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Exploring Spatial Process Dynamics Using Irregular Cellular Automaton Models

机译:使用不规则元胞自动机模型探索空间过程动力学

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摘要

Cellular automaton models have enjoyed popularity in recent years as easily constructed models of many complex spatial processes, particularly in the natural sciences, and more recently in geography also. Most such models adopt a regular lattice (often a grid) as the basis for the spatial relations of adjacency that govern evolution of the model. A number of variations on the cellular automaton formalism have been introduced in geography but the impact of such variations on the likely behavior of the models has not been explored. This paper proposes a method for beginning to explore these issues and suggests that this is a new approach to the investigation of the relationships between spatial structure and dynamics of spatial processes. A framework for this exploration is suggested, and details of the required methods and measures are provided. In particular, a measure of spatial pattern—spatial information—based on entropy concepts is introduced. Initial results from investigation along the proposed lines are reported, which suggest that a distinction can he made between spatially robust and fragile processes. Some implications of this result and the methodology presented are briefly discussed.
机译:近年来,元胞自动机模型作为易于构造的许多复杂空间过程的模型而广受欢迎,尤其是在自然科学领域,最近在地理领域也是如此。大多数此类模型都采用规则的晶格(通常是网格)作为控制模型演化的邻接空间关系的基础。在地理学中已经引入了关于细胞自动机形式主义的许多变体,但是尚未探索这种变体对模型的可能行为的影响。本文提出了一种开始探索这些问题的方法,并提出这是一种研究空间结构与空间过程动力学之间关系的新方法。建议进行此探索的框架,并提供所需方法和措施的详细信息。尤其是,引入了一种基于熵概念的空间模式(空间信息)度量。报告了沿着拟议路线进行调查的初步结果,这表明可以在空间鲁棒性过程和脆弱过程之间做出区分。简要讨论了该结果和所提出的方法的一些含义。

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