The Origin of Sex

Sex costs about twice as much as cloning, and snail experiments measured that cost. Parasites, harsh environments and harmful mutations each make sex pay in particular species, but no mechanism has been shown to pay it everywhere. Meiosis was already complete in the earliest eukaryotes, and how it began has no demonstrated pathway.

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

"Sex is the queen of problems in evolutionary biology."
Graham Bell, The Masterpiece of Nature, 19821

"we are still far from a definitive answer to the question of why sexual reproduction is so common."
Rolf Hoekstra, Nature, 20052

Summary

Most plants and animals reproduce by sex.  Two parents each pass on half their genes, through a special cell division called meiosis that halves the chromosome number and shuffles the parents' genes.  Many organisms skip it and clone themselves.  This article asks two separate questions and keeps them apart.  Why does sex persist, when cloning looks cheaper?  And how did meiosis and sex begin?  For each step it asks what has been observed, what is inferred, and what is assumed.

  • Young-earth and design writers mostly argue about the origin. Walt Brown, Werner Gitt and Don Batten say male and female organs had to appear complete and at the same time. F. LaGard Smith says natural selection could not produce meiosis, and Jonathan Sarfati that its intermediate stages would be harmful. Brian Thomas of the Institute for Creation Research suggests animals keep sex because they cannot reproduce any other way. John Sanford says sex slows but cannot stop genetic decline. Harry Sanders of Answers in Genesis says no hypothesis for sex has "any observable evidence."3 Only a few separate the persistence question from the origin question.
  • The cost of sex is real, and it has been measured. A sexual female spends half her offspring on sons, so a clone that makes only daughters should double its share each generation. In New Zealand mud snails kept in outdoor tanks, clones rose 1.6-fold in one generation, and the best estimate of the cost of sex was 2.14, with a 95% range of 1.81 to 2.55. The cost falls away where there are no males to pay for: in species with equal-sized sex cells, in hermaphrodites, and where sex is rare.
  • Harmful mutations can pay for sex only in some species. The proposal of Alexey Kondrashov needs more than one new harmful mutation per genome per generation, and needs the mutations to harm more together than apart. Simple arithmetic shows it needs at least 0.69 even in the best case. Peter Keightley and Adam Eyre-Walker estimated about 0.06 to 0.07 in fruit flies, "some 20 times lower" than required in short-lived animals.4 The second condition is found in some tests and not in others. Muller's ratchet, the slow loss of the least-mutated clones, is real in the laboratory but too slow to matter in large populations.
  • Parasites favour sex in the two species where it was tested best. In the mud snail, the share of males tracks parasite infection across 51 sites, and common clones were replaced by rare ones over 7 to 10 years. In the worm Caenorhabditis elegans, every self-fertilising population died within 20 generations when exposed to a coevolving bacterium, while outcrossing populations survived. But a general model by Sarah Otto and Scott Nuismer found that "species interactions typically select against sex" unless selection is strong.5
  • Laboratory experiments show sex speeding adaptation, under conditions. Yeast and algae with occasional sex adapted faster in harsh or novel conditions, by about 10% per generation in growth rate in the best-measured case, and not at all in benign conditions in two studies. These organisms have no males, so they test the benefit of sex, not the twofold cost. Priced, an advantage of that size pays easily for sex once every 25 generations, and covers only about a seventh of the cost if sex happens every generation.
  • Lineages that give up sex mostly do not last. Most asexual animal lineages are young offshoots of sexual relatives, and several accumulate harmful amino-acid changes faster than their sexual kin. The exceptions are real but fewer than they looked: the bdelloid rotifers, long called an evolutionary scandal, show signs of some genetic exchange after all, while ancient asexual mites show no excess damage. Laboratory crosses made a new clonal lizard species in one generation, so animals can switch to cloning, and Thomas's "no other way" does not hold.6
  • How meiosis began is undemonstrated. The genes for meiosis are shared across living eukaryotes, including parasites never seen to mate, which leads mainstream biologists to infer that the last common ancestor of eukaryotes already had full meiosis. Nothing living shows an earlier stage. Four published proposals disagree about which step came first, and their authors call the origin an "enigma"7 that has "never been satisfactorily explained."8
  • The claim that male and female had to appear together is wrong as stated. Sex does not need males and females. Single-celled algae mate as equal-sized cells of two mating types. In their many-celled relatives, a single mating-type gene, MID, now decides between sperm and egg, and switching it on in females made them produce sperm.
  • Creationists mostly quote the scientists accurately but out of context. Bell's "queen of problems" is accurate, and its next sentence asks why sex is maintained, not how it began.1 Smith misquotes it as "queen of evolutionary problems."9 Jonathan McLatchie of the Discovery Institute quotes Carl Zimmer calling sex "a recipe for evolutionary disaster"10 and drops Zimmer's next sentence, which gives the parasite answer. Calling the problem unsolved is fair: Otto wrote in 2009 that more data are needed "to settle the paradox of sex."11 Saying there is no evidence is not.

Verdict.  Three answers.  On persistence the question is unfinished on both sides:  mainstream biology has demonstrated mechanisms that make sex pay in particular species, but not one that pays the twofold cost in general, and creationist writers have offered no mechanism at all.  On the origin of meiosis the creationist argument is right that no pathway is demonstrated, and wrong when it says one is impossible.  On the claim that both sexes had to appear at once, the creationist argument is wrong.

Part 1: Two questions, and what creationists and design writers say

The literature on sex asks two different questions.  The first is why sex persists.  Every sexual species could, in principle, be replaced by a mutant that clones itself, and the question is why that rarely happens.  The second is how sex began:  how meiosis, the halving division that makes eggs and sperm, came to exist at all.  An answer to one is not an answer to the other.  A benefit that keeps sex going today does not say how the machinery was first built, and a story of how meiosis began does not say why clones have not taken over since.

The origin argument.  Most young-earth writing on sex is about the second question.  Walt Brown's In the Beginning says that "the amazingly complex, radically different, yet complementary reproductive systems of the male and female must have completely and independently evolved at each stage about the same time and place," and that "just a slight incompleteness in only one of the two at any stage would make both reproductive systems useless."12  Werner Gitt, in a chapter Answers in Genesis republished in 2012, makes the same point:  "Sexual reproduction is only possible when both sexes have fully functional reproductive organs at the same time."13  F. LaGard Smith's 2018 book Darwin's Secret Sex Problem argued, in his own summary, that "Natural selection could not possibly have evolved even the most elementary form of sex by meiosis," and that it could not have supplied "the first sexually-compatible pair of any species."9  Jonathan Sarfati of Creation Ministries International grants that sex has advantages once it exists, and argues that advantages cannot explain how it "could be built from scratch."14  Jerry Bergman's review in Journal of Creation calls Smith's the only book he knows that "covers in detail the widely acknowledged problem of the evolutionary origin of sexual reproduction."15

The persistence argument.  Fewer creationist writers address the second question directly.  Harry Sanders III of Answers in Genesis does.  He says asexual reproduction "would appear to be the way to go," reviews the parasite hypothesis and rejects it because "the host would need to undergo radical genetic changes to produce radically different physical structures," and concludes that evolutionary hypotheses for sex lack evidence:  "Ultimately, none of them have any observable evidence to back them up."  He adds that "asexual lineages should be going extinct in the evolutionary paradigm."3  Jonathan McLatchie of the Discovery Institute, an intelligent-design writer, argued in 2011 that the costs of sex "are potent short-term disadvantages which should have mitigated against sexual reproduction evolving in the first place."10  Hugh Henry and Daniel Dyke of Reasons to Believe, an old-earth ministry, are the clearest on the split.  They ask how sex arose, and then say "The real question may be how do we keep sexual reproduction."  Their own answer is that "From the point of view of natural selection, there is no benefit to sexual reproduction."16

Sex as design.  Three writers say what sex is for in a created world.  Jean Lightner in Journal of Creation writes that "God designed meiosis in a way that naturally tends to increase diversity," as a source of variation within created kinds.17  John Sanford's Genetic Entropy holds that sex slows mutational decline and does not stop it:  "An unspoken theme of this book is that what is already known for clonal populations also applies to sexual populations."  He explains living clonal plants and animals by time:  "there has not yet been enough time for such populations to degenerate to the point of extinction."18  Sanford's argument that every genome degenerates belongs to the article on genetic entropy and is not re-argued here.  Brian Thomas of the Institute for Creation Research gave the simplest answer to the persistence question.  Writing about a beetle experiment in 2015, he suggested that animals keep reproducing sexually "simply because they have no other way to do it!"6

That last answer can be checked, and Thomas checked it himself four years earlier.  In 2011 he reported that laboratory crosses of whiptail lizards "produced four new parthenogenetic 'species'," lineages of females that clone themselves, and he credited the ability to design:  "It would make sense that a Creator would have endowed these egg-laying vertebrates with the potential to perpetuate themselves even in the event that a male was unavailable."19  If a vertebrate can switch to cloning in one generation in a laboratory, "no other way" cannot be the reason sex persists.  The question of why clones have not taken over remains, for the creationist as for anyone else.

What the two sides do not claim.  No creationist source found here denies that sex has a cost, and none claims that asexual organisms are better designed.  Several, including Sanders, say both modes of reproduction were created at the beginning.3  On the other side, no mainstream source read here claims that the origin of meiosis has been demonstrated.  The live disputes are narrower than the rhetoric:  whether the benefits of sex have been measured, and whether the first steps of meiosis can be described.

Part 2: What sex costs, and how the cost was measured

The argument.  John Maynard Smith set out the cost in 1978 with a one-generation sum.  Take a sexual species with equal numbers of males and females, and suppose a mutation makes some females produce only daughters like themselves.  Each mother has the same number of young, but the sexual mother's brood is half sons, who bear no young.  "Hence, in one generation, the proportion of parthenogenetic females increases from n/(2N+n) to n/(N+n); when n is small, this is a doubling in each generation."20  He was careful about what the cost is a cost of:  "I believe that the twofold advantage of parthenogenesis is best seen as the advantage of not producing males."20  The argument also holds "only if other things are equal," that is, if sexual and clonal females are otherwise equally fit.20

How fast a clone wins.  A doubling every generation is fast.  Starting from a single clonal female, a clone reaches half of a population of a million in about 20 generations, and half of a billion in about 30.21  Even a clone 30% less fit than sexual females takes over a population of a million in about 41 generations.  So whatever keeps sex going has to work now, generation by generation.  A benefit that pays off over thousands of years, such as faster adaptation to a climate that has not changed yet, arrives too late.  Maynard Smith credited George Williams with the cleanest form of this point:  "If parthenogenetic and sexual methods of reproduction coexist in the same population, then there must be some immediate advantage to sexual reproduction to counterbalance its twofold disadvantage."20

The measurement.  Amanda Gibson, Lynda Delph and Curtis Lively measured the cost directly in 2017.  The New Zealand mud snail Potamopyrgus antipodarum lives in lakes as a mixture of sexual females, males, and clonal females, which are mostly triploid.  The team collected young snails from Lake Alexandrina on New Zealand's South Island, stocked large outdoor tanks at a field station with them, and counted the share of clonal offspring one generation later, in six tanks a year for four years.  "The frequency of asexuals increased 1.60-fold (95% CI [1.48, 1.73]) from an initial frequency of 29% in the parental generation."22  A 1.60-fold rise from 29% is close to what a doubling of the odds predicts when clones are already common, about 1.55-fold.  Fitting Maynard Smith's model to the counts, "The likelihood of model 3 was maximized at a cost of sex that slightly exceeds two (c = 2.14, 95% CI [1.81, 2.55])."22  When the sex ratio was set at the expected 50:50, the fitted fecundity of clonal and sexual mothers was equal, "consistent with the all-else-equal assumption."22

The same group found the cost larger when parasites were added.  In tanks dosed with the trematode Microphallus, "sexuals paid both the two-fold cost of sex and the cost of higher infection prevalence," and the fitted cost rose from 2.18 to 3.15.23  In the lake itself the yearly estimates were lower:  "1.98 in 2012, 1.47 in 2013, 0.81 in 2014, and 1.39 in 2015."23  The authors suggest that overlapping generations in the wild spread the cost over more time.

What is observed, what is inferred.  The cost is observed, in one species, over one generation, in tanks and in a lake.  That a similar cost applies to other species with separate sexes is an inference, though a short one:  it follows from the arithmetic of producing sons whenever sexual and clonal mothers are otherwise alike.

Where the cost does not apply.  The twofold cost is a cost of males.  Maynard Smith listed the exceptions himself:  "the twofold advantage of parthenogenesis does not apply to isogamous species, or to monogamous species with paternal care of the young."20  Isogamous species are those whose sex cells are all the same size, such as yeast and many algae.  They make no sons, so a clone among them gains nothing by skipping males.  A species that has sex once in many generations pays the cost only in those generations.  Most of the laboratory experiments in Part 5 use organisms of these two kinds.  So they can show that sex has a benefit, but they cannot show that the benefit is large enough to pay for males.

Other costs.  Sex has costs besides sons.  Finding and courting a mate takes time and energy and carries risk.  Meiosis breaks up gene combinations that worked in the parents, so some offspring are worse than either parent.  Jussi Lehtonen, Michael Jennions and Hanna Kokko asked in 2012 whether the cost really is twofold and what its source is:  "males, genome dilution or both?"24  None of these costs is measured as precisely as the cost of males.

