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.
Most of the time dry lips are just that -- lips that have lost moisture because of dehydration, too much wind or too much sun. Occasionally, however, dry lips may signal a more serious condition. When a health problem exists, dry or cracked lips could be one of many symptoms. For example, if dry lips are accompanied by a fever, red eyes and tongue, swollen lymph nodes, and swollen, red skin on your hands and feet, they could be an early symptom of Kawasaki disease [source: Mayo Clinic ].