How to compute average value for each year and month combinations using numpy?-CodePudding

I have 2 numpy arrays, namely, times and values. (see below for reproducible data).

times contains dates (yyyy-mm-dd)
values contains values for each corresponding date

Now, I want to compute average value for each month and year combinations. For example, if there are 5 years of daily data I want to have a 5*12=60 values (e.g. something like 'group by year and month').

What is the best way to achieve this using numpy?

Reproducible data:

times

# import the numpy library
import numpy as np

times = np.array(['2004-01-01T00:00:00.000000000', '2004-01-02T00:00:00.000000000',
       '2004-01-03T00:00:00.000000000', '2004-01-04T00:00:00.000000000',
       '2004-01-05T00:00:00.000000000', '2004-01-06T00:00:00.000000000',
       '2004-01-07T00:00:00.000000000', '2004-01-08T00:00:00.000000000',
       '2004-01-09T00:00:00.000000000', '2004-01-10T00:00:00.000000000',
       '2004-01-11T00:00:00.000000000', '2004-01-12T00:00:00.000000000',
       '2004-01-13T00:00:00.000000000', '2004-01-14T00:00:00.000000000',
       '2004-01-15T00:00:00.000000000', '2004-01-16T00:00:00.000000000',
       '2004-01-17T00:00:00.000000000', '2004-01-18T00:00:00.000000000',
       '2004-01-19T00:00:00.000000000', '2004-01-20T00:00:00.000000000',
       '2004-01-21T00:00:00.000000000', '2004-01-22T00:00:00.000000000',
       '2004-01-23T00:00:00.000000000', '2004-01-24T00:00:00.000000000',
       '2004-01-25T00:00:00.000000000', '2004-01-26T00:00:00.000000000',
       '2004-01-27T00:00:00.000000000', '2004-01-28T00:00:00.000000000',
       '2004-01-29T00:00:00.000000000', '2004-01-30T00:00:00.000000000',
       '2004-01-31T00:00:00.000000000', '2004-02-01T00:00:00.000000000',
       '2004-02-02T00:00:00.000000000', '2004-02-03T00:00:00.000000000',
       '2004-02-04T00:00:00.000000000', '2004-02-05T00:00:00.000000000',
       '2004-02-06T00:00:00.000000000', '2004-02-07T00:00:00.000000000',
       '2004-02-08T00:00:00.000000000', '2004-02-09T00:00:00.000000000',
       '2004-02-10T00:00:00.000000000', '2004-02-11T00:00:00.000000000',
       '2004-02-12T00:00:00.000000000', '2004-02-13T00:00:00.000000000',
       '2004-02-14T00:00:00.000000000', '2004-02-15T00:00:00.000000000',
       '2004-02-16T00:00:00.000000000', '2004-02-17T00:00:00.000000000',
       '2004-02-18T00:00:00.000000000', '2004-02-19T00:00:00.000000000',
       '2004-02-20T00:00:00.000000000', '2004-02-21T00:00:00.000000000',
       '2004-02-22T00:00:00.000000000', '2004-02-23T00:00:00.000000000',
       '2004-02-24T00:00:00.000000000', '2004-02-25T00:00:00.000000000',
       '2004-02-26T00:00:00.000000000', '2004-02-27T00:00:00.000000000',
       '2004-02-28T00:00:00.000000000', '2004-02-29T00:00:00.000000000',
       '2004-03-01T00:00:00.000000000', '2004-03-02T00:00:00.000000000',
       '2004-03-03T00:00:00.000000000', '2004-03-04T00:00:00.000000000',
       '2004-03-05T00:00:00.000000000', '2004-03-06T00:00:00.000000000',
       '2004-03-07T00:00:00.000000000', '2004-03-08T00:00:00.000000000',
       '2004-03-09T00:00:00.000000000', '2004-03-10T00:00:00.000000000',
       '2004-03-11T00:00:00.000000000', '2004-03-12T00:00:00.000000000',
       '2004-03-13T00:00:00.000000000', '2004-03-14T00:00:00.000000000',
       '2004-03-15T00:00:00.000000000', '2004-03-16T00:00:00.000000000',
       '2004-03-17T00:00:00.000000000', '2004-03-18T00:00:00.000000000',