Part 3: Harmful mutations as the reason for sex

Every genome copies itself with errors, and most errors that matter are harmful.  Two of the oldest explanations for sex say it helps a population get rid of them.  Both have been tested, and both work only under conditions that many sexual species do not meet.

Muller's ratchet.  In 1964 Hermann Muller pointed out that a clone can never get back to a cleaner genome than the cleanest one it has.  Joseph Felsenstein's 1974 paper quotes him:  "an asexual population incorporates a kind of ratchet mechanism, such as it can never get to contain, in any of its lines, a load of mutation smaller than that already existing in its at present least-loaded lines."25  If the few individuals with the fewest mutations die out by chance, that class is gone for good, and the ratchet clicks once.  Sex can rebuild a clean genome by combining clean pieces from two parents.

The ratchet's speed depends on how many individuals sit in the cleanest class.  At balance between mutation and selection, a clone of N individuals has about N e^(−U/s) of them, where U is the number of new harmful mutations per genome per generation and s is the harm each does.26  "The smaller the n0, the faster the ratchet is likely to be."26  In a large population the cleanest class is huge.  At bacterial mutation rates of a few thousandths per genome per generation and s = 0.01, between half and nine-tenths of a million cells sit in it, and the ratchet does not move.27  It moves when populations are small or mutation rates are high.

The laboratory agrees.  Dan Andersson and Diarmaid Hughes passed 444 lines of Salmonella through single-cell bottlenecks, the harshest possible, for about 1,700 generations.  "We can conclude that 5 of 444 lineages (1%) suffered a significant loss of fitness after 1700 generations."  They read this as showing "that Muller's ratchet indeed operates at a significant rate in bacteria."28  Lin Chao saw fitness fall in 20 bottlenecked lines of an RNA virus, which mutates far faster.29  Clifford Zeyl's group ran yeast at an effective size near 250 for about 2,900 generations, and two populations died, both of them strains with a raised mutation rate.30  So the ratchet is real.  It is also slow wherever populations are large.  Peter Keightley and Adam Eyre-Walker summed up the consensus:  the ratchet "is unlikely to maintain obligate sexuality, since it operates very slowly in large populations and can be avoided with very little sex."4

Kondrashov's hypothesis.  Alexey Kondrashov proposed in 1988 a mechanism that does not depend on population size.  "If the deleterious mutation rate per genome per generation is greater than 1, then the greater efficiency of selection against these mutations in sexual populations may be responsible for the evolution of sex."31  The idea needs the mutations to interact:  two together must do more harm than the sum of each alone, which geneticists call synergistic epistasis.  Then selection removes many mutations with each death, and sex keeps reshuffling them into some individuals that can be removed.  Keightley and Eyre-Walker stated both conditions:  "If rates of deleterious mutation per diploid genome per generation (U) exceed 1, and mutations interact synergistically, then sexuals can overcome their inherent twofold disadvantage."  They added that "This is a minimum condition, since U needs to be rather greater than 1 if stochastic factors are taken into account."4

Priced.  There is a hard ceiling on what this mechanism can deliver, whatever the epistasis.  Motoo Kimura and Takeo Maruyama showed in 1966 that a clone at balance between mutation and selection has an average fitness of e^(−U) relative to its own best class, and that "under asexual reproduction, epistasis has no effect in reducing the mutational load."32  A sexual population cannot be fitter than a genome with no mutations at all.  So the most sex can gain is a factor of e^U.  For that to reach two, U must be at least ln 2, about 0.69, even with the most favourable epistasis anyone could propose.33  At U = 0.1 the ceiling is 1.11, a gain of 11% against a cost of 100%.

Measured U.  Keightley and Eyre-Walker estimated U from protein-coding genes in nine pairs of animal species.  Their estimates per generation ranged from 3.0 in human and chimpanzee to 0.49 in chicken and quail and 0.058 to 0.071 in three pairs of fruit flies.4  Even counting every point mutation in the fruit-fly genome as harmful gave 0.8.  For animals that breed monthly or faster, such as many insects, copepods and nematodes, they inferred rates "of the order of 0.05, some 20 times lower than the MD hypothesis requires."  Their conclusion:  "the hypothesis is not supported as a general mechanism."4  Two features of the method need stating.  It converts differences between species into rates per generation using divergence dates taken from fossils, so its numbers carry the deep-time timescale.  And it assumed 80,000 human genes, about four times the number later counted.  Keightley's own 2012 revision, which used the mutation rate measured directly in families, put the human rate from protein changes alone at about 0.35, "2–10 times lower than previous estimates," and the whole-genome rate at about 2.2.34  So humans may clear the bar.  Flies, nematodes and copepods, which also have males and pay the full cost, do not.

Measured epistasis.  The second condition has been tested directly.  Santiago Elena and Richard Lenski built E. coli strains carrying one, two or three mutations and found interactions "antagonistic as often as they are synergistic," so that "These results do not support the mutational deterministic hypothesis for the evolution of sex."35  A 2007 review by Roger Kouyos and colleagues said that the needed epistasis "is relatively uncommon."36  A 2017 study of human and fruit-fly genomes by Mashaal Sohail and colleagues found the pattern synergistic epistasis predicts among rare gene-breaking mutations, and suggested it "may explain how human and fly populations persist despite high genomic mutation rates."37  The effect they found was small, about a 5% reduction in variance, which shows the sign of the interaction but not that it is strong enough to pay the twofold cost.

Interference in finite populations.  The theory that most reviewers now favour combines mutation, selection and chance.  In a population of limited size, a good mutation can be trapped on a genome carrying bad ones, and two good mutations in different individuals compete instead of combining.  This is called Hill–Robertson interference, after William Hill and Alan Robertson's 1966 analysis.  Keightley and Sarah Otto showed in 2006 that harmful mutations at many sites give sex "a stochastic advantage" that "increases with population size."38  Otto's 2009 review shows a simulation in which genes for occasional sex spread against a twofold cost.  It also says plainly:  "An open question is whether the drift-based explanation is strong enough to account for the evolution of sex in the face of substantial costs of sex."11  Its sketch of how sex could be common is hedged:  "It remains to be demonstrated but seems plausible that high levels of sex could evolve, given a combination of selective forces acting across the genome, even in the face of substantial costs of sex."11

What is observed, inferred and assumed.  Observed:  the ratchet lowers fitness in small laboratory populations of bacteria, viruses and yeast;  measured rates of harmful mutation are below 0.69 per generation in short-lived animals and above it in humans;  synergistic epistasis is found in some tests and not others.  Inferred:  that interference in finite populations is strong enough to keep obligate sex.  That has been modelled, not measured.  Simulations run by John Sanford's own group found that truncation selection combined with sexual recombination can halt the build-up of mutations;  the genetic entropy article discusses that result.

Part 4: Parasites, the Red Queen

The Red Queen hypothesis, named after the character in Through the Looking-Glass who runs to stay in place, says that parasites keep sex going.  Parasites evolve to attack the commonest host genotypes.  A clone is a single genotype, so once it becomes common it becomes a target, while sexual offspring keep changing.  The advantage is immediate, which is what Part 2 showed any explanation needs.  It is also the explanation with the most direct field and laboratory support.

The snail in the field.  Curtis Lively surveyed the New Zealand mud snail in 1987.  The share of males, a rough measure of how much sex goes on, was higher in lakes than in streams and rose with the rate of infection by trematode worms across 22 lakes and 29 streams.  He was careful:  "These results suggest a role for trematodes, especially Microphallus, in the maintenance of sex in P. antipodarum, but they are not conclusive by themselves."  He tested one obvious artefact, that the worms might infect males more often, and found they did not.  His conclusion was that "the Red Queen hypothesis is the best supported of the hypotheses considered here."39  Jukka Jokela, Mark Dybdahl and Lively then followed a mixed lake population of sexual and clonal snails.  "We found that, within 7-10 years, the most common clones were almost completely replaced by initially rare clones in two different habitats, while sexuals persisted throughout the study period."  The common clones had also become more susceptible to the local parasites, but not to parasites from elsewhere.40  Over a longer run, the group found that in the early 2000s clones were more infected than sexuals, and "A decade later, the asexuals had declined in frequency and were less infected than sexuals."23  That is the cycle the hypothesis predicts.

The worm in the laboratory.  The nematode Caenorhabditis elegans has hermaphrodites that fertilise themselves and males that mate with them, so it can be pushed toward selfing or toward outcrossing by mutation.  Levi Morran and colleagues exposed selfing, outcrossing and wild-type worms to the bacterium Serratia marcescens, either a fixed strain or one allowed to evolve alongside the worms.  "In the coevolution treatment, all of the obligately selfing populations became extinct within twenty generations."  In wild-type worms, "outcrossing rates increased from 20% to over 70%" in eight generations, and stayed high only where the bacterium kept evolving.  The obligately outcrossing worms, which pay the full cost of males, all survived.41  An earlier study by the same lab found that selfing worms also fared worse under an increased mutation rate:  "obligate selfing populations fixed significantly more mutations than did the obligate outcrossing populations."42  The authors stated the limit of their result:  "the long-term maintenance of sex requires that the novelty does not wear off."41

Selfing is not cloning.  A selfing worm still goes through meiosis and shuffles its two chromosome sets.  But because it mates with itself, its offspring quickly become uniform, so selfing populations behave much like clones toward a parasite.  The experiment compares two sexual systems, one of which shuffles far less.  Jonathan McLatchie described it in 2024 as a contrast between self-fertilised and "sexually reproducing" worms;43 the selfers were sexual too, only far less variable.

The theory's limits.  A general model gives a less friendly answer.  Sarah Otto and Scott Nuismer modelled interacting species across 13,608 combinations of settings and found that "species interactions typically select against sex."  They concluded that "although the Red Queen favors sex under certain circumstances, it alone does not account for the ubiquity of sex."5  In their model the Red Queen keeps much sex only "unless species interactions induce strong selection per locus," which needs parasites that are common, harmful, closely matched to particular host genes, and controlled by a few genes on each side.5  Lively's own 2010 review describes "an oscillation of opinion regarding the role of parasites in selection for sex."44

What is observed, inferred and assumed.  Observed:  in one snail, clonal frequency and parasites cycle together over a decade, and common clones lose out;  in one worm, populations that cannot outcross die under coevolving bacteria while outcrossers survive, paying the cost of males.  Inferred:  that parasites do the same in most sexual species.  Theory says that needs strong selection, and how often nature supplies it is not measured.

Part 5: Sexual and asexual populations compared in the laboratory

The cleanest tests of whether sex helps are experiments in yeast, algae and rotifers that can be made to reproduce with or without it.  Their results are real, and they answer a narrower question than the one they are often cited for.

Yeast.  Matthew Goddard, Charles Godfray and Austin Burt grew eight sexual and eight asexual yeast populations, identical except that the asexual strain had two meiosis genes deleted, with a round of sporulation every 25 to 50 generations.  In a benign medium nothing evolved that they could detect.  In a harsh one, hot and salty, both adapted:  "In the asexual lines, relative fitness increased from 0 to 0.59, whereas for the sexual lines the increase was from 0 to 0.68.  These figures are equivalent to increases in population growth rate of 80% and 94%, respectively."  The difference, "about 0.1" per generation on a logarithmic scale, meant that "in the 25 mitotic generations between episodes of sex in our experiments, a sexual individual could expect to leave about 12-fold" as many descendants.45  Jeremy Gray and Goddard repeated the design in 2012:  "Sex provided no advantage in the permissive environment where beneficial mutations were rare," while in the stressful one, "where detrimental mutations were likely of more consequence, and where beneficial mutations were apparent, sex provided an advantage."46  Clifford Zeyl and Graham Bell had found the reverse pattern in 1997:  sex raised fitness in the sugar their populations were already adapted to, not in the new one, and they credited the gain to the removal of harmful mutations.47  Michael McDonald, Daniel Rice and Michael Desai sequenced whole yeast populations in 2016.  With sex once every 90 generations, "sexual populations adapted significantly faster than asexual controls," and in asexual populations "significantly deleterious mutations hitchhike to fixation" on the backs of good ones.48  That is Hill–Robertson interference seen directly.

Algae and rotifers.  Nick Colegrave found in the alga Chlamydomonas that "sex has a marked effect in large populations but little effect in small populations," with sexual lines about 10% fitter than asexual controls after eight rounds of mating and 50 further generations.49  Lutz Becks and Aneil Agrawal, using a rotifer that switches between cloning and sex, found that "Sexually derived genotypes are more fit than asexually derived genotypes when adaptive pressures are strong, but this pattern reverses as the pace of adaptation slows."50

What these experiments cannot show.  Yeast and Chlamydomonas make no males.  Rolf Hoekstra, commenting on the Goddard study in Nature, put it directly:  "yeast has no male-female distinction, so the twofold cost of sex does not apply, which prevents a straightforward generalization of the conclusions to most animals and plants."2  And in every design above, sex happened once every 25 to 90 generations, not every generation.

