Graph matching a skeletonized theoretical morphospace with a cladogram for gomphonemoid-cymbelloid diatoms (Bacillariophyta)

Show simple item record Pappas, Janice L. 2011-04-26T12:52:16Z 2011-04-26T12:52:16Z 2011-04
dc.description.abstract A three-dimensional (3D) theoretical morphospace of gomphonemoid and cymbelloid diatoms was skeletonized using concepts from extended Reeb graph analysis and Morse theory. The resultant skeleton tree was matched to a cladogram of the same group of related taxa using adjacency matrices of the trees and ordinated with multidimensional scaling (MDS) of leaf nodes. From this, an unweighted path matrix based on the number of branches between leaf nodes was ordinated to determine degree of matched tree structures. A constrained MDS of the path matrix, weighted by ranked MDS leaf node groups as facets, was used to interpret taxon environmental tolerances and habitat preferences with respect to adaptive value. The methods developed herein provided a way to combine results from morphological and phylogenetic analyses and interpret those results with respect to an aspect of evolutionary process, namely, adaptation. en_US
dc.language.iso en_US en_US
dc.subject Adjacency Matrix en_US
dc.subject Cymbella en_US
dc.subject Facet Diagram en_US
dc.subject Gomphonema en_US
dc.subject Morse Theory en_US
dc.subject Path Matrix en_US
dc.subject Reeb Graph en_US
dc.subject Skeleton Tree en_US
dc.title Graph matching a skeletonized theoretical morphospace with a cladogram for gomphonemoid-cymbelloid diatoms (Bacillariophyta) en_US
dc.type Article en_US
dc.subject.hlbsecondlevel Science (General)
dc.subject.hlbsecondlevel Ecology and Evolutionary Biology
dc.subject.hlbtoplevel Science
dc.description.peerreviewed Peer Reviewed en_US
dc.contributor.affiliationum Museum of Paleontology en_US
dc.contributor.affiliationumcampus Ann Arbor en_US
dc.identifier.doi 10.1142/S0218339011003816
dc.identifier.source Journal of Biological Systems en_US
dc.description.mapping -1 en_US
dc.owningcollname Zoology, University of Michigan Museum of (UMMZ)
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