生态学中的复杂性-稳定性之争、化学组织理论和非经典结构的确定
The Complexity-Stability Debate, Chemical Organization Theory, and the Identi cation of Non-Classical Structures in Ecology
摘要：
我们提出了一种新的方法来表示生态系统的反应网络，并显示一个特定的框架称为化学组织理论（COT）揭示了长期的复杂性稳定性的辩论。也就是说，COT提供了一个新的概念景观丰富的分析工具，探索生态系统的结构和稳定性之间的相互作用。给定一个大的物种及其相互作用的集合，COT以计算上可行的方式识别每个封闭和自我维护的物种子集合。这些子集合，称为组织，对应于可以长期共同生存（共存）的物种群体。因此，组织集合包含了生态系统动态中可能发生的所有稳定状态。从这里，我们建议从组织的性质来构思稳定性的概念，从而将反应网络稳定性的大量知识应用于复杂性-稳定性的辩论。作为COT引入新的数学工具的潜力的一个例子，我们表明，一组组织可以配备合适的联合和满足运营商，并为某些生态系统的组织结构是一个非布尔格，以这种方式提供了一个意想不到的逻辑代数结构之间的连接，流行的量子理论的基础，和生态学。
英文摘要：
We present a novel approach to represent ecological systems using reaction networks, and show how a particular framework called Chemical Organization Theory (COT) sheds new light on the longstanding complexity-stability debate. Namely, COT provides a novel conceptual landscape plenty of analytic tools to explore the interplay between structure and stability of ecological systems. Given a large set of species and their interactions, COT identifies, in a computationally feasible way, each and every sub-collection of species that is closed and self-maintaining. These sub-collections, called organizations, correspond to the groups of species that can survive together (co-exist) in the long-term. Thus, the set of organizations contains all the stable regimes that can possibly happen in the dynamics of the ecological system. From here, we propose to conceive the notion of stability from the properties of the organizations, and thus apply the vast knowledge on the stability of reaction networks to the Complexity-Stability debate. As an example of the potential of COT to introduce new mathematical tools, we show that the set of organizations can be equipped with suitable joint and meet operators, and that for certain ecological systems the organizational structure is a non-boolean lattice, providing in this way an unexpected connection between logico-algebraic structures, popular in the foundations of quantum theory, and ecology.
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