"multiple independent variants have allowed various human populations to quickly modify LCT expression and have been strongly adaptive in adult milk-consuming populations" — Sarah Tishkoff and colleagues, 20071
"an existing promoter of the compensating gene could have its sequence altered, binding a transcription factor more strongly and thus leading to overexpression, which would be classed as a modification-of-function mutation" — Michael Behe, 20102
Summary
Most mammals, and most people, stop making the milk-digesting enzyme lactase after weaning. Lactase persistence is the trait of making it for life. It is the best-documented case of recent natural selection in humans, and it is a small change. This article scores it with the rules in Measuring Biological Information and prices it in the currency the Benchmarking Evolution series uses: people, generations and mutations.
- The change is one letter in a switch, not a new gene. In Europeans it is a C-to-T change 13,910 letters upstream of the lactase gene, inside an intron of a neighbouring gene called MCM6.3 4 The stretch of DNA around it is an enhancer, a docking site for proteins that turn a gene up. Both versions of the enhancer work in cultured intestinal cells. The persistence version works harder, by about 1.3 to 4 times depending on the laboratory.5 6 In adult intestines the ordinary version gets chemically silenced with age and the persistence version does not.7 No protein changed. The gene stays on.
- It happened at least five separate times. Five different one-letter changes, in Europe, East Africa and Arabia, each on its own chromosome background, now have laboratory evidence that they raise expression. Two more are candidates.8 8 This repetition is the strongest evidence in the case for the mainstream reading.
- Selection was strong, but nobody measured it directly. Published selection coefficients run from 0.014 to 0.19. They differ by method, by the dates assumed and by the way the number is defined. Ancient DNA shows the European allele was rare until about 2000 BC and then rose from 2 of 26 chromosomes sampled at a Bronze Age battlefield in northern Germany to 144 of 192 in modern Europeans, over about 130 generations.9
- It was not watched. The allele counts in dated skeletons are the nearest thing to an observation in human evolution. Their time axis rests on radiocarbon dates of bone. The selection coefficients are model output. Part 4 separates the three.
- By Behe's own rules the main variants are modifications, not gains and not losses. Behe's 2010 paper scores this exact situation: a control element changed so that it binds a transcription factor more strongly is "a modification-of-function mutation, as an existing FCT was altered, not gained or lost".2 One East African variant adds a new protein-binding complex and is a candidate gain. The common creationist description, a broken off-switch and a loss of information, does not match the molecular data. The weaker creationist point, that no new gene or protein was made, is correct.
- One-letter changes like this are cheap. Each specific change arises about once in every 160 to 530 million gene copies passed on. A population of a million people makes a new copy of the European variant about every 81 generations, and about one copy in ten escapes loss by chance. The five independent finds show that a single-letter tweak to an existing switch is easy to find, and nothing about changes that need several letters before any helps.
- The timing suits a short chronology better than most cases, but not entirely. Most of the rise falls in the last 3,200 years, where young-earth and conventional dates roughly agree. The earliest carriers are radiocarbon-dated to about 4700 to 4600 BC, before the Flood on either the Masoretic or the Septuagint chronology. A young-earth reading has to compress those dates.
Verdict. Lactase persistence is real, recent, strong selection on an existing gene. It adds one working letter at a time to a switch that already worked, and it did so at least five times. It is a modification that helped, not a new function and not a breakdown. It shows that single-letter regulatory improvements are within easy reach of human populations. It does not show how switches or genes are built.
Part 1: What the change is
The discovery
In 2002 Nabil Enattah, Irma Järvelä and colleagues in Finland traced the trait in nine extended families. Their abstract describes the ancestral state first: "Adult-type hypolactasia, also known as lactase non-persistence (lactose intolerance), is a common autosomal recessive condition resulting from the physiological decline in activity of the lactase-phlorizin hydrolase (LPH) in intestinal cells after weaning."3 They narrowed the region to 47,000 letters on chromosome 2, sequenced it, and found "a DNA variant, C/T-13910, roughly 14 kb upstream from the LCT locus, completely associates with biochemically verified lactase non-persistence in Finnish families and a sample set of 236 individuals from four different populations."3
The variant sits "in intron 13 of the neighbouring Minichromosome Maintenance 6 (MCM6) gene", so it is not in the lactase gene at all.4 It is a single letter in a region that does not code for protein.
Two points follow for the rest of the article. First, persistence is dominant: one copy is enough. Second, the switch-off is the normal mammalian pattern. Joachim Burger and colleagues open their 2007 paper with it: "Most mammals lose the ability to digest the milk sugar lactose after weaning because of an irreversible reduction in expression of the intestinal enzyme lactase".10 Non-persistence is not a defect. It is the ancestral state, and the creationist sources agree.11
What was measured in cells
Several laboratories tested the European variant in cells. The usual method is to cut out the stretch of DNA around position -13,910, join it to a lactase promoter driving a light-producing reporter gene, and put it into Caco-2 cells, a human intestinal cancer line. More light means more transcription.
- Lynne Olds and Eric Sibley, 2003. "A 200 bp region surrounding the C(13910) variant, associated with lactase non-persistence, results in a 2.2-fold increase in lactase promoter activity. The T(13910) variant, associated with lactase persistence, results in an even greater 2.8-fold increase."5 Their promoter came from the rat.
- Jesper Troelsen and colleagues, 2003. "The -13910 regions from both lactase persistent (-13910T variant) and lactase nonpersistent (-13910C variant) have enhancer activity. However, the -13910T variant enhances the LPH promoter approximately 4 times more than the -13910C variant when analyzed in differentiated Caco-2 cells."6
- Rikke Lewinsky and colleagues, 2005. A nuclear protein "binds more strongly to the T-13,910 variant associated with lactase persistence than the C-13,910 variant" linked to non-persistence. Supershift tests identified it: "Oct-1 binds directly to the T-13,910 variant". Oct-1 raised expression from both versions, and only when a second factor, HNF1-alpha, was present. Sites for four more intestinal factors lie in the same stretch, and three are needed for the enhancer to work.12
- Tine Jensen and colleagues, 2011, summarising: the variant "falls in an Oct-1 binding site and shows greater Oct-1 binding than the ancestral variant and increases enhancer activity."13
The sizes differ. Anke Liebert's group later put the effect at "about twofold".4 Viviane Labrie's group called it "modest (T-13910 variant shows a ~1.5-fold higher activity compared to ancestral variant)."7 What every study agrees on is the direction and the kind of change. The ancestral sequence is already an enhancer, and it already binds Oct-1. The persistence letter makes the binding stronger and the enhancer more active.
What is inferred for people
A reporter gene in a cancer cell line is not a person. Caco-2 cells make little lactase, and Liebert's group warns that such assays may underestimate the effect in the body.4 The cell work also cannot explain the timing. An enhancer that is always a little stronger does not by itself explain why one person's lactase falls sharply after childhood and another's does not.
Labrie and colleagues supplied the missing piece in 2016 by measuring DNA methylation, a chemical tag that silences DNA, in intestinal cells from 115 adults. In people with two ancestral copies, the region around -13,910 was 82.1% methylated. In people with two persistence copies it was 19.3%.7 In sperm all three genotypes were more than 94% methylated there, so the difference arises during life. Their reading:
"Our findings suggest that the lactase non-persistence haplotypes containing the C-13910 allele accumulate modified cytosines that silence the regulatory elements in MCM6 and LCT, while the lactase persistence haplotype containing the T-13910 allele displays age-related modification changes to maintain LCT activity."7
Liebert's group joined the two findings: "It seems likely that changes in transcription factor binding, might be responsible for preventing this methylation, and thus allowing continued adult expression of LCT in carriers of this, and the other functional variants."4 That link is an inference. Nobody has watched stronger Oct-1 binding hold off methylation in a living intestine.
So the measured facts are these. The variant is associated with the trait in people. It strengthens an existing enhancer in cells. The enhancer escapes age-related silencing in persistent adults. The causal chain between them is inferred, and it is a reasonable inference.
Part 2: At least five separate origins
The African variants
The European letter is almost absent in Africa, yet many African herders digest milk as adults. In 2007 Sarah Tishkoff and colleagues gave lactose tolerance tests to 470 people from 43 ethnic groups in Tanzania, Kenya and Sudan. They "identified three SNPs (G/C-14010, T/G-13915 and C/G-13907) that are associated with lactase persistence and that have derived alleles that significantly enhance transcription from the LCT promoter in vitro. These SNPs originated on different haplotype backgrounds from the European C/T-13910 SNP and from each other."1 A haplotype background is the set of neighbouring letters a variant sits among. Different backgrounds mean the same letter change did not travel from one population to another. It arose again.
