Learning to tango with four (or more): the molecular basis of adaptation to polyploid meiosis

Polyploidy, which arises from genome duplication, has occurred throughout the history of eukaryotes, though it is especially common in plants. The resulting increased size, heterozygosity, and complexity of the genome can be an evolutionary opportunity, facilitating diversification, adaptation and the evolution of functional novelty. On the other hand, when they first arise, polyploids face a number of challenges, one of the biggest being the meiotic pairing, recombination and segregation of the suddenly more than two copies of each chromosome, which can limit their fertility. Both for developing polyploidy as a crop improvement tool (which holds great promise due to the high and lasting multi-stress resilience of polyploids), as well as for our basic understanding of meiosis and plant evolution, we need to know both the specific nature of the challenges polyploids face, as well as how they can be overcome in evolution. In recent years there has been a dramatic uptick in our understanding of the molecular basis of polyploid adaptations to meiotic challenges, and that is the focus of this review.


Introduction
Whole genome duplications have been common in the history of eukaryotes and are thought to contribute to evolutionary novelty, genome complexity and adaptation (e.g. see Otto and Whitton 2000;Soltis et al. 2003;Comai 2005;Flagel and Wendel 2009;Parisod et al. 2010;Arrigo and Barker 2012;Van de Peer et al. 2017). Polyploidy has occurred in every eukaryotic kingdom, but is particularly rampant in plants (Ramsey and Schemske 1998;Soltis et al. 2003;Mable 2004; Van de Peer et al. 2017;Roman-Palacios et al. 2021), though the likelihood that any given polyploid lineage will survive is apparently quite low (Arrigo and Barker 2012). Many of our most important crops are also polyploid, which may have been under selection in some species, as polyploidy can contribute to heterosis, larger fruit or grain size, and/or greater stress resilience (e.g. Comai 2005;Udall and Wendel 2006;Renny-Byfield and Wendel 2014;Bomblies 2020); indeed, recent evidence suggests that polyploids are over-represented among crop species (Salman-Minkov et al. 2016).
A puzzling feature of polyploids is that despite their evolutionary prevalence, when they first form they face substantial challenges. Genome duplication increases DNA content as well as increased nuclear and sometimes cell volume, which can have profound effects on organismal physiology (Ramsey and Schemske 2002;Doyle and Coate 2019;Bomblies 2020). In addition, the increase in chromosome number can cause chromosome pairing, recombination and segregation problems in meiosis, which can lead to decreased fertility (Comai 2005;Bomblies et al. 2015Bomblies et al. , 2016. Some of the changes associated with genome duplication can be evolutionary opportunities (like high heterozygosity, genetic redundancy, or the increased stress resilience that often accompanies genome duplication), while others (like the issues faced in meiosis or physiology) represent challenges that must be overcome (Comai 2005;Bomblies et al. 2015Bomblies et al. , 2016Van Drunen and Husband 2018;Bomblies 2020). There has been exciting progress recently in identifying genes and molecular functions that improve polyploid Communicated by Raphael Mercier. This article is part of a special collection "Plant meiosis: A fertile field".
1 3 meiotic stability. These insights can provide fundamental insights into chromosome behavior and genome maintenance, and can also help open a path for employing polyploidy as a novel tool in future crop improvement by improving neopolyploid fertility (Udall and Wendel 2006;Maherali et al. 2009;Doyle and Coate 2019;Bomblies 2020).
In this review, I will first describe the different kinds of polyploids, followed by a general description of the relevant features of meiosis. This will contextualize the subsequent description of the problems polyploids face in meiosis and the cytological solutions that have evolved. Then I will discuss case studies where we know something about the molecular basis of meiotic stabilization. I will end by discussing how polyploids may get past the sometimes-devastating challenges of their teething phases. Much of what I discuss focuses on studies that have mostly or exclusively focused on male meiosis. This is because in plants male meiosis is much easier to analyze cytologically. However, there is also some evidence that at least in autopolyploids, male meiosis may in fact also be more sensitive to polyploid challenges (Koul and Raina 1996). Why this would be, and whether this trend holds true for other polyploids remains, to my knowledge, unexplored.

Defining the two major types-auto and allopolyploids
Polyploids are generally defined as coming in two distinct types, auto-and allo-polyploids (Fig. 1). Either type of polyploidy can arise either from somatic genome duplication (in plants this can be heritable because plants do not sequester their germline), or by the production and fusion of unreduced gametes, the production rate of which can dramatically increase under stressful conditions Schemske 1998, 2002;De Storme et al. 2012;De Storme and Geelen 2014). Nowadays auto-and allopolyploids are primarily distinguished by their origin and/or genetics Schemske 1998, 2002;Bomblies and Madlung 2014). By the "origins" definition, allopolyploids have a hybrid origin and thus carry two or more distinct sets of chromosomes called "sub-genomes," while auto-polyploids arise within species and have multiple roughly equivalent homologous copies of each chromosome.
In addition to the origin of a particular polyploid, it is important to know the chromosome segregation behavior of a polyploid for understanding the challenges it faces. Segregation can be tested by following marker segregation in experimental crosses (e.g. Jelenkovic and Hough 1970;Krebs and Hancock 1989;Rieseberg and Doyle 1989;Wolf et al. 1989), and in the age of genome resequencing, also by analyzing expected and observed genome-wide genotype frequencies under different inheritance models (e.g. see Hollister et al. 2012). By the "genetic" definition, established allopolyploids almost always have disomic segregation, meaning chromosomes recombine (and are thus linked in metaphase I) preferentially with more similar homologs from the same sub-genome. Established autopolyploids tend to have polysomic segregation ("tetrasomic" if there are four chromosome copies), meaning the chromosomes have no partner preferences for recombination and chiasma formation, yet these species often still form only bivalents in metaphase I (e.g. Jelenkovic and Hough 1970;Krebs and Hancock 1989;Rieseberg and Doyle 1989;Wolf et al. 1989;Hollister et al. 2012). As a result of their respective inheritance patterns, only allopolyploids have "duplicate genes", while autopolyploids segregate more alleles at each (nonduplicated) locus. Because this review is about meiosis, I will generally weigh chromosome segregation more heavily than origins of a particular lineage when considering established polyploids, and origins more heavily when considering neopolyploids, as this is important for understanding the problems they face early on.
