From f507cf6a0c6e003928b461b31f14201ce0d16fab Mon Sep 17 00:00:00 2001
From: Louis Lacoste <louis.lacoste@hotmail.fr>
Date: Fri, 16 Aug 2024 18:03:18 +0200
Subject: [PATCH] =?UTF-8?q?baldock=20:=20ajout=20fig,=20interp=20=C3=A0=20?=
 =?UTF-8?q?faire?=
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---
 rapport/chapter5-applications/baldock.tex | 77 ++++++++++++++++++++---
 1 file changed, 67 insertions(+), 10 deletions(-)

diff --git a/rapport/chapter5-applications/baldock.tex b/rapport/chapter5-applications/baldock.tex
index 636d78f..a86c269 100644
--- a/rapport/chapter5-applications/baldock.tex
+++ b/rapport/chapter5-applications/baldock.tex
@@ -3,31 +3,44 @@
 
 \cite{baldockSystemsApproachReveals2019a} study the diversity, robustness and
 impact of the type of environment on the ecological aspect of plant-pollinator
-networks in four major english cities.
+networks in four major english cities. The networks are presented in
+figures~\ref{subfig:baldock-english-network-bristol} to~\ref{subfig:baldock-english-network-reading}
 
-\cite{baldockDailyTemporalStructure2011}
+\cite{baldockDailyTemporalStructure2011} aim to study the daily temporal
+structure in a savanna pollination network. The data was collected in 2004
+and in two sites, \emph{Turkana Boma} (TB) and \emph{Junction} (JN) in Kenya.
+We will not look for a temporal structure but only use the full networks merged
+in one
+due to their small sizes. The network obtained is presented in
+figure~\ref{fig:baldock-african-networks}.
 
+\emph{Note:} those networks were extracted from a bigger dataset
+from~\cite{doreRelativeEffectsAnthropogenic2021}. The full dataset was also
+clusterized but issues arose that are discussed in
+sub-section~\ref{ssec:difficulties-encountered}.
 
 \begin{figure}[ht]
   \centering
   \begin{subfigure}[htb]{0.47\textwidth}
-    \includestandalone{tikz/applications/baldock/graph-Baldock2019_Bristol}
+    \includestandalone[width=0.86\textwidth]{tikz/applications/baldock/graph-Baldock2019_Bristol}
     \caption{Bristol}
+    \label{subfig:baldock-english-network-bristol}
   \end{subfigure}
   \hfill
   \begin{subfigure}[htb]{0.47\textwidth}
-    \includestandalone{tikz/applications/baldock/graph-Baldock2019_Edinburgh}
+    \includestandalone[width=0.86\textwidth]{tikz/applications/baldock/graph-Baldock2019_Edinburgh}
     \caption{Edinburgh}
   \end{subfigure}
   \newline
   \begin{subfigure}[htb]{0.47\textwidth}
-    \includestandalone{tikz/applications/baldock/graph-Baldock2019_Leeds}
+    \includestandalone[width=0.86\textwidth]{tikz/applications/baldock/graph-Baldock2019_Leeds}
     \caption{Leeds}
   \end{subfigure}
   \hfill
   \begin{subfigure}[htb]{0.47\textwidth}
-    \includestandalone{tikz/applications/baldock/graph-Baldock2019_Reading}
+    \includestandalone[width=0.86\textwidth]{tikz/applications/baldock/graph-Baldock2019_Reading}
     \caption{Reading}
+    \label{subfig:baldock-english-network-reading}
   \end{subfigure}
   \caption{English networks from~\cite{baldockSystemsApproachReveals2019a}}
   \label{fig:baldock-english-networks}
@@ -35,7 +48,51 @@ networks in four major english cities.
 
 \begin{figure}[ht]
   \centering
-  \includestandalone{tikz/applications/baldock/graph-Baldock2011_TB+Baldock2011_JN}
-  \caption{South African network from~\cite{baldockDailyTemporalStructure2011}}
-  \label{fig:baldock-south-african-networks}
-\end{figure}
\ No newline at end of file
+  \includestandalone[width=0.43\textwidth]{tikz/applications/baldock/graph-Baldock2011_TB+Baldock2011_JN}
+  \caption{African network from~\cite{baldockDailyTemporalStructure2011}}
+  \label{fig:baldock-african-networks}
+\end{figure}
+
+We applied our clustering method on those 6 networks, using the four models.
+Interesting results arose from \emph{iid} and $\pi\rho$ models, which are
+presented below in figures~\ref{fig:baldock-clust-iid}
+and~\ref{fig:baldock-clust-pirho}.
+
+\begin{figure}
+  \begin{minipage}{.5\textwidth}
+    \begin{subfigure}[htb]{\textwidth}
+      \includestandalone{tikz/applications/baldock/iid-clust-struct}
+      \caption{$\bm{\alpha}$ structures of the\newline
+        collections identified}
+      \label{subfig:baldock-clust-iid-struct}
+    \end{subfigure}
+    \newline
+    \begin{subfigure}[htb]{\textwidth}
+      \includestandalone{tikz/applications/baldock/iid-clust-tree}
+      \caption{Tree of splits}
+      \label{subfig:baldock-clust-iid-split}
+    \end{subfigure}
+    \captionof{figure}{Results for \emph{iid} clustering}
+    \label{fig:baldock-clust-iid}
+  \end{minipage}%
+  \begin{minipage}{.5\textwidth}
+    \begin{subfigure}[htb]{\textwidth}
+      \includestandalone{tikz/applications/baldock/pirho-clust-struct}
+      \caption{$\bm{\alpha}$ structure of the\newline
+        collection identified}
+      \label{subfig:baldock-clust-pirho-struct}
+    \end{subfigure}
+    \newline
+    \begin{subfigure}[htb]{\textwidth}
+      \includestandalone[width=0.86\textwidth]{tikz/applications/baldock/pirho-clust-tree}
+      \caption{Tree of splits}
+      \label{subfig:baldock-clust-pirho-split}
+    \end{subfigure}
+    \captionof{figure}{Results for $\pi\rho$ clustering}
+    \label{fig:baldock-clust-pirho}
+  \end{minipage}
+\end{figure}
+
+\paragraph{Results} The main thing one can see when comparing the two
+clusterings is that while \emph{iid} do not find a common structure, $\pi\rho$
+manage to find one.
\ No newline at end of file