There are a few guidelines you can use to help you, but a wise man once told me, “feel free”… words to live by.
The big, single concave should begin between a foot and two feet from the nose and should reach a maximum depth " somewhere between the surfer’s feet." I like to have the max depth half way between the wide point (where ever that is on the board) and the leading edge of the front fins. I use this general rule for both thrusters and twins. If you’re doing a single concave, it should fade out toward the tail. I like my last 3 inches of tail to be flat to keep it loose, but you could carry it out the tail for more drive (same with double concaves).
The double concave should begin where the single concave reaches it’s maximum depth. Doubles should reach their max depth just in front of the leading edge of the front fins. However, I believe where the double begins has a great deal to do with the ride of the board - further back makes it looser, further forward makes it drive better. But that’s just been my personal experience. There’s a lot more to it, I’m sure. Fade the doubles out to flat, vee, or carry them out the tail as you choose.
Again, from my own personal experience, I think the purpose of concaves is to be able to generate pulses of speed when you need them. This is done by pumping. When a surfer pumps a board, he/she exerts pressure downward, essentially squeezing water through the concaves faster than they do when just planing. This temporary increase in velocity of the water under and out the back of the board translates into forward motion of the board. (That’s just high school physics - Newton’s thrid law of motion.) Watch guys who are able to generate a lot of speed on triple concave boards…they’re constantly pumping. And when they hit a turn hard and just right, they come out of the turn going faster than when they went into it.
The down side is, concaves tend to be less user friendly in small, crappy surf, since deep bottom contours tend to be slower overall than flatter bottoms. So…for small wave boards, keep concaves shallow. For bigger wave boards, go a little deeper - I’ve gone to a max depth of 3/8 with good results. For fish and small wave twinnies, I stick to 1/4 inch or less.
Again… just my experience. I’m sure rails, planshape, width, thickness, tail design… even cloth schedule (stiffness) have something to do with it, too.
Good luck.