Some confusion arises in the older literature, as polyploids were often defined cytologically. Anything that formed only bivalents in metaphase was considered allopolyploid, and anything that formed even a few multivalents in metaphase as autopolyploid. Now, however, we know autopolyploids with fully tetrasomic inheritance can also form exclusively or primarily bivalents in metaphase I (e.g. Dawson 1941;Jelenkovic and Hough 1970;Krebs and Hancock 1989;Rieseberg and Doyle 1989;Wolf et al. 1989). Thus, many polyploids described in the earlier literature may be mis-classified, contributing to what might be a considerable under-counting of auto-polyploids (Soltis et al. 2007). We have since refined our classification of auto-vs. allopolyploids as well as our understanding of their genetics. Contextualizing this information with our modern understanding of meiosis has led to a much-improved ability to characterize both problems and solutions, as well as assess their predictability. Finally, auto-and allo-polyploids are often said to have a range of intermediates between the extremes (Stebbins 1947;Chen and Ni 2006;Stift et al. 2008). I discuss in Box 1 what this may mean in the context of the meiotic adaptations described here.

Basic progression of meiosis in diploids
To contextualize the problems that polyploids face in meiosis, I will first briefly describe the relevant parts of the general progression of events in diploid meiotic chromosome pairing, recombination and segregation. A comprehensive view of meiosis is not possible here. For deeper and broader discussions of meiosis see e.g. (Zickler and Kleckner 1999, 2015Keeney and Neale 2006;Lynn et al. 2007; 1 3 Mercier and Grelon 2008;Lam and Keeney 2014;Hunter 2015;Mercier et al. 2015).
The key events of meiosis relevant to the discussion of polyploid adaptations occur early in meiosis I, and result in chromosome co-alignment (pairing) and the initiation and maturation of homologous recombination events (Fig. 2). This process begins after chromosomes are replicated to yield two identical sister chromatids. Sister chromatids are held together by, among other things, cohesin complexes that contain a meiosis-specific subunit, REC8 (Molnar et al. 1995;Michaelis et al. 1997;Watanabe and Nurse 1999). REC8-containing cohesin recruits chromosome axis proteins (Molnar et al. 1995;Sakuno and Hiraoka 2022). The axes are a linear proteinaceous structure conserved across eukaryotes that extend the entire length of each set of paired sister chromatids in meiosis. The axes form a context on which the earliest events of recombination play out, and help direct the choice of the homolog for recombinational interactions instead of the sister chromatid (Schwacha and Kleckner 1997;Kleckner 1999, 2015;West et al. 2019). In many species, axis length correlates positively with recombination rate (Kleckner et al. 2003;Ruiz-Herrera et al. 2017;Song et al. 2021).
One of the first events in recombination itself is programmed formation of hundreds of double strand breaks along the chromosomes by SPO11 (Keeney and Neale 2006;Lam and Keeney 2014). Double strand breaks are then processed such that long single-stranded DNA "tails" are created, which become coated by Rad51 and Dmc1 (only DMC1 is meiosis-specific) (Fig. 2). These proteins help Autopolyploids contain multiple (here four, an autotetraploid) equally homologous copies of each chromosome. (B) Problems arise when recombination among the four copies gives rise to multivalents, especially the trivalent / univalent example shown here at left. In evolved (meiotically stable) autopolyploids, crossovers tend to occur on the group of homologs such that only bivalents persist to metaphase I (configuration in box). (C) Possible gametes: As a result of random crossover partner choice, stable autopolyploids can make every possible combination of homologs in their gametes. (D) Allopolyploids have two distinct sub-genomes, such that an allotetraploid (illustrated here) will have two sets of homologs (yellow vs. purple); similar chromosome copies from different sets are called homeologs. For example, chromosome a and c are homeologs, and a and b are homologs. (E) Problems arise in meiosis when recombination occurs among homeologs (black "X", black arrow), as this can lead to mosaicism in which recombination partner choice becomes inconsistent (see text). Stable allopolyploids (green box) have recombination events occurring only among homologs (here, no exchanges among any yellow and any purple chromosome). (F) Possible gametes: Homeologous recombination can yield gametes carrying both alleles from just one subgenome (red gametes, ab, cd), while stable disomic inheritance will yield only gametes that carry one chromosome from each subgenome (green gametes, all remaining combinations). (G) An example of an auto-allo-polyploid genome. The four yellow chromosomes are homologous and can behave like the situation in panels A-C, while the two purple chromosomes would behave, with respect to the yellow ones, like in panels D-F. (H) A segmental allopolyploid. In these situations, the chromosome is a mosaic of regions that are allopolyploid (e.g. two yellow and two purple copies) and regions that are homozygous for one or the other parent. If crossovers occur in the regions indicated by the black arrows, there may be no partner preference, and markers in that region will show tetrasomic inheritance, while regions indicated by white arrows will show disomic inheritance 1 3 guide a process called single end (or strand) invasion, in which the coated single-stranded DNAs "invade" other chromosomes and identify regions of homology. The MND1/ Hop2 complex then interacts with DMC1 to stabilize singlestrand invasions, and also to reject events where heterozygosity is too high, thus preventing ectopic recombination (Gerton and DeRisi 2002;Tsubouchi and Roeder 2002;Kerzendorfer et al. 2006;Panoli et al. 2006;Pezza et al. 2007;Vignard et al. 2007;Zhao et al. 2013). Once several strand invasion events stabilize along a chromosome, the chromosomes are co-aligned ("paired"). The MSH4/MSH5 complex also associates early with pre-recombination interactions and helps stabilize them (e.g. Ross-Macdonald and Roeder 1994;Novak et al. 2001;Argueso et al. 2004;Higgins et al. 2004;Shinohara et al. 2008). The recruitment of MSH4/MSH5 to recombination interactions requires ZIP1, a member of the so-called ZMM groups of proteins (Borner et al. 2004;Lynn et al. 2007;Higgins et al. 2008;Voelkel-Meiman et al. 2015). As meiosis progresses, additional ZMM proteins associate with the pre-recombination interactions and regulate their fate as either crossover or non-crossover events (Lynn et al. 2007;Shinohara et al. 2008). ZMM proteins are only required for the so-called Class I crossovers, which are the majority in most species. These crossovers (unlike Class II crossovers) generate and are sensitive to crossover interference, which prevents crossovers forming near one another (Copenhaver et al. 2002;Zickler and Kleckner 2016).

