Ancient DNA extractions were successful for approximately 90% of samples trialled. From 223 successfully sequenced ancient VLC sample extractions, 177 haplotypes were identified, whereas from 49 MQ samples, 16 haplotypes were identified (; GenBank accession numbers: FJ168073–FJ168343). A single haplotype was shared between VLC and MQ. Summary details for all other extant colonies are presented elsewhere
[11],
[12]. To determine relationships between the VLC seals and extant seal colonies, we used various phylogeny reconstruction methods
[13],
[14]. While a large degree of reticulation was evident for the VLC samples (), all methods unambiguously defined two major lineages; the ancient VLC samples together with extant samples from MQ, and a lineage including all other extant colonies (; only median-joining network reconstructions are shown). Bayesian analyses of the ancient VLC data, incorporating an explicit post-mortem damage model
[15], calibrated against the estimated calendar age of the ancient samples (
Table S1) produced a mtDNA hypervariable region (HVR) rate estimate of 9.80×10
−7 (
Figure S1; 95% highest posterior density interval (HPDI) 1.67×10
−9–2.06×10
−6) substitutions per site per year (s.s.yr
−1). This rate is in agreement with estimates obtained from various other aDNA datasets
[16] including a close match with an HVR rate of 9.6×10
−7 s.s.yr
−1 calculated over a similar timeframe (6,424 YBP) from Adelie penguin aDNA
[17], and with the mean human HVR pedigree rate estimate derived from a meta-analysis (9.5×10
−7 s.s.yr
−1)
[18]. Although HPDIs were broad, the sampling distribution returned a well-resolved peak with strong bounds (
Figure S1). After
[19]–
[21], uncertainty in the actual substitution rate estimate was not incorporated into further analyses, in order to isolate uncertainty in the coalescent process. In the context of the well-documented geochronology of the VLC
[1]–
[5],
[9],
[22], our results applied in further analyses (e.g. IM; mismatch distributions – see below) provide strong support for the HPD rate estimate, and for the similar molecular rates calculated from other species over Holocene timeframes and from pedigree data
[16]–
[18],
[23],
[24]. Although controversial
[25],
[26], as they are an order of magnitude or more faster than ‘traditional’ substitution rate estimates derived from interspecific phylogenetic datasets or the fossil record
[24], these high intraspecific estimates have been quite consistent and are now well supported
[16]–
[18],
[23],
[24],
[26].
| Table 1Population genetic summary and demographic statistics for Victoria Land Coast (VLC) and Macquarie (MQ) populations. |
Founder analysis identified three closely related haplotypes within the MQ/VLC clade as potential founders (), based on minimum
ρ value estimates for that clade. Two of these were sampled from the VLC site, while one was sampled from MQ. Coalescent theory predicts that ancestral haplotypes will be basal and/or central within the haplogroup
[27],
[28], as is the case for these haplotypes. Mapping the estimated calendar ages of the VLC haplotypes onto the MQ/VLC network supported these results, as the potential MQ founder haplotype's nearest-neighbours date to early in the VLC colonies' history, as do the potential founder haplotypes sampled from the VLC (). In addition, minimum inter-population
ρ value estimates identify MQ as the most likely source of the VLC samples ().
| Table 2ρ distances (±s.d.) between the mtDNA pools of Victoria Land Coast (VLC) samples and those of potential source populations, representing all major extant southern elephant seal breeding colonies. |
Coalescent estimates
[29] of the time of splitting for MQ and VLC (t

=

6,167 YBP; 90% HPDI

=

5,116–7,674 YBP;
Figure S2;
Table S2) corresponds closely with the mid-Holocene retreat of the Ross Sea ice sheet from the VLC (7,500–8,000 YBP)
[1], and thus the consequent opening of newly available seal habitat, and coincides with the age of the oldest ancient sample (7,087 YBP;
Table S1). On this basis, colonisation of the VLC likely began prior to 7,000 calendar YBP.
Bayesian demographic model selection and population genetic and coalescent-based statistics provide a signature of subsequent expansion in the VLC population, while MQ shows a signature of a long-term stable population (). Similarly, mismatch distributions
[30] show a strong signal for expansion in the VLC population (with tau

=

5.48; mean expansion time estimate

=

8,600 YBP (95% CI

=

7,185–10,298 YBP)), while the mismatch distribution for MQ is multi-modal and therefore consistent with long-term stability (). FLUCTUATE
[31] analyses indicated strong growth in VLC samples from ≥3,001 YBP (g

