How genealogies are affected by the speed of evolution

Details How genealogies are affected by the speed of evolution How genealogies are affected by the speed of evolution

2011-07-12

arxiv.org/abs/1107.2227v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

In a series of recent works it has been shown that a class of simple models of evolving populations under selection leads to genealogical trees whose statistics are given by the Bolthausen-Sznitman coalescent rather than by the well known Kingman coalescent in the case of neutral evolution. Here we show that when conditioning the genealogies on the speed of evolution, one finds a one parameter family of tree statistics which interpolates between the Bolthausen-Sznitman and Kingman's coalescents. This interpolation can be calculated explicitly for one specific version of the model, the exponential model. Numerical simulations of another version of the model and a phenomenological theory indicate that this one-parameter family of tree statistics could be universal. We compare this tree structure with those appearing in other contexts, in particular in the mean field theory of spin glasses.

Affiliated with

Also associated with

No associations

Rating

How genealogies are affected by the speed of evolution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with How genealogies are affected by the speed of evolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and How genealogies are affected by the speed of evolution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-565251