SARS-CoV-2

The best-sequenced epidemic in history searched every one-letter change to its genome about 10^16 times over and every two-letter pair about 10^9 times. It bought higher receptor affinity, antibody escape, a shifted entry route, one costly drug-resistance path and several knocked-out genes. No new gene, protein or enzyme appeared.

By AI (Claude Opus 5.5, thinking level unavailable) Draft:  September 2026

"Our estimates imply that every single base mutation is being generated de novo and transmitted to a new SARS-CoV-2 host, somewhere in the world, every day." — Ron Sender and colleagues, Proceedings of the National Academy of Sciences, 20211

"For things like viruses, which have very high population sizes and very high mutation rates, if a specific change is possible, it should also be expected to occur." — Robert Carter, Creation Ministries International, 20212

Summary

No organism has ever been watched evolving as closely as SARS-CoV-2.  More than nine million of its genomes are in the public databases and the changes that spread were described within weeks.  This article counts how much mutational search happened between December 2019 and September 2026 and lists what the search produced.  Each change is scored as a gain, a loss, a modification or a transfer of function using the definitions in Measuring Biological Information.  Influenza, which had eighty years rather than six and can swap whole gene segments, is covered separately in Influenza.

The main findings:

  1. The record is real and very large. NCBI held 9,218,691 SARS-CoV-2 nucleotide records on 27 September 2026, of which 9,165,053 were near-complete genomes;3 the Nextstrain open dataset held 9,437,121 sequences the same day.3 Reported cases, 779,395,900, badly undercount infections.4 The Institute for Health Metrics and Evaluation put total infections and reinfections at 3.80 billion by 14 November 2021, before Omicron.5
  2. Between 4 × 1021 and 1 × 1023 virions have been made, carrying between 1.5 × 1020 and 4.4 × 1021 new mutations. The inputs are 3.80 billion infections, 1012 to 3 × 1013 virions produced per infection,1 a genome of 29,903 bases6 and a measured rate of 1.3 × 10−6 mutations per base per replication cycle.7 The arithmetic is in the note.8
  3. Every one-letter change arose about 1015 to 1016 times, every two-letter pair about 109 to 1010 times, and every three-letter combination a few hundred to a few thousand times. Four specific changes at once is where the supply runs out: fewer than one in two hundred of the possible four-change sets was ever assembled in a single replication.9
  4. Robert Carter, writing for Creation Ministries International, concedes all of that. "Essentially, every possible simple mutation has already occurred," he wrote in July 2021.2 The creationist case disputes not the size of the search but what it bought.
  5. What it bought, scored: no gain of function in Michael Behe's 2010 sense. Receptor affinity up, antibody binding down, one host protease used less and another more, two drug targets altered at a fitness cost, and three accessory genes knocked out in lineages that spread. The table is in Part 4.
  6. The one change that looks like a coordinated pair is not one. N501Y and Q498R together raise receptor affinity 387-fold, and Q498R alone slightly lowers it.10 But N501Y raises affinity 15-fold on its own and appeared first, in Alpha. The pair was climbed one useful step at a time.
  7. The one change with Behe's shape is drug resistance that did not spread. Mpro E166V gives about 100-fold resistance to nirmatrelvir and costs replicative fitness, which L50F or T21I restores.11 It was assembled in laboratory passage. In patients, 0.5% of 13.4 million sequences carried any resistance-associated change, with no rise after the drug came into use.12
  8. Nothing new was built. No new gene, protein fold or enzyme activity has been reported since December 2019. The extra reading frames sometimes offered as counter-examples, ORF3c and ORF9c, are older than the pandemic or are not genes at all.13
  9. The strongest point for the young-earth side is the transmission bottleneck. One to eight virions found each new infection,14 so nearly all of that diversity is thrown away before selection between hosts can see it.
  10. The strongest point against it is that the ledger is a lower bound. Only changes somebody looked for are on the list, and the fitness effect of most Omicron changes has never been measured one at a time.
  11. The genetic-entropy reading is half right. Omicron really is intrinsically milder, in rodents with no immunity15 and in unvaccinated people.16 But the cause is a shift in which tissue the virus prefers, which came with better transmission, and the C-to-U mutation bias the argument rests on is opposed by selection rather than running unchecked.17

Part 1: The record

Three numbers are needed and all three have to be read fresh, because two of them change daily.

Genomes.  On 27 September 2026 the NCBI Nucleotide database held 9,218,691 records for taxon 2697049, the SARS-CoV-2 taxon, of which 9,165,053 were between 29,000 and 30,500 bases long and so were near-complete genomes.3  The Nextstrain open dataset, which is built from the same public deposits, reported 9,437,121 sequences.3  GISAID holds more, because many countries deposit there and not in GenBank, but GISAID publishes no SARS-CoV-2-only total outside its login.  Its front page on the same day gave 22,536,977 submissions across all five of its databases, influenza included, which is only an upper bound.3  The best published GISAID figure found for this article is Jonathan Ip and colleagues' count of 13,446,588 sequences as of 14 December 2022.12

Infections.  Reported cases are not infections.  The World Health Organization's data file, whose last dated row when it was downloaded on 27 September 2026 was 6 September 2026, sums to 779,395,900 confirmed cases.4  The gap between that and the truth was measured.  Isabel Bergeri and colleagues, pooling standardised seroprevalence surveys for the World Health Organization, found that the ratio of seroprevalence to cumulative reported cases in the third quarter of 2021 "ranged from around 2:1 in the Americas and Europe HICs to over 100:1 in Africa (LMICs)."18

The infection estimate this article uses comes from the COVID-19 Cumulative Infection Collaborators, who combined reported cases, reported deaths, excess deaths, hospital admissions and seroprevalence surveys for 190 countries.  Through 14 November 2021 they estimated "3·80 billion (95% uncertainty interval 3·44–4·08) total SARS-CoV-2 infections and reinfections combined, and an estimated 3·39 billion (3·08–3·63) individuals, or 43·9% (39·9–46·9) of the global population, had been infected one or more times."5

That count stops one week before Omicron was named.  Omicron and its descendants then infected a large further share of the world, much of it a second or third time, and no comparable whole-pandemic estimate was found.  So 3.80 billion is used below as a lower bound on infections, not as the total.  Every figure derived from it is therefore also a lower bound.

Genome length.  29,903 nucleotides, from the first published genome.6  Three possible substitutions at each position gives 89,709 possible single-nucleotide changes, which is the number the rest of this article divides by.

Part 2: The ledger

How many virions

Ron Sender and colleagues at the Weizmann Institute converted measured viral RNA concentrations in rhesus macaque tissue into whole-body counts for a 70 kg person.  The lungs dominate:  106 to 108 RNA copies per gram times 1,000 grams of lung gives "109 to 1011 virions" at the peak of infection.1  Over a whole infection the total produced is three to thirty times the peak, "3 × 109 to 3 × 1012 virions."1  Because viral loads are roughly log-normal, the right figure to multiply by a count of people is the arithmetic mean rather than the median, and that is "1012 to 3 × 1013 viral particles."1

Multiplying by 3.80 billion infections gives 3.8 × 1021 to 1.1 × 1023 virions produced in the pandemic through November 2021.8  For scale, Sender's own independent estimate of the standing crop at any one moment during the pandemic was 1017 to 1019 virions.1

How many mutations

Two different rates are quoted for SARS-CoV-2 and they are not the same quantity.  Mixing them is the commonest error in this kind of arithmetic.

Quantity Value What it counts
Mutation rate per base per replication cycle 1.3 × 10−6 ± 0.2 × 10−67 New errors made when one genome is copied
Substitution rate per site per year 1.1 × 10−3, 95% credible interval 7.03 × 10−4 to 1.5 × 10−319 Changes that survive and fix along a chain of transmissions

Massimo Amicone and Isabel Gordo's group measured the first figure directly, by passaging two SARS-CoV-2 lineages fifteen times in Vero cells and sequencing the populations.  Their paper states the problem plainly:  estimates of the per-year rate existed, but "we still lack a direct quantification of the amount of mutations that can be generated in a single infection cycle."7  Before their work, published ledgers used rates from related viruses;  Sender's paper used 3 × 10−6 from mouse hepatitis virus.1  Amicone's directly measured figure is 2.3 times lower, so this article uses it and its mutation supply is correspondingly smaller than Sender's.

The second figure, 1.1 × 10−3 per site per year, comes from Sebastián Duchene and colleagues fitting a molecular clock to the first 122 genomes.19  Across 29,903 bases that is about 33 substitutions per genome per year along a transmission chain.  The per-cycle rate across the same genome is 0.039 mutations per copy.  The two differ by nearly three orders of magnitude because the second counts only what survived hundreds of replications and a bottleneck at every transmission.

Entry Value
Infections, including reinfections, to 14 Nov 2021 3.80 × 109 (lower bound)
Virions produced per infection, arithmetic mean 1 × 1012 to 3 × 1013
Virions produced in total 3.8 × 1021 to 1.1 × 1023
Genome length 29,903 bases
Mutation rate per base per replication 1.3 × 10−6
Mutations per genome copied 0.039
New mutational events in total 1.5 × 1020 to 4.4 × 1021
Possible single-nucleotide changes 89,709
Substitutions per genome per year, along a lineage about 33

How thoroughly the genome was searched

Divide the mutational events among the possible changes.9

What is needed How many such combinations exist How many times each one arose
One specific change 8.97 × 104 1.6 × 1015 to 4.8 × 1016
Two specific changes, in one replication 4.02 × 109 6.9 × 108 to 2.1 × 1010
Three specific changes, in one replication 1.20 × 1014 about 300 to 8,900
Four specific changes, in one replication 2.70 × 1018 0.0001 to 0.004

The cliff sits between three and four.  Any change that needs three specific mutations in one copying event has been offered to the virus hundreds of times.  Any change that needs four has almost certainly never been offered that way at all:  between 3.5 × 1014 and 1.0 × 1016 four-change sets were assembled, out of 2.7 × 1018 possible, which is 0.01% to 0.4% of them.

Sender's group reached the same conclusion for single changes.  Taking the E484K change as an example, they estimated that "such a specific mutation will be observed in one out of every ∼200,000 infections."1  With 0.3 million to 3 million new cases a day, the mutations generated daily "likely exceeds the total number of possible single nucleotide substitutions to the SARS-CoV-2 genome," so "every single base mutation is being generated de novo and transmitted to a new SARS-CoV-2 host, somewhere in the world, every day."1  Their abstract puts it in one clause:  "the genetic diversity of virions in an infected host covers all possible single nucleotide substitutions."1

What the bottleneck does to all of that

The numbers above count mutations made.  They do not count mutations that get anywhere.

