Flores J C
Instituto de Alta Investigación IAI, Universidad de Tarapacá, Casilla 7-D, Arica, Chile.
Acta Biotheor. 2016 Mar;64(1):85-98. doi: 10.1007/s10441-016-9275-2. Epub 2016 Jan 22.
This work applies the competitive exclusion principle and the concept of potential competitors as simple axiomatic tools to generalized situations in ecology. These tools enable apparent competition and its dual counterpart to be explicitly evaluated in poorly understood ecological systems. Within this set-theory framework we explore theoretical symmetries and invariances, De Morgan's laws, frozen evolutionary diversity and virtual processes. In particular, we find that the exclusion principle compromises the geometrical growth of the number of species. By theoretical extending this principle, we can describe interspecific depredation in the dual case. This study also briefly considers the debated situation of intraspecific competition. The ecological consequences of our findings are discussed; particularly, the use of our framework to reinterpret coupled mathematical differential equations describing certain ecological processes.
这项工作将竞争排斥原理以及潜在竞争者的概念作为简单的公理工具应用于生态学中的一般情形。这些工具能够在理解不足的生态系统中对表观竞争及其对偶情形进行明确评估。在这个集合论框架内，我们探索理论对称性和不变性、德摩根定律、固定的进化多样性以及虚拟过程。特别地，我们发现排斥原理会影响物种数量的几何增长。通过理论上对这一原理的扩展，我们能够在对偶情形中描述种间捕食。本研究还简要考虑了种内竞争这一存在争议的情形。我们讨论了研究结果的生态后果；尤其是利用我们的框架重新解释描述某些生态过程的耦合数学微分方程。
