We see this a lot in MN with White Tails The general rut is in early November. Does that don't get bred come back into heat in early December and get bred then. The bucks continue to rut, but they let up in intensity. I killed a nice buck tending a doe two years ago on about December 3 during the muzzleloader season. We were after that buck all of September, October, and November. We saw him, but he never made a mistake. Until December 3, when he was tending a doe very closely. Up and down out of their beds all day but at a long distance. Around dark, she got up and dragged him within range of me.
Is this true for all or most ungulates? Why would Moose be any different? I'd assume some don't get bred in October. I'd assume cows that don't get bred would come back into heat. I'd assume the bulls would be ready, willing and able. We also see cows with calves of different ages, giving birth during May and June (where I live in Homer) . Makes sense that some of them were bred at different times.
That said, I don't have enough experience hunting moose in Alaska to claim to know. Probably a good question for a wildlife biologist. They might also be able to point you at some research.
Incidentally, when I was caribou hunting in August on the KP, my group witnessed a young moose chasing a cow all over the side of a mountain. She wasn't having it, but he sure was into her. It made me wonder if any random cows come into heat early, and are perhaps bred prior to October? Perhaps September is just as likely as November? I'd be curious. But I guess when it comes right down to it, it doesn't matter, because where I'm from, you can't hunt them anyway. Most guys say that the season is limited, and not necessarily centered around the rut - which is best for moose having success breeding, so that's ok.