Depends on how you think of a tripod. If you know you'll always be carrying a tripod, then go for the one that functions best. If you only carry a tripod when it's convenient, go for the carbon fiber.
The reason is that the wood tripod will be so much heavier that you won't carry it as often. Doesn't matter how stable your tripod is if it's at home in a closet when you need it.
I've been using a Manfrotto Carbon One for a couple of years now. It's very light, and solid enough up through light medium format work (I don't think it's nearly stable enough for my heavy 4x5s though). So the other day, I got out my old aluminum tripod (Bogen 3221 I believe). My first reaction was that I could not believe how much heavier it was than the Carbon One. There's no way I'd carry that one far into the field now. I'm really happy with the carbon.
I have also used wooden tripods for surveying. Very stable. Incredibly heavy, compared to the typical photo tripod anyway. So heavy, in fact, that they will slowly sink themselves deeper into soft or damp soil. I assume wooden photo pods are much lighter, but I'd want to know before I purchased one for sure.
Carbon and wood also share the important property of having low thermal conductivity. That means they won't suck the warmth out of your hands while you're setting them up in cool conditions. I imagine the wood pod would be even a little better in that respect than the carbon.
