Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

The impact of selection in the Λ-Wright-Fisher model (1305.7106v2)

Published 30 May 2013 in math.PR

Abstract: The purpose of this article is to study some asymptotic properties of the \Lambda-Wright-Fisher process with selection. This process represents the frequency of a disadvantaged allele. The resampling mechanism is governed by a finite measure \Lambda on [0,1] and the selection by a parameter \alpha. When the measure \Lambda verifies \int_01-\log(1-x)x{-2} \Lambda(dx)<\infty, some particular behaviours in the frequency of the allele can occur. The selection coefficient \alpha may be large enough to compensate the random genetic drift. In other words, for certain selection pressure, the disadvantaged allele will vanish asymptotically. This phenomenon cannot occur in the classical Wright-Fisher diffusion. We study the dual process of the \Lambda-Wright-Fisher process with selection and prove this result through martingale arguments.

Summary

We haven't generated a summary for this paper yet.