It is widely known, for most tourist destinations, that tourist arrivals tend to be seasonal — there tends to be a tourist season, or high season and low season. However, it is important to grasp whether or not the fluctuating pattern of arrivals manifests itself with regularity: is it a case of random fluctuation or cyclical behaviour? In view of the massive scale and importance of tourism, both globally and for several nation states individually, knowledge of the cyclical complexity of tourism is essential if description, prediction, and control, are to be undertaken with acceptable accuracy.