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.
When outdoors, protect your lips with a cream or balm containing sunscreen. Photo Credit Jupiterimages/Comstock/Getty Images. Chapped lips are unsightly and painful, particularly if the skin peels and cracks. Peeling skin on the lips can make them so tender that eating and drinking become uncomfortable. If chapped lips become badly enough inflamed, they can bleed and are likely to become infected.