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Testing for correlation between traits under directional evolution.

Manuela Royer-Carenzi1, Gilles Didier2

  • 1Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France.

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This summary is machine-generated.

Directional trends can create false correlations between traits. A new multiple regression method accurately corrects for this bias, outperforming existing methods in simulations and real-world data analysis.

Keywords:
Brownian motionCorrelation testsDirectional evolutionIndependent contrasts

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Area of Science:

  • Evolutionary Biology
  • Phylogenetic Comparative Methods
  • Statistical Modeling

Background:

  • Directional trends in trait evolution can lead to spurious correlations between quantitative traits.
  • Standard methods like independent contrasts are unreliable for detecting true correlations in the presence of directional trends.

Purpose of the Study:

  • To develop a statistical approach that corrects for bias caused by directional evolution when testing trait correlations.
  • To demonstrate the equivalence of the proposed method with Phylogenetic Generalized Least Squares (PGLS) using tip times.

Main Methods:

  • Determined probability distributions of independent contrasts under Brownian motion with linear trends.
  • Proposed a multiple regression approach to correct for directional bias.
  • Provided a general proof for the equivalence between PGLS and independent contrasts.

Main Results:

  • Standard independent contrasts are inappropriate for testing correlations with directional trends.
  • The proposed multiple regression method effectively corrects for directional evolution bias.
  • The new approach demonstrated superior performance compared to three previous correlation tests in simulations.

Conclusions:

  • A novel multiple regression method accurately identifies correlations between traits evolving with directional trends.
  • The method is robust and outperforms existing techniques, offering a more reliable tool for phylogenetic comparative studies.
  • Applied to hominin data, it provides a corrected assessment of the relationship between cranial capacity and body mass.