Your vertical jump potential is achieved through a delicate balance of body weight, absolute strength, explosiveness and genetics. Develop your squat and maximize your strength without putting on a lot of excess weight. Train explosiveness through plyometrics. Plyos only get you so far. Add in dynamic squats and deads, coupled with heavy Oly lifts. Unfortunately, you cannot do anything about your genetics at this time.
Obviously, if you're a SHW, then even a 1000 lb squat won't get you a 40" vertical (at least I don't think so). Go after the "easy" squat strength you can get through novice, then intermediate training.
In the interest of full disclosure, I pulled this out of my ass based on my training and understanding of how the body works. I do not train for vert; however, I am 90 lbs heavier than I was in HS, much stronger and can still grab rim. Yeah, the highest I could ever jump was the rim and I was a DB in football.
I think we need to add box jumps for height to powerlifting meets after deadlifts.
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Box jumps, cleans (hang power, hang squat, full power and full squat), Snatches (Full power and full squat), squat jumps, pistols, ect. Also, push jerks and clean and jerks.
On the oly, Keep the reps low (1-3 reps/set) and the weights heavy once you get the form down (80-90%).
Explosive squats (50% 1rm) go for speed on the recovery, weighted jump squats (30% 1rm squat). Also consider the use of chains and bands in your squatting and deadlifting.
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I'm curious as to how loading the top of the movement develops the strength needed for jumping...? Chains and bands look cool and sexy....plus...WESTSIDE BABY! Are they particularly useful to a raw lifter seeking to increase his vert?