Katrina Lythgoe and colleagues deep-sequenced 1,313 samples from the first UK wave, fixed a reproducibility threshold using replicate RNA samples, and then estimated how many virions actually start a new infection.  "Comparing iSNVs among 14 household contact pairs, we estimated transmission bottleneck sizes of one to eight viruses."14  Their conclusion was "a consistent pattern of low within-host diversity, purifying selection, and narrow transmission bottlenecks," and the consequence they drew is the one that matters here:  "if mutations do arise, they will be prone to loss at the point of transmission."14 14

So the effective search is much smaller than 1022.  A new mutation has to arise, rise to a large share of the virions in one person's airway, win a lottery with one to eight tickets at transmission, and do that again in the next host.  Lythgoe's own summary is that "within-host emergence of vaccine and therapeutic escape mutations is likely to be relatively rare, at least during early infection, when viral loads are high."14

This is the strongest quantitative point in the young-earth column.  The virion count sets what is chemically available.  The infection count, 109 to 1010, sets what selection between hosts can pick from.  The two differ by twelve orders of magnitude.

Part 3: The furin cleavage site, and what this article will not settle

SARS-CoV-2's spike protein is cut in two places.  One cut, at the S1 to S2 boundary, is made by the host enzyme furin, and the site it acts on was already there in the first genome sequenced in December 2019.  Kristian Andersen and colleagues describe it as "a functional polybasic (furin) cleavage site at the S1–S2 boundary through the insertion of 12 nucleotides."20  That insertion is not present in the virus's closest known bat relatives, and how it got there is disputed.  Andersen's group concluded that "SARS-CoV-2 is not a laboratory construct or a purposefully manipulated virus."20  Rossana Segreto and Yuri Deigin argued the opposite in BioEssays, that "the genetic structure of SARS-CoV-2 does not rule out a laboratory origin."21

Nobody watched the site arise, so it is outside this article's subject.  This series counts what was observed happening after December 2019.  The origin question is left to the two sources above and to those who work on it.

What the site did afterwards is inside the subject, and it matters, because the cleavage site controls which way into the cell the virus takes.  Bo Meng and colleagues state the dependence:  "The plasma membrane route of entry, and indeed transmissibility and disease severity in animal models, is critically dependent on the polybasic cleavage site (PBCS) between S1 and S2 … and cleavage of spike before virion release from producer cells;  this contrasts with the endosomal entry route, which does not require spike cleavage in producer cells."22

Two changes at position 681, just before the cut, spread in different lineages.  Akatsuki Saito and colleagues engineered Delta's P681R into a virus and found that it "facilitates cleavage of the spike protein and enhances viral fusogenicity," and that the P681R virus was more pathogenic in hamsters than its parent.23  Alpha's P681H is a different substitution at the same position and did not behave the same way.  Bailey Lubinski and colleagues tested it with fluorogenic peptides and "observed no significant difference in furin cleavage."24  Two changes at one position, one with a measured effect on the enzyme and one without.  Omicron carries P681H along with two more changes in the same region, H655Y and N679K.22

Part 4: What the search produced

Spike D614G

The first change to sweep the world was a single nucleotide, A23403G, turning aspartate 614 of spike into glycine.  Bette Korber's group at Los Alamos was watching GISAID for exactly this and reported in Cell that "a SARS-CoV-2 variant with Spike G614 has replaced D614 as the dominant pandemic form."25  The rise was fast:  the haplotype carrying it "was found in 10% of 997 global sequences" before 1 March 2020, "67% of 14,951 sequences" in March, and "78% of 12,194 sequences" between 1 April and 18 May.25

One detail is usually dropped and should not be.  D614G did not sweep alone.  It swept as one of four linked changes, together with C241T in the untranslated region, a silent change at position 3,037, and C14408T, which alters the polymerase.25  Any price put on D614G is really a price on the haplotype.

Jessica Plante and colleagues then engineered the change into a cloned virus so the comparison was isogenic.  "D614G enhances replication on human lung epithelial cells and primary human airway tissues through an improved infectivity of virions," and the G614 virus produced "modest 1.2-, 2.4-, and 1.9-fold more infectious virus than the D614 virus at 24, 36, and 48 hpi."26 26  In hamsters it reached higher titres in the nose and trachea but not the lungs.26  The effect is real, measured, and about twofold.

Score:  modification of function, up.  One nucleotide, in a haplotype of four.

Receptor binding, and the prediction that came true

Tyler Starr and Jesse Bloom measured the effect of every single amino-acid change in the receptor-binding domain on both folding and receptor affinity, before any variant of concern existed.  "Most mutations are deleterious for RBD expression and ACE2 binding," they reported, but a minority were tolerated or better, and in mid-2020 they added that "we find no evidence that these ACE2-affinity-enhancing mutations have been selected in current SARS-CoV-2 pandemic isolates."27 27  Their isogenic checks confirmed affinity gains at positions 501 and 498.27

Four months later Alpha appeared carrying N501Y, and Beta and Gamma appeared carrying N501Y with K417N or K417T and E484K.  Starr's later paper records the sequence of events without any hedging:  "we identified the N501Y mutation as enhancing ACE2-binding affinity prior to the emergence of this consequential mutation in the Alpha variant."10  A laboratory scan found the change before selection did.  That is a strong result for the predictive power of the mainstream account and should be conceded plainly.

Score for N501Y and its companions:  modification of function, up.  One nucleotide each.

Omicron

Omicron is the hard case and the interesting one.  Raquel Viana and colleagues, who described it from southern Africa, call it "exceptional for carrying over 30 mutations in the spike glycoprotein."28  Fifteen of those sit in the receptor-binding domain.  Five of the fifteen, G339D, N440K, S477N, T478K and N501Y, had already been shown individually to improve receptor binding, and seven were expected to hurt at least three of the four main classes of neutralising antibody.28  The branch leading to Omicron carries the strongest selection signal in the tree, with nine positively selected sites in spike alone.28

The epistasis.  A set of fifteen changes to one small domain ought to break it.  Starr and colleagues measured why it does not.  "Although Q498R alone weakly reduces ACE2 affinity in the Wuhan-Hu-1 RBD, it confers a 25-fold enhancement in affinity when present in conjunction with N501Y (which itself improves binding 15-fold in Wuhan-Hu-1), such that the double mutant has a 387-fold increased binding affinity."10  That extra affinity is what pays for the rest:  Omicron's RBD changes, summed as single-mutant effects in the original background, should strongly impair binding, but summed in a background that already has N501Y they come to about zero.10

This looks at first like a coordinated pair of the kind Behe's argument is about, and it is not one.  N501Y helps by itself, and helps a great deal.  It appeared first, in Alpha, and spread on its own merits.  Q498R only became useful afterwards.  The order was one useful step, then a second step made useful by the first.  That is a ratchet, not a coincidence, and the ratchet is the mainstream account's mechanism working exactly as advertised.  One honest qualification cuts the other way:  Starr's group notes that the same pair "was first discovered in directed evolution studies," so the laboratory found it before the virus did.10

The entry route.  Meng and colleagues report that Omicron's spike binds the receptor more tightly than Delta's, escapes antibodies far better, and shows "a shift in tropism away from TMPRSS2-expressing cells and compromised ability to generate syncytia."22  This is the most interesting single result in the whole record, because it is a change in mechanism rather than a change in degree.  It is still not a new mechanism.  Both routes into the cell, cutting at the surface with TMPRSS2 and cutting inside the endosome with cathepsins, were available to the virus from the start.22  What changed is which one it leans on.

Where Omicron came from.  Omicron's branch carries far more changes than the clock predicts for the time available, and no intermediate was ever sampled.  The leading explanation is that it evolved inside one person whose immune system could not clear it.  Sheri Harari and colleagues state the hypothesis and its basis:  "Some substitutions found in chronic infections are lineage-defining mutations in variants of concern (VOCs), which has led to the hypothesis that VOCs emerged from chronic infections."29  Every chronic case on record has been in a severely immunosuppressed patient.29  Lawrence Corey and colleagues had described the mechanism in 2021 as "a form of rapid, multistage evolutionary jumps (saltational evolution), which could preferentially occur in the milieu of partial immune control. | note: Superscript reference numbers follow "(Covid-19)" in the source and are omitted here."30

That explanation is an inference, not an observation.  No sample of Omicron's ancestor was ever taken.  What was observed is that other chronic infections do produce variant-defining changes, which makes the story plausible without confirming it.  A rival account has Omicron passing through an animal population, and Viana's recombination tests found only weak signals for a recombinant origin between the BA lineages.28

Score for Omicron:  a large set of modifications, most of them unmeasured individually.  The shift in entry route is a modification of function, shifted.  Nothing in it is a new coded element.

Antibody escape

Yunlong Cao's group at Peking University mapped escape across the Omicron sublineages and found "BA.2.12.1, BA.4 and BA.5 escape antibodies elicited by Omicron infection," which is to say that infection with one Omicron did not protect against the next.31  The escape has a price.  BA.2's loss of G496S regained a hydrogen bond with the receptor and raised binding, while "the F486V mutation in BA.4/BA.5 spike decreases hACE2 binding activity."31  Later sublineages are not straightforwardly fitter;  they are differently fitted, trading receptor grip for invisibility.

Deletions did some of the same work.  Kevin McCarthy and colleagues found that because "coronaviruses acquire substitutions more slowly than other RNA viruses," recurrent deletions in spike "overcome this slow substitution rate," fall in a few recurrent deletion regions that map to antibody epitopes, and "confer resistance to neutralizing antibodies."32

Score:  modification of function.  Antibody escape is a reduction in the binding of a host protein to a viral one.  It is a real benefit to the virus and it is not a new capability.

Drug resistance

Nirmatrelvir, the protease inhibitor in Paxlovid, was the drug most likely to be defeated, and in the laboratory it was.  Sho Iketani and colleagues passaged SARS-CoV-2 under increasing drug pressure and then rebuilt thirteen recombinant clones to test each candidate change.  "Construction and analysis of 13 recombinant SARS-CoV-2 clones showed that these mutations mediated only low-level resistance, whereas greater resistance required accumulation of additional mutations.  E166V mutation conferred the strongest resistance (around 100-fold), but this mutation resulted in a loss of viral replicative fitness that was restored by compensatory changes such as L50F and T21I."11  The changes appeared "in a stepwise manner, mirroring the increases in drug resistance."11

This is the shape Behe's argument predicts:  the big win is costly alone and needs a second, compensating change.  And the prediction that goes with it held.  Jonathan Ip and colleagues screened 13,446,588 GISAID sequences a year after the drug was approved.  "Overall, 0.5% (67,095/13,446,588) of the sequences contained at least one mutation that was shown to affect the inhibitory activity of nirmatrelvir or ensitrelvir … We did not observe any increasing trend of resistance after the widespread clinical use of nirmatrelvir-ritonavir."12  Most of that 0.5% is G15S and T21I, which raise resistance only slightly.  Two reasons for the absence are worth naming:  the drug is given for five days to people who are about to recover anyway, so there is little time for selection to work inside one host, and the costly changes are selected against everywhere else.