Priced.  Take the best-measured case, Goddard's advantage of about 0.1 per generation on the log scale, a growth rate about 10.5% higher.  Suppose an organism with males had sex once every 25 generations and paid the twofold cost only in that generation.  It would lose a factor of two once and gain a factor of about 12 over the 25 generations, a net gain of about six.  Now suppose it had sex every generation, as obligately sexual animals do.  It would pay a factor of two every generation and gain a factor of 1.105, which covers about a seventh of the cost.51  The experiments therefore show that occasional sex pays well when a population is adapting to hard conditions.  They do not show that obligate sex with males pays.  Sarah Otto's 2009 review drew the same line in its simulations:  genes for low levels of sex spread against a twofold cost, while genes for high levels "did not spread unless costs were much less than twofold."11

What is observed, inferred and assumed.  Observed:  in organisms without males, occasional sex speeds adaptation under strong selection, often not at all under weak selection, and keeps harmful hitchhikers from fixing.  Inferred:  that the same benefits, at the size seen here, keep obligate sex in animals.  The arithmetic says that inference does not follow without a much larger benefit.

Part 6: Lineages that gave up sex

If sex persists because clones fail, lineages that give up sex should show the damage.  Two kinds of evidence bear on this:  how long asexual lineages last, and whether they collect harmful mutations faster.

Most asexual lineages are young.  Asexual animals and plants usually sit at the tips of the tree of life, as recent offshoots of sexual relatives, a pattern often called "twiggy."  It was long read as proof that clones die out quickly.  Tanja Schwander and Bernard Crespi showed in 2009 that the pattern does not prove that much:  low rates of origin or of speciation "can generate twiggy distributions of asexuality, in the absence of high extinction rates for asexual lineages."52  Maurine Neiman and colleagues found that estimated ages of asexual lineages follow a smooth distribution, so that taxa viewed as "scandalously" ancient "merely fall on the high end of this distribution."53  Every one of these ages is inferred from a molecular clock or a fossil date.  None is observed.

Faster damage, measured.  Several studies compare the same genes in sexual and asexual relatives.  In the water flea Daphnia pulex, Susanne Paland and Michael Lynch estimated that "mitochondrial protein-coding genes in asexual lineages accumulate deleterious amino acid substitutions at four times the rate in sexual lineages."54  In the mud snail, Neiman's group found that the effect "occurs rapidly enough to be detected in recently derived asexual lineages."55  In Timema stick insects, asexual lineages show the same excess, but Jens Bast and colleagues added that "there is currently no evidence that the average fitness of asexual Timema females is lower than the fitness of sexual females."56  The direction is not universal.  In oribatid mites, which lost sex long ago by clock estimates, Alexander Brandt and colleagues found the ratio of harmful to silent changes "on average lower at asexual branches as compared to sexual branches."57

The bdelloid rotifers.  Bdelloids are tiny freshwater animals in which no male has ever been seen.  David Mark Welch and Matthew Meselson called them "the largest metazoan taxon in which males, hermaphrodites, and meiosis are unknown," and reported in 2000 that gene copies inside each genome were far more different than allele pairs in sexual species, as long asexuality predicts.58  Bdelloids became the standard "evolutionary scandal."  Later genomes complicated the story.  The genome of Adineta vaga in 2013 showed that its chromosomes are arranged in a way that "does not allow meiotic pairing;  instead, we find abundant evidence of gene conversion."  Its allele copies differ by only 4.4%, within the range of sexual species, and the authors wrote that "current evidence does not exclude that they may engage in sex on rare, cryptic occasions."59  A 2020 study of eleven wild A. vaga found "evidence for interindividual genetic exchange and recombination,"60 and a comparison of several bdelloid genomes found that features taken as signs of long asexuality "are not general to all bdelloid species, even within the same genus."61  The bdelloid case, which was the best evidence that animals can live without sex for tens of millions of years, now looks like a case of rare or unusual genetic exchange.

Jeffrey Tomkins of the Institute for Creation Research wrote about the bdelloids' foreign genes, and argued that "evolutionary biologists have resorted to fictional stories cloaked in technical terminology to escape the straightforward conclusion that rotifer DNA was purposefully crafted."62  He did not address whether they are asexual.  No creationist source found here engages the work on asexual lineages beyond Sanders's claim, in Part 1, that asexual lineages "should be going extinct in the evolutionary paradigm."  The mainstream literature does not predict that every clone dies at once.  It predicts that clones are mostly young and that they collect harmful changes faster, and the measurements mostly agree.

For a young earth.  This evidence is friendly to a young-earth reading in one respect.  The ages that make some asexuals "ancient" come from clocks and amber dates, and the bdelloid signal of very old asexuality has weakened under better genome data.  Sanford's view that clones survive because there has not been enough time to degenerate fits lineages that are young.  It does not by itself explain why clones exist alongside sexual relatives in the same lakes, which the Red Queen data do.

What is observed, inferred and assumed.  Observed:  asexual lineages are usually close relatives of sexual ones;  in water fleas, snails and stick insects they carry more amino-acid changes;  bdelloid genomes cannot pair chromosomes in ordinary meiosis yet show some exchange.  Inferred:  ages in millions of years, and that the twiggy pattern reflects early extinction.  Assumed:  the clock rates used to date the lineages.

Part 7: How meiosis began

Meiosis is the step that makes sex possible.  Before it, a cell copies its chromosomes once.  Then matching chromosomes from the two parents find each other, pair along their length, and swap segments, which requires deliberately cutting both strands of the DNA and repairing them.  Then the cell divides twice, so that each of the four products carries one set instead of two.  At least four things are new compared with ordinary cell division:  pairing of the matching chromosomes, crossing over between them, holding the sister copies together through the first division, and skipping the copying step before the second.

What is observed.  The genes that run meiosis are shared across living eukaryotes.  Marilee Ramesh, Shehre-Banoo Malik and John Logsdon found a core set of them, including five used only in meiosis, in the parasite Giardia, which had never been seen to have sex.63  A wider survey in 2008 found 27 of 29 such genes in Trichomonas vaginalis:  "Although meiosis has not been observed in T. vaginalis, our findings suggest it is either currently sexual or a recent asexual."64  One key meiotic enzyme, Spo11, which makes the deliberate breaks, is related to a topoisomerase found in archaea.65  Some archaea fuse and exchange DNA:  the salt-loving Haloferax forms cells "containing the full genetic repertoire of both parental cells,"66 and Sulfolobus swaps DNA between cells when damaged by ultraviolet light.67  Neither halves its chromosome number in a controlled division.

What is inferred.  From the shared genes, Malik's group concludes that each one "also must have been present in the common ancestor of all eukaryotes."64  That inference depends on common descent:  genes shared across lineages that branch deep in the tree are taken as inherited from their common ancestor.  On that reading, meiosis was already complete in the last eukaryotic common ancestor, the same ancestor the endosymbiosis article shows was already complex.  Dave Speijer, Julius Lukeš and Marek Eliáš call sex "ubiquitous, ancient, and inherent," while admitting that "entire protist lineages cannot be considered sexual with any certainty yet."68  The oldest fossil taken to be a sexual organism is the red alga Bangiomorpha, whose separate spore and gamete forms suggest sex;69 its age was revised in 2018 to about 1.05 billion years by the conventional timescale.70  The fossil shows a finished sexual organism, not a stage on the way to one.

What is proposed.  Four published accounts of the first steps disagree about which came first.

  1. Adam Wilkins and Robin Holliday propose that meiosis came from ordinary division, and that the first new step was pairing of matching chromosomes, which at first served to limit crossing over, not to promote it. They begin by saying the origins of meiosis "have never been satisfactorily explained," and end by admitting "There is, of course, no direct way to test the basic hypothesis presented here since the cells in which meiosis first originated existed well over 1 billion years ago."8
  2. Thomas Cavalier-Smith proposed that meiosis arose to correct accidental doubling of chromosome sets, by a change that delayed the splitting of the chromosomes' attachment points. He wrote that the link his model needs "has not yet been demonstrated," and that if it exists, "meiosis could have originated by a single key change."71
  3. Harris Bernstein, Richard Michod and others proposed that meiosis grew out of DNA repair, the recombination bacteria use to fix broken chromosomes.72 Elvira Hörandl and Speijer tie it to damage from oxygen made by the new mitochondria, and call their own version "much debated and not yet (?) universally accepted."73
  4. Thomas Lenormand and colleagues review all of these. They call the gradual origin of meiosis "among the most intriguing evolutionary enigmas," and object to the repair account that "prokaryotes (including archaea) have efficient repair mechanisms that involve recombination, but not meiosis."7

What is missing.  No living organism has a partial meiosis that looks like an ancestral stage.  Protists show many variants of meiosis, but every lineage that has one has the full core machinery or has lost parts of it.  No laboratory has evolved any step of meiosis.  The proposed steps are ordered differently by different authors, and none of the authors claims a demonstration.

The creationist claim, tested.  F. LaGard Smith says natural selection "could not possibly have evolved even the most elementary form of sex by meiosis."  Jonathan Sarfati of Creation Ministries International argues that "simply having advantages doesn't remotely explain how they could be built from scratch," because "The hypothetical transitional forms would be highly disadvantageous."14  The first half of this is right.  No pathway is demonstrated, and the mainstream authors say so in their own words.  The second half is a claim no one has shown.  No creationist source found here computes the fitness of any proposed intermediate, and the archaeal cases show that cell fusion and DNA exchange can exist without a two-sex system or a reduction division.  "Impossible" is not established.  "Undemonstrated" is.

Part 8: How males and females began

The creationist claim.  The most common young-earth argument about sex is about the two sexes.  Brown says the "complementary reproductive systems of the male and female" had to evolve together, since "just a slight incompleteness in only one of the two at any stage would make both reproductive systems useless."  Gitt says sex "is only possible when both sexes have fully functional reproductive organs at the same time."  Don Batten of Creation Ministries International asks how chemistry could "invent the complementary apparatuses needed at the same time," since "non-intelligent processes cannot plan for future coordination of male and female organs."74  The argument goes back at least to William Stroud in Creation Research Society Quarterly in 1970, who wrote that unless the male and female systems "arose simultaneously from a population that heretofore was reproducing asexually, then there was no copulation, no progeny, no evolution."75

Sex does not need males and females.  Many single-celled eukaryotes that have sex do it with sex cells of equal size.  The alga Chlamydomonas has two mating types, plus and minus, which look alike and differ in a small region of one chromosome.  Two cells of opposite type fuse, and the fused cell later undergoes meiosis.  There is no egg, no sperm, no male and no female.  Maynard Smith drew the conclusion in 1978:  "the essential characteristics of eukaryotic sex, meiosis and syngamy, almost certainly were first evolved in an isogamous population," so that "when considering the origins of sexual reproduction in eukaryotes, one need not allow for a twofold disadvantage."20  So the claim that both sexes had to appear at once is not what any evolutionary account proposes.  Male and female, on that account, come after sex, not with it.

From mating types to sexes, observed.  The volvocine algae, relatives of Chlamydomonas that live as colonies, include species at every stage:  equal sex cells, unequal sex cells, and eggs and sperm in Volvox.  Sa Geng, Peter De Hoff and James Umen tested the gene MID, which makes a Chlamydomonas cell the minus type.  In Volvox the same gene now decides sex.  "Transgenic female V. carteri expressing male MID produced functional sperm packets during sexual development," and males with the gene knocked down "produced functional eggs, or self-fertile hermaphrodites."76  Takashi Hamaji and colleagues compared an isogamous and an anisogamous species that bracket the first step.  Both carry a small mating region with "only two sex-limited genes," the male MID and the female FUS1, and they concluded that "the first step to anisogamy in volvocine algae presumably occurred without an increase in MT size and complexity."77  Theory explains why unequal sex cells would be favoured once they vary in size:  Geoff Parker, Robin Baker and Vic Smith showed in 1972 that "a marked disruptive effect can be generated" that favours both very small and very large gametes.78

The limits.  The volvocine series is a set of living species, not a line of ancestors.  Reading it as a sequence assumes they share common descent.  Geng and colleagues themselves wrote that "the origins of dimorphic sexes and their relationship to mating types in unicellular species are not understood,"76 and Jussi Lehtonen and Hanna Kokko that "The historical sequence of events leading from isogamy without mating types to anisogamy with mating types is unclear."79  How mating types themselves began, and how the fusion of two cells came to be coordinated with meiosis, is part of the unanswered question of Part 7.

Verdict on this claim.  The argument that a male and a female system had to arise complete and together is wrong as a statement of what evolution requires.  Sex exists without sexes, in living organisms that can be grown in a laboratory.  In one group, a single mating-type gene now controls sperm and egg, and moving it switches a female to making sperm.  This does not show how the volvocine sexes arose step by step, and it says nothing about animals, whose sex-determining systems are different and vary widely.  But it removes the simultaneity premise on which the creationist argument rests.

Part 9: How creationist writers use the scientists' own words

Creationist writing on sex leans heavily on mainstream scientists who called sex a problem.  The quotations checked here are mostly accurate.  The way they are used is often not.

Graham Bell, 1982.  "Sex is the queen of problems in evolutionary biology" is the first sentence of Bell's The Masterpiece of Nature.  Sanders quotes it with the right page, and McLatchie's epigraph reproduces the paragraph exactly.  F. LaGard Smith's version, "Queen of evolutionary problems," is a misquotation printed inside quotation marks.9  The more important point is what Bell meant.  The same paragraph ends:  "The largest and least ignorable and most obdurate of these questions is, why sex?  Or, to put this more technically, what is the functional significance of sexuality, which leads to its maintenance under natural selection in biological populations?"1  Bell's queen of problems is the persistence question.  Smith and McLatchie use it for the origin question.

