The food I feed is a DIY food that contains several different types of raw seafood, such as shrimp, scallops, octopus, squid, cod, and blended oysters, as well as frozen prepared food such as mysis shrimp, spirulina brine shrimp, bloodworms, cyclopeeze, and krill, and then has several coral additives such as Reef Chili, ZoPlan, PhytoPlan, and Coral Frenzy, as well as Nori. Then it also contains Selcon, Marine C, and Garlic. From what I've read about these products, this type of food supply much if not all of the nutrients and corals need to thrive, as well as many trace elements.
It is known (and has been known for quite a long time) that algae does provide a wide array of various compounds that are beneficial to aquatic life.
As far as studies go, I have to say that there have been few to no scientific studies about the positive or negative effects of algae scrubbers on marine or freshwater environments. I would say none that I know of. It's one of the reasons why I hesitate to tell someone flat out to do this of that. Only you know your system best.
However, on the flipside of the "study" coin, while there may be many studies on the effects of other forms of filtration, many of them are inconsistent at best and some are highly conflicting. Some techniques work great on one tank and epically fail on another. Many of these failures can be attributed to a lack of understanding of the basic principles behind a system and what to look for if something should start to go awry. So when someone's tank crashes, it's really hard to say what caused it in most cases, since the marine aquaria can be a very complex system.
I know of one example where someone moved a tank that was running multiple scrubbers, and everything was fine until a few weeks after the move, and then everything took a nose dive. Corals started dying, nuisance algae showed up, to no avail. Simply re-arranging your rock in your tank or moving powerheads around to change a long-term established flow pattern can result in a die-off of life colonies that relied of their relative position in the system. Corals can initial chemical warfare that brings about a cascade response and take an entire system down. Those are things that most people don't take into consideration. Blaming one part of a complex system is like blaming cholesterol for hardened arteries, when it's really just doing it's job, and a symptom of somethings else that is out of whack. Not the best comparison, but hopefully you get my point.
For the average aquarist, a combination of filtration techniques is usually the best route. Finding the right combination that works for you is an individual choice.
As far as water changes go, many people consider a 5%-10% PWC a month enough to replace trace elements. And maybe they like to clean up the sand a bit. That's fair enough, and I'm not going to try to convince anyone otherwise. My position on PWCs with an algae scrubber system is that they are not needed to reduce N and P as long as N and P are within your preferred tolerance range (that is, if the algae scrubber is doing it's job).
As for me, I've done a couple 15-20% PWCs in the last year, but mainly as a 'last resort' to try and solve an issue, or during a tank move (which I had to do twice in 3 days on the current system).
By the way MACNA is totally frickin' awesome. I met Brett from Tanked and talked to him for on and off for about an hour, then sat down with the LA FishGuys after his presentation for about an hour, and sat with them during the reception tonight. They're are all exactly like they are on TV/YouTube.
A big thanks to Reef Central for sponsoring the reception! The wife is mad that I stayed so late!