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The K-function method on a network and its computational implementation
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DOI：10.1111/j.1538-4632.2001.tb00448.x.png)
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摘要
En 中文
This paper proposes two statistical methods, called the network K-function method and the network cross K-function method, for analyzing the distribution of points on a network. First, by extending the ordinary K-function method defined on a homogeneous infinite plane with the Euclidean distance, the paper formulates the K-function method and the cross K-function method on a finite irregular network with the shortest-path distance. Second, the paper shows advantages of the network K-function methods, such as that the network K-function methods can deal with spatial point processes on a street network in a small district, and that they can exactly take the boundary effect into account. Third, the paper develops the computational implementation of the network K-functions, and shows that the computational order of the K-function method is O(n(Q)(2) log n(Q)) and that of the network cross K-function is Q(n(Q) log n(Q)) where n(Q) is the number of nodes of a network.
Keyword:
2ND-ORDER ANALYSIS
STATISTICAL-ANALYSIS
POINT PATTERNS
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4.3
论文数:
706
被引数:
4.7K
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