George Williams, 1975.  Walt Brown quotes the first sentence of Williams's preface accurately:  "This book is written from a conviction that the prevalence of sexual reproduction in higher plants and animals is inconsistent with current evolutionary theory."  The next sentence says what the book is for:  "My purpose is to propose minimal modifications of the theory in order to account for the persistence of so seemingly maladaptive a character."80  Williams was naming a problem in order to solve it, and the problem was persistence.

John Maynard Smith, The Theory of Evolution.  McLatchie quotes Maynard Smith's conclusion that the first stages of sex arose "under the influence of selective forces quite different from those which are responsible for the maintenance and spread of sexual processes once they were erected."  The book reads "were responsible" and "perfected."81  McLatchie's two changed words match exactly the version printed in David Swift's 2002 creationist book Evolution Under the Microscope,82 which suggests the quotation was copied from Swift rather than from Maynard Smith.  The meaning survives the slip.  And the sentence itself makes the distinction this article makes:  Maynard Smith separated the origin of sex from its maintenance, and said a long-term benefit could not explain the origin.  On that point the creationist use is fair.

Carl Zimmer, 2002.  McLatchie quotes Zimmer's Evolution: The Triumph of an Idea:  sex "ought to be a recipe for evolutionary disaster," and "any group of animals that evolves sexual reproduction should be promptly outcompeted by nonsexual ones."  He ends the quotation at "Why is sex a success, despite all its disadvantages?"10  Zimmer's next sentence is the answer he goes on to give:  "Scientists have recently been gathering support for a surprising hypothesis: sex fights off parasites."83  McLatchie then argues against the parasite hypothesis without telling readers that the author he quoted had raised it in the next breath.

Experiments misdescribed.  Sanders says evolutionists "were stunned to discover a stickleback fish that was undergoing parthenogenesis and carrying unfertilized eggs."3  The paper he cites says the opposite:  "Genetic and physiological examination of the parent fish and offspring ruled out development by parthenogenesis and hermaphroditism, therefore implicating internal fertilisation by a male stickleback."84  Thomas's "four new parthenogenetic 'species'" were, in the authors' words, four lineages that together "constitute a laboratory-generated vertebrate species."85  McLatchie's account of the worm experiment turns self-fertilising worms into an asexual group, as Part 4 noted.

Fair and unfair.  It is fair to say that biologists have not agreed on why sex persists.  Hoekstra wrote in 2005 that "we are still far from a definitive answer," and Otto in 2009 that more data are needed to "settle the paradox of sex."11  It is fair to say, with Maynard Smith, Wilkins and Lenormand, that the origin of meiosis is unexplained.  It is not fair to say, as Sanders does, that the hypotheses lack "any observable evidence."  Parts 4 and 5 describe the evidence, much of it published before he wrote.  And it is not fair to quote the 1970s and 1980s statements of the problem as if no work had followed them.

Objections and responses

"Sex could not evolve gradually, because male and female had to appear together."  This is the argument of Brown, Gitt, Batten and Stroud.  It rests on the premise that sex needs two sexes.  It does not:  isogamous algae and fungi mate as equal cells of two mating types, and in the volvocine algae a single mating-type gene now controls sperm and egg (Part 8).  The argument is wrong as stated.  Its narrower form, that no one has shown how mating types and meiosis began, is right (Part 7).

"Evolutionists have no observable evidence for any hypothesis about sex."  Sanders makes this claim.  Clones replacing one another under parasite pressure in a lake, selfing worms dying under coevolving bacteria while outcrossers survive, yeast with occasional sex adapting faster and shedding harmful hitchhikers:  each is observed (Parts 4 and 5).  What is missing is evidence that any one mechanism pays the twofold cost of males in general.

"The twofold cost is a myth;  sexual and asexual females are not really equal."  A skeptic might argue that the cost is overstated.  In the one system where it was measured, the mud snail, the fitted cost was 2.14 with a confidence range from 1.81 to 2.55, and the all-else-equal assumption held at the expected sex ratio (Part 2).  In the lake it was lower in some years, and it does not apply to species without males.  Where it applies, it is about two.

"Long-term benefits like faster adaptation explain sex."  A clone with no deficit takes over a population of a million in about 20 generations.  A benefit that only shows over thousands of generations arrives too late.  This is why Maynard Smith, Williams and the modern reviews all look for immediate advantages, and why the parasite evidence matters more than the adaptation-rate evidence.

"Animals cannot change their way of reproducing, so they keep sex because they must."  Brian Thomas proposed this in 2015.  New clonal lineages arise often.  Laboratory crosses of whiptail lizards made one in a single generation, as Thomas himself reported in 2011, and clonal mud snails, water fleas and stick insects have arisen repeatedly from sexual relatives (Parts 1 and 6).  If cloning were impossible, the cost of sex would not need explaining;  it is possible, so it does.

"Asexual lineages should all be extinct if evolution is true."  The mainstream prediction is not that every clone dies at once.  It is that clones arise often, collect harmful changes faster, and mostly do not last.  The measured pattern fits:  asexual lineages are mostly young, and several carry excess amino-acid changes.  The oribatid mites are a real exception that the mainstream account has to explain (Part 6).

"Ancient asexual bdelloids show that sex is unnecessary for tens of millions of years."  A skeptic of the mutation theories might use the bdelloids this way.  The genome data now show gene conversion, foreign genes, and signs of exchange between individuals, and the authors of the first genome wrote that rare sex is not excluded.  Their age rests on amber and clocks.  The bdelloids no longer show that animals can do without any genetic exchange.

"Shared meiosis genes prove that meiosis evolved once from a common ancestor."  The genes are observed;  the common ancestor is inferred.  A young-earth biologist would read the same pattern as a shared design for a shared function, as with other conserved machinery.  That reading predicts the sharing.  It does not by itself predict why parasites such as Giardia keep meiosis genes without visible sex, which the mainstream reads as cryptic sex or recent loss.

"Genetic entropy says sex cannot stop decline, so sex is irrelevant."  Sanford's position is that sex slows decline and is designed.  That fits the measured advantages of sex over cloning in Parts 3 to 6.  Whether any population can halt decline belongs to the genetic entropy article.

"Creationists explain sex by fiat;  that is not an explanation."  The skeptic is right that no creationist source found here offers a mechanism or a testable prediction about the persistence of sex.  Sanders says both modes of reproduction were created at the beginning.  That is a statement about origin.  It does not say why clones and sexuals coexist in the same lakes and why parasites shift the balance, which is the persistence question.  On persistence the creationist side has offered critique, not a model.

Issues and unanswered questions

  1. The cost has been measured in one species. The mud snail estimates are good, but no comparable direct measurement exists for an insect, a vertebrate or a plant with separate sexes. Gibson and colleagues' lake estimates, lower than the tank estimates, show the cost can vary with how generations overlap.
  2. No mechanism has been shown to pay the twofold cost in general. The parasite evidence is strongest, and it comes from one snail and one worm. Otto and Nuismer's model says it needs strong selection per gene, and how often nature supplies that is unknown. The finite-population theory is the reviewers' favourite, and its own advocates say whether it is strong enough "is an open question."
  3. The harmful-mutation rate is uncertain where it matters. The fruit-fly and nematode figures that sink Kondrashov's hypothesis come from 2000-era divergence methods; the human figure was revised several-fold downward for protein genes and stands near 2.2 for the whole genome. Direct family-based estimates for short-lived animals with males would settle it.
  4. Epistasis is measured in sign more than in size. Sohail's human and fly result shows synergistic interaction among rare damaging mutations, but at a size far below what would pay the twofold cost on its own.
  5. The yeast results disagree on when sex helps. Goddard and Gray found benefits only under stress; Zeyl and Bell found them only in the familiar medium; McDonald found them in a benign medium. The designs differ, and no one has reconciled them.
  6. The ages of asexual lineages are clock estimates. Every "ancient" asexual is dated by molecular divergence or amber. A young-earth model needs to say how much of the observed divergence between allele copies in bdelloids it attributes to creation and how much to change since. None has done so.
  7. No intermediate stage of meiosis is known. Every proposed origin of meiosis is a scenario without a living or fossil intermediate, and the four main scenarios disagree about the order of steps. Neither side has a model of the first meiosis that makes a testable prediction.
  8. The creationist side has no model of persistence. No creationist or design source found here proposes a mechanism by which sexual populations hold off clones, or a prediction that could be tested against the snail and worm data. "Created that way" answers the origin question for a creationist; it does not answer the persistence question, which is about why the balance between clones and sexuals in a lake shifts with parasites.
  9. Sources not obtained in full. Kondrashov 1988, Lehtonen and colleagues 2012, Keightley and Otto 2006, Jokela and colleagues 2009 and Lively 2010 were read in abstract only; Salathé and colleagues' 2008 review of the Red Queen's conditions and Maynard Smith's 1971 paper on the cost were not read. None is quoted beyond its abstract.

Verdict

Why sex persists:  unfinished on both sides.  The cost of males is real and measured at about two.  Mainstream biology has shown, in particular species, that sex pays:  parasites drive clones down in a lake and kill self-fertilising worms in the laboratory, and occasional sex speeds adaptation and keeps harmful mutations from hitching a ride.  It has not shown that any of these pays the full cost of obligate sex with males across the species that have it, and its own reviewers say so.  Harmful mutations alone cannot pay it in short-lived animals, by a margin of about twentyfold.  The creationist claim that there is "no observable evidence" is wrong.  The creationist claim that the problem is unsolved is right.  And the creationist side has offered no mechanism of its own.

How meiosis began:  the creationist argument is right that it is undemonstrated.  The genes for meiosis are shared by living eukaryotes, which mainstream biology reads as inheritance from an ancestor that already had full meiosis.  Nothing living or fossil shows an earlier stage.  The four published scenarios disagree about which step came first, and their authors call the origin unexplained and untestable by direct means.  Calling it impossible goes further than the evidence:  no one has shown that the proposed intermediates would be harmful, and archaea show cell fusion and DNA exchange without meiosis.

Whether male and female had to appear together:  the creationist argument is wrong.  Sex exists without sexes, and in the volvocine algae one mating-type gene now sets sperm and egg.  How mating types and the coordination of fusion with meiosis began is part of the unanswered origin question, not evidence that both sexes had to arise at once.

The sibling articles on multicellularity and on nervous systems and animal body plans take up the transitions that follow;  sex and complex multicellularity appear together in the fossil record from Bangiomorpha onward.

Sources


  1. 1.

    Bell, Graham.  The Masterpiece of Nature: The Evolution and Genetics of Sexuality.  University of California Press.  1982.  A long monograph by a McGill evolutionary biologist that sets out the hypotheses for the maintenance of sex and tests them against the distribution of sex and parthenogenesis across living things.  Its opening sentence is the most quoted line in creationist writing on sex.

    1. 1a.

      Page 19:  “Sex is the queen of problems in evolutionary biology. Perhaps no other natural phenomenon has aroused so much interest; certainly none has sowed as much confusion.” ↩

    2. 1b.

      Page 19:  “The largest and least ignorable and most obdurate of these questions is, why sex? Or, to put this more technically, what is the functional significance of sexuality, which leads to its maintenance under natural selection in biological populations?” ↩ ↩

  2. 2.

    Hoekstra, Rolf F.  “Why sex is good.”  Nature 434:571–573.  2005.  A News and Views commentary by a Dutch evolutionary geneticist on the Goddard yeast experiment, praising its design and setting out what it does not settle.

    1. 2a.

      Page 573:  “Nonetheless, we are still far from a definitive answer to the question of why sexual reproduction is so common.” ↩

    2. 2b.

      Page 573:  “For one thing, yeast has no male-female distinction, so the twofold cost of sex does not apply, which prevents a straightforward generalization of the conclusions to most animals and plants.” ↩

  3. 3.

    Sanders, Harry F. III.  “The Origin of Sexual and Asexual Reproduction.”  Answers in Genesis.  Apr 18, 2019.  A survey article by an Answers in Genesis writer.  It describes the kinds of sexual and asexual reproduction, reviews four evolutionary hypotheses for sex and rejects each, and argues that both modes were created at the beginning.  It cites Bell 1982 for the "queen of problems" and Neiman, Meirmans and Meirmans 2009 on ancient asexuals.

    1. 3a.

      Section second-to-last section, and conclusion:  “Based on this, asexual reproduction would appear to be the way to go.”  “This argument has multiple issues, including lacking a mechanism. For this to work, the host would need to undergo radical genetic changes to produce radically different physical structures.”  “Ultimately, none of them have any observable evidence to back them up. To make matters worse, asexual lineages should be going extinct in the evolutionary paradigm”. ↩ ↩

    2. 3b.

      Section conclusion:  “There is no reason to believe both sexual and asexual lineages were not created in those verses, placing the origin of all modes of reproduction at the very beginning of the creation.” ↩

    3. 3c.

      “evolutionists were stunned to discover a stickleback fish that was undergoing parthenogenesis and carrying unfertilized eggs”. ↩

  4. 4.

