td[3] = np.nan
   td

   # to days
   td / np.timedelta64(1,'D')
   td.astype('timedelta64[D]')

   # to seconds
   td / np.timedelta64(1,'s')
   td.astype('timedelta64[s]')

Dividing or multiplying a timedelta64[ns] Series by an integer or integer Series yields another timedelta64[ns] dtypes Series.

.. ipython:: python

   td * -1
   td * Series([1,2,3,4])