A Look-Down Model with Selection

  • Boubacar Bah
  • Ahmadou Bamba Sow
  • Etienne Pardoux
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 22)

Abstract

The goal of this paper is to study a new version of the look-down construction with selection. We show (see Theorem 1.2) convergence in probability, locally uniformly in t, as the population size N tends to infinity, towards the Wright–Fisher diffusion with selection.

Keywords

Markov Process Poisson Process Death Process Type Individual Infinitesimal Generator 
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Notes

Acknowledgements

This work was partially supported by the ANR MANEGE (contract ANR-09-BLANC-0215-03). The authors wish to thank an anonymous referee, whose excellent and very detailed report permitted us to correct two errors and some imprecisions in an earlier version of this paper.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Boubacar Bah
    • 1
  • Ahmadou Bamba Sow
    • 1
  • Etienne Pardoux
    • 2
  1. 1.LERSTAD, UFR S.A.TUniversité Gaston BergerSaint-LouisSenegal
  2. 2.CMI, LATP-UMR 6632Université de ProvenceMarseille cedex 13France

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