The diversity and density of urban functions have been known to affect urban vibrancy positively, but the relation between the two has not been empirically examined; if high density is associated with low diversity in an area, its vibrancy may not increase. To obtain a better understanding of the metabolism of cities and directions for urban planning interventions, this paper offers empirical evidence on the association between the diversity and density of urban functions in the Tokyo Metropolitan Area, using a robust density index that was determined via a Monte Carlo simulation. By conducting association analyses, it was found that highly dense station areas tended to display low diversity at multiple scales. Further investigation indicated that this negative correlation was owing to different spatial characteristics of functions and complementary functioning among highly accessible station areas. This paper argues for considering both diversity and density in urban planning to make station areas vibrant and resilient.

众所周知，城市功能的多样性和密度会对城市活力产生积极影响，但两者之间的关系尚未得到实证检验；如果一个地区的高密度与低多样性相关联，那么它的活力可能不会增加。为了更好地了解城市的新陈代谢和城市规划干预的方向，本文提供了东京都区城市功能多样性与密度之间关联的经验证据，使用了通过 Monte卡罗模拟。通过关联分析发现，高密度站区在多个尺度上往往表现出低多样性。进一步调查表明，这种负相关是由于高可达站区之间功能的空间特征不同和功能互补所致。本文主张在城市规划中同时考虑多样性和密度，以使车站区域充满活力和弹性。