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\title{Structure of permanent food webs resulting from an assembly
algorithm}
\subtitle{ }
\author{Nadiah Kristensen}
\institution{Department of Mathematics \\ University of Queensland}
\email{elendil@maths.uq.edu.au \\
http://www.maths.uq.edu.au/\~{}elendil}
%\slideCaption{Matthias Heil \& Andrew L. Hazel, Department of Mathematics, University of
%Manchester, UK \hspace{0.5cm} {\tt http://www.maths.man.ac.uk/$\tilde{\
%}$mheil} }


\begin{document}

\maketitle

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\overlays{2}{%
\begin{slide}[R]{Food webs}
\bi
\item This is a marine pelagic \emph{food web} (Laws et al. 2000)
\ei
\epsfig{file=./lawsmodel.ps,angle=-90,scale=0.3}

\fromSlide*{2}{%
\bi
\item ``Who eats whom'' directed graph:
\bi
	\item Nodes are energy sources (species, trophic species,
	nutrient loading, compartments ...).
	\item Edges are flows of energy.
	\ei
\item Point?  Amongst other things - dynamical system
\ei
}
\end{slide}
}

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\overlays{2}{%
\begin{slide}[R]{Food web model behaviour, predator-prey}
\begin{minipage}{0.48\linewidth}
\bi
\item Consider a simple predator-prey Lotka-Volterra system
$$
\frac{dH}{dt}=(1-0.1P)H,
$$
%
$$
\frac{dP}{dt}=(-0.5+0.02H)P.
$$
\ei
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\epsfig{file=./limcyc.ps,angle=-90,scale=0.2}
}
\end{slide}
}
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\begin{slide}[R]{Concluding remarks}
\bi
\item Does stability and assembly explain food web
attributes?
	\bi
	\item Trophic fractions -- better agreement with later literature
	\item Some potential for link density, maximum chain length,
	and cycling
	\item Not for link-type fractions
	\ei
\item Big messages
	\bi
	\item Balance between macro and micro scale explanations (e.g.
	link type)
	\ei

\item Where to from here?
	\bi
	\item Scale-variant trends
	\item Invasion data
	\item How much just feasibility constraint?
	\item Effects of productivity
	\ei
\ei
\end{slide}

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\end{document}