Commit 10f794b5 authored by unknown's avatar unknown
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v1.0.6.12 doc updated for Latex versions of ErrorCrit_KGE and ErrorCrit_KGE2 functions #4538

parent 6c2cc4be
Package: airGR
Type: Package
Title: Suite of GR Hydrological Models for Precipitation-Runoff Modelling
Version: 1.0.6.11
Version: 1.0.6.12
Date: 2017-04-05
Authors@R: c(
person("Laurent", "Coron", role = c("aut", "trl")),
......
......@@ -39,9 +39,9 @@ Function which computes an error criterion based on the KGE formula proposed by
In addition to the criterion value, the function outputs include a multiplier (-1 or +1) which allows
the use of the function for model calibration: the product CritValue*Multiplier is the criterion to be minimised (Multiplier=-1 for KGE).\cr\cr
The KGE formula is
\deqn{KGE = 1 - \sqrt(r - 1)^2 + (\alpha - 1)^2 + (\beta - 1)^2}{KGE = 1 - sqrt((r - 1)² + (\alpha - 1)² + (\beta - 1)²)}
\deqn{KGE = 1 - \sqrt{(r - 1)^2 + (\alpha - 1)^2 + (\beta - 1)^2}}{KGE = 1 - sqrt((r - 1)² + (\alpha - 1)² + (\beta - 1)²)}
with the following sub-criteria:
\deqn{r = \mathrm{the\: linear\: correlation\: coefficient\: between\:} Q_{sim}\: \mathrm{and\:} Q_{obs}}{r = the linear correlation coefficient between Q[sim] and Q[obs]}
\deqn{r = \mathrm{the\: linear\: correlation\: coefficient\: between\:} sim\: \mathrm{and\:} obs}{r = the linear correlation coefficient between Q[sim] and Q[obs]}
\deqn{\alpha = \frac{\sigma_{sim}}{\sigma_{obs}}}{\alpha = \sigma[sim] / \sigma[obs]}
\deqn{\beta = \frac{\mu_{sim}}{\mu_{obs}}}{\beta = \mu[sim] / \mu[obs]}
}
......
......@@ -41,7 +41,7 @@ the use of the function for model calibration: the product CritValue*Multiplier
The KGE' formula is
\deqn{KGE' = 1 - \sqrt{(r - 1)^2 + (\gamma - 1)^2 + (\beta - 1)^2}}{KGE' = 1 - sqrt((r - 1)² + (\gamma - 1)² + (\beta - 1)²)}
with the following sub-criteria:
\deqn{r = \mathrm{the\: linear\ correlation\: coefficient\: between\:} Q_{sim}\: \mathrm{and\:} Q_{obs}}{r = is the linear correlation coefficient between Q[sim] and Q[obs]}
\deqn{r = \mathrm{the\: linear\ correlation\: coefficient\: between\:} sim\: \mathrm{and\:} obs}{r = is the linear correlation coefficient between Q[sim] and Q[obs]}
\deqn{\gamma = \frac{CV_{sim}}{CV_{obs}}}{\gamma = CV[sim] / CV[obs]}
\deqn{\beta = \frac{\mu_{sim}}{\mu_{obs}}}{\beta = \mu[sim] / \mu[obs]}
}
......
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