In the context of rapid urbanization in third-world countries, many cities adopt high-density development, effectively using land but limiting open space, especially for children, impacting their spatial rights. This study focused on the Dongcheng and Xicheng districts of Beijing. It employed methods such as variance inflation factor, multiple linear regression, spatial autocorrelation, and spatial econometric models to investigate the impact of various configuration factors on children’s satisfaction with outdoor activity space. The study also revealed the spillover effects of outdoor activity space configuration for children in high-density urban environments. The results showed that (1) children’s satisfaction was significantly influenced by the configuration elements. The variables that had the most significant impact on satisfaction were the number of outdoor spaces, facilities’ amusement, advertisements, and service management levels. (2) Using spatial econometric models, we determined that spatial dependency significantly enhances the model’s explanatory power. The quantity of outdoor space had the greatest effect on children’s outdoor activity space satisfaction, followed by facilities’ amusement and advertisement impact, and service management had the least impact, though all categories positively affected satisfaction. This study held significant value and importance in improving the rights of children in mega-cities in developing countries and promoting the physical and mental well-being of children.

Stock renewal is one of the important methods of urban renewal, which focuses on optimizing and reusing existing urban spaces. With the increasing land pressure in present-day China and the need for land to be reclassified, the thinking mode of stock updating has become increasingly important. Beijing symbiotic courtyard is a representative urban renewal model that combines the characteristics of traditional quadrangle dwelling and modern architecture, aiming to achieve the symbiosis of history and modernity. After several years of implementation, the effectiveness of this model has become a matter of concern for all parties involved. Therefore, this paper takes stock renewal as the observation perspective, describing an evaluation for the Beijing symbiotic courtyard model, which contains different types of residents living in particular historical districts. It attempts to propose corresponding strategies, aiming to provide a more comprehensive thinking angle and planning method for the sustainability of stock renewal. In contrast to earlier studies, the proposed methods involve a specific mathematical statistical model called the IPA-KANO model, in addition to other traditional urban renewal methods. For a wide range of problems including historical district evaluation and renewal, the approach leads to potentially less errors than caused by manual operation. This comes from the fact that all the data are collected through survey questionnaires and big data, so the technical restriction of using mathematical model is to some extent ruled out in this new approach. Moreover, the approach offers new potential problems that cannot be handled using earlier techniques. After the calculation, although there are still defects, local residents are generally satisfied with the Beijing symbiotic courtyard model. The result suggests that it is of importance to reference this model for urban renewal so that can be widely promoted in historical district vitality regeneration.