中文摘要：

分形理论是当今的研究热点,可以用于解决旅游系统各要素如何高效、合理利用等问题.本文通过利用旅游景点的距离r和累计旅游景点数目N的关系计算分维数,来反映景点围绕中心景点随机聚集的特征.结果表明：（1）福州市旅游景点的空间分布具有分形结构.（2）在[0 km,90 km]、[0 km,30 km]、[30 km,90km]三个区间的不同旅游地类型中,只有区间[30 km,90 km]的人工娱乐旅游地不存在分形结构.区间[0 km,30 km]的人工娱乐旅游地分维数大于2,景点的分布从中心景点向周围密度递增,中心景点的中心性作用较弱.其他各区间各类型的旅游景点分维数都小于2,景点的分布从中心景点向周围密度递减,中心景点的中心性作用较强.（3）总体来说,区间[0 km,90 km]各类型旅游景点的中心景点中心性作用比区间[30 km,90 km]对应的各类型景点中心性强.四个旅游景点类型中以运动休闲旅游地的中心景点中心性作用最强,且在各区间各类型中以区间[0 km,30 km]的运动休闲旅游地中心景点中心性作用最强.

英文摘要：

The study of fractal theory is the hot spots,which can be used to solve the problems of how to make elements of tourism system more reasonable and efficient utilized. By calculating fractal dimension with the relationship between the distance of the tourist attractions ＂r＂and the cumulative number of tourist attractions＂N＂,this paper reflectsed the characteristics that the scenic spots randomly gathered around the center spot.The results showed that：（ 1） the spatial distribution of Fuzhou city tourist attractions reflects fractal structure.（ 2） except the artificial entertainment destination in the interval [30 km,90 km],the other two ranges of different types of tourism destination-[0km,90km]and[30km,90km]do reflect a fractal structure. Except the fractal dimension of artificial entertainment destination in the interval [0 km,30 km]is greater than 2 and the density of attractions＇ distribution is increasing from the center to the surrounding,showing that the central attraction of centricity is weak. On the contrary,in the Other two intervals,fractal dimension of each type of tourist attractions is less than 2 and the density of attractions＇ distribution is decreasing from the center to the surrounding,showing that the central attraction of centricity is stronger.（ 3） in general,the central centricity of the various types of tourist attractions in the interval [0 km,90 km]is stronger than the same type of the same tourist attraction in the interval [30 km,90 km]. The central centricity of the sports leisure tourism attraction is the strongest one in the four types of tourist attractions. And in the interval [0 km,30 km],it is the strongest one in each tourist attraction of each interval.