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.
Though you're likely not even thinking about the action, repeated lip licking removes the skin's natural lipids, which then causes the person to develop a cycle of licking lips to try to relieve the dryness, says Dr. Woolery-Lloyd. In bad cases we call this a lip-licking dermatitis.. Slough off dry skin with a lip scrub: Exfoliating dry lips is a good first step, but they must be moisturized immediately with a good lip balm in order to protect the new skin underneath, says Dr. Tanzi. Look for a gentle scrub that's not too abrasive.