Remdesivir resistance has been seen once, clearly, in a patient.  Shiv Gandhi and colleagues sequenced the virus of an immunocompromised woman before and during treatment and found a change that was absent beforehand:  "a mutation, E802D, in the nsp12 RNA-dependent RNA polymerase … the mutation conferred a ~6-fold increase in remdesivir IC50 but resulted in a fitness cost in the absence of remdesivir."33  Sixfold, with a cost.  Laboratory selection reaches other polymerase changes by more than one mechanism.34

Score for both:  modification of function, activity down, with a measured fitness cost.  One nucleotide each, plus one more for the compensating change.

Losses

Several lineages that spread carry knocked-out genes, and this part of the record is unusually clear.

Yvonne Su and colleagues found a deletion in Singapore in January 2020:  "a 382-nucleotide (nt) deletion in SARS-CoV-2 that truncates open reading frame 7b (ORF7b) and ORF8, removing the ORF8 transcription regulatory sequence (TRS) and eliminating ORF8 transcription."  It reached "23.6% (45/191) of SARS-CoV-2 samples screened."35  Barnaby Young and colleagues then followed the patients.  Nobody infected with the deletion variant needed supplemental oxygen, against 28% of those with the intact virus, an adjusted odds ratio of 0.07.36  Alpha carried a different ORF8 knockout, a stop codon early in the gene.37

Jesse Bloom and Richard Neher then priced these losses across the whole phylogeny by counting how often each mutation appears against how often mutation should put it there.  "Stop-codon and amino acid mutations to ORF7a and ORF8 are not more deleterious than synonymous mutations," and "the lack of deleterious mutations to ORF8 is consistent with the fact that viruses with deletions in this gene have spread in humans … and that major variants had stop codons early in ORF8."37  More generally, "most accessory proteins are under little constraint," and the one exception is ORF3a, which is under strong selection against stop codons.37 37

One case complicates the picture and should not be left out.  Artem Nemudryi and colleagues found that ORF7a truncations arise often, isolated one from a patient, and showed it had a real cost:  the truncation "negates anti-immune activities of the protein, which results in elevated type I interferon response to the viral infection," and the isolate had a growth defect.38  So "accessory genes are free to lose" is too strong.  Some are.

Score:  loss of function.  Negative nucleotide count.

The ledger in one table

Change Pressure What changed Score Measured effect
Spike D614G Transmission 1 amino acid, in a 4-change haplotype Modification, up 1.2 to 2.4-fold more infectious virus
Spike N501Y Transmission 1 amino acid Modification, up 15-fold receptor affinity
Spike Q498R with N501Y Transmission 1 amino acid, needs N501Y first Modification, up 387-fold for the pair
Spike K417N/T, E484K Immune escape 1 or 2 amino acids Modification, shifted escape; affinity cost not measured here
Spike P681R Entry 1 amino acid Modification, up more cleavage, more fusion, more pathogenic in hamsters
Spike P681H Entry 1 amino acid Not scored no significant change in furin cleavage
Omicron spike set Immune escape and transmission over 30 amino acids Modification, shifted, mostly unmeasured tighter binding, wide escape, less syncytium formation
Omicron entry route Entry part of the same set Modification, shifted tropism away from TMPRSS2 cells
Spike recurrent deletions Immune escape 1 to 4 codons removed Modification, shifted resistance to neutralising antibodies
Spike F486V Immune escape 1 amino acid Modification, shifted escape, with lower receptor binding
Mpro E166V plus L50F Nirmatrelvir 2 amino acids Modification, down, with a cost about 100-fold resistance; fitness restored by the second change
nsp12 E802D Remdesivir 1 amino acid Modification, down, with a cost 6-fold; costly without the drug
ORF8, and ORF7b with it Unknown gene knocked out or deleted Loss milder disease; no measurable fitness cost
ORF7a truncations Unknown gene truncated Loss, with a cost loses immune suppression; growth defect
RdRp P323L, C241T, the silent change at 3,037 Hitch-hiked with D614G 3 sites Cannot be scored no effect measured

Fourteen entries can be scored.  None of them is a gain of function.  Twelve are modifications, two are losses, and one row cannot be scored at all.  No new gene, no new protein, no new enzyme activity, and no new binding between two proteins is among them.

Part 5: What did not appear

The claim that gains did not appear has to be tested rather than asserted, so here is what a virus under this much selection might have gained.

A new gene.  None reported, and this is the point easiest to get wrong, because papers do report extra reading frames in SARS-CoV-2 and those are sometimes offered as new genes.  Irwin Jungreis, Rachel Sealfon and Manolis Kellis settled it by comparative genomics across 44 sarbecovirus genomes.  "We find strong protein-coding signatures for ORFs 3a, 6, 7a, 7b, 8, 9b, and a novel alternate-frame gene, ORF3c, whereas ORFs 2b, 3d/3d-2, 3b, 9c, and 10 lack protein-coding signatures or convincing experimental evidence of protein-coding function.  Furthermore, we show no other conserved protein-coding genes remain to be discovered."13

ORF3c is a real gene, and it was new to the annotation, not new to the virus:  the evidence for it is conservation across the whole sarbecovirus group, so it existed long before December 2019.  ORF9c, ORF3d and ORF3b are the ones sometimes called new, and they are the ones the analysis rejects:  "None of these are conserved in the species Severe acute respiratory syndrome-related coronavirus."13  Either way, neither is a gain during the observed period.

A new protein fold.  None reported.

A new enzyme activity.  None reported.  Every change above alters an existing activity:  binding tighter, being cut more, escaping an antibody, resisting an inhibitor.

A new interaction between two proteins.  None reported.

What could count against this.  Two things.  The altered entry route is one.  Omicron leans on cathepsins in the endosome rather than TMPRSS2 at the surface, which is a change in mechanism rather than degree.  Under the scoring rule of Measuring Biological Information it is still a modification, because both routes existed in the virus already and both were in use.  A reader who thinks a shift between two existing pathways should count as more has a case worth arguing;  it is still not a new coded element.

The other is the number of unmeasured changes.  Omicron's thirty-odd spike changes have never been assayed one at a time, and the deep mutational scanning that exists covers folding, receptor affinity and antibody binding, not every function the protein has.  If one of them turned out to create something, this section would be wrong, and nobody has looked hard enough to rule it out.

Part 6: What cannot be priced, and the unit of account

Gains that cannot be priced

Three whole categories of adaptation are invisible to the ledger above.

Everything that happened inside a host and was thrown away.  Most of the search happened within single infections, where selection acts on replication speed and on evading a partly-primed immune system.  Almost all of it is discarded at the bottleneck and was never sequenced.

Everything nobody looked for.  Drug resistance gets found because patients stop improving, and antibody escape because escape assays are cheap and were run continuously.  An adaptation to a different cell type, or to a change in human behaviour, would leave no such signal.  The accessory-gene knockouts were found because they were large;  smaller regulatory changes would not have been.

The fitness effects nobody has decomposed.  Bloom and Neher's method is honest about its own floor:  their estimates "are only sensitive to fitness costs greater than a few percent."37  A change worth 1% per generation to a virus with a doubling time of five days is strong in the real world and invisible to that method.

So the ledger is a lower bound on what the virus produced, and the true count of adaptive changes is higher than fourteen by an unknown amount.  That weakens the argument this series makes, and the data to remove the weakness do not exist.

The unit of account

This series measures unique functional sequence:  nucleotides that had to be originated rather than copied, per organism produced.  For SARS-CoV-2 the count is small and the range is wide.

The lower bound counts only positions whose functional effect was measured in a controlled comparison:  D614G, N501Y, Q498R, G339D, N440K, S477N, T478K, F486V, P681R, Mpro E166V, Mpro L50F and nsp12 E802D.  That is twelve positions, twelve nucleotides.  The upper bound takes Omicron's whole spike set as though every one of its thirty-plus changes mattered, adds the alternative forms in Alpha, Beta, Gamma and Delta, the escape deletions and the two drug targets, and lands under about 100 nucleotides.  Deleted genes add nothing, and negative counts are not subtracted here.

Divided by the virions produced, that is 1 × 10−22 to 3 × 10−20 new functional nucleotides per virion.39  Divided by infections, which is the unit selection between hosts actually works on, it is 3 × 10−9 to 3 × 10−8 per infection.  For comparison, the Plasmodium falciparum ledger gives 2 × 10−21 to 7 × 10−20 nucleotides per parasite, and the HIV figures give about 8 × 10−20 per virion.  Three organisms with nothing in common but heavy sampling land within two orders of magnitude of each other.

Two cautions belong with the number.  It is a lower bound, for the three reasons above.  And it counts sequence, which is not the same as function:  a single nucleotide bought a 15-fold change in receptor affinity, and no arithmetic on nucleotide counts captures that.

Part 7: The genetic-entropy reading

What the creationist side actually claims

The young-earth argument about SARS-CoV-2 has to be stated from its own source before it is weighed.  Robert Carter wrote it for Creation Ministries International in July 2021, and the article is called "Is Covid-19 evolving?  No, but it is changing rapidly."

Carter does not dispute that the virus changes, and he does not dispute the size of the search.  He states it himself, taking Behe's malaria arithmetic as the model:  one in 1020 parasites will carry the mutations needed for chloroquine resistance, and there are about 1021 parasites in a billion infected people.2  From that he draws the rule:  "For things like viruses, which have very high population sizes and very high mutation rates, if a specific change is possible, it should also be expected to occur."  And more directly:  "if a simple mutation will make a virus more infectious to humans, we should be looking for it.  It will happen."2 2  On supply he anticipates Part 2 of this article:  "the number of viruses that have existed over this timeframe is truly vast.  Essentially, every possible simple mutation has already occurred."2

His two claims are about what that buys.  The first is that single-step change is not evolution in the sense that matters, because it makes no new information.  The second is the genetic-entropy prediction:  "over time viral infectivity should wane.  As each viral strain in circulation picks up more and more mutations, it should become less and less robust.  This is the essence of genetic entropy and we saw it happen within the human H1N1 virus.  Yet, the process took decades in H1N1 and SARS-CoV-2 has only been around for a short time.  Will genetic entropy degrade the virus?  Yes.  Will it happen this year?  No."2

No Sanford, Carter or Journal of Creation publication specific to SARS-CoV-2 mutation accumulation was found for this article, and the routes tried are listed in the research notes.  Carter's web article is the primary that exists, and the H1N1 work it rests on belongs to Influenza.

Testing the prediction

Did severity fall?  Yes.  Tommy Nyberg and colleagues compared 1.07 million Omicron infections with Delta infections in England.  "The adjusted hazard ratio (HR) of hospital attendance … with omicron compared with delta was 0·56 (95% CI 0·54–0·58);  for hospital admission and death, HR estimates were 0·41 (0·39–0·43) and 0·31 (0·26–0·37), respectively."16

Was it the virus or the population's immunity?  Mostly the virus.  Nyberg's group separated the two:  "Underlying the observed risks is a larger reduction in intrinsic severity (in unvaccinated individuals) counterbalanced by a reduction in vaccine effectiveness."16  Peter Halfmann and colleagues settled it independently in animals that have no prior immunity of any kind:  "B.1.1.529 replicates less efficiently in the lungs of Syrian hamsters, which results in less severe pneumonia compared to that resulting from the B.1.617.2 variant."15  So Carter's expectation of attenuation was met, and faster than he expected.