The effect in cells was smaller than for the European variant. "The C-14010–, G-13915– and G-13907–derived haplotypes consistently drove higher expression (from ~18%-30%) than the haplotypes with the ancestral alleles."1 C-14010 is the common one. It is carried on 46% of chromosomes in the Afro-Asiatic speakers of Tanzania they sampled, 39% in the Nilo-Saharan speakers of Tanzania and 32% in those of Kenya.1
Their conclusion was hedged: "at least two, and probably four or more, distinct causal variants associated with lactase persistence (T-13910 in Europeans and C-14010, G-13907 and G-13915 in Africans) have evolved independently".1
Arabia, and a disagreement
Enattah's group found the Arabian form in 2008. In Saudis, persistence goes with G-13915 together with a second change 10,000 letters away, and "both SNPs of the compound allele, located 10 kb apart, are required for the enhancer effect" in their cell tests.14 The same paper disagreed with Tishkoff on one point: "The European T−13910 and the earlier identified East African G−13907 LP allele share the same ancestral background".14 That does not merge the two. They are different letters three positions apart, so they are two mutations whatever the background. It does weaken the claim that every origin is on a separate lineage.
The count now
By 2017 Liebert and colleagues wrote that persistence "is associated with at least five independent functional single nucleotide variants in a regulatory region about 14 kb upstream of the lactase gene [−13910T (rs4988235), −13907G (rs41525747), −13915G (rs41380347), −14009G (rs869051967) and −14010*C (rs145946881)]."8 Two more, -14011T and -13779C, have what the same authors call "more limited evidence of function".8 The five lie in one stretch of 104 letters.
| Variant (lactase strand) | Where it is common | Kind of change | What the cell tests show | Reported mechanism |
|---|---|---|---|---|
| −13910 C>T | Europe, western Asia | Transition, not at a CpG | Reporter up about 1.3 to 4 times | Stronger binding of Oct-1 to an existing site13 |
| −13907 C>G | Northeast Africa, Arabia | Transversion, not at a CpG | Reporter up 18 to 30% (whole haplotype) | Oct-1 binds the region15 |
| −13915 T>G | Arabia, Middle East | Transversion, not at a CpG | Reporter up; needs a second change in one study | Disputed: Oct-1 binding lost or kept; HNF1-alpha15 |
| −14009 T>G | East Africa | Transversion, not at a CpG | Reporter up 1.4 to 1.9 times | A new protein-DNA complex, probably an Ets factor4 |
| −14010 G>C | Tanzania, Kenya | Transversion at a CpG | Reporter up | Stronger binding of Oct-1 to an existing site13 |
The "kind of change" column was worked out for this article from the DNA sequence around each variant, because it decides which mutation rate applies in Part 6.16
Liebert's group summed up the three neighbouring East African variants in one line: "they have rather different effects on protein binding, which nevertheless leads to the same transcriptional outcome" as -14010C.4 Several different single letters, in one small stretch, each make the same switch stay on.
A caution about the haplotype evidence
The same group found that an older chromosome type, which carries none of the five variants, also shows the long unbroken stretches normally read as a sign of selection. Recombination is suppressed in that region, and "such suppression may have exaggerated haplotype-based measures of past selection."8 That bears on the selection coefficients in Part 3 that come from haplotype length. It does not touch the ancient DNA.
Part 3: How strong, and how fast
The selection coefficients
A selection coefficient, s, is the fitness edge of one genotype over another, per generation. The numbers below are not comparable as printed. Some measure the penalty on people with no persistence copy, some the gain per copy, some the gain only among dairy farmers. They also rest on different assumed dates and population sizes. They are listed with their methods and are not averaged.
| Study | Population | Method | s | What s means |
|---|---|---|---|---|
| Bersaglieri 2004 | European-Americans | Haplotype age, then a fitted trajectory | 0.014 to 0.15 | Penalty on non-persisters17 |
| Bersaglieri 2004 | Scandinavians | Same | 0.09 to 0.19 | Same17 |
| Tishkoff 2007 | Europeans | Coalescent simulation, effective size 10,000 | 0.039 dominant, 0.069 additive | Per genotype, two models1 |
| Tishkoff 2007 | East Africans, C-14010 | Same | 0.035 to 0.097 | Same1 |
| Enattah 2008 | Saudis, G-13915 | Allele age | 0.0507 (0.0337 to 0.1007) | Carrier advantage14 |
| Itan 2009 | Europe | Spatial simulation fitted to farming arrival dates | 0.0953 (0.0518 to 0.159) | Only among dairy farmers18 |
| Burger 2020 | Northern Germany to modern Europeans | Allele counts in skeletons, 130 generations | About 0.06 | Additive, and about the same if dominant9 |
| Mathieson and Terhorst 2022 | Britain | Time series of ancient genomes, s allowed to vary | 0.064 mean; about 0.08 at peak, 0.02 recently | Gain per copy19 |
| Evershed 2022 | Europe | 1,786 ancient genomes, several models | 0.022 if constant; up to 0.147 under a famine model | Additive, per 28-year generation20 |
The site's population genetics article explains why the convention matters. Bersaglieri's model, "w11 = w12 = 1 and w22 = 1 − s", puts the whole number on the people who lack the allele.17 Read as a bonus to carriers, the top of the range would be about a quarter higher.
Iain Mathieson and Jonathan Terhorst showed why single numbers disagree. When s is allowed to change, "selection for the persistence allele was strongest (s ≈ 0.08) from 150 to 100 generations before the present (roughly 4500–3000 BP) before decreasing to around 0.02 in the past 50 generations. This large change in strength of selection might explain the wide range of estimates from models that assume a constant value".19 A constant s over several thousand years is an average of something that changed.
Mathieson and Terhorst also set the floor. With ancient data their method can detect selection coefficients "around 0.02" and "cannot reliably distinguish smaller selection coefficients from zero."19 Most published values for lactase sit well above that floor. The lowest, Bersaglieri's 0.014 and Evershed's constant 0.022, sit at it. The haplotype values also carry the extra doubt raised in Part 2.
When the allele rose
Ancient DNA has turned the timing from inference into something close to a count.
- Early farmers lacked it. Nine Neolithic and Mesolithic skeletons from Germany, Hungary, Lithuania and Poland all carried two ancestral copies. Burger and colleagues concluded that persistence "was rare in early European farmers."10 Nine skeletons can show rarity. They cannot show absence.
- The first carriers. Laure Ségurel's group found the European allele first "in Ukraine 5,960 before present (BP)," about 4000 BC.21 Richard Evershed's group, with a larger set, put the earliest carrier at "c.4,700-4,600 BCE".20 These are first detections, not the date of the mutation.
- Still rare in the Bronze Age. At the Tollense valley battlefield in northern Germany, about 3,200 years ago, 14 warriors gave a frequency of 7.1%. At Mokrin in Serbia, 4,100 to 3,700 years ago, 4.6%.9 Iain Mathieson's 2015 study found "an appreciable frequency of lactase persistence in Europe only dates to the last four thousand years."22
- The rise. "Within 3,000 years, sample counts for these alleles increased from 2/26 to 144/192" for the persistence allele.9 That is from 8% to 75%. Ségurel's group found the same break: "After 3,000 BP, the mutation strongly increased in frequency in Europe, but not in Asia."21
Only the European allele has been followed through ancient DNA. The African dates, about 3,000 to 7,000 years, are model output from haplotype length alone.1
What drove it is disputed
The textbook story is that dairy farmers who could digest fresh milk out-bred those who could not. Two recent studies undercut it.
Evershed's group mapped milk use from about 7,000 fat residues in prehistoric pottery. "European milk use was widespread from the Neolithic period onwards but varied spatially and temporally in intensity. Surprisingly, comparison of model likelihoods indicates that LP selection varying with levels of prehistoric milk exploitation provides no better explanation of LP allele frequency trajectories than uniform selection since the Neolithic."20 Among about half a million people in the UK Biobank, "around 92% (95% CI 91.5% - 92.2%) of genetically LNP participants consume fresh cows’ milk".20 They proposed that non-persistent people drank milk anyway, and that it hurt them only in famine and epidemic.20
Ségurel's group looked at Central Asia. Mongol herders get 35% of their summer calories from dairy, yet only 12% to 30% of Mongol and Kazakh herders are persistent, and in ancient Central Asian samples the allele stayed near 5% from the Iron Age on.21 Had it been selected at 4% from 3,000 years ago, starting at 5%, "the mutation should have reached a frequency of 51% (meaning a phenotypic prevalence of LP of 76%) in modern populations."21 They asked plainly: "why has LP been selected for at all?"21
This dispute is about the cause. Nobody in it doubts that the allele rose fast. For a young-earth reader the dispute changes nothing about the timeline: every side puts the selection inside the last several thousand years.
Part 4: Was it watched?
