Mitochondrial Eve: measurements and quantitative checks

A quantitative companion separating observed mtDNA counts from unit conversions and model outputs. It preserves pedigree, bottleneck, ancient-DNA, generation-time, regional and archaic panels while correcting source, denominator, branch and calibration errors.

This companion records the numerical evidence behind the main article. Its own source notes identify the papers and preserved calculations behind the tables.

Three labels keep unlike quantities apart:

  • Measured means a study counted sequences, transmissions, variants, branch differences or dated specimens. It still has a sample, region, assay threshold and counted class.
  • Converted means arithmetic applied to a measured value, such as changing a divergence rate into a lineage rate or multiplying a per-site rate by 16,569 bases. A conversion is not a new observation.
  • Model means a date, bottleneck, fixation probability, regression, inferred ancestral state or other result that depends on assumptions beyond the raw count.

The tables retain historical numbers when they are needed to audit the earlier argument. A historical or superseded number is marked beside the correction and is not treated as current evidence. The calculations below were checked against the supplied rate and archaic dossiers, the local source extractions and the local Subramanian 2011 XML/Markdown. The canonical repository copy was updated and the checks remain valid.

Constants and unit conventions

Quantity Value Status and scope
Complete human mtDNA reference 16,569 bp Measured reference length used for whole-genome conversions.
Control region 1,122 bp, positions 16024–576 Region length; a control-region rate cannot be assigned to coding sites without an explicit model.
Coding region 15,447 bp Converted as 16,569 − 1,122.
HVR-I 360 bp Region subset; not a whole-genome denominator.
HVR-II 316 bp Region subset; not a whole-genome denominator.
Common historical generation interval 20–25 y Conversion convention in older mtDNA tables, not a universal measured human interval.
deCODE mean generation interval 29.3 y, median 30, range 10–50 Study-specific inferred matriline interval.
Divergence versus lineage rate divergence is commonly 2μ A pairwise comparison has two branches; a single branch has μ.

For a single branch, the simple conversion is years = branch changes / μ. For two descendants of one starting ancestor, it is years = pairwise differences / (2μ) when the two branch rates are treated as equal. Repeated hits, selection, ancestral variation, population structure and unequal ancient-tip ages can invalidate a direct clock conversion.

Pedigree and transmission measurements

The count column identifies the region and counted class. A “detected” or “heteroplasmic” event is not automatically a fixed substitution. Generation columns elsewhere in this file always name their region and event class for that reason.

Study Sample, region and count class Measured or reported rate What the number can support
Howell 1996 1 2 germline changes in 88 transmissions, plus one additional somatic change in the original account; control-region pedigree 0.023 CR germline events/transmission A small direct observation, not a fixed whole-genome rate. The stored dossier flags a later 2/81 denominator; resolve that before treating 2/88 as final.
Parsons 1997 2 10 changes/327 transmissions, about 610 bp of HVR-I+II 2.5 substitutions/site/Myr The primary abstract and pedigree dossier support 10/327. The older 10/357 denominator is superseded and must not be used. The ten events are not ten fixed whole-genome substitutions.
Cavelier 2000 3 0/292 CR transmissions plus 500 bp coding sequence; fixed changes 0 observed Zero in a small sample gives an upper limit, not proof of a zero human rate.
Sigurðardóttir 2000 4 3/705 HVR-I+II transmissions; Howell re-score 5/705; paper’s mask 673 bp 0.0043; 0.0071 HVR-I+II changes/transmission Re-scoring and ascertainment alter the count.
Heyer 2001 5 4/508 HVR-I+II transmissions in the 673-bp mask; pooled 18/1,729 0.0079; 0.0104 HVR-I+II changes/transmission Pooled pedigrees do not make tissue, region or thresholds identical.
Forster 2002 6 1/200 low-radiation and 22/595 high-radiation families; CR heteroplasmies 0.005 and 0.037 CR heteroplasmies/transmission A roughly 7.4-fold appearing-event contrast; no fixed whole-genome multiplier was measured.
Howell 2003 7 28/2,633 pooled pedigree observations; CR divergence 0.95 mutations/bp/Myr, 99.5% CI 0.53–1.57 This is a two-lineage CR divergence rate. Its lineage-equivalent value is half the displayed rate. The interval is 99.5%, not 95%.
Howell 2003 coding result 7 4/462 transmission events; coding observations pooled across mixed partial coverage, including earlier LHON fragments and Cavelier’s 500-bp sample 0.06 mutations/bp/Myr, 99.5% CI 0.008–0.20 A coding-region result with mixed coverage; it should not be replaced by a CR rate scaled over the genome.
Santos 2005 8 6/321 germinal HVR-I+II events; 11/321 all events; measured region about 610 bp 0.019; 0.034 HVR-I+II changes/transmission Germinal and all-event classes differ; the paper’s model-corrected value is 0.0037 for HVR-I+II, not HVR-I alone.
Madrigal 2012 9 7/273 maximum and 2/220 minimum HVR-I substitutions, 19 pedigrees 0.89–2.51 × 10⁻⁶ substitutions/site/y The abstract headline 1.24 × 10⁻⁶ does not reproduce from the Results/Table 2 range. Female generation interval was 28.3 y.
Guo 2013 10 0/26 fixed changes; 12 shared heteroplasmies; 3,981× depth 0 fixed changes observed A deep assay found no fixed events in a small sample. It does not establish a universal zero rate or a universal bottleneck.
Rebolledo-Jaramillo 2014 11 51 heteroplasmies in 39 pairs at ≥1% 51/39 = 1.31 observed heteroplasmies/pair; model α=0.143 and μ=0.0045 The measured count is not itself a mutation rate and includes somatic and germline classes. The arising and model-estimated fixing rates are different quantities.
Ding 2015 12 141 heteroplasmy gains/333 pairs; 35 homoplasmy gains and 28 losses among 7,266/7,273 homoplasmies 0.42 heteroplasmy gains/pair; 0.105 homoplasmy discordance/pair Ding treats the 35/28 discordances as sequencing or calling noise. Jeanson’s use of all 63 as new mutations is a model choice, not a source finding.
Wei 2019 13 477 de novo heteroplasmies ≥1%/1,526 pairs; 3 ≥80% 0.3126 detected events/genome/transmission; 0.0020 ≥80% Two of the three near-homoplasmic calls had ascertainment concerns. The frequency-class contrast is measured; lifetime fixation is not.
Zaidi 2019 14 249 transmissions; inferred heteroplasmy segregation 0.00782 model-estimated fixing events/genome/transmission A model estimate with effective bottleneck N=10.3, not a direct count of fixed changes.
Connell 2022 15 9 events/345 whole-genome transmissions in 225 people and 45 maternal lineages; 7 heteroplasmic, 2 fixed 0.0261 all detected events/genome/transmission; 1.30 × 10⁻⁸/site/y fixed-only Small population, Sanger detection threshold 20%, difficult regions excluded. The two fixed events are the cleanest direct count but have broad uncertainty.
Árnadóttir/deCODE 2024 16 8,199 detected mutations/116,663 mother-child transmissions; 64,806 Icelanders and 2,548 matrilines 0.07029 detected events/genome/transmission Thresholded branch-inferred events across matrilines of varying depth, not 8,199 independent one-generation fixed substitutions.
deCODE regional counts 16 Same whole-genome study; coding versus CR detection classes 2.87 × 10⁻⁶ coding mutations/bp/generation; 2.38 × 10⁻⁵ CR mutations/bp/generation Per-site CR detection is about eight times coding detection. Hypermutable positions account for 2,419/8,199 events at 66 sites.
Arbeithuber 2025 17 52 de novo changes/70 mother-to-oocyte transmissions; 80 oocytes from 22 women; duplex assay 0.74 detected changes/genome/transmission A post-oogenesis, post-selection oocyte sample, not an unfiltered pre-bottleneck germline rate.

Canonical regional rate comparison

The former converted pedigree table is preserved, with an explicit superseded warning, in research/superseded-measurement-conversions.md. The canonical 61-row regional comparison is rendered in research/clock-tables.md from research/clock-comparison.json, and is the source to use for region-specific ages and transmission-rate comparisons.

The canonical table keeps each input’s measured region, event class, sample denominator, window and source caveat. It computes the displayed per-site annual value from the stored per-region transmission value using the nominal 25-year equivalent, while preserving source-specific rates and intervals in the notes. Zero-count studies use an explicit Poisson upper bound; model-derived fixing rates remain labelled as models. This avoids silently combining control-region or HVR rates with whole-genome denominators, and avoids treating detected heteroplasmies as fixed substitutions.