Was it degradation?  This is where the argument fails, and it fails on the mechanism.  Omicron is milder because it replicates less well in the lungs and better in the upper airway, and that shift came together with a large rise in transmissibility.  A virus that spreads faster and kills less is not a degraded virus;  it is a differently adapted one.  Yao Liu's review states the attenuation case about as strongly as the evidence allows, arguing that "selection for antibody-escaping variants and accumulation of near-neutral mutations have led to suboptimal codon usage and reduced replicative capacity, as demonstrated in non-respiratory cell lines," while also listing "reduced infectivity in lung tissues and increased tropism for the upper airway, resulting in shorter incubation periods, milder diseases, and more efficient transmission between people" as beneficial adaptation.40  That review is a single-author narrative synthesis in Cureus, not a measurement, and should be read as the best statement of the case rather than as evidence for it.

Is the mutation bias unchecked?  No, and the paper Carter cites for the bias says so.  Alan Rice and colleagues measured the mutational profile at fourfold degenerate sites and found it "heavily GC→AU biased," implying that if mutation alone ruled, the genome would settle at 17.13% GC with 65.67% U at those sites.17  The genome is nowhere near that.  Their conclusion is that "analysis of mutational profiles indicates a strong mutation bias toward U.  In turn, analysis of observed synonymous site composition implicates selection against U … observed UU content being a quarter of that expected under neutrality."17

That is the crux.  The C-to-U pressure that the genetic-entropy reading points at is real, and selection is visibly holding it back.  A ratchet that is being opposed is not a ratchet.  Whether it will win over decades is an open question for a virus that has been circulating for under seven years, and Carter says as much himself.

Objections and responses

A virus already fitted to its job is under stabilising selection, so of course nothing new appeared.  This partly succeeds, and it is the strongest objection here.  Two things blunt it.  The virus was new to the human host and by any account not yet optimal in it, which is why D614G, P681R and the Omicron entry shift were available at all.  And the objection concedes the point the series is making:  if stabilising selection is why a 1022-virion search produced only modifications, then stabilising selection is doing most of the work in nature, which is what the young-earth model says.

The target was transmission among people whose immunity keeps changing, and surface changes meet that target.  This succeeds.  Antigenic change is cheap, one amino acid at a time on an exposed loop, and it was what paid.  The honest conclusion is that this record cannot show what the virus would have done under a pressure that required a new function.  It shows what it did under the pressure it faced.

Five and a half years is short.  This partly succeeds, and Carter makes the same point for the other side.  But the argument here is about tickets, not years.  Counted per site, 1022 virions and 1021 mutations across a 29,903-base genome is a larger search than every mammal that has ever lived has run across a three-billion-base one, on the mammal figures derived in Plasmodium falciparum, and it happened in six years.  A lottery is won by buying tickets, not by playing for a long time.

A 30 kb genome under proofreading has little slack, so there was nowhere to put a new gene.  This partly succeeds and it is a real constraint.  Coronaviruses carry a proofreading exonuclease, which is why their substitution rate is low for an RNA virus;  McCarthy's group says so directly:  "coronaviruses acquire substitutions more slowly than other RNA viruses."32  But it cuts both ways.  It weakens the young-earth argument as a general claim, because a constrained genome is a poor test of what an unconstrained one could do.  And it weakens the evolutionary reply, because it concedes that genome architecture, not mutation supply, sets the limit on what can be found.

The ledger only counts what was measured, so it is rigged.  This succeeds and Part 6 concedes it.  The right response is to call the count a floor, not to widen it with guesses.

Antibody escape is obviously a benefit, so calling it a modification is unfair.  The score describes the molecule and the benefit is reported beside it in the table, as the scoring rule requires.  A change that lowers the binding of a host antibody to a viral protein has not created a coded element.

The Omicron entry shift is a new function.  Possibly, on a looser definition.  Not on the definition this series uses, because both entry routes were already available and in use.  A reader who wants to call it a gain should notice that it cost something at the same time:  Omicron makes syncytia poorly and replicates worse in lung tissue.

If every pair of mutations arose 109 times, why has no two-step gain been found?  Because arising is not spreading.  A pair that arises inside one host still has to pass a bottleneck of one to eight virions, twice, before selection between hosts can favour it.  The nirmatrelvir case is the clean test:  the two-step path exists, it was built in the laboratory, and in 13.4 million patient sequences it did not take off.

Issues and unanswered questions

  1. No whole-pandemic infection estimate was found. The 3.80 billion figure stops on 14 November 2021, one week before Omicron was named, and Omicron infected a very large further share of the world. Every total in this article is therefore low by an unknown factor, probably between two and four. A post-Omicron cumulative-infection estimate would fix it.
  2. GISAID's own SARS-CoV-2 count could not be read live. Four open routes failed. The published figure of 13,446,588 as of December 2022 is used instead, and the live counts are NCBI's and Nextstrain's.
  3. The mutation rate rests on one experiment. Amicone's 1.3 × 10−6 per base per cycle is the only direct measurement found, and the two lineages in that experiment gave synonymous-site estimates of 3.8 × 10−6 and 1.2 × 10−6, three-fold apart.7 A second independent measurement would tighten every number in Part 2.
  4. Most Omicron changes have never been assayed individually. The upper bound of 100 nucleotides in Part 6 is a ceiling, not a count.
  5. No creationist publication on SARS-CoV-2 attenuation exists, as far as this article could determine. The genetic-entropy case for this virus has to be reconstructed from Carter's 2021 web article and from the H1N1 work behind it.
  6. The bottleneck estimate rests on 14 household pairs and Lythgoe's own paper notes that it is "considerably lower than estimates in a recent Austrian study."14 The disagreement is unresolved and the effective search size depends on it.
  7. Whether selection will keep holding the C-to-U bias back over decades is not known, and it is the question on which the genetic-entropy reading will eventually be settled.

Verdict

SARS-CoV-2 ran the largest and best-documented mutational search any organism has ever been watched running.  Between 3.8 × 1021 and 1.1 × 1023 virions carried between 1.5 × 1020 and 4.4 × 1021 new mutations, which offered every one-letter change about 1016 times, every two-letter pair about 109 times, and every three-letter combination a few hundred times.  Robert Carter's article for Creation Ministries International concedes exactly this, and the argument therefore turns on what the search bought.

It bought fourteen scoreable changes:  twelve modifications and two losses.  Receptor affinity up as much as 387-fold from two amino acids, wide antibody escape, more spike cleavage in one lineage and none in another at the same position, a shift between two entry routes the virus already had, two drug targets altered at a measured cost, and three accessory genes knocked out in lineages that spread.  No gain of function by Behe's 2010 test, and no new gene, protein fold, enzyme activity or protein-protein interaction.  The reported new reading frames are older than the pandemic or are not genes.

Three things weaken that verdict.  The ledger counts only what somebody measured, so it is a floor.  The pressure was almost entirely antigenic, so the record cannot show what this virus would do under a pressure demanding a new function.  And a 30 kb proofreading genome with overlapping frames has little room to build anything, which makes it a poor test case in both directions.

Two things strengthen it.  The bottleneck of one to eight virions means the population selection acts on is twelve orders of magnitude smaller than the virion count, which is the honest reason a 1022 search behaves like a 1010 one.  And the one change with the shape the design argument predicts, nirmatrelvir resistance needing a costly step plus a repair, was reachable in a laboratory and has not spread in 13.4 million patient sequences.

On genetic entropy the split is clean.  The prediction of attenuation was met, and met intrinsically rather than through population immunity, which is a real success for that side.  The proposed mechanism was not:  Omicron is milder because it moved up the airway and spread faster, and the C-to-U bias the argument rests on is being visibly opposed by selection.

Sources


  1. 1.

    Sender, Ron et al.  “The total number and mass of SARS-CoV-2 virions.”  Proceedings of the National Academy of Sciences 118(25):e2024815118.  Jun 22, 2021.  Milo's group at the Weizmann Institute, the authors of BioNumbers.  Read from the PMC HTML, which carries no printed page numbers, so locators are section names.  The plain tag-stripping destroys every exponent;  all exponents here were recovered by rendering the sup elements as carets before stripping.  Mirror:  PMC

    1. 1a.

      Section Abstract:  “Although each infected person carries an estimated 1 billion to 100 billion virions during peak infection, their total mass is no more than 0.1 mg.”  Section Estimate of the Number of Virions in an Infected Individual:  “106 to 108 RNA copies per g×1,000 g×1 virions to RNA copies=109 to 1011 virions.”  The concentrations are measured in rhesus macaque tissue and scaled to a 70 kg human.  The range is the interquartile range across people, and the paper notes that extreme cases reach 1013. ↩

    2. 1b.

      Section Estimate of the Number of Virions in an Infected Individual:  “gives an estimated total production of 3 × 109 to 3 × 1012 virions, or 3 × 105 to 3 × 108 infectious units over the complete course of a characteristic infection”.  “the ratio between the total production of virions to their peak number is in the range of 3 to 30.” ↩

    3. 1c.

      Section Discussion:  “the arithmetic mean of the number of particles produced over the course of infection of an average individual is 1012 to 3 × 1013 viral particles”.  This is the figure to multiply by a count of people, because viral loads are roughly log-normally distributed and the median would understate the total.  It is the figure used in this article's ledger. ↩ ↩ ↩

    4. 1d.

      Section Discussion:  “we arrive at a total of 1017 to 1019 viral particles or 1013 to 1015 infectious units at any given time.”  Assuming 1 million to 10 million people near peak infection worldwide at any moment. ↩

    5. 1e.

      Section Discussion:  “we rely on estimates of the mutation rate per replication cycle per site (3 × 10−6 nt−1 per cycle) which have been measured for MHV, another betacoronavirus”.  MHV is mouse hepatitis virus.  This rate is not measured on SARS-CoV-2.  Amicone 2022 later measured SARS-CoV-2 directly at 1.3 × 10−6, about 2.3 times lower, and this article uses the direct measurement instead. ↩

    6. 1f.

      Section Abstract:  “We combine our estimates with the available literature on host immune response and viral mutation rates to demonstrate how antibodies markedly outnumber the spike proteins, and the genetic diversity of virions in an infected host covers all possible single nucleotide substitutions.” ↩

    7. 1g.

      Section Discussion:  “the estimated number of mutations generated daily (105 to 106 mutations per day) likely exceeds the total number of possible single nucleotide substitutions to the SARS-CoV-2 genome (≈105 substitutions) assuming 0.3 million to 3 million new cases a day worldwide.  As such, our estimates imply that every single base mutation is being generated de novo and transmitted to a new SARS-CoV-2 host, somewhere in the world, every day”.  The pull quote at the head of this article is the second sentence, lightly clipped at its start. ↩ ↩

    8. 1h.

