Commit d09859b7 authored by unknown's avatar unknown
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v1.0.6.10 doc updated for Latex versions of ErrorCrit_KGE and ErrorCrit_KGE2 functions #4538

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Package: airGR Package: airGR
Type: Package Type: Package
Title: Suite of GR Hydrological Models for Precipitation-Runoff Modelling Title: Suite of GR Hydrological Models for Precipitation-Runoff Modelling
Version: 1.0.6.9 Version: 1.0.6.10
Date: 2017-04-05 Date: 2017-04-05
Authors@R: c( Authors@R: c(
person("Laurent", "Coron", role = c("aut", "trl")), person("Laurent", "Coron", role = c("aut", "trl")),
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...@@ -41,9 +41,9 @@ the use of the function for model calibration: the product CritValue*Multiplier ...@@ -41,9 +41,9 @@ the use of the function for model calibration: the product CritValue*Multiplier
The KGE formula is 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: with the following sub-criteria:
\deqn{r = the linear correlation coefficient between Q_s and Q_o}{r = the linear correlation coefficient between Q[s] and Q[o]} \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{\alpha = \frac{\sigma_s}{\sigma_o}}{\alpha = \sigma[s] / \sigma[o]} \deqn{\alpha = \frac{\sigma_{sim}}{\sigma_{obs}}}{\alpha = \sigma[sim] / \sigma[obs]}
\deqn{\beta = \frac{\mu_s}{\mu_o}}{\beta = \mu[s] / \mu[o]} \deqn{\beta = \frac{\mu_{sim}}{\mu_{obs}}}{\beta = \mu[sim] / \mu[obs]}
} }
\examples{ \examples{
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...@@ -41,9 +41,9 @@ the use of the function for model calibration: the product CritValue*Multiplier ...@@ -41,9 +41,9 @@ the use of the function for model calibration: the product CritValue*Multiplier
The KGE' formula is 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)} \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: with the following sub-criteria:
\deqn{r = the linear correlation coefficient between Q_s and Q_o}{r = is the linear correlation coefficient between Q[s] and Q[o]} \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{\alpha = \frac{CV_s}{CV_o}}{\alpha = CV[s] / CV[o]} \deqn{\gamma = \frac{CV_{sim}}{CV_{obs}}}{\gamma = CV[sim] / CV[obs]}
\deqn{\beta = \frac{\mu_s}{\mu_o}}{\beta = \mu[s] / \mu[o]} \deqn{\beta = \frac{\mu_{sim}}{\mu_{obs}}}{\beta = \mu[sim] / \mu[obs]}
} }
\examples{ \examples{
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