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nonlinear analysis of a phenotypic model. Evolution
40, 182-193 (1986)
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R: Evolutionary dynamics of functionally constrained phenotypic characters. IMA J. of Math. Appl. Med. Biol. 3,
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continuum-of-alleles model. J. Math.
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R: Perturbations of positive semigroups and applications to population
genetics. Math. Zeitschrift
197, 259-272 (1988)
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R: The maintenance of genetic variation: A functional analytic approach to
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R, Wagner GP, Stettinger F: How much heritable
variation can be maintained in finite populations by mutation-selection
balance? Evolution 43, 1748-1766
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R: Linkage and the maintenance of heritable variation by mutation-selection
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R: Mutation-selection models in population genetics and evolutionary game
theory. Acta Applicandae Mathematicae 14, 75-89 (1989)
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O, Bürger R, Leach CR: The heritability of fitness: some single gene models. Theoret. Appl. Genetics 79, 278-284 (1990)
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O, Leach CR, Bürger R: Quantitatively determined self-incompatibility II.
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R: An Integro-differential equation from population
genetics and perturbations of differentiable semigroups in Fréchet
spaces. Proc. Royal Soc. Edinb. 118A, 63-73 (1991)
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R: Unbounded one-parameter semigroups, Fréchet spaces
and applications. In: Semigroup Theory
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W, Bürger R: Population extinction by mutational load and demographic stochasticity. In: Species
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eds.), pp. 49-60.
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R: Moments, cumulants, and polygenic dynamics. J. Math. Biol. 30, 199-213 (1991)
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W, Bürger R: Survival of small populations under demographic stochasticity. Theor. Popul. Biol. 41, 44-71 (1992)
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kleiner Populationen: Markov-Ketten und
Monte-Carlo-Simulationen als komplementäre Ansätze. In: Fortschritte der Simulation in Medizin, Biologie and
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R: Predictions of the dynamics of a polygenic character under directional
selection. J. Theor.
Biol. 162, 487-513 (1993)
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mutation and frequency-dependent selection in evolutionary game dynamics. In: Evolution Equations, Control Theory, and
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pp. 11-23.
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M, Bürger R, Butcher D, Gabriel W: The mutational meltdown in asexual
populations. J. Heredity 84, 339-344
(1993)
[26] Gabriel
W, Lynch M, Bürger R: Muller's ratchet and mutational meltdowns. Evolution 47, 1744-1757 (1993)
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R, Hofbauer J: Mutation load and
mutation-selection-balance in quantitative genetic traits. J. Math. Biol. 32, 193-218 (1994)
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W, Bürger R: Extinction risk by mutational meltdown: synergistic effects
between population regulation and genetic drift. In: Conservation Genetics (V. Loeschke, J. Tomiuk,
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R, Lande R: On the distribution of the mean and
variance of a quantitative trait under mutation-selection-drift balance. Genetics 138, 901-912 (1994)
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R, Ewens WJ: Fixation probabilities of additive alleles
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33, 557-575 (1995)
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R, Lynch M: Evolution and extinction in a changing environment: a quantitative
genetic analysis. Evolution 49,
151-163 (1995)
[32] Lynch
M, Conery J, Bürger R: Mutational meltdowns in sexual
populations. Evolution 49, 1067-1080
(1995)
[33] Lynch
M, Conery J, Bürger R: Mutation accumulation and the
extinction of small populations. Amer. Natur. 146, 489-518 (1995)
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mutation in evolutionary games. Games and
Economic Behavior 11, 146-172 (1995)
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R, Bomze IM: Stationary distributions under
mutation-selection balance: structure and properties. Adv. Appl. Prob. 28, 227-251 (1996)
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O, Bürger R: The evolution of dominance: A theory whose time has passed? Biol. Rev. 27, 97-110 (1997)
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R, Lynch M: Adaptation and extinction in changing environments. In: Stress, Adaptation, and Evolution (R. Bijlsma and V. Loeschke, eds.), pp. 209-239.
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R, Gimelfarb A: Genetic variation maintained in multilocus models of additive quantitative traits under
stabilizing selection. Genetics 152,
807-820 (1999)
[40] Bürger
R: Evolution of genetic variability and the advantage of sex and recombination
in changing environments. Genetics
153, 1055-1069 (1999)
[41] Gabriel
W, Bürger R: Fixation of clonal lineages under Muller's ratchet. Evolution 54, 1116-1125 (2000)
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R: Additive genetic variation under intraspecific competition and stabilizing
selection: A two-locus study. Theor. Popul. Biol. 61, 197-213 (2002), pdf
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R, Gimelfarb A: Fluctuating environments and the role
of mutation in maintaining quantitative genetic variation. Genetical Research 80, 31-46 (2002), pdf
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R: On a genetic model of intraspecific competition and stabilizing selection. Amer. Natur.