       '2004-03-19T00:00:00.000000000', '2004-03-20T00:00:00.000000000',
       '2004-03-21T00:00:00.000000000', '2004-03-22T00:00:00.000000000',
       '2004-03-23T00:00:00.000000000', '2004-03-24T00:00:00.000000000',
       '2004-03-25T00:00:00.000000000', '2004-03-26T00:00:00.000000000',
       '2004-03-27T00:00:00.000000000', '2004-03-28T00:00:00.000000000',
       '2004-03-29T00:00:00.000000000', '2004-03-30T00:00:00.000000000',
       '2004-03-31T00:00:00.000000000', '2004-04-01T00:00:00.000000000',
       '2004-04-02T00:00:00.000000000', '2004-04-03T00:00:00.000000000',
       '2004-04-04T00:00:00.000000000', '2004-04-05T00:00:00.000000000',
       '2004-04-06T00:00:00.000000000', '2004-04-07T00:00:00.000000000',
       '2004-04-08T00:00:00.000000000', '2004-04-09T00:00:00.000000000',
       '2004-04-10T00:00:00.000000000', '2004-04-11T00:00:00.000000000',
       '2004-04-12T00:00:00.000000000', '2004-04-13T00:00:00.000000000',
       '2004-04-14T00:00:00.000000000', '2004-04-15T00:00:00.000000000',
       '2004-04-16T00:00:00.000000000', '2004-04-17T00:00:00.000000000',
       '2004-04-18T00:00:00.000000000', '2004-04-19T00:00:00.000000000',
       '2004-04-20T00:00:00.000000000', '2004-04-21T00:00:00.000000000',
       '2004-04-22T00:00:00.000000000', '2004-04-23T00:00:00.000000000',
       '2004-04-24T00:00:00.000000000', '2004-04-25T00:00:00.000000000',
       '2004-04-26T00:00:00.000000000', '2004-04-27T00:00:00.000000000',
       '2004-04-28T00:00:00.000000000', '2004-04-29T00:00:00.000000000',
       '2004-04-30T00:00:00.000000000', '2004-05-01T00:00:00.000000000',
       '2004-05-02T00:00:00.000000000', '2004-05-03T00:00:00.000000000',
       '2004-05-04T00:00:00.000000000', '2004-05-05T00:00:00.000000000',
       '2004-05-06T00:00:00.000000000', '2004-05-07T00:00:00.000000000',
       '2004-05-08T00:00:00.000000000', '2004-05-09T00:00:00.000000000',
       '2004-05-10T00:00:00.000000000', '2004-05-11T00:00:00.000000000',
       '2004-05-12T00:00:00.000000000', '2004-05-13T00:00:00.000000000',
       '2004-05-14T00:00:00.000000000', '2004-05-15T00:00:00.000000000',
       '2004-05-16T00:00:00.000000000', '2004-05-17T00:00:00.000000000',
       '2004-05-18T00:00:00.000000000', '2004-05-19T00:00:00.000000000',
       '2004-05-20T00:00:00.000000000', '2004-05-21T00:00:00.000000000',
       '2004-05-22T00:00:00.000000000', '2004-05-23T00:00:00.000000000',
       '2004-05-24T00:00:00.000000000', '2004-05-25T00:00:00.000000000',
       '2004-05-26T00:00:00.000000000', '2004-05-27T00:00:00.000000000',
       '2004-05-28T00:00:00.000000000', '2004-05-29T00:00:00.000000000',
       '2004-05-30T00:00:00.000000000', '2004-05-31T00:00:00.000000000',
       '2004-06-01T00:00:00.000000000', '2004-06-02T00:00:00.000000000',
       '2004-06-03T00:00:00.000000000', '2004-06-04T00:00:00.000000000',
       '2004-06-05T00:00:00.000000000', '2004-06-06T00:00:00.000000000',
       '2004-06-07T00:00:00.000000000', '2004-06-08T00:00:00.000000000',
       '2004-06-09T00:00:00.000000000', '2004-06-10T00:00:00.000000000',
       '2004-06-11T00:00:00.000000000', '2004-06-12T00:00:00.000000000',
       '2004-06-13T00:00:00.000000000', '2004-06-14T00:00:00.000000000',
       '2004-06-15T00:00:00.000000000', '2004-06-16T00:00:00.000000000',
       '2004-06-17T00:00:00.000000000', '2004-06-18T00:00:00.000000000',
       '2004-06-19T00:00:00.000000000', '2004-06-20T00:00:00.000000000',
