Selection against deleterious alleles maintained by mutation may cause
a reduction in the amount of genetic variability at linked neutral si
tes. This is because a new neutral variant can only remain in a large
population for a long period of time if it is maintained in gametes th
at are free of deleterious alleles, and hence are not destined for rap
id elimination from the population by selection. Approximate formulas
are derived for the reduction below classical neutral values resulting
from such background selection against deleterious mutations, for the
mean times to fixation and loss of new mutations, nucleotide site div
ersity, and number of segregating sites. These formulas apply to rando
m-mating populations with no genetic recombination, and to populations
reproducing exclusively asexually or by self-fertilization. For a giv
en selection regime and mating system, the reduction is an exponential
function of the total mutation rate to deleterious mutations for the
section of the genome involved. Simulations show that the effect decre
ases rapidly with increasing recombination frequency or rate of outcro
ssing. The mean time to loss of new neutral mutations and the total nu
mber of segregating neutral sites are less sensitive to background sel
ection than the other statistics, unless the population size is of the
order of a hundred thousand or more. The stationary distribution of a
llele frequencies at the neutral sites is correspondingly skewed in fa
vor of rare alleles, compared with the classical neutral result. Obser
ved reductions in molecular variation in low recombination genomic reg
ions of sufficiently large size, for instance in the centromere-proxim
al regions of Drosophila autosomes or in highly selfing plant populati
ons, may be partly due to background selection against deleterious mut
ations.