hydroeval.kge

hydroeval.kge(simulations, evaluation)

Original Kling-Gupta Efficiency (KGE) and its three components (r, α, β) as per Gupta et al., 2009.

Note, all four values KGE, r, α, β are returned, in this order.

Calculation Details

\[E_{\text{KGE}} = 1 - \sqrt{[r - 1]^2 + [\alpha - 1]^2 + [\beta - 1]^2}\]

\[r = \frac{\text{cov}(e, s)}{\sigma({e}) \cdot \sigma(s)}\]

\[\alpha = \frac{\sigma(s)}{\sigma(e)}\]

\[\beta = \frac{\mu(s)}{\mu(e)}\]

where e is the evaluation series, s is (one of) the simulations series, cov is the covariance, σ is the standard deviation, and μ is the arithmetic mean.