The Observed Evolution series admits a case only if something was actually watched happening. Lactase persistence was not watched. Nobody followed a population and counted who digested milk, generation by generation. But the evidence comes in three layers, and they differ in how much they depend on assumptions.
| Layer | Examples | What it depends on |
|---|---|---|
| Counted | The letter at -13,910 read from each ancient skeleton; 2 of 26 chromosomes at Tollense; 144 of 192 in modern Europeans | DNA sequencing and contamination control |
| Dated | 3,200 years for Tollense; 4700 to 4600 BC for the first carrier; 130 generations between Tollense and today | Radiocarbon dates on bone and archaeological context; an assumed 25 or 28 years per generation |
| Modelled | Every selection coefficient; the African ages; the Neolithic start date of selection | Population size, start frequency, dominance, recombination, and the dates above |
The counted layer is as close to observation as human evolution gets. The frequency of a single letter went from rare to common in a time series of real people. Burger's generation count is an assumption stated in the paper: "We assumed that 130 generations have passed between the Tollense battle and the modern CEU reference population, implying a generation time of roughly 25 years."9
The modelled layer is where the dates of haplotype studies come from, and those numbers are soft. Tishkoff's interval for the East African age runs from 1,200 to 23,200 years.1 Enattah's discovery paper judged from its spread across populations that the European variant was "very old."3 Ancient DNA later showed it was not common until the Bronze Age.
To make the case observed, someone would have had to type the variant in a living population over enough generations to see the frequency move, with the fitness of each genotype recorded. The ancient-DNA series is the substitute, and it is a good one.
What a young-earth timeline does with these dates
On the Masoretic text the Flood falls about 2500 to 2350 BC, and on the Septuagint about 3300 BC, as the site's Old Testament text and chronology article works out. Creation Ministries International places it "around 4,500 years ago".11
Most of the European rise needs no reinterpretation. Tollense, about 1250 BC, falls centuries after the Flood on either chronology, and the rise from 8% to 75% happened after it. Mathieson's Bell Beaker carrier, about 2300 to 2200 BC, sits near the Masoretic Flood date.22 This part of the record fits a short chronology as well as a long one. A recent, fast, human-driven sweep is what a young-earth model expects, and it is the kind of adaptation Creation Ministries International already accepts.
The earliest carriers do not fit as dated. Evershed's 4700 to 4600 BC and Ségurel's 5,960 BP are older than the Flood on both chronologies, and Evershed's date is older than the Masoretic creation. A young-earth reading must hold that radiocarbon ages of about 6,000 to 7,000 years are too old by one to three thousand years. The usual proposal is that the atmosphere held less carbon-14 in the centuries after the Flood. The site's radiocarbon article weighs that model and reports the problem it has not answered: tree-ring calibration runs continuously past 10,000 BC. So the timing of the rise suits a short chronology. The timing of the first carriers does not, unless those radiocarbon dates are wrong by a large and specific amount.
Part 5: How to score it
The definitions
This series scores with Michael Behe's 2010 definitions, as Measuring Biological Information explains. His unit is the functional coded element, or FCT: "a discrete but not necessarily contiguous region of a gene that, by means of its nucleotide sequence, influences the production, processing, or biological activity of a particular nucleic acid or protein, or its specific binding to another molecule. Examples of FCTs are: promoters; enhancers; insulators;"2 An enhancer is on his list.
A gain "produces a specific, new, functional coded element", and his first example is a new promoter built by mutation.2 A loss removes the function of "a specific, pre-existing, coded element," and his examples include the loss of the ability "of an altered promoter to bind a transcription factor".2 Modification is everything else, and it "includes point mutations as well as other mutations that have a quantitative effect on a preexisting FCT, increasing or decreasing its strength".2
Behe scored this case in advance
Behe does not mention lactase persistence in the 2010 paper, in The Edge of Evolution or in Darwin Devolves. Every mention of lactose in them concerns bacteria.23 But on page 426 of the 2010 paper he worked through the ways a gene could come to be expressed more, and he scored each:
"1) a repressor element of the compensating gene could be deleted, rendering the gene constitutive, which would be a loss-of-FCT mutation; 2) an existing promoter of the compensating gene could have its sequence altered, binding a transcription factor more strongly and thus leading to overexpression, which would be classed as a modification-of-function mutation, as an existing FCT was altered, not gained or lost; 3) a new promoter could be constructed by mutation to increase the transcription rate of the gene, which would be a gain-of-FCT mutation"2
His case 2 is the European variant, with "enhancer" in place of "promoter". The ancestral sequence is already an enhancer that binds Oct-1. The persistence letter makes it bind "more strongly", and expression rises. By Behe's own rule that is a modification.
The score, variant by variant
The four questions of the series' procedure give the same answer, and they separate the variants that differ.
- Transfer? No. Each variant arose in the populations that carry it. None came from another species.
- Loss? Only if a working element stopped working. The popular description says a shut-off switch broke. No study read found a repressor site destroyed. The ancestral enhancer still binds its factors and still works in cells. The shut-off in adults is DNA methylation spreading over the region with age, and the persistence version resists it.7 Something that normally happens to the enhancer stops happening, but no coded element was lost. One variant is unsettled: early reports said -13915G abolished Oct-1 binding, and a 2011 study found it binds.15
- Gain? Only if a binding site or control relationship now works that did not exist. For -13910T and -14010C the Oct-1 site already existed and now binds more strongly. For -14009G the answer may be yes. Its probe formed "a prominent additional DNA–protein complex", most likely with a factor of the Ets family, which the ancestral probe did not form.4 That is a new binding site by Behe's definition, if it is confirmed in intestinal tissue.
- Modification. -13910T and -14010C are modifications, marked up. -13907G, whose mechanism is least studied, goes here provisionally.
| Variant | Class | Behe's score | New nucleotides | Watched? |
|---|---|---|---|---|
| −13910T (Europe) | Modification, up | Not scored by Behe; his p. 426 rule gives modification | 1 | Frequency rise counted in dated skeletons; origin and selection inferred |
| −14010C (East Africa) | Modification, up | Same | 1 | Inferred |
| −13907G (Northeast Africa) | Modification, up, provisional | Same | 1 | Inferred |
| −13915G (Arabia) | Unsettled: modification up, or loss of one binding with a rise in expression | Same | 1 | Inferred |
| −14009G (East Africa) | Gain, candidate: a new protein-binding complex in cells | Gain by his definition, if confirmed | 1 | Inferred |
"New nucleotides" follows the conversion rule in the sibling article: a modification up counts the substitutions it needed, here one each.
This agrees with the score already printed in Measuring Biological Information, which put the lactase variants under "modification, up, hard case" and left the mechanism open. The functional papers and Behe's page 426 settle it for the main variants. Two refinements should carry back to that table: the count is at least five, not four, and -14009G should be scored apart from the others.
What the class does not say matters as much. The adult can now digest milk, which is a new ability for the person. In the molecule, one existing switch was turned up. No protein changed, no gene was built, and no new control relationship was wired in, except possibly at -14009.
Part 6: The ledger
The inputs
The human mutation rate has been measured directly, by sequencing parents and children. Augustine Kong and colleagues sequenced 78 Icelandic families and found an average of 1.20 × 10⁻⁸ new mutations per nucleotide per generation.24 Their Table 2 splits the rate by kind of change. A transition at a site that is not a CpG occurs at 6.18 × 10⁻⁹ per base per generation. A transversion at a non-CpG site occurs at 3.76 × 10⁻⁹, shared between two possible transversions. A transversion at a CpG occurs at 9.59 × 10⁻⁹, also shared between two.24
So the rate of each specific persistence letter is:
- −13910 C>T, a transition not at a CpG: 6.18 × 10⁻⁹ per generation.
- −13907 C>G, −13915 T>G and −14009 T>G, each one of two possible transversions at a non-CpG site: 1.88 × 10⁻⁹.
- −14010 G>C, one of two possible transversions at a CpG: 4.80 × 10⁻⁹.25
These are averages over every site of each kind, and the rate at a particular site can differ with its neighbours.
A new mutation also has to survive. Most new copies of even a helpful allele are lost by chance while they are rare. J. B. S. Haldane showed in 1927 that a new allele whose single copy gives an advantage s survives with probability about 2s.26 Persistence is dominant, so the single copy gets the full advantage. For scale this article uses s = 0.05, inside every range in Part 3, which gives a survival chance of about one in ten.
Waiting times
Each person passes on two copies of the region, so a population of N people makes 2N × rate new copies of a given letter each generation. The table gives the waiting time for one new copy, and for one that survives drift.27
| People in the population | −13910T: generations per new copy | −13910T: per surviving copy | Transversion variants: per new copy | Transversion variants: per surviving copy |
|---|---|---|---|---|
| 10,000 | 8,090 | 80,900 | 26,600 | 266,000 |
| 1,000,000 | 81 | 809 | 266 | 2,660 |
| 8,000,000 | 10 | 101 | 33 | 332 |
| 10,000,000 | 8 | 81 | 27 | 266 |
The population sizes are inputs chosen for scale. No source read measures the number of people in prehistoric Europe or East Africa. The 8,000,000 row is the final population Burger's group used in its simulations, "approximately one tenth of the Census population of Germany".9 The 10,000 row is the effective population size Tishkoff's simulations assumed.1 An effective size is not a head count. It is the size of an ideal population that would drift at the same rate, and for humans it is much smaller than the census.
