There is a Summer / Autumn / Winter / Spring pattern in the Temperate zone, also affecting the Desert and the Grassland climatic zones and, a Wet / Dry pattern in the tropical north which includes the Equatorial, Tropical and sub-tropical zones.
Most likely, your lips are suffering from excessive dryness, or chapping. Actually, picking at them and peeling off the skin can worsen the situation, as this can make the dryness worse. It would be better to try applying a good lip balm or lip moisturizing lotion. This should help you break the cycle of dryness and peeling, but only if you can refrain from picking at the skin in the meantime.
Excessively Dry Peeling Lips. Helichrysum. A little over a month ago, I began having a problem with my lips, out of the clear bue. There had been a noticeable dry spot on my top lip that was like a patch of some sort, completely different from the skin on the rest of my lips, but it didn't really bother me, so I ignored it. So now...Both my top and bottom lips have started peeling to the point of being raw.