Conversions, predictions and corrected arithmetic

Quantity Arithmetic Classification and limit
Jeanson whole-genome rate 18 63 / 6,594,462 bp-generations = 9.55 × 10⁻⁶/bp/generation; ×16,569 = 0.1583/genome/generation; reported 95% CI 0.119–0.197 Converted from 63 discordances, mostly Ding’s data. Ding does not establish that all 63 are independent fixed mutations.
Jeanson six-thousand-year one-branch output 0.1583 × 6,000/25 = 37.99 Model output for one branch. Two descendants from the same starting ancestor have 2 × 37.99 = 75.98 expected pairwise differences under the same star model. The earlier “38 pairwise changes” is superseded by this branch correction.
Jeanson maximum-distance date 123 observed maximum; preferred equations gave 4,700–18,100 y, central about 9,713 y Model output from an extreme pairwise statistic. It inherits branch convention, event-class and sampling assumptions.
Corrected 39.8-pair calculation 39.8 / (2 × 0.1583) = 125.7 generations; ×25–35 y = 3.14–4.40 ky Model scale only. The 39.8 value is a worldwide mean pair, not Behar’s root-to-tip distance.
Wei frequency-weighted illustration 13 477 × 0.062 / 1,526 = 0.0194 Neutral fixation-equivalent contribution of the observed ≥1% class. It is not a global upper bound because variants below 1% are missing and selection can lower persistence.
Connell direct fixed count 15 2 / 345 = 0.0057971 Measured fixed events per actual whole-genome transmission. The exact count is 2, not 2/9.
Connell published-rate conversion 1.30 × 10⁻⁸/site/y × 16,569 bp × 25 y = 0.005384925 Converted from the published fixed-only per-year rate using 25 years. It is close to 0.00580 but not identical. The source’s generation convention is 26.9 y, and the two calculations should not be silently interchanged.
Connell all-event count 9 / 345 = 0.026087 Measured fixed plus heteroplasmic events per whole-genome transmission. It cannot be called a fixed-substitution rate.
Jeanson null for Norfolk 0.1583 × 345 = 54.61 expected events; Poisson P(X ≤ 2) ≈ 2.96 × 10⁻²¹ Model stress test under independent fixed-event Poisson assumptions. It omits family correlation, assay thresholds, classification and population structure, so it is not a universal probability against a young-earth history.
deCODE raw date illustration 16 0.0703 detected events/transmission gives about 24,000 y when inserted into a root-to-tip calculation Model output using thresholded detected branch events, not a validated date.
deCODE divide-by-three illustration 0.0703 / 3 = 0.0234, giving about 61,000 y in the earlier calculation Historical model output. Effective N≈2–3 describes frequency variance under a model; it is not automatically a divisor for detected event counts.
Rebolledo threshold import μ = μ₀ / [2N ln(1/θ − 1)]; θ=.01, factor 5.89 A one-generation threshold model. Applying its factor to deCODE’s multi-generation matrilines is not justified. The earlier roughly 360,000-y result is therefore superseded as a date claim.
Norfolk Jeanson expectation under fixed-event interpretation 0.1583 × 345 = 54.61; observed fixed count 2 Model comparison is informative only if the numerator and denominator describe the same fixed whole-genome event class.

The distinction between 0.00580 and 0.00538 is small numerically but important methodologically. One is a direct event count per actual transmission; the other is a published annual rate converted with a nominal generation. They are two estimates with different denominators and should remain separate.

Bottlenecks, heteroplasmy and maternal age

Source Sample and counted class Bottleneck or age result Status
deCODE 2024 16 116,663 transmissions; thresholded mutation-frequency variance Nₑ about 2–3 Model estimate for effective segregation variance, not a universal molecule count and not a rate divisor.
Zaidi 2019 14 249 transmissions; inferred heteroplasmy segregation N≈10.3, 95% HPD 8.5–12.3 Model estimate; its 0.00782 fixing rate is not a direct fixed count.
Rebolledo 2014 11 39 pairs; ≥1% heteroplasmies and a threshold model N≈30–35; arising α=.143, fixing μ=.0045 Model depends on detection threshold, tissue and frequency process.
Guo 2013 10 26 transmissions; 3,981× deep sequencing N≈200 Deep-sequencing estimate in that assay and tissue; not a universal human N.
Arbeithuber 2025 17 Mature oocytes; all 63 inherited heteroplasmies N=909.39, CI 0.47–5,329.73 Very broad interval; post-oogenesis event class.
Arbeithuber 2025 17 30 high-confidence inherited events N=1,040.03, CI 0.34–11,089.05 Same assay, different event class; broad interval.
Arbeithuber 2025 17 27 events at ≥1% N=30.41, CI 0.02–178.53 The estimate is close to the Rebolledo scale only after selecting a similar threshold class.
Arbeithuber age groups 17 Oocytes grouped by donor age N=25.03, 38.60, 28.38; no significant difference Does not support treating N=3 as settled.
Rebolledo maternal age 11 Child heteroplasmy counts and mothers’ somatic counts P=.010, .005, .006; somatic count triples over 30 y Heteroplasmy counts, not fixed substitutions.
Wei maternal age 13 Observed blood heteroplasmies P=6.42 × 10⁻¹¹; R²≈.17 Strong association with modest explained variance; not a fixed germline rate.
Ding maternal age 12 Lymphocyte heteroplasmy observations P=6.2 × 10⁻⁵; roughly one increase over ages 20–90 Somatic or observed heteroplasmy class, not a measured fixation law.
Zaidi maternal age 14 Pedigree heteroplasmy segregation Positive association; bottleneck intensifies with age Functional form and transfer to ages beyond the sampled range remain unmeasured.

The former age extrapolation is retained only as arithmetic. With age 20 as 1, the exponential curve 3^(Δage/30) gives 2.1 at 40, 4.3 at 60, 9 at 80, 18.7 at 100 and 38.9 at 120. The linear curve 1 + 2Δage/30 gives 2.3, 3.7, 5, 6.3 and 7.7 at those ages. Ages 100–120 are a young-earth input, not an observed maternal sample. The direct oocyte result, P=.688 for age increase, is a reason to keep this as a sensitivity scenario rather than an empirical multiplier.

Under a simple neutral model, a variant at frequency f has eventual fixation probability f in a randomly followed lineage. A narrower bottleneck changes sorting variance and time to loss or fixation. It does not by itself multiply the long-run fixation expectation. A proposed bottleneck rescue must specify molecule number, tissue, timing, selection, threshold and the output class being predicted.

Generation intervals: sex and ancestry labels are required

Wang et al. inferred generation intervals from the de novo mutation spectrum over the past 250,000 years. Their global estimates are sex-specific: female 23.2 ± 3.0 y and male 30.7 ± 4.8 y, with a sex-averaged overall interval of 26.9 ± 3.4 y. Their African estimate of 26.9 ± 3.5 y and non-African regional estimates of 20.1 ± 3.9, 20.6 ± 3.8 and 21.0 ± 3.7 y are sex-averaged. They are not female-generation estimates.

Generation input Population or sex label Status and use
23.2 ± 3.0 y Wang global female Model-inferred female interval; relevant to a maternal lineage only as an assumption about the matching population and period.
30.7 ± 4.8 y Wang global male Model-inferred male interval; does not set a mitochondrial transmission interval.
26.9 ± 3.4 y Wang global sex-averaged Model-inferred overall interval. Connell’s published yearly rate uses 26.9 y in its standardization.
26.9 ± 3.5 y Wang African ancestry, sex-averaged Not a female interval.
20.1 ± 3.9 y Wang East Asian ancestry, sex-averaged Not a female interval.
20.6 ± 3.8 y Wang European ancestry, sex-averaged Not a female interval.
21.0 ± 3.7 y Wang South Asian ancestry, sex-averaged Not a female interval.
28.3 y Madrigal pedigrees, female Directly reported female-generation estimate for that genealogy sample.
20–25 y Older clock conversions Historical convention; each table row must state the region and count class before applying it.

Marriage age, maternal generation interval and the age at which a daughter who continues a sampled maternal line is born are different quantities. A 15-year generation assumption increases the number of transmissions in a fixed span, but it does not establish the number of mtDNA substitutions per transmission or per year.

Ancient-DNA rates and the new root-to-tip regression

Ancient-tip rates are model estimates calibrated by dated specimens. They are not direct observations of a mutation in a living family. Different studies use different sequence panels, dates, demographic priors and treatment of recurrent substitutions.