160, 661-682 (2002), pdf
[45] Willensdorfer M, Bürger
R: The two-locus model of Gaussian stabilizing selection. Theor. Popul. Biol. 64, 101-117 (2003), pdf
[46] Jones
AG, Arnold SJ, Bürger R: Stability of the G-matrix in a population experiencing
pleiotropic mutation, stabilizing selection, and genetic drift. Evolution 57, 1747-1760 (2003), pdf
[47] Lorenz
A, Fuchs J, Bürger R, Loidl J.: Chromosome pairing
does not contribute to nuclear architecture in vegetative yeast cells. Eukaryotic Cell 2, 856-866 (2003).
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R, Gimelfarb A.: The effects of intraspecific
competition and stabilizing selection on an polygenic trait. Genetics 167, 1425-1443 (2004), pdf
[49] Jones
AG, Arnold SJ, Bürger R: Evolution and stability of the G-matrix on a
landscape with a moving optimum. Evolution
58, 1639-1654 (2004), pdf
[50] Whitlock
MC, Bürger R: Fixation of new mutations in small populations. In: Evolutionary Conservation Biology (R. Ferrière, U. Dieckmann, D. Couvet, eds), pp. 155-170.
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R, Krall C: Quantitative-genetic models and changing environments. In: Evolutionary Conservation Biology (R. Ferriere, U. Dieckmann, D. Couvet, eds), pp. 171-187.
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R: A multilocus analysis of intraspecific competition
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R, Willensdorfer M, Nowak MA: Why are phenotypic
mutation rates much higher than genotypic mutation rates? Genetics 172, 197-206 (2006), pdf
(see also Research Highlights
in Nature Reviews Genetics 7(3), p. 157)
[54] Bürger
R, Schneider K: Intraspecific competitive divergence and convergence
under assortative mating. Amer. Natur. 167, 190-205 (2006), pdf
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K, Bürger R: Does competitive divergence occur if mating is costly? J. Evol. Biol.
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[56] Bürger
R, Schneider K, Willensdorfer M: The conditions for
speciation through intraspecific competition. Evolution 60, 2185-2206 (2006), pdf
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AG, Arnold SJ, Bürger R: The mutation matrix and the evolution of evolvability. Evolution
61, 727-745 (2007), pdf
[58] Willensdorfer M, Bürger
R, Nowak MA: Phenotypic mutation rates and the abundance of abnormal proteins
in yeast. PLoS Comput. Biol.
3(11), e203. doi:10.1371/journal.pcbi.0030203
(2007), pdf
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R, Bagheri HC Dominance and its evolution. In: SE
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Encyclopedia of Ecology, 1st
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[61] Arnold
SJ, Bürger R, Hohenlohe PA, Ajie BC, Jones AG:
Understanding the evolution and stability of the G-matrix. Evolution 62, 2451-2461 (2008), pdf
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256, 586-595 (2009), http://dx.doi.org/10.1016/j.jtbi.2008.10.006
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R: Multilocus selection in subdivided populations II:
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R: Polymorphism in the two-locus Levene model with nonepistatic directional selection. Theor. Popul. Biol. 76, 214-228 (2009), pdf,
doi:10.1016/j.tpb.2009.07.002
[66] Bürger
R: Evolution and polymorphism in the multilocus Levene model with no or weak epistasis. Theor. Popul. Biol. 78, 123-138 (2010), pdf, doi:10.1016/j.tpb.2010.06.002
[67] Bolnick DI, Amarasekare P, Araujo M, Bürger R, Levine J, Novak M,
Rudolf V, Schreiber S, Urban M, Vasseur D: Why
intraspecific trait variation matters in ecology. Trends Ecol. Evol. 26, 183-192 (2011), http://dx.doi.org/10.1016/j.tree.2011.01.009
[68] Schreiber
S, Bürger R, Bolnick DI: The community effects of phenotypic
and genetic variation within a predator population. Ecology 92, 1582-1593 (2011), doi:10.1890/10-2071.1
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in evolutionary genetics. In: The Mathematics of
Darwin’s Legacy (FACC Chalub
& JF Rodrigues, eds),
pp. 67-89. Birkhäuser, Basel (2011), pdf
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R, Akerman A: The effects of linkage and gene flow on
local adaptation: A two-locus continent-island model. Theor. Popul. Biol. 80, 272-288 (2011), pdf, doi:10.1016/j.tpb.2011.07.002;
Erratum
[71] Bank C, Bürger R, Hermisson
J: The limits to parapatric speciation: Dobzhansky-Muller incompatibilities in a continent-island
model. Genetics 191, 845–863
(2012), pdf,
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The effects of stochastic and episodic movement of the optimum on the evolution
of the G-matrix and the response of the trait mean to selection. J. Evol. Biol.
25, 2210–2231 (2012), pdf,
doi: 10.1111/j.1420-9101.2012.02598.x
[73] Urban
MC, Bürger R, Bolnick DI: Asymmetric selection and
the evolution of extraordinary defences. Nat. Commun. 4:2085 (2013), pdf, doi:
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[74] Akerman A, Bürger
R: The consequences of gene flow for local adaptation and differentiation: a
two-locus two-deme model. J. Math. Biol.
