At 1700 Tech, How Long Can a European Naval War be Sustained Before European Timber is Exhausted?

Just a little thought experiment. At approximately 1700-level technology, assuming that both sides always have access to timber, and that nothing happens politically significant enough to bring the combatants to the peace table, how long can an active naval war be sustained before European timber supplies (Including European Russia) are effectively exhausted for naval purposes? Of course, that doesn't necessarily mean the war would end, as they would switch to North American sources, but let's not focus on that.
 
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Effectively it would last forever. Given that ships tended to be captured and reflagged rather than sunk outright in this period. Its a massive amount of timber potential if you include all of Scandinavia and western Russia.
 
Also, in 1700 there are vast timber resources in North America which can be exploited - using 1700s tech. Of course if you limit timber cutting to areas settled in 1700 rather than those that were reasonably accessible a different story.
 
The Landes were initially afforested under Louis XIV to serve for future shipbuilding. And they are the greatest forest in West Europe.
 
You really cannot focus on North America The Spanish Navy after 1700 they built a quarter of the ships they built were built in Havana. Including some of their largest ships.
 
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