Computational methods for population-size-dependent branching processes

群体大小相关的分支过程的计算方法

• 批准号: DP200101281
• 负责人: A/Prof Sophie Hautphenne
• 金额: $ 26.66万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2020
• 资助国家: 澳大利亚
• 起止时间: 2020-10-01 至 2024-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP200101281
• 关键词: Computational; methods; population; size; dependent

Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.

分支过程是用来模拟随时间随机进化的种群的主要数学工具。该理论中的大多数关键结果都是在简化的假设下得出的，即个体的繁殖和死亡彼此独立。然而，这一假设在大多数现实生活中是失败的，特别是当环境资源有限或栖息地容量有限时。本计画旨在针对一类具相依性的分枝过程，发展新颖且有效的演算技巧与统计方法。我们将利用这些结果来研究大洋洲濒危岛屿鸟类种群保护中的重大问题，并帮助其保护管理。