Single‐species distributional patterns have been well studied and quantified using a negative binomial model. However, it is still unclear how to quantify multi‐species distribution patterns. A previous study (Chen et al. 2019) developed a simple conspecific‐encounter index for quantifying multi‐species distributional aggregation patterns when biodiversity data are collected in a consecutive scheme along line transects. Here, through simple derivation, we reported that the previously proposed conspecific‐encounter index had a close association with Moran's I index, which has been widely applied in spatial ecology for describing spatial autocorrelation of ecological data. Our proof unified the conspecific‐encounter index that is applied under the context of line‐transect sampling and Moran's I index that is applied under the context of spatial ecology. The unification sheds light on the development of new statistical metrics for quantifying biological diversity and distribution patterns when line transects are used in field surveys.

中文翻译：

---

统一特定对象索引v和Moran的I索引

已经使用负二项式模型对单物种的分布模式进行了充分的研究和量化。但是，如何量化多物种的分布模式仍然不清楚。先前的研究（Chen et al.2019）开发了一种简单的特定物种遭遇指数，用于在沿线样线以连续方案收集生物多样性数据时量化多物种分布聚集模式。在这里，通过简单的推导，我们报道了先前提出的同种相遇指数与Moran的I指数有着密切的联系，后者已在空间生态学中广泛用于描述生态数据的空间自相关。我们的证明统一了在线样采样和Moran' 在空间生态学背景下适用的I指数。统一为在田间调查中使用线样面时量化生物多样性和分布模式的新统计指标的发展提供了启示。