## Research Topics- genetic models
- linkage disequilibrium
- competitive behavior
- population dynamics
- genetic epistasis
- environment
- genetic recombination
- evolution
- diploidy
- population genetics
- heritable quantitative trait
- genetic polymorphism
- gene frequency
- haploidy
- biological adaptation
- genotype
- computer assisted numerical analysis
- alleles
- algorithms
- quantitative trait loci
- population density
- demography
- reproduction
- statistical models
- species specificity
- phenotype
- normal distribution
- dominant genes
| ## Reinhard Burger## SummaryAffiliation: University of Vienna Country: Austria ## Publications- Genetic variation maintained in multilocus models of additive quantitative traits under stabilizing selectionR Burger
Institut für Mathematik, Universitat Wien, A 1090 Vienna, Austria*Genetics*152:807-20. 1999 - The effects of linkage and gene flow on local adaptation: a two-locus continent-island modelReinhard Burger
Department of Mathematics, University of Vienna, Austria*Theor Popul Biol*80:272-88. 2011 - Evolution and polymorphism in the multilocus Levene model with no or weak epistasisReinhard Burger
Department of Mathematics, University of Vienna, Austria*Theor Popul Biol*78:123-38. 2010 - Polymorphism in the two-locus Levene model with nonepistatic directional selectionReinhard Burger
Department of Mathematics, University of Vienna, Austria*Theor Popul Biol*76:214-28. 2009 - Multilocus selection in subdivided populations II. Maintenance of polymorphism under weak or strong migrationReinhard Burger
Department of Mathematics, University of Vienna, Vienna, Austria*J Math Biol*58:979-97. 2009 - Multilocus selection in subdivided populations I. Convergence properties for weak or strong migrationReinhard Burger
Department of Mathematics, University of Vienna, Vienna, Austria*J Math Biol*58:939-78. 2009 - The conditions for speciation through intraspecific competitionReinhard Burger
Department of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Vienna, Austria*Evolution*60:2185-206. 2006 - Intraspecific competitive divergence and convergence under assortative matingReinhard Burger
Department of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Vienna, Austria*Am Nat*167:190-205. 2006 - A multilocus analysis of intraspecific competition and stabilizing selection on a quantitative traitReinhard Burger
Department of Mathematics, University of Vienna, Austria*J Math Biol*50:355-96. 2005 - The effects of intraspecific competition and stabilizing selection on a polygenic traitReinhard Burger
Department of Mathematics, University of Vienna, A 1090 Vienna, Austria*Genetics*167:1425-43. 2004
| ## Collaborators |

## Detail Information

### Publications

- Genetic variation maintained in multilocus models of additive quantitative traits under stabilizing selectionR Burger

Institut für Mathematik, Universitat Wien, A 1090 Vienna, Austria*Genetics*152:807-20. 1999..The expected genetic variance, the expected polymorphic fraction of the genome, as well as other quantities of interest, are only weakly dependent on the selection intensity and the level of recombination... - The effects of linkage and gene flow on local adaptation: a two-locus continent-island modelReinhard Burger

Department of Mathematics, University of Vienna, Austria*Theor Popul Biol*80:272-88. 2011..We discuss possible consequences for the evolution of genetic architecture, in particular, for the emergence of clusters of tightly linked, slightly beneficial mutations and the evolution of recombination and chromosome inversions... - Evolution and polymorphism in the multilocus Levene model with no or weak epistasisReinhard Burger

Department of Mathematics, University of Vienna, Austria*Theor Popul Biol*78:123-38. 2010..e., by nonepistatic loci with dominance. Some of our results are exemplified in this quantitative-genetic context... - Polymorphism in the two-locus Levene model with nonepistatic directional selectionReinhard Burger

Department of Mathematics, University of Vienna, Austria*Theor Popul Biol*76:214-28. 2009..If the favorable allele is (partially) dominant in its deme, more than 20% of all parameter combinations lead to a globally asymptotically stable, fully polymorphic equilibrium... - Multilocus selection in subdivided populations II. Maintenance of polymorphism under weak or strong migrationReinhard Burger

