Tourist Cities and Complexity

Abstract

This paper first suggests the spatial meaning of the rank-size model for tourist cities. Subsequently, on the law of rank-size known also as a power rule and the Latin phalanx, we considered the complexity in each location of the stations and the leisure facilities in tourist cities. Next supposing that domestic travelers and overseas travelers in a tourist city were distinguished, we derived a range of the gap coefficient of a tourist city. Consequently, it turned out that the scale gap of a tourist city is 1＜a＜2 as tourist city increases. Furthermore, from the relationship between the size of the tourist resort area and the size of a non-tourist resort area in a tourist city, we derived a rank-size model based on the number of tourists. Here, in relation with the law of a zip, it turned out that the gap coefficient of a scale depended on the number of tourists relative to the size of a tourist resort. Finally we applied the potential model by Krugman to tourist cities in urban areas.