Python Pandas时间处理完全指南:Timestamp、Period与DateOffset详解
本文深入解析Python Pandas库中的时间处理功能,涵盖Timestamp、TimeDeltas、Time spans及Date offsets四大核心类型。通过具体代码示例,详细演示如何创建DatetimeIndex、PeriodIndex,利用date_range生成时间序列,以及处理时区、频率转换和重新取样等高级操作,帮助开发者高效处理复杂的时间数据。
简介
在数据处理领域,时间数据是极为常见的类型。除了Numpy提供的datetime64和timedelta64两种基础数据类型外,Pandas还整合了其他Python库(如scikits.timeseries)的功能,提供了更强大的时间处理能力。
时间分类
Pandas中定义了四种主要的时间类型,分别适用于不同的场景:
- Date times:表示具体的日期和时间,支持时区信息,类似于标准库中的datetime.datetime。
- Time deltas:表示绝对的时间持续时间,类似于标准库中的datetime.timedelta。
- Time spans:由特定的时间点和关联的频率定义的时间跨度。
- Date offsets:基于日历规则计算的时间偏移量,类似于dateutil.relativedelta.relativedelta。
我们可以用一张表格来对比这四种类型:
| 类型 | 标量class | 数组class | pandas数据类型 | 主要创建方法 |
|---|---|---|---|---|
| Date times | Timestamp | DatetimeIndex | datetime64[ns] or datetime64[ns, tz] | to_datetime or date_range |
| Time deltas | Timedelta | TimedeltaIndex | timedelta64[ns] | to_timedelta or timedelta_range |
| Time spans | Period | PeriodIndex | period[freq] | Period or period_range |
| Date offsets | DateOffset | None | None | DateOffset |
下面通过一个实际的使用示例来展示这些类型的应用:
In [19]: pd.Series(range(3), index=pd.date_range("2000", freq="D", periods=3))
Out[19]:
2000-01-01 0
2000-01-02 1
2000-01-03 2
Freq: D, dtype: int64
接下来,我们查看上述数据类型中空值(NaT)的表现:
In [24]: pd.Timestamp(pd.NaT)
Out[24]: NaT
In [25]: pd.Timedelta(pd.NaT)
Out[25]: NaT
In [26]: pd.Period(pd.NaT)
Out[26]: NaT
# Equality acts as np.nan would
In [27]: pd.NaT == pd.NaT
Out[27]: False
Timestamp
Timestamp是Pandas中最基础的时间类型,可以通过多种方式创建:
In [28]: pd.Timestamp(datetime.datetime(2012, 5, 1))
Out[28]: Timestamp('2012-05-01 00:00:00')
In [29]: pd.Timestamp("2012-05-01")
Out[29]: Timestamp('2012-05-01 00:00:00')
In [30]: pd.Timestamp(2012, 5, 1)
Out[30]: Timestamp('2012-05-01 00:00:00')
DatetimeIndex
当Timestamp被用作索引时,它会自动转换为DatetimeIndex类型:
In [33]: dates = [
....: pd.Timestamp("2012-05-01"),
....: pd.Timestamp("2012-05-02"),
....: pd.Timestamp("2012-05-03"),
....: ]
....:
In [34]: ts = pd.Series(np.random.randn(3), dates)
In [35]: type(ts.index)
Out[35]: pandas.core.indexes.datetimes.DatetimeIndex
In [36]: ts.index
Out[36]: DatetimeIndex(['2012-05-01', '2012-05-02', '2012-05-03'], dtype='datetime64[ns]', freq=None)
In [37]: ts
Out[37]:
2012-05-01 0.469112
2012-05-02 -0.282863
2012-05-03 -1.509059
dtype: float64
date_range 和 bdate_range
我们还可以使用date_range函数来创建DatetimeIndex:
In [74]: start = datetime.datetime(2011, 1, 1)
In [75]: end = datetime.datetime(2012, 1, 1)
In [76]: index = pd.date_range(start, end)
In [77]: index
Out[77]:
DatetimeIndex(['2011-01-01', '2011-01-02', '2011-01-03', '2011-01-04',
'2011-01-05', '2011-01-06', '2011-01-07', '2011-01-08',
'2011-01-09', '2011-01-10',
...
