Stepping-Stone Model with Circular Brownian Migration

Stepping-stone model with circular Brownian migration

In this paper we consider a stepping-stone model on a circle with circular Brownian migration. We first point out a connection between Arratia flow and the marginal distribution of this model. We then give a new representation for the stepping-stone model using Arratia flow and circular coalescing Brownian motion. Such a representation enables us to carry out some explicit computation. In parti...

Intermediate Range Migration in the Two - Dimensional Stepping Stone Model

Z 2 in the limit L→∞, and study the time it takes two lineages tracing backward in time to coalesce. Our work fills a gap between the finite range migration case of [Ann. Appl. Probab. 15 (2005) 671–699] and the long range case of [Genetics 172 (2006) 701–708], where the migration range is a positive fraction of L. We obtain limit theorems for the intermediate case, and verify a conjecture in [...

Stepping Stone Detection Analysis

A Stepping Stone to Pluripotency

Somatic cells can be reprogrammed into pluripotent stem cells via either expression of transcription factors or addition of small molecule chemicals only. Zhao et al. reveal a unique intermediate state during chemical reprogramming allowing a significant improvement in its efficiency and kinetics.

Isolation-by-distance-and-time in a stepping-stone model.

With the great advances in ancient DNA extraction, genetic data are now obtained from geographically separated individuals from both present and past. However, population genetics theory about the joint effect of space and time has not been thoroughly studied. Based on the classical stepping-stone model, we develop the theory of Isolation by distance and time. We derive the correlation of allel...