Spatially explicit non-Mendelian diploid model

Details Spatially explicit non-Mendelian diploid model Spatially explicit non-Mendelian diploid model

2009-10-21

arxiv.org/abs/0910.4009v1

Annals of Applied Probability 2009, Vol. 19, No. 5, 1880-1920

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/09-AAP598 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/09-AAP598

We introduce a spatially explicit model for the competition between type $a$ and type $b$ alleles. Each vertex of the $d$-dimensional integer lattice is occupied by a diploid individual, which is in one of three possible states or genotypes: $aa$, $ab$ or $bb$. We are interested in the long-term behavior of the gene frequencies when Mendel's law of segregation does not hold. This results in a voter type model depending on four parameters; each of these parameters measures the strength of competition between genes during meiosis. We prove that with or without a spatial structure, type $a$ and type $b$ alleles coexist at equilibrium when homozygotes are poor competitors. The inclusion of a spatial structure, however, reduces the parameter region where coexistence occurs.

Affiliated with

Also associated with

No associations

Rating

Spatially explicit non-Mendelian diploid model 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 Spatially explicit non-Mendelian diploid model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spatially explicit non-Mendelian diploid model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143675