Study or fit Sample and method Rate, substitutions/site/year Per 25-year generation, same whole-molecule class Status
Fu 2013 19 10 dated ancient plus 311 modern; Bayesian relaxed clock 2.67 × 10⁻⁸ 0.0111 whole-molecule substitutions/gen Ancient-tip model output.
Brotherton 2013 20 39 Neolithic/Bronze Age genomes; Holocene calibration 2.4 × 10⁻⁸ 0.0099 whole-molecule substitutions/gen Ancient-tip model output.
Rieux 2014 21 26 retained ancient plus 320 modern; tip/node/root comparisons 2.143 × 10⁻⁸ 0.0089 whole-molecule substitutions/gen Main published tip-calibrated rate.
Fu 2014 22 Ust’-Ishim tip plus 311 modern 2.53 × 10⁻⁸ 0.0105 whole-molecule substitutions/gen Ancient-tip model output.
Posth 2016 23 66 dated plus 311 modern; Bayesian skyline 2.74 × 10⁻⁸ 0.0114 whole-molecule substitutions/gen Ancient-tip model output.
Cabrera 2021 youngest bin 24 423 dated plus 784 modern; direct-count time bins 4.33 × 10⁻⁸ 0.0179 whole-molecule substitutions/gen Youngest-bin rate; time dependence is part of the result.
Cabrera 2021 oldest bin 24 Same dataset and method 1.91 × 10⁻⁸ 0.0079 whole-molecule substitutions/gen Oldest-bin rate.
Översti & Palo 2022 25 42 Holocene U4 genomes; root-to-tip regression 8.80 × 10⁻⁸ 0.036 whole-molecule substitutions/gen Fast clade-specific model with R²≈.37 and inferred root about 12,723 y; not a universal human rate.
Replacement pooled regression 229 dated ancient U genomes; one shared slope, one intercept 1.740677385 × 10⁻⁸ 0.007252 whole-molecule substitutions/gen In-house fit; within-clade explanatory R²=.137 and total R²=.137.
Replacement subclade-intercept regression Same 229 genomes; five subclade intercepts 2.591524113 × 10⁻⁸ 0.010798 whole-molecule substitutions/gen In-house fit; within-subclade R²=.338 and total R²=.556. The exact rate is retained so the calculation can be reproduced.
Replacement subclade fit, <20,000 cal BP 223 genomes; four groups 1.528495735 × 10⁻⁸ 0.006369 whole-molecule substitutions/gen In-house model; within R²=.069 and total R²=.541.
Replacement subclade fit, <10,000 cal BP 206 genomes; four groups 1.479343507 × 10⁻⁸ 0.006164 whole-molecule substitutions/gen In-house model; within R²=.040 and total R²=.534.
Replacement subclade fit, <7,000 cal BP 130 genomes; four groups 9.090647045 × 10⁻⁹ 0.003788 whole-molecule substitutions/gen In-house model; within R²=.00493 and total R²=.522. The within-group fit is effectively weak.
Replacement subclade fit, <6,000 cal BP 111 genomes; four groups 1.155996222 × 10⁻⁸ 0.004274 whole-molecule substitutions/gen In-house model; within R²=.004153 and total R²=.529. The low within-group R² is a material limitation.

The regression’s 2.591524113 × 10⁻⁸ rate is not a measured pedigree rate. It is a slope from dated ancient genomes with group-specific intercepts. The high total R² partly reflects between-subclade intercept differences, while the within-subclade fit is only .338. In the <6,000-cal BP subset the total R² remains .529 but within-group R² falls to .004153. That distinction prevents a strong claim that a single short-timescale molecular clock has been measured.

Standardized age calculations and published ages

The following standardized outputs divide Behar’s 57.1 root-to-tip substitutions by a published whole-molecule rate and 16,569 bp. They are arithmetic comparisons, not necessarily the source authors’ TMRCA estimates.

Rate used Standardized age from 57.1 root-to-tip changes Published or source-specific age Why they differ
Connell fixed-only 1.30 × 10⁻⁸/site/y about 265,000 y Table 2 rate, not a complete Eve analysis Two fixed events; broad sampling uncertainty.
Soares corrected phylogenetic 1.665 × 10⁻⁸/site/y about 207,000 y Authors’ about 192,400 y; Behar root-to-tip about 207,000 y Different tree anchor and correction conventions.
Rieux 2.143 × 10⁻⁸/site/y about 161,000 y Published TMRCA about 143,000 y The 161 ka number is a standardized 57.1/whole-genome calculation, not Rieux’s published TMRCA.
Fu 2013 2.67 × 10⁻⁸/site/y about 129,000 y Fu’s complete Bayesian analysis Standardized division omits the source’s tree and posterior model.
Posth 2016 2.74 × 10⁻⁸/site/y about 126,000 y Posth’s complete Bayesian analysis Same limitation.
Earlier Jeanson 0.1583/genome/generation about 9,000 y at 25 y/gen Historical young-earth model output Treats the source discordance count as a fixed whole-genome rate.

Rieux’s individual-tip sensitivity analysis gave 21 rates from ancient samples aged 2,535–39,464 years: mean 2.391 × 10⁻⁸, standard deviation 0.077 × 10⁻⁸ and coefficient of variation 3.2%. This is evidence that one tip did not dominate that analysis, but it remains a model result over a selected sample set.

Ape-calibrated rates and the Endicott source correction

Study Data, region and calibration Rate or output Status
Horai 1995 26 3 human plus 4 ape genomes; ape split 13 Ma and human-chimp output 4.87 Ma 3.89 × 10⁻⁸ synonymous; 7.00 × 10⁻⁸ D-loop Calibration-dependent rate; site classes differ.
Ingman 2000 27 53 human plus chimp genomes; assumed 5 Ma split; D-loop excluded 1.70 × 10⁻⁸/site/y Model output for the measured region, not the whole molecule.
Mishmar 2003 28 104 coding genomes; assumed human-chimp 6.5 Ma 1.26 × 10⁻⁸/site/y Coding-region, calibration-dependent output.
Kivisild 2006 29 277 genomes; synonymous transitions; 6–6.5 Ma split 3.5 × 10⁻⁸ synonymous/site/y Synonymous class only.
Endicott & Ho 2008 30 177 genomes, 11,940 bp; human-chimp calibration 5–7.5 Ma about 162 ka TMRCA; coding first+second rate 3.82 × 10⁻⁹/site/y Correct paper: “A Bayesian evaluation of human mitochondrial substitution rates,” AJHG 82:895–902, DOI 10.1016/j.ajhg.2008.01.019, PMC2427281.
Endicott & Ho internal calibration 30 Same panel and software; Sahul settlement 40–55 ka about 108 ka TMRCA; 1.30 × 10⁻⁸/site/y in the cited coding comparison An alternative calibration, not an independent mutation count.
Soares 2009 31 More than 2,000 genomes; 6.5 Ma split plus 0.5 Ma coalescence 1.665 × 10⁻⁸/site/y; about 192.4 ka authors’ date Model output after a purifying-selection correction.

The local files labeled endicott-2008b.* and henn-2009.* contain Henn et al.’s 2009 paper, Characterizing the Time Dependency of Human Mitochondrial DNA Mutation Rate Estimates. They are the wrong paper for the Endicott citation. The Endicott citation must use DOI 10.1016/j.ajhg.2008.01.019 and PMC2427281; the source register and footnote should be repaired before publication.

Subramanian and Lambert’s actual 2011 paper is Time Dependency of Molecular Evolutionary Rates? Yes and No, Genome Biology and Evolution 3:1324–1328, DOI 10.1093/gbe/evr108, PMC3236606. Its table gives a 10.8-fold H1/human-chimp ratio for nonsynonymous sites and 1.2-fold for synonymous sites. The 10.8/1.2 numbers therefore belong to the 2011 paper, not Subramanian et al. 2009. The abstract attributes the difference to constrained-site evolution and reports similar synonymous rates across timescales; it does not say that the mutation mechanism itself changes by 10.8-fold.

Living, archaic and regional distance panels

These are observed sequence distances from the audited alignments. They are not measured mutation rates. A root-to-tip distance, a mean pairwise distance and a per-branch distance from a pairwise common ancestor are different estimands.

Panel Sample and distance definition Whole molecule mean; maximum HVR-I / HVR-II / rest / coding mean; maxima
Living humans 32 54 genomes; pairwise distances 59.4; 106 8.2/19; 5.8/16; 1.9/5; 43.52/87
Behar human root 33 18,843 complete genomes; reconstructed-root to tip mean 57.1; range 41–77 Not the same estimand as the regional pairwise table.
Neanderthals 32 36 records representing 35 individuals after duplicate removal; pairwise distances 31.5; 118 5.8/20; 3.6/10; 1.0/6; 21.1/93
Denisovans 32 7 records; pairwise distances 42.8; 86 8.3/14; 4.7/9; 0.8/2; 29.0/61
All three groups 32 97 genomes; pooled pairwise distances 154 pooled; 391; human-Neanderthal 199 (225), human-Denisovan 361 (391), Neanderthal-Denisovan 350 (378) 15.6/34; 7.3/16; 4.6/17; 127/341
Kim & Schuster 34 Living human pairwise panel global mean 39.8; maximum 123 CR 9.9; coding 43.52 in the exact audited 54-genome panel

Behar’s 57.1 is a root-to-tip mean across 18,843 complete genomes. The 8,216 number is the subset of additional sequences used in a particular refinement step, not the sample size attached to the reported root-to-tip distance. The old wording that connected 57.1 to 8,216 is superseded. Likewise, the living-human mean pairwise distance 59.4 is not the root-to-tip mean, and half of 59.4 gives 29.7 only as a pair-specific branch approximation. It cannot be inserted beside 57.1 in one Eve-clock equation.

The earlier root-to-tip regional decomposition used HVR-I 7.9, HVR-II 5.5, rest 1.8, control region 15.3 and coding 41.8. Those are model inputs from a particular tree decomposition. They should not be substituted for the panel means above without saying that the anchor changed.

