ArticleEvolution; international journal of organic evolution2010
The distribution and hypothesis testing of eigenvalues from the canonical analysis of the gamma matrix of quadratic and correlational selection gradients.
Article in Evolution; international journal of organic evolution, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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15 citing papers in PubMed.
- Male song structure predicts offspring recruitment to the breeding population in a migratory bird.Evolution; international journal of organic evolution · 2024Article
- Density-dependent patterns of multivariate selection on sperm motility and morphology in a broadcast spawning mussel.Ecology and evolution · 2022Article
- Post-ejaculation thermal stress causes changes to the RNA profile of sperm in an external fertilizer.Proceedings. Biological sciences · 2020Article
- Multivariate stabilizing sexual selection and the evolution of male and female genital morphology in the red flour beetle.Evolution; international journal of organic evolution · 2020Article
- Predation shapes sperm performance surfaces in guppies.Proceedings. Biological sciences · 2019Article
- Eigenvalue significance testing for genetic association.Biometrics · 2018Article
- Constrained evolution of the sex comb in Drosophila simulans.Journal of evolutionary biology · 2017Article
- Concordance between stabilizing sexual selection, intraspecific variation, and interspecific divergence inEcology and evolution · 2016Article
- Pre and Post-copulatory Selection Favor Similar Genital Phenotypes in the Male Broad Horned Beetle.Integrative and comparative biology · 2016Article
- Temporal variation in selection on male and female traits in wild tree crickets.Ecology and evolution · 2016Article
- Unravelling anisogamy: egg size and ejaculate size mediate selection on morphology in free-swimming sperm.Proceedings. Biological sciences · 2016Article
- Sexual Selection on male cuticular hydrocarbons via male-male competition and female choice.Journal of evolutionary biology · 2016Article
- Multivariate selection drives concordant patterns of pre- and postcopulatory sexual selection in a livebearing fish.Nature communications · 2015Article
- Multivariate sexual selection on male song structure in wild populations of sagebrush crickets, Cyphoderris strepitans (Orthoptera: Haglidae).Ecology and evolution · 2013Article
- Penis size interacts with body shape and height to influence male attractiveness.Proceedings of the National Academy of Sciences of the United States of America · 2013Article
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3 authors.
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Abstract
Canonical analysis measures nonlinear selection on latent axes from a rotation of the gamma matrix (gamma) of quadratic and correlation selection gradients. Here, we document that the conventional method of testing eigenvalues (double regression) under the null hypothesis of no nonlinear selection is incorrect. Through simulation we demonstrate that under the null the expectation of some eigenvalues from canonical analysis will be nonzero, which leads to unacceptably high type 1 error rates. Using a two-trait example, we prove that the expectations for both eigenvalues depend on the sampling variability of the estimates in gamma. An appropriate test is to slightly modify the double regression method by calculating permutation P-values for the ordered eigenvalues, which maintains correct type 1 error rates. Using simulated data of nonlinear selection on male guppy ornamentation, we show that the statistical power to detect curvature with canonical analysis is higher compared to relying on the estimates from gamma alone. We provide a simple R script for permutation testing of the eigenvalues to distinguish curvature in the selection surface induced by nonlinear selection from curvature induced by random processes.
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