Is there a realistic "family tree" model for the human population?
Well, there are some questions regarding what population. I don't have 50 rep, so I can't really ask for clarifications; populations range a lot, from your typical avoidance of inbreeding (laws against cousin marriage) to Tamils with their high rates of first cousin marriage (so high that they don't have any pedigree inbreeding depression due to selection, so it's not unhealthy).

Mating in humans is often assortative for many traits including education, vocation, etc. When the Americas were settled (after aboriginal Americans were devastated by disease), skin color was a source of assortative mating. Arguably it still is. On the other hand, people tend to mate disassortatively for traits such as Major Histocompatibility Complex.
Furthermore, isolation in human populations tends to be by distance (though this is of course changing, leading to a lot of admixture in recent population history). 

As a result, what your population is will have a huge impact on your results; you'll need to calculate f for any particular locus, and take a look at admixture. If f is 0, then you have a random mating scenario (neither preference nor avoidance of inbreeding, and neither assortative nor disassortative mating).

TL;DR if you're doing a very simple analysis on dummy data, you can probably get away with assuming that mating is totally random. But if we're talking about actual populations, you'll need to run the models/calculations of f and other population measures.