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b/EnsSci/02_Biodiversite_et_evolution/2E_simulation_CMR.tex similarity index 90% rename from EnsSci/02_Biodiversite_et_evolution/1E.tex rename to EnsSci/02_Biodiversite_et_evolution/2E_simulation_CMR.tex index 9d566ff..24c206a 100644 --- a/EnsSci/02_Biodiversite_et_evolution/1E.tex +++ b/EnsSci/02_Biodiversite_et_evolution/2E_simulation_CMR.tex @@ -7,7 +7,7 @@ \DeclareExerciseCollection{banque} \xsimsetup{ - step=1, + step=2, } \begin{document} @@ -15,4 +15,4 @@ \input{exercises.tex} \printcollection{banque} -\end{document} \ No newline at end of file +\end{document} diff --git a/EnsSci/02_Biodiversite_et_evolution/exercises.tex b/EnsSci/02_Biodiversite_et_evolution/exercises.tex index 3afe870..c14b5d4 100644 --- a/EnsSci/02_Biodiversite_et_evolution/exercises.tex +++ b/EnsSci/02_Biodiversite_et_evolution/exercises.tex @@ -1,10 +1,22 @@ \collectexercises{banque} -\begin{exercise}[subtitle={<++>}, step={1}, origin={<++>}, topics={Biodiversité et évolution}, tags={Échantillonnage, Statistique}] - <++> +\begin{exercise}[subtitle={Simulation de la méthode CMR}, step={2}, origin={Création}, topics={Biodiversité et évolution}, tags={Échantillonnage, Statistique, Tableur}] + Dans cette activité, nous allons simuler avec le tableur la re-capture d'une population marquée pour voir la fluctuation de cette méthode de comptage. + + Pour cela, on va imaginer une population de 500 individus que l'on va chercher à estimer en faisant un marquage de 100 individus puis en re-capturant 50. + + \begin{enumerate} + \item Reproduire le tableur suivant en complétant les cases jaunes avec les données de l'énoncé. + \item On commence commence par simuler une seule re-capture. + \begin{enumerate} + \item Quelle est la probabilité d'un individus capturé soit marqué? On note dans la suite cette probabilité $p$. + \item Pour simuler le fait qu'un individu re-capturé soir marqué ou non, on utiliser la formule suivante: \calc{=Si(ALEA() < p; 1; 0)} où $p$ est à remplacer par la valeur trouvée à la questions précédente. Compléter votre tableau pour simuler 50 re-captures. + \item Calculer le nombre d'individus marqué puis estimer la population avec la méthode CMR. + \end{enumerate} + En appuyant sur la touche \texttt{F9}, la simulation (tous les \texttt{ALEA()}) sera rejouée. + \item Repoduire ce qui a été fait avant pour simuler 50 re-captures. + \item + \end{enumerate} \end{exercise} -\begin{solution} - <++> -\end{solution} -\collectexercisesstop{banque} \ No newline at end of file +\collectexercisesstop{banque} diff --git a/EnsSci/02_Biodiversite_et_evolution/index.rst b/EnsSci/02_Biodiversite_et_evolution/index.rst index 9095e5c..5d1d996 100644 --- a/EnsSci/02_Biodiversite_et_evolution/index.rst +++ b/EnsSci/02_Biodiversite_et_evolution/index.rst @@ -2,7 +2,7 @@ Biodiversité et évolution ######################### :date: 2020-08-27 -:modified: 2020-10-15 +:modified: 2020-10-30 :authors: Benjamin Bertrand :tags: Échantillonnage, Statistique :category: EnsSci @@ -22,6 +22,7 @@ Calculs de proportion avec la méthode de Capture-Marquage-Recapture. On récupère doc 2 p174 avec ajout de la formule. Refonte des docs pour plus de clarté. +Simulation de la varaition de la taille de la population trouvée avec cette méthode pour commencer à voir le comportement de l'intervalle de confiance. Étape 3: (MATH) Évaluer la taille des populations: échantillonnage ==================================================================