hydromt.stats.skills.rsquared#

hydromt.stats.skills.rsquared(sim, obs, dim='time')[source]#

Return the coefficient of determination of two time series.

$$\begin{gathered} \begin{array}{r}{r}^2=(\\ frac \\ su{m}_{i=1}^n(e_i- \\ bare)(s_i- \\ bars) \\ sqrt \\ su{m}_{i=1}^n(e_i- \\ bare{)}^2 \\ sqrt \\ su{m}_{i=1}^n(s_i- \\ bars{)}^2{)}^2\end{array} \end{gathered}$$

Parameters:

• sim (xarray DataArray) – simulations time series

• obs (xarray DataArray) – observations time series

• dim (str, optional) – name of time dimension in sim and obs (the default is ‘time’)

Returns:

the coefficient of determination

Return type:

xarray DataArray