       '2004-06-21T00:00:00.000000000', '2004-06-22T00:00:00.000000000',
       '2004-06-23T00:00:00.000000000', '2004-06-24T00:00:00.000000000',
       '2004-06-25T00:00:00.000000000', '2004-06-26T00:00:00.000000000',
       '2004-06-27T00:00:00.000000000', '2004-06-28T00:00:00.000000000',
       '2004-06-29T00:00:00.000000000', '2004-06-30T00:00:00.000000000',
       '2004-07-01T00:00:00.000000000', '2004-07-02T00:00:00.000000000',
       '2004-07-03T00:00:00.000000000', '2004-07-04T00:00:00.000000000',
       '2004-07-05T00:00:00.000000000', '2004-07-06T00:00:00.000000000',
       '2004-07-07T00:00:00.000000000', '2004-07-08T00:00:00.000000000',
       '2004-07-09T00:00:00.000000000', '2004-07-10T00:00:00.000000000',
       '2004-07-11T00:00:00.000000000', '2004-07-12T00:00:00.000000000',
       '2004-07-13T00:00:00.000000000', '2004-07-14T00:00:00.000000000',
       '2004-07-15T00:00:00.000000000', '2004-07-16T00:00:00.000000000',
       '2004-07-17T00:00:00.000000000', '2004-07-18T00:00:00.000000000',
       '2004-07-19T00:00:00.000000000', '2004-07-20T00:00:00.000000000',
       '2004-07-21T00:00:00.000000000', '2004-07-22T00:00:00.000000000',
       '2004-07-23T00:00:00.000000000', '2004-07-24T00:00:00.000000000',
       '2004-07-25T00:00:00.000000000', '2004-07-26T00:00:00.000000000',
       '2004-07-27T00:00:00.000000000', '2004-07-28T00:00:00.000000000',
       '2004-07-29T00:00:00.000000000', '2004-07-30T00:00:00.000000000',
       '2004-07-31T00:00:00.000000000', '2004-08-01T00:00:00.000000000',
       '2004-08-02T00:00:00.000000000', '2004-08-03T00:00:00.000000000',
       '2004-08-04T00:00:00.000000000', '2004-08-05T00:00:00.000000000',
       '2004-08-06T00:00:00.000000000', '2004-08-07T00:00:00.000000000',
       '2004-08-08T00:00:00.000000000', '2004-08-09T00:00:00.000000000',
       '2004-08-10T00:00:00.000000000', '2004-08-11T00:00:00.000000000',
       '2004-08-12T00:00:00.000000000', '2004-08-13T00:00:00.000000000',
       '2004-08-14T00:00:00.000000000', '2004-08-15T00:00:00.000000000',
       '2004-08-16T00:00:00.000000000', '2004-08-17T00:00:00.000000000',
       '2004-08-18T00:00:00.000000000', '2004-08-19T00:00:00.000000000',
       '2004-08-20T00:00:00.000000000', '2004-08-21T00:00:00.000000000',
       '2004-08-22T00:00:00.000000000', '2004-08-23T00:00:00.000000000',
       '2004-08-24T00:00:00.000000000', '2004-08-25T00:00:00.000000000',
       '2004-08-26T00:00:00.000000000', '2004-08-27T00:00:00.000000000',
       '2004-08-28T00:00:00.000000000', '2004-08-29T00:00:00.000000000',
       '2004-08-30T00:00:00.000000000', '2004-08-31T00:00:00.000000000',
       '2004-09-01T00:00:00.000000000', '2004-09-02T00:00:00.000000000',
       '2004-09-03T00:00:00.000000000', '2004-09-04T00:00:00.000000000',
       '2004-09-05T00:00:00.000000000', '2004-09-06T00:00:00.000000000',
       '2004-09-07T00:00:00.000000000', '2004-09-08T00:00:00.000000000',
       '2004-09-09T00:00:00.000000000', '2004-09-10T00:00:00.000000000',
       '2004-09-11T00:00:00.000000000', '2004-09-12T00:00:00.000000000',
       '2004-09-13T00:00:00.000000000', '2004-09-14T00:00:00.000000000',
       '2004-09-15T00:00:00.000000000', '2004-09-16T00:00:00.000000000',
       '2004-09-17T00:00:00.000000000', '2004-09-18T00:00:00.000000000',
       '2004-09-19T00:00:00.000000000', '2004-09-20T00:00:00.000000000',
       '2004-09-21T00:00:00.000000000', '2004-09-22T00:00:00.000000000',