    Keightley, Peter D., and Adam Eyre-Walker.  “Deleterious Mutations and the Evolution of Sex.”  Science 290(5490):331–333.  2000.  A comparative genomic test of Kondrashov's hypothesis by two population geneticists.  It estimates the rate of harmful mutation in protein-coding genes for nine pairs of animal species from their divergence, and finds the rate per generation rises with generation time, falling far below one in short-lived animals.  Its gene counts predate the human genome sequence, which roughly quarters the vertebrate figures.

    1. 4a.

      Paragraph 2:  “Sexuals accumulate fewer deleterious mutations because they avoid Muller's ratchet ( 2 ), but the ratchet is unlikely to maintain obligate sexuality, since it operates very slowly in large populations and can be avoided with very little sex.” ↩

    2. 4b.

      Section abstract:  “If rates of deleterious mutation per diploid genome per generation (U) exceed 1, and mutations interact synergistically, then sexuals can overcome their inherent twofold disadvantage.”  Paragraph 2:  “This is a minimum condition, since U needs to be rather greater than 1 if stochastic factors are taken into account”. ↩

    3. 4c.

      Table 1:  U per generation:  human/chimpanzee 3.0, macaque/New World monkey 1.9, dog/cat 1.6, sheep/cow 0.90, mouse/rat 0.50, chicken/quail 0.49, and the three Drosophila pairs 0.071, 0.058 and 0.070.  The table assumes 80,000 genes for vertebrates and 13,600 for insects, and divergence times from fossils or calibrated clocks. ↩

    4. 4d.

      Paragraph 5:  “However, many obligate sexuals have generation times on the order of 1 month or less [e.g., many insects ( 16 ), copepods ( 17 ), and nematodes ( 18 )], implying deleterious amino acid mutation rates of the order of 0.05, some 20 times lower than the MD hypothesis requires.”  Paragraph last:  “However, based on our deleterious mutation rate estimates, the hypothesis is not supported as a general mechanism.”  MD is the mutational deterministic hypothesis.  The 0.8 for the whole fruit-fly genome is from the paragraph on noncoding DNA. ↩ ↩

  5. 5.

    Otto, Sarah P., and Scott L. Nuismer.  “Species Interactions and the Evolution of Sex.”  Science 304(5673):1018–1020.  2004.  A population-genetic model of the Red Queen across 13,608 combinations of selection strength, recombination, mortality and seven kinds of species interaction.  It includes no cost of sex, and the authors note that adding one would only shrink the conditions favouring sex.

    1. 5a.

      Page 1018:  “Our results show that species interactions typically select against sex. We conclude that, although the Red Queen favors sex under certain circumstances, it alone does not account for the ubiquity of sex.” ↩ ↩

    2. 5b.

      Page 1020:  “These results show that, when a species must constantly evolve to stay abreast of surrounding species, the Red Queen does not maintain high amounts of sex and recombination unless species interactions induce strong selection per locus.” ↩

  6. 6.

    Thomas, Brian.  “Why Do Animals Use Sexual Reproduction?”  Institute for Creation Research.  May 28, 2015.  A news commentary by an ICR science writer on Lumley and colleagues' 2015 flour-beetle experiment.  It accepts that the beetles show a benefit of sexual selection and argues that the deeper reason animals keep reproducing sexually is that their reproductive system cannot change.

    1. 6a.

      “Perhaps the reason why these beetles keep on reproducing sexually is not because of the nice benefits of staving off extinction to a future date, but simply because they have no other way to do it!” ↩ ↩

  7. 7.

    Lenormand, Thomas et al.  “Evolutionary mysteries in meiosis.”  Philosophical Transactions of the Royal Society B 371:20160001.  2016.  A review of the features of meiosis whose origin and function are unexplained, introducing a themed issue.  It sets out the rival hypotheses for each step and the objections to each.

    1. 7a.

      Page 1:  “The origin of meiosis through gradual steps is among the most intriguing evolutionary enigmas”.  Page 2:  “This scenario presupposes that DNA maintenance is inefficient in the absence of meiosis; however, prokaryotes (including archaea) have efficient repair mechanisms that involve recombination, but not meiosis”. ↩ ↩

  8. 8.

    Wilkins, Adam S., and Robin Holliday.  “The Evolution of Meiosis From Mitosis.”  Genetics 181(1):3–12.  2009.  A Perspectives essay by a developmental geneticist and the discoverer of the Holliday junction, proposing that meiosis evolved from ordinary cell division with chromosome pairing as its first new step.  It presents no data and says the hypothesis cannot be tested directly.  Mirror:  PMC

    1. 8a.

      Page 3:  “origins of meiosis in early eukaryotic history have never been satisfactorily explained.”  Page 9:  “There is, of course, no direct way to test the basic hypothesis presented here since the cells in which meiosis first originated existed well over 1 billion years ago”. ↩ ↩

  9. 9.

    Smith, F. LaGard.  “Top 3 reasons why the popular evolution story is a myth.”  The Christian Post.  May 17, 2018.  An opinion piece by the author of Darwin's Secret Sex Problem (WestBow, 2018), summarising the book's three arguments against an evolutionary origin of sex.

    1. 9a.

      Paragraph problems 2 and 3:  “Natural selection could not possibly have evolved even the most elementary form of sex by meiosis”.  “Natural selection could not possibly have provided simultaneous, on-time delivery of the first sexually-compatible pair of any species”. ↩

    2. 9b.

      Paragraph after the three problems:  “Taken together, the first two problems are quietly acknowledged by evolutionists to be the "Queen of evolutionary problems" for which, despite their best efforts, they have no answers.” ↩ ↩

  10. 10.

    McLatchie, Jonathan.  “Sex, the Queen of Problems in Evolutionary Biology.”  Science and Culture Today (Discovery Institute).  Jul 13, 2011.  A blog essay by an intelligent-design writer.  It sets out the costs of sex, quotes Bell, Zimmer and Maynard Smith, and argues that neither the origin nor the maintenance of sex is explained by Darwinian evolution.  Mirror:  Evolutionnews.org

    1. 10a.

      “The problems which I outlined above are potent short-term disadvantages which should have mitigated against sexual reproduction evolving in the first place!” ↩

    2. 10b.

      “Sex is not only unnecessary, but it ought to be a recipe for evolutionary disaster.”  “By all rights, any group of animals that evolves sexual reproduction should be promptly outcompeted by nonsexual ones. And yet sex reigns… Why is sex a success, despite all its disadvantages?” ↩ ↩

  11. 11.

    Otto, Sarah P.  “The Evolutionary Enigma of Sex.”  The American Naturalist 174(S1):S1–S14.  2009.  A review by a leading theorist of the evolution of sex, opening a symposium issue.  It explains why early models failed, sets out the conditions under which recent models favour sex, and lists the data still missing.  Mirror:  Zoology.ubc.ca

    1. 11a.

      Page S10:  “An open question is whether the drift-based explanation is strong enough to account for the evolution of sex in the face of substantial costs of sex.”  The sentence runs from the foot of p. S10 onto p. S11. ↩

    2. 11b.

      Page S11:  “It remains to be demonstrated but seems plausible that high levels of sex could evolve, given a combination of selective forces acting across the genome, even in the face of substantial costs of sex.” ↩

    3. 11c.

      Page S11:  “modifiers causing the frequency of sex to rise to higher levels (fig. 5, right) did not spread unless costs were much less than twofold.” ↩

    4. 11d.

      Page S11:  “This empirical data, alongside the evolutionary theory that has been developed, will provide us with the solid foundation needed to settle the paradox of sex.” ↩ ↩

  12. 12.

    Brown, Walter T.  In the Beginning: Compelling Evidence for Creation and the Flood.  Center for Scientific Creation.  8th edition.  2008.  A young-earth book by a retired engineer and creationist author, arranged as short numbered arguments with endnotes.  Section 37, "Sexual Reproduction," argues that the two sexes could not have evolved step by step, and quotes several scientists on the difficulty of explaining sex.

    1. 12a.

      Page 20:  “The amazingly complex, radically different, yet complementary reproductive systems of the male and female must have completely and independently evolved at each stage about the same time and place. Just a slight incompleteness in only one of the two at any stage would make both reproductive systems useless, and the organism would become extinct.”  Item a of section 37. ↩

  13. 13.

    Gitt, Werner.  “2.3 The Origin of the Sexes (OB3).”  Answers in Genesis.  Jun 14, 2012.  A short chapter by a German information scientist and creationist writer, from his book Did God Use Evolution?, posted by Answers in Genesis.  It sets the evolutionary claim beside "scientific objections" and a biblical answer.

    1. 13a.

      Section Scientific Objections:  “Sexual reproduction is only possible when both sexes have fully functional reproductive organs at the same time.” ↩

  14. 14.

    Sarfati, Jonathan.  “Refuting Evolution 2—Chapter 11: Argument: Evolution of sex.”  Creation Ministries International.  Feb 9, 2006.  A chapter of a young-earth book by a physical chemist on CMI's staff, answering the PBS series Evolution.  It accepts that sex has advantages once it exists, and argues that advantage cannot explain its origin because the intermediate stages would be harmful.

    1. 14a.

      Section Advantage doesn't explain origin!:  “But simply having advantages doesn't remotely explain how they could be built from scratch. The hypothetical transitional forms would be highly disadvantageous, so natural selection would work against them.” ↩ ↩

  15. 15.

    Bergman, Jerry.  “Finally, a book on sex from a creation worldview.”  Journal of Creation 34(2):21–24.  2020.  A review of Smith's Darwin's Secret Sex Problem by a creationist biologist and prolific writer for creationist journals.  It endorses Smith's claim that the gap between asexual and sexual reproduction cannot be bridged by evolution.

    1. 15a.

      Paragraph 1:  “This is the only book I am aware of that covers in detail the widely acknowledged problem of the evolutionary origin of sexual reproduction”. ↩

  16. 16.

    Henry, Hugh, and Daniel J. Dyke.  “Sexual Reproduction Challenges Evolution, Affirms Creation.”  Reasons to Believe.  Oct 5, 2018.  An essay from an old-earth creationist ministry.  It separates the origin of sex from its maintenance, quotes reviews by Kondrashov and by Hartfield and Keightley, and answers both questions with the Genesis account rather than a mechanism.

    1. 16a.

      “The real question may be how do we keep sexual reproduction”.  “From the point of view of natural selection, there is no benefit to sexual reproduction.” ↩

  17. 17.

    Lightner, Jean K.  “Meiotic recombination—designed for inducing genomic change.”  Journal of Creation 27(1):7–10.  2013.  A short perspective by a young-earth veterinarian and creation researcher.  It argues that the gene conversion and mutation that happen during meiotic recombination are designed sources of variation within created kinds.  It does not discuss the cost of sex or its origin.

    1. 17a.

      Page 8:  “God designed meiosis in a way that naturally tends to increase diversity.” ↩

  18. 18.

    Sanford, John C.  Genetic Entropy.  FMS Publications.  4th edition.  2014.  A book by a Cornell plant geneticist turned creationist, arguing that harmful mutations accumulate faster than selection removes them in every species, so that genomes are degenerating.  It treats sex and recombination as slowing that decline without stopping it.

    1. 18a.

      Page 126:  “An unspoken theme of this book is that what is already known for clonal populations also applies to sexual populations.”  Page 127:  “The reason there are still many populations of clonal plants (and some animals), appears to reflect the fact that there has not yet been enough time for such populations to degenerate to the point of extinction.” ↩

  19. 19.

    Thomas, Brian.  “Self-Cloning Lizards Fit for Survival.”  Institute for Creation Research.  May 25, 2011.  A news commentary by an ICR science writer on a 2011 PNAS report of new parthenogenetic whiptail lizards made by laboratory hybridisation.  It credits the ability to switch to cloning to designed "internal programming."

    1. 19a.

      “The study produced four new parthenogenetic "species"”.  “It would make sense that a Creator would have endowed these egg-laying vertebrates with the potential to perpetuate themselves even in the event that a male was unavailable.” ↩

  20. 20.

    Maynard Smith, John.  The Evolution of Sex.  Cambridge University Press.  1978.  A monograph by one of the founders of evolutionary game theory, and the standard statement of why sex is a problem.  It sets out the twofold cost, the conditions under which it applies, and the main hypotheses for the maintenance of sex, several tested with his own simulations.

    1. 20a.

      Page 3:  “Hence, in one generation, the proportion of parthenogenetic females increases from n/(2N+n) to n/(N+n); when n is small, this is a doubling in each generation.”  N is the number of sexual females and n the number of parthenogenetic females. ↩

    2. 20b.

      Page 3:  “But I believe that the twofold advantage of parthenogenesis is best seen as the advantage of not producing males.” ↩

    3. 20c.

      Page 38:  “The argument holds, of course, only if other things are equal; that is, so long as there are not genetic differences affecting fitness between sexual and asexual females.” ↩

    4. 20d.

      Page 57:  “If parthenogenetic and sexual methods of reproduction coexist in the same population, then there must be some immediate advantage to sexual reproduction to counterbalance its twofold disadvantage.” ↩

    5. 20e.

      Page 42:  “In conclusion, the twofold advantage of parthenogenesis does not apply to isogamous species, or to monogamous species with paternal care of the young.” ↩

    6. 20f.

