城市可持续发展新型定量研究方法进展

城市体现了集约化的发展方式，以仅占陆地3%的面积承载了世界一多半的人口，因此城市是人类社会可持续发展的主阵地，城市可持续发展是区域可持续发展的重要实践。研究试图从可持续发展的基本内涵着手，聚焦于城市尺度的研究，梳理了相关理论和概念演变历程，着重对新型定量方法——评价指标体系法、复杂系统建模、资源环境可持续性探索等进行综述。研究发现指标体系法常用于传统的城市可持续发展评估，大多是针对表象的分析，隔离了系统内部的组织关联，对系统机理探索不够。资源环境对人类社会的发展起到基础支撑作用，从资源环境可持续性出发研究可持续发展诞生了一些较为创新的方法，但研究集中在描述人类对自然的压力和影响，而对于自然对人类的反馈以及人对自然的积极改造探索不足，也很难直接表达系统整体的可持续性。弹性思维和复杂系统科学近年来被多次用于解释城市运行的灰箱模型，但研究稍浅。研究提出可将弹性思维和复杂系统科学结合起来，借助数据科学和计算科学的新兴方法，分析城市的可持续发展，深入探索可持续性的科学表达和深层机理，为解决复杂的城市问题提供科学指导，为城市可持续发展提供理论依据。

Advances in the innovatively quantitative research approach for urban sustainable development

Cities embody the intensive development mode, with only 3% of the land area to carry more than half of the world''s population, so cities are the main front of sustainable development of human society. Urban sustainable development is an important practice of regional sustainable development. Starting from the basic connotation of sustainable development, this study focuses on urban sustainable development research, sorts out the evolution process of related theories and concepts, and reviews the research methods, especially new quantitative methods including evaluation index system method, complex system modeling, resource and environment sustainability exploration, etc. It is found that the index system method is often used in previous urban sustainable development assessments, but most assessments stay only on appearance and isolate the systemically internally organizational association, and the exploration of the system mechanism is not enough. The resources and environment play a fundamental role in supporting the development of human society, so some relatively innovative methods have been developed to study sustainable development from the perspective of resource and environmental sustainability. Human pressure and influence on nature were studied more, and the feedback of nature to human beings and the positive transformation of human beings to nature were not explored enough, also it is difficult to directly express the sustainability of the whole system. In recent years, resilience thinking and complex system science have been used many times to explain the grey box model of urban operation, but the research is slightly superficial. This study proposes research prospects which can combine resilience thinking and complex system science to analyze the sustainable urban development with new approaches in data science and computing science, and explore the scientific expression and deep mechanism of sustainability. Our study could provide scientific guidance for solving the complicated urban problems, and provide a theoretical basis for urban sustainable development.