I don't think it would have any thing to do with the time of year. Many states allow coyote hunting 12 months with no closed season. Michigan has rules.
Coyote may be taken on private property by a property owner or designee all year
if they are doing or about to do damage on private property. A license or written permit is not needed.
Residents possessing a valid small game license may hunt coyote during the established season.
Michigan Coyote Hunting Season:
Statewide
July 15 - April 15 with game or predator call only. Firearm may be loaded or arrow nocked only when using call.
Firearms: You may use a centerfire rifle during daytime hunting hours in the shotgun zone.
Damage Control: September 15 – October 14 – Only on private lands when doing or about to do damage; landowners and guests only; with game or predator call only; firearm may be loaded or arrow nocked only when using call.
Residents possessing a valid small game license may hunt coyote during the established season.
Special Season and dates for hunting Michigan coyotes at night: October 15 – March 1
Legal Devices: Only a bow and arrow, crossbow, .22 caliber or smaller rimfire rifle or handgun or a shotgun with loads other than buckshot, slug or cut shell.
Note: All hunters using a .22 or smaller caliber rimfire to take a furbearing animal day or night from November 10 – November 14 must have a fur harvester license.
Special restriction in shotgun zone: No rifles or handguns from November 15 – November 30.
Legal Artificial Lights: Only lights similar to the type ordinarily held in the hand or on the person. – Flashlights, portable battery powered spotlights and headlamps and similar portable lights designed to be carried in the hand or on the person are legal. The use of natural light including night vision optics and scopes is legal.
Al