Root and founder arithmetic

The PhyloTree Build 17 parse contains 5,434 nodes, 3,043 terminal branches, 1,347 branch points, 865 bifurcations and 482 polytomies. Its reconstructed root has two children, L0 and L1'2'3'4'5'6, with ten and eight stem substitutions in the stored reconstruction. Behar’s independent reconstruction gives the same binary root. The eight substitutions on the L1'2'3'4'5'6 stem have a computed expected homoplasy count of 0.0598, estimated chance probability 3.9 × 10⁻¹⁵ and site bootstrap 99.967% in the audited Build 17 analysis.

The tree describes sequence relationships. It does not count the three daughters-in-law in a Flood model. Three maternal founder lines can split sequentially and produce a binary tree; one can also go extinct or two founders can carry the same sampled sequence. The genuine seven-child L3 polytomy, 35 substitutions below the reconstructed root and containing M and N, is a star-like feature in the observed tree, not a demonstrated Ark-founder event.

The earlier pre-Flood calculation used about 1,650 years in prose and 1,656 years in its table. The table’s 1,656-year convention should be stated whenever that calculation is repeated. At 6,000 years, 25 years/generation and 57.1 root-to-tip changes, a one-starting-sequence model requires 57.1/240 = 0.2379167 retained whole-genome changes per generation along one branch. This is a model requirement, not a measured rate. It does not apply unchanged if the starting population carried several divergent mitochondrial genomes.

Archaic distance and unequal-tip-age checks

The archaic corpus contains 36 records and 35 individuals after the duplicated Goyet Q56-1 sequence is removed. Screened whole-molecule distances range from 178–209 substitutions; the broader all-record 170–209 range comes from a different reference-based comparison and is not the same screened human–Neanderthal pair panel. The audited human-Neanderthal mean is 199.35 whole-molecule substitutions, coding mean 164.29 and control-region mean 35.06. The corresponding exact-panel human-human means are 59.4 whole molecule, 43.52 coding and 15.88 control region. Region and masking rules must travel with every archaic number.

The whole-molecule transversion means are 4.12 for human-human, 11.81 for human-Neanderthal and 20.66 for human-Denisovan. Relative to human-human, the archaic ratios are 2.87× and 5.01×. Coding-region transversion means are 2.72, 8.32 and 17.16, giving 3.06× and 6.31×. These are resistant to the specific C→T/G→A cytosine-deamination mechanism, although library-specific damage, mapping bias and masking still require sample-level checks.

Tajima relative-rate statistic

With a Denisovan outgroup and the uncorrected whole molecule, the audited branch counts are N=89 and human=88, ratio 1.011, 95% interval 0.754–1.356 over 16,528 informative sites. Coding gives 68/79=.861, interval .623–1.189; control gives 21/9=2.333, interval 1.089–5.001. With chimpanzee, whole molecule gives 82/95=.863, interval .643–1.159; control gives 16/15=1.067, interval .535–2.128. Across 1,890 human-by-Neanderthal pairs, the mean Neanderthal branch is 93.635, the human branch 102.884, ratio .910; the Neanderthal branch is longer in 8.1% of pairs. Leave-one-out whole-molecule ratios range 1.011–1.023, mean 1.017.

The statistic compares branch lengths to sampled tips. For unequal tip ages, its approximate expectation is A/B = (μ_N × t_N)/(μ_H × t_H), so μ_N/μ_H = (A/B) × (t_H/t_N). If a young-earth model places the common ancestor at creation 6,000 years ago, the human branch lasts 6,000 years and a Neanderthal lineage ends 3,000 years ago, the observed 1.011 becomes about 2.02 after duration correction. If the lineage ends 2,000 years ago, it becomes about 1.52; if it ends 4,000 years ago, about 3.03. The uncorrected 1.011 is therefore not a universal rate estimate or upper bound.

If the human-Neanderthal pairwise ancestor is conditionally placed at the reconstructed human root, the archaic root-to-tip distance is 199.35 − 57.1 = 142.25. Relative to 57.1, that is 2.49 for equal elapsed durations. With a 6,000-year modern branch and a 3,000-year archaic branch, the duration-adjusted ratio is about 4.98. These are model outputs that assume a shared root, additive distances, no ancestral heteroplasmy and the chosen extinction window. They replace the former 5.7×, 11.4× and 11–22× “requirements,” which used 29.7 as though it were the root-to-tip distance.

Internal diversity also matters. Neanderthal mean pairwise distance is 31.5 versus 59.4 in living humans, and Denisovan mean is 42.8. The former calculations predicted 339 and 662 internal differences under the old 5.7× and 11.1× assumptions and then inferred 436- and 303-year internal TMRCAs. Those are historical, superseded model outputs because the multipliers came from the invalid 29.7 decomposition. Low archaic internal diversity remains awkward for a simple sustained mutator, but a valid prediction must include extinction timing, coalescence, demography and sample structure.

Mechanism panels relevant to a young-earth model

Mechanism or panel Quantitative result What it does and does not show
POLG mutator mouse 35 Proofreading-deficient PolgA increases somatic mtDNA point mutations about 3–5× and increases deletions Demonstrates a real mutator mechanism in mice; does not give a human or Neanderthal germline multiplier.
Maternal transmission selection 36 Rapid elimination of many nonsynonymous mtDNA changes in mutator-mouse transmission Separates mutation appearance from inherited persistence.
Neanderthal repair-gene scan 37 206 genes; 15/924 Neanderthal amino-acid changes versus 1.32% expected; modern 11/769; Fisher P=.84 Finite coding-SNV scan; it does not exclude regulatory, indel, structural or low-coverage mechanisms.
Denisovan core fidelity panel 38 19 genes, 57,731 coding bases; 13 protein-changing variants; all PolyPhen-benign/SIFT-tolerated; 99.9% called and 97.9% at ≥10× Useful negative for that coding panel, not a direct fidelity assay. POLRMT and WRN coverage gaps remain material.
POLG Leu580Pro 39 Altai 2/2 at 39×; Vindija one copy; living frequency about 6.9 × 10⁻⁷; mammal conservation 99.2%; GERP 4.99; adjacent R574W/R579W/P587L disease variants A candidate worth testing. It lies outside the annotated exonuclease motifs and has no direct replication-fidelity assay.
Denisovan POLG state ancestral 0/0 at 21×; Altai Neanderthal derived 2/2 at 39× Negative for a shared archaic POLG state in the sampled Denisovan genome.
Kerala radiation comparison 6 22 heteroplasmies/595 high-radiation versus 1/200 low-radiation, about 7.4×; none of 23 fixed Radiation can raise appearing heteroplasmy; this did not measure a fixed whole-genome clock multiplier.
Baishiya versus Altai dose 40 Baishiya 3,280 m, estimated cosmic 1,580 and total 2,300 μSv/y; Altai about 700 m and 1,100 total An environmental proposal; the high-coverage Denisovan mtDNA used for the branch comparison came from Altai, not Baishiya.
Sima de los Huesos 41 Molecular estimate about 400 ka; physical minimum 427,000 ± 12,000 y A concordant old-age case under conventional calibration, with mtDNA/nuclear discordance and reference-bias limits.

POLG is nuclear-encoded and biparentally inherited. A lineage-associated allele could be recessive, structured or selected against, so failure to find it in modern humans is not decisive by itself. The positive claim also has a high burden: an archaic allele must produce the required fixed, genome-wide mtDNA substitutions while preserving the observed archaic branch, internal diversity and unequal tip ages. Computer predictions and neighboring disease variants do not establish that effect.

Ancestral heteroplasmy is a separate possible starting condition. To explain archaic-scale fixed differences without a rapid post-Flood mutation rate, a model must specify divergent founder molecules, predict correlated high-frequency allele blocks in early descendants and show that the ordinary bottleneck and selection process can remove the mixture by the observed time. If the proposal instead generates new heteroplasmy after the Flood, it returns to the measured appearance-to-fixation problem.

Historical age ledger

The dates below are retained because they appeared in the earlier article or are useful to compare rate classes. They are backward extrapolations or model outputs, not ages directly measured by the pedigree studies.

