THE NESTED KINGMAN COALESCENT: SPEED OF COMING DOWN FROM INFINITY
成果类型：
Article
署名作者：
Blancas, Airam; Rogers, Tim; Schweinsberg, Jason; Siri-Jegousso, Arno
署名单位：
Goethe University Frankfurt; University of Bath; University of California System; University of California San Diego; Universidad Nacional Autonoma de Mexico
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/18-AAP1440
发表日期：
2019
页码：
1808-1836
关键词：
摘要：
The nested Kingman coalescent describes the ancestral tree of a population undergoing neutral evolution at the level of individuals and at the level of species, simultaneously. We study the speed at which the number of lineages descends from infinity in this hierarchical coalescent process and prove the existence of an early-time phase during which the number of lineages at time t decays as 2 gamma/ct(2), where c is the ratio of the coalescence rates at the individual and species levels, and the constant gamma approximate to 3.45 is derived from a recursive distributional equation for the number of lineages contained within a species at a typical time.