@article {Bartoszek039867, author = {Krzysztof Bartoszek}, title = {A Central Limit Theorem for Punctuated Equilibrium}, elocation-id = {039867}, year = {2016}, doi = {10.1101/039867}, publisher = {Cold Spring Harbor Laboratory}, abstract = {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 {\textemdash} 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.}, URL = {https://www.biorxiv.org/content/early/2016/02/18/039867}, eprint = {https://www.biorxiv.org/content/early/2016/02/18/039867.full.pdf}, journal = {bioRxiv} }