Missing time series values within a time series can be filled up with the following methods:
An example for the linear regression: Time series internal
A time series with wind speeds and wind directions at 31 height levels
from 50 m to 200 m above ground level, respectively, shall be filled up.
This is marked with "original" in the following.
As the reference time series the time series itself is used.
So, each of the height levels is filled up with regressions with
the respective other 30 height levels.
For the fill-up the following options have been chosen:
The linear regression for wind directions is performed by WindDataSuite with
a multiple multivariate linear regression.
The resulting filled up data are marked with "filled" in the following.
Fig.1 shows an excerpt of the time series for the wind speeds
of the original data and of the resulting filled up data at the height of
140 m, respectively.
Fig.2 shows the same excerpt of the time series for the wind directions
of the original data and of the resulting filled up data at the height of
140 m, respectively.
An example for the linear regression: With reference data
A time series with wind speeds and wind directions at the height
of 120 m above ground level, respectively, shall be filled up.
This is marked with "original" in the following.
As the reference time series the reanalysis data of the nearest located
Merra-2 grid point is used. These are marked with "Ref" in the following.
They contain wind speeds and wind directions at the heights
of 10 m and 50 m above ground level.
For the fill-up the following options have been chosen:
The reference data at 10 m height above ground level have yielded
the best correlation.
The linear regression for wind directions is performed by WindDataSuite with
a multiple multivariate linear regression.
The resulting filled up data are marked with "filled" in the following.
Fig.3 shows an excerpt of the time series for the wind speeds
of the original data, of the reference data, and of the resulting filled up data.
Fig.4 shows the same excerpt of the time series for the wind directions
of the original data, of the reference data, and of the resulting filled up data.