What the numbers say about the European variant
From the earliest detected carrier to today is about 6,650 years, or 238 generations at Evershed's 28 years each.28 Hold a population constant for 240 generations and count how often the -13910 letter would arise:
- 10,000 people: 0.03 times, with 0.003 surviving.
- 100,000 people: 0.3 times, with 0.03 surviving.
- 1,000,000 people: 3 times, with 0.3 surviving.
So in a population the size of the models' effective size, the European variant would probably never have arisen in the farming era. In a population of a million or more it arises a few times and has a fair chance of taking hold. Either the mutation arose in a large census population, or it arose earlier and waited at low frequency until selection began. Evershed's group notes that "the dates of origin, the start of selection, the earliest observation and the reaching of appreciable frequencies of this allele are all distinct ‘events’, each possibly separated by thousands of years."20 The ledger cannot choose between these.
What the five origins imply
The five established variants sit in a stretch of 104 letters. That stretch allows 312 different single-letter changes, and at least 5 of them raise expression enough to be selected. At least one change in 63 in this stretch helps.29 It is a lower bound, because a helpful change that never happened to arise, or arose and was lost, leaves no trace.
A target that large, hit at the rates above, in populations of millions, will be hit repeatedly within a few thousand years. The repetition is what the arithmetic predicts. This is the strongest point on the mainstream side, and it should be granted plainly: a one-letter improvement to an existing switch is easy for human populations to find.
It does not follow that everything is easy to find. Each lactase variant helps on its own, from the first copy. Where a gain needs two specific letters and neither helps alone, both must arrive before selection can act. The chance that one child receives both specific changes at once is the product of the two rates. For the -13910 transition paired with one specific transversion, a population of 10 million would wait about 4 billion generations.30 That figure is a floor on the difficulty's scale, not a model of any real case, because a harmless first letter can drift through the population and shorten the wait by many orders of magnitude. The site's Haldane's Dilemma article takes up those longer paths. The only lactase allele that may have needed two changes is the Arabian one, and its paper does not say which letter came first.14
Unique functional sequence per person-generation
The series ends each ledger on unique functional sequence created per organism-generation. The numerator here is one modified nucleotide per variant. The denominator is the number of people who lived in the populations concerned while the variants arose and spread. No source read measures it, so the cell is left empty rather than filled with a guess.
Part 7: What each side says
Creationist sources
Creation Ministries International gives the fullest creationist treatment, by David Catchpoole in 2009. It gets the ancestral state right: "the gene for lactase normally switches off as children are weaned. And a genetic mutation that results in lactase production not being switched off accounts for the ability of certain people to drink milk into adulthood."11 It accepts that the change helps. Then it scores it: "these genetic changes are not “evolution” in the uphill molecules-to-milkman sense, as the changes are downhill, i.e., information has been lost (viz., the normal switching-off mechanism of lactase production following weaning)."11 The footnote to that sentence cites a general essay by Carl Wieland, not a study of the enhancer.
Answers in Genesis, in an unsigned 2006 news item headed "Milk-Digestion Gene Disabled, Evolution Proved?", said the mutations "merely cause a malfunction in the automatic shutdown of lactose digestion in children."31 Jean Lightner, writing for the same ministry in 2009, took a different line: "Originally humans were designed to produce lactase, the enzyme necessary to digest milk, only during early childhood. This excellent design prevents wasteful production of the enzyme during adulthood. However, the lactase gene was designed to allow for change."32
Robert Carter has not written on lactase in any source found, but he has rejected the blanket claim the others rely on: "The phrase, “Mutations cannot create new information” is almost a mantra among some creationists, yet I do not agree."33 No page on lactase persistence by the Institute for Creation Research or by Nathaniel Jeanson was found.34
Weighed against the molecular papers, the creationist sources are right on three points. Non-persistence is the normal state. No new gene or protein was made. The change is recent. They are wrong on the mechanism. No gene was disabled, and no study read shows a shut-off element destroyed. An existing enhancer was made to bind its activator more strongly, and in one East African variant a new binding complex may have appeared. By Behe's rules that is a modification, and possibly a small gain. It is not a loss. Lightner's "designed to allow for change" is compatible with the data, but as stated it predicts nothing a test could check.
Mainstream sources
The mainstream papers say what the data show. Todd Bersaglieri's group found "the signals of selection we observe are among the strongest yet seen for any gene in the genome."17 Evershed's group calls persistence "the most strongly selected monogenic trait to have evolved over the last 10,000 years."20 Tishkoff's group drew the lesson about regulation: multiple independent variants "have been strongly adaptive in adult milk-consuming populations, emphasizing the importance of regulatory mutations in recent human evolution."1
None of these papers claims the case shows how genes or switches are built. Some mainstream authors question their own field's numbers. Liebert and colleagues call the published coefficients "extraordinarily high in view of the fact that the cultural adaptation of fermentation of milk products, which reduces the lactose concentration, allows milk to be used as a source of calories in the diet of lactase non-persistent people".8
Objections and responses
"It is just a broken switch. Evolution only breaks things." The molecular data say otherwise. Both versions of the enhancer work, and the persistence versions bind their activator more strongly.6 13 Behe's own rule scores that as a modification. Calling it a loss misstates the evidence and hands a critic an easy correction.
"Adults can now digest milk. That is a new function." For the person, yes. For the molecule, an existing gene stays on longer, and the series scores the molecule, as Behe does.2
"Five independent origins prove that evolution can find anything." They prove that it can find one-letter improvements to a switch that already works, when each letter helps at once. Part 6 shows why that is easy. They say nothing about changes that need several letters before any help.
"The dates are radiocarbon, so the whole timeline is worthless." The counts do not depend on the dates: the allele went from rare in Bronze Age skeletons to 75% today. The rise after about 1250 BC fits a short chronology as well as a long one. Only the earliest carriers, before about 2500 BC, need their radiocarbon ages compressed.
"The selection coefficients are just model output." They are, and the article treats them so. But a rise from 2 of 26 chromosomes to 144 of 192 in about 130 generations, in populations of millions, is far too fast for chance. Both of Burger's methods flagged the persistence allele as under "strong positive selection".9 The size of s is uncertain. Its existence is not.
"The mutations were directed, not random." Nothing in the data points that way. Each variant is an ordinary transition or transversion, at a rate consistent with the genome-wide rate, in a stretch where several different letters work. That cannot rule out design. It gives design no evidential support either.
"The cell effects are tiny, 1.2 to 1.5-fold." In cell lines, yes. In adult intestines the methylation difference is 82% against 19% at the variant's own region.7 The cell assays may understate the effect in the body, as their authors warn.4
Issues and unanswered questions
- The bodies of four functional papers were not read. Enattah 2002, Olds and Sibley 2003, Troelsen 2003, Lewinsky 2005 and Jensen 2011 are paywalled and not in PubMed Central. Their abstracts carry every claim used here. Lewinsky's body would say whether the ancestral C binds Oct-1 weakly or not at all.
- Two mechanisms are unsettled. Whether -13915G loses or keeps Oct-1 binding is disputed. The new complex at -14009G has not been confirmed in intestinal tissue, and its factor is only probably an Ets protein.
- The Arabian allele needed two changes in one laboratory's tests. No replication was found.
- The origin of the European mutation is not dated. First detection is about 4700 BC. Whether it arose then or waited earlier at low frequency is open, and the ledger cannot decide it.
- The ledger's denominator needs census estimates for prehistoric Europe and East Africa, which no source read supplies.
- A test for the design-for-change claim. Mutate every letter of the 104-letter stretch in turn and measure expression in intestinal cells. If many of the 312 single changes raise expression, the five natural variants are what chance predicts. If only the natural five do, the stretch looks poised, and Lightner's claim gains content.
- The earliest carriers' radiocarbon dates sit before the Flood on both chronologies. No creationist source has addressed these dates specifically.
Verdict
Lactase persistence is the clearest case of recent strong selection in humans, and ancient DNA has counted most of its rise. It is also a small change. At least five times, one letter in one enhancer was changed so that an existing switch bound its activator more strongly and escaped silencing in adults. By Behe's 2010 rules the main variants are modifications of an existing element, with one candidate gain. They are not losses, and the creationist sources that call them losses should change that description.
The ledger favours the mainstream reading on one point and limits it on another. One-letter improvements with an immediate benefit are cheap in populations of millions, and the repeated origins show it. Nothing in the case measures what it costs to build a new switch or a new gene. The timing of the rise fits a short chronology. The first carriers do not, unless their radiocarbon dates are too old by one to three thousand years.
Sources
- 1.
