Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Spanò, Dario"'
We show that genealogical trees arising from a broad class of non-neutral models of population evolution converge to the Kingman coalescent under a suitable rescaling of time. As well as non-neutral biological evolution, our results apply to genetic
Externí odkaz:
http://arxiv.org/abs/2406.16465
In this work, we develop excursion theory for the Wright-Fisher diffusion with recurrent mutation. Our construction is intermediate between the classical excursion theory where all excursions begin and end at a single point and the more general appro
Externí odkaz:
http://arxiv.org/abs/2309.16271
Mathematical models of genetic evolution often come in pairs, connected by a so-called duality relation. The most seminal example are the Wright-Fisher diffusion and the Kingman coalescent, where the former describes the stochastic evolution of neutr
Externí odkaz:
http://arxiv.org/abs/2306.03539
The Wright--Fisher diffusion is important in population genetics in modelling the evolution of allele frequencies over time subject to the influence of biological phenomena such as selection, mutation, and genetic drift. Simulating paths of the proce
Externí odkaz:
http://arxiv.org/abs/2301.05459
Publikováno v:
In Stochastic Processes and their Applications January 2025 179
Publikováno v:
In Theoretical Population Biology April 2024 156:40-45
Publikováno v:
Stochastic processes and their applications 179, 104500, 2024
The two-parameter Poisson-Dirichlet diffusion takes values in the infinite ordered simplex and extends the celebrated infinitely-many-neutral-alleles model, having a two-parameter Poisson-Dirichlet stationary distribution. Here we identify a dual pro
Externí odkaz:
http://arxiv.org/abs/2102.08520
The Ancestral Selection Graph (ASG) is an important genealogical process which extends the well-known Kingman coalescent to incorporate natural selection. We show that the number of lineages of the ASG with and without mutation is asymptotic to $2/t$
Externí odkaz:
http://arxiv.org/abs/2012.10316
A number of discrete time, finite population size models in genetics describing the dynamics of allele frequencies are known to converge (subject to suitable scaling) to a diffusion process in the infinite population limit, termed the Wright-Fisher d
Externí odkaz:
http://arxiv.org/abs/2001.03527
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 allel
Externí odkaz:
http://arxiv.org/abs/1903.12121