       '2004-09-23T00:00:00.000000000', '2004-09-24T00:00:00.000000000',
       '2004-09-25T00:00:00.000000000', '2004-09-26T00:00:00.000000000',
       '2004-09-27T00:00:00.000000000', '2004-09-28T00:00:00.000000000',
       '2004-09-29T00:00:00.000000000', '2004-09-30T00:00:00.000000000',
       '2004-10-01T00:00:00.000000000', '2004-10-02T00:00:00.000000000',
       '2004-10-03T00:00:00.000000000', '2004-10-04T00:00:00.000000000',
       '2004-10-05T00:00:00.000000000', '2004-10-06T00:00:00.000000000',
       '2004-10-07T00:00:00.000000000', '2004-10-08T00:00:00.000000000',
       '2004-10-09T00:00:00.000000000', '2004-10-10T00:00:00.000000000',
       '2004-10-11T00:00:00.000000000', '2004-10-12T00:00:00.000000000',
       '2004-10-13T00:00:00.000000000', '2004-10-14T00:00:00.000000000',
       '2004-10-15T00:00:00.000000000', '2004-10-16T00:00:00.000000000',
       '2004-10-17T00:00:00.000000000', '2004-10-18T00:00:00.000000000',
       '2004-10-19T00:00:00.000000000', '2004-10-20T00:00:00.000000000',
       '2004-10-21T00:00:00.000000000', '2004-10-22T00:00:00.000000000',
       '2004-10-23T00:00:00.000000000', '2004-10-24T00:00:00.000000000',
       '2004-10-25T00:00:00.000000000', '2004-10-26T00:00:00.000000000',
       '2004-10-27T00:00:00.000000000', '2004-10-28T00:00:00.000000000',
       '2004-10-29T00:00:00.000000000', '2004-10-30T00:00:00.000000000',
       '2004-10-31T00:00:00.000000000', '2004-11-01T00:00:00.000000000',
       '2004-11-02T00:00:00.000000000', '2004-11-03T00:00:00.000000000',
       '2004-11-04T00:00:00.000000000', '2004-11-05T00:00:00.000000000',
       '2004-11-06T00:00:00.000000000', '2004-11-07T00:00:00.000000000',
       '2004-11-08T00:00:00.000000000', '2004-11-09T00:00:00.000000000',
       '2004-11-10T00:00:00.000000000', '2004-11-11T00:00:00.000000000',
       '2004-11-12T00:00:00.000000000', '2004-11-13T00:00:00.000000000',
       '2004-11-14T00:00:00.000000000', '2004-11-15T00:00:00.000000000',
       '2004-11-16T00:00:00.000000000', '2004-11-17T00:00:00.000000000',
       '2004-11-18T00:00:00.000000000', '2004-11-19T00:00:00.000000000',
       '2004-11-20T00:00:00.000000000', '2004-11-21T00:00:00.000000000',
       '2004-11-22T00:00:00.000000000', '2004-11-23T00:00:00.000000000',
       '2004-11-24T00:00:00.000000000', '2004-11-25T00:00:00.000000000',
       '2004-11-26T00:00:00.000000000', '2004-11-27T00:00:00.000000000',
       '2004-11-28T00:00:00.000000000', '2004-11-29T00:00:00.000000000',
       '2004-11-30T00:00:00.000000000', '2004-12-01T00:00:00.000000000',
       '2004-12-02T00:00:00.000000000', '2004-12-03T00:00:00.000000000',
       '2004-12-04T00:00:00.000000000', '2004-12-05T00:00:00.000000000',
       '2004-12-06T00:00:00.000000000', '2004-12-07T00:00:00.000000000',
       '2004-12-08T00:00:00.000000000', '2004-12-09T00:00:00.000000000',
       '2004-12-10T00:00:00.000000000', '2004-12-11T00:00:00.000000000',
       '2004-12-12T00:00:00.000000000', '2004-12-13T00:00:00.000000000',
       '2004-12-14T00:00:00.000000000', '2004-12-15T00:00:00.000000000',
       '2004-12-16T00:00:00.000000000', '2004-12-17T00:00:00.000000000',
       '2004-12-18T00:00:00.000000000', '2004-12-19T00:00:00.000000000',
       '2004-12-20T00:00:00.000000000', '2004-12-21T00:00:00.000000000',
       '2004-12-22T00:00:00.000000000', '2004-12-23T00:00:00.000000000',
       '2004-12-24T00:00:00.000000000', '2004-12-25T00:00:00.000000000',
       '2004-12-26T00:00:00.000000000', '2004-12-27T00:00:00.000000000',
