3 papers
math.PR2025
Quenched coalescent for diploid population models with selfing and overlapping generations
Louis Wai-Tong Fan, Maximillian Newman, John Wakeley
We introduce a general diploid population model with self-fertilization and possible overlapping generations, and study the genealogy of a sample of genes as the population siz…
math.PR2025
A conditional coalescent for diploid exchangeable population models given the pedigree
Frederic Alberti, Matthias Birkner, Wai-Tong Louis Fan +1
We study coalescent processes conditional on the population pedigree under the exchangeable diploid bi-parental population model of \citet{BirknerEtAl2018}. While classical coalesc…
q-bio.PE2025
Conditional gene genealogies given the population pedigree for a diploid Moran model with selfing
Maximillian Newman, John Wakeley, Wai-Tong Louis Fan
We introduce a stochastic model of a population with overlapping generations and arbitrary levels of self-fertilization versus outcrossing. We study how the global graph of reprodu…