Study or input Historical or source-specific age output Count/rate basis and current treatment
Howell 1996 1 about 14,000 y 2/88 CR events; historical extrapolation.
Parsons 1997 2 about 8,200 y in the earlier calculation; authors’ illustrative about 6,500 y Correct count is 10/327 HVR-I+II events; historical fast-clock output, not an accepted date in the paper.
Cavelier 2000 3 >30,000 y Zero fixed CR changes in 292; upper-bound model.
Sigurðardóttir 2000 4 about 64,000 y; about 38,000 y after Howell re-score 3/705 versus 5/705 HVR-I+II changes in the paper’s 673-bp mask; historical calculations.
Heyer 2001 5 about 53,000 y 4/508 and pooled 18/1,729 HVR-I+II observations in the 673-bp mask.
Forster 2002 6 about 48,000 y low radiation; about 6,400 y high radiation 1/200 versus 22/595 CR heteroplasmies; no fixed events.
Howell 2003 7 about 29,000 y; about 15,200 y mean pair; about 31,700 y deepest split 28/2,633 CR divergence. These are rate conversions, not full Eve estimates.
Santos 2005 8 about 17,000 y germinal; about 85,000 y corrected model 6/321 versus model .0037 HVR-I+II events/transmission.
Madrigal 2012 9 about 9,000 y maximum; about 25,000 y minimum HVR-I pedigree ranges; abstract and Results rates differ.
Guo 2013 10 >15,000 y Zero fixed changes in 26; confidence-bound model.
Rebolledo 2014 11 about 870 y appearing; about 265,000 y fixing 1.31 observed versus .0045 model-estimated fixing rate.
Ding 2015 12 about 4,100 y .42 observed heteroplasmy gains; not a fixed clock.
Jeanson 2015 18 about 9,000 y .1583 treated as fixed whole-genome events; model output and classification disputed.
Wei 2019 13 about 5,500 y appearing; about 890,000 y near-fixing .3126 arising versus .0020 >80% detected event classes.
Zaidi 2019 14 about 220,000 y .00782 model fixing rate.
Connell 2022 all 15 about 59,000 y; CR about 30,000; coding about 97,000 9/345 all detected events; mixed class.
Connell 2022 fixed 15 about 264,000 y 2/345 fixed events; broad small-sample uncertainty.
deCODE 2024 16 about 24,000 y raw; about 61,000 y after /3; about 360,000 y after imported threshold correction Three incompatible model choices; retain only as a sensitivity ledger, not dates supported by one statistical model.
Arbeithuber 2025 17 about 1,900 y; CR about 900; coding about 3,500 .74 detected oocyte events; not a fixed-substitution clock.
Soares 2009 31 192,400 y authors’ date; 207,000 y standardized Behar root-to-tip output 1.665 × 10⁻⁸/site/y model rate.
Rieux 2014 21 about 143,000 y published TMRCA; about 161,000 y standardized 57.1 output The 161 ka result is a conversion, not the published TMRCA.
Endicott & Ho 2008 30 about 162,000 y external; about 108,000 y internal Correct Endicott paper and DOI; calibration changes the output.

The historical fast estimates are useful because they show what a young-earth calculation would need to explain. They are not interchangeable: some use CR detections, some use all heteroplasmy, some use model-estimated fixation and some use ancient-tip or ape calibration. The age column should never be read without its count or rate basis.

Audit trail and remaining issues

The load-bearing checks used these local bytes and dossiers:

Claim family Local evidence checked
Parsons denominator PMID 9090380 abstract and the supplied original pedigree dossier; both support 10/327.
Howell rate and interval sources/papers/howell-2003_pedigree-rate-sequence-divergence-mtdna.pdf, Table 2, methods and coding Results; the source says 99.5% interval.
Connell counts and rate sources/papers/connell-2022_norfolk-island-mtgenome-mutation-rate.pdf, abstract, Results/Table 2 and Discussion.
deCODE and oocyte data Local readable Árnadóttir and Arbeithuber extracts and the supplied rates audit.
Behar sample and root distance sources/papers/behar-2012_copernican-reassessment-rsrs.md, methods and root-distance section.
Rieux rates sources/papers/rieux-2014d_improved-calibration-human-mitochondrial-clock.md and XML/supplement tables.
Wang intervals sources/papers/wang-2023_human-generation-times-250kyr.md, abstract, Results and ancestry section.
Endicott identity DOI 10.1016/j.ajhg.2008.01.019, PMC2427281; local files labeled Endicott were checked and found to contain Henn 2009.
Subramanian identity /home/projects/bereanarchive/sources/papers/subramanian-2011b_time-dependency-molecular-rates.xml and .md, including metadata, abstract and Table 1.
Archaic panels Supplied archaic-audit.md and archaic-corrections-check.md, including alignment, branch, transversion, POLG and repair-panel outputs.
Regression research/recheck-results.json; exact slopes and R² values are reproduced above.

Not every historical analysis was rerun. The companion preserves source-audited counts and explicitly labels in-house conversions and model outputs. It does not claim that a changed denominator, rate class or regression refit automatically resolves the biological question. The remaining empirical problem for a young-earth model is to reproduce, in one specified model, the living pedigree counts, frequency spectrum, fixation class, ancient-tip branches, human root distances, archaic distances, internal diversity and unequal-tip ages.

The strongest quantitative evidence for a fast young-earth argument is the direct pedigree contrast: Parsons’ 10/327 HVR events, the higher detected-event rates in deCODE and Arbeithuber, and the possibility of pre-existing founder variation. The strongest evidence against treating that contrast as a complete clock is the small fixed-event count in Connell, the broad and class-dependent bottleneck estimates, the ancient-tip rate cluster near 2–3 × 10⁻⁸/site/y, and the archaic branch and internal-diversity constraints. None of these categories can be collapsed into one number without changing the claim being tested.

Sources


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    Howell, Neil et al.  “How rapidly does the human mitochondrial genome evolve?”  American Journal of Human Genetics 59(3):501–509.  1996.  Page 501:  “triplasmic descendants with three mitochondrial genotypes”.  Both mutations produced these descendants, which are heteroplasmic (carry more than one mitochondrial type), not fixed.  A pedigree study that opened the pedigree-rate literature.  It sequenced the D-loop (control region) of 45 members of a large matrilineal Leber hereditary optic neuropathy pedigree and found two germline mutations in 88 transmissions, normalised here as 2/88 over 1,122 bp of control region.  The article uses it as one row of its table of pedigree rates. ↩ ↩

  2. 2.

    Parsons, Thomas J. et al.  “A high observed substitution rate in the human mitochondrial DNA control region.”  Nature Genetics 15(4):363–368.  Apr 1997.  A genetic study that sequenced 610 base pairs of two hypervariable segments (HV1 and HV2) of mitochondrial DNA directly in 327 mother-to-child transmissions, not by RFLP analysis as one online rebuttal says.  It found a substitution rate of 2.5 per site per million years, about 20 times the rate predicted by phylogenetic analyses.  The article uses it because its authors worked out the age that this fast rate gives, about 6,500 years, and called it clearly incompatible with the known age of modern humans. ↩ ↩

  3. 3.

    Cavelier, Lucia et al.  “MtDNA substitution rate and segregation of heteroplasmy in coding and noncoding regions.”  Human Genetics 107(1):45–50.  2000.  The study reports:  “No homoplasmic nucleotide substitutions were detected in a total of 292 transmissions.”  The forgotten null result, and the first study to count fixed changes specifically.  The article uses it as the no-fixed-changes row of its table of pedigree rates. ↩ ↩

  4. 4.

    Sigurðardóttir, Sigrún et al.  “The mutation rate in the human mtDNA control region.”  American Journal of Human Genetics 66(5):1599–1609.  2000.  A pedigree study of the control region of mtDNA in 272 people from 26 large Icelandic family trees, covering 705 mother-to-child transmissions, which found 3 substitutions.  Howell 2003 re-scored the same dataset as 5 by counting newly arising heteroplasmies as well, which shows the arising-versus-fixing distinction inside a single dataset.  The article uses it as one row of its table of pedigree rates. ↩ ↩

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    Heyer, Evelyne et al.  “Phylogenetic and familial estimates of mitochondrial substitution rates: study of control region mutations in deep-rooting pedigrees.”  American Journal of Human Genetics 69(5):1113–1126.  2001.  The authors write that hypermutable sites.  “are expected to be of no or little informativity for the evaluation of mutational distances at the phylogenetic time scale.”  A pedigree study of control region mutations in deep-rooting French-Canadian family trees, which found 4 substitutions in 508 maternal transmissions over 673 bp.  Its more important result is the pooled one: of 18 substitutions in 1,729 transmissions, only 12 were at independent sites, because three positions had each mutated twice.  The article uses it as the direct empirical rebuttal to any argument that extrapolates a control-region pedigree count backwards. ↩ ↩

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    Forster, Lucy et al.  “Natural radioactivity and human mitochondrial DNA mutations.”  PNAS 99(21):13950–13954.  2002.  A pedigree study of 248 families in Kerala, covering 579 bp of the control region, compared with families on low natural radiation.  It counts new heteroplasmies explicitly and exclusively: 22 in 595 high-radiation transmissions against 1 in 200 low-radiation transmissions, and none of the 23 was fixed.  The article uses the low-radiation arm as its figure, and uses the study as its test of an environmental insult: a severe natural exposure raised arising mutations without fixing any. ↩ ↩ ↩

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    Howell, Neil et al.  “The pedigree rate of sequence divergence in the human mitochondrial genome: there is a difference between phylogenetic and pedigree rates.”  American Journal of Human Genetics 72(3):659–670.  2003.  It counts arising, not fixing, in the paper's own words:  “All newly arising substitutions, both heteroplasmic and homoplasmic, were included in our divergence-rate estimates.”  A pooled analysis of nine control-region pedigree studies, counting 28 mutations in 2,633 transmissions and counting every newly arising change, whether it sat in some of a person's mitochondrial copies or in all of them.  Its figure of 0.95 mutations per base pair per million years is a divergence rate, twice the mutation rate, which is verifiable from the paper's own table; halving it and keeping it inside the 1,122 base pairs of the control region gives the 4.72 × 10-7 tabulated in the article.  It is the canonical pooled control-region figure, and the article relies on it.  Multiplying the published figure by 16,569 sites and doubling it, as Carter 2025 endnote 10 does, inflates the answer roughly thirty-fold. ↩ ↩ ↩

