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一种基于扩散的方法来模拟前进的状态依赖的物种化和灭绝动态

Albert C Soewongsono¹, Michael J Landis²

¹Department of Biology, Washington University in St. Louis, Rebstock Hall, St. Louis, MO, 63130, USA. soewongsono@wustl.edu.

Bulletin of mathematical biology

|July 6, 2024

概括

本研究引入了一个扩散近似框架,用于模拟克拉多基因状态依赖的物种灭绝 (ClaSSE) 模型. 新方法允许推断速率参数和计算静态频率,帮助进化模式分析.

科学领域:

进化生物学进化生物学
计算生物学计算生物学
人类遗传学是一个学科.

背景情况:

国家依赖的多样化模型对于理解进化过程至关重要.
模拟这些模型,特别是克拉多遗传状态依赖的物种灭绝 (ClaSSE) 模型,可能是计算密集的.
现有的方法可能无法有效地处理复杂场景的前时间模拟或参数推理.

研究的目的:

为模拟 ClaSSE 模型中的状态计数开发一个一般的扩散近似框架.
将这个框架应用于地理状态物种化-灭绝 (GeoSSE) 模型.
推导和计算速率参数和静态状态频率的方法.

主要方法:

使用扩散近似方法进行前进时间模拟.
将框架应用于两个和三个区域的GeoSSE模型.
衍生分析方法用于参数推断和静态频率计算.

主要成果:

证明了物种范围动态的基于树的和基于扩散的模拟之间的可比性.
从观察到的静态状态频率推断速率参数的方法.
为计算给定速率参数的静态状态频率提供了分析解决方案.
开发了一种程序来确定到达静止频率的时间.

结论:

扩散框架提供了一个强大而有效的工具来模拟和分析依赖国家多样化的多样化.
衍生方法促进参数估计和理解在不同多样化速率下演变动态.
这种方法可以在依赖状态的场景中正式化进化模式和过程之间的关系.

关键词:

分支的过程分支过程.扩散过程是扩散过程.进化进化进化进化进化进化进化灭绝的灭绝灭绝的灭绝规格规格规格规格静止频率是指静止频率的频率.

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