Generally depends on the monster. I find Pitfall can be annoying because it makes some enemies, like Qurupeco, too low to be hit with tranqs reliably. It also makes it so you can't hit the tail. However, Pitfall Traps are great for hitting the face if you're a hammer user, and they typically last longer. --- Two little Indian boys sitting in the sun; One got frizzled up and then there was one.
Oh, and the materials for both are Thunderbug + Trap Tool for Shock Trap, and Net (which is Spider Web + Ivy) + Trap Tool for Pitfall. --- Four little Indian boys going out to sea; A red herring swallowed one and then there were three.
Are you talking about capturing, or free hits? I tned to prefer shock, as you can still cut tails, it's a much bigger target for tranq bombs, and they work underwater, but pitfalls are good if you want to break things at the head end. Thunderbugs can be a pain to get too.
--- I said "After this let's go do the other quest" and it came out "**** this let's go do the other quest." and everyone abandoned - Ahdeeyah
If a Monster is out of Stamina, they will stay in a Pitfall extra long. Not sure about shocks. Don't spam Traps though since Monsters gain resistance over time, and the length of each trap becomes shorter.
Overall shock traps are better. They can be used anywhere and its easier to hit with tranqs, not to mention they don't flail around.
Pitfalls are good if you want to break a specific part that's still visible in the pitfall, like Blos' horns or Barioth's wings. --- Signature will not change until my signature changes. Started last time I changed my signature.