High-order correlations in species interactions lead to complex diversity-stability relationships for ecosystems.
High-order correlations in species interactions lead to complex diversity-stability relationships for ecosystems.
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DOI：
10.1103/physreve.105.014406
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发表时间：
2022-01
影响因子：
2.4
通讯作者：
Dunn, Alexander R.
中科院分区：
文献类型：
--
作者：
Korkmazhan, Elgin;Dunn, Alexander R.
生态系统如何维持稳定是一个活跃的研究领域。受随机矩阵理论在核物理中应用的启发，梅几十年前表明，在一个由许多随机相互作用的物种组成的生态系统模型中，增加物种多样性会降低生态系统的稳定性。自那以后，梅的努力增加了许多内容，其中之一是更好地理解了物种对之间的互惠、竞争或捕食者-猎物类关联的影响。在这里，我们扩展了一种在自旋玻璃理论背景下发展起来的随机矩阵技术来研究物种间相互作用的高阶关联的影响。由此得到的可解析的模型包括物种相互作用网络中的次近邻关联，例如我的敌人的敌人就是我的朋友，以及更高阶的关联。我们发现与May和其他人的模型有质的不同，包括非单调的多样性-稳定性关系。此外，在捕食者-被捕食者-猎物中加入特定的次近邻相关性，而不是互惠竞争网络，会使前者在物种多样性较高时过渡到更稳定。我们讨论了我们的结果对微生物群工程和解释者相互作用的生态学的潜在适用性，例如狮子和鬣狗之间的幼崽捕食以及人和狗之间的伴侣关系。
How ecosystems maintain stability is an active area of research. Inspired by applications of random matrix theory in nuclear physics, May showed decades ago that in an ecosystem model with many randomly interacting species, increasing species diversity decreases the stability of the ecosystem. There have since been many additions to May’s efforts, one being an improved understanding the effect of mutualistic, competitive, or predator-prey-like correlations between pairs of species. Here we extend a random matrix technique developed in the context of spin-glass theory to study the effect of high-order correlations among species interactions. The resulting analytically solvable models include next-to-nearest-neighbor correlations in the species interaction network, such as the enemy of my enemy is my friend, as well as higher-order correlations. We find qualitative differences from May and others’ models, including nonmonotonic diversity-stability relationships. Furthermore, inclusion of particular next-to-nearest-neighbor correlations in predator-prey as opposed to mutualist-competitive networks causes the former to transition to being more stable at higher species diversity. We discuss potential applicability of our results to microbiota engineering and to the ecology of interpredator interactions, such as cub predation between lions and hyenas as well as companionship between humans and dogs.