A methodology to quantify the neighborhood decay effect of urban cellular automata models

Spatial heterogeneity is an essential feature of land use change. It is important for cellular automata (CA)-based urban expansion modeling to consider the spatial heterogeneity of neighborhood effect. According to the first law of geography, there exists a distance decay effect in the neighborhood space of the urban CA models. But no research has ever been able to accurately quantify the neighborhood decay effect and apply it to models. In this study, we propose a methodology to accurately quantify the neighborhood decay effect of CA models with large neighborhood size, including the design of neighborhood configuration and the selection and optimization of decay strategies. <br> <br>

空间异质性是土地利用变化的本质特征。在基于元胞自动机（Cellular Automata, CA）的城市扩张建模中，考量邻域效应的空间异质性至关重要。依据地理学第一定律，城市CA模型的邻域空间存在距离衰减效应，但目前尚无研究能够精准量化该邻域衰减效应并将其应用于模型。

本研究提出一种方法，可精准量化大邻域尺度下CA模型的邻域衰减效应，具体包括邻域配置设计以及衰减策略的选取与优化两部分。