Evolution processes of multiple competitive and non-competitive species have traditionally been handled using different methods. In particular, evolution processes of multiple competitive species have usually been evaluated by the continuous and discrete proportions analysis; however, such evolution processes cannot be solely characterized by their relative proportions in practice. In this paper, we introduce a community based Poisson model with multivariate random effects to explicitly characterize marginal counts and respective proportions simultaneously. Furthermore, our method provides a unified approach to handle evolution processes of competitive and non-competitive species. In fact, the existence and strength of the competition among species can be assessed through our approach. Unlike those marginal modelling methods, our approach explicitly predicts random effects. Our model inference does not rely on distributional assumption of observed multivariate random effects, and thus is more robust than traditional approaches assuming parametric random effects.

传统上，使用不同的方法来处理多个竞争性和非竞争性物种的进化过程。特别是，通常通过连续和离散比例分析来评估多种竞争物种的进化过程。然而，这种进化过程在实践中不能仅仅通过它们的相对比例来表征。在本文中，我们引入具有多元随机效应的基于社区的Poisson模型，以同时明确表征边际计数和各个比例。此外，我们的方法提供了处理竞争性和非竞争性物种进化过程的统一方法。实际上，可以通过我们的方法评估物种之间竞争的存在和强度。与那些边际建模方法不同，我们的方法明确预测了随机效应。我们的模型推论不依赖于观察到的多元随机效应的分布假设，因此比假设参数随机效应的传统方法更可靠。