生态系统集合的统计力学
Statistical mechanics of ecosystem assembly
摘要：
我们介绍了一个玩具模型的生态系统组装，我们能够绘制出所有的组装路径所产生的外部入侵。该模型允许显示整个相空间的形式的组装图的节点是社区的物种和其有向链接是它们之间的过渡引起的入侵。我们的特点是作为一个有限的马尔可夫链的过程，并证明它具有一个独特的一组经常性的状态（过程的最终状态），因此是抵抗入侵。这也表明结束状态独立于装配历史。该模型与文献中报道的标准装配模型共享所有功能，其优点是所有可观测量都可以以精确的方式计算。
英文摘要：
We introduce a toy model of ecosystem assembly for which we are able to map out all assembly pathways generated by external invasions. The model allows to display the whole phase space in the form of an assembly graph whose nodes are communities of species and whose directed links are transitions between them induced by invasions. We characterize the process as a finite Markov chain and prove that it exhibits a unique set of recurrent states (the endstate of the process), which is therefore resistant to invasions. This also shows that the endstate is independent on the assembly history. The model shares all features with standard assembly models reported in the literature, with the advantage that all observables can be computed in an exact manner.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
