---
res:
bibo_abstract:
- 'We outline two approaches to inference of neighbourhood size, N, and dispersal
rate, σ2, based on either allele frequencies or on the lengths of sequence blocks
that are shared between genomes. Over intermediate timescales (10-100 generations,
say), populations that live in two dimensions approach a quasi-equilibrium that
is independent of both their local structure and their deeper history. Over such
scales, the standardised covariance of allele frequencies (i.e. pairwise FS T)
falls with the logarithm of distance, and depends only on neighbourhood size,
N, and a ''local scale'', κ; the rate of gene flow, σ2, cannot be inferred. We
show how spatial correlations can be accounted for, assuming a Gaussian distribution
of allele frequencies, giving maximum likelihood estimates of N and κ. Alternatively,
inferences can be based on the distribution of the lengths of sequence that are
identical between blocks of genomes: long blocks (>0.1 cM, say) tell us about
intermediate timescales, over which we assume a quasi-equilibrium. For large neighbourhood
size, the distribution of long blocks is given directly by the classical Wright-Malécot
formula; this relationship can be used to infer both N and σ2. With small neighbourhood
size, there is an appreciable chance that recombinant lineages will coalesce back
before escaping into the distant past. For this case, we show that if genomes
are sampled from some distance apart, then the distribution of lengths of blocks
that are identical in state is geometric, with a mean that depends on N and σ2.@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: Alison
foaf_name: Etheridge, Alison
foaf_surname: Etheridge
- foaf_Person:
foaf_givenName: Jerome
foaf_name: Kelleher, Jerome
foaf_surname: Kelleher
- foaf_Person:
foaf_givenName: Amandine
foaf_name: Véber, Amandine
foaf_surname: Véber
bibo_doi: 10.1016/j.tpb.2013.03.001
bibo_issue: '1'
bibo_volume: 87
dct_date: 2013^xs_gYear
dct_language: eng
dct_publisher: Elsevier@
dct_title: 'Inference in two dimensions: Allele frequencies versus lengths of shared
sequence blocks@'
...