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    Santos, Cristina et al.  “Understanding differences between phylogenetic and pedigree-derived mtDNA mutation rate: a model using families from the Azores Islands (Portugal).”  Molecular Biology and Evolution 22(6):1490–1505.  2005.  The authors write:  “Eleven new point substitutions were found, all of them in heteroplasmy, from which five appear to be somatic mutations and six can be considered germinal.”  The last-named author is Aluja, María Pilar.  A pedigree study of Azores families, built as a model to explain why phylogenetic and pedigree mutation rates differ.  It is the first study to correct an arising count into a fixing rate explicitly, and zero reached homoplasmy.  The tabulated rate is the corrected figure, a model output; the raw data are 6 germinal mutations in 321 transmissions.  The article uses it as its model-corrected Azores row. ↩ ↩

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    Madrigal, Lorena et al.  “High mitochondrial mutation rates estimated from deep-rooting Costa Rican pedigrees.”  American Journal of Physical Anthropology 148(3):327–333.  2012.  A pedigree study of 19 deep-rooting genealogies from Costa Rica, covering 289 meioses (transmissions from parent to child), that found 7 mutations in hypervariable region I, the fast-changing part of the control region.  The paper uses a measured female generation interval of 28.3 years, which is worth noting against the 15 years the young-earth calculation requires; its abstract headline rate of 1.24 × 10-6 per site per year could not be reproduced from its own Results or Table 2, which give 2.51 × 10-6 (maximum) and 0.89 × 10-6 (minimum).  The article quotes its authors' caution that the fast and slow estimates should both be considered. ↩ ↩

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    Guo, Yan et al.  “Very low-level heteroplasmy mtDNA variations are inherited in humans.”  Journal of Genetics and Genomics 40(12):607–615.  2013.  Their finding, in their words:  “Homoplasmic SNPs were inherited without exception within each family.”  A sequencing study of 26 mother-child pairs at a median depth of 3,981-fold, more than twenty times deeper than the Sardinian data the young-earth rate is built on.  It found zero fixed changes in 26 transmissions, where Jeanson's rate predicts 4.1; the article uses it as a test of that rate. ↩ ↩ ↩

  11. 11.

    Rebolledo-Jaramillo, Boris et al.  “Maternal age effect and severe germ-line bottleneck in the inheritance of human mitochondrial DNA.”  PNAS 111(43):15474–15479.  2014.  A study of 39 mother-child pairs, using blood and buccal (cheek) tissue sequenced at 20,000-fold coverage with a 1% detection threshold, that asks whether a mother's age changes the mitochondrial DNA she passes on.  It estimated the germline bottleneck at 30-35 mitochondrial genomes.  The article uses it for the bottleneck formula that separates mutations that arise from mutations that become fixed, and for its maternal-age numbers. ↩ ↩ ↩ ↩

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    Ding, Jun et al.  “Assessing Mitochondrial DNA Variation and Copy Number in Lymphocytes of ~2,000 Sardinians Using Tailored Sequencing Analysis Tools.”  PLoS Genetics 11(7):e1005306.  2015.  A study that sequenced lymphocytes (white blood cells) from about 2,000 Sardinians at roughly 180-fold coverage and reported how often mothers and children share mitochondrial variants, which is concordance, not a mutation rate.  It is the study Jeanson's whole-genome rate rests on, and the article uses it to show that his rate repurposes a concordance figure as a mutation count. ↩ ↩ ↩

  13. 13.

    Wei, Wei et al.  “Germline selection shapes human mitochondrial DNA diversity.”  Science 364(6442):eaau6520.  2019.  A genetic study that sequenced 1,526 mother-offspring pairs and counted the new heteroplasmies in each child.  Supplementary Table S2 lists 13 de novo D-loop variants, but the rate printed on the same row requires 131; every other row is exactly consistent with n = 1,526, and this one implies n = 151.  It is a dropped digit.  The article uses it as its main direct comparison of mutations appearing with mutations staying.  Mirror:  Repository.cam.ac.uk ↩ ↩ ↩ ↩

  14. 14.

    Zaidi, Arslan A. et al.  “Bottleneck and selection in the germline and maternal age influence transmission of mitochondrial DNA in human pedigrees.”  PNAS 116(50):25172–25178.  2019.  A genetic study of heteroplasmy, the mix of mutant and normal mitochondrial DNA inside one person, in 96 multigenerational families, with two tissues per person and a mean sequencing depth of about 11,400-fold.  It estimated a germline bottleneck of 10.3 segregating units (95% HPD 8.5–12.3) and a germline rate of 4.72 × 10-7 per site per generation.  The heteroplasmy count is a measurement; the bottleneck correction that turns it into a fixation rate is a model.  The article uses it for the one measured lever on germline mutation, maternal age, and for the bottleneck that maternal age tightens. ↩ ↩ ↩ ↩

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    Connell, Jennifer R. et al.  “Pedigree derived mutation rate across the entire mitochondrial genome of the Norfolk Island population.”  Scientific Reports 12:6827.  2022.  A pedigree study that sequenced the complete mitochondrial genome of 225 individuals from 45 maternal lineages in the documented Norfolk Island genealogy, covering 345 mother-child transmissions, and found nine changes, seven of them heteroplasmic (a variant present in only some of a person's mitochondrial copies) and two fixed changes.  Counting all nine gives 0.058 mutations per site per million years; excluding the seven heteroplasmic changes gives 0.013, that is 1.30 × 10-8 per site per year, against the phylogenetic 1.665 × 10-8.  Jeanson's rate of 0.158 per generation predicts 54.6 fixed changes in 345 transmissions, and the probability of observing 2 or fewer is about 3 × 10-21; this is the cleanest direct measurement of the whole-genome fixing rate in a deep human pedigree and the most important source in the article. ↩ ↩ ↩ ↩

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    Árnadóttir, Erla R. et al.  “The rate and nature of mitochondrial DNA mutations in human pedigrees.”  Cell 187(15):3904–3918.e8.  2024.  A study from deCODE Genetics/Amgen in Reykjavik of 64,806 Icelanders from 2,548 matrilines, with 116,663 mother-child transmissions and 8,199 mutations, which the article calls the largest such study ever run.  The article gives the rate as 0.0703 mutations per genome per transmission.  The article uses it as its direct measurement of the pedigree rate, divided into the measured depth of the human mitochondrial tree, which gives roughly 24,000 years.  Mirror:  Decode.com ↩ ↩ ↩ ↩ ↩

  17. 17.

    Arbeithuber, Barbara et al.  “Allele frequency selection and no age-related increase in human oocyte mitochondrial mutations.”  Science Advances 11(32):eadw4954.  Aug 6, 2025.  The oocytes came from 28 eggs of eight women aged 20-29, 25 from six aged 30-34, and 27 from eight aged 35-42.  The age result, from the abstract:  “with age, mutations increased in blood and saliva but not in oocytes … mtDNA in human oocytes is protected against accumulation of mutations with aging and having functional consequences.”  The mixed model gives Z-test P = 2.7 × 10-3 for blood, 5.7 × 10-2 for saliva and 0.688 for oocytes; the permutation test on old versus young oocytes gives P = 0.550 and a 0.99-fold decrease.  The paper's count is 52 de novo mutations at minor allele frequency >= 1% over.  “70 mother-to-oocyte transmissions … the germline mutation rate to be 3.95 × 10-4 … and 1.95 × 10-5 … mutations per site per generation for the D-loop and coding region, respectively.”  The per-genome figure quoted in this article is computed from those two published rates over the regions they cover: 3.95 × 10-4 × 1,122 = 0.443 for the D-loop, and 1.95 × 10-5 × 15,359 = 0.300 for what the paper calls the coding region (protein-coding 11,341 bp, rRNA 2,513 bp and tRNA 1,505 bp).  The 88 bp of non-coding sequence outside the D-loop is reported separately and omitted here.  Together they give 0.743 mutations per genome per generation over the 16,481 bp rated, or 4.5 × 10-5 per site per generation and 1.8 × 10-6 per site per year at 25 years.  The implied Eve age divides Behar's 57.1 root-to-tip by that figure.  A 2025 study that applied duplex sequencing, whose error rate is below 10-7, to 80 single human eggs (oocytes) from 22 women aged 20 to 42, with blood and saliva from the same donors.  The article uses it as the only direct measurement of the quantity a young-earth rescue would need, and it points the wrong way for that rescue.  Mirror:  PMC ↩ ↩ ↩ ↩ ↩ ↩

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    Jeanson, Nathaniel T.  “A Young-Earth Creation Human Mitochondrial DNA 'Clock': Whole Mitochondrial Genome Mutation Rate Confirms D-Loop Results.”  Answers Research Journal 8:375–378.  2015.  A young-earth creationist article that builds a whole-genome mutation rate by pooling three whole-genome parent-child studies into one count of transmissions and mutations.  Its Supplemental Table 1, with formulas intact, reproduces every figure in Table 1 exactly when recomputed from its own inputs, so there is no arithmetic error in it.  The article uses it as the whole-genome step of Jeanson's clock argument.  Mirror:  Assets.answersresearchjournal.org ↩ ↩

  19. 19.

