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.