This is a bit of a religious debate. My personal preference is to have synthetic primary keys rather than natural primary keys but there are good arguments on both sides. Realistically, so long as you are consistent and reasonable, either approach can work well.
If you use natural keys, the two major downsides are the presence of composite keys and mutating primary key values. If you have composite primary keys, you'd obviously have to have multiple columns in each child table. That can get unwieldy from a data model perspective when there are many relationships among entities. But it can also cause grief for people developing queries-- it's awfully easy to create queries that use N-1 of N join conditions and get almost the right result. If you have natural keys, you'll also inevitably encounter a situation where the natural key value changes and you then have to ripple that change through many different entities-- that's vastly more complicated than changing a unique value in the table.
On the other hand, if you use synthetic keys, you're wasting space by adding additional columns, adding additional overhead to maintain an additional index, and you're increasing the risk that you'll get functionally duplicated results. It's awfully easy to either forget to create a unique constraint on the business key or to see that there is a non-unique index on the combination and just assume that it was a unique index. I actually just got bitten by this particular failing a couple days ago-- I had indexed the composite natural key (with a non-unique index) rather than creating a unique constraint. Dumb mistake but one that's relatively easy to make.
From a query writing and naming convention standpoint, I would also tend to prefer synthetic keys because it's nice to know when you're joining tables that the primary key of A is going to be A_ID and the primary key of B is going to be B_ID. That's far more self-documenting than trying to remember that the primary key of A is the combination of A_NAME and A_REVISION_NUMBER and that the primary key of B is B_CODE.