A Diffusion-Based Approach for Simulating Forward-in-Time State-Dependent Speciation and Extinction Dynamics
A Diffusion-Based Approach for Simulating Forward-in-Time State-Dependent Speciation and Extinction Dynamics
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DOI：
10.1007/s11538-024-01337-6
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发表时间：
2024-08-01
影响因子：
3.5
通讯作者：
Landis，Michael J.
中科院分区：
文献类型：
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作者：
Soewongsono，Albert C.;Landis，Michael J.
我们建立了一个通用的框架，使用扩散近似来模拟在时间上向前的状态计数或频率的分支状态依赖的物种灭绝（ClaSSE）模型。我们将该框架应用于各种两个和三个区域的地理状态物种灭绝（GeoSSE）模型。我们表明，基于树和基于扩散的过程下模拟的物种范围状态动力学是可比的。我们推导出一种方法来推断速率参数，是兼容给定的观察到的稳态频率，并获得一个分析结果，计算稳态频率为一组给定的速率参数。我们还描述了一个过程，找到时间达到一个ClaSSE模型的平稳频率使用我们的基于扩散的方法，我们使用一个工作的例子，两个区域GeoSSE模型证明。最后，我们讨论了如何扩散框架可以应用到形式化的状态依赖多样化的情况下的演化模式和过程之间的关系。
We establish a general framework using a diffusion approximation to simulate forward-in-time state counts or frequencies for cladogenetic state-dependent speciation-extinction (ClaSSE) models. We apply the framework to various two- and three-region geographic-state speciation-extinction (GeoSSE) models. We show that the species range state dynamics simulated under tree-based and diffusion-based processes are comparable. We derive a method to infer rate parameters that are compatible with given observed stationary state frequencies and obtain an analytical result to compute stationary state frequencies for a given set of rate parameters. We also describe a procedure to find the time to reach the stationary frequencies of a ClaSSE model using our diffusion-based approach, which we demonstrate using a worked example for a two-region GeoSSE model. Finally, we discuss how the diffusion framework can be applied to formalize relationships between evolutionary patterns and processes under state-dependent diversification scenarios.