Which tree harvesting method promotes the growth of younger trees by selectively cutting mature trees over a period of 10 years?

Shelterwood cutting.

Explanation:

Shelterwood cutting is a technique employed in silvicultural processes that promotes the growth of younger trees by selectively cutting mature trees over a 10-year period.

In this technique is made the progression of cuttings that promotes the growth of seedlings resulting in the harvesting of mature trees and promotion of the growth of younger trees. Generally this technique is used in old forests where mature plants are causing shade of young plants. Generally young plants are long-lived and upon receiving light, after thinning the old plants, begin to develop properly and promises a longer duration of the forest.