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The urban sprawl dynamics: does a neural network understand the spatial logic better than a cellular automata?

机译:城市蔓延动态:神经网络是否比细胞自动机更好地理解空间逻辑?

摘要

Cellular Automata are usually considered the most efficient technology to understand the spatial logic of urban dynamics: they are inherently spatial, they are simple and computationally efficient and are able to represent a wide range of pattern and situations. Nevertheless the implementation of a CA requires the formulation of explicit spatial rules which represents the greatest limit of this approach. Whatever rich and complex the rules are, they don`t are able to capture satisfactorily the variety of the real processes. Recent developments in natural algorithms, and particularly in Artificial Neural Networks (ANN), allow to reverse the approach by learning the rules and the behaviours in urban land use dynamics directly from the Data Base, following a bottom-up process. The basic problem is to discover how and in to what extent the land use change of each cell i at time t+1 is determined by the neighbouring conditions (CA assumptions) or by other social, environmental, territorial features (i.e. political maps, planning rules) which where holding at the previous time t. Once the NN has learned the rules, it is able to predict the changes at time t+2 and following. In this paper we show and discuss the prediction capability of different architectures of supervised and unsupervised ANN. The Case study and Data Base concern the land use dynamics, between two temporal thresholds, in the South metropolitan area of Milan. The records have been randomly split in two sets which have been alternatively used in Training and in Testing phase in each ANN. The different ANNs performances have been evaluated with Statistical Functions. Finally, for the prediction, we have used the average of the prediction values of the 10 ANNs, and tested the results through the usual Statistical Functions.
机译:通常,元胞自动机被认为是了解城市动态空间逻辑的最有效技术:它们本质上是空间的,它们简单且计算效率高,并且能够代表各种各样的模式和情况。但是,CA的实施需要制定明确的空间规则,这是该方法的最大局限。无论规则多么丰富和复杂,它们都无法令人满意地捕获各种实际过程。自然算法的最新发展,特别是在人工神经网络(ANN)中,通过自下而上的过程,可以直接从数据库中学习规则和行为,从而逆转这种方法。基本问题是发现在时间t + 1时每个小区i的土地利用变化如何以及在多大程度上由邻近条件(CA假设)或其他社会,环境,领土特征(即政治地图,规划规则)在前一时间t持有哪个。 NN学习到规则后,便可以预测时间t + 2及之后的变化。在本文中,我们展示并讨论了有监督和无监督的人工神经网络的不同体系结构的预测能力。案例研究和数据库涉及米兰南部都市圈两个时间阈值之间的土地利用动态。记录被随机分为两套,分别用于每个ANN的培训和测试阶段。不同的人工神经网络性能已通过统计功能进行了评估。最后,对于预测,我们使用了10个ANN的预测值的平均值,并通过常规统计函数对结果进行了测试。

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