Most respondents have accurately hit on the cause being day length.
For the OP and followers of this thread, I'll contribute the science behind it that I have posted on BYC over the years.
Light exposure to the retina is first relayed to the nucleus of the hypothalamus, an area of the brain that coordinates biological clock signals. Fibers from there descend to the spinal cord and then project to the superior cervical ganglia, from which neurons ascend back to the pineal gland. The pineal gland translates signals from the nervous system into a hormonal signal.
When light periods are shorter, the gland produces serotonin and subsequently, melatonin. That's the hormone that affects the gonads for sperm production in males and ovulation in females. An increase in melatonin causes the gonads to become inactive.
Photoperiod, in relation to day vs. night, is the most important clue for animals to determine season. And by extension, when to reproduce.
Cold really has very little to do with egg production. The same thing happens whether it is a cold or warm climate.
As light lengthens, the gonads are rejuvenated. The duration of melatonin secretion each day is directly proportional to the length of the night because of the pineal gland's ability to measure daylength. Besides reproduction, it also affects sleep timing and blood pressure regulation.
So as the light period increases, in relation to the dark period, it stimulates reproduction and - voila - EGGS.