The
sugar content, the amount in the kettle, is always the same, it doesn't change, unless you splash out wort, have boil overs, leave the valve open, or add more sugars.
By boiling you merely evaporate water, thus
concentrating the sugars that are are already in there.
By doing a full boil you get better hop utilization, which merely refers to bittering. Perhaps somewhat better overall hop flavor when brewing very hoppy beers (IPAs).
The main reason to do full boils is to concentrate sugars when doing all grain brewing. See below.
For
extract brewing there is no real need to do full volume boils. To reduce caramelization, don't add all the extract to the boil, only half (or less) and add the rest at flameout, so it gets pasteurized.
Not just BIAB, it's common for all all-grain brews, even full volume extract brews. You start out with a larger volume and due to evaporation you concentrate the wort during the boil. A gallon an hour boil off on homebrew systems is often used as a guideline.
To optimize mash/lauter and thus brewhouse efficiency in the end, most all grain processes use a mash volume that's smaller than the pre-boil volume needed. The balance is made up by sparging (rinsing) the grain, which extracts more sugars from the mash.
There are different ways to sparge. Larger systems all use
fly sparging. Smaller batches, e.g., 5-15 gallons could be fly sparged, but
batch sparging is very popular too, requiring less dedicated equipment and tends to be easier and faster.
BIAB mashes are often
non-sparge. This means using full volume mashes without sparging. Many brewers let the bag drip out or squeeze it.
However, many do sparge by simply pouring a gallon or so of water over the bag or dunk it in a large bucket or spare kettle with a few gallons of water in it. The resulting sparged volume, containing more precious sugars, is added to the kettle. Voila!
You could but don't have to. You may as well brew a batch and use the estimate of a gallon boil off per hour (or 1/2 gallon if you boil 30 minutes) and add a little more at the end if needed. Next time add that extra bit of to the beginning volume. After a few brews you get it all dialed in. Some calculators use a "boil off percentage," but there's a fallacy as boil off tends to be more or less the same amount, and occasionally even less at higher volumes.
Recommended reading:
- HowtoBrew.com (it's an older, web version, but covers brewing basics very well).
- Or the more modern book version of it (4th edition right now).
- HomeBrewTalk