Box 1: Intermediates between autoand allopolyploid extremes
Since Stebbins put forward the idea in 1947 (Stebbins 1947), the statement is often made that there is a continuum of intermediates between auto-and allopolyploids. Sybenga argued nearly 50 years later, that such intermediates are in fact rare, and the vast majority of established polyploids are either solidly auto-or allopolyploid (Sybenga 1996). What is the evidence now? In After chromosomes are replicated to give identical sister chromatids (i) the chromatids are linked by cohesin complexes and organized in chromatin loops. The cohesin complexes containing the meiosis-specific subunit REC8 in turn also recruit the structural axis components (e.g. Red1, Hop1 in yeast, and ASY1, ASY3 and ASY4 in Arabidopsis). Double strand breaks are created by SPO11 (ii), and together with Mer2 and other proteins, brought to the chromosome axes while ends are resected and processed into single strand filaments that are coated with Rad51 and the meiosis-specific DMC1 (ii). Mediated by DMC1, single strands invade other chromosomes and "search" for homologous sequences. This search and subsequent stabilization are mediated by the MND1/HOP2 complex (iii). Strand invasions are then processed by ZMM proteins, including MSH4 and MSH5 (which are recruited by ZIP1) (iv), and ZIP4 and others into Holliday Junctions and later crossover events (iv-v). Grey arrow: The vast majority of pre-recombination events are shunted to non-crossover fates at various stages 1 3 terms of polyploid origin, every intermediate of genetic divergence between "different species" and "within species" is of course possible. But in terms of chromosome segregation behavior and meiotic adaptations, probably not. In genetic terms, there are three discrete types of "intermediate" that in principle could exist: (1) auto-allopolyploids where auto-and allo-polyploid sub-genomes co-exist and remain distinct at the chromosome level, (2) segmental allopolyploids where some chromosome regions preferentially pair/recombine while others do not, or (3) recombination partner choice could be partly preferential.
1. Auto-allo-polyploids. There are examples of species with complex genomes where autopolyploid genomes co-exist with more diverged sub-genomes that they do not recombine with (Fig. 1G), e.g. a genome constitution such as "AAAA/BB" where the A chromosomes can recombine freely with each other as in an autotetraploid, but do not recombine with the B chromosomes, which in turn also only recombine amongst themselves. Examples include the grasses sugar cane, Pennisetum squalidum, and Festuca kingii (e.g. Boyle 1950;Patil et al. 1961;Premachandran et al. 2011;Bock et al. 2014). Auto-allopolyploids can arise for example from hybridization between autotetraploids and either a diploid or an allopolyploid, followed by genome doubling. To date we know little about what adaptations it takes for this sort of polyploid to stably undergo meiosis; it may well require the co-existence of both auto-and allo-polyploid adaptations.
2. Segmental allopolyploids. In "segmental allopolyploids" the genome is a mosaic of regions that are allopolyploid and autopolyploid in their recombination and segregation behavior (Fig. 1H). Such a situation can arise in an allopolyploid when homeologous recombination homozygoses some parts of the genome (e.g. Leal-Bertioli et al. 2018;Mason and Wendel 2020). Can different regions of the same chromosome show different patterns of inheritance? It seems the answer is sometimes yes. One example is in the genome of polyploid trout, where most of the genome shows disomic inheritance, but one terminal region is tetrasomic (Allendorf and Danzmann 1997), showing recombination among all four chromosome copies can occur in this region. Intermediacy is thus only at the genome-wide level-any given region is discretely auto-or allopolyploid in its genetic behavior. How stable this situation is, or what adaptations it requires, remains mostly unknown.
3. Intermediate or partial pairing/recombination partner preference. In theory, one can imagine that individuals have some, but not absolute, preferences for recombining particular chromosomes (Stift et al. 2008;Hollister et al. 2012;Meirmans and Van Tienderen 2013).
This would lead to genome-or at least chromosome-wide "intermediate" inheritance between the disomic and tetrasomic extremes. While appealing as a model, it is, however, likely to be at most transient, since even small amounts of non-preferential recombination can rapidly homogenize the genome (Muramatsu 1990;Sybenga 1996;Meirmans and Van Tienderen 2013), generating chimeric chromosomes whose recombination partner choice will depend on where recombination events are located along the chromosome. Thus, it is perhaps unsurprising that the only known examples of this kind of intermediate-preference system are recent hybrids, including interspecies hybrids in Rorippa, sugar cane and Acacia (Jannoo et al. 2004;Stift et al. 2008;Xie et al. 2015;Le et al. 2021). However, even if they are likely evolutionarily ephemeral, such systems can teach us interesting things about the effects of hybridization in polyploid systems, and how higher ploidy levels and/ or complex auto-allopolyploids can evolve. It seems unlikely that there are adaptations that could stabilize this sort of intermediate system in the long term.

The problem(s) and the cytological solution(s)
Allopolyploids start life already with distinct "sub-genomes" from the two parents ( Fig. 1). The more similar chromosome copies within a sub-genome are called "homologs" (as in diploids), while the less similar copies from distinct sub-genomes are called "homeologs". In most established allopolyploids, sub-genomes remain genetically distinct, because in metaphase I, bivalents consist of the more similar homologs, and these then segregate from each other (disomic inheritance), leading to permanent heterozygosity for the two sub-genomes (Pikaard 2001;Bomblies and Madlung 2014). But this is not necessarily the case from the beginning. We will see below, there is clear evidence from mapping crosses among stable allopolyploids and neo-allopolyploids that preferential recombination within subgenomes has a genetic basis and is a derived rather than an innate feature of meiosis.
