Wavelet analysis for detecting anisotropy in point patterns

Wavelet analysis for detecting anisotropy in point patterns
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用于检测点模式中的各向异性的小波分析

DOI:
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发表时间:
2004
期刊:
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通讯作者:
M. Rosenberg
M. Rosenberg
中科院分区:
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文献类型:
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作者:
M. Rosenberg

文献摘要

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虽然已有许多方法被提出用于分析空间格局的点位置,但以往的方法主要集中在聚类和间隔上。由于缺乏针对这些数据和这一目的明确设计的方法,对点模式各向异性(随方向变化的空间格局)的研究受到了限制;研究人员不得不选择任意的测试方向或将数据转换为样方计数,并使用为连续分布数据设计的方法。小波分析是一种新兴的空间格局研究方法,广泛应用于数学和物理的信号分析,并开始进入生态文献。提出了一种简单的小波分析方法来检测点图案的各向异性。并用模拟数据和现场数据对该方法进行了说明。这种方法可以很容易地用于全局和局部空间分析。
Abstract Although many methods have been proposed for analysing point locations for spatial pattern, previous methods have concentrated on clumping and spacing. The study of anisotropy (changes in spatial pattern with direction) in point patterns has been limited by lack of methods explicitly designed for these data and this purpose; researchers have been constrained to choosing arbitrary test directions or converting their data into quadrat counts and using methods designed for continuously distributed data. Wavelet analysis, a booming approach to studying spatial pattern, widely used in mathematics and physics for signal analysis, has started to make its way into the ecological literature. A simple adaptation of wavelet analysis is proposed for the detection of anisotropy in point patterns. The method is illustrated with both simulated and field data. This approach can easily be used for both global and local spatial analysis.