Department of Mathematics, University of Vienna, Vienna, Austria*J Math Biol*58:979-97. 2009..Thus, several scenarios are identified under which multilocus polymorphism can be maintained by migration-selection balance when this is impossible in a panmictic population... - Multilocus selection in subdivided populations I. Convergence properties for weak or strong migrationReinhard Burger

Department of Mathematics, University of Vienna, Vienna, Austria*J Math Biol*58:939-78. 2009..In both cases, every trajectory converges to an equilibrium, thus no cycling or complicated dynamics can occur... - The conditions for speciation through intraspecific competitionReinhard Burger

Department of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Vienna, Austria*Evolution*60:2185-206. 2006..On the methodological side, we propose quantitative measures for deciding whether a given distribution reflects two (or more) reproductively isolated clusters... - Intraspecific competitive divergence and convergence under assortative matingReinhard Burger

Department of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Vienna, Austria*Am Nat*167:190-205. 2006..Even then, the evolutionary outcome depends on the genetics and the initial conditions. The roles of the number of loci, of linkage, and of asymmetric selection are also explored... - A multilocus analysis of intraspecific competition and stabilizing selection on a quantitative traitReinhard Burger

Department of Mathematics, University of Vienna, Austria*J Math Biol*50:355-96. 2005..For two loci, the effects of linkage are investigated analytically; for several loci, they are studied numerically... - The effects of intraspecific competition and stabilizing selection on a polygenic traitReinhard Burger

Department of Mathematics, University of Vienna, A 1090 Vienna, Austria*Genetics*167:1425-43. 2004..Consequences for the maintenance of genetic variation, the detection of disruptive selection, and models of sympatric speciation are discussed... - Fluctuating environments and the role of mutation in maintaining quantitative genetic variationReinhard Burger

Department of Mathematics, University of Vienna, Vienna, Austria*Genet Res*80:31-46. 2002..We investigate how the genetic variation maintained depends on the ecological parameters and on the underlying genetics... - Additive genetic variation under intraspecific competition and stabilizing selection: a two-locus studyReinhard Burger

Institut für Mathematik, Universitat Wien, A 1090 Wien, Austria*Theor Popul Biol*61:197-213. 2002..For unequal effects, disruptive selection can be observed for weaker competition and in the absence of a stable polymorphism... - Evolution of genetic variability and the advantage of sex and recombination in changing environmentsR Burger

Institut für Mathematik, Universitat Wien, A 1090 Wien, Austria and International Institute of Applied Systems Analysis, A 2361 Laxenburg, Austria*Genetics*153:1055-69. 1999..In particular, it is elucidated how this change in genetic variance depends on the reproductive system, the population size, and the selective regime, and what the consequences for population persistence are... - The two-locus model of Gaussian stabilizing selectionMartin Willensdorfer

Department of Mathematics, University of Vienna, Vienna, Austria*Theor Popul Biol*64:101-17. 2003..The results are compared with previous analyses of the special case of extremely strong selection, of an approximate model that assumes linkage equilibrium, and of the much simpler quadratic optimum model... - Evolution of dominance under frequency-dependent intraspecific competitionStephan Peischl

Department of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria*J Theor Biol*251:210-26. 2008..It also demonstrates that an invasion analysis of mutants of very small effect is insufficient to obtain a full understanding of the evolutionary dynamics under frequency-dependent selection... - The consequences of gene flow for local adaptation and differentiation: a two-locus two-deme modelAda Akerman

Department of Mathematics, University of Vienna, Nordbergstrasse 15, 1090, Vienna, Austria*J Math Biol*68:1135-98. 2014..Finally, the influence of linkage and two-way migration on the effective migration rate at a linked neutral locus is explored. Numerical work complements our analytical results. .. - The consequences of dominance and gene flow for local adaptation and differentiation at two linked lociAda Akerman

Department of Mathematics, University of Vienna, Austria Electronic address*Theor Popul Biol*94:42-62. 2014..Explicit expressions for QST and two types of FST at equilibrium are deduced and their relation is discussed. ..