
%%%%%%%%%%%%%%%%%%% Beginning of Second Thesis Chapter %%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{My Second Body Chapter Title}
%% Add Abstract here
\section{Abstract}
Abstract as it appeared in paper.  Indent as paragraph. I heard the song coming from a distance, lightly floating over the air to his ears. Although it was soft and calming, he was wary. It seemed a little too soft and a little too calming for everything that was going on. He wanted it to be nothing more than beautiful music coming from the innocent and pure joy of singing, but in the back of his mind, he knew it was likely some type of trap.

%% Add Introduction here
\section{Introduction}
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%% Example citation
\citep{Einstein1425}

%% Sample Figure
 \begin{figure}[H]
       \centering\includegraphics[scale=0.40]{Figures/capybara.pdf} 
    \caption[A capybara wearing a suit.] {A capybara wearing a suit. Probably has an important meeting to get to.}
\label{fig:capybara}
\end{figure}


\section{Methods}
%% Add methods here
\subsection{Study System}
Nam dui ligula, fringilla a, euismod sodales, sollicitudin vel, wisi. Morbi auctor lorem non justo. Nam lacus libero, pretium at, lobortis vitae, ultricies et, tellus. Donec aliquet, tortor sed accumsan bibendum, erat ligula aliquet magna, vitae ornare odio metus a mi. Morbi ac orci et nisl hendrerit mollis. Suspendisse ut massa. Cras nec ante. Pellentesque a nulla. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Aliquam tincidunt urna. Nulla ullamcorper vestibulum turpis. Pellentesque cursus luctus mauris.
%% Example citation
\citep{Styles1985}


\subsection{Mathematical Model}
\lipsum[3]

%% Sample Equation #1
\begin{equation}  \label{eq:diff_mod}
		\frac{\partial u_i}{\partial t} = \underbrace{D \nabla^2 u_i}_{\text{Random Motion}} - \underbrace{2 \nabla [A_i \nabla u_i]}_{\text{Directed Motion}}
\end{equation}


\subsection{Statistical Model}
{\lipsum[4]}
%% Sample Equation # 2
\begin{equation} \label{eq:ssf}
f(\boldsymbol{x}|\boldsymbol{y}, \theta_0) = \frac{\Phi(\boldsymbol{x}|\boldsymbol{y}, \theta_0)\ w(\boldsymbol{x}, \boldsymbol{\beta})} {\int_\Omega \Phi(\boldsymbol{x}'|\boldsymbol{y}, \theta_0')\ w(\boldsymbol{x}', \bm{\beta})\ dx}
\end{equation}


%% Example Table
\begin{table}[H]
\begin{center}
\begin{tabular}{l l l}
\toprule
Parameter                                             &  Interpretation                                 &   Dimensions                  \\\toprule
\textbf{x}                                            &  spatial location                               & $[1 \times 2]$                \\
$u_i(\textbf{x}, t)$                                  &  individual territory                           & $[1 \times 1]$  (i = 5)       \\
$V_{hr}$                                              &  vector field defining available space 	        & $[1 \times 1]$                \\ 
$B(\boldsymbol{x})$                                   &  perceptive range of individuals	            & $[1 \times 12]$               \\
$\overline{s_j}(\boldsymbol{x},t|B(\boldsymbol{x}))$  &  spatially averaged effect in perceptive range	& $[1 \times 1]$  (j = 4)       \\
$\boldsymbol{\beta_{i,j}^C}$                          &  effect of conspecific (from iSSA)              & $[5 \times 5]$                \\\bottomrule%
\end{tabular}
\end{center}
\caption[Model Components and parameters making up advection diffusion model as well as biological interpretation in models system.]{Model Components and parameters making up advection diffusion model as well as biological interpretation in model's system.}
\label{table:terms}
\end{table}



\section{Results}
%% Enter Results Below 
\lipsum[1]


\subsection{Steady State Solution}
\lipsum[2]

%% Example table
\begin{table}[H]
\begin{center}
\begin{tabular}{lrrrrr}
\toprule%
              &  TET052 & TET030 & TET072 & TET062 & TET074  \\\toprule%
TET052 &  -    & -0.3  &  -0.1 &  -0.1  & -0.14              \\
TET030 & -0.26  &  -   & -0.1  &  -0.2  &  -0.2              \\
TET072 & -0.1  &  -0.1 &   -   & -0.13 & -0.1		         \\
TET062 & -0.1  & -0.31  & -0.16 &   -   & -0.1		         \\
TET074 & -0.13 & -0.21 & -0.1  & -0.1  &    -                \\\bottomrule%
\end{tabular}
\end{center}
\caption[A bunch of values.]{They all seem to be negative. Maybe that's significant? Maybe it's not. Why are a bunch of them 0.1?}
\label{table:SSA_coef_est}
\end{table}



\subsection{Non-territorial Individual Analysis}
\lipsum[3]


\section{Discussion}
\lipsum[5]


%% Second chapter bibliography
\bibliographystyle{besjournals}
\bibliography{library}

