hydromt.stats.skills.rsquared

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

Returns the coefficient of determination of two time series.

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

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