PT  - JOURNAL ARTICLE
AU  - Krzysztof Bartoszek
TI  - A Central Limit Theorem for Punctuated Equilibrium
AID  - 10.1101/039867
DP  - 2016 Jan 01
TA  - bioRxiv
PG  - 039867
4099  - http://biorxiv.org/content/early/2016/05/11/039867.short
4100  - http://biorxiv.org/content/early/2016/05/11/039867.full
AB  - Current evolutionary biology models usually assume that a phenotype undergoes gradual change. This is in stark contrast to biological intuition, which indicates that change can also be punctuated — the phenotype can jump. Such a jump can especially occur at speciation, i.e. dramatic change occurs that drives the species apart. Here we derive a central limit theorem for punctuated equilibrium.We show that, if adaptation is fast, for weak convergence to hold, dramatic change has to be a rare event.