      Section Discussion:  “As each nucleotide can mutate to three others (e.g., G can become A, T, or C) and the genome contains 30,000 nucleotides, there are ≈100,000 possible single nucleotide substitutions to the SARS-CoV-2 genome.”  “we expect that such a specific mutation will be observed in one out of every ∼200,000 infections.”  The example is E484K.  This article's own arithmetic uses the exact genome length, 29,903, giving 89,709 rather than the paper's round 100,000. ↩

  2. 2.

    Carter, Robert.  “Is Covid-19 evolving?  No, but it is changing rapidly.”  Creation Ministries International.  Jul 20, 2021.  Retrieved Sep 27, 2026.  Carter is a geneticist and a speaker and writer for Creation Ministries International.  The date field is the first posting;  the page also prints "Updated 24 Aug, 2021".  Copyright, excerpt only.  Downloaded with curl and a browser user-agent, then tags stripped locally.  It was not findable through creation.com's own search, which is a JavaScript application that returns nothing to curl;  it was found by downloading https://creation.com/__sitemap__/en.xml and grepping the URL list.

    1. 2a.

      Section How much change do we expect to see?:  “For things like viruses, which have very high population sizes and very high mutation rates, if a specific change is possible, it should also be expected to occur.” ↩ ↩

    2. 2b.

      Section How much change do we expect to see?:  “In other words, if a simple mutation will make a virus more infectious to humans, we should be looking for it.  It will happen.” ↩

    3. 2c.

      Section Natural selection is not the solution:  “The problem is that the virus has only been circulating for about 20 months, so the total number of mutations per virus is still quite low (about 25 single letter changes and an occasional small insertion or deletion).  Yet, the number of viruses that have existed over this timeframe is truly vast.  Essentially, every possible simple mutation has already occurred.” ↩ ↩

    4. 2d.

      Section New strains of Covid-19 are not proof of evolution:  “In fact, over time viral infectivity should wane.  As each viral strain in circulation picks up more and more mutations, it should become less and less robust.  This is the essence of genetic entropy and we saw it happen within the human H1N1 virus.  Yet, the process took decades in H1N1 and SARS-CoV-2 has only been around for a short time.  Will genetic entropy degrade the virus?  Yes.  Will it happen this year?  No.  And, while it is degrading, it might also pick up a mutation that makes it spread faster or one that makes it more deadly.” ↩

    5. 2e.

      Section How much change do we expect to see?:  “It can be estimated that only one in 1020 (100 quintillion) P. falciparum will have the necessary mutations and there would be about 1021 of these parasites in one billion infected people.”  Carter takes this from Behe's The Edge of Evolution.  The same arithmetic is examined in the Plasmodium falciparum article of this series. ↩

  3. 3.

    National Center for Biotechnology Information; Nextstrain; GISAID.  Live database counts for SARS-CoV-2, read 27 September 2026.  Sep 27, 2026.  Retrieved Sep 27, 2026.  Three counts read on one day and recorded with their exact queries in html/unpublished-ai/sars-cov-2/research/sources.md.  Database counts change daily;  no remembered number is printed anywhere in this article.

    1. 3a.

      “9,218,691”.  “9,165,053”.  NCBI Nucleotide, taxon 2697049.  Queried at https://eutils.ncbi.nlm.nih.gov/entrez/eutils/esearch.fcgi?db=nuccore&term=txid2697049[Organism:exp]&retmax=0 at 13:49 EDT on 2026-09-27 for the first figure, and with AND 29000:30500[SLEN] appended for the second. ↩ ↩

    2. 3b.

      “9437121”.  The Nextstrain open SARS-CoV-2 dataset, queried through the LAPIS API at https://lapis.cov-spectrum.org/open/v2/sample/aggregated at 13:48 EDT on 2026-09-27.  The response identified itself as sars_cov-2_nextstrain_open. ↩ ↩

    3. 3c.

      “22,536,977 genetic sequence submissions”.  From https://gisaid.org/ read at 13:48 EDT on 2026-09-27.  The page states just above this figure that data are shared via EpiFlu, EpiCoV, EpiRSV, EpiPox and EpiArbo, so the total covers all five databases and is only an upper bound on SARS-CoV-2.  GISAID publishes no EpiCoV-only total outside its login;  four open routes to one were tried and failed. ↩

  4. 4.

    World Health Organization.  WHO COVID-19 global data.  Sep 6, 2026.  Retrieved Sep 27, 2026.  A 3.89 MB CSV of daily and cumulative reported cases and deaths by country, downloaded by plain curl.

    1. 4a.

      “779,395,900”.  Not a printed figure.  It is the sum of the latest Cumulative_cases value for every country in the file.  The last date present in the file was 2026-09-06.  Reported cases are a floor on infections, not an estimate of them. ↩ ↩

  5. 5.

    COVID-19 Cumulative Infection Collaborators.  “Estimating global, regional, and national daily and cumulative infections with SARS-CoV-2 through Nov 14, 2021: a statistical analysis.”  The Lancet 399(10344):2351–2380.  Jun 25, 2022.  An Institute for Health Metrics and Evaluation study covering 190 countries, combining reported cases, reported deaths, excess deaths, hospital admissions and seroprevalence surveys.  CC BY 4.0.  Read from the PMC HTML, which carries no printed page numbers, so locators are section names.  Mirror:  PMC

    1. 5a.

      Section Summary, Findings:  “Between the start of the pandemic and Nov 14, 2021, there were an estimated 3·80 billion (95% uncertainty interval 3·44–4·08) total SARS-CoV-2 infections and reinfections combined, and an estimated 3·39 billion (3·08–3·63) individuals, or 43·9% (39·9–46·9) of the global population, had been infected one or more times.”  The count stops one week before Omicron was named, so it is a lower bound on the whole pandemic. ↩ ↩ ↩

  6. 6.

    Wu, Fan et al.  “A new coronavirus associated with human respiratory disease in China.”  Nature 579(7798):265–269.  Mar 12, 2020.  The first published SARS-CoV-2 genome, from Yong-Zhen Zhang's group.  Read from the PMC HTML;  locator is the abstract.  Mirror:  PMC

    1. 6a.

      Section Abstract:  “Phylogenetic analysis of the complete viral genome (29,903 nucleotides) revealed that the virus was most closely related (89.1% nucleotide similarity) to a group of SARS-like coronaviruses (genus Betacoronavirus, subgenus Sarbecovirus) that had previously been found in bats in China”. ↩ ↩ ↩

  7. 7.

    Amicone, Massimo et al.  “Mutation rate of SARS-CoV-2 and emergence of mutators during experimental evolution.”  Evolution, Medicine and Public Health 10(1):142–155.  Mar 29, 2022.  Isabel Gordo's experimental-evolution group at the Instituto Gulbenkian de Ciência, with the Portuguese national health institute.  CC BY 4.0.  Read from the PMC HTML;  locators are section names and exponents were recovered from the sup elements.  Mirror:  PMC

    1. 7a.

      Section Abstract, Results:  “From the frequencies of the mutations accumulated, and excluding the genes with signals of selection, we estimate a spontaneous mutation rate of 1.3 × 10−6 ± 0.2 × 10−6 per-base per-infection cycle (mean across both lineages of SARS-CoV-2 ± 2SEM).”  Measured by fifteen serial passages of two SARS-CoV-2 lineages in Vero cells followed by whole-genome sequencing.  This is the only direct measurement of the per-cycle rate found for this article. ↩ ↩ ↩

    2. 7b.

      Section Background and objectives:  “While there are estimates of the per-site per-year mutation rate of SARS-CoV-2 (∼1.12 × 10−3 nt−1 year−1 [15]), we still lack a direct quantification of the amount of mutations that can be generated in a single infection cycle.”  The paper's own statement that the per-year and per-cycle figures are different quantities.  Its reference 15 is the source of the per-year figure. ↩

    3. 7c.

      Section Results:  “Focusing on the synonymous changes, we estimated a basic mutation rate of 3.8 × 10−6 nt−1 cycle−1 for the CoV-2-D background and 1.2 × 10−6 nt−1 cycle−1 for the CoV-2-G”.  The threefold spread between the two lineages is why the headline rate should not be treated as tightly pinned. ↩

  8. 8.

    The ledger arithmetic, all of it.  Infections:  3.80 × 109 total infections and reinfections to 14 November 20215, used as a lower bound because the count stops before Omicron.  Virions:  3.80 × 109 × 1012 = 3.8 × 1021, and 3.80 × 109 × 3 × 1013 = 1.1 × 1023, using the arithmetic mean of virions produced per infection1.  Mutations per genome copied:  29,903 bases6 × 1.3 × 10−6 per base per cycle7 = 0.0389.  Total mutational events:  3.8 × 1021 × 0.0389 = 1.5 × 1020, and 1.1 × 1023 × 0.0389 = 4.4 × 1021.  Possible single substitutions:  29,903 × 3 = 89,709.  Substitutions per genome per year along a lineage:  1.1 × 10−319 × 29,903 = 32.9.  Each figure is a lower bound to the extent that the infection count is. ↩ ↩

  9. 9.

    How many times each combination of changes arose.  The number of mutations in one newly copied genome is taken as Poisson with mean λ = 0.0389, the figure from the note above.  The chance that a copy carries exactly k mutations is λke−λ/k!, which gives 3.75 × 10−2 for k = 1, 7.29 × 10−4 for k = 2, 9.51 × 10−6 for k = 3 and 9.27 × 10−8 for k = 4.  Multiplying by the total virions gives the number of genomes carrying k mutations:  1.4 × 1020 to 4.3 × 1021 with one, 2.8 × 1018 to 8.3 × 1019 with two, 3.6 × 1016 to 1.1 × 1018 with three, and 3.5 × 1014 to 1.0 × 1016 with four.  The number of distinct combinations is 89,709 choose k, which is 8.97 × 104, 4.02 × 109, 1.20 × 1014 and 2.70 × 1018.  Dividing gives the per-combination counts in the table:  1.6 × 1015 to 4.8 × 1016 for a single change, 6.9 × 108 to 2.1 × 1010 for a specific pair, 297 to 8,900 for a specific triple, and 0.00013 to 0.0039 for a specific quadruple.  Two limits of this calculation.  It assumes every site mutates at the same rate, which is false;  transitions and C-to-U changes are far more common than the average17, so common changes arose more often than this and rare ones less.  And it counts mutations arising in one copying event, not pairs assembled in two steps through an intermediate, which is much easier and is what actually happened in the Omicron receptor-binding domain. ↩ ↩

  10. 10.

    Starr, Tyler N. et al.  “Shifting mutational constraints in the SARS-CoV-2 receptor-binding domain during viral evolution.”  Science 377(6604):420–424.  Jul 22, 2022.  Read from the PMC author manuscript, which carries no printed page numbers, so locators are section names.  Mirror:  PMC

    1. 10a.

