Sabin Lessard

Summary

Country: Canada

Publications

  1. pmc Fixation probability in a two-locus model by the ancestral recombination-selection graph
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, Quebec H3C 3J7, Canada
    Genetics 190:691-707. 2012
  2. ncbi The probability of fixation of a single mutant in an exchangeable selection model
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, QC H3C 3J7, Canada
    J Math Biol 54:721-44. 2007
  3. pmc An exact sampling formula for the Wright-Fisher model and a solution to a conjecture about the finite-island model
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, Quebec H3C 3J7, Canada
    Genetics 177:1249-54. 2007
  4. ncbi Long-term stability from fixation probabilities in finite populations: new perspectives for ESS theory
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128, Succursale Centre Ville, Montreal, Que, Canada H3C 3J7
    Theor Popul Biol 68:19-27. 2005
  5. pmc Kin selection is implicated in partial sib-mating populations with constant viability differences before mating
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, Quebec H3C 3J7, Canada
    Genetics 171:407-13. 2005
  6. pmc Cooperation is less likely to evolve in a finite population with a highly skewed distribution of family size
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128, Succursale Centre Ville, Montreal, Quebec, Canada H3C 3J7
    Proc Biol Sci 274:1861-5. 2007
  7. ncbi Kin selection and coefficients of relatedness in family-structured populations with inbreeding
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128, Succursale Centre Ville, Montreal, Que, Canada H3C 3J7
    Theor Popul Biol 66:287-306. 2004
  8. doi Diffusion approximations for one-locus multi-allele kin selection, mutation and random drift in group-structured populations: a unifying approach to selection models in population genetics
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, QC, Canada
    J Math Biol 59:659-96. 2009
  9. ncbi The two-locus ancestral graph in a subdivided population: convergence as the number of demes grows in the island model
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Canada
    J Math Biol 48:275-92. 2004
  10. doi Fixation probability with multiple alleles and projected average allelic effect on selection
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal Quebec, Canada
    Theor Popul Biol 75:266-77. 2009

