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En prévision de l'arrivée de la forge institutionnelle INRAE, nous vous invitons à créer vos nouveaux projets sur la forge MIA.

  • HydroTools_DemosAndProcessingHydroTools_DemosAndProcessing
  • Sample2gumbelSample2gumbel
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Update home authored 3 years ago by Poulard Christine's avatar Poulard Christine
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...@@ -6,13 +6,17 @@ Note : the icons do not appear on the toolbar for Linux users and the "menu" but ...@@ -6,13 +6,17 @@ Note : the icons do not appear on the toolbar for Linux users and the "menu" but
Poulard Christine et Leblois Etienne, Inrae, Unité de recherche Riverly Poulard Christine et Leblois Etienne, Inrae, Unité de recherche Riverly
![Screenshot_AvecDeuxCruesCentennalesPourDebuter](uploads/4e438432a8c6f15be2d0a9ea7cb5ac5f/Screenshot_AvecDeuxCruesCentennalesPourDebuter.png) <img src="uploads/4e438432a8c6f15be2d0a9ea7cb5ac5f/Screenshot_AvecDeuxCruesCentennalesPourDebuter.png"width = "360">
<i>Screenshot : a 10-year series of annual floods including 2 floods superior the the centennial flood</i>
## about Hydrology : ## about Hydrology :
This demo tool was initially designed for a first contact with frequential analysis in hydrology, Master level (french Engineering School). Let us consider the maximal flood discharge of each year, QY (max in a calendar year or, better, hydrological year), and let us assume this variable follows a known Gumbel distribution (the assumption is correct for return period under a given thresholk, largely ex...). This demo tool was initially designed for a first contact with frequential analysis in hydrology, Master level (french Engineering School). Let us consider the maximal flood discharge of each year, QY (max in a calendar year or, better, hydrological year), and let us assume this variable follows a known Gumbel distribution (the assumption is correct for return period under a given thresholk, largely ex...).
Initial figure : sample of 10 QY The sample corresponding to 10 years of observation is represented as a time-series and with plotting positions in another graph with respect to the return period, denoted T, where a Gumbel distribution fitted on the sample is compared to the "theoretical" Gumbel one. to estimate the "right" Gumbel distribution parameters. Of course, withe only a few years of obervation the QY(T) relationship estimated by fitting Gumbel parameters has no reason to be very good ; the Confidence Interval is very thick at first. **Initial figure** : sample of 10 QY The sample corresponding to 10 years of observation is represented as a time-series and with plotting positions in another graph with respect to the return period, denoted T, where a Gumbel distribution fitted on the sample is compared to the "theoretical" Gumbel one. to estimate the "right" Gumbel distribution parameters. Of course, withe only a few years of obervation the QY(T) relationship estimated by fitting Gumbel parameters has no reason to be very good ; the Confidence Interval is very thick at first.
**Let's draw attention to... ** : the specificity of this demo tool is that we KNOW A PRIORI the values of th flood quantiles _because we start from a pre-defined distribution we draw values from !_ Of course, in the real world we can know "the real quantiles", we can only estimate them from the observations we have...
### 🛠 tools added in the TOOLBAR ### 🛠 tools added in the TOOLBAR
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