Homeologous recombination (recombination among subgenomes) can cause multiple problems. It can yield meiotic multivalents, and after segregation, gene loss, mosaic genome homogenization, and aneuploidy (Feldman and Levy 2009;Szadkowski et al. 2010;Zhang et al. 2013;Gou et al. 2018;Wu et al. 2020). For example, in wheat, neo-allo-hexaploids acquire frequent whole-chromosome aneuploidies, and occasional "cryptic aneuploidies" where one chromosome was lost and another gained (Zhang et al. 1 3 2013). Interestingly, one of the sub-genomes is more stable, perhaps because it is less likely to undergo homeologous recombination with the other two. Neo-polyploid (resynthesized) Brassica napus, undergoes so much restructuring and homeologous exchange, that it has been described as a "genome blender" (Song et al. 1995;Szadkowski et al. 2010;Gaebelein et al. 2019). There may be other problems as well, for example, in wheat, when multivalents persist to metaphase, there are also lots of unresolved interlocks, suggesting there might be some relationship between the processes that eliminate both types of structures (Hobolth 1981;Holm and Wang 1988), while in A. suecica there are subtle, but persistent instabilities unrelated to homeologous recombination (Nibau et al. 2022).
Some of the neo-allopolyploid instabilities described above are so extreme that it can become difficult to reconcile, either with the absence of evidence for bursts of extensive homeologous exchange in the history of extant allopolyploids, or with the long-term maintenance of distinct sub-genomes. For example, both natural allopolyploid cotton and Arabidopsis suecica maintain separate subgenomes. Though both species do continue to accumulate rearrangements from homoeologous exchanges at a slow pace, it seems neither had a dramatic burst of instability immediately after polyploidy (Salmon et al. 2010;Burns et al. 2021). How do we explain the dramatic events we see in lab-generated neo-polyploids in the context of what seems to be relative stability of natural ones even from their beginnings? A clue comes from Brassica napus, where it was found that the extent to which the genome rearranges in synthetic neo-allopolyploids varies substantially depending on the diploid genotypes used, suggesting there are genetic variants segregating in the diploid progenitors that affect meiotic stability of polyploids derived from them (Attia and Röbbelen 1986;Szadkowski et al. 2010). Perhaps the allopolyploid lineages that survive are those that are from the start less inclined to genome rearrangement. Whether stabilizing alleles are selected from standing variation or de novo during allopolyploid evolution, there is nevertheless clear evidence that there is a genetic basis to the preference for recombining with homologs over homeologs.

The molecular solution(s) to allopolyploid meiosis
In most allopolyploid species, the decision of which chromosomes will recombine seems to occur after the point at which chromosomes are paired and co-aligned. The evidence for this is that in many allopolyploids, homologs and homeologs co-align and even form multivalent associations in pachytene (e.g. Hobolth 1981;Loidl 1988;Martinez et al. 1996), but recombination events then only mature on the more closely related homologs. How is this achieved? I turn now to a few example species to examine what is known about the genetic and molecular basis of allopolyploid stabilization.
Triticum aestivum (bread wheat): Bread wheat is an allohexaploid that arose from a merger of three distinct genomes, has disomic inheritance, and bivalents in metaphase I that are comprised of only homologs, not homeologs (Riley and Chapman 1958;Sears 1976;Juahar et al. 1991). Nevertheless, during the first stages of meiosis (in prophase I), wheat can form multiple-chromosome alignments and multivalents (Hobolth 1981;Martinez et al. 2001), suggesting that initial chromosome "pairing" is actually indiscriminate, and the decision point comes later (during crossover maturation). In contrast to established wheat allohexaploids, newly synthesized allo-polyploids instead have rampant homeologous recombination, showing that preferential recombination partner choice is an evolved feature (Zhang et al. 2013). Multiple loci have been identified that contribute to preferential recombination in wheat (Riley and Chapman 1958;Sears 1976;Martinez et al. 2001;Koo et al. 2017), and now, happily, two of the causal genes have been identified, which helps refine models of how preferential chromosome recombination and segregation is achieved in wheat.
The strongest of several genetic loci that drives preferential recombination of homologs over homeologs is Pairing homologous 1 (Ph1; Riley and Chapman 1958;Luo et al. 1996). (See Box 2 for a description why preferential "pairing" is probably no longer an accurate description in most species). Non-Ph1-containing lines recombine homeologs as well as homologs, which results in multivalent formation, chromosome mis-segregation, and deleterious homeologous exchanges (Holm and Wang 1988). While the genetic behavior of Ph1 has been studied for decades, the mystery of its molecular identity was only recently solved: the Ph1 region is large and complex, but a (or the) causal gene seems to be a diverged extra copy of a gene encoding a ZMM group protein called ZIP4 (Rey et al. 2017;Martín et al. 2021). Like other ZMM proteins, ZIP4 is essential for Class I interfering crossover formation and defines crossover fate decisions early in pre-recombination maturation (Tsubouchi et al. 2006;Lynn et al. 2007;Shinohara et al. 2008;Shen et al. 2012). Thus, the ZIP4 allele encoded by Ph1 in wheat could have evolved greater sensitivity to polymorphism in regulating the decision whether to progress a pre-recombination interaction to a crossover or non-crossover fate. How exactly the diverged ZIP4 protein encoded by the duplicated gene at the Ph1 locus might have evolved an altered sensitivity to polymorphism will be exciting to test.
A second locus that helps prevent recombination among homeologs is Ph2, and the likely causal gene has recently been shown to be MSH7 (Serra et al. 2021). MSH7 is a plant-specific mismatch recognition protein active in meiosis that forms a complex with MSH2, and likely arose via an 1 3 ancient duplication of the eukaryote-wide MSH6 gene early in plant evolution . Silencing the Ph2 copy of MSH7 in wheat/Aegilops hybrids, whose chromosomes do not normally recombine, resulted in at least a five-fold increase in homeologous recombination (Serra et al. 2021). This result suggests that the normal function of the Ph2 MSH7 allele is to monitor and reject nascent recombination events with excessive mismatches. Similarly, in a tomato substitution line carrying a homeologous chromosome from a related species, reducing MSH7 activity also increases homeologous recombination (Tam et al. 2011). Like ZIP4, MSH7 coordinates recombination fate decisions and can apparently quantitatively control sensitivity to polymorphism to help discriminate homologs from homeologs during crossover maturation.
