I've commenced a campaign to rid western New York golfers of the misguided need to label Crag Burn a "links-style" course. I go about explaining that not all GB courses are links and that many are heathland, with Sunningdale perhaps the best of the group. This past Fall, our high school team played a series of alternate-shot,non-league matches with rival schools, affording me the opportunity to play different tee decks on the par three holes. We jumped #5 up to the 130 yard tees, changing the angle and increasing the drop of the tee ball...a great move on my part! On #7, the hole that I revile, we moved up the 140 yard tees, decreasing distance and actually making the hole play slightly uphill.
#5 at Crag Burn has an L-shaped green, similar to #9 at Merion. The green is receptive all the way back to the 210-yard Black tees, given its depth. In absolute contrast, #7 might be 25-30 feet deep from side to side, with a slippery slope to water in the front and elevated bunkering (surrounded by fescue) in the back. One needs to drop that 220-yard club pretty gently onto the green to hold it. On #7, there is simply no place to properly miss the green, as the front left fairway is even less easy to access than the putting surface. I think that a better green (perhaps the reverse of the one on #5) might have been built, especially given the nature of the water hazard that blankets it.
My question is, does a ratio exist for minimum green depth to yardage on a par three hole? Even for the top players, the green is too challenging to hit and hold. In fact, I hit the flag (the cloth part) this Fall and still managed to go through the fuzz into the back rough. How deep should a green minimally be to hold a 200 or 210 or 220 or 230 yard shot?
This question assumes an essentially-flat shot from tee to green. If the shot is uphill, the green will not have to be as deep; for a downhill shot, the opposite is true.