Tishkoff, Sarah A. et al. “Convergent adaptation of human lactase persistence in Africa and Europe.” Nature Genetics 39(1):31–40. Jan 2007. University of Maryland. Read from the PubMed Central author manuscript in the library; locators are sections and Table 1. Mirror: PMC
- 1a.
Section Abstract: “We conducted a genotype-phenotype association study in 470 Tanzanians, Kenyans and Sudanese and identified three SNPs (G/C-14010, T/G-13915 and C/G-13907) that are associated with lactase persistence and that have derived alleles that significantly enhance transcription from the LCT promoter in vitro. These SNPs originated on different haplotype backgrounds from the European C/T-13910 SNP and from each other.” ↩
- 1b.
Section Results, functional analysis: “The C-14010–, G-13915– and G-13907–derived haplotypes consistently drove higher expression (from ~18%-30%) than the haplotypes with the ancestral alleles.” ↩
- 1c.
Section Results, allele frequencies: “The C-14010 allele is common in Nilo-Saharan populations from Tanzania (39%) and Kenya (32%) and in Afro-Asiatic populations from Tanzania (46%)”. ↩
- 1d.
Section Discussion, Convergent evolution of LP-associated variants: “These data suggest that at least two, and probably four or more, distinct causal variants associated with lactase persistence (T-13910 in Europeans and C-14010, G-13907 and G-13915 in Africans) have evolved independently in European and African populations owing to convergent evolution in response to a strong selective force, adult milk consumption.” ↩
- 1e.
Section Results, age and selection: “We estimated these values (Table 1) and found extremely recent (within the last ~3,000-7,000 years; confidence interval (c.i.) 1,200-23,200 years ago) and strong (s = 0.04-0.097, c.i. 0.01-0.15) positive selection in many African populations.” ↩ ↩ ↩
- 1f.
Table 1: “European 48 0.76 −3.86 <0.001 N/A 1.58 2.15 0.039(0.012-0.107) 9,323(2,231-19,228) 0.069(0.025-0.132) 7,998(3,466-18,191)”. “s: selection intensity (estimated from simulation), assuming an effective population size of 10,000.” The first s and age are the dominant model, the second the additive model, per the table's column heads. The European row is taken from the paper's reference 14. ↩ ↩
- 1g.
Section Discussion, last paragraph: “In conclusion, multiple independent variants have allowed various human populations to quickly modify LCT expression and have been strongly adaptive in adult milk-consuming populations, emphasizing the importance of regulatory mutations in recent human evolution”. ↩ ↩
- 1a.
- 2.
Behe, Michael J. “Experimental Evolution, Loss-of-Function Mutations, and "The First Rule of Adaptive Evolution".” The Quarterly Review of Biology 85(4):419–445. Dec 2010. Behe is a professor of biological sciences at Lehigh University and a senior fellow of the Discovery Institute. Read from the library PDF; PDF page N is printed page 418 + N, anchored on the folios of PDF pages 2 (420) and 8 (426). ↩
- 2a.
Page 420: “An FCT is a discrete but not necessarily contiguous region of a gene that, by means of its nucleotide sequence, influences the production, processing, or biological activity of a particular nucleic acid or protein, or its specific binding to another molecule. Examples of FCTs are: promoters; enhancers; insulators;”. ↩
- 2b.
Page 421: “A “gain-of-FCT” adaptive mutation is a mutation that produces a specific, new, functional coded element while adapting an organism to its environment. The construction by mutation of a new promoter, intron/exon splice site, or protein processing site are gain-of-FCT mutations.” ↩
- 2c.
Page 421: “A “loss-of-FCT” adaptive mutation is a mutation that leads to the effective loss of the function of a specific, pre-existing, coded element, while adapting an organism to its environment. The loss of the ability of a frame-shifted gene to produce a functional product, of an altered promoter to bind a transcription factor, or of a mutated protein to bind its former ligand, are examples of loss-of-FCT mutations.” ↩
- 2d.
Page 421: “A “modification-of-function” adaptive mutation is a mutation whose defining property is negative—while adapting an organism to an environment, it does not lead to the loss or gain of a specific FCT. … It includes point mutations as well as other mutations that have a quantitative effect on a preexisting FCT, increasing or decreasing its strength, for instance, or shifting its activity somewhat”. ↩ ↩
- 2e.
Page 426: “1) a repressor element of the compensating gene could be deleted, rendering the gene constitutive, which would be a loss-of-FCT mutation; 2) an existing promoter of the compensating gene could have its sequence altered, binding a transcription factor more strongly and thus leading to overexpression, which would be classed as a modification-of-function mutation, as an existing FCT was altered, not gained or lost; 3) a new promoter could be constructed by mutation to increase the transcription rate of the gene, which would be a gain-of-FCT mutation”. Behe is discussing how a gene lost in the wild could be compensated by over-expressing another, after Patrick et al. 2007. ↩ ↩ ↩
- 2a.
- 3.
Enattah, Nabil Sabri et al. “Identification of a variant associated with adult-type hypolactasia.” Nature Genetics 30(2):233–237. 2002. The discovery paper. Paywalled and not in PubMed Central; the abstract was read from the 2011 Wayback copy of the publisher page. The body was not read. Mirror: Archive.org
- 3a.
Section Abstract: “Adult-type hypolactasia, also known as lactase non-persistence (lactose intolerance), is a common autosomal recessive condition resulting from the physiological decline in activity of the lactase-phlorizin hydrolase (LPH) in intestinal cells after weaning.” ↩
- 3b.
Section Abstract: “Sequence analysis of the complete region and subsequent association analyses revealed that a DNA variant, C/T-13910, roughly 14 kb upstream from the LCT locus, completely associates with biochemically verified lactase non-persistence in Finnish families and a sample set of 236 individuals from four different populations.” ↩ ↩
- 3c.
Section Abstract, last sentence: “That the variant (C/T-13910) occurs in distantly related populations indicates that it is very old.” ↩
- 3a.
- 4.
Liebert, Anke et al. “In Vitro Functional Analyses of Infrequent Nucleotide Variants in the Lactase Enhancer Reveal Different Molecular Routes to Increased Lactase Promoter Activity and Lactase Persistence.” Annals of Human Genetics 80(6):307–318. Nov 2016. University College London and Roskilde University. CC BY 4.0. Read from the Europe PMC full-text XML; locators are sections. Mirror: PMC
- 4a.
Section Introduction, paragraph 2: “A single nucleotide substitution, ‐13910*T (rs4988235), about 14 kb upstream of the LCT transcriptional start site, in intron 13 of the neighbouring Minichromosome Maintenance 6 (MCM6) gene was the first causal variant to be identified”. ↩ ↩
- 4b.
Section Introduction, paragraph 2: “compared to the ancestral variant, the presence of ‐13910*T results in about twofold increased enhancer activation of the LCT promoter in human intestinal–derived Caco‐2 cells, as well as altered transcription factor binding”. ↩
- 4c.
Section Discussion: “The techniques used in this study provide suggestive evidence of functional significance but may, of course, underestimate effects in vivo since the Caco‐2 cell line expresses only low levels of lactase”. ↩ ↩
- 4d.
Section Discussion, penultimate paragraph: “The recent work of Labrie et al. shows that the enhancer region associated with ‐13910*T escapes age‐related DNA methylation (Labrie et al., 2016). It seems likely that changes in transcription factor binding, might be responsible for preventing this methylation, and thus allowing continued adult expression of LCT in carriers of this, and the other functional variants.” ↩
- 4e.
Section Discussion, paragraph 3: “Our experiments on the three neighbouring variants show that they have rather different effects on protein binding, which nevertheless leads to the same transcriptional outcome as the derived variant ‐14010*C reported earlier.” ↩
- 4f.
Section Results, gel shifts: “The ‐14009G probe showed a pattern that differed more dramatically from the three other probes tested at that locus, in that a prominent additional DNA–protein complex was formed (Complex 2 in Fig. 2), which was not affected by the Oct‐1 and HNF‐1α competitors or antibodies.” Section Discussion, paragraph 3: “The bioinformatic analysis followed by the use of target‐designed competitors shows very good evidence that this is a member of the Ets family, possibly c‐Ets‐1, even though it has not yet been possible to confirm this in supershift experiments using currently available antibodies.” ↩ ↩
- 4a.
- 5.
Olds, Lynne C., and Eric Sibley. “Lactase persistence DNA variant enhances lactase promoter activity in vitro: functional role as a cis regulatory element.” Human Molecular Genetics 12(18):2333–2340. 2003. Stanford University School of Medicine. Paywalled; the PubMed abstract (PMID 12915462) was read through NCBI E-utilities. The body was not read.
- 5a.
Section Abstract: “A 200 bp region surrounding the C(13910) variant, associated with lactase non-persistence, results in a 2.2-fold increase in lactase promoter activity. The T(13910) variant, associated with lactase persistence, results in an even greater 2.8-fold increase.” The DNA was cloned upstream of the 3.0 kb rat lactase promoter and tested in human Caco-2 cells. ↩ ↩
- 5a.
