I am currently working on a lot of ancestries, with some of more than 13 generations. Obviously, I don't have all the ancestors for each ancestry. You theoretically expect an exponential growth of the number of ancestors from the starting individual, but it is hardly the case, due to inbreeding (consanguinity) or just because you lack information on some of the ancestors.
It can result in very incomplete tree, or very unbalanced one.
So, I need some general indicator of completeness for a genealogical tree. I've come up with the completeness of a tree which is :
N : Number of individual in the genealogy, + the people that should have been there because of inbreeding (If there is one consanguinity event, you basically have one less people than expected at one level, but it add up when you go back in time. Nevertheless,you have information on the ancestry, so I count those people many times.
: The theoretical number given by where n is the maximum depth of the tree.
Do you guys have any idea of other useful statistics (balanced of the tree, mean depth of the tree...)? I know its more of a statistical genealogy question, but perhaps there is some folks around here who might have encounter this issue.