论文标题
使用不均匀的摘要统计数据测试生物多样性
Testing biodiversity using inhomogeneous summary statistics
论文作者
论文摘要
麦吉尔（McGill）的生物多样性理论基于三个公理：同一物种的个体聚集在一起，许多稀有物种与少数常见的物种和不同物种的个体共同存在。在过去的十年中，已经采用了经典的点模式分析来根据平稳性的错误假设来验证这些公理。在本文中，我们使用经典摘要统计数据的空间点模式的不均匀版本来评估麦吉尔第一和第三公理的有效性，用于从巴罗科罗拉多岛上50公顷的图中获得的数据。
McGill's theory of biodiversity is based upon three axioms: individuals of the same species cluster together, many rare species co-exist with a few common ones and individuals of different species grow independently of each other. Over the past decade, classical point pattern analyses have been employed to verify these axioms based on the false assumption of stationarity. In this paper, we use inhomogeneous versions of the classical summary statistics for spatial point patterns to assess the validity of McGill's first and third axioms for data obtained from a 50 hectare plot on Barro Colorado Island.
