𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A New Model for Discrete Character Evolution

✍ Scribed by Alan Grafen; Mark Ridley

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
215 KB
Volume
184
Category
Article
ISSN
0022-5193

No coin nor oath required. For personal study only.

✦ Synopsis

The paper provides an explicit justification for the principle that a uniform taxon should contribute only one datapoint in comparative analyses with discrete variables. The justification is that phylogenetic patterns in variables unincluded in the proposed test vitiate the assumption of independence, both at the level of species and at the level of branch segments. The consequence is that a uniform taxon cannot safely be counted as more than one datapoint. The arguments use a branching discrete Markov process in continuous time, with the new feature that the tested variables are only a subset of the evolving characters. This model is proposed as a useful criterion for measuring the merit of proposed tests, and illustrates the necessity for models in evaluating comparative methods.

πŸ“œ SIMILAR VOLUMES

The Information Content of a Character u
The Information Content of a Character under a Markov Model of Evolution
✍ Max Shpak; Gary A. Churchill πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 147 KB

The rate of evolutionary change associated with a character determines its utility for the reconstruction of phylogenetic history. For a given age of lineage splits, we examine the information content of a character to assess the magnitude and range of an optimal rate of substitution. On the one han

A new consistent discrete-velocity model
A new consistent discrete-velocity model for the Boltzmann equation
✍ Vladislav A. Panferov; Alexei G. Heintz πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 202 KB

## Abstract This paper discusses the convergence of a new discrete‐velocity model to the Boltzmann equation. First the consistency of the collision integral approximation is proved. Based on this we prove the convergence of solutions for a modified model to renormalized solutions of the Boltzmann e

A Discrete Model for the Lightning Disch
A Discrete Model for the Lightning Discharge
✍ William W. Hager πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 172 KB

we simulate lightning by letting the conductivity tend to infinity wherever the electric field reaches the breakdown threshold. Here we show that for this discharge model and for a one parameter family of integration schemes, the backward Euler scheme is the only one that leads to the equilibration

A Model for Evolution and Extinction
A Model for Evolution and Extinction
✍ Bruce W. Roberts; M.E.J. Newman πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 585 KB

We present a model for evolution and extinction in large ecosystems. The model incorporates the effects of interactions between species and the influences of abiotic environmental factors. We study the properties of the model by approximate analytic solution and also by numerical simulation, and use