ReviewBiology letters2022
Detecting (non)parallel evolution in multidimensional spaces: angles, correlations and eigenanalysis.
Review in Biology letters, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
4 citing papers in PubMed.
- Allometry and phylogenetic divergence: Correspondence or incongruence?Anatomical record (Hoboken, N.J. : 2007) · 2025Article
- The effects of host ecology and phylogeny on gut microbiota (non)parallelism across birds and mammals.mSphere · 2023Article
- Diversification of the ruminant skull along an evolutionary line of least resistance.Science advances · 2023Article
- Quantifying (non)parallelism of gut microbial community change using multivariate vector analysis.Ecology and evolution · 2022Article
Corrections and comments
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Authors and funding
1 author.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Parallelism between evolutionary trajectories in a trait space is often seen as evidence for repeatability of phenotypic evolution, and angles between trajectories play a pivotal role in the analysis of parallelism. However, properties of angles in multidimensional spaces have not been widely appreciated by biologists. To remedy this situation, this study provides a brief overview on geometric and statistical aspects of angles in multidimensional spaces. Under the null hypothesis that trajectory vectors have no preferred directions (i.e. uniform distribution on hypersphere), the angle between two independent vectors is concentrated around the right angle, with a more pronounced peak in a higher-dimensional space. This probability distribution is closely related to
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Registered trials
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