      Page 39:  “The main importance of this is that the essential characteristics of eukaryotic sex, meiosis and syngamy, almost certainly were first evolved in an isogamous population.”  “It follows that, when considering the origins of sexual reproduction in eukaryotes, one need not allow for a twofold disadvantage.” ↩

  21. 21.

    A clone whose females are as fit as sexual females, but make no sons, doubles its odds against the sexual population every generation.  Starting from one clone in a population of N, its odds go from 1/(N−1) to 1 (half the population) in ln(N−1)/ln 2 generations:  13 for ten thousand, 20 for a million, 30 for a billion.  If the clone's females are less fit by a fraction d, the factor is 2(1−d) instead of 2:  at d = 0.3 the times become 27, 41 and 62 generations.  Computed in this article's research/cost-arithmetic.ts. ↩

  22. 22.

    Gibson, Amanda K. et al.  “The two-fold cost of sex: Experimental evidence from a natural system.”  Evolution Letters 1(1):6–15.  2017.  A field experiment, the first direct measurement of the cost of sex in a natural population.  Snails from Lake Alexandrina, New Zealand, with sexual and clonal females mixed, were raised for one generation in six outdoor tanks a year for four years, and the change in the clonal share was fitted to Maynard Smith's model.  The estimated cost was about two.  Mirror:  PMC

    1. 22a.

      Page 10:  “The frequency of asexuals increased 1.60-fold (95% CI [1.48, 1.73]) from an initial frequency of 29% in the parental generation”. ↩

    2. 22b.

      Page 12:  “The likelihood of model 3 was maximized at a cost of sex that slightly exceeds two (c = 2.14, 95% CI [1.81, 2.55])”. ↩

    3. 22c.

      Page 13:  “consistent with the all-else-equal assumption”.  Said of the fitted ratio of clonal to sexual fecundity and survival when the sex ratio is set at one half.  At the observed sex ratio of 0.61 the clonal mothers came out somewhat more fecund, which the authors tie to larger clonal broods. ↩

  23. 23.

    Gibson, Amanda K. et al.  “Periodic, parasite-mediated selection for and against sex.”  The American Naturalist 192(5):537–551.  2018.  A combined field survey (Lake Alexandrina, 2001 to 2016) and tank experiment on the mud snail.  Tanks dosed with parasite eggs were compared with controls over one generation in each of four years, and the lake's clonal share and infection rates were followed for fifteen years.  It found that parasites raised the cost of sex in the short run, while over a decade the clones declined as they became more heavily infected.  Mirror:  PMC

    1. 23a.

      Section author manuscript p. 15:  “in the semi-natural mesocosms, sexuals paid both the two-fold cost of sex and the cost of higher infection prevalence”.  Locators are the author manuscript's page numbers.  The fitted costs, 2.18 for controls and 3.15 with parasites, are on p. 13. ↩

    2. 23b.

      Section author manuscript p. 14:  “1.98 in 2012, 1.47 in 2013, 0.81 in 2014, and 1.39 in 2015”. ↩

    3. 23c.

      Section abstract:  “In the early 2000's, asexuals were more infected than sexuals. A decade later, the asexuals had declined in frequency and were less infected than sexuals.” ↩

  24. 24.

    Lehtonen, Jussi et al.  “The many costs of sex.”  Trends in Ecology & Evolution 27(3):172–178.  2012.  A review by three evolutionary ecologists of the costs of sex other than the cost of males:  genome dilution, mate search, conflict between the sexes and others.  It argues that the size of the cost, and therefore the size of the benefit sex needs, varies between species.

    1. 24a.

      Section abstract:  “what is the source of the twofold cost: males, genome dilution or both? Does the cost deviate from twofold? What other factors make sex costly?” ↩

  25. 25.

    Felsenstein, Joseph.  “The Evolutionary Advantage of Recombination.”  Genetics 78(2):737–756.  1974.  A theory paper by a leading population geneticist that compares the explanations for the advantage of recombination, simulates Muller's ratchet, and names the Hill–Robertson effect.  It concludes that the ratchet may be a major reason for recombination but does not predict its size.  Mirror:  PMC

    1. 25a.

      Page 746:  “an asexual population incorporates a kind of ratchet mechanism, such as it can never get to contain, in any of its lines, a load of mutation smaller than that already existing in its at present least-loaded lines.”  Felsenstein quoting Muller's 1964 paper in Mutation Research.  Later authors often print "such that" and "mutations"; this is Felsenstein's text. ↩

  26. 26.

    Gordo, Isabel, and Brian Charlesworth.  “The degeneration of asexual haploid populations and the speed of Muller's ratchet.”  Genetics 154(3):1379–1387.  2000.  A theory and simulation paper on how fast Muller's ratchet turns in large asexual populations.  It builds on Haigh's 1978 result for the size of the least-loaded class.  Mirror:  PMC

    1. 26a.

      Page 1379:  “the number of individuals free of mutations (the best or "least-loaded" class) in a large population of N breeding adults, is n0 = N exp(−u/s)”.  Gordo and Charlesworth attribute the result to Haigh 1978.  Here u is the mutation rate per haploid genome and s the selection coefficient per mutation. ↩

    2. 26b.

      Page 1379:  “Haigh (1978) suggested that the most important parameter for the ratchet mechanism would be n0, because it is the loss of the best class that drives the process; the smaller the n0, the faster the ratchet is likely to be.” ↩

  27. 27.

    With n0 = N e^(−U/s), N = 1,000,000 and s = 0.01, Andersson and Hughes's genomic rates of U = 0.0014 to 0.0072 give n0 between about 490,000 and 870,000.  At U = 0.1 and s = 0.01 the class falls to about 45 individuals, and the ratchet can turn.  At N = 10,000 and the same rates it falls below one, and the ratchet turns fast.  The value s = 0.01 is chosen for illustration, not taken from a measurement.  Computed in research/cost-arithmetic.ts. ↩

  28. 28.

    Andersson, Dan I., and Diarmaid Hughes.  “Muller's ratchet decreases fitness of a DNA-based microbe.”  Proceedings of the National Academy of Sciences 93(2):906–907.  1996.  A laboratory test of Muller's ratchet in the bacterium Salmonella typhimurium.  444 lines were each passed through single-cell bottlenecks for about 1,700 generations, and slow-growing lines were counted.  The authors estimate the genomic mutation rate at 0.0014 to 0.0072 per generation.  Mirror:  PMC

    1. 28a.

      Page 907:  “We can conclude that 5 of 444 lineages (1%) suffered a significant loss of fitness after 1700 generations. These results suggest that Muller's ratchet indeed operates at a significant rate in bacteria”. ↩

  29. 29.

    Chao, Lin.  “Fitness of RNA virus decreased by Muller's ratchet.”  Nature 348:454–455.  1990.  A laboratory test of the ratchet in the bacteriophage φ6, an RNA virus with a high mutation rate, using repeated single-virus bottlenecks.  It was the first demonstration of the ratchet outside ciliates.

    1. 29a.

      Section abstract:  “report here a significant decrease in fitness due to Muller's ratchet in 20 lineages of the RNA bacteriophage phi 6”. ↩

  30. 30.

    Zeyl, Clifford et al.  “Mutational meltdown in laboratory yeast populations.”  Evolution 55(5):909–917.  2001.  A laboratory experiment with 12 replicate yeast populations from each of two strains whose mutation rates differ about a hundredfold, kept at an effective size near 250 for about 2,900 generations.  Two populations went extinct, both from the high-mutation strain.

    1. 30a.

      Section abstract:  “Through 175 daily transfers and approximately 2900 generations, two extinctions occurred, both in populations with elevated mutation rates.” ↩

  31. 31.

    Kondrashov, Alexey S.  “Deleterious mutations and the evolution of sexual reproduction.”  Nature 336:435–440.  1988.  A theory paper proposing that sex is maintained because it lets selection remove harmful mutations more efficiently when the genomic mutation rate is high.  The basis of what later writers call the mutational deterministic hypothesis.

    1. 31a.

      Section abstract:  “If the deleterious mutation rate per genome per generation is greater than 1, then the greater efficiency of selection against these mutations in sexual populations may be responsible for the evolution of sex”. ↩

  32. 32.

    Kimura, Motoo, and Takeo Maruyama.  “The mutational load with epistatic gene interactions in fitness.”  Genetics 54(6):1337–1351.  1966.  A theory paper by two founders of neutral and nearly neutral population genetics.  It works out the load of harmful mutations when they interact, for sexual and for asexual populations, and shows that interaction lowers the load only when there is recombination.  Mirror:  PMC

    1. 32a.

      Page 1343:  “The above treatment shows that under asexual reproduction, epistasis has no effect in reducing the mutational load.”  Equation 3.3 on the same page gives mean fitness W0 e^(−2M), where 2M is the number of new mutations per individual per generation, written U in this article. ↩

  33. 33.

    A clone's mean fitness at equilibrium is e^(−U) times that of its best class (Kimura and Maruyama 1966, equation 3.3), and its best class can be no fitter than a mutation-free genome.  A sexual population's mean fitness can also be no higher than that of a mutation-free genome.  So the ratio of sexual to clonal mean fitness at equilibrium is at most e^U.  Setting e^U = 2 gives U = ln 2 = 0.693.  At U = 0.1 the ceiling is 1.11, at 0.5 it is 1.65, and at 2.2 it is 9.0.  The bound ignores the time a new clone takes to reach equilibrium, which makes the real condition stricter, not looser.  Computed in research/cost-arithmetic.ts. ↩

  34. 34.

    Keightley, Peter D.  “Rates and Fitness Consequences of New Mutations in Humans.”  Genetics 190(2):295–304.  2012.  A review of human mutation rates by the same author, after direct measurement of the per-site rate in families.  It recomputes the human rate of harmful mutation with the real gene count and the lower measured mutation rate.  Mirror:  PMC

    1. 34a.

      Section The Human Genomic Deleterious Mutation Rate:  “This is 2–10 times lower than previous estimates”.  “this leads to an estimate for U of ∼2.2.”  The protein-coding rate he computes is about 0.35 per diploid genome per generation.  The whole-genome 2.2 uses the fraction of the genome constrained in the human–chimpanzee comparison. ↩

  35. 35.

    Elena, Santiago F., and Richard E. Lenski.  “Test of synergistic interactions among deleterious mutations in bacteria.”  Nature 390:395–398.  1997.  A laboratory test, from Lenski's long-term evolution group, of whether harmful mutations in E. coli interact synergistically.  225 strains carrying one, two or three insertion mutations were measured for fitness.

    1. 35a.

      Section abstract:  “Several pairs exhibit significant interactions for fitness, but they are antagonistic as often as they are synergistic. These results do not support the mutational deterministic hypothesis for the evolution of sex.” ↩

  36. 36.

    Kouyos, Roger D. et al.  “Epistasis between deleterious mutations and the evolution of recombination.”  Trends in Ecology & Evolution 22(6):308–315.  2007.  A review of the experimental and theoretical tests of the mutational deterministic hypothesis.  It concludes that the needed epistasis is uncommon in experiments and too weak in models to matter beside drift and selection.

    1. 36a.

      Section abstract:  “Experimental evidence suggests that negative epistasis, required by the MDH, is relatively uncommon.” ↩

  37. 37.

    Sohail, Mashaal et al.  “Negative selection in humans and fruit flies involves synergistic epistasis.”  Science 356(6337):539–542.  2017.  A genome survey of rare gene-breaking mutations in several human cohorts and in fruit flies.  It found individuals carry fewer such mutations, and more evenly, than independent effects predict, the signature of synergistic epistasis.  The effect size is small.  Mirror:  PMC

    1. 37a.

      Section abstract:  “Thus, selection against rare protein-disrupting alleles is characterized by synergistic epistasis, which may explain how human and fly populations persist despite high genomic mutation rates.” ↩

  38. 38.

    Keightley, Peter D., and Sarah P. Otto.  “Interference among deleterious mutations favours sex and recombination in finite populations.”  Nature 443:89–92.  2006.  A simulation study showing that, in finite populations, harmful mutations at many sites interfere with selection and so favour genes for sex and recombination, more strongly in larger populations and regardless of how the mutations interact.

    1. 38a.

      Section abstract:  “background selection against deleterious mutant alleles provides a stochastic advantage to sex and recombination that increases with population size.” ↩

  39. 39.

    Lively, Curtis M.  “Evidence from a New Zealand snail for the maintenance of sex by parasitism.”  Nature 328:519–521.  1987.  A field survey of the mud snail Potamopyrgus antipodarum at 22 lakes and 29 streams, comparing the share of males in each population with habitat and with infection by trematode worms.  It was the first field evidence linking sex to parasites, and it is correlational.

    1. 39a.

      Page 521:  “These results suggest a role for trematodes, especially Microphallus, in the maintenance of sex in P. antipodarum, but they are not conclusive by themselves.”  “In conclusion, the Red Queen hypothesis is the best supported of the hypotheses considered here, because of the positive correlations between the sex ratio of the snail and infection by trematodes both within and between habitats.” ↩

  40. 40.

    Jokela, Jukka et al.  “The maintenance of sex, clonal dynamics, and host-parasite coevolution in a mixed population of sexual and asexual snails.”  The American Naturalist 174(S1):S43–S53.  2009.  A long-term field study of one mixed population of sexual and clonal mud snails, following which clones were common and how infected they were over 7 to 10 years.  It is the first direct test of the Red Queen's prediction in competing sexual and asexual lineages in nature.

