Question

what does this section of the monroe doctrine say about future european colonization on the american continents?

• the occasion has been judged proper for asserting as a principle in which the rights and interests of the united states are involved, that the american continents by the free and independent condition which they have assumed and maintained, are henceforth not to be considered as subjects for future colonization by any european power...
• monroe doctrine

it should be a joint decision between the united states and great britain
it should allow only great britain the right to continue colonization
it should be limited in scope to only south america
it should not happen under any conditions

Explanation:

The Monroe Doctrine excerpt clearly states that the American continents, in their free and independent condition, are "not to be considered as subjects for future colonization by any European power." This means no European power (not just a specific one like Great Britain, and not limited to South America) should colonize. There's no mention of a joint decision with Great Britain.

Answer:

It should not happen under any conditions.