- 6.
Troelsen, Jesper T. et al. “An upstream polymorphism associated with lactase persistence has increased enhancer activity.” Gastroenterology 125(6):1686–1694. Dec 2003. University of Copenhagen. The PubMed abstract (PMID 14724821) was read through NCBI E-utilities; the publisher PDF returned a challenge page.
- 6a.
Section Abstract, Results: “We show that the -13910 region contains a strong enhancer. The -13910 regions from both lactase persistent (-13910T variant) and lactase nonpersistent (-13910C variant) have enhancer activity. However, the -13910T variant enhances the LPH promoter approximately 4 times more than the -13910C variant when analyzed in differentiated Caco-2 cells.” ↩ ↩ ↩
- 6a.
- 7.
Labrie, Viviane et al. “Lactase nonpersistence is directed by DNA-variation-dependent epigenetic aging.” Nature Structural and Molecular Biology 23(6):566–573. Jun 2016. Senior author Arturas Petronis, Centre for Addiction and Mental Health, Toronto. Read from the PubMed Central author manuscript; locators are sections. Mirror: PMC
- 7a.
Section Introduction, paragraph 2: “the reported differences between allelic variants are modest (T-13910 variant shows a ~1.5-fold higher activity compared to ancestral variant)”. ↩
- 7b.
Section Results, genotype-stratified analysis: “We observed that CC carriers (lactase non-persistent) displayed major DNA modification differences in comparison to TT carriers (lactase persistent) in the MCM6 locus, particularly at the MCM6 intron 13–exon 13 (82.1±2.6% vs. 19.3±4.1%; p < 10⁻¹⁷) where the SNP C/T-13910 resides”. “our investigation of sperm samples (n = 18 individuals) revealed no DNA modification differences between CC, CT and TT genotypes at this region (>94% modified in all genotypes; data not shown)”. The exponent is a superscript in the source; the HTML text layer flattens it to "10−17". The 115 adults were 21 to 72 years old. ↩ ↩ ↩
- 7c.
Section Discussion, paragraph 1: “Our findings suggest that the lactase non-persistence haplotypes containing the C-13910 allele accumulate modified cytosines that silence the regulatory elements in MCM6 and LCT, while the lactase persistence haplotype containing the T-13910 allele displays age-related modification changes to maintain LCT activity.” ↩
- 7d.
Section Results, end of the age-related analysis: “Overall, our findings suggest that lactase non-persistence may be mediated by an age-related increase in DNA modifications at regulatory elements in MCM6 and LCT, while such elements are protected from epigenetic inactivation in lactase persistent individuals.” ↩
- 7a.
- 8.
Liebert, Anke et al. “World-wide distributions of lactase persistence alleles and the complex effects of recombination and selection.” Human Genetics 136(11–12):1445–1453. 2017. Senior author Dallas Swallow, University College London. CC BY. Read from the Europe PMC full-text XML; locators are sections. Mirror: PMC
- 8a.
Section Abstract: “The genetic trait of lactase persistence (LP) is associated with at least five independent functional single nucleotide variants in a regulatory region about 14 kb upstream of the lactase gene [−13910T (rs4988235), −13907G (rs41525747), −13915G (rs41380347), −14009G (rs869051967) and −14010*C (rs145946881)].” ↩ ↩
- 8b.
Section Results: “The new data in Table 1 includes three of the five established functional variants (−13910T, rs4988235; −13907G, rs41525747 and −13915G, rs41380347), as well as −14011T, (rs4988233) and −13779*C (rs527991977) for which there is more limited evidence of function (Liebert et al. 2016).” ↩ ↩
- 8c.
Section Abstract: “The region of EHH of this (B) haplotype exactly coincides with a region of suppressed recombination that is detectable in families as well as in population data, and the results show how such suppression may have exaggerated haplotype-based measures of past selection.” ↩
- 8d.
Section Introduction: “Estimation of the age of expansion of the European allele using population genetic and modelling approaches places it during the Neolithic period and suggests selection coefficients ranging from 0.8 to 19% (Bersaglieri et al. 2004; Gerbault et al. 2009; Itan et al. 2009). Such coefficients are extraordinarily high in view of the fact that the cultural adaptation of fermentation of milk products, which reduces the lactose concentration, allows milk to be used as a source of calories in the diet of lactase non-persistent people, circumventing its adverse effects (Segurel and Bon 2017).” ↩
- 8a.
- 9.
Burger, Joachim et al. “Low Prevalence of Lactase Persistence in Bronze Age Europe Indicates Ongoing Strong Selection over the Last 3,000 Years.” Current Biology 30(21):4307–4315. Nov 2, 2020. Johannes Gutenberg University, Mainz. Read from the in-press version on Zenodo, CC BY 4.0, whose pages run 1 to 9 and e1 to e13; the locators use that numbering, anchored on the page footers. Mirror: Zenodo
- 9a.
Page 3: “We estimated low frequencies for both Tollense (7.1%; n = 14) and Mokrin (4.6%; n = 18) samples”. ↩
- 9b.
Page 1: “We estimate a selection coefficient of 0.06 and conclude that the selection was ongoing in various parts of Europe over the last 3,000 years.” Page 4: “Within 3,000 years, sample counts for these alleles increased from 2/26 to 144/192 and 2/28 to 134/190, respectively. ApproxWF estimates a selection coefficient of around 5% for rs7570971-C and 6% for rs4988235-A, also when assuming dominance (h = 1; Figures 3B and 3C).” The first count in each pair is the Tollense sample, the second the modern CEU sample; rs4988235-A is the persistence allele. ↩ ↩ ↩
- 9c.
Page 4: “Both methods identify two alleles influenced by strong positive selection: the LP causing allele rs4988235-A and rs7570971-C”. ↩
- 9d.
Page e10: “We assumed that 130 generations have passed between the Tollense battle and the modern CEU reference population, implying a generation time of roughly 25 years.” ↩
- 9e.
Page e10: “The final population size was set to 8 ∙ 10⁶, which corresponds to approximately one tenth of the Census population of Germany”. The exponent is a superscript in print; the PDF text layer flattens it to "106". ↩
- 9a.
- 10.
Burger, J. et al. “Absence of the lactase-persistence-associated allele in early Neolithic Europeans.” Proceedings of the National Academy of Sciences 104(10):3736–3741. Mar 6, 2007. Johannes Gutenberg University, Mainz. Read from PubMed Central; locators are sections. Samples from eastern Germany, Hungary, northeastern Poland and northeastern Lithuania, dated archaeologically or by radiocarbon (Table 1). Mirror: PMC
- 10a.
Section Introduction, first sentence: “Most mammals lose the ability to digest the milk sugar lactose after weaning because of an irreversible reduction in expression of the intestinal enzyme lactase (i.e. lactase phlorizin hydrolase).” ↩
- 10b.
Section Abstract: “We did not observe the allele most commonly associated with LP in Europeans, thus providing evidence for the culture-historical hypothesis, and indicating that LP was rare in early European farmers.” ↩
- 10a.
- 11.
Catchpoole, David. “Can’t drink milk? You’re “normal”!” Creation Ministries International. Feb 3, 2009 (edition of 2010). Retrieved Sep 27, 2026. First printed in Creation 32(1):12–15, January 2010; the web version was updated 2022-01-26. Author and date from the page metadata. Locators are paragraphs.
- 11a.
Paragraph 3: “Research has shown that the gene for lactase normally switches off as children are weaned. And a genetic mutation that results in lactase production not being switched off accounts for the ability of certain people to drink milk into adulthood.” ↩ ↩
- 11b.
Section Paragraph after the Hirschhorn quotation: “But note that these genetic changes are not “evolution” in the uphill molecules-to-milkman sense, as the changes are downhill, i.e., information has been lost (viz., the normal switching-off mechanism of lactase production following weaning).” The sentence carries the article's note 12, which cites Carl Wieland, "The evolution train's a-comin'", Creation 24(2):16–19, 2002. ↩
- 11c.
Section Time-frame paragraph: “From a biblical perspective, the mutation first arose after the Fall (there were no mutations in the “very good” world described by God in Genesis 1:31). There is no reference to milk-drinking before the Flood (i.e. around 4,500 years ago), but by the time of Abraham, people were certainly consuming dairy products (Genesis 18:8).” ↩
- 11a.
- 12.
Lewinsky, Rikke H. et al. “T-13910 DNA variant associated with lactase persistence interacts with Oct-1 and stimulates lactase promoter activity in vitro.” Human Molecular Genetics 14(24):3945–3953. Dec 15, 2005. The PubMed abstract (PMID 16301215) was read through NCBI E-utilities. Not in PubMed Central; the body was not read.
- 12a.
