J Plant Ecol ›› 2021, Vol. 14 ›› Issue (4): 673-678 .DOI: 10.1093/jpe/rtab020

• Short Communication • Previous Articles     Next Articles

Two-step sampling can produce triphasic species–area relationship

Xubin Pan*   

  1. Chinese Academy of Inspection and Quarantine, Beijing 100176, China

    *Corresponding author. E-mail: xubin.hu.pan@gmail.com
  • Received:2020-04-18 Revised:2020-08-01 Accepted:2021-02-06 Online:2021-03-30 Published:2021-08-01

Abstract:

Aims

It is important to explore the underlying mechanisms that cause triphasic species–area relationship (triphasic SAR) across different scales in order to understand the spatial patterns of biodiversity.

Methods

Instead of theory establishment or field data derivation, I adopted a data simulation method that used the power function of SAR to fit log-normal distribution of species abundance.

Important Findings

The results showed that one-step sampling caused biphasic SAR and n-step sampling could cause 2n-phasic SAR. Practical two-step sampling produced triphasic SAR due to the Preston and Pan effects in large areas. Furthermore, before exploring biological or ecological mechanisms for the nature phenomenon, we should identify or exclude potential mathematical, statistical or sampling reasons.

Key words: log-normal distribution, power function of SAR, species abundance distribution, one-step sampling, mathematical induction

摘要:
两步采样可产生三段式种面积关系
解析在不同尺度下引起三段式种面积关系(triphasic species–area relationship, triphasic SAR)的潜在机制对于理解生物多样性的空间格局非常重要。相较于理论构建和野外数据推导,本研究采用了种面积关系的幂函数来拟合对数正态分布的物种多度。研究结果表明,一步采样可引起两段式SAR,n步采样可引起2n段SAR。因为大面积时的Preston和Pan效应,实际的两步采样可产生三段式种面积关系。此外,我们在探索自然现象的生物学或生态学机制之前,我们应该识别或排除潜在的数学、统计或者采样原因。

关键词: 对数正态分布, 种面积关系幂函数, 物种多度分布, 一步采样, 数学归纳