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Detecting (non)parallel evolution in multidimensional spaces: angles, correlations, and eigenanalysis
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, many biologists have been ignorant on properties of angles in multidimensional spaces, and unsound uses of angles are common in the biological literature. To remedy this situation, this study provides a brief overview on geometric and statistical aspects of angles indoi:10.32942/osf.io/2gxwb fatcat:resukz4tlnbndlpdeshbrrozfy