I think a lot depends on the axie- My Molly dropped a batch two days after Midwinter last year (First batch- no survivors from the ones I kept
), followed by Goldie a few more days after that. Then on New Year's Day, (After Midsummer, I might add!) I messed around with the lights which coincided with a very cool few days (Followed by some of the hottest in history), and BAM! eggs (thank you, Molly!). I then was feeding those babies quite late a week and a half ago, turned on the light (after another cold day) to see what I was doing, and 12 more eggs (Which look like they'll hatch within the next few days *touch wood!*.
One thing to remember is axies are predispositioned to laying in winter (I remember reading somewhere that they timed it so that the babies would be able to nom on the tadpoles laid after them
) , so it may be an idea to wait until midwinter to see if they breed naturally- perhaps facilitate the room they're in adjusting to match the outdoor world?
For me, I'm trying to keep the adults' tank completely stable now, hopefully discouraging breeding until Midwinter so Molls (Who is quite portly- she really is a (good!) Molly Weasley!) doesn't overdo herself, and when that comes around, hopefully nature will take its course.