---
res:
bibo_abstract:
- There is a close analogy between statistical thermodynamics and the evolution
of allele frequencies under mutation, selection and random drift. Wright's formula
for the stationary distribution of allele frequencies is analogous to the Boltzmann
distribution in statistical physics. Population size, 2N, plays the role of the
inverse temperature, 1/kT, and determines the magnitude of random fluctuations.
Log mean fitness, View the MathML source, tends to increase under selection, and
is analogous to a (negative) energy; a potential function, U, increases under
mutation in a similar way. An entropy, SH, can be defined which measures the deviation
from the distribution of allele frequencies expected under random drift alone;
the sum View the MathML source gives a free fitness that increases as the population
evolves towards its stationary distribution. Usually, we observe the distribution
of a few quantitative traits that depend on the frequencies of very many alleles.
The mean and variance of such traits are analogous to observable quantities in
statistical thermodynamics. Thus, we can define an entropy, SΩ, which measures
the volume of allele frequency space that is consistent with the observed trait
distribution. The stationary distribution of the traits is View the MathML source;
this applies with arbitrary epistasis and dominance. The entropies SΩ, SH are
distinct, but converge when there are so many alleles that traits fluctuate close
to their expectations. Populations tend to evolve towards states that can be realised
in many ways (i.e., large SΩ), which may lead to a substantial drop below the
adaptive peak; we illustrate this point with a simple model of genetic redundancy.
This analogy with statistical thermodynamics brings together previous ideas in
a general framework, and justifies a maximum entropy approximation to the dynamics
of quantitative traits.@eng
bibo_authorlist:
- 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
- foaf_Person:
foaf_givenName: Jason
foaf_name: Coe, Jason
foaf_surname: Coe
bibo_doi: 10.1016/j.jtbi.2009.03.019
bibo_issue: '2'
bibo_volume: 259
dct_date: 2009^xs_gYear
dct_language: eng
dct_publisher: Elsevier@
dct_title: On the application of statistical physics to evolutionary biology@
...