      Section Results:  “One of the strongest epistatic shifts is the potentiation of Q498R by N501Y (Figs. 2C and 3A).  Although Q498R alone weakly reduces ACE2 affinity in the Wuhan-Hu-1 RBD, it confers a 25-fold enhancement in affinity when present in conjunction with N501Y (which itself improves binding 15-fold in Wuhan-Hu-1), such that the double mutant has a 387-fold increased binding affinity.”  Measured by deep mutational scanning of every single amino-acid change in the receptor-binding domains of Wuhan-Hu-1, Alpha, Beta, Delta and Eta. ↩ ↩ ↩

    2. 10b.

      Section Results:  “the set of mutations in the Omicron RBD are predicted to strongly impair ACE2 affinity based on their summed single-mutant effects in Wuhan-Hu-1 (Fig. 3B, left), but their summed single-mutant effects in the Beta background (which has N501Y) is about zero (Fig. 3B, right), consistent with the actual affinity of the Omicron RBD for ACE2.” ↩

    3. 10c.

      Section Introduction:  “we identified the N501Y mutation as enhancing ACE2-binding affinity prior to the emergence of this consequential mutation in the Alpha variant”.  The earlier work is Starr 2020, in this list. ↩

    4. 10d.

      Section Results:  “The Q498R/N501Y double mutation was first discovered in directed evolution studies ( 6 ) and is present in the RBD of the Omicron”. ↩

  11. 11.

    Iketani, Sho et al.  “Multiple pathways for SARS-CoV-2 resistance to nirmatrelvir.”  Nature 613(7944):558–564.  Jan 19, 2023.  First published online 9 November 2022.  David Ho's laboratory at Columbia.  CC BY.  Read from the PMC HTML;  locators are section names.  Mpro is the same enzyme as 3CL protease and nsp5.  Mirror:  PMC

    1. 11a.

      Section Abstract:  “Construction and analysis of 13 recombinant SARS-CoV-2 clones showed that these mutations mediated only low-level resistance, whereas greater resistance required accumulation of additional mutations.  E166V mutation conferred the strongest resistance (around 100-fold), but this mutation resulted in a loss of viral replicative fitness that was restored by compensatory changes such as L50F and T21I.” ↩ ↩ ↩

    2. 11b.

      Section Results:  “The observed mutations occurred in a stepwise manner, mirroring the increases in drug resistance (Fig. 1f)”.  “seven mutations appeared ten or more times across replicates: T21I, L50F, S144A, E166V, A173V, P252L and T304I.” ↩

  12. 12.

    Ip, Jonathan Daniel et al.  “Global prevalence of SARS-CoV-2 3CL protease mutations associated with nirmatrelvir or ensitrelvir resistance.”  eBioMedicine 91:104559.  May 2023.  First published online 14 April 2023.  University of Hong Kong.  CC BY-NC-ND.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 12a.

      Section Summary, Findings:  “Overall, 0.5% (67,095/13,446,588) of the sequences contained at least one mutation that was shown to affect the inhibitory activity of nirmatrelvir or ensitrelvir on viral replication or 3CLpro activity.  We did not observe any increasing trend of resistance after the widespread clinical use of nirmatrelvir-ritonavir.  G15S (2070 per million) and T21I (1386 per million) were the most prevalent mutations”. ↩ ↩

    2. 12b.

      Section Summary, Methods:  “determined their prevalence among 13.4 million sequences deposited in GISAID as of December 14, 2022, about 1 year after the approval of nirmatrelvir-ritonavir.”  The one published GISAID SARS-CoV-2 count this article could verify.  The exact denominator printed in the Findings is 13,446,588. ↩

  13. 13.

    Jungreis, Irwin et al.  “SARS-CoV-2 gene content and COVID-19 mutation impact by comparing 44 Sarbecovirus genomes.”  Nature Communications 12:2642.  May 11, 2021.  Manolis Kellis's group at MIT, using the PhyloCSF protein-coding signature.  CC BY.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 13a.

      Section Abstract:  “We find strong protein-coding signatures for ORFs 3a, 6, 7a, 7b, 8, 9b, and a novel alternate-frame gene, ORF3c, whereas ORFs 2b, 3d/3d-2, 3b, 9c, and 10 lack protein-coding signatures or convincing experimental evidence of protein-coding function.  Furthermore, we show no other conserved protein-coding genes remain to be discovered.”  The evidence for ORF3c is conservation across 44 sarbecovirus genomes, which means it existed long before December 2019.  It is new to the annotation, not new to the virus. ↩ ↩

    2. 13b.

      Section Results:  “Previous studies have proposed four other candidate protein-coding ORFs overlapping S and ORF3a, namely ORF2b (39 codons); ORF3d (57 codons); ORF3d-2 (33 codons), a subset of ORF3d starting at a downstream in-frame AUG; and ORF3b (22 codons), a truncated ortholog of SARS-CoV ORF3b”.  “None of these are conserved in the species Severe acute respiratory syndrome-related coronavirus, showing non-conserved start codon, variable l”.  The last quotation is cut at a line break in the source;  the sentence continues to list further evidence of non-conservation. ↩

  14. 14.

    Lythgoe, Katrina A. et al.  “SARS-CoV-2 within-host diversity and transmission.”  Science 372(6539).  Apr 23, 2021.  Article number eabg0821.  The Oxford COVID-19 Genomics consortium.  CC BY.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 14a.

      Section Abstract, Results:  “Comparing iSNVs among 14 household contact pairs, we estimated transmission bottleneck sizes of one to eight viruses.”  iSNV is an intrahost single-nucleotide variant.  Estimated by the exact beta-binomial method. ↩ ↩

    2. 14b.

      Section Abstract, Conclusion:  “Using robust methods to call within-host variants, we uncovered a consistent pattern of low within-host diversity, purifying selection, and narrow transmission bottlenecks.” ↩

    3. 14c.

      Section Abstract, Conclusion:  “Within-host emergence of vaccine and therapeutic escape mutations is likely to be relatively rare, at least during early infection, when viral loads are high”. ↩

    4. 14d.

      Section Discussion:  “This means that if mutations do arise, they will be prone to loss at the point of transmission.” ↩

    5. 14e.

      Section Results:  “These observations are consistent with the small bottleneck sizes observed for influenza (30,32) and SARS-CoV-2 (33,37) but considerably lower than estimates in a recent Austrian study (25).  The reasons for the discrepancies are unclear”.  The paper's own statement of the disagreement.  The Austrian study was not obtained for this article. ↩

  15. 15.

    Halfmann, Peter J. et al.  “SARS-CoV-2 Omicron virus causes attenuated disease in mice and hamsters.”  Nature 603(7902):687–692.  Mar 24, 2022.  The SARS-CoV-2 Assessment of Viral Evolution programme of the US National Institute of Allergy and Infectious Diseases, coordinated from Yoshihiro Kawaoka's laboratory.  CC BY.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 15a.

      Section Results:  “Thus, B.1.1.529 replicates less efficiently in the lungs of Syrian hamsters, which results in less severe pneumonia compared to that resulting from the B.1.617.2 variant.”  B.1.1.529 is Omicron BA.1 and B.1.617.2 is Delta.  The animals had no prior immunity, so the comparison isolates the intrinsic property of the virus. ↩ ↩

  16. 16.

    Nyberg, Tommy et al.  “Comparative analysis of the risks of hospitalisation and death associated with SARS-CoV-2 omicron (B.1.1.529) and delta (B.1.617.2) variants in England: a cohort study.”  The Lancet 399(10332):1303–1312.  Apr 2, 2022.  UK Health Security Agency with Imperial College London.  CC BY.  Read from the PMC HTML;  locators are section names.  The cohort included 1,067,859 Omicron infections.  Mirror:  PMC

    1. 16a.

      Section Summary, Findings:  “The adjusted hazard ratio (HR) of hospital attendance (not necessarily resulting in admission) with omicron compared with delta was 0·56 (95% CI 0·54–0·58); for hospital admission and death, HR estimates were 0·41 (0·39–0·43) and 0·31 (0·26–0·37), respectively.” ↩

    2. 16b.

      Section Summary, Interpretation:  “Underlying the observed risks is a larger reduction in intrinsic severity (in unvaccinated individuals) counterbalanced by a reduction in vaccine effectiveness.”  The separation of intrinsic severity from vaccine effect is the paper's secondary analysis. ↩ ↩

  17. 17.

    Rice, Alan M. et al.  “Evidence for Strong Mutation Bias toward, and Selection against, U Content in SARS-CoV-2: Implications for Vaccine Design.”  Molecular Biology and Evolution 38(1):67–83.  Jan 2021.  Laurence Hurst's group at Bath.  CC BY.  Read from the PMC HTML;  locators are section names.  A correction was published, Mol Biol Evol 2021 Sep 14;38(11):5210.  This is the paper Robert Carter cites for the C-to-U bias, as his reference 5.  Mirror:  PMC

    1. 17a.

      Section Abstract:  “Analysis of mutational profiles indicates a strong mutation bias toward U.  In turn, analysis of observed synonymous site composition implicates selection against U.  Accounting for dinucleotide effects reinforces this conclusion, observed UU content being a quarter of that expected under neutrality.” ↩ ↩

    2. 17b.

      Section Results:  “From 1,151 mutations at 4-fold degenerate third sites, we find a heavily GC→AU biased mutational profile (table 1).  From this, we deduce that equilibrium GC (termed GC) should be 17.13% (95% bootstrap estimates 17.09–17.52).”  “Specifically, we find: U4 = 65.67%; A4 = 17.20; C4 = 13.09%; G4 = 4.04%.”  GC is the composition the genome would reach if mutation alone acted.  The observed composition is far from it, which is the paper's evidence for selection against U. ↩ ↩

  18. 18.

    Bergeri, Isabel et al.  “Global SARS-CoV-2 seroprevalence from January 2020 to April 2022: A systematic review and meta-analysis of standardized population-based studies.”  PLoS Medicine 19(11):e1004107.  Nov 2022.  The World Health Organization's Unity-protocol seroprevalence synthesis.  CC BY 4.0.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 18a.

      Section Abstract, Methods and findings:  “In 2021 Quarter Three (July to September), median seroprevalence to cumulative incidence ratios ranged from around 2:1 in the Americas and Europe HICs to over 100:1 in Africa (LMICs).”  HIC is high-income country, LMIC is low- and middle-income country.  This is the measured size of the gap between reported cases and infections. ↩

  19. 19.

    Duchene, Sebastian et al.  “Temporal signal and the phylodynamic threshold of SARS-CoV-2.”  Virus Evolution 6(2).  2020.  Article number veaa061.  CC BY.  Held in the project source library as sources/papers/duchene-2020_temporal-signal-phylodynamic-threshold-sars-cov-2.pdf and read with pdftotext -layout.  That extraction destroys the multiplication sign and the negative exponent, printing 1.1 × 10−3 as "1.1  103";  the sign is fixed by the credible interval, which the same sentence prints as 7.03 × 10−4 to 1.5 × 10−3.  Mirror:  PMC

    1. 19a.

