AI 中文总结
本研究针对全球1800多个城市建成区，揭示建成足迹与总人口成正比的空间标度定律，为城市科学及可持续发展提供重要依据，同时发现人均建成面积恒定，剩余差异与人均GDP高度相关，暗示经济发展与可持续性的权衡。
AI 中文摘要
城市扩张依赖宝贵的耕地，无论城市规模大小，尽管全球已采取诸多措施缓解其影响，但仍会对生态系统和人类健康造成影响。不过，城市范围与人口规模之间的关联尚不明确。本研究揭示了适用于全球1800多个城市建成区的标度定律，发现全球城市具有相似（或等距）的径向土地利用轮廓，且建成足迹与总人口成正比。这一空间标度定律对理解和界定城市区域、助力构建城市科学、推动城市可持续发展具有重要意义，它表明不同规模城市的内部结构相似，人均建成面积在不同城市规模间保持恒定，剩余差异与人均GDP衡量的财富高度相关，这暗示了经济发展与可持续性之间存在权衡。
英文摘要
Urban expansion builds on precious arable land, affecting ecosystems and health, despite worldwide measures to alleviate its impacts, in small and large cities. Nonetheless, the link between urban extent and population size is still unclear. Here we uncover a scaling law governing built-up land in 1800+ global urban areas. We observe that world cities have homothetic (or isometric) radial land use profiles, and that built-up footprint is proportional to total population. This spatial scaling law is important for the understanding and the definition of urban areas, to help build a science of cities and make them more sustainable. It implies that small and large cities have similar internal structures, and that built-up area per capita is constant across city sizes. The remaining variations are very strongly correlated to wealth measured by gross domestic product per capita, suggesting a pick between economic development and sustainabiliy.
Comments10 pages, 4 figures (for the main text)
