Why?
The crow season is split up to maximize the crow harvest - over thier home andmigration period. Sept 1. - March 31. Federal regulations control how many days total - migratory birds can be hunted. (not which days of the week though). NY has one of the longest Crow seasons.
http://www.dec.state.ny.us/website/dfwmr/wildlife/guide/crow.html
The coyote season runs Oct 1. - March 26th. Longer than the trapping season for the same animal!
http://www.dec.state.ny.us/website/dfwmr/wildlife/guide/coyoteh.html
Both are the longest seasons of any protected species in the state.
Seems to me like DEC is trying to maximize the hunting potential of both species.
FH