2009
Measuring Evolutionary Constraints Through the Dimensionality of the Phenotype: Adjusted Bootstrap Method to Estimate Rank of Phenotypic Covariance Matrices
Pavlicev M, Wagner G, Cheverud J. Measuring Evolutionary Constraints Through the Dimensionality of the Phenotype: Adjusted Bootstrap Method to Estimate Rank of Phenotypic Covariance Matrices. Evolutionary Biology 2009, 36: 339-353. DOI: 10.1007/s11692-009-9066-7.Peer-Reviewed Original ResearchEvolutionary constraintsCovariance matrixPhenotypic covariance matrixGenetic covariance matrixPhenotypic evolutionBootstrap methodPhenotypic variationGenetic variationPhenotype spaceLack of variationSelection responseFull rankMatrix rankRank estimatesNumber of variablesPhenotypeVariational dimensionsDimensionalityPhenotypicTraitsConstraintsMatrixVariationRankSample size
2001
Modeling Genetic Architecture: A Multilinear Theory of Gene Interaction
Hansen T, Wagner G. Modeling Genetic Architecture: A Multilinear Theory of Gene Interaction. Theoretical Population Biology 2001, 59: 61-86. PMID: 11243929, DOI: 10.1006/tpbi.2000.1508.Peer-Reviewed Original ResearchConceptsGenotype-phenotype mapGene interactionsQuantitative genetic variationEffects of epistasisGenetic canalizationGenetic experimentsGenetic variationGene substitutionGenetic backgroundEpistasisTractable modelComplex functionsCentral importanceLociBiologyCanalizationPhenotypeGenotypesInteractionSum of linear
1999
Is Hsp90 a regulator of evolvability?
Wagner G, Chiu C, Hansen T. Is Hsp90 a regulator of evolvability? Journal Of Experimental Zoology 1999, 285: 116-118. PMID: 10440722, DOI: 10.1002/(sici)1097-010x(19990815)285:2<116::aid-jez3>3.0.co;2-p.Commentaries, Editorials and Letters
1984
On the eigenvalue distribution of genetic and phenotypic dispersion matrices: Evidence for a nonrandom organization of quantitative character variation
Wagner G. On the eigenvalue distribution of genetic and phenotypic dispersion matrices: Evidence for a nonrandom organization of quantitative character variation. Journal Of Mathematical Biology 1984, 21: 77-95. DOI: 10.1007/bf00275224.Peer-Reviewed Original ResearchQuantitative genetic variationQuantitative genetic modelGenetic variationInsect dataCharacter variationNonrandom organizationPleiotropy modelUnrelated charactersGenetic modelsPleiotropyRandom matricesEigenvalue distributionDispersion matrixRandom organizationGaussian random matricesCorrelation matrix REmpirical correlation matrixInsectsEigenvalue densityIntermediate eigenvaluesMatrix GMatrix RDensity functionExpressionApproximate expression