    1. 40a.

      Section abstract:  “We found that, within 7-10 years, the most common clones were almost completely replaced by initially rare clones in two different habitats, while sexuals persisted throughout the study period.” ↩

  41. 41.

    Morran, Levi T. et al.  “Running with the Red Queen: host-parasite coevolution selects for biparental sex.”  Science 333(6039):216–218.  2011.  A laboratory evolution experiment with the nematode Caenorhabditis elegans, comparing populations forced to self, forced to outcross, or free to do either, under no pathogen, a fixed pathogen, or a coevolving pathogen, for about 30 generations.  Page numbers are those of the author manuscript.  Mirror:  PMC

    1. 41a.

      Section author manuscript p. 3:  “In the coevolution treatment, all of the obligately selfing populations became extinct within twenty generations (Fig S1).”  “Over the first eight generations of the experiment, outcrossing rates increased from 20% to over 70% in both the evolution and coevolution treatments”.  “all of the obligately outcrossing and wildtype populations persisted throughout the experiment in all three treatment types (Fig S1).” ↩

    2. 41b.

      Section author manuscript p. 4:  “Taken together, the results demonstrate that sex can facilitate adaptation to novel environments, but the long-term maintenance of sex requires that the novelty does not wear off.” ↩

  42. 42.

    Morran, Levi T. et al.  “Mutation load and rapid adaptation favour outcrossing over self-fertilization.”  Nature 462:350–352.  2009.  A laboratory evolution experiment with C. elegans populations fixed for selfing, fixed for outcrossing, or free, under raised mutation rates and under a pathogen, for 40 to 50 generations.  Outcrossers paid the cost of males every generation and still gained fitness faster.  Page numbers are those of the author manuscript.  Mirror:  PMC

    1. 42a.

      Section author manuscript p. 3:  “Despite strong selection against deleterious mutations, obligate selfing populations fixed significantly more mutations than did the obligate outcrossing populations”. ↩

  43. 43.

    McLatchie, Jonathan, and Andrew McDermott.  “Sex: A Spicy Problem for Evolutionary Theory.”  ID the Future (Discovery Institute podcast), episode 1850.  Jan 2024.  A podcast interview with an intelligent-design writer, revisiting his 2011 essay.  He accepts that parasites can favour sex once it exists and argues that this does not explain how sex arose.  Quoted from the published automatic transcript.

    1. 43a.

      At 00:08:45:  “it was discovered that the population itself fertilized were driven to extinction, whereas the sexually reproducing organisms were not.” ↩

  44. 44.

    Lively, Curtis M.  “A Review of Red Queen Models for the Persistence of Obligate Sexual Reproduction.”  Journal of Heredity 101(S1):S13–S20.  2010.  A history of Red Queen models by the field's leading experimental advocate, tracing how theoretical support for the parasite hypothesis has risen and fallen since the 1980s.

    1. 44a.

      Section abstract:  “Thus began an oscillation of opinion regarding the role of parasites in selection for sex.” ↩

  45. 45.

    Goddard, Matthew R. et al.  “Sex increases the efficacy of natural selection in experimental yeast populations.”  Nature 434:636–640.  2005.  A laboratory evolution experiment with eight sexual and eight asexual yeast populations, the asexual strain lacking two meiosis genes, kept in a benign and a harsh environment with periodic sporulation.  Sex sped adaptation in the harsh environment only.

    1. 45a.

      Page 638:  “In the asexual lines, relative fitness increased from 0 to 0.59, whereas for the sexual lines the increase was from 0 to 0.68. These figures are equivalent to increases in population growth rate of 80% and 94%, respectively.”  “The difference in fitness between the sexual and asexual populations after 100 generations, and indeed throughout most of the experiment, is about 0.1.”  “Thus in the 25 mitotic generations between episodes of sex in our experiments, a sexual individual could expect to leave about 12-fold”.  Relative fitness is defined on the same page as the natural logarithm of growth rate relative to the ancestor.  The printed sentence ends with the expression e^(0.1×25), which the scan renders poorly. ↩

  46. 46.

    Gray, Jeremy C., and Matthew R. Goddard.  “Sex enhances adaptation by unlinking beneficial from detrimental mutations in experimental yeast populations.”  BMC Evolutionary Biology 12:43.  2012.  A two-by-two yeast experiment, sexual or asexual crossed with normal or raised mutation rate, run for about 300 generations with eleven rounds of sex in a permissive and a stressful environment.  Mirror:  PMC

    1. 46a.

      Page 1:  “Sex provided no advantage in the permissive environment where beneficial mutations were rare.”  “However, in the stressful environment, where detrimental mutations were likely of more consequence, and where beneficial mutations were apparent, sex provided an advantage.” ↩

  47. 47.

    Zeyl, Clifford, and Graham Bell.  “The advantage of sex in evolving yeast populations.”  Nature 388:465–468.  1997.  A yeast experiment comparing sexual and asexual populations kept on glucose or galactose for 400 to 600 generations, with eight sexual cycles.  Sex raised fitness in the familiar medium, glucose, and not in the new one, which the authors attribute to the purging of harmful mutations.

    1. 47a.

      Page 465:  Abstract and first results paragraph.  The abstract reports that sex increased mean fitness in the environment to which the populations were already adapted and not in the one to which new adaptation occurred. ↩

  48. 48.

    McDonald, Michael J. et al.  “Sex speeds adaptation by altering the dynamics of molecular evolution.”  Nature 531:233–236.  2016.  A yeast experiment in which six sexual and twelve asexual populations evolved for about 1,000 generations with sex induced every 90 generations, and whole populations were sequenced to follow which mutations rose and fixed.  Page numbers are those of the author manuscript.  Mirror:  PMC

    1. 48a.

      Section author manuscript p. 2:  “We induced sex every 90 generations.”  Section author manuscript p. 3:  “Both clone (Mann-Whitney U, P<0.001) and whole-population (two-sided t-test, P<0.001) fitness data show that sexual populations adapted significantly faster than asexual controls”.  Section author manuscript p. 4:  “significantly deleterious mutations hitchhike to fixation”. ↩

  49. 49.

    Colegrave, Nick.  “Sex releases the speed limit on evolution.”  Nature 420:664–666.  2002.  A laboratory experiment with the alga Chlamydomonas reinhardtii, in which asexual populations of different sizes were given eight rounds of mating or kept asexual and then compared after 50 more generations in a new medium.  Mirror:  Hdl.handle.net

    1. 49a.

      Page 664:  “sex has a marked effect in large populations but little effect in small populations”.  Page 665:  Pooled relative fitness of sexual against asexual lines was 1.10 ± 0.02. ↩

  50. 50.

    Becks, Lutz, and Aneil F. Agrawal.  “The Evolution of Sex Is Favoured During Adaptation to New Environments.”  PLoS Biology 10(5):e1001317.  2012.  An experiment with the rotifer Brachionus calyciflorus, which can clone or reproduce sexually, comparing the fitness of sexually and asexually produced offspring in populations moved to new environments and in controls, over about 45 generations.

    1. 50a.

      Section abstract:  “Sexually derived genotypes are more fit than asexually derived genotypes when adaptive pressures are strong, but this pattern reverses as the pace of adaptation slows, matching the pattern of evolutionary change in the rate of sex.” ↩

  51. 51.

    Goddard's difference of 0.1 in log growth rate per generation is a factor of e^0.1 = 1.105 per generation.  Over 25 generations it compounds to e^2.5 = 12.2, the authors' "about 12-fold."  A twofold cost paid once in those 25 generations leaves 12.2 ÷ 2 = 6.1.  Paid every generation, the cost is a factor of 2 against a gain of 1.105, and ln 1.105 ÷ ln 2 = 0.14, so the gain covers about 14% of the cost.  This assumes the advantage measured in a yeast without males would carry over to an animal, which is generous to the hypothesis. ↩

  52. 52.

    Schwander, Tanja, and Bernard J. Crespi.  “Twigs on the tree of life? Neutral and selective models for integrating macroevolutionary patterns with microevolutionary processes in the analysis of asexuality.”  Molecular Ecology 18(1):28–42.  2009.  A review and modelling paper on why asexual lineages sit at the tips of phylogenies.  It shows that neutral models of origin and speciation can produce that pattern without fast extinction of clones.

    1. 52a.

      Section abstract:  “low transition rates to stable asexuality, or low rates of ascertained 'speciation' in asexuals, can generate twiggy distributions of asexuality, in the absence of high extinction rates for asexual lineages.” ↩

  53. 53.

    Neiman, Maurine et al.  “What can asexual lineage age tell us about the maintenance of sex?”  Annals of the New York Academy of Sciences 1168:185–200.  2009.  A survey of published age estimates for asexual lineages.  It finds the estimates form a regular distribution, and says the data cannot settle why sex is maintained without better theory and parameters.

    1. 53a.

      Section abstract:  “the distribution of asexual lineage age estimates follows a surprisingly regular distribution, to the extent that asexual taxa viewed as "scandalously" ancient merely fall on the high end of this distribution.” ↩

  54. 54.

    Paland, Susanne, and Michael Lynch.  “Transitions to Asexuality Result in Excess Amino Acid Substitutions.”  Science 311(5763):990–992.  2006.  A comparison of the 13 mitochondrial protein genes of sexual water fleas, Daphnia pulex, with those of recently derived asexual lineages, using the ratio of amino-acid to silent substitutions.

    1. 54a.

      Page 990:  “we estimate that mitochondrial protein-coding genes in asexual lineages accumulate deleterious amino acid substitutions at four times the rate in sexual lineages.” ↩

  55. 55.

    Neiman, Maurine et al.  “Accelerated Mutation Accumulation in Asexual Lineages of a Freshwater Snail.”  Molecular Biology and Evolution 27(4):954–963.  2010.  A comparison of mitochondrial genomes in sexual and asexual lineages of the mud snail Potamopyrgus antipodarum, the species used in the Red Queen and cost-of-sex work.  Mirror:  PMC

    1. 55a.

      Section abstract:  “We found that increased mutation accumulation is associated with asexuality and occurs rapidly enough to be detected in recently derived asexual lineages of P. antipodarum.” ↩

  56. 56.

    Bast, Jens et al.  “Consequences of Asexuality in Natural Populations: Insights from Stick Insects.”  Molecular Biology and Evolution 35(7):1668–1677.  2018.  A transcriptome comparison of five independently derived asexual Timema stick insects with their sexual relatives, testing for faster accumulation of harmful mutations and other predicted genomic effects of asexuality.

    1. 56a.

      Section Discussion:  “there is currently no evidence that the average fitness of asexual Timema females is lower than the fitness of sexual females”. ↩

  57. 57.

    Brandt, Alexander et al.  “Effective purifying selection in ancient asexual oribatid mites.”  Nature Communications 8:873.  2017.  A comparison of gene sequences across sexual and asexual oribatid mites, whose asexual lineages are dated by clocks to millions of years.  It found purifying selection at least as effective in the asexual branches, the opposite of the pattern in young asexuals.

    1. 57a.

      Section Results:  “on average lower at asexual branches as compared to sexual branches”.  Said of the per-gene ratio of nonsynonymous to synonymous substitutions. ↩

  58. 58.

    Mark Welch, David B., and Matthew Meselson.  “Evidence for the Evolution of Bdelloid Rotifers Without Sexual Reproduction or Genetic Exchange.”  Science 288(5469):1211–1215.  2000.  A sequence study of four nuclear genes in four bdelloid species and in sexual rotifers, testing the prediction that long asexuality leaves highly divergent gene copies within each genome.  The divergence was high, and the authors read it as evidence of ancient asexuality while naming polyploidy as an alternative.

    1. 58a.

      Page 1211:  “The Class Bdelloidea of the Phylum Rotifera is the largest metazoan taxon in which males, hermaphrodites, and meiosis are unknown.” ↩

  59. 59.

    Flot, Jean-François et al.  “Genomic evidence for ameiotic evolution in the bdelloid rotifer Adineta vaga.”  Nature 500:453–457.  2013.  The first bdelloid genome assembly.  It found the genome arranged so that ordinary meiotic pairing is impossible, low divergence between allele copies explained by gene conversion, and about 8% of genes of non-animal origin.

    1. 59a.

      Page 453:  “However, current evidence does not exclude that they may engage in sex on rare, cryptic occasions.”  “Such structure does not allow meiotic pairing; instead, we find abundant evidence of gene conversion”.  Page 454:  Average divergence between allele copies is 4.4% at the nucleotide level. ↩

  60. 60.

    Vakhrusheva, Olga A. et al.  “Genomic signatures of recombination in a natural population of the bdelloid rotifer Adineta vaga.”  Nature Communications 11:6421.  2020.  A whole-genome comparison of eleven wild individuals of A. vaga, looking for the patterns that exchange of genes between individuals leaves.

    1. 60a.

      Section abstract:  “evidence for interindividual genetic exchange and recombination”. ↩

  61. 61.

    Nowell, Reuben W. et al.  “Comparative genomics of bdelloid rotifers: Insights from desiccating and nondesiccating species.”  PLoS Biology 16(4):e2004830.  2018.  A comparison of genome assemblies from several bdelloid species, testing whether the genomic features reported for A. vaga are shared across the group.

