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Axiomatic Panbiogeography

offers an application of incidence geometry to historical biogeography by defining collection localities as points, tracks as lines and generalized tracks as planes.
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Incidence Geometry
Composite Construction
Orthogenesis
Quaternion Algebraic Geom
Vicariance
Primate Vicariances
Individual Track Construc
Generalized Tracks
Taxogeny
Nodes
Edges
Distributions
Pit-Vipers
Trees
Caecilians
GyrinophilusPseudotriton
Desmognathus
Urspelerpes
Erimystax
Plethodon
Eurycea
Mushrooms
Lizards
Crotalus
Other Salamanders
Salamandridae
Elaphe
Lampropeltis
Pseudoeurycea
Turtles
Ambystoma
Snakes
Elapids
Spiders
Ants
Butterflies and Moths
Crawfish
Isopod
Sculpins
Aneides
Noturus
Ambloplites
Frogs&Toads
Plants
Ostracods
Leavenworthia
Kinosternidae
Necturus
Phacelia
Odonates
Propositions
CREADer
Areas
Main Massings
Geology
Track Analysis and MetaCo
Martitrack Panbiogeograph
Applications
Work
Replies to Criticism
Multimodel Selection
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TinkerPopPanbiogeography
Track Analysis beyond Pan

Potentially Vicariant Distributions -This was one of the first applications I made.
It always seemed clear(even before I studied Panbiogeography) (morphologically) that Gyrinophilus and Pseudotriton were as closley related as any two different salamander genera were.  I did not consider suggested phylogenies first but simply looked at their geographic differences.  These are presented below. Initially I  looked at the distributions from GBIF and noticed a slight difference along the length of the Appalachian mountains from such a large scale map. With a slight bias for Pseudotriton throughout the south and somewhat in the north, there also appeared to be a symmetrical difference along the N-S axis with Pseudotriton to the west and Gyrinophilus.  Thus a vicariant model was suggested in which there was a prior split and biogeographic (not geographic) ellipitic directionality from whereever the vicariance was to be baselined.




In looking for some aspect of the distribution that may reflect the slight geographic assymetry I noted that cave species of the spring salamanders may provide this.



This analysis places the vicariance in the same class as that described for Eurycea, Desmognathus and Plethodon.
 Finally, I attempted to discern aspects of the vicariance on two local levels and also looked at the possiblity of being able to coordinate the minimal spans to water drainages which would be needed as the node, mass, baseline and track coefficients were decided.

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Pseudotriton