I can only talk from a smaller scale. All the wood houses here are built with wood from here. Forests are strictly regulated and it's heavily illegal to deforest faster than its sustainable for the region. At least half of the people here also heat with wood, usually from their own lands. I personally have literally zero heating cost increase this year, which is crazy in Europe.

There are however at least thousands of trees for every person living here so that couldn't be scaled to a city.