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\markright{Presentation for the Symposium on BEER\hfill November~\the\year}
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Modeling the Population Dynamics of Imperiled \textit{Guzmania monostachia} Populations

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Helen Pennington\inst{1,*}, Pranay Lingareddy\inst{1}, Erin Bodine\inst{1}

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\inst{1}Department of Mathematics \& Computer Science, Rhodes College, Memphis, TN 38112

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penhe-24@rhodes.edu

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\textit{Guzmania monostachia} are large, long-lived bromeliads whose leaves grow in a rosette pattern and are native to the Americas, but endangered in Florida due to damage caused by the invasive weevil \textit{Metamasius calizona}. Each \textit{G.~monostachia} rosette can reproduce sexually via flowers or asexually by producing clonal offshoot rosettes. We model the population dynamics and demographic structure of a \textit{G.~monostachia} population using a Lefkovitch matrix model where each state represents a demographic class of rosettes. Model analysis over a range of uncertain parameters show the conditions under which a \textit{G.~monostachia} population is viable in the absence and presence of \textit{M.~calizona}, and the expected demographic structure under those conditions.

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