时空相互作用的扩展引力模型的Fourier分析
Fourier Analysis of an Expanded Gravity Model for Spatio-Temporal Interactions
摘要：
傅立叶分析和交叉关联函数被成功地应用于通过将时间变量引入吸引力度量（例如，城市规模）。传统的模型假设空间的相互作用是瞬时的，而新的模型认为相互作用是一个时间的过程，并衡量它作为一个聚合在一段时间内。这样，新的模型不仅在理论上更加合理，而且使我们能够将时间过程的分析融入到空间相互作用建模中。基于互关联函数，利用傅立叶分析技术对所建立的模型进行了标定，并分四步演示了计算过程。本文通过一个简单的案例来说明城市间相互作用的建模方法，并强调了新模型与传统引力模型之间的关系。
英文摘要：
Fourier analysis and cross-correlation function are successfully applied to improving the conventional gravity model of interaction between cities by introducing a time variable to the attraction measures (e.g., city sizes). The traditional model assumes spatial interaction as instantaneous, while the new model considers the interaction as a temporal process and measures it as an aggregation over a period of time. By doing so, the new model not only is more theoretically sound, but also enables us to integrate the analysis of temporal process into spatial interaction modeling. Based on cross-correlation function, the developed model is calibrated by Fourier analysis techniques, and the computation process is demonstrated in four steps. The paper uses a simple case study to illustrate the approach to modeling the interurban interaction, and highlight the relationship between the new model and the conventional gravity model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