Brassica napus (oilseed rape): Brassica napus is a young allopolyploid generated multiple times during domestication from hybridization between two diploid Brassica species (U 1935); it seems to be purely a product of domestication, since wild B. napus populations are not known to exist. As in wheat, genetic loci suppress homeologous recombination in meiotically stable established allopolyploid B. napus strains (e.g. Jenczewski et al. 2003;Liu et al. 2006;Cifuentes et al. 2010;Grandont et al. 2014;Higgins et al. 2021;Xiong et al. 2021). The underlying genes have not yet been identified, but some useful information about recombination and segregation stabilization is nevertheless available for this species.
As noted above, in synthetic (newly generated) allopolyploid Brassica napus, where any stabilizing genes would come from segregating variation from the diploid parents, seven genomic regions were associated with quantitative effects on fertility and meiotic stability, five of which contain meiosis genes as candidates (Gaebelein et al. 2019). Of 14 candidate meiosis genes, 10 contain amino acid polymorphisms differentiating diploid donor alleles. Though none have been tested functionally, the list includes intriguing candidates including the single-strand DNA-binding protein RAD51, cohesin components SCC2 and SMC1, and the mismatch repair protein MSH2 among others (Gaebelein et al. 2019). Another study also identified candidate genes underlying several stabilizing QTL, including MSH3 and a number of other meiosis genes (Higgins et al. 2021). These studies, which show that segregating genetic variants in diploids can contribute to polyploid meiotic stability, could help explain how early polyploid lineages can achieve enough stability to survive long enough to evolve additional solutions.
While we cannot make too much of unconfirmed candidates, they nevertheless allow for some speculation as to what might be possible. A particularly interesting candidate from the list is the gene encoding MSH2, which interacts with both MSH6 and MSH7 (Wu et al. 2003). In tomato, silencing of MSH2 (like MSH7) increased homeologous recombination rates (Tam et al. 2011). Consistent with a potential role in the selectivity of allopolyploid recombination partners, in Arabidopsis thaliana MSH2 plays a role in mediating the sensitivity of homologous recombination to polymorphism (Emmanuel et al. 2006;Li et al. 2006). In A. thaliana crosses, MSH2 regulates recombination such that it occurs preferentially in more polymorphic regions, but only to a point (Ziolkowski et al. 2015;Blackwell et al. 2020). That is, MSH2 seems to ensure that recombination events preferentially occur in regions that have some, but not excessive polymorphism, supporting the hypothesis that its sensitivity to polymorphism could in principle be toggled up or down in allopolyploids to allow discrimination of homologs from homeologs.
It was also recently shown that artificially reducing (but not eliminating) expression of the ZMM-group gene MSH4 in newly polyploid B. napus greatly reduced the rate of homeologous recombination, while not substantially affecting homologous recombination (Gonzalo et al. 2019). Like other ZMM proteins, MSH4 is required for the formation of class I (interfering), crossovers, but seems to act earlier than other ZMM proteins (e.g. Ross-Macdonald and Roeder 1994;Zalevsky et al. 1999;Novak et al. 2001;Argueso et al. 2004;Higgins et al. 2004Higgins et al. , 2008Shinohara et al. 2008). MSH4 is not generally considered to affect pairing, but in yeast, while in msh4 mutants chromosome alignment (pairing) does occur, chromosomes remain spaced about twice as far apart as in wild type (Storlazzi et al. 2010), suggesting MSH4 also contributes to the establishment or stabilization of normal pairing interactions. Whether MSH4 affects partner choice at the level of pairing or recombination regulation (or both) in allopolyploid B. napus is as yet unclear.
Arabidosis suecica: A. suecica is a naturally occurring allopolyploid formed from hybridization between diploid A. thaliana and either diploid or autotetraploid A. arenosa (O'Kane et al. 1996;Jakobsson et al. 2006;Burns et al. 2021;Nibau et al. 2022). In contrast to natural (established) A. suecica, neopolyploids generated in the lab are meiotically unstable (albeit to varying degrees), with extensive homeologous recombination resulting in homozygosity of chromosome regions for one parent or another, aneuploidy, and chromosome mis-segregation (Pontes et al. 2004;Henry et al. 2014). Nevertheless, as noted above, in natural A. suecica there is no evidence for a burst of homeologous exchange having occurred (i.e. there was no "genomic shock" resulting from polyploidy), though there is some evidence that low levels of homeologous exchange have continued at a low rate throughout its evolution (Burns et al. 2021). Recent cytological data confirms that the established natural A. suecica is meiotically quite stable. Occasional abnormalities in recombination, synapsis and chromosome segregation, do occur, but none were attributable to homoeologous 1 3 recombination events, suggesting other instabilities persist in this allopolyploid (Nibau et al. 2022). Genetic mapping in F 2 populations from crosses between natural and synthetic A. suecica identified one quantitative trait locus where the allele from the established line improved cytological stability and fertility by suppressing homeologous exchange (Henry et al. 2014). The gene responsible is as yet unknown.
