Is there a realistic “family tree” model for the human population?

Question

[Paul]

I would like to do some gene inheritance simulations, and I was wondering if there is a generally accepted model for what mating looks like in the general human population? I am not necessarily looking for the exact graph of any population.

For example, my current model has generations 1, 2, ..., n, n+1, ... where each individual in generation i is the product of a mating between two individuals in generation i-1. This is obviously over simplistic, and I was wondering if there are better models out there?