Here in New England we are known for some harsh winter storms. Winter storms that bring in heavy snow and ice can cause damage to trees by breaking or bending branches. Larger trees with co-dominant stems are at most risk for damage from these types of storms. To avoid damage proper pruning of peripheral branches and co-dominant branches will reduce leverage of the tree therefore reducing the risk of storm damage by removing weak branch attachments.
Example: Make cuts at the union of the co-dominant branches and take off small peripheral branches bringing in the crown of the tree making the branches stronger for winter storms