Genealogical ancestors, admixture, and population history

这个项目开发和应用了遗传混合过程的数学模型，重点是了解从混合种群中随机选择的个体的谱系结构。该项目还开发了新的方法，以了解来源群体对混合种群的遗传贡献的时机和规模。这项研究推进了与研究人类种群历史以及其他物种的种群遗传学相关的知识。该项目支持本科生、研究生和博士后的培训和指导；通过共享软件、研讨会和会议开发和传播分析混合物的工具；以及公共和社区科学教育和参与。该项目引入了有助于调查混合物的新数量，研究来自特定来源人口的谱系祖先数量的分布。它使用递归方程在混杂的数学模型中评估这些数量，这些递归方程结合了诸如混杂过程中随时间的变化、多个配偶选择模型以及对混杂种群贡献不同数量的雄性和雌性的来源种群等特征。通过多学科的互动，该项目还将加深对特定人群遗传史的理解。该项目的新模型为人类种群遗传学中的混合研究贡献了数学理论和统计方法。此外，由于非人类物种的混合过程与人类的混合过程在数学上有相似之处，该项目还提供了有助于研究自然和农业种群中的杂交和导入现象的工具。该项目包括来自NSF项目的资金：SBE博士后研究奖学金(SBE/助理主任办公室)、进化过程(生物/环境生物学分部)和数学生物学(MPS/数学科学分部)。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This project develops and applies mathematical models of the process of genetic admixture, with an emphasis on understanding the structure of genealogies for individuals chosen at random from an admixed population. The project also develops new ways of understanding the timing and magnitude of the genetic contributions that have been made by source groups to an admixed population. The research advances knowledge relevant to the study of human population history as well as population genetics in other species. The project supports undergraduate, graduate, and postdoctoral training and mentoring; development and dissemination tools for analyzing admixture through shared software, seminars and conferences; and public and community science education and engagement.The project introduces new quantities useful for investigating admixture, studying distributions of the numbers of genealogical ancestors from specified source populations. It evaluates these quantities in mathematical models of admixture, using recursion equations that incorporate features such as changes over time in the admixture process, multiple models of mate choice, and source populations that contribute different numbers of males and females to the admixed population. Through multidisciplinary interactions, the project will also deepen the understanding of the genetic history of specific populations. The new models from the project contribute mathematical theory and statistical methods to the study of admixture in human population genetics. Further, as admixture processes in non-human species share mathematical similarities with admixture processes in humans, the project additionally contributes tools useful for studying phenomena of hybridization and introgression in natural and agricultural populations. This project includes funding from NSF programs: SBE Postdoctoral Research Fellowships (SBE/Office of the Assistant Director), Evolutionary Processes (BIO/Division of Environmental Biology), and Mathematical Biology (MPS/Division of Mathematical Sciences).This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.