Tree roots are hearty and complex systems, so they don’t die immediately after the rest of the tree is removed. If you leave the root system in place, it takes anywhere from two to seven years for it to run out of nutrients. It is worth noting, however, that the roots stop growing and expanding after cutting down the rest of the tree.

Yes, it is highly recommended to remove tree stumps. Leaving them in the ground can lead to several problems, as they are not only unsightly but can also reduce your property's value. Stumps can obstruct landscaping plans, make mowing difficult, and hinder new growth. More importantly, they are prime breeding grounds for pests like termites, ants, and mice, which can spread to your home and cause costly damage to its wood and foundation. Stumps also attract fungi and diseases that can infect other healthy trees and plants in your yard. As a stump decays, it might sprout new, unwanted shoots. While removing a stump is an investment, it prevents these potential issues and enhances the safety, health, and appearance of your landscape.

Pruning trees during the summer can be a bad idea because the new growth will take place during the hottest months of the year, which can stress your tree out. Similarly, pruning during the early fall can be a bad idea, too, because you’d be stimulating new growth when most trees are aiming to go dormant. 

Pruning recommendations will vary by the type of tree, but generally, waiting until winter to prune your trees is a good idea.

If a disease has attacked and destroyed the roots, then the tree may fall over as soon as it has died or while part of it is still alive. Trees that die with their roots left in place tend to stay standing for much longer, but those roots will decay eventually, allowing gravity to do the rest.