What is the best basis for analyzing/mapping evolutionary hostory

https://en.wikipedia.org/wiki/Phylogenetic_tree. Try this link.

Explanation:

The best basis for mapping evolutionary history would be a phylogenetic tree.  This "tree" shows the relationship between every biological species on Earth in reference to their origin...In evolutionary terms, a common ancestor. This tree also takes into consideration the genetic and physical traits and differences in every species and organism on the tree. Hope this helps : )!

well you should start maybe a time line OR,  In the case of phylogeny, evolutionary investigations focus on two types of ... a high percentage of bases in the same locations, causing these organisms to appear ... history of species, our own included, phylogenetic analysis has ... made recommendations for conservation

this would be a math