    1. 61a.

      Section abstract:  “are not general to all bdelloid species, even within the same genus”. ↩

  62. 62.

    Tomkins, Jeffrey P.  “Are Rotifers Gene Stealers or Uniquely Engineered?”  Institute for Creation Research.  Dec 3, 2012.  A news commentary by an ICR geneticist on a bdelloid gene-expression study reporting many genes of foreign origin.  It rejects horizontal gene transfer and credits the genes to design.

    1. 62a.

      “In this case, evolutionary biologists have resorted to fictional stories cloaked in technical terminology to escape the straightforward conclusion that rotifer DNA was purposefully crafted.” ↩

  63. 63.

    Ramesh, Marilee A. et al.  “A Phylogenomic Inventory of Meiotic Genes: Evidence for Sex in Giardia and an Early Eukaryotic Origin of Meiosis.”  Current Biology 15(2):185–191.  2005.  A genome survey of the parasite Giardia intestinalis, not known to have sex, for a core set of genes used in meiosis across plants, animals and fungi.  It found them, including five used only in meiosis, and inferred that meiosis arose early in eukaryotes.

    1. 63a.

      Section abstract:  “Meiosis arose early in eukaryotic evolution, but when and how meiosis arose and whether all eukaryotes have meiosis remain open questions.” ↩

  64. 64.

    Malik, Shehre-Banoo et al.  “An Expanded Inventory of Conserved Meiotic Genes Provides Evidence for Sex in Trichomonas vaginalis.”  PLoS ONE 3(8):e2879.  2008.  A search of more than 30 eukaryote genomes for 29 meiosis genes.  Trichomonas had 27 and Giardia 21, though neither has been seen in meiosis.  The authors infer the genes were in the common ancestor of all eukaryotes, and note that missing genes do not prove asexuality.

    1. 64a.

      Section abstract:  “Although meiosis has not been observed in T. vaginalis, our findings suggest it is either currently sexual or a recent asexual”. ↩

    2. 64b.

      Section Conclusions:  “These 27 meiotic genes must have been present in the common ancestor of Trichomonas and Giardia, and given the highly diverged positions of these lineages among eukaryotes [12–16], each of the genes also must have been present in the common ancestor of all eukaryotes.” ↩

  65. 65.

    Bergerat, Agnès et al.  “An atypical topoisomerase II from archaea with implications for meiotic recombination.”  Nature 386:414–417.  1997.  A biochemical study of a new type of topoisomerase from the archaeon Sulfolobus shibatae.  One of its subunits turned out to be related to the yeast meiosis protein Spo11, which suggested how Spo11 makes the breaks that start meiotic crossing over.

    1. 65a.

      Section abstract:  “By analogy with the mechanism of action of known type II topoisomerases, we suggest that Spo11 catalyses the formation of double-strand breaks”. ↩

  66. 66.

    Naor, Adit et al.  “Low species barriers in halophilic archaea and the formation of recombinant hybrids.”  Current Biology 22:1444–1448.  2012.  A laboratory study of cell fusion between two species of the salt-loving archaeon Haloferax, which formed fused cells carrying both genomes and then separated into recombinant hybrids.

    1. 66a.

      Section Summary:  “a diploid state containing the full genetic repertoire of both parental cells”. ↩

  67. 67.

    Ajon, Miriam et al.  “UV-inducible DNA exchange in hyperthermophilic archaea mediated by type IV pili.”  Molecular Microbiology 82(4):807–817.  2011.  A laboratory study of Sulfolobus archaea, which clump together after ultraviolet damage and exchange chromosomal DNA through the clumps.  The authors suggest the exchange serves DNA repair.

    1. 67a.

      Section abstract:  “Recombination rates exceeded those of uninduced cultures by up to three orders of magnitude.” ↩

  68. 68.

    Speijer, Dave et al.  “Sex is a ubiquitous, ancient, and inherent attribute of eukaryotic life.”  Proceedings of the National Academy of Sciences 112(29):8827–8834.  2015.  A review of the evidence for sex across the major eukaryote lineages.  It argues that the last common ancestor of eukaryotes had meiotic sex and that meiosis arose in response to oxygen damage, and it concedes how little is known for many protists.  Mirror:  PMC

    1. 68a.

      Page 8827:  “entire protist lineages cannot be considered sexual with any certainty yet”. ↩

  69. 69.

    Butterfield, Nicholas J.  “Bangiomorpha pubescens n. gen., n. sp.: implications for the evolution of sex, multicellularity, and the Mesoproterozoic/Neoproterozoic radiation of eukaryotes.”  Paleobiology 26(3):386–404.  2000.  The description of a fossil red alga from arctic Canada, identified by its pattern of cell division, and read as the oldest sexually reproducing organism known from fossils.

    1. 69a.

      Section abstract:  “Differential spore/gamete formation shows Bangiomorpha pubescens to have been sexually reproducing, the oldest reported occurrence in the fossil record.” ↩

  70. 70.

    Gibson, Timothy M. et al.  “Precise age of Bangiomorpha pubescens dates the origin of eukaryotic photosynthesis.”  Geology 46(2):135–138.  2018.  A rhenium-osmium dating study of the rocks above and below the Bangiomorpha fossils on Baffin Island, revising their age downward by 150 million years on the conventional timescale.

    1. 70a.

      Section abstract:  “revise its first appearance to 1.047 +0.013/–0.017 Ga. This date is 150 m.y. younger than commonly held interpretations”. ↩

  71. 71.

    Cavalier-Smith, Thomas.  “Origins of the machinery of recombination and sex.”  Heredity 88:125–141.  2002.  A theoretical review by a leading protist evolutionist, proposing that meiosis arose by a change in how chromosomes are held together, selected to reduce accidental doubling of chromosome sets, with genetic exchange as a side effect.

    1. 71a.

      Page 138:  “A direct causal connection between centromere splitting and cyclin digestion has not yet been demonstrated, but if there is one, then meiosis could have originated by a single key change”. ↩

  72. 72.

    Michod, Richard E. et al.  “Adaptive value of sex in microbial pathogens.”  Infection, Genetics and Evolution 8(3):267–285.  2008.  A review of sex in viruses, bacteria, fungi and protists by proponents of the DNA-repair theory of sex, weighing repair against variation as the benefit.

    1. 72a.

      Page 269:  “These findings indicate that meiosis was probably present early in eukaryote evolution, and evolved from recombinational repair-related processes in bacteria.”  The findings are the meiosis genes found in Giardia and their resemblance to bacterial repair genes. ↩

  73. 73.

    Hörandl, Elvira, and Dave Speijer.  “How oxygen gave rise to eukaryotic sex.”  Proceedings of the Royal Society B 285:20172706.  2018.  A review proposing that oxygen radicals from the first mitochondria drove the origin of meiosis as a repair system.  Its own timeline of steps is labelled arbitrary.

    1. 73a.

      Page 2:  “parts of this 'ROS-sex' hypothesis are much debated and not yet (?) universally accepted.” ↩

  74. 74.

    Batten, Don.  “15 Questions for Evolutionists.”  Creation Ministries International.  Sep 11, 2011.  A list of fifteen questions by a CMI scientist (a former horticultural research scientist), each linked to a longer article.  Question 8 is "How did sex originate?"

    1. 74a.

      Section question 8:  “how could mere physics and chemistry invent the complementary apparatuses needed at the same time (non-intelligent processes cannot plan for future coordination of male and female organs)”. ↩

  75. 75.

    Stroud, William.  “Creation and the Origin of Sex.”  Creation Research Society Quarterly 7(2).  1970.  An early young-earth article arguing that the origin of sex is extremely unlikely under evolution and is strong evidence for special creation, because the male and female systems would have had to arise together.

    1. 75a.

      Page 104:  “In essence, based on present observable processes, unless these two independent systems (male and female), both mutually compatible, and otherwise functional, arose simultaneously from a population that heretofore was reproducing asexually, then there was no copulation, no progeny, no evolution.” ↩

  76. 76.

    Geng, Sa et al.  “Evolution of Sexes from an Ancestral Mating-Type Specification Pathway.”  PLoS Biology 12(7):e1001904.  2014.  A genetic experiment in the alga Volvox carteri, which has eggs and sperm.  The mating-type gene MID, which in its single-celled relative Chlamydomonas sets the minus mating type, was added to females and knocked down in males to see whether it now controls sex.

    1. 76a.

      Section abstract:  “Transgenic female V. carteri expressing male MID produced functional sperm packets during sexual development.”  “produced functional eggs, or self-fertile hermaphrodites”. ↩

    2. 76b.

      Section abstract:  “Male and female sexes have evolved repeatedly in eukaryotes but the origins of dimorphic sexes and their relationship to mating types in unicellular species are not understood.” ↩

  77. 77.

    Hamaji, Takashi et al.  “Anisogamy evolved with a reduced sex-determining region in volvocine green algae.”  Communications Biology 1:17.  2018.  A genome comparison of both sexes of two colonial algae, the isogamous Yamagishiella unicocca and the anisogamous Eudorina, whose mating regions were compared with the much larger sex region of Volvox.

    1. 77a.

      Section abstract:  “In contrast to the large (>1 Mb) and complex MT of oogamous Volvox, Yamagishiella and Eudorina MT are smaller (7–268 kb) and simpler with only two sex-limited genes—the minus/male-limited MID and the plus/female-limited FUS1.”  “Thus, the first step to anisogamy in volvocine algae presumably occurred without an increase in MT size and complexity.” ↩

  78. 78.

    Parker, G. A. et al.  “The origin and evolution of gamete dimorphism and the male-female phenomenon.”  Journal of Theoretical Biology 36(3):529–553.  1972.  The founding mathematical model of why gametes split into small sperm and large eggs, by disruptive selection on gamete size in a population that starts with equal gametes.

    1. 78a.

      Section abstract:  “a marked disruptive effect can be generated”. ↩

  79. 79.

    Lehtonen, Jussi, and Hanna Kokko.  “Two roads to two sexes: unifying gamete competition and gamete limitation in a single model of anisogamy evolution.”  Behavioral Ecology and Sociobiology 65:445–459.  2011.  A theoretical model combining the two main explanations for unequal gametes, competition among sperm and the need to find a partner, in one framework.

    1. 79a.

      Section The model:  “The historical sequence of events leading from isogamy without mating types to anisogamy with mating types is unclear”. ↩

  80. 80.

    Williams, George C.  Sex and Evolution.  Princeton University Press.  1975.  A monograph by one of the founders of gene-centred evolutionary theory, arguing that the prevalence of sex needs explaining and proposing short-term advantages of variable offspring that might pay its twofold cost.

    1. 80a.

      Section Preface:  “This book is written from a conviction that the prevalence of sexual reproduction in higher plants and animals is inconsistent with current evolutionary theory. My purpose is to propose minimal modifications of the theory in order to account for the persistence of so seemingly maladaptive a character.” ↩

  81. 81.

    Maynard Smith, John.  The Theory of Evolution.  Cambridge University Press.  Canto edition.  1993.  A popular account of evolutionary theory, first published in 1958 and revised several times.  Its chapter on sex argues that meiosis and fertilisation could not have spread for their long-term benefit alone.

    1. 81a.

      Page 204:  “We are therefore driven to the conclusion that the early stages in the evolution of the sexual process took place under the influence of selective forces quite different from those which were responsible for the maintenance and spread of sexual processes once they were perfected.” ↩

  82. 82.

    Swift, David W.  Evolution Under the Microscope: A Scientific Critique of the Theory of Evolution.  Leighton Academic Press.  2002.  A critique of evolution by a British biologist, published by a small press.  It quotes Maynard Smith on the origin of sex with two words that differ from his book.

    1. 82a.

      Page 377:  “selective forces quite different from those which are responsible for the maintenance and spread of sexual processes once they were erected.” ↩

  83. 83.

    Zimmer, Carl.  Evolution: The Triumph of an Idea.  Heinemann.  2002.  A popular history of evolutionary biology by a science journalist, written as the companion to the PBS series Evolution.  Its chapter on sex presents the cost problem and then the parasite hypothesis.

    1. 83a.

      Page 231:  “Why is sex a success, despite all its disadvantages? Scientists have recently been gathering support for a surprising hypothesis: sex fights off parasites.” ↩

  84. 84.

    Dean, Laura L. et al.  “Internal embryonic development in a non-copulatory, egg-laying teleost, the three-spined stickleback, Gasterosteus aculeatus.”  Scientific Reports 9.  2019.  A report of a single wild female stickleback found carrying developing embryos, a fish that normally spawns eggs for external fertilisation.  Genetic tests showed the embryos had a father.

    1. 84a.

      Section abstract:  “Genetic and physiological examination of the parent fish and offspring ruled out development by parthenogenesis and hermaphroditism, therefore implicating internal fertilisation by a male stickleback.” ↩

  85. 85.

    Lutes, Aracely A. et al.  “Laboratory synthesis of an independently reproducing vertebrate species.”  Proceedings of the National Academy of Sciences 108(24):9910–9915.  2011.  A laboratory study in which crosses between a sexual male whiptail lizard and a parthenogenetic female produced tetraploid females that went on to reproduce by cloning for several generations.

    1. 85a.

      Section Discussion:  “The four lineages described here constitute a laboratory-generated vertebrate species”. ↩