Evolution, Population Genetics, and Germplasm Preservation

Population Genetics and Evolution

These lecture notes introduce key concepts of mathematical population genetics within the most elementary setting and describe a few recent applications to microbial evolution experiments. Pointers to the literature for further reading are provided, and some of the derivations are left as exercises for the reader.

Probability, Population Genetics and Evolution

Branching process in random environment (BPRE) are a generalization of GaltonWatson processes where the reproduction law is picked randomly in an i.i.d manner in each generation. In the supercritical case, the population Zn either explodes (with a positive probability) or becomes extincted. We are interested in the event when the process Zn takes positive but bounded values for large times n. W...

Can Population Genetics Adapt to Rapid Evolution?

Population genetics largely rests on a 'standard model' in which random genetic drift is the dominant force, selective sweeps occur infrequently, and deleterious mutations are purged from the population by purifying selection. Studies of phenotypic evolution in nature reveal a very different picture, with strong selection and rapid heritable trait changes being common. The time-rate scaling of ...

An evolution algebra in population genetics

Article history: Received 9 March 2014 Accepted 21 May 2014 Available online 7 June 2014 Submitted by R. Brualdi MSC: 17D92 17D99 60J10

Language Evolution : The Population Genetics Way