'2011-12-23', '2011-12-24', '2011-12-25', '2011-12-26',
'2011-12-27', '2011-12-28', '2011-12-29', '2011-12-30',
'2011-12-31', '2012-01-01'],
dtype='datetime64[ns]', length=366, freq='D')
其中,date_range生成的是日历范围,而bdate_range生成的是工作日范围:
In [78]: index = pd.bdate_range(start, end)
In [79]: index
Out[79]:
DatetimeIndex(['2011-01-03', '2011-01-04', '2011-01-05', '2011-01-06',
'2011-01-07', '2011-01-10', '2011-01-11', '2011-01-12',
'2011-01-13', '2011-01-14',
...
'2011-12-19', '2011-12-20', '2011-12-21', '2011-12-22',
'2011-12-23', '2011-12-26', '2011-12-27', '2011-12-28',
'2011-12-29', '2011-12-30'],
dtype='datetime64[ns]', length=260, freq='B')
这两个方法都支持传入start、end和periods等参数,以灵活控制生成的时间序列。
In [84]: pd.bdate_range(end=end, periods=20)
In [83]: pd.date_range(start, end, freq="W")
In [86]: pd.date_range("2018-01-01", "2018-01-05", periods=5)
origin
通过设置origin参数,可以修改DatetimeIndex的起始时间:
In [67]: pd.to_datetime([1, 2, 3], unit="D", origin=pd.Timestamp("1960-01-01"))
Out[67]: DatetimeIndex(['1960-01-02', '1960-01-03', '1960-01-04'], dtype='datetime64[ns]', freq=None)
默认情况下,origin='unix',即起点为1970-01-01 00:00:00。
In [68]: pd.to_datetime([1, 2, 3], unit="D")
Out[68]: DatetimeIndex(['1970-01-02', '1970-01-03', '1970-01-04'], dtype='datetime64[ns]', freq=None)
格式化
使用format参数可以对时间字符串进行格式化解析:
In [51]: pd.to_datetime("2010/11/12", format="%Y/%m/%d")
Out[51]: Timestamp('2010-11-12 00:00:00')
In [52]: pd.to_datetime("12-11-2010 00:00", format="%d-%m-%Y %H:%M")
Out[52]: Timestamp('2010-11-12 00:00:00')
Period
Period表示一个时间跨度,通常与频率(freq)一起使用:
In [31]: pd.Period("2011-01")
Out[31]: Period('2011-01', 'M')
In [32]: pd.Period("2012-05", freq="D")
Out[32]: Period('2012-05-01', 'D')
Period对象可以直接进行算术运算:
In [345]: p = pd.Period("2012", freq="A-DEC")
In [346]: p + 1
Out[346]: Period('2013', 'A-DEC')
In [347]: p - 3
Out[347]: Period('2009', 'A-DEC')
In [348]: p = pd.Period("2012-01", freq="2M")
In [349]: p + 2
Out[349]: Period('2012-05', '2M')
In [350]: p - 1
Out[350]: Period('2011-11', '2M')
需要注意的是,只有具有相同freq的Period才能进行算术运算,包括与offsets和timedelta的计算。
In [352]: p = pd.Period("2014-07-01 09:00", freq="H")
In [353]: p + pd.offsets.Hour(2)
Out[353]: Period('2014-07-01 11:00', 'H')
In [354]: p + datetime.timedelta(minutes=120)
Out[354]: Period('2014-07-01 11:00', 'H')
In [355]: p + np.timedelta64(7200, "s")
Out[355]: Period('2014-07-01 11:00', 'H')
当Period作为索引时,它会自动被转换为PeriodIndex:
In [38]: periods = [pd.Period("2012-01"), pd.Period("2012-02"), pd.Period("2012-03")]
In [39]: ts = pd.Series(np.random.randn(3), periods)
In [40]: type(ts.index)
Out[40]: pandas.core.indexes.period.PeriodIndex
In [41]: ts.index
Out[41]: PeriodIndex(['2012-01', '2012-02', '2012-03'], dtype='period[M]', freq='M')
In [42]: ts
Out[42]:
2012-01 -1.135632
2012-02 1.212112
2012-03 -0.173215
Freq: M, dtype: float64
可以通过pd.period_range方法来创建PeriodIndex:
In [359]: prng = pd.period_range("1/1/2011", "1/1/2012", freq="M")
In [360]: prng
Out[360]:
PeriodIndex(['2011-01', '2011-02', '2011-03', '2011-04', '2011-05', '2011-06',
'2011-07', '2011-08', '2011-09', '2011-10', '2011-11', '2011-12',
'2012-01'],
dtype='period[M]', freq='M')
此外,还可以直接通过PeriodIndex构造函数来创建:
In [361]: pd.PeriodIndex(["2011-1", "2011-2", "2011-3"], freq="M")
Out[361]: PeriodIndex(['2011-01', '2011-02', '2011-03'], dtype='period[M]', freq='M')
DateOffset
DateOffset表示频率对象,它与Timedelta类似,都表示持续时间,但遵循特殊的日历规则。例如,Timedelta定义的一天固定为24小时,而DateOffset中的一天可能因夏令时而变为23或25小时。
# This particular day contains a day light savings time transition
In [144]: ts = pd.Timestamp("2016-10-30 00:00:00", tz="Europe/Helsinki")
# Respects absolute time
In [145]: ts + pd.Timedelta(days=1)
Out[145]: Timestamp('2016-10-30 23:00:00+0200', tz='Europe/Helsinki')
# Respects calendar time
In [146]: ts + pd.DateOffset(days=1)
Out[146]: Timestamp('2016-10-31 00:00:00+0200', tz='Europe/Helsinki')
In [147]: friday = pd.Timestamp("2018-01-05")
In [148]: friday.day_name()
Out[148]: 'Friday'
# Add 2 business days (Friday --> Tuesday)
In [149]: two_business_days = 2 * pd.offsets.BDay()
In [150]: two_business_days.apply(friday)
Out[150]: Timestamp('2018-01-09 00:00:00')
In [151]: friday + two_business_days
Out[151]: Timestamp('2018-01-09 00:00:00')
In [152]: (friday + two_business_days).day_name()
Out[152]: 'Tuesday'
DateOffsets与Frequency密切相关,以下是可用的Date Offset及其对应的Frequency字符串:
| Date Offset | Frequency String | 描述 |
|---|---|---|
| DateOffset | None | 通用的offset 类 |
| BDay or BusinessDay | 'B' | 工作日 |
| CDay or CustomBusinessDay | 'C' | 自定义的工作日 |
| Week | 'W' | 一周 |
| WeekOfMonth | 'WOM' | 每个月的第几周的第几天 |
| LastWeekOfMonth | 'LWOM' | 每个月最后一周的第几天 |
| MonthEnd | 'M' | 日历月末 |
| MonthBegin | 'MS' | 日历月初 |
| BMonthEnd or BusinessMonthEnd | 'BM' | 营业月底 |
| BMonthBegin or BusinessMonthBegin | 'BMS' | 营业月初 |
| CBMonthEnd or CustomBusinessMonthEnd | 'CBM' | 自定义营业月底 |
| CBMonthBegin or CustomBusinessMonthBegin | 'CBMS' | 自定义营业月初 |
| SemiMonthEnd | 'SM' | 日历月末的第15天 |
| SemiMonthBegin | 'SMS' | 日历月初的第15天 |
| QuarterEnd | 'Q' | 日历季末 |
| QuarterBegin | 'QS' | 日历季初 |
| BQuarterEnd | 'BQ | 工作季末 |
| BQuarterBegin | 'BQS' | 工作季初 |
| FY5253Quarter | 'REQ' | 零售季( 52-53 week) |
| YearEnd | 'A' | 日历年末 |
| YearBegin | 'AS' or 'BYS' | 日历年初 |
| BYearEnd | 'BA' | 营业年末 |
| BYearBegin | 'BAS' | 营业年初 |
| FY5253 | 'RE' | 零售年 (aka 52-53 week) |
| Easter | None | 复活节假期 |
| BusinessHour | 'BH' | business hour |
| CustomBusinessHour | 'CBH' | custom business hour |
| Day | 'D' | 一天的绝对时间 |
| Hour | 'H' | 一小时 |
| Minute | 'T' or 'min' | 一分钟 |
| Second | 'S' | 一秒钟 |
| Milli | 'L' or 'ms' | 一微妙 |
| Micro | 'U' or 'us' | 一毫秒 |
| Nano | 'N' | 一纳秒 |
DateOffset还提供了rollforward()和rollback()方法,用于将时间移动到下一个或上一个有效偏移日期:
In [153]: ts = pd.Timestamp("2018-01-06 00:00:00")