    Fu, Qiaomei et al.  “A revised timescale for human evolution based on ancient mitochondrial genomes.”  Current Biology 23(7):553–559.  2013.  A dating study that used ten radiocarbon-dated ancient mitochondrial genomes, spanning 40,000 years, as tip calibrations (samples of known age that anchor the clock), with no ape calibration anywhere in it.  It gives a whole-genome rate of 2.67 × 10-8 per site per year (95% HPD, the range the model gives the rate with 95% probability, 2.16-3.16) and a mitochondrial TMRCA, the time back to the most recent common ancestor, of 157,000 years (120,000-197,000); the same data analysed by linear regression give 1.92 × 10-8, a 39% difference, and the regression's own confidence interval spans a 2.3-fold range on nine points.  The article uses it for its calibrated rate in the comparison table and for the Cro-Magnon 1 redating quoted below. ↩

  20. 20.

    Brotherton, Paul et al.  “Neolithic mitochondrial haplogroup H genomes and the genetic origins of Europeans.”  Nature Communications 4:1764.  2013.  The last-named authors are Cooper, Alan and the Genographic Consortium.  A study of 39 complete haplogroup H genomes from Central European skeletons dated 5500-2000 BC.  Every calibration point sits inside the dendrochronologically anchored part of the radiocarbon curve, with no Pleistocene sample, no ape split and no Out-of-Africa node, and a date-randomisation test confirmed the dates carry enough signal.  The authors note their 2.4 × 10-8 is 1.45x the ape-calibrated 1.66 × 10-8.  The article uses it as its Holocene-only calibration row. ↩

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    Rieux, Adrien et al.  “Improved calibration of the human mitochondrial clock using ancient genomes.”  Molecular Biology and Evolution 31(10):2780–2792.  2014.  A recalibration of the human mitochondrial clock using 30 high-quality ancient whole mitochondrial genomes and 320 contemporary ones, of which 26 ancient genomes were kept after damage screening.  It gives a whole-genome rate of 2.143 × 10-8 per site per year and a mitochondrial time to the most recent common ancestor of 143,000 years (112,000-180,000).  One error to note: Table S3 lists the six Blätterhöhle samples' ages in calibrated BC while labelling the column "Age (CalBP)," so each is exactly 2,000 years too young.  The article uses it for the tip-calibrated clock and its tests of rate constancy, damage and calibration. ↩ ↩

  22. 22.

    Fu, Qiaomei et al.  “Genome sequence of a 45,000-year-old modern human from western Siberia.”  Nature 514(7523):445–449.  2014.  A genome study of one femur from Ust'-Ishim in western Siberia, dated by two independent radiocarbon measurements of 41,400 ± 1,300 and 41,400 ± 1,400 BP, which calibrate to 46,880-43,210 cal BP.  Its mitochondrial rate is 2.53 × 10-8 per site per year (95% HPD 1.76-3.23), and the abstract's rounded interval of 1.8 to 3.2 × 10-8 is not a point estimate; the paper's own supplement gives the rate of Fu 2013 as 2.47 × 10-8, where the published value is 2.67.  The article uses it as the single dated tip of its rate table and as its answer to the claim that fossil DNA is too degraded to use. ↩

  23. 23.

    Posth, Cosimo et al.  “Pleistocene mitochondrial genomes suggest a single major dispersal of non-Africans and a Late Glacial population turnover in Europe.”  Current Biology 26(6):827–833.  2016.  The last-named author is Krause, Johannes.  A study that recovered 35 new mitochondrial genomes from Late Pleistocene and early Holocene European hunter-gatherers.  It used 66 radiocarbon-dated ancient genomes as tip calibrations alongside 311 modern ones, spanning 3,600 to 46,880 cal BP, with roughly a third of the calibration points Holocene.  Four model combinations give 2.62, 2.67, 2.74 and 2.77 × 10-8; the preferred Bayesian-skyline strict-rate model gives 2.74 × 10-8 (2.44-3.01 HPD).  The article uses it as its table row for that model. ↩

  24. 24.

    Cabrera, Vicente M.  “Human molecular evolutionary rate, time dependency and transient polymorphism effects viewed through ancient and modern mitochondrial DNA genomes.”  Scientific Reports 11:5036.  2021.  A direct count of mutation differences between 423 radiocarbon-dated ancient genomes and 784 modern ones, binned into ten age periods, with no phylogenetic model at all.  Mean differences rise with age, almost monotonically (one small dip, from 1.63 to 1.51, at the fourth period): 0.63 at 1,119 BP, 3.28 at 8,504, 11.07 at 29,638, 14.39 at 40,160, which is arguably the cleanest single table in the subject.  Flagged discrepancy: the rates in its Table 2 cannot be reproduced from Table 1 by the paper's own stated formula, and reverse-engineering implies mutually inconsistent sequence lengths that are never stated.  The direction and monotonicity are not in doubt; the exact rate figures are not reproducible from published numbers, and are tabulated here with that caveat.  The article uses its youngest and oldest bins as two rows of its rate table. ↩ ↩

  25. 25.

    Översti, Sanni, and Jukka U. Palo.  “Variation in the substitution rates among the human mitochondrial haplogroup U sublineages.”  Genome Biology and Evolution 14(7):evac097.  2022.  A dating study of 234 ancient human mitochondrial genomes from haplogroup U, a branch of the maternal family tree, each dated by radiocarbon (calibrated years before present, cal BP).  Of these, 212 are Holocene and 84 are younger than 4,500 cal BP.  The authors ran twelve root-to-tip regressions (tests of how many mutations build up with time) on non-clock trees run in TempEst, all with positive slopes and R² from 0.10 to 0.84.  Their haplogroup U4 regression on 42 Holocene-only samples gives 8.80 × 10-8 per site per year, the fastest defensible figure in the literature and the best number available to the young-earth side; even it implies a U4 coalescence beyond 12,000 years, for one small twig of the tree.  The article uses it for the largest lineage-to-lineage rate difference in human mitochondrial DNA, about twofold between U2/U5a and U5b. ↩

  26. 26.

    Horai, Satoshi et al.  “Recent African origin of modern humans revealed by complete sequences of hominoid mitochondrial DNAs.”  PNAS 92(2):532–536.  1995.  A research paper that sequenced the complete mitochondrial DNA of three humans, three African apes and an orangutan to estimate how fast hominoid mtDNA changes and when modern humans shared a common ancestor.  The calibration is two steps removed from anything datable: the orangutan and African ape split is fixed at 13 million years, and the human-chimpanzee split of 4.87 ± 0.23 million years (Myr) comes out of that.  The paper's own data give two irreconcilable dates for the human ancestor: 143,000 ± 18,000 years from synonymous sites and the D-loop, and 450,000 ± 70,000 from nonsynonymous and RNA-gene sites.  Only the first is ever quoted.  The article uses it in its table of rate estimates, where it gives both dates. ↩

  27. 27.

    Ingman, Max et al.  “Mitochondrial genome variation and the origin of modern humans.”  Nature 408(6813):708–713.  2000.  “has not evolved at a constant rate across all human lineages”.  “consequently less suitable for dating evolutionary events”.  A genetic study of 53 complete mitochondrial genomes, the whole molecule, from people around the world.  The mean pairwise difference over the whole molecule was 61.1 for all humans (n=53), 38.5 for non-Africans (n=32) and 76.7 for Africans (n=21), and the authors left out the D-loop, a control region, because it does not evolve at a constant rate.  The article uses it for the rate that depends on an assumed 5-million-year human-chimpanzee split, and for its whole-genome sequences, which first re-established the African root. ↩

  28. 28.

    Mishmar, Dan et al.  “Natural selection shaped regional mtDNA variation in humans.”  PNAS 100(1):171–176.  2003.  The last-named author is Wallace, Douglas C.  A study of 104 complete mtDNA genomes from all global regions, arguing that natural selection, with climate as one influence, shaped regional mtDNA variation.  The measured quantity is a ratio: human tree depth to the human-chimpanzee ancestor, 24.88 against 818.05 × 10-4 substitutions per nucleotide, or 1 : 32.8, and the 198 ka date comes from fixing the denominator at 6.5 Myr.  Its separate claim of climate-driven selection on ATP6 rests on counts as small as 3 versus 7 nonsynonymous changes and was not reproduced by Kivisild 2006.  The article uses it for its 198 ka row, the date that the human-chimpanzee calibration gives. ↩

  29. 29.

