steep concave: good for transition, your foot sits deeper in the "dish", anything where you have to be kept attached to the board should be easier with steeper concave.
flat concave: usually flips faster/more direct flick, shoves don't flip over that easily and tend to stay horizontal. you also have more surface to slide on.
overall length: personal preference i'd say.
shorter wheelbase: should make it easier to pop the board in a certain direction, i. e. away from you("yo"-flips, ninja catch). manuals are usually easier with a shorter wheelbase, too. trucks might have a tighter turning radius.
longer wheelbase(i. e. 14 1/2-15 inches): better to keep on the ground. makes you more centered. less risk of a mr wilson. turns a bit more sluggish(almost not noticeable, though).
nose: the bigger, the more leverage you have for nollies and likewise popped tricks(fakie).
tail: shorter tails might give you more pop because you have to pop harder to even hit the ground. the board is also steeper in the air during the pop which makes it easier to drag the board up higher with your front foot. longer tails pop off before your pop hits its maximum momentum and the board doesn't come up as steep.
roundness/pointiness of nose and tail: rounder noses/tails have more slide surface and less scoop. pointier noses/tails are the opposite.
in conclusion, a much bigger role imo plays the fact on what kind of board you instantly feel comfortable. creature boards for example i don't find steep at all although most of the team consists of transition rippers. i'd say personal preference plays the biggest role of all in the end. but experimenting with shapes is half the fun in skating(at least if you've been skating half your life).
i wanna try out a polar p3(the squareish shape?) to see the difference.
EDIT:
note that the wheelbase can also be affected by your trucks. if you compare indys with ventures for example, you might notice that the axle on venture trucks lies even more outward in the direction of the nose/tail, thus even extending the wheelbase a little bit compared to indys.