Section Abstract: “A nuclear factor binds more strongly to the T-13,910 variant associated with lactase persistence than the C-13,910 variant associated with lactase non-persistence. … Supershift analyses show that Oct-1 binds directly to the T-13,910 variant, and we suggest that GAPDH is co-purified due to interactions with Oct-1. Expression of Oct-1 stimulates reporter gene expression from the T and the C-13,910 variant/LPH promoter constructs only when it is co-expressed with HNF1alpha. Binding sites for other intestinal transcription factors (GATA-6, HNF4alpha, Fox and Cdx-2) were identified in the region of the -13,910 T/C polymorphism. Three of these sites are required for the enhancer activity of the -13,910 region.” ↩
- 12a.
- 13.
Jensen, Tine G. K. et al. “The -14010*C variant associated with lactase persistence is located between an Oct-1 and HNF1α binding site and increases lactase promoter activity.” Human Genetics 130(4):483–493. Oct 2011. The PubMed abstract (PMID 21327791) was read through NCBI E-utilities. The body was not read.
- 13a.
Section Abstract: “This variant falls in an Oct-1 binding site and shows greater Oct-1 binding than the ancestral variant and increases enhancer activity.” "This variant" is -13910*T, named in the preceding sentence. ↩ ↩ ↩
- 13b.
Section Abstract: “Binding sites for Oct-1 and HNF1α surrounding the -14010 position were identified by gel shift assays, which indicated that -14010C has greater binding affinity to Oct-1 than -14010G.” ↩
- 13a.
- 14.
Enattah, Nabil Sabri et al. “Independent Introduction of Two Lactase-Persistence Alleles into Human Populations Reflects Different History of Adaptation to Milk Culture.” American Journal of Human Genetics 82(1):57–72. Jan 2008. Read from PubMed Central; locators are sections. Mirror: PMC
- 14a.
Section Abstract: “Our functional analyses in vitro showed that both SNPs of the compound allele, located 10 kb apart, are required for the enhancer effect, most probably mediated through the binding of the hepatic nuclear factor 1 α (HNF1α).” ↩ ↩
- 14b.
Section Abstract: “The European T−13910 and the earlier identified East African G−13907 LP allele share the same ancestral background and most likely the same history, probably related to the same cattle domestication event.” ↩
- 14c.
Section Methods: “Then we estimated the coefficient of selection associated with carrying at least one copy of the LP allele G−13915 and allele T−13910 in Moroccans, Saharawi, and Arabs based on the age of the alleles in these populations.” Section Results: “lactase-persistence allele G−13915 to be 0.0507 (0.0337–0.1007) for the Saudi population (Table 5).” ↩
- 14a.
- 15.
Olds, Lynne C. et al. “-13915*G DNA polymorphism associated with lactase persistence in Africa interacts with Oct-1.” Human Genetics 129(1):111–113. 2011. Read from the PubMed Central author manuscript, which has no journal page numbers; locators are sections. Mirror: PMC
- 15a.
Section Final paragraph: “Such interaction is contrary to previous reports in which Oct-1 binding to the –13915*G SNP was not detected suggesting that the SNP mutation abolishes Oct-1 binding.” ↩ ↩
- 15b.
Section Final paragraph: “With the current report, Oct-1 has now been shown to interact with the sequence surrounding each of the currently identified SNPs located between –13907 and –13915. Oct-1 binding to the SNP region therefore remains a candidate interaction involved in lactase persistence.” ↩
- 15a.
- 16.
Worked out for this article from NCBI data. The GRCh38 positions of rs4988235 (−13910), rs41525747 (−13907), rs41380347 (−13915), rs869051967 (−14009) and rs145946881 (−14010) came from the NCBI Variation API, and the flanking sequence from NC_000002.12 through NCBI E-utilities. The lactase gene lies on the reverse strand, so the published alleles are the complements of the forward-strand letters. Forward-strand contexts, with the variant in capitals: gggGcta (G>A), ccaGggg (G>C), tacAtta (A>C), cttAcgt (A>C), ttaCgtc (C>G). A site is a CpG when a C is followed by a G on the same strand, which is true only for −14010. A C-to-T or G-to-A change is a transition; the others are transversions. ↩
- 17.
Bersaglieri, Todd et al. “Genetic signatures of strong recent positive selection at the lactase gene.” American Journal of Human Genetics 74(6):1111–1120. Jun 2004. Senior author Joel Hirschhorn, Harvard Medical School. Read from the library PDF; the folio is printed on every page.
- 17a.
Page 1111: “We estimate that strong selection occurred within the past 5,000–10,000 years, consistent with an advantage to lactase persistence in the setting of dairy farming; the signals of selection we observe are among the strongest yet seen for any gene in the genome.” ↩
- 17b.
Page 1114: “We assumed a dominant model for lactase persistence—that is, w11 = w12 = 1 and w22 = 1 − s.” Page 1115: “(corresponding to a new mutation in a population with an effective size between 500 and 5,000; larger population sizes yield even higher coefficients of selection)”. The PDF text layer renders "=" as "p"; the printed page reads as quoted. Generation time 25 years, p. 1115. ↩ ↩
- 17c.
Page 1117: “we estimate the coefficient of selection associated with carrying at least one copy of the lactase-persistence allele to be between 0.014 and 0.15 for the CEPH population and between 0.09 and 0.19 for the Scandinavian population”. ↩
- 17a.
- 18.
Itan, Yuval et al. “The Origins of Lactase Persistence in Europe.” PLoS Computational Biology 5(8):e1000491. Aug 2009. CC BY. Locators are sections. Mirror: PMC
- 18a.
Section Results: “The estimated selective advantage conferred by a LP allele (mode = 0.0953; 95% CI = 0.0518–0.159) is in good agreement with previous estimates for Europeans (0.014–0.15 [8]). However, it should be noted that (1) this estimate is for selection only in dairying farmers, who make up just under half of the population that we simulate”. Section Methods: “All simulations were run for 360 generations which, assuming a generation time of 25 years [81],[82], corresponds to the 9,000-year history of farming in Europe.” The model is fitted to radiocarbon-based arrival dates of farming and starts the allele at a frequency of 0.1 in the deme of origin. ↩
- 18a.
- 19.
Mathieson, Iain, and Jonathan Terhorst. “Direct detection of natural selection in Bronze Age Britain.” Genome Research 32(11–12):2057–2067. 2022. CC BY-NC 4.0. Read from the library PDF; PDF page N is printed page 2056 + N, checked against the folios on PDF pages 6 and 8. Mirror: PMC
- 19a.
Page 2062: “This suggests that with the data available we should be able to reliably detect selection coefficients around 0.02, similar to the SDS and aDNA allele frequency approaches that we compare to our method (Mathieson et al. 2015; Field et al. 2016). The absolute error of the estimate does not depend on the selection coefficient, meaning that, at least in this parameter range, we cannot reliably distinguish smaller selection coefficients from zero.” ↩
- 19b.
Page 2063: “We find that selection for the persistence allele was strongest (s ≈ 0.08) from 150 to 100 generations before the present (roughly 4500–3000 BP) before decreasing to around 0.02 in the past 50 generations. This large change in strength of selection might explain the wide range of estimates from models that assume a constant value”. Table 1: “s̄ is the average selection coefficient over the observed time period.” Table 1 gives LCT s̄ = 0.064; the bar over the s is lost in the PDF text layer. The model is genic: "the a allele has relative fitness 1 + st/2 relative to A" (p. 2057). ↩ ↩
- 19a.
- 20.
Evershed, Richard P. et al. “Dairying, diseases and the evolution of lactase persistence in Europe.” Nature 608:336–345. Aug 2022. Senior author Mark G. Thomas, University College London. Read from the author manuscript in the library; locators are sections and the model-selection table. Mirror: PMC
- 20a.
Section Abstract: “In European and many African, Middle Eastern and Southern Asian populations lactase persistence (LP) is the most strongly selected monogenic trait to have evolved over the last 10,000 years”. ↩
- 20b.
Section Abstract: “European milk use was widespread from the Neolithic period onwards but varied spatially and temporally in intensity. Surprisingly, comparison of model likelihoods indicates that LP selection varying with levels of prehistoric milk exploitation provides no better explanation of LP allele frequency trajectories than uniform selection since the Neolithic.” ↩
- 20c.
Section Main text, UK Biobank: “around 92% (95% CI 91.5% - 92.2%) of genetically LNP participants consume fresh cows’ milk (Table 1)”. ↩
- 20d.
Section Abstract: “We propose that lactase non-persistent individuals consumed milk when it became available, but that under particular conditions and microbiological milieux this was disadvantageous, driving LP selection in prehistoric Europe.” ↩
- 20e.
Section Main text, ancient DNA: “We note that while the allele only reaches appreciable frequencies by c.2 kyr BCE, nearly three millennia after its first detection (earliest LP individual dated to c.4,700-4,600 BCE), the dates of origin, the start of selection, the earliest observation and the reaching of appreciable frequencies of this allele are all distinct ‘events’, each possibly separated by thousands of years.” Reference superscripts omitted. ↩ ↩ ↩
- 20f.