    Kivisild, Toomas et al.  “The role of selection in the evolution of human mitochondrial genomes.”  Genetics 172(1):373–387.  2006.  A 2006 study of complete coding-region sequences from 277 people on five continents, arranged as a family tree of mitochondrial lineages.  Of the 1,788 mutations in the tree, 1,758 occurred at 1,292 variable coding-region sites, and the surplus of amino-acid-changing mutations is a general feature of the young branches, so the ratio of amino-acid-changing to silent variation declines with the age of the branch.  It did not replicate the climate-based regional differences in amino-acid-changing mutations that Ruiz-Pesini et al. 2004 claimed, although Mishmar et al. 2003 is among the studies it cites for the claim that natural selection has significantly shaped mtDNA evolution.  Its coalescent date for the tree is 160,000 years (SD 22,000).  The article reads the observed decline as variants carried by healthy living people still being removed, and uses it for the claim that mitochondrial sites are not neutral. ↩

  30. 30.

    Endicott, Phillip, and Simon Y. W. Ho.  “A Bayesian evaluation of human mitochondrial substitution rates.”  American Journal of Human Genetics 82(4):895–902.  2008.  A Bayesian phylogenetic analysis of 177 human and two chimpanzee mitochondrial genomes that dated the human mitochondrial ancestor twice on the same data, once with a human-chimpanzee calibration and once with dates of human settlement inside the tree.  The swap moved the answer by half, which is why the article treats every ape-calibrated date as conditional on its calibration. ↩ ↩ ↩

  31. 31.

    Soares, Pedro et al.  “Correcting for Purifying Selection: An Improved Human Mitochondrial Molecular Clock.”  American Journal of Human Genetics 84(6):740–759.  2009.  “one mutation every 3624 years”.  “a severe shortage of such uncontroversial episodes”.  A study that recalibrated the human mitochondrial clock for the whole molecule, using more than 2,000 complete mitochondrial genomes.  Its rate of 1.665 × 10-8 substitutions per nucleotide per year is calibrated on an assumed 6.5–7 million-year human-chimpanzee split, so it is a model output rather than a measurement, and the young-earth circularity critique is correct about this paper specifically.  The paper also concedes that there are few uncontroversial episodes available for archaeological calibration.  The article uses it for the phylogenetic rate that the young-earth argument has to overturn, and for the size of the selection correction, which the paper's own curve puts at 1.50 times at 0–1 thousand years falling to 1.13 times at 50–100 thousand years. ↩ ↩

  32. 32.

    Mean and maximum pairwise substitutions by region for 54 living humans (the revised Cambridge Reference Sequence plus Ingman's 53 genomes), 36 Neanderthal records representing 35 individuals, and 7 Denisovan records, all on reference coordinates with the length-variable tracts 303–315, 16,184–16,193 and 8,281–8,289 left out.  The code reads the pairwise matrices and the sequence inventory and writes the panels. ↩ ↩ ↩ ↩

  33. 33.

    Behar, Doron M. et al.  “A 'Copernican' Reassessment of the Human Mitochondrial DNA Tree from its Root.”  American Journal of Human Genetics 90(4):675–684.  2012.  The root lies between L0 and L1'2'3'4'5'6, the paper says they are.  “separated from each other by 14 coding and four control-region mutations.”  A reassessment of the human mitochondrial DNA family tree that proposes a new reference sequence rooted on Neanderthal mitogenomes, the Reconstructed Sapiens Reference Sequence.  The abstract says the phylogeny was refined by adding information from 8,216 modern mitogenomes, while the mean distance below is reported over a larger set of 18,843, so the two numbers refer to different things.  The mean distance from the reconstructed root to a modern tip is 57.1 substitutions (standard deviation 5.9, range 41-77), and the paper also reports statistically significant molecular-clock violations in M and L2, which is a reason for caution about every published interval on either side.  The article uses it for the 57.1-substitution mean depth of the tree, its 41-77 range, and the bifurcation at the root. ↩

  34. 34.

    Kim, Hie Lim, and Stephan C. Schuster.  “Poor Man's 1000 Genome Project: Recent Human Population Expansion Confounds the Detection of Disease Alleles in 7,098 Complete Mitochondrial Genomes.”  Frontiers in Genetics 4.  2013.  A survey of 7,098 complete human mitochondrial genomes that reports how much people's mitochondrial DNA differs on average.  The mean pairwise difference across the whole molecule is 39.8 worldwide, with a maximum of 123; within Africa it is 64.0 (maximum 123), among non-Africans 35.4 (maximum 71), in Asians 30.1 and in Europeans 30.6.  The control region differs by 9.9 over 1,122 bp and the rest of the molecule by 29.9 over 15,447 bp, a 4.6-fold difference in per-site diversity that the young-earth clock, whose D-loop and whole-genome rates differ by only 1.13-fold, does not reconcile.  The paper is number 13 in volume 4.  Jeanson's stated non-African targets of 39.8 and 39.3 are in fact the global figures.  The article uses it as the observed comparator for every clock calculation in the article. ↩

  35. 35.

    Trifunovic, Aleksandra et al.  “Premature ageing in mice expressing defective mitochondrial DNA polymerase.”  Nature 429(6990):417–423.  2004.  A laboratory study in which mice were engineered to carry a proofreading-deficient version of the mitochondrial DNA polymerase.  It is the mtDNA mutator mouse, and the only measurement of what a broken mitochondrial polymerase actually does to the mutation rate.  PubMed ID 15164064.  The article uses it because it measured the effect in exactly the system the critic names. ↩

  36. 36.

    Stewart, James B. et al.  “Strong purifying selection in transmission of mammalian mitochondrial DNA.”  PLoS Biology 6(1):e10.  2008.  A study of how randomly generated mtDNA mutations pass from mother to offspring in the Trifunovic mutator mice.  It is the direct experimental test of what happens to a raised mutation rate as it passes through the germline.  The article uses it because the germline removes the protein-changing mutations that the polymerase adds.  Mirror:  PMC ↩

  37. 37.

    This project's scan of a 206-gene panel of DNA-repair and replication genes in the Neanderthal exomes and the Altai genome, run against the published Neanderthal change catalogues in two independent passes:  research dossier, catalogue scan and analysis code.  The catalogues hold single-nucleotide changes only, and the allele-frequency lookup is the archived one, not a fresh census of current gnomAD. ↩

  38. 38.

    This project's analysis of a 19-gene core fidelity panel in the high-coverage Denisova 3 genome:  final core summary, coverage and variant panel.  These are coding and coverage results, not functional assays. ↩

  39. 39.

    UniProt.  DNA polymerase subunit gamma-1 (P54098, DPOG1_HUMAN).  n.d.  The annotated sites are the exonuclease active site at Asp198; exonuclease motifs Exo I 196-200, Exo II 267-275 and Exo III 395-403; and polymerase motifs Pol A 887-896, Pol B 943-958 and Pol C 1134-1141.  Residue 579 is annotated as an RNA-primer binding residue and 593 as a template-strand binding residue.  The three natural variants UniProt records between residues 570 and 600 are R574W (autosomal-recessive progressive external ophthalmoplegia, dbSNP rs774474723), R579W (the same condition, rs556925652) and P587L (that condition plus mitochondrial DNA depletion syndromes 4A and 4B, rs113994096).  The Neanderthal change itself is dbSNP rs1463396518.  The protein database entry for the main subunit of the human mitochondrial DNA polymerase, which copies mitochondrial DNA.  It lists the enzyme's 1,239 residues, its active sites and motifs, and the natural variants recorded in each region.  The article uses it for the point that the stretch between residues 570 and 600 sits beside working parts of the enzyme and carries only recessive disease variants. ↩

  40. 40.

    Cosmic-ray dose at altitude, calculated by this project from the altitude formulas UNSCEAR prints in Annex B (paragraphs 61–66), with z in kilometres:  the directly ionising component scales as E(z) = E(0) × [0.21 exp(−1.649z) + 0.79 exp(0.4528z)], and the neutron component as E(z) = E(0) × b × exp(az), with b = 1 and a = 1 below 2 km and b = 2 and a = 0.7 above.  The site altitudes are the only other inputs.42 ↩

  41. 41.

    Arnold, Lee J. et al.  “Luminescence dating and palaeomagnetic age constraint on hominins from Sima de los Huesos, Atapuerca, Spain.”  Journal of Human Evolution 67:85–107.  2014.  A dating study of the Sima de los Huesos deposit using two physical methods, luminescence dating and palaeomagnetism.  It gives a minimum age of 427,000 ± 12,000 years for the deposit, from methods sharing no assumptions with the molecular estimate.  The molecular and physical dates agree to within 7%, and no young-earth response to this result appears in the literature.  The article uses it as the physical check on the mitochondrial date. ↩

  42. 42.

    UNSCEAR.  Sources and Effects of Ionizing Radiation, UNSCEAR 2008 Report Volume I, Annex B: Exposures of the public and workers from various sources of radiation.  United Nations, New York.  2008 (edition of 2010).  Paragraph 61–66.  The annex to the UNSCEAR 2008 report that covers radiation exposures of the public and of workers from various sources.  Its paragraphs explain how cosmic-ray dose rates rise with altitude, including a variation by a factor of about 4 between sea level and 4,000 m in Tibet, as measured in China.  The article uses it for the altitude dose figures behind its comparison with Baishiya Cave, while noting that dose quantities and environments are not perfectly interchangeable. ↩