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Updated: May 26, 2026

A Practical Guide to Phylogenetics for Nonexperts
Published on: February 5, 2014
Interpreting the evolutionary regression: the interplay between observational and biological errors in phylogenetic
Thomas F Hansen1, Krzysztof Bartoszek
1Department of Biology, Centre for Ecological and Evolutionary Synthesis, University of Oslo, PB 1066, Blindern, N-0316 Oslo, Norway. Thomas.Hansen@bio.uio.no
Biological variation causes phylogenetic correlations in regression residuals. This study details how to estimate and correct for these biases, alongside measurement errors, in evolutionary and allometric regressions.
Area of Science:
- Evolutionary biology
- Comparative biology
- Biostatistics
Background:
- Regression analyses in biology often exhibit residual deviations.
- These deviations frequently display phylogenetic correlations, suggesting underlying biological causes.
- Observational and measurement errors also impact comparative studies using species means.
Purpose of the Study:
- To explore the origins and effects of phylogenetically correlated biological variation in regression.
- To investigate the interplay between biological deviations and measurement errors.
- To provide methods for estimating and correcting biases in evolutionary regressions.
Main Methods:
- Development of general formulas for incorporating measurement error into linear models with correlated data.
- Analysis of bias sources in evolutionary regressions, including phylogenetic inertia and predictor variable errors.
- Evaluation of standard regression models (major axis, reduced major axis) in the presence of biological variation.
Main Results:
- Phylogenetic correlations in regression residuals are common and biologically driven.
- Bias in evolutionary regressions can stem from phylogenetic inertia and errors in predictor variables.
- Existing methods like major axis regression are strongly biased by biological variation and should not be used for evolutionary slopes.
Conclusions:
- Phylogenetic correlations and measurement errors introduce significant biases into evolutionary regression analyses.
- Methods for estimating and correcting these biases in the presence of phylogenetic correlations are presented.
- Alternative regression models are unsuitable for estimating evolutionary or allometric regression slopes due to inherent biases.
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