Detail Information

Publications21

  1. pmc Fixation probability in a two-locus model by the ancestral recombination-selection graph
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, Quebec H3C 3J7, Canada
    Genetics 190:691-707. 2012
    ..This supports Muller's ratchet mechanism to explain the accumulation of deleterious mutants in a population lacking recombination...
  2. ncbi The probability of fixation of a single mutant in an exchangeable selection model
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, QC H3C 3J7, Canada
    J Math Biol 54:721-44. 2007
    ..This approximation is consistent with a diffusion approximation under moment conditions on the number of descendants of a single individual in one time step. Applications to evolutionary game theory in finite populations are presented...
  3. pmc An exact sampling formula for the Wright-Fisher model and a solution to a conjecture about the finite-island model
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, Quebec H3C 3J7, Canada
    Genetics 177:1249-54. 2007
    ..The proof of the conjecture confirms an analogy between the island model and a random-mating population, but with a different timescale that has implications for estimation procedures...
  4. ncbi Long-term stability from fixation probabilities in finite populations: new perspectives for ESS theory
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128, Succursale Centre Ville, Montreal, Que, Canada H3C 3J7
    Theor Popul Biol 68:19-27. 2005
    ..In the case of sex allocation, continuous stability of an even sex ratio is ascertained. If sex allocation is random, an evolutionary decrease of the variance is predicted...
  5. pmc Kin selection is implicated in partial sib-mating populations with constant viability differences before mating
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, Quebec H3C 3J7, Canada
    Genetics 171:407-13. 2005
    ....
  6. pmc Cooperation is less likely to evolve in a finite population with a highly skewed distribution of family size
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128, Succursale Centre Ville, Montreal, Quebec, Canada H3C 3J7
    Proc Biol Sci 274:1861-5. 2007
    ..This suggests that the evolution of cooperation is made more difficult in populations with a highly skewed distribution of family size. This is illustrated by two examples...
  7. ncbi Kin selection and coefficients of relatedness in family-structured populations with inbreeding
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128, Succursale Centre Ville, Montreal, Que, Canada H3C 3J7
    Theor Popul Biol 66:287-306. 2004
    ....
  8. doi Diffusion approximations for one-locus multi-allele kin selection, mutation and random drift in group-structured populations: a unifying approach to selection models in population genetics
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, QC, Canada
    J Math Biol 59:659-96. 2009
    ..The timing of dispersal (before or after selection, before or after mating) is shown to have an effect on group competition and the effective population size...
  9. ncbi The two-locus ancestral graph in a subdivided population: convergence as the number of demes grows in the island model
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Canada
    J Math Biol 48:275-92. 2004
    ..Simulations imply that convergence to a rescaled panmictic ancestral recombination graph occurs for any number of sites as the number of demes approaches infinity...
  10. doi Fixation probability with multiple alleles and projected average allelic effect on selection
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal Quebec, Canada
    Theor Popul Biol 75:266-77. 2009
    ..This explains the one-third law of evolutionary dynamics in this domain, and shows how this law can be extended beyond this domain...
  11. ncbi Change in frequency of a rare mutant allele: a general formula and applications to partial inbreeding models
    Sabin Lessard
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128, Succursale Centre Ville, Montreal Quebec, Canada H3C 3J7
    J Math Biol 46:71-94. 2003
    ..This is interpreted as a kin selection effect caused by inbreeding per se...
  12. ncbi Fixation probability for a beneficial allele and a mutant strategy in a linear game under weak selection in a finite island model
    Véronique Ladret
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128 Succursale Centre Ville, Montreal, Quebec, Canada H3C 3J7
    Theor Popul Biol 72:409-25. 2007
    ..Conditions for selection to favor a mutant strategy replacing a resident strategy in the context of a linear game in a finite island population are addressed...
  13. doi Evolutionary game dynamics in a finite asymmetric two-deme population and emergence of cooperation
    Véronique Ladret
    Centre de recherche du CHU Sainte Justine, 3175 Cote Ste Catherine, Montreal, Quebec, Canada H3T1C5
    J Theor Biol 255:137-51. 2008
    ..On the other hand, the condition is less stringent than the one-third law, which holds in the panmictic case, if the latter proportion remains not too close to 1...
  14. ncbi Gene mapping via the ancestral recombination graph
    Fabrice Larribe
    Departement de Mathematiques et de Statistique, Universite de Montreal, C P 6128, Succursale Centre Ville, Montreal, Quebec, Canada, H3C 3J7
    Theor Popul Biol 62:215-29. 2002
    ..Although the method is computationally intensive and variation in the likelihood profiles can occur, the method offers a great deal of promise...
  15. doi Effect of epistasis and linkage on fixation probability in three-locus models: an ancestral recombination-selection graph approach
    Amir R Kermany
    Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal Quebec H3C 3J7, Canada
    Theor Popul Biol 82:131-45. 2012
    ..The recombination rates between the modifier locus and the selected loci do not come into play in the leading terms of the approximation for the fixation probability, but they do in higher-order terms...
  16. ncbi Frequency-dependent selection in sexual family-structured populations
    Yi Tao
    Department of Mathematics and Statistics, University of Montreal, C P 6128, Suc Centre Ville, Montreal, Quebec, H3C 3J7, Canada
    J Theor Biol 217:525-34. 2002
    ..Moreover, under the assumption of weak selection, the partial change in phenotype frequencies brings the population closer to an ESS when it exists...
  17. ncbi Ewens' sampling formula and related formulae: combinatorial proofs, extensions to variable population size and applications to ages of alleles
    Robert C Griffiths
    Department of Statistics, University of Oxford, 1 South Parks Rd, Oxford OX1 3TG, UK
    Theor Popul Biol 68:167-77. 2005
    ..n; and in the population the connection is with ladder heights and indices in a sequence of independent uniform random variables...
  18. doi A composite-conditional-likelihood approach for gene mapping based on linkage disequilibrium in windows of marker loci
    Fabrice Larribe
    Universite du Quebec a Montreal
    Stat Appl Genet Mol Biol 7:Article27. 2008
    ..Moreover, when compared with some other recent methods under the same assumptions, the CCL approach proves to be competitive...
  19. ncbi Sex ratio evolution through group selection using diffusion approximation
    Josiane Courteau
    Centre de Recherche Clinique, Centre Hospitalier Universitaire de Sherbrooke, Sherbrooke, Quebec, Canada J1H 5N4
    J Math Biol 48:340-56. 2004
    ..Numerical studies are presented to check the validity and accuracy of this prediction...
  20. pmc Theory of the effects of population structure and sampling on patterns of linkage disequilibrium applied to genomic data from humans
    John Wakeley
    Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, Massachusetts 02138, USA
    Genetics 164:1043-53. 2003
    ....
  21. ncbi Corridors for migration between large subdivided populations, and the structured coalescent
    John Wakeley
    Department of Organismic and Evolutionary Biology, Harvard University, 2102 Biological Laboratories, Cambridge, MA 02138, USA
    Theor Popul Biol 70:412-20. 2006
    ..This justifies the application of a modified structured coalescent to some hierarchically structured populations...