Mathematics of genealogical trees

Question

I really searched a lot but did not find anything meeting my needs: A place where questions of genealogy, especially the structural and combinatorial analysis of genealogical "trees" of descendants and ancestors of (human) individuals or populations are treated rigorously and mathematically, especially quantitatively.

Genealogical "trees" - in either direction: family trees or Ahnentafeln - are essentially directed acyclic graphs. But not arbitrary but highly specific ones. I am interested in families of directed acyclic graphs that may serve as realistic models of "real" (human) genealogical "trees". For example with respect to

• "leveledness" (true trees having maximal leveledness),
• average out-degree (while in-degree having to be $2$ - or vice-versa),
• collapsing rate (in the sense of pedigree collapse),
• extinction rate (probabilty of a node to have no children)

and so on.

Any reference is welcome!

Answer 1

In a paper on visualization of genealogical graphs (from 2005) I found this:

"Interestingly, other than Furnas and Zacks [5], we have been unable to find previous work in the mathematical, graph theory, or graph drawing communities that analyzes the graph theoretic properties of genealogical graphs."

(I wonder whether this is still so.)