       '2004-12-28T00:00:00.000000000', '2004-12-29T00:00:00.000000000',
       '2004-12-30T00:00:00.000000000', '2004-12-31T00:00:00.000000000',
       '2005-01-01T00:00:00.000000000', '2005-01-02T00:00:00.000000000',
       '2005-01-03T00:00:00.000000000', '2005-01-04T00:00:00.000000000',
       '2005-01-05T00:00:00.000000000', '2005-01-06T00:00:00.000000000',
       '2005-01-07T00:00:00.000000000', '2005-01-08T00:00:00.000000000',
       '2005-01-09T00:00:00.000000000', '2005-01-10T00:00:00.000000000',
       '2005-01-11T00:00:00.000000000', '2005-01-12T00:00:00.000000000',
       '2005-01-13T00:00:00.000000000', '2005-01-14T00:00:00.000000000',
       '2005-01-15T00:00:00.000000000', '2005-01-16T00:00:00.000000000',
       '2005-01-17T00:00:00.000000000', '2005-01-18T00:00:00.000000000',
       '2005-01-19T00:00:00.000000000', '2005-01-20T00:00:00.000000000',
       '2005-01-21T00:00:00.000000000', '2005-01-22T00:00:00.000000000',
       '2005-01-23T00:00:00.000000000', '2005-01-24T00:00:00.000000000',
       '2005-01-25T00:00:00.000000000', '2005-01-26T00:00:00.000000000',
       '2005-01-27T00:00:00.000000000', '2005-01-28T00:00:00.000000000',
       '2005-01-29T00:00:00.000000000', '2005-01-30T00:00:00.000000000',
       '2005-01-31T00:00:00.000000000', '2005-02-01T00:00:00.000000000',
       '2005-02-02T00:00:00.000000000', '2005-02-03T00:00:00.000000000',
       '2005-02-04T00:00:00.000000000', '2005-02-05T00:00:00.000000000',
       '2005-02-06T00:00:00.000000000', '2005-02-07T00:00:00.000000000',
       '2005-02-08T00:00:00.000000000', '2005-02-09T00:00:00.000000000',
       '2005-02-10T00:00:00.000000000', '2005-02-11T00:00:00.000000000',
       '2005-02-12T00:00:00.000000000', '2005-02-13T00:00:00.000000000',
       '2005-02-14T00:00:00.000000000', '2005-02-15T00:00:00.000000000',
       '2005-02-16T00:00:00.000000000', '2005-02-17T00:00:00.000000000',
       '2005-02-18T00:00:00.000000000', '2005-02-19T00:00:00.000000000',
       '2005-02-20T00:00:00.000000000', '2005-02-21T00:00:00.000000000',
       '2005-02-22T00:00:00.000000000', '2005-02-23T00:00:00.000000000',
       '2005-02-24T00:00:00.000000000', '2005-02-25T00:00:00.000000000',
       '2005-02-26T00:00:00.000000000', '2005-02-27T00:00:00.000000000',
       '2005-02-28T00:00:00.000000000', '2005-03-01T00:00:00.000000000',
       '2005-03-02T00:00:00.000000000', '2005-03-03T00:00:00.000000000',
       '2005-03-04T00:00:00.000000000', '2005-03-05T00:00:00.000000000',
       '2005-03-06T00:00:00.000000000', '2005-03-07T00:00:00.000000000',
       '2005-03-08T00:00:00.000000000', '2005-03-09T00:00:00.000000000',
       '2005-03-10T00:00:00.000000000', '2005-03-11T00:00:00.000000000',
       '2005-03-12T00:00:00.000000000', '2005-03-13T00:00:00.000000000',
       '2005-03-14T00:00:00.000000000', '2005-03-15T00:00:00.000000000',
       '2005-03-16T00:00:00.000000000', '2005-03-17T00:00:00.000000000',
       '2005-03-18T00:00:00.000000000', '2005-03-19T00:00:00.000000000',
       '2005-03-20T00:00:00.000000000', '2005-03-21T00:00:00.000000000',
       '2005-03-22T00:00:00.000000000', '2005-03-23T00:00:00.000000000',
       '2005-03-24T00:00:00.000000000', '2005-03-25T00:00:00.000000000',
       '2005-03-26T00:00:00.000000000', '2005-03-27T00:00:00.000000000',
       '2005-03-28T00:00:00.000000000', '2005-03-29T00:00:00.000000000',
       '2005-03-30T00:00:00.000000000'], dtype='datetime64[ns]')