68, 1135-1198 (2014), pdf, doi:
10.1007/s00285-013-0660-z
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selection on a quantitative trait. Theor. Popul. Biol. 94, 10-41 (2014), pdf, doi:10.1016/j.tpb.2014.03.002
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consequences of dominance and gene flow for local adaptation and
differentiation at two linked loci. Theor. Popul. Biol. 94, 42-61 (2014), pdf, doi:10.1016/j.tpb.2014.04.001
[77] Bürger R: A survey of
migration-selection models in population genetics. Discrete Cont. Dyn. Syst. B 19, 883
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[78] Aeschbacher S, Bürger R: The effect of linkage on establishment
and survival of locally beneficial mutations. Genetics 197, 317-336 (2014), pdf, doi:10.1534/genetics.114.163477
[79] Jones
AG, Bürger R, Arnold SJ: Epistasis and natural
selection shape the mutational architecture of complex traits. Nat. Commun. 5:3709
(2014), pdf, doi:
10.1038/ncomms4709
[80] Servedio
M, Bürger R: The counterintuitive role of sexual selection in species
maintenance and speciation. Proc. Natl.
Acad. Sci. 111, 8113-8118 (2014), pdf, doi:
10.1073/pnas.1316484111
[81] Geroldinger
L, Bürger R: Clines in quantitative traits: The role of migration patterns and
selection scenarios. Theor. Popul. Biol.
99, 43-66 (2015), pdf,
Appendix
B, doi:10.1016/j.tpb.2014.10.006
[82] Servedio
M, Bürger R: The effects of sexual selection on trait divergence in a
peripheral population with gene flow. Evolution
69, 2648–2661 (2015); pdf,
doi:10.1111/evo.12762
[83] Yeaman S, Aeschbacher S, Bürger R:
The evolution of genomic islands by increased
establishment probability of linked alleles. Molecular Ecology 25, 2542–2558 (2016), pdf,
doi: 10.1111/mec.13611
[84] Bürger,
R: Two-locus clines on the real line with a step
environment. Theor. Popul.
Biol. 117, 1-22 (2017), pdf, 10.1016/j.tpb.2017.08.002
[85] Pontz M, Hofbauer J, Bürger R:
Evolutionary dynamics in the two-locus two-allele model with weak selection. J. Math. Biol. 76,
151–203 (2018), pdf,
supplement,
10.1007/s00285-017-1140-7
[86] Servedio M, Bürger R: The effects on parapatric divergence of linkage between preference and
trait loci versus pleiotropy. Genes, 2018, 9(4), 217; https://doi.org/10.3390/genes9040217
[87] Jones
AG, Bürger R, Arnold SJ: The G-matrix simulator
family: software for research and teaching. J.
of Heredity 109, 825–829 (2018), https://doi.org/10.1093/jhered/esy054
[88] Su L,
Lam K-Y, Bürger R: Two-locus clines maintained by diffusion and recombination
in a heterogeneous environment. J.
Differential Equations 266, 7909-7947 (2019), https://doi.org/10.1016/j.jde.2018.12.022; https://arxiv.org/abs/1808.03665
[89] Jones
AG, Bürger R, Arnold SJ: The effects of epistasis and pleiotropy on genome-wide
scans for adaptive outlier loci. J. of
Heredity 110, 493-513 (2019), https://doi.org/10.1093/jhered/esz007
[90] Patel
S, Bürger R: Eco-evolutionary feedbacks between prey densities and linkage
disequilibrium in the predator maintain diversity. Evolution 73, 1533-1548 (2019), https://doi.org/10.1111/evo.13785;
bioRxiv: http://dx.doi.org/10.1101/523720
[91] Bürger
R: Multilocus population-genetic theory. Theor. Popul. Biol.
133, 40-48 (2020), https://doi.org/10.1016/j.tpb.2019.09.004
[92] Servedio
M, Bürger R: The effectiveness of pseudomagic traits
in promoting divergence and enhancing local adaptation. Evolution 74, 2438
- 2450 (2020), https://doi.org/10.1111/evo.14056
[93] Svenson
EI, Arnold SJ, Bürger R, Csilléry K, Draghi J, Henshaw JM, Jones AG,
De Lisle S, Marques DA, McGuigan K, Simon MN & Runemark A: Correlational selection in the age of genomics.
Nature
Ecology & Evolution 5,
562 - 573 (2021), https://dx.doi.org/10.1038/s41559-021-01413-3
Pontz M, Bürger R: The effects of epistasis and linkage on the invasion of locally beneficial mutations and the evolution of genomic islands. Theor. Popul. Biol. 144, 49 - 69 (2022);
Aubier T, Bürger R, Servedio M: The effectiveness of pseudomagic traits in promoting premating isolation. Proc. R. Soc. B. 290: 20222108 (2023); http://doi.org/10.1098/rspb.2022.2108; bioRxiv:
bioRxiv:
bioRxiv:
The Mathematical Theory of Selection, Recombination,
and Mutation.
Click here for a
PDF-file with corrections, updates, further developments, etc. Reports on
further deficiencies are welcome.
Stochastic
Models in Biological Sciences (Eds.: R. Bürger, C. Maes,
J. Miekisz).