It is a perfectly natural process for trees to carry deadwood. However the worry of falling branches means that it is sometimes necessary to remove the major dead wood from trees, especially if the tree is in an area frequented by the public or children. If your tree is protected you do not need local authority consent to have dead wood removed so this is a hassle free job that gives you peace of mind.
Other Pruning options
If a Dead Wood Removal isn’t what your looking for then here are some other pruning options.