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Full-Text Articles in Life Sciences

The Shapley Value Of Phylogenetic Trees, Claus-Jochen Haake, Akemi Kashiwada '05, Francis E. Su Apr 2008

The Shapley Value Of Phylogenetic Trees, Claus-Jochen Haake, Akemi Kashiwada '05, Francis E. Su

All HMC Faculty Publications and Research

Every weighted tree corresponds naturally to a cooperative game that we call a tree game; it assigns to each subset of leaves the sum of the weights of the minimal subtree spanned by those leaves. In the context of phylogenetic trees, the leaves are species and this assignment captures the diversity present in the coalition of species considered. We consider the Shapley value of tree games and suggest a biological interpretation. We determine the linear transformation M that shows the dependence of the Shapley value on the edge weights of the tree, and we also compute a null space …


Assessment Of Four Years Of Marsh Restoration At The Jones Farm Experimental Restoration Facility In Northeast Ohio: Water Quality, Plant Community Development, And Adaptive Management, Jake J. Grossman Jan 2008

Assessment Of Four Years Of Marsh Restoration At The Jones Farm Experimental Restoration Facility In Northeast Ohio: Water Quality, Plant Community Development, And Adaptive Management, Jake J. Grossman

Honors Papers

In order to characterize water quality, plant community diversity, and invasive species management at a restored wetland, I have analyzed data collected from June 2004 to August 2007 at the George Jones Memorial Farm in New Russia Township, Ohio. The Jones wetlands site is comprised of six emergent, herbaceous marshes that were restored on an old-field site in 2003. The six cells were constructed using a uniform physical restoration treatment, managed uniformly for invasive species, and replanted using three planting treatments. Each planting treatment was applied to two wetlands; treatments included two designer plantings of native taxa and one self-designing …