pretty simple really -
your alternators job is just to keep the battery at a steady voltage, if your battery is weak then that alternator is already working overtime to keep it charged as is, then adding more of a load I/e and amp is of course going to create a voltage drop.
In a normal heathly system with proper gauge wiring and well done connections, having an occasional 60 amp draw over stock isn't going to hurt it. Considering on average most cars probably pull 20-30 amps stock, theres enough headroom to pull more, you really have to be pushing a system hard to be pushing beyond the charging limit.
I would say once you go beyond a simple sub amp + 4ch, and get to the point where your max current draw is over 100amps, it may be time to consider an alternator. Calling it a certain # of watts wouldn't be accurate enough, since wattage claims vs. current draw are vastly different.