Oryza sativa (Rice): Rice is generally diploid, but tetraploid rice lines have been derived from hybrids of two subspecies. These tetraploids have high rates of multivalent formation, homeologous exchange, and chromosome mis-segregation (Xu et al. 2014;Wu et al. 2020). However, one line is meiotically stable with bivalents in metaphase I only involving homologs, not homeologs (Xiong et al. 2019). This line was found to express particularly high levels of a gene encoding a meiotic protein, MND1, which significantly reduces univalent and trivalent rates in the naturally stable line, and when overexpressed as a transgene, it rescued a previously unstable line (Xiong et al. 2019). MND1 is an interesting gene in this context. It is conserved across eukaryotes, and together with another protein, HOP2, is required for homologous recombination in fungi, plants and animals (Gerton and DeRisi 2002;Tsubouchi and Roeder 2002;Kerzendorfer et al. 2006;Panoli et al. 2006;Pezza et al. 2007;Vignard et al. 2007;Zhao et al. 2013). Structural and in vitro binding analyses suggest that HOP2/MND1 complexes directly associate with and stabilize DMC1-mediated strand invasion (Zhao et al. 2013;Kang et al. 2015;Crickard et al. 2019). Likely relevant to an allopolyploid situation is the observation that in yeast mnd1 / rad51 double mutants have increased ectopic recombination between non-homologous sequences resulting from an increased promiscuity of DMC1-mediated strand invasion in the absence of MND1. This result implicates MND1 in increasing the "pickiness" of DMC1-mediated pairing partner choice during strand invasion (Henry et al. 2006). Thus, loss of mnd1 makes DMC1-mediated strand invasion less sensitive to polymorphism, while overexpressing MND1 seems to make it more sensitive, and likely this allows strand invasion interactions with homeologs to be rejected. How exactly MND1 might modulate polymorphism tolerance thresholds, and why overexpressing it changes the sensitivity to polymorphism, is as yet unclear. This work highlights that studying partner choice in polyploid systems may yield a unique opportunity to learn more about fundamental aspects of meiosis, such as how sensitivity of recombination to polymorphism can be tuned, and how polymorphism is "measured" molecularly to direct recombination fate decisions.
Repeatability: The allopolyploid systems described above highlight that a major adaptation in allopolyploids (in fact the only one currently known) is an improved ability to discriminate more diverged homeologs from less diverged homologs as partners for recombination. At the molecular level, the cases described above highlight that there seem to be several proteins or molecular processes via which these decisions can be regulated. The relevant genes are highly conserved across eukaryotes, showing that, as happens so often in evolution, allopolyploids are not inventing something new-they are retuning a system that is already wellpoised to make molecular "decisions" of this sort. What we can now say is that allopolyploids do seem to be highly predictable in the sense that they stabilize meiosis by making recombination partner choice more sensitive to polymorphism, but there are different genes they may modify to achieve this.
Sequence divergence as an innate cue for preferential recombination (or not): Does a recombination partner preference for homologs over homeologs imply that in established allopolyploids meiosis chromosomes will always "pick" more similar chromosomes as recombination or pairing partners, or is there a threshold below which anything goes? There have been some intriguing "competition" experiments designed to assess recombination partner choice in polyploid contexts, and they tell a complex story. One series of studies in tetraploid rye used chromosomes with heterochromatic "C-bands" as visible cytological markers to test whether chromosomes prefer to partner with identical or similar chromosomes when brought together in hybrids. The outcome depended on where the marker is located: A tetraploid heterozygote (AABB) for a telomeric C-Band region shows either random association or a preference for identical over homologous chromosomes, while individuals heterozygous for chromosomes with a centromere-proximal C band show preferential recombination of homologs over identical partners (Santos et al. 1983;Orellana 1989, 1991). In another set of studies, hybrids with more divergent parents showed a tendency to prefer identical over homeologous partners, but not always (Benavente and Orellana 1991;Benavente and Sybenga 2004). In A. thaliana neotetraploids, a similar experiment showed there can be differences among chromosomes within an individual: In inter-accession hybrid neo-polyploids, one chromosome had no partner preference at all, while another had a preference for partnering homologous over identical chromosomes (Parra-Nunez et al. 2018). In maize, genetic crosses between two neo-tetraploid lines created from genome duplication of two different strains that were triploid for one chromosome (AAB) were used to test for recombination partner preferences (Braz et al. 2021). Though the chromosomes from the two strains can recombine in a diploid context, suggesting they have not exceeded some differentiation tolerance threshold, there is a tendency for the chromosomes from the same genetic background to recombine preferentially (Braz 1 3 et al. 2021). The authors conclude from this that there is an innate tendency for a chromosome to associate with a more similar partner even when a genetic locus that suppresses homeologous pairing is lacking. However, maize has a polyploid history, so it is also conceivable that it previously adapted to polyploid meiosis, and that it retained at least some of that evolved choosiness. A very interesting point from this study, is that since the chromosomes from these two strains can in principle recombine, it seems to be the difference in divergence among the different available partners, and not a specific hard threshold, that is somehow being recognized to determine recombination partner choice.
Taken in aggregate, the above results suggest that variation in levels of polymorphism along chromosomes can dictate partner preferences, and also that homologous recombination may prefer some intermediate level of polymorphism, such that both too much, or too little polymorphism can inhibit progression to crossover formation. Whether there are generally set thresholds in allopolyploids, or chromosomes are somehow "assessed and compared" is not clear. Understanding how the sensitivity of partner choice is tuned to new sensitivities in allopolyploids will provide interesting new insights into how exactly DNA sequence polymorphism is measured and responded to during recombination partner choice.

Box 2: Preferential pairing versus preferential recombination
The phrase "pairing preference" is common in the allopolyploid literature, but when the phrase was first coined, "pairing" was considered synonymous to associations observed in metaphase I . Now "pairing" refers to the initial recognition and co-alignment of homologous chromosomes, which occurs much earlier Kleckner 2015, 2016). As a result, nowadays, the implication of the continued use of the phrase "pairing preference," is that it is the acceptance or rejection of strand invasion that mediates homolog-specificity in allopolyploids. This may be the case sometimes, but in many systems it is either not known, or the available evidence suggests otherwise. In many allopolyploid species with stable disomic inheritance, pre-synaptic alignment of all homologs and homeologs is observed (e.g . Hobolth 1981;Loidl 1986;Rasmussen 1987;Davies et al. 1990;Jones and Vincent 1994;Khazanehdari et al. 1995;Stack and Roelofs 1996), suggesting that initial pairing interactions occur indiscriminately, at least in these systems. Afterwards, nascent pre-recombination interactions only mature into crossovers on more similar bivalents, suggesting the decision point actually comes during crossover maturation (e.g. Hobolth 1981;Loidl 1986;Rasmussen 1987;Davies et al. 1990;Jones and Vincent 1994;Khazanehdari et al. 1995;Stack and Roelofs 1996), when pairing is already firmly established (Bishop and Zickler 2004). This conclusion is further supported by the genes identified as important for preventing homeologous recombination, most of which function in some aspect of recombination maturation, though the rice MND1 story may be an example of true "preferential pairing". In any case, it cannot be a priori assumed that it is pairing per se that is affected without further molecular analysis. I would therefore advocate using the phrase "pairing preference" only in those cases where it has been specifically molecularly demonstrated. As has also been suggested elsewhere (Parra-Nunez et al. 2018), I will use phrases like "recombination partner choice," intending this to refer to the final outcome in metaphase I and agnostic as to the actual stage in the process of pairing or recombination maturation that is affected.