Tables Extended Data, model selection: “constant, additive 2 -138.699464119656 NA 0.0013 0.022”. “population fluc., additive 3 -132.204402436158 0.000313138336841865 0.001 0.147 0.259”. “Due to the parametrisation of fitness, the dominant selection coefficient has to be multiplied by a factor 2 to be comparable to the additive models”. Columns are model, number of parameters, log likelihood, test p-value, starting frequency, fitted s, exponent. The constant dominant model gives 0.011. Generations are 28 years. ↩
- 20a.
- 21.
Ségurel, Laure et al. “Why and when was lactase persistence selected for? Insights from Central Asian herders and ancient DNA.” PLoS Biology 18(6):e3000742. Jun 8, 2020. CC BY. Read from the library PDF, pages numbered 1 to 11. Mirror: PMC
- 21a.
Page 1: “Investigating the temporal dynamic of the −13.910:C>T Eurasian mutation associated with LP, we found that, after its emergence in Ukraine 5,960 before present (BP), the T allele spread between 4,000 BP and 3,500 BP throughout Eurasia, from Spain to Kazakhstan.” ↩
- 21b.
Page 1: “After 3,000 BP, the mutation strongly increased in frequency in Europe, but not in Asia.” ↩
- 21c.
Page 2: “Indeed, Mongol and Kazakh herders have LP phenotypic frequencies of 12% to 30% [15,16], despite 35% of the dietary energetic intake in summer deriving from dairy products in contemporary Mongols [17]”. Page 4: “In conclusion, in Central Asia, what clearly appears is that the mutation was already present at the end of the Bronze Age and has remained around 5% in frequency since the Iron Age.” ↩
- 21d.
Page 4: “Indeed, considering a coefficient selection of 4% starting 3,000 years ago on a mutation at an initial frequency of 5%, the mutation should have reached a frequency of 51% (meaning a phenotypic prevalence of LP of 76%) in modern populations.” ↩
- 21e.
Page 1: “Given the possibility of a nongenetic adaptation to avoid intestinal symptoms when consuming dairy products, the puzzle then becomes this: why has LP been selected for at all?” ↩
- 21a.
- 22.
Mathieson, Iain et al. “Genome-wide patterns of selection in 230 ancient Eurasians.” Nature 528:499–503. Dec 2015. Senior author David Reich, Harvard Medical School. Read from the PubMed Central author manuscript; locators are sections. Mirror: PMC
- 22a.
Section Results, selection: “The strongest signal of selection is at the SNP (rs4988235) responsible for lactase persistence in Europe. Our data (Fig. 3) strengthens previous reports that an appreciable frequency of lactase persistence in Europe only dates to the last four thousand years. The allele’s earliest appearance in our data is in a central European Bell Beaker sample (individual I0112) that lived between approximately 2300 and 2200 BCE.” Reference superscripts omitted. ↩ ↩
- 22a.
- 23.
The library copies of Behe's 2010 paper,2 Darwin's Black Box (2006 edition), The Edge of Evolution (2007) and Darwin Devolves (2019) were searched for "lactase" and "lactose". None mentions lactase. Every "lactose" passage concerns the E. coli lac operon or the Ebg enzyme. ↩
- 24.
Kong, Augustine et al. “Rate of de novo mutations and the importance of father's age to disease risk.” Nature 488(7412):471–475. Aug 2012. deCODE Genetics, Reykjavik. Read from the NIH author manuscript in the library; locators are the manuscript's own page numbers. Mirror: PMC
- 24a.
Section Abstract: “Here we show that in our samples, with an average father’s age of 29.7, the average de novo mutation rate is 1.20×10⁻⁸ per nucleotide per generation.” The exponent is a superscript in print; it was checked against the "All 4933" row of Table 2. ↩
- 24b.
Table 2, page 14: “Transition at non-CpG 2489 6.18×10⁻⁹ Transition at CpG 855 1.12×10⁻⁷ Transversion at non-CpG 1516 3.76×10⁻⁹ Transversion at CpG 73 9.59×10⁻⁹ All 4933 1.20×10⁻⁸”. “Mutation rates are per generation per base.” ↩ ↩
- 24a.
- 25.
From Kong 2012 Table 2.24 A transition has one possible outcome at a site, so its specific rate is the class rate, 6.18 × 10⁻⁹. A transversion has two, so a specific transversion is taken as half the class rate: 3.76 × 10⁻⁹ ÷ 2 = 1.88 × 10⁻⁹ at non-CpG sites, and 9.59 × 10⁻⁹ ÷ 2 = 4.80 × 10⁻⁹ at CpG sites. The equal split is an assumption. The class rates are averages over the genome; the rate at one site can differ with its neighbours. ↩
- 26.
Haldane, J. B. S. “A mathematical theory of natural and artificial selection, Part V: selection and mutation.” Proceedings of the Cambridge Philosophical Society 23(7):838–844. 1927. Read from the facsimile in Haldane's Selected Genetics Papers (1990), which keeps the original page numbers.
- 27.
New copies per generation = 2 × people × specific rate. Generations per new copy = 1 ÷ that. Generations per surviving copy = 1 ÷ (new copies per generation × 2s), with 2s = 0.1 from Haldane's survival probability26 and s = 0.05 chosen for scale. Example for −13910T in 1,000,000 people: 2 × 1,000,000 × 6.18 × 10⁻⁹ = 0.0124 new copies per generation, so 1 ÷ 0.0124 = 81 generations per copy and 81 ÷ 0.1 = 809 per surviving copy. Transversion columns use 1.88 × 10⁻⁹. All rows were computed by
research/ledger.ts, whose output is saved beside it. ↩ - 28.
Evershed's earliest carrier, c. 4,700 to 4,600 BC,20 midpoint 4,650 BC, is 4,650 + 2,000 = 6,650 years before about AD 2000. At 28 years a generation that is 6,650 ÷ 28 = 238 generations. Ségurel's 5,960 BP at 25 years gives 5,960 ÷ 25 = 238 as well. Expected origins = 2 × people × 240 generations × 6.18 × 10⁻⁹; for 1,000,000 people, 2 × 10⁶ × 240 × 6.18 × 10⁻⁹ = 2.97. Surviving origins = that × 0.1. ↩
- 29.
The five established variants run from −13907 to −14010, which is 14,010 − 13,907 + 1 = 104 letters inclusive. Each letter can change to three others, so the stretch allows 104 × 3 = 312 single-letter changes. Five of 312 is one in 62.4, so at least one change in 63 is known to help. This counts only changes that arose, spread and were found. ↩
- 30.
For two specific changes that must arrive together in one child: 6.18 × 10⁻⁹ × 1.88 × 10⁻⁹ = 1.16 × 10⁻¹⁷ per gene copy per generation. In 10,000,000 people, 2 × 10⁷ × 1.16 × 10⁻¹⁷ = 2.32 × 10⁻¹⁰ per generation, or one per 4.3 × 10⁹ generations. This is the worst case, for scale only. If the first change is harmless it can spread by drift first, and the wait becomes far shorter. ↩
- 31.
Answers in Genesis. “Milk-Digestion Gene Disabled, Evolution Proved?” News to Know. Dec 16, 2006. Retrieved Sep 27, 2026. Unsigned staff item responding to a ScienceNOW report on Tishkoff 2007.
- 31a.
Paragraph 5: “All humans are able to digest milk from birth; the mutations allowing lifelong lactose tolerance don’t “add” any new ability; they merely cause a malfunction in the automatic shutdown of lactose digestion in children.” ↩
- 31a.
- 32.
Lightner, Jean K. “Are Some Mutations Directed? A Response to “From Atoms to Traits” in Scientific American.” Answers in Depth 4. Mar 4, 2009. Retrieved Sep 27, 2026. Byline and date from the page header.
- 32a.
Section Section on providential change: “The example of humans developing lactose tolerance also fits very well within the creation model. Originally humans were designed to produce lactase, the enzyme necessary to digest milk, only during early childhood. This excellent design prevents wasteful production of the enzyme during adulthood. However, the lactase gene was designed to allow for change.” ↩
- 32a.
- 33.
Carter, Robert W. “Can mutations create new information?” Journal of Creation 25(2):92–98. Aug 2011. Retrieved Sep 27, 2026. Carter writes for Creation Ministries International. Read from the web version, updated 2025-02-21, in the library. It does not discuss lactase.
- 33a.
Section Introduction: “The phrase, “Mutations cannot create new information” is almost a mantra among some creationists, yet I do not agree.” ↩
- 33a.
- 34.
Routes tried for the Institute for Creation Research: the icr.org site search for "lactase" (catalogue pages only), web searches with and without a domain filter, and a Wayback index search for icr.org addresses containing "lactose", "lactase" or "milk". For Carter and Jeanson: web searches, Carter's "Can mutations create new information?", and the 17 Jeanson items in the site's source library. Not found is not the same as not written. ↩