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Presentation Title: Network-Analytic Explorations of Species Criticality in Terrestrial and Aquatic Food Webs Discipline: Applied and Computational Mathematics School: Rochester Institute of Technology Student Level: Masters Presentation Type: Oral Presentation Abstract: Network-Analytic Explorations of Species Criticality in Terrestrial and Aquatic Food Webs Benjamin Parker (Mathematics), Dhrubo Jyoti (Mathematics & Physics) Instructor: Professor Daniel Rockmore, Department of Mathematics, Dartmouth College

The research set forth here uses network-analytic tools and the Ecopath software package to offer insight into two ecosystems the Puget Sound Central Basin and the Florida Cypress Wetlands. Taking advantage of the availability of complete dietary information, each ecosystem is modeled as a weighted, directed network. The relative importance of species in a given food web is determined via several established centrality measures, as well as a new measure, node criticality. Each food web is formulated as a Markov chain, where expected commute-time distances are calculated between species. A combination of commute-time embedding and trophic-level calculations are used to produce visualizations of the food-webs, color-coded to show the node criticality of the species. Finally, time-series simulations are run for the Puget Sound Central Basin ecosystem using Ecopath, where comparisons are drawn through the impact of perturbing critical functional groups versus non-critical functional groups on the entire ecosystem. The simulations seem to agree closely with our node criticality scores when determining important functional groups.

Presenter: Benjamin Parker Tribe: Squaxin, Turtle Mountain Anishinaabe, Cree Primary Email: bqp3342@g.rit.edu Biography My name is Benjamin Quanah Parker, and I am Squaxin, Turtle Mountain Anishinaabe, and Cree. I recently graduated from Dartmouth College with a B.A. in Mathematics. I am currently a first-year graduate student at Rochester Institute of Technology, where I will be obtaining my M.S. in Applied and Computational Mathematics.

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2011 National Conference Student Research Abstracts  
2011 National Conference Student Research Abstracts  

A comprehensive list of the student research topics that will be presented at the AISES 2011 National Conference

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