Autopolyploid problems and solutions to meiosis
Autopolyploids face a distinct challenge relative to allopolyploids as they do not have differentiated sub-genomes, and generally lack recombination partner preferences. Somehow these species must sort and recombine four or more highly similar homologous chromosomes during prophase I, and come out the other end (in metaphase I) with a viable array for chromosome segregation. In most neo-autopolyploids, there are rampant problems: Multivalents (associations among three or more of the available homologs during prophase I; Fig. 3) are common and often persist to metaphase I, synapsis is often incomplete, univalents are common, laggards and bridges indicative of segregation problems are observed in anaphase I and II, and production of aneuploid gametes is common (e.g. Simonsen 1975;Weiss and Maluszynska 2000;Ramsey and Schemske 2002;Santos et al. 2003;Morgan, et al. 2021). In many neo-autotetraploids, multivalent frequency correlates negatively with fertility and can be selected against (e.g. Gilles and Randolph 1951;Bremer and Bremer-Reinders 1954;Hilpert 1957;Swaminathan and Sulbha 1959), but there is evidence, at least in grasses, that trivalent / univalent combinations are especially problematic (e.g. Myers 1945;McCollum 1957;Hazarika and Rees 1967;Crowley and Rees 1968;Simonsen 1975). For an unknown reason, problems in neopolyploid meiosis, at least in Phlox, seem to be worse in male than female meiosis, perhaps because female meiosis takes 1 3 longer, leaving more time to correct entanglements, multivalents or univalents (Koul and Raina 1996).
As with allopolyploids, meiotic problems are rare in established autopolyploids, showing they too can evolve solutions. In most stable, established autopolyploid species, chromosomes associate primarily or exclusively as bivalents by metaphase I, but they do so without preference for particular partners, that is, they have polysomic inheritance and thus a distinct solution from that found in allopolyploids (e.g. Dawson 1941;Soltis and Rieseberg 1986;Rieseberg and Doyle 1989;Wolf et al. 1989;Qu and Hancock 1995;Hollister et al. 2012). Results from established tetraploids are consistent with the existence of genetic "multivalent suppression" systems (e.g. Hazarika and Rees 1967;Watanabe 1983), but it seems the chromosome segregation issues associated with multivalents can be solved either by increasing quadrivalent frequency at the expense of trivalent/univalent frequency (reported so far only in grasses), or increasing bivalent frequency at the expense of all types of multivalents, including trivalent/univalent combinations (common in other taxa) (Fig. 3). Despite having mostly bivalents in metaphase I, many established autopolyploids co-align all of the homologs early in prophase I and form synaptic multivalents in zygotene and pachytene, but the majority resolve before metaphase I (e.g . Hobolth 1981;Loidl 1986;Jenkins et al. 1988;Davies et al. 1990;Jones and Vincent 1994;Sybenga et al. 1994;Khazanehdari et al. 1995;Stack and Roelofs 1996;Morgan, et al. 2021). There has been speculation for many years that the dissolution of pachytene multivalents before metaphase I could involve increased crossover interference, a reduction in number of crossovers, and/or a redistribution of crossover events (e.g. Jenkins et al. 1988;Jones and Vincent 1994;Khazanehdari et al. 1995;Stack and Roelofs 1996;Bomblies et al. 2016). Detailed recent analyses have refined this view (Morgan et al. 2021). One effective way to reduce multivalents is to decrease crossing over, ideally to one event per chromosome (e.g. Watanabe 1983;Lavania 1986;Bomblies et al. 2016). Indeed, quadrivalent frequencies correlate positively with crossover frequency (Hazarika and Rees 1967), and low diploid chiasma frequency correlates with high fertility in neo-tetraploids derived from those genotypes (e.g. Hazarika and Rees 1967;Lavania 1986Lavania , 1991Srivastava et al. 1992).
Recent work in autotetraploid Arabidopsis arenosa (a relative of the widely used model A. thaliana that exists in nature as both a diploid, and a meiotically stable autotetraploid estimated to be about 30,000 generations old ) comparing diploid, neo-tetraploids and established tetraploids, provided evidence as to what both a challenge and a solution to autopolyploid meiosis can look like cytologically and molecularly. The data suggest that the meiotic stability of the tetraploid involves more than just a simple reduction in crossover number though autotetraploid A. arenosa does have reduced crossover number (relative to the neo-tetraploid). The established tetraploid also has shorter axis / synaptonemal complex length (Morgan et al. 2021). Across species, when DNA length is constant, synaptonemal complex length and recombination frequency are correlated (Kleckner et al. 2003). Thus, decreased axis length in the evolved tetraploids may be favored to help reduce crossover numbers (Morgan et al. 2021). In A. arenosa there is also a stronger bias in the established tetraploid towards crossover positioning on pachytene multivalents that yields bivalents in metaphase I (an effect mediated by crossover interference) than in the neotetraploid (Morgan et al. 2021; Fig. 3B). This stronger bias is likely accomplished through a strengthening of crossover interference, which could prevent additional crossovers from occurring elsewhere on any members of a Fig. 3 Structure of pachytene quadrivalents in polyploids and outcomes of crossover positioning. (A) Overview of structure of pachytene, or synaptic, multivalents commonly observed in polyploid meiosis. These arise when pairing and synapsis start at or near chromosome ends and progress inwards. When the chromosome ends pair, or begin the process of recombination, with different partners (designated H1-H4) at different sites, this forces a synaptic partner switch (SPS) in between. These sites are often accompanied by surrounding regions of asynapsis. Synapsis can either initiate from developing crossovers (solid red circles at left) or from synaptic initiation sites that do not develop true crossover events (transparent circles at right). (B) Crossover distribution on pachytene mutivalents dictates their metaphase I outcome, because in late pachytene, when the synaptonemal complex is removed, only crossover events hold chromosomes together. Top panel: If two crossovers occur on opposing sides of an SPS, three chromosomes are linked, and one is left as a univalent. Middle panel: If two crossovers are on the same side of an SPS, as is observed more commonly in established tetraploid A. arenosa than in neotetraploids, the result is stable formation of two bivalents. Bias toward the desirable configuration can be achieved by increased crossover interference, allowing the crossovers at left in this example to influence the rest of both the chromosomes they link such that no additional crossovers form in the regions at right. Bottom panel: If more crossovers occur, they are generally placed such that quadrivalents form, which at least in some species can yield stable chromosome segregation and minimizes the occurrence of univalents (see text) 1 3 pachytene quadrivalent that already sustained one crossover (see Fig. 3B for explanation).