=

648±44 sd), while 1,500–3,000 year old samples (g

=

254±33) and the most recent samples (<1,500 years old; g

=

119±14) showed lower growth rates.
Recent back migration to MQ can be estimated by examining for the presence of MQ lineages that are most likely to have evolved at VLC (), that is, MQ haplotypes that are derived from VLC haplotypes
[27]. It is clear from the network that this is the case for a number of MQ haplotypes, and again mapping the ages of their nearest VLC neighbours suggests increasing recent (range of nearest-neighbour dates: 506–1,565 YBP) contact from VLC to MQ (). Consistent with this notion of some MQ haplotypes being derived from VLC haplotypes,
ST values appear to decrease over time between VLC and MQ (>3,000 YBP:
ST
=

0.208; 1,500–3,000 YBP:
ST
=

0.161; <1,500 YBP:
ST
=

0.149;
c.f. Table S3). Comparing VLC to other modern populations,
ST showed the opposite trend (>3,000 YBP:
ST
=

0.458; 1,500–3,000 YBP:
ST
=

0.539; <1,500 YBP:
ST
=

0.560). One possible interpretation would be increasing contact between VLC and MQ. These significant
ST values also show that VLC must have become an independent breeding population, and was not merely or predominantly a geographically distant moulting haul-out site. Results using an isolation with migration model
[29] provide additional support for post-founder unidirectional migration from VLC to MQ only (m1 (into Macquarie)

=

0.45, 90% HPDI

=

0.07–1.79; m2 (into VLC)

=

0.005, 90% HPDI

=

0.005–0.115), and an estimated time of migration of 1,365 YBP (90% HPDI

=

565–4,325 YBP) (
Figure S2,
Table S2). Based on the age of the youngest seal remains recovered, final abandonment of the VLC site likely took place around 400 YBP (
Table S1).
Bayesian skyline plots
[32], which simultaneously estimate both the timing and magnitude of effective (female) population size change (
Ne), provided more equivocal results. There is only a slight indication of expansion when VLC is considered on its own (), and the 95% HPDIs are broad and overlapping. Considering MQ on its own suggests a stable population at an estimated
Ne that is substantially lower than for VLC (). We then combined VLC with extant populations, first with Marion Island where the census population size is known to be similar to that on MQ
[6],
[33],
[34], and for which there is little evidence of connectivity with either MQ or VLC (
[11]; see above). In this case there is a stronger indication of expansion, but no indication of a population decline (). A very similar result was found when we combined VLC and Elephant Island (BSP not presented), which also has a similar or smaller census size to MQ
[6],
[35]. Finally, we combine VLC with MQ (). Here we see a trace that indicates both population expansion and decline, at dates roughly consistent with our previous estimates for these events.
We then assessed levels of diversity from two time periods for the VLC, and for the modern MQ, though our VLC samples from the relatively recent past come mostly from the beginning of the apparent decline period (VLC samples>1,000 YBP: π

=

0.0243±0.0001,
r
=

44.7,
n
=

163; VLC<1,000 YBP: π

=

0.0224±0.0012,
r
=

41.7,
n
=

60; MQ: π

=

0.0202±0.0013,
r
=

15.0,
n
=

49;
r
=

haplotype richness, corrected for sample size). Only the VLC>1,000 YBP and MQ samples had non-overlapping distributions for π according to the analysis in D
NASP (see
Materials and Methods). The haplotype network () and relative haplotype richness values for VLC and MQ illustrate the large difference in diversity, which may in part be due to diversity being lost during 19
th century sealing at MQ. However, there is no signal for a population bottleneck and subsequent expansion at MQ (), and the level of diversity there is comparable to that seen at other islands
[11].
Estimates of
Ne derived using IM indicate a large effective population size at VLC (219,255; 90% HPDI

=

187,888–267,582), and much lower estimates for MQ and the putative ancestor population (MQ: 6,727 (2,566–11,969); Ancestral: 13,263 (9,320–22,827)) (
Figure S2,
Table S2). This may suggest continuity between the ancestor and MQ populations. Note that un-sampled (‘ghost’) populations may inflate the apparent size of the ancestor population in this two population model
[29]. The larger size estimate for VLC is consistent with the skyline plot results (). Calculating the time to the most recent common ancestor (TMRCA) using Bayesian phylogenetic methods
[14] showed similar overlapping age estimates for the VLC and MQ samples (VLC: 11,740 YBP; 95% HPDI

=

9,097–14,710; MQ: 11,090; 95% HPDI

=

8,461–14,030), pre-dating the founding of VLC. All other modern populations considered both separately and pooled gave a younger TMRCA estimate, which approximated the time when the VLC site was founded (‘Modern’ pooled: 5,570 YBP (3,833–7,189);
Figure S3).