In [154]: ts.day_name()
Out[154]: 'Saturday'
# BusinessHour's valid offset dates are Monday through Friday
In [155]: offset = pd.offsets.BusinessHour(start="09:00")
# Bring the date to the closest offset date (Monday)
In [156]: offset.rollforward(ts)
Out[156]: Timestamp('2018-01-08 09:00:00')
# Date is brought to the closest offset date first and then the hour is added
In [157]: ts + offset
Out[157]: Timestamp('2018-01-08 10:00:00')
上述操作会自动保留小时、分钟等信息。如果希望将时间重置为00:00:00,可以调用normalize()方法:
In [158]: ts = pd.Timestamp("2014-01-01 09:00")
In [159]: day = pd.offsets.Day()
In [160]: day.apply(ts)
Out[160]: Timestamp('2014-01-02 09:00:00')
In [161]: day.apply(ts).normalize()
Out[161]: Timestamp('2014-01-02 00:00:00')
In [162]: ts = pd.Timestamp("2014-01-01 22:00")
In [163]: hour = pd.offsets.Hour()
In [164]: hour.apply(ts)
Out[164]: Timestamp('2014-01-01 23:00:00')
In [165]: hour.apply(ts).normalize()
Out[165]: Timestamp('2014-01-01 00:00:00')
In [166]: hour.apply(pd.Timestamp("2014-01-01 23:30")).normalize()
Out[166]: Timestamp('2014-01-02 00:00:00')
作为index
时间数据可以作为DataFrame或Series的索引,并且作为索引时会提供许多便捷的特性。
我们可以直接使用时间字符串来获取相应的数据:
In [99]: ts["1/31/2011"]
Out[99]: 0.11920871129693428
In [100]: ts[datetime.datetime(2011, 12, 25):]
Out[100]:
2011-12-30 0.56702
Freq: BM, dtype: float64
In [101]: ts["10/31/2011":"12/31/2011"]
Out[101]:
2011-10-31 0.271860
2011-11-30 -0.424972
2011-12-30 0.567020
Freq: BM, dtype: float64
例如,获取全年的数据:
In [102]: ts["2011"]
Out[102]:
2011-01-31 0.119209
2011-02-28 -1.044236
2011-03-31 -0.861849
2011-04-29 -2.104569
2011-05-31 -0.494929
2011-06-30 1.071804
2011-07-29 0.721555
2011-08-31 -0.706771
2011-09-30 -1.039575
2011-10-31 0.271860
2011-11-30 -0.424972
2011-12-30 0.567020
Freq: BM, dtype: float64
或者获取某个月的数据:
In [103]: ts["2011-6"]
Out[103]:
2011-06-30 1.071804
Freq: BM, dtype: float64
DataFrame的loc方法也接受时间字符串作为参数:
In [105]: dft
Out[105]:
A
2013-01-01 00:00:00 0.276232
2013-01-01 00:01:00 -1.087401
2013-01-01 00:02:00 -0.673690
2013-01-01 00:03:00 0.113648
2013-01-01 00:04:00 -1.478427
... ...
2013-03-11 10:35:00 -0.747967
2013-03-11 10:36:00 -0.034523
2013-03-11 10:37:00 -0.201754
2013-03-11 10:38:00 -1.509067
2013-03-11 10:39:00 -1.693043
[100000 rows x 1 columns]
In [106]: dft.loc["2013"]
Out[106]:
A
2013-01-01 00:00:00 0.276232
2013-01-01 00:01:00 -1.087401
2013-01-01 00:02:00 -0.673690
2013-01-01 00:03:00 0.113648
2013-01-01 00:04:00 -1.478427
... ...
2013-03-11 10:35:00 -0.747967
2013-03-11 10:36:00 -0.034523
2013-03-11 10:37:00 -0.201754
2013-03-11 10:38:00 -1.509067
2013-03-11 10:39:00 -1.693043
[100000 rows x 1 columns]
此外,还支持时间切片操作:
In [107]: dft["2013-1":"2013-2"]
Out[107]:
A
2013-01-01 00:00:00 0.276232
2013-01-01 00:01:00 -1.087401
2013-01-01 00:02:00 -0.673690
2013-01-01 00:03:00 0.113648
2013-01-01 00:04:00 -1.478427
... ...
