To put that in some perspective, a Roman legion (roughly 5,000 men) in the Late Republic might have carried into battle around 44,000kg (c. 48.5 tons) of iron – not counting pots, fittings, picks, shovels and other tools we know they used. That iron equipment in turn might represent the mining of around 541,200kg (c. 600 tons) of ore, smelted with 642,400kg (c. 710 tons) of charcoal, made from 4,620,000kg (c. 5,100 tons) of wood. Cutting the wood and making the charcoal alone, from our figures above, might represent something like (I am assuming our charcoal-burners are working in teams) 80,000 man-days of labor. For one legion. https://acoup.blog/2020/09/25/collections-iron-how-did-they-...
Lindybeige has a good video on the topic. It doesn't quite go back to Roman times though.
In Roman times... We know, for instance, that Elba was almost totally deforested during the Roman period to fuel the bloomeries smelting the ore and Pliny notes in his Natural History that smelting (not always of iron) had substantially reduced forest-stocks in parts of Gaul and Campagnia. Roman iron production in the eastern High Weald of England may have deforested something like 500km2 over the course of three centuries and there is reason to believe that Roman-period iron production in this area stopped because of scarcity of fuel, rather than ore. Iron-working was hardly the only factor in the steady deforestation of Europe, but it was a major factor.
So apparently Roman-era metal production was sufficient to deforest isolated large islands, but probably not for mainland areas better able to reforest themselves.
https://en.wikipedia.org/wiki/Caledonian_Forest
>An examination of the earliest maps of Scotland suggests that the extent of the Caledonian Forest remnants has changed little since 1600.