---
res:
bibo_abstract:
- 'By exploiting an analogy between population genetics and statistical mechanics,
we study the evolution of a polygenic trait under stabilizing selection, mutation
and genetic drift. This requires us to track only four macroscopic variables,
instead of the distribution of all the allele frequencies that influence the trait.
These macroscopic variables are the expectations of: the trait mean and its square,
the genetic variance, and of a measure of heterozygosity, and are derived from
a generating function that is in turn derived by maximizing an entropy measure.
These four macroscopics are enough to accurately describe the dynamics of the
trait mean and of its genetic variance (and in principle of any other quantity).
Unlike previous approaches that were based on an infinite series of moments or
cumulants, which had to be truncated arbitrarily, our calculations provide a well-defined
approximation procedure. We apply the framework to abrupt and gradual changes
in the optimum, as well as to changes in the strength of stabilizing selection.
Our approximations are surprisingly accurate, even for systems with as few as
five loci. We find that when the effects of drift are included, the expected genetic
variance is hardly altered by directional selection, even though it fluctuates
in any particular instance. We also find hysteresis, showing that even after averaging
over the microscopic variables, the macroscopic trajectories retain a memory of
the underlying genetic states.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Harold
foaf_name: de Vladar, Harold
foaf_surname: de Vladar
foaf_workInfoHomepage: http://www.librecat.org/personId=2A181218-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-5985-7653
- foaf_Person:
foaf_givenName: Nicholas H
foaf_name: Barton, Nicholas H
foaf_surname: Barton
foaf_workInfoHomepage: http://www.librecat.org/personId=4880FE40-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-8548-5240
bibo_doi: 10.1098/rsif.2010.0438
bibo_issue: '58'
bibo_volume: 8
dct_date: 2011^xs_gYear
dct_language: eng
dct_publisher: Royal Society of London@
dct_title: The statistical mechanics of a polygenic character under stabilizing
selection mutation and drift@
...