Evolutionary Branching

Evolutionary branching is sympatric speciation driven by competition between dominant species and their mutants. The traditional approach to study evolutionary branching is to use pairwise-invasibility plot (PIP). However, PIP is only suitable for the branching of a single species with a single trait. With multiple co-evolving traits or species, this method breaks down because the evolution/branching in one trait changes the PIP of other traits. In this talk, I introduce a dynamical method to study the branching of multiple co-evolving traits and species, and give the branching conditions.