values

values = np.array([7.70072076e 00, 1.15550154e 01, 2.52179418e 01, 1.55478327e 01,
       2.59781549e 01, 2.34152693e 01, 1.79109624e 01, 1.19977931e 01,
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       1.12589495e 01, 1.70272436e 01, 8.52431208e 00, 6.99124111e 00,
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       2.36791818e 01, 2.75009903e 01, 5.09154447e 00, 5.32452541e 00,
       1.74513700e 01, 1.83963763e 01, 3.12658501e 01, 3.99468412e 01,
       2.12089935e 01, 1.39061695e 01, 1.91288989e 01, 1.30272091e 01,
       1.36074910e 01, 3.69017354e 01, 2.93510937e 01, 2.40498501e 01,
       1.24911778e 00, 2.58514096e 01, 1.39207610e 01, 3.66927101e 01,
       4.65986156e 00, 2.41432470e 01, 1.87374470e 01])

CodePudding user response：

A quick approach could be the following:

months = times.astype('datetime64[M]').astype(int) % 12   1
print([(month, values[months==month].mean()) for month in set(months)])

years = times.astype('datetime64[Y]').astype(int)   19707
print([(year, values[years==year].mean()) for year in set(years)])

FOLLOW UP

Following up on your comment:

yearmonths=years*100   months

print([(ym, values[yearmonths==ym].mean()) for ym in set(yearmonths)])