80 lines
3.6 KiB
TeX
80 lines
3.6 KiB
TeX
\hypertarget{application-to-data}{%
|
|
\section{\texorpdfstring{Application to
|
|
\cite{doreRelativeEffectsAnthropogenic2021}
|
|
data}{Application to data}}\label{application-to-data}}
|
|
|
|
\label{sec:application-to-dorerelativeeffectsanthropogenic2021-data}
|
|
|
|
Here we apply the network clustering procedure (we refer to it as
|
|
\emph{netclustering}) to the data from
|
|
\cite{doreRelativeEffectsAnthropogenic2021}. These data are
|
|
plant-pollinator bipartite networks from differents areas and times.
|
|
|
|
In a second part we will use additional information for the networks to
|
|
try to identify the impact and correlations with the observed
|
|
structures.
|
|
|
|
\hypertarget{netclustering-with-the-iidtext-colbisbm-model}{%
|
|
\subsection{\texorpdfstring{Netclustering with the
|
|
\(iid\text{-}colBiSBM\)
|
|
model}{Netclustering with the iid\textbackslash text\{-\}colBiSBM model}}\label{netclustering-with-the-iidtext-colbisbm-model}}
|
|
|
|
We obtained the more interpretable results with \(iid\text{-}colBiSBM\)
|
|
model. This resulted in 5 collections to partition the \(M = 123\)
|
|
networks.
|
|
|
|
\includegraphics{./img/22d3409f045c956ffc0773e508871c61db4ad1e9.png}\newline\includegraphics{./img/2859d1c94af6539cced6aee6ee6bf6d49498518d.png}\newline\includegraphics{./img/037bcbcbc85f8a9562f98706ad7766c4099516ef.png}\newline\includegraphics{./img/f730f05cb60a7cdc837102601660f03edd767a60.png}\newline\includegraphics{./img/90d21c2459f68c2a6bc6cce93f9f1e10c3f0fef5.png}\newline
|
|
|
|
In all the obtained collections the structure is the classical nested
|
|
structure. As this is a well-known structure for plant-pollinator data
|
|
this tends to indicate that we are not going in a wrong direction.
|
|
|
|
The \nth{3} collection consists of only one network, indicating that for
|
|
this model, the small76 network was really different of all the others.
|
|
One reason might be that it's the oldest network and maybe the data
|
|
collection protocol is different.
|
|
|
|
\hypertarget{comparison-with-additional-information}{%
|
|
\subsection{Comparison with additional
|
|
information}\label{comparison-with-additional-information}}
|
|
|
|
Using supplementary information we obtain the following boxplots.
|
|
|
|
\begin{figure}
|
|
\centering
|
|
\includegraphics{./img/de77b630fb66744d3a3ed68e45be765532d1eb0f.png}
|
|
\caption{\label{fig:boxplot-annual-time-span}Boxplot of annual time span
|
|
in function of the collection number}
|
|
\end{figure}
|
|
|
|
The annual time span is the number of days the sampling period lasted.
|
|
So we can thus see in figure \ref{fig:boxplot-annual-time-span} that
|
|
collections 1 and 4 were sampled for a larger period of time than
|
|
collections 2 and 5. This could explain observed differences in the
|
|
structure detected : the ``checkerboard'' appearance of the alpha
|
|
matrices representations may represent interactions that only occurs at
|
|
a given period of time. Thus the shorter time period doesn't capture
|
|
such interactions.
|
|
|
|
\begin{figure}
|
|
\centering
|
|
\includegraphics{./img/5bbc4b4b07c0e990a3ae2755165958ffbf517902.png}
|
|
\caption{\label{fig:boxplot-total-rainfall}Boxplot of total rainfall in
|
|
function of the collection number}
|
|
\end{figure}
|
|
|
|
There seems to be the same trend for the total rainfall.
|
|
|
|
\begin{figure}
|
|
\centering
|
|
\includegraphics{./img/c75a33aa046b6f1bbcff45268346c4ec39067917.png}
|
|
\caption{\label{fig:boxplot-sampling-effort}Boxplot of the sampling
|
|
effort in function of the collection number}
|
|
\end{figure}
|
|
|
|
The sampling effort seems to be quite higher for collection 5 and a
|
|
little higher for collection 2. And collection 1 and 4 have the inverse
|
|
trend. The separation between collections 1,4 and 2,5 seems to still
|
|
hold. And the sampling effort is related to the sampling time that is
|
|
why it's higher for the collections that were sampled for a shorter time
|
|
period.
|