hydroeval.kgeprime

hydroeval.kgeprime(simulations, evaluation)

Modified Kling-Gupta Efficiency (KGE’) and its three components (r, γ, β) as per Kling et al., 2012.

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

Calculation Details

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

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

\[\gamma = \frac{\sigma(s) / \mu(s)}{\sigma(e) / \mu(e)}\]

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

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.