2013-02-28 23:55:00 0.850929
2013-02-28 23:56:00 0.976712
2013-02-28 23:57:00 -2.693884
2013-02-28 23:58:00 -1.575535
2013-02-28 23:59:00 -1.573517
[84960 rows x 1 columns]
切片和完全匹配
考虑一个精度为分钟的Series对象:
In [120]: series_minute = pd.Series(
.....: [1, 2, 3],
.....: pd.DatetimeIndex(
.....: ["2011-12-31 23:59:00", "2012-01-01 00:00:00", "2012-01-01 00:02:00"]
.....: ),
.....: )
.....:
In [121]: series_minute.index.resolution
Out[121]: 'minute'
当查询的时间精度小于分钟时,返回的是一个Series对象:
In [122]: series_minute["2011-12-31 23"]
Out[122]:
2011-12-31 23:59:00 1
dtype: int64
当查询的时间精度大于分钟时,返回的是一个标量常量:
In [123]: series_minute["2011-12-31 23:59"]
Out[123]: 1
In [124]: series_minute["2011-12-31 23:59:00"]
Out[124]: 1
同理,如果精度为秒,查询精度小于秒会返回Series,等于秒则返回标量值。
时间序列的操作
Shifting
使用shift方法可以让时间序列进行相应的移动:
In [275]: ts = pd.Series(range(len(rng)), index=rng)
In [276]: ts = ts[:5]
In [277]: ts.shift(1)
Out[277]:
2012-01-01 NaN
2012-01-02 0.0
2012-01-03 1.0
Freq: D, dtype: float64
通过指定freq参数,可以控制shift的方式:
In [278]: ts.shift(5, freq="D")
Out[278]:
2012-01-06 0
2012-01-07 1
2012-01-08 2
Freq: D, dtype: int64
In [279]: ts.shift(5, freq=pd.offsets.BDay())
Out[279]:
2012-01-06 0
2012-01-09 1
2012-01-10 2
dtype: int64
In [280]: ts.shift(5, freq="BM")
Out[280]:
2012-05-31 0
2012-05-31 1
2012-05-31 2
dtype: int64
频率转换
时间序列可以通过调用asfreq方法转换其频率:
In [281]: dr = pd.date_range("1/1/2010", periods=3, freq=3 * pd.offsets.BDay())
In [282]: ts = pd.Series(np.random.randn(3), index=dr)
In [283]: ts
Out[283]:
2010-01-01 1.494522
2010-01-06 -0.778425
2010-01-11 -0.253355
Freq: 3B, dtype: float64
In [284]: ts.asfreq(pd.offsets.BDay())
Out[284]:
2010-01-01 1.494522
2010-01-04 NaN
2010-01-05 NaN
2010-01-06 -0.778425
2010-01-07 NaN
2010-01-08 NaN
2010-01-11 -0.253355
Freq: B, dtype: float64
asfreq还可以指定在频率转换后的填充方法:
In [285]: ts.asfreq(pd.offsets.BDay(), method="pad")
Out[285]:
2010-01-01 1.494522
2010-01-04 1.494522
2010-01-05 1.494522
2010-01-06 -0.778425
2010-01-07 -0.778425
2010-01-08 -0.778425
2010-01-11 -0.253355
Freq: B, dtype: float64
Resampling 重新取样
给定的时间序列可以通过调用resample方法进行重新取样:
In [286]: rng = pd.date_range("1/1/2012", periods=100, freq="S")
In [287]: ts = pd.Series(np.random.randint(0, 500, len(rng)), index=rng)
In [288]: ts.resample("5Min").sum()
Out[288]:
2012-01-01 25103
Freq: 5T, dtype: int64
resample可以接受多种统计方法,例如:sum、mean、std、sem、max、min、median、first、last、ohlc等。
In [289]: ts.resample("5Min").mean()
Out[289]:
2012-01-01 251.03
Freq: 5T, dtype: float64
In [290]: ts.resample("5Min").ohlc()
Out[290]:
open high low close
2012-01-01 308 460 9 205
In [291]: ts.resample("5Min").max()
Out[291]:
2012-01-01 460
Freq: 5T, dtype: int64
总结
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