      Section Abstract:  “Analyses of subsequent data sets, that included between 47 and 122 genomes, converged at an evolutionary rate of about 1.1 × 10−3 subs/site/year and a time of origin of around late November 2019.”  Section Results:  “95 per cent credible interval (CI) of between 7.03 × 10−4 and 1.5 × 10−3 substitutions per site per year.”  A substitution rate along a transmission chain, not a mutation rate per replication.  Across 29,903 bases it is about 33 substitutions per genome per year.  It was fitted to the first few months of the pandemic. ↩ ↩ ↩

  20. 20.

    Andersen, Kristian G. et al.  “The proximal origin of SARS-CoV-2.”  Nature Medicine 26(4):450–452.  Apr 2020.  Cited here only for the description of the furin cleavage site and for one side of the origin dispute, which this article does not adjudicate.  Read from the PMC HTML.  Mirror:  PMC

    1. 20a.

      Section Notable features of the SARS-CoV-2 genome:  “the spike protein of SARS-CoV-2 has a functional polybasic (furin) cleavage site at the S1–S2 boundary through the insertion of 12 nucleotides, which additionally led to the predicted acquisition of three O-linked glycans around the site.”  A superscript reference number follows "12 nucleotides" in the source and is omitted here. ↩

    2. 20b.

      Section Opening:  “Our analyses clearly show that SARS-CoV-2 is not a laboratory construct or a purposefully manipulated virus.” ↩

  21. 21.

    Segreto, Rossana, and Yuri Deigin.  “The genetic structure of SARS-CoV-2 does not rule out a laboratory origin: SARS-COV-2 chimeric structure and furin cleavage site might be the result of genetic manipulation.”  BioEssays 43(3):2000240.  Mar 2021.  Cited here only as the other side of the origin dispute, which this article does not adjudicate.  CC BY.  Read from the PMC HTML.  Mirror:  PMC

    1. 21a.

      Section Abstract:  “Genomic analyses show SARS-CoV-2 likely to be chimeric, most of its sequence closest to bat CoV RaTG13, whereas its receptor binding domain (RBD) is almost identical to that of a pangolin CoV.  Chimeric viruses can arise via natural recombination or human intervention.”  The sentence quoted in the body of this article is the paper's own title.  The source prints the hyphens in SARS-CoV-2 as non-breaking hyphens. ↩

  22. 22.

    Meng, Bo et al.  “Altered TMPRSS2 usage by SARS-CoV-2 Omicron impacts infectivity and fusogenicity.”  Nature 603(7902):706–714.  Mar 24, 2022.  The Cambridge Institute of Therapeutic Immunology and Infectious Disease with Japanese collaborators.  CC BY.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 22a.

      Section Abstract:  “we show that the spike protein of Omicron has a higher affinity for ACE2 compared with Delta, and a marked change in its antigenicity increases Omicron's evasion of therapeutic monoclonal and vaccine-elicited polyclonal neutralizing antibodies”.  Section Introduction:  “Here we examine the biological properties of Omicron, and focus on spike-mediated evasion of neutralizing antibodies, increased ACE2 binding affinity, a shift in tropism away from TMPRSS2-expressing cells and compromised ability to generate syncytia.” ↩

    2. 22b.

      Section Results:  “The plasma membrane route of entry, and indeed transmissibility and disease severity in animal models, is critically dependent on the polybasic cleavage site (PBCS) between S1 and S2 … and cleavage of spike before virion release from producer cells; this contrasts with the endosomal entry route, which does not require spike cleavage in producer cells”.  Both routes were available to the virus from the start.  Omicron shifts the balance between them. ↩ ↩

    3. 22c.

      Section Results:  “Omicron has three mutations in the region of the furin-cleavage site (P681H, H655Y and N679K) and was initially predicted to be highly infectious and pathogenic.”  A superscript reference number follows "infectious" in the source and is omitted here. ↩

  23. 23.

    Saito, Akatsuki et al.  “Enhanced fusogenicity and pathogenicity of SARS-CoV-2 Delta P681R mutation.”  Nature 602(7896):300–306.  Feb 10, 2022.  The Genotype to Phenotype Japan consortium.  CC BY.  Read from the PMC HTML;  locator is the abstract.  Mirror:  PMC

    1. 23a.

      Section Abstract:  “Here we show that the B.1.617.2/Delta variant is highly fusogenic and notably more pathogenic than prototypic SARS-CoV-2 in infected hamsters.  The P681R mutation in the spike protein, which is highly conserved in this lineage, facilitates cleavage of the spike protein and enhances viral fusogenicity.  Moreover, we demonstrate that the P681R-bearing virus exhibits higher pathogenicity compared with its parental virus.” ↩ ↩

  24. 24.

    Lubinski, Bailey et al.  “Functional evaluation of the P681H mutation on the proteolytic activation of the SARS-CoV-2 variant B.1.1.7 (Alpha) spike.”  iScience 25(1):103589.  Jan 21, 2022.  Gary Whittaker's laboratory at Cornell.  CC BY-NC-ND.  Read from the PMC HTML;  locator is the abstract.  Mirror:  PMC

    1. 24a.

      Section Abstract:  “We performed assays using fluorogenic peptides mimicking the Wuhan-Hu-1 and B.1.1.7 S1/S2 sequence and observed no significant difference in furin cleavage.”  A peptide assay, not a whole-virus one.  The result is a negative in one assay and does not rule out an effect by another route. ↩

  25. 25.

    Korber, Bette et al.  “Tracking Changes in SARS-CoV-2 Spike: Evidence that D614G Increases Infectivity of the COVID-19 Virus.”  Cell 182(4):812–827.  Aug 20, 2020.  Los Alamos National Laboratory, running a monitoring pipeline over the GISAID deposits.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 25a.

      Section Highlights:  “A SARS-CoV-2 variant with Spike G614 has replaced D614 as the dominant pandemic form”.  “G614 is associated with lower RT PCR Cts, suggestive of higher viral loads in patients”. ↩

    2. 25b.

      Section Results:  “The haplotype comprising these 4 genetically linked mutations is now the globally dominant form.  Prior to March 1, 2020, it was found in 10% of 997 global sequences; between March 1 and March 31, 2020, it represented 67% of 14,951 sequences; and between April 1 and May 18, 2020 (the last data point available in our May 29, 2020 sample), it represented 78% of 12,194 sequences.”  The four linked changes are C241T in the 5' untranslated region, a silent C-to-T at position 3,037, C14408T giving RdRp P323L, and A23403G giving spike D614G. ↩ ↩

  26. 26.

    Plante, Jessica A. et al.  “Spike mutation D614G alters SARS-CoV-2 fitness.”  Nature 592(7852):116–121.  Apr 2021.  First published online 26 October 2020.  University of Texas Medical Branch.  Read from the PMC author manuscript, which carries no printed page numbers, so locators are section names.  A correction was published, Nature 2021 Jun 15;595(7865):E1.  Mirror:  PMC

    1. 26a.

      Section Summary:  “D614G enhances replication on human lung epithelial cells and primary human airway tissues through an improved infectivity of virions.” ↩

    2. 26b.

      Section Results:  “the G614 virus produced modest 1.2-, 2.4-, and 1.9-fold more infectious virus than the D614 virus at 24, 36, and 48 hpi, respectively (Fig. 1f), indicating that D614G enhances viral replication.”  Calu-3 human lung epithelial cells at a multiplicity of infection of 0.01.  hpi is hours post-infection.  The change was engineered into a cloned USA-WA1/2020 virus, so the comparison is isogenic. ↩ ↩

    3. 26c.

      Section Summary:  “Hamsters infected with the G614 variant produced higher infectious titers in the nasal washes and trachea, but not lungs, confirming clinical evidence that the D614G mutation enhances viral loads in the upper respiratory tract of COVID-19 patients and may increases transmission.”  The grammatical slip in the last clause is the paper's. ↩

  27. 27.

    Starr, Tyler N. et al.  “Deep Mutational Scanning of SARS-CoV-2 Receptor Binding Domain Reveals Constraints on Folding and ACE2 Binding.”  Cell 182(5):1295–1310.  Sep 3, 2020.  Jesse Bloom's laboratory at the Fred Hutchinson Cancer Research Center.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 27a.

      Section Summary:  “Most mutations are deleterious for RBD expression and ACE2 binding”. ↩

    2. 27b.

      Section Summary:  “But a substantial number of mutations are well tolerated or even enhance ACE2 binding, including at ACE2 interface residues that vary across SARS-related coronaviruses.  However, we find no evidence that these ACE2-affinity-enhancing mutations have been selected in current SARS-CoV-2 pandemic isolates.”  True when written, in mid-2020.  Alpha with N501Y appeared four months later. ↩

    3. 27c.

      Section Results:  “These experiments recapitulated the deep mutational scanning (Figures 4A–4C), including confirmation that some mutations enhance expression (V367F and G502D) or ACE2 affinity (N501F, N501T, and Q498Y) in the context of yeast-expressed RBD.” ↩

  28. 28.

    Viana, Raquel et al.  “Rapid epidemic expansion of the SARS-CoV-2 Omicron variant in southern Africa.”  Nature 603(7902):679–686.  Mar 24, 2022.  The southern African genomic surveillance network that first described Omicron.  CC BY.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 28a.

      Section Abstract:  “The Omicron variant is exceptional for carrying over 30 mutations in the spike glycoprotein, which are predicted to influence antibody neutralization and spike function”. ↩ ↩

    2. 28b.

      Section Molecular profile of Omicron:  “Compared with Wuhan-Hu-1, BA.1 carries 15 mutations in the spike receptor-binding domain (RBD) (Fig. 3), five of which (G339D, N440K, S477N, T478K and N501Y) have been shown individually to enhance bind to human ACE2 (hACE2).  Seven of the RBD mutations (K417N, G446S, E484A, Q493R, G496S, Q498R and N501Y) are expected to have moderate to strong effects on the binding of at least three out of the four major classes of RBD-targeted neutralizing antibodies”.  The missing word in "enhance bind to" is the paper's.  Superscript reference numbers in the source are omitted from quotations throughout this article. ↩ ↩

    3. 28c.

      Section Results:  “The branch separating BA.1 from its most recent B.1.1 ancestor had the most prominent selection signal (which was strongest in the S gene, with evidence for nine positively selected sites along this branch), strongly supporting the hypothesis that adaptive evolution had a substantial role in the mutational divergence of Omicron from other B.1.1 SARS-CoV-2 lineages.”  A superscript reference number follows "this branch" in the source and is omitted here. ↩

    4. 28d.

      Section Results:  “Potential evidence of a single recombination event involving BA.1, BA.2 and BA3 was identified by 3SEQ (P = 0.03)”.  A weak signal.  The paper tested three recombination hypotheses for the origin of the BA lineages with GARD, 3SEQ and RDP5.  It does not discuss the chronic-infection hypothesis at all. ↩

  29. 29.

    Harari, Sheri et al.  “Drivers of adaptive evolution during chronic SARS-CoV-2 infections.”  Nature Medicine 28(7):1501–1508.  Jul 2022.  Adi Stern's group at Tel Aviv University.  CC BY.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 29a.

