Correct testing of mark independence for marked point patterns
Correct testing of mark independence for marked point patterns
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DOI：
10.1016/j.ecolmodel.2011.10.005
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发表时间：
2011-12-10
影响因子：
3.1
通讯作者：
Stoyan, Dietrich
中科院分区：
文献类型：
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作者：
Grabarnik, Pavel;Myllymaki, Mari;Stoyan, Dietrich
空间格局分析提供了关于生态过程的有价值的信息。许多生态系统可以用标记点过程来描述。标记点过程统计应用中的一个关键问题是标记点的空间相关性问题。因此，分析的第一步是检验商标的独立性。为此，许多研究人员使用流行的信封测试。然而，这可能导致不合理的高类型1错误概率，因为在该测试中，同时检查一定距离范围的空间相关性。本文详细讨论了偏差检验在检验标记独立性假设中的应用。此外，它还展示了如何改进包络检验，使其成为统计推断和理解可能拒绝独立性假设的原因的有价值的工具。森林生态学的两个例子说明了这两种测试类型的应用。(C)2011爱思唯尔B.V.保留所有权利。
Spatial pattern analysis provides valuable information on ecological processes. Many ecological systems can be described by marked point processes. One of the key issues in the statistical application of marked point processes is the question of spatial correlations of the marks. Therefore, the first step of analysis is a test of independence of marks. Many researchers use for this purpose the popular envelope test. However, this may lead to unreasonably high type 1 error probabilities, because in this test spatial correlations are inspected for a range of distances simultaneously. The paper discusses in detail the use of deviation tests for testing hypotheses of mark independence. Additionally, it demonstrates how the envelope test can be refined so that it becomes a valuable tool both for statistical inference and for understanding the reasons of possible rejections of the independence hypothesis. Two examples from forest ecology illustrate the application of both test types. (C) 2011 Elsevier B.V. All rights reserved.