\begin{center}
\begin{Large}
\textbf{
Module 3 Project for Group S1G3\\ Due 3$^\text{rd}$ November 2008 }
\end{Large}
\end{center}
\section{Research Paper}
\begin{description}
\item[Authors] David Daudin, Jorge Sierra
\item[Year] 2008
\item[Title] Spatial and temporal variation of below-ground N transfer from
a leguminous tree to an associated grass in an agroforestry system
\item[Journal] Agriculture, Ecosystems and Environment 126 (2008) 275--280
\item[Web-site] \verb+www.elsevier.com/locate/agee+
\end{description}

\section{Data}
\begin{center}
\begin{tabular}{|c|c|}\hline
\textbf{Distance (m)}\rule{0pt}{14pt} &
\textbf{Concentration of C (mg kg$^{-1}$)}\\\hline
0 & 38.9\\
1 & 34.9\\
2 & 33.7\\
3 & 31.9\\
4 & 31.8\\
5 & 31.1\\
\hline
\end{tabular}
\end{center}
\section{Models}
\subsection{Exact Fit Polynomial}
Find a polynomial model that passes through all the data points.Note
that the
first homework assignment of this module was to find this model.
\subsection{Two Parameter Model}
Fit an optimal model of the form:
\[
Ae^{Bx}
\]
where $x$ is the distance from the tree.
\subsection{Three Parameter Model}
Fit an optimal model of the form:
\[
Ae^{Bx}+C
\]
where $x$ is the distance from the tree.
\section{Conclusion}
Select the model that is most suitable for the data. When making this
choice it will help to ask yourselves which model :
\begin{enumerate}\renewcommand{\theenumi}{\alph{enumi}}
\item matches the data most accurately?
\item best captures the general pattern and trends of the data?
\item is the most efficient description of the data?
\item will make the most reliable predictions of future behaviour?
\end{enumerate}



