New computational approaches for branching processes in population biology

群体生物学分支过程的新计算方法

• 批准号: DE150101044
• 负责人: A/Prof Sophie Hautphenne
• 金额: $ 21.73万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2015
• 资助国家: 澳大利亚
• 起止时间: 2015-04-01 至 2019-12-01
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE150101044
• 关键词: New; computational; approaches; branching; processes

Branching processes are powerful modelling tools in population biology. They describe how individuals live and reproduce according to specific probability laws, and can be used to answer a wide range of population-related questions. This project aims to develop new algorithmic methods for a tractable class of branching processes called Markovian binary trees. Following a matrix analytic approach, it will deliver new results on the efficient estimation of model parameters, and on the effects of random environments on population dynamics. These results will be used to study significant problems in evolutionary and conservation biology, thereby establishing the relevance of the developed techniques.

分支过程是种群生物学中强大的建模工具。它们描述了个体如何根据特定的概率规律生活和繁殖，并可用于回答广泛的人口相关问题。该项目旨在开发一种新的算法方法，用于处理一类称为马尔可夫二叉树的分支过程。遵循矩阵分析方法，它将在模型参数的有效估计以及随机环境对种群动态的影响方面提供新的结果。这些结果将用于研究进化和保护生物学中的重大问题，从而建立所开发技术的相关性。