Leaving aside the pollution of the rivers and the land and the air over the years, replacing a forest like the Amazon (example) and the ecosystem within cannot be measured in terms dollar incentives to an industry.
Sustainable harvesting is much like clean coal. The math doesn't actually work, but the advocacy sure does. ;-)
Responsible wood farming is quite possible, and it can be forced by strong regulation with the ability to enforce some rules and stop imports of things not meeting rules.
CITES has been effective at sustaining forests through maintaining their economic value while reducing production to sustainable levels. Shannon Rogers podcast on the lumber industry has several episodes dedicated to this if you want to learn more.
Wood comes from a place where a forest (like Amazon) once stood.
> …can be forced by strong regulation with the ability to enforce some rules and stop imports of things not meeting.
I doubt that any of the above is possible. Businesses can always weasel their way out and do what they need to do to make money.