hydromt.stats.skills.rsquared

hydromt.stats.skills.rsquared(sim, obs, dim='time')

Returns the coefficient of determination of two time series.

$$r^2=(\frac{\sum _{i=1}^n(e_i-\overline{e})(s_i-\overline{s})}{\sqrt{\sum _{i=1}^n(e_i-\overline{e}{)}^2}\sqrt{\sum _{i=1}^n(s_i-\overline{s}{)}^2}}{)}^2$$

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