In the Roman period, most common buildings were made of wood. When the population grew the trees and forest declined. Once you run out of trees where you live, you have to buy it from the next closest place, and when you use up all he wood there, you have to get it some where else, making it harder and harder to get wood. It also resulted in climate change, soil erosion, flooding, run off, and weakened farm land.
In current time in Canada we don't have a deforestation issue. The law in Canada is you are only allowed to cut down 1% of forests each year, and plant new ones in their place.