Resubmission (due to requested amendments): New models for spatially structured populations

重新提交（根据要求的修改）：空间结构人口的新模型

• 批准号: EP/E065945/1
• 负责人: Alison Etheridge
• 金额: $ 16.17万
• 依托单位: University of Oxford
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2007
• 资助国家: 英国
• 起止时间: 2007 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FE065945%2F1
• 关键词: Resubmission; due; requested; amendments; New

There is great interest in understanding genetic diversity in spatially extended populations, bothbecause of the intrinsic interest in population structure and because of the need for realistic statistical models of human sequence variation. Current analyses mainly assume that populationsare restricted to live at points of a lattice at constant density. Yet real populations are not subdivided in this way and nor are they stable over long times. Indeed genetic diversity is shaped primarily bylarge-scale population movements.The principal aim of this project is to investigate the relative effects of short and long range fluctuations on evolving populations. This will be done in the framework of a new mathematical model for evolution in spatially extended populations which explicitly incorporates large scale fluctuations. It includes the classical island and stepping stone models as special cases, but can also be formulated to describe populations evolving in a continuum. Using a combination of analysis and simulation we aim to identify signatures of long-range fluctuations which could be measured in genetic data collected from spatially distributed populations.

有很大的兴趣在理解空间扩展的人群中的遗传多样性，bothbecause在人口结构的内在利益，因为需要现实的人类序列变异的统计模型。目前的分析主要假设人口被限制在一个恒定密度的格子点上。然而，真实的种群并不是以这种方式细分的，它们也不是长期稳定的。事实上，遗传多样性主要是由大规模的人口流动形成的。本项目的主要目的是调查短期和长期波动对进化中的人口的相对影响。这将在一个新的数学模型的框架内，在空间上扩展的人口，明确纳入大规模波动的演变。它包括经典的岛屿和垫脚石模型作为特殊情况，但也可以制定描述人口在一个连续的演变。使用分析和模拟相结合，我们的目标是确定签名的长期波动，可以测量从空间分布的人群中收集的遗传数据。

项目成果

The spatial $\Lambda$-Fleming-Viot process on a large torus: Genealogies in the presence of recombination

大环面上的空间 $Lambda$-Fleming-Viot 过程：存在重组的谱系

• DOI: 10.1214/12-aap842
• 发表时间: 2012
• 期刊: The Annals of Applied Probability
• 作者: Etheridge A

Large scale behaviour of the spatial Lambda-Fleming-Viot process

空间 Lambda-Fleming-Viot 过程的大规模行为

• DOI: 10.48550/arxiv.1107.4254
• 发表时间: 2011
• 作者: Berestycki N