Research is lacking in the Northeast, but it’s reasonable to assume the impact is worse in areas where deep snows concentrate deer and limit their mobility, and coyotes prey on adult deer more frequently. We also know coyotes practice surplus or opportunity killing, taking down and killing prey not for food but merely because it’s easily available.
All this makes them very unpopular with deer hunters. Behavioral plasticity in their breeding behavior also makes them difficult to eradicate. Removing an alpha male may disrupt pack dynamics for a short while but a nomad will soon be along to take its place. Or a subordinate may take over the role. Furthermore, absence of an alpha male in a formerly well-defended territory could result in several males establishing several families. When coyote numbers are reduced, prey becomes relatively more abundant. This, and less intra-specific aggression results in higher productivity and thus, more coyotes.
https://www.popsci.com/story/animals/eastern-coyote-facts/?fbclid=IwAR2mBZljhOx00j2aosJrYGgr46xHxt-Od96PsBAXQuiJNUsr84bFgBBNm_k