Ah wood, the most useless of resources for most player most of the time! What on earth is it for? Can't burn it, can't whittle, can't really ask devs to add either as a function....
So what to do with all the extra wood? Players tend to have ridiculous overages in it, and either dump it to their guild (so now guild vault gains the overages lol) or sell it on market cheaply in hopes of some quick gold gains.
The simplest solution would be to increase the costs of /everything/ in wood by ~10% and see what effects this has on the game economy. Since stone or iron is the limiting factor in a construction of research, wood consistently lags behind both of them in terms of actual use. Repair costs (for banners and artifacts) in wood have made it slightly more useful; these could also be increased slightly, say 5%.
Some researches have a significant cost in wood, but the majority rely again on iron or stone. Making wood a more important part of all researches could be a way to not only increase wood consumption but distinguish between researching and building as well.