MODELING STABILIZING SELECTION: EXPANDING THE ORNSTEIN–UHLENBECK MODEL OF ADAPTIVE EVOLUTION
Article first published online: 9 APR 2012
© 2012 The Author(s). Evolution© 2012 The Society for the Study of Evolution.
Volume 66, Issue 8, pages 2369–2383, August 2012
How to Cite
Beaulieu, J. M., Jhwueng, D.-C., Boettiger, C. and O’Meara, B. C. (2012), MODELING STABILIZING SELECTION: EXPANDING THE ORNSTEIN–UHLENBECK MODEL OF ADAPTIVE EVOLUTION. Evolution, 66: 2369–2383. doi: 10.1111/j.1558-5646.2012.01619.x
- Issue published online: 26 JUL 2012
- Article first published online: 9 APR 2012
- Accepted manuscript online: 13 MAR 2012 11:25AM EST
- Received September 2, 2011 , Accepted February 6, 2012
- Brownian motion;
- comparative method;
- continuous characters Hansen model;
Comparative methods used to study patterns of evolutionary change in a continuous trait on a phylogeny range from Brownian motion processes to models where the trait is assumed to evolve according to an Ornstein–Uhlenbeck (OU) process. Although these models have proved useful in a variety of contexts, they still do not cover all the scenarios biologists want to examine. For models based on the OU process, model complexity is restricted in current implementations by assuming that the rate of stochastic motion and the strength of selection do not vary among selective regimes. Here, we expand the OU model of adaptive evolution to include models that variously relax the assumption of a constant rate and strength of selection. In its most general form, the methods described here can assign each selective regime a separate trait optimum, a rate of stochastic motion parameter, and a parameter for the strength of selection. We use simulations to show that our models can detect meaningful differences in the evolutionary process, especially with larger sample sizes. We also illustrate our method using an empirical example of genome size evolution within a large flowering plant clade.