The n-dimensional hypervolume
The n-dimensional hypervolume
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DOI：
10.1111/geb.12146
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发表时间：
2014-05-01
影响因子：
6.4
通讯作者：
Enquist, Brian J.
中科院分区：
文献类型：
--
作者：
Blonder, Benjamin;Lamanna, Christine;Enquist, Brian J.
目的Hutchinsonian超体积是许多生态和进化研究的概念基础，包括功能形态学、比较生物学、群落生态学和生态位理论。然而，现有的从超大体积采样或测量其几何形状的方法在高维或孔洞数据集上表现不佳。创新我们首先强调概念和计算问题，这些问题阻碍了更直接的方法测量超大体积。接下来，我们提出了一种新的多元核密度估计方法，该方法在任意维上解决了许多这样的问题。主要结论我们的方法(实现为超级体积R包)可以与现有的几种用于超级体积几何和物种分布建模的方法相匹配。量化高维生态超体积的工具将使一系列基本的描述性、推断性和可比性问题得以解决。
AimThe Hutchinsonian hypervolume is the conceptual foundation for many lines of ecological and evolutionary inquiry, including functional morphology, comparative biology, community ecology and niche theory. However, extant methods to sample from hypervolumes or measure their geometry perform poorly on high-dimensional or holey datasets.InnovationWe first highlight the conceptual and computational issues that have prevented a more direct approach to measuring hypervolumes. Next, we present a new multivariate kernel density estimation method that resolves many of these problems in an arbitrary number of dimensions.Main conclusionsWe show that our method (implemented as the 'hypervolume' R package) can match several extant methods for hypervolume geometry and species distribution modelling. Tools to quantify high-dimensional ecological hypervolumes will enable a wide range of fundamental descriptive, inferential and comparative questions to be addressed.