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Table 1 Description of characters, parameters and variables.

From: Selection dramatically reduces effective population size in HIV-1 infection

Characters

Description

S

Locus under selection.

L

Neutral locus linked to locus S.

A

Advantageous allele at locus S.

a

Disadvantageous allele at locus S.

Parameters

 

N

Census population size.

s

Selection coefficient.

W

Fitness of the advantageous allele A, w = 1+s.

μ

Probability that locus S mutates from A to a per virion per generation.

ν

Probability that locus S mutates from a to A per virion per generation.

U

Probability that mutation occurs at locus L per virion per generation.

r

Probability of recombination between loci L and S per virion per generation.

Variables

 

N e

Effective population size.

A t

Frequency of allele A at locus S at generation t.

a t

Frequency of allele a at locus S at generation t.

F t

Probability that two alleles at locus L are identical by descent at generation t (equivalent to the inbreeding coefficient in classic population genetics).

F ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmOrayKbaKaaaaa@2CFA@

Inbreeding coefficient at equilibrium.

F AA, t

F of locus L between offspring with allele A, at generation t.

F aa, t

F of locus L between offspring with allele a, at generation t.

F Aa, t

F of locus L between offspring with alleles A and a, at generation t.

p A, t

Probability that an offspring at generation t is derived from a parent with allele A at generation t-1.

p a, t

Probability that an offspring at generation t is derived from a parent with allele a at generation t-1.

p AA, t

Probability that an offspring at generation t is derived from a parent with allele A, given that the offspring has allele A.

p Aa, t

Probability that an offspring at generation t is derived from a parent with allele A, given that the offspring has allele a.

p aa, t

Probability that an offspring at generation t is derived from a parent with allele a, given that the offspring has allele a.

p aA, t

Probability that an offspring at generation t is derived from a parent with allele a, given that the offspring has allele A.

P AA, t

Probability of an individual at generation t having alleles at loci L and S both being derived from individual(s) with allele A at locus S.

P Aa, t

Probability of an individual at generation t having locus L derived from an individual with allele A at locus S and locus S derived from an individual with allele a at locus S.

P aa, t

Probability of an individual at generation t having alleles at loci L and S both being derived from individual(s) with allele a at locus S.

P aA, t

Probability of an individual at generation t having locus L derived from an individual with allele a at locus S and locus S derived from an individual with allele A at locus S.