THE EFFECTIVE STRENGTH OF SELECTION IN RANDOM ENVIRONMENT

• 成果类型: Article
• 署名作者: Casanova, ADRIaN GONZaLEZ; Spano, Dario; Wilke-berenguer, Maite
• 署名单位: Arizona State University; Arizona State University-Tempe; University of Warwick; Humboldt University of Berlin
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/24-AAP2127
• 发表日期: 2025
• 页码: 701-748
• 关键词: state branching-processes; Duality; coalescent; intensities; extinction

摘要

We analyse a family of two-types Wright-Fisher models with selection in a random environment and skewed offspring distribution. We provide a calculable criterion to quantify the impact of different shapes of selection on the fate of the weakest allele, and thus compare them. The main mathematical tool is duality, which we prove to hold, also in presence of random environment (quenched and in some cases annealed), between the population's allele frequencies and genealogy, both in the case of finite population size and in the scaling limit for large size. Duality also yields new insight on properties of branching-coalescing processes in random environment, such as their longterm behaviour.