Nash–Sutcliffe model efficiency coefficient

The Nash-Sutcliffe model efficiency coefficient is widely used to assess the predictive power og hydrological models. It is defined as:

$E=1-{\frac {\sum _{t=1}^{T}\left(Q_{o}^{t}-Q_{m}^{t}\right)^{2}}{\sum _{t=1}^{T}\left(Q_{o}^{t}-{\overline {Q_{o}}}\right)^{2}}}$

where $Q_{o}$ is observed discharge, and $Q_{m}$ is modelled discharge. $Q^{t}$ is discharge as time $t$.

Source

Nash, J. E. and J. V. Sutcliffe (1970), River flow forecasting through conceptual models part I — A discussion of principles, Journal of Hydrology, 10 (3), 282–290.

External Links

[Nash and Sutcliffe (1970)]