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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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Track Analysis beyond Pan

Compare Croizat and Wright to see where right and left may be geographically localized.


Croizat – STF 327 “STRUCTURE IS THE KEY TO HABIT; once both are thoroughly fixed, the imposition of change of habit by a change of environment not matched by a further possible change of structure means much sooner extinction than survival. See further p. 882.”


Wright EMP 54 “Hundreds of thousands of generations seem to be required at best for important nonadaptive evolutionary changes of the species as a whole; while adaptive advance, depending on chance attainment of favorable combinations would be much slower.  Even so the process is much the most rapid non-self terminating one yet considered.”


The nonadaptive subspecific differences form a structure that with possible changes in habit under selective coefficients effect on mutation and immigration will become extinct under some radiation situations and thus are self terminating when life and earth evolve together if not other structural form-making occurs in the subdivision (where creation cannot occur by God at two different points on the Earth). This sentence contains both the self terminating and the non-self terminating aspects and so did Croizat’s priority of structure over reducing Darwin’s cochnological provinces (from ocean water) to Galapagean “tracks” (including both sides of western South America) that survives no matter the abiotic effect.


Snake scale variation that cline with environmental temperature were such a thought nonadaptive trait


 

 

 


 


Given tracks find incident points


 
The graph to the right seems to indicate that incident points may exist to the West.  A construction of a generalized track below seems to suggest both in the immediate area near the track and by virtue of the land water boundary possible locations of incident points.  The possiblity of predicting new collection localities may be of use in conservation science.

 


 
 


 

 

 

This map indicates that incident points connect in the West (by mininmal spanning tree within the species and generalized track outside) rather than the East as the outline map below shows and was redrawn by two other sources.

 

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This is a possibility of finding points that span the two tracks (yellow and brown below) suggested by pit vipers.





This kind of pratice may be helpful in conservation science when it is necessary to determine where a species needs protection.  The following published outline maps indicate that a higher degree of overlap is occurring in the Eastern part of the range while as indicated above the incidence may indeed be in the West instead.