      Section Abstract:  “In some immunocompromised patients with chronic severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection, considerable adaptive evolution occurs.  Some substitutions found in chronic infections are lineage-defining mutations in variants of concern (VOCs), which has led to the hypothesis that VOCs emerged from chronic infections.”  The paper states this as a hypothesis, and this article reports it as one.  No sample of Omicron's ancestor was ever taken. ↩

    2. 29b.

      Section Introduction:  “To date, all cases of chronic SARS-CoV-2 infection have been associated with a severely immunosuppressed condition, including primary immunodeficiencies, immunosuppressive therapy after solid organ transplants, acquired immunodeficiency syndrome (AIDS) and a compromised immune response associated with hematological cancer and/or its treatment.” ↩

  30. 30.

    Corey, Lawrence et al.  “SARS-CoV-2 Variants in Patients with Immunosuppression.”  New England Journal of Medicine 385(6):562–566.  Aug 5, 2021.  A special report, not a research paper.  Read from the PMC HTML;  locator is the opening section.  Mirror:  PMC

    1. 30a.

      Section Opening:  “In several case reports, investigators have indicated that multimutational SARS-CoV-2 variants can arise during the course of such persistent cases of coronavirus disease 2019 (Covid-19).  These highly mutated variants are indicative of a form of rapid, multistage evolutionary jumps (saltational evolution; see Glossary), which could preferentially occur in the milieu of partial immune control.” ↩

  31. 31.

    Cao, Yunlong et al.  “BA.2.12.1, BA.4 and BA.5 escape antibodies elicited by Omicron infection.”  Nature 608(7923):593–602.  Aug 2022.  First published online 17 June 2022.  Peking University and Changping Laboratory.  CC BY.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 31a.

      Section Abstract:  “Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) Omicron sublineages BA.2.12.1, BA.4 and BA.5 exhibit higher transmissibility than the BA.2 lineage.  The receptor binding and immune-evasion capability of these recently emerged variants require immediate investigation.”  A superscript reference number follows "BA.2 lineage" in the source and is omitted here. ↩

    2. 31b.

      Section Results:  “the lack of G496S in BA.2 sublineages meant that the hydrogen bond with hACE2 K353 was regained, increasing their binding capability, in line with experimental observations revealed by deep mutational scanning (DMS) assay”.  “Notably, the F486V mutation in BA.4/BA.5 spike decreases hACE2 binding activity”.  Escape bought at the price of receptor affinity. ↩ ↩

  32. 32.

    McCarthy, Kevin R. et al.  “Recurrent deletions in the SARS-CoV-2 spike glycoprotein drive antibody escape.”  Science 371(6534):1139–1142.  Mar 12, 2021.  University of Pittsburgh.  Read from the PMC author manuscript, which carries no printed page numbers, so the locator is the abstract.  Mirror:  PMC

    1. 32a.

      Section Abstract:  “Coronaviruses acquire substitutions more slowly than other RNA viruses.  In the spike glycoprotein, we found that recurrent deletions overcome this slow substitution rate.  Deletion variants arise in diverse genetic and geographic backgrounds, transmit efficiently, and are present in novel lineages, including those of current global concern.  They frequently occupy recurrent deletion regions (RDRs), which map to defined antibody epitopes.  Deletions in RDRs confer resistance to neutralizing antibodies.” ↩ ↩

  33. 33.

    Gandhi, Shiv et al.  “De novo emergence of a remdesivir resistance mutation during treatment of persistent SARS-CoV-2 infection in an immunocompromised patient: a case report.”  Nature Communications 13:1547.  Mar 17, 2022.  Yale School of Medicine.  CC BY.  Read from the PMC HTML;  locator is the abstract.  Mirror:  PMC

    1. 33a.

      Section Abstract:  “Whole genome sequencing identified a mutation, E802D, in the nsp12 RNA-dependent RNA polymerase, which was not present in pre-treatment specimens.  In vitro experiments demonstrated that the mutation conferred a ~6-fold increase in remdesivir IC50 but resulted in a fitness cost in the absence of remdesivir.”  One patient, with acquired B-cell deficiency.  The paper opens by stating that remdesivir resistance mutations had been generated in vitro but not previously reported in treated patients. ↩ ↩

  34. 34.

    Stevens, Laura J. et al.  “Mutations in the SARS-CoV-2 RNA-dependent RNA polymerase confer resistance to remdesivir by distinct mechanisms.”  Science Translational Medicine 14(656).  Jul 20, 2022.  Article number eabo0718.  Vanderbilt and Alberta.  Read from the PMC HTML.  Cited for the existence of laboratory-selected polymerase resistance by more than one mechanism;  no wording is quoted from it.  Mirror:  PMC ↩

  35. 35.

    Su, Yvonne C. F. et al.  “Discovery and Genomic Characterization of a 382-Nucleotide Deletion in ORF7b and ORF8 during the Early Evolution of SARS-CoV-2.”  mBio 11(4):e01610-20.  Aug 25, 2020.  Duke-NUS Medical School, Singapore.  CC BY.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 35a.

      Section Abstract:  “Here, we report a 382-nucleotide (nt) deletion in SARS-CoV-2 that truncates open reading frame 7b (ORF7b) and ORF8, removing the ORF8 transcription regulatory sequence (TRS) and eliminating ORF8 transcription.  The earliest 382-nt deletion variant was detected in Singapore on 29 January 2020, with the deletion viruses circulating in the country and accounting for 23.6% (45/191) of SARS-CoV-2 samples screened”.  Section Results:  “a 382-nucleotide (nt) deletion corresponding to positions 27,848 to 28,229 of the SARS-CoV-2 genome”. ↩

  36. 36.

    Young, Barnaby E. et al.  “Effects of a major deletion in the SARS-CoV-2 genome on the severity of infection and the inflammatory response: an observational cohort study.”  The Lancet 396(10251):603–611.  Aug 29, 2020.  The PROTECT cohort study in Singapore.  Read from the PMC HTML;  locators are section names.  Mirror:  PMC

    1. 36a.

      Section Summary, Findings:  “Development of hypoxia requiring supplemental oxygen was less frequent in the ∆382 variant group (0 [0%] of 29 patients) than in the wild-type only group (26 [28%] of 92; absolute difference 28% [95% CI 14–28]).  After adjusting for age and presence of comorbidities, infection with the ∆382 variant only was associated with lower odds of developing hypoxia requiring supplemental oxygen (adjusted odds ratio 0·07 [95% CI 0·00–0·48]) compared with infection with wild-type virus only.”  131 patients enrolled out of 278 screened.  The study measures severity, not transmission. ↩

  37. 37.

    Bloom, Jesse D., and Richard A. Neher.  “Fitness effects of mutations to SARS-CoV-2 proteins.”  Virus Evolution 9(2).  2023.  Article number vead055.  CC BY.  Read from the PMC HTML;  locators are section names.  A correction was published, Virus Evol 2024 Mar 26;10(1):veae026.  The method counts how often each mutation occurs on the millions-of-sequences phylogeny against how often mutation alone should put it there.  Mirror:  PMC

    1. 37a.

      Section Results:  “Stop-codon and amino acid mutations to ORF7a and ORF8 are not more deleterious than synonymous mutations (although recall that our estimates are only sensitive to fitness costs greater than a few percent).  The lack of deleterious mutations to ORF8 is consistent with the fact that viruses with deletions in this gene have spread in humans (Su et al. 2020) and that major variants had stop codons early in ORF8.  Indeed, the loss of accessory proteins such as ORF8 appears to occur with some regularity during the early evolution of non-human viruses in humans”. ↩ ↩ ↩

    2. 37b.

      Section Results:  “However, most accessory proteins are under little constraint”. ↩

    3. 37c.

      Section Results:  “The only accessory protein under strong purifying selection against stop codons is ORF3a (Fig. 3B), for which stop codons in the first 240 residues are clearly deleterious”. ↩

  38. 38.

    Nemudryi, Artem et al.  “SARS-CoV-2 genomic surveillance identifies naturally occurring truncation of ORF7a that limits immune suppression.”  Cell Reports 35(9):109197.  Jun 1, 2021.  Montana State University.  CC BY.  Read from the PMC HTML;  locator is the abstract.  Mirror:  PMC

    1. 38a.

      Section Abstract:  “Using global phylogenomics, we show that mutations frequently occur in the C-terminal end of ORF7a.  We isolate one of these mutant viruses from a patient sample and use viral challenge experiments to link this isolate (ORF7aΔ115) to a growth defect.  ORF7a is implicated in immune modulation, and we show that the C-terminal truncation negates anti-immune activities of the protein, which results in elevated type I interferon response to the viral infection.” ↩

  39. 39.

    Unique functional sequence created, the series unit of account.  Lower bound, twelve positions whose functional effect was measured in a controlled comparison:  spike D614G26, N501Y and Q498R10, G339D, N440K, S477N and T478K28, F486V31, P681R23, Mpro E166V and L50F11, and nsp12 E802D33.  Each needs at least one nucleotide, so twelve nucleotides.  Upper bound, under 100:  Omicron's whole spike set of over thirty changes28 counted as though every one mattered, plus the alternative forms in Alpha, Beta, Gamma and Delta, the recurrent spike deletions, and the two drug targets.  Deleted genes add nothing and negative counts are not subtracted.  Per virion:  12 ÷ 1.1 × 1023 = 1.1 × 10−22, and 100 ÷ 3.8 × 1021 = 2.6 × 10−20.  Per infection:  12 ÷ 3.80 × 109 = 3.2 × 10−9, and 100 ÷ 3.80 × 109 = 2.6 × 10−8.  Both are lower bounds, for the reasons given in Part 6. ↩

  40. 40.

    Liu, Yao.  “Attenuation and Degeneration of SARS-CoV-2 Despite Adaptive Evolution.”  Cureus 15(1):e33316.  Jan 3, 2023.  A single-author narrative review, not a measurement.  Cureus has a light peer-review reputation.  It is cited here as the strongest published statement of the attenuation case, labelled as such.  CC BY.  Read from the PMC HTML;  locator is the abstract.  Mirror:  PMC

    1. 40a.

      Section Abstract:  “Instead, selection for antibody-escaping variants and accumulation of near-neutral mutations have led to suboptimal codon usage and reduced replicative capacity, as demonstrated in non-respiratory cell lines.  Beneficial adaptation of the virus includes reduced infectivity in lung tissues and increased tropism for the upper airway, resulting in shorter incubation periods, milder diseases, and more efficient transmission between people.” ↩

  41. 41.

    Dadonaite, Bernadeta et al.  “A pseudovirus system enables deep mutational scanning of the full SARS-CoV-2 spike.”  Cell 186(6):1263–1278.  Mar 16, 2023.  Obtained and read for this article but not quoted.  Recorded here because it is the source for the claim that whole-spike mutational scanning now exists and still does not cover every function of the protein.  Mirror:  PMC