Because increased crossover interference efficiency simplifies crossover patterns along single chromosomes, the A. arenosa solution should in principle work no matter how many chromosomes are present. Consistent with this hypothesis, when diploid A. arenosa was doubled twice to an octoploid state, multivalents, univalents, and asynapsis were even more rampant than in neo-tetraploids, while doubling an established tetraploid to a neo-octaploid yielded few multivalents, near complete synapsis, and little or no missegregation (Morgan et al. 2021). A similar pattern has also been reported in Chrysanthemum (Watanabe 1983). These findings suggest that adapting to polyploidy can serve as a pre-adaptation for successful meiosis at higher ploidies; the model described in A. arenosa suggests how this can be accomplished.

The molecular solution(s)
Arabidopsis arenosa: Compared to allotetraploids, we know far less about the molecular mechanisms underlying stabilization of autotetraploid meiosis. Only A. arenosa has been analyzed in functional / molecular detail. Several genome scan studies of selection in the meiotically stable tetraploid lineage of A. arenosa identified a number of candidate genes for meiotic stabilization, which hint that this is a multigenic adaptation. Signatures of selection and differentiation were observed in genes encoding the axis proteins ASY1 and ASY3 (homologs of yeast Hop1 and Red1), the meiotic cohesin subunit REC8, the cohesin regulators PDS5, SCC2, SCC3 and SWI1, and the ZMM protein and synaptonemal complex central element ZYP1 (Hollister et al. 2012;Yant et al. 2013). All of the encoded proteins have multiple amino acid polymorphisms differentiating diploid and tetraploid alleles (Hollister et al. 2012;Yant et al. 2013;Wright et al. 2015) and most of these seem to have arisen de novo in the tetraploid lineage (Bohutinska et al. 2021a, b).
As mentioned before, we cannot speculate too confidently on untested candidates identified in genome scans for selection, but three candidate genes in A. arenosa have been functionally followed up. Genetic and cytological studies on plants segregating diploid versus tetraploid alleles of REC8, ASY1 and ASY3 have shown that the tetraploid alleles of these genes contribute to traits associated with meiotic stability in A. arenosa, such as reduced multivalent frequency (ASY1 and ASY3 only), reduced univalent frequency (REC8 only), reduced axis length (all three, but especially ASY1 and ASY3), increased crossover interference efficiency as evidenced by a stronger bias for a "good" (bivalent-favoring/ non-multivalent or univalent-forming; see Fig. 3B) crossover arrangement on pachytene quadrivalents (ASY1 and ASY3) (Morgan et al. 2020(Morgan et al. , 2022. Both ASY1 and ASY3, like their yeast homologs Hop1 and Red1, are important for directing repair partner choice to homologs, and thus modulating them could affect the proportion of recombination events that mature into interhomolog vs. intersister and crossover vs. non-crossover exchanges (Schwacha and Kleckner 1997;Ferdous et al. 2012). Red1 in yeast has also been implicated in crossover interference (Zhang et al. 2014a, b, c, d), providing another possible mechanism relevant to the tetraploids, where interference efficiency increased (Morgan et al. 2021). That the structure of the axis may have changed in tetraploid A. arenosa is an appealing model, especially considering the possible role of the axis in providing the substrate for a chromosome tension-based model of crossover interference (Zhang et al. 2014a, b).
That the synaptonemal complex protein ZYP1 seems to have been under selection in autotetraploid A. arenosa (Yant et al. 2013;Bohutinska et al. 2021b) is also intriguing. In yeast and other organisms, the homologous protein Zip1 has separable critical roles in Class I crossover formation and synaptonemal complex assembly (Borner et al. 2004;de Boer and Heyting 2006;Voelkel-Meiman et al. 2015), and this dual function is also conserved in plants (Higgins et al. 2005;France et al. 2021). ZYP1 has also recently been proposed to be essential for crossover interference in A. thaliana, which was interpreted as meaning the synaptonemal complex mediates interference (Capilla-Perez et al. 2021;France et al. 2021). This may be, but in A. arenosa tetraploids, it is clear that the interference signal does not require a continuous synaptonemal complex (Morgan et al. 2021). In this regard, it is interesting that localization of MSH4 to chromosomes in yeast also depends on Zip1 (Novak et al. 2001;Shinohara et al. 2008), and in barley, ZIP1, while not strictly required for MSH4 localization, is nevertheless required for the maintenance of MSH4 foci (Barakate et al. 2014). These results link ZIP1 directly with MSH4, which in A. thaliana and in rice regulates crossover interference as well as crossover fate decisions prior to synaptonemal complex formation (Higgins et al. 2008;Zhang et al. 2014a, b, c, d). If the derived allele of ZYP1 in A. arenosa established tetraploids is important for the increased crossover interference strength in the established tetraploid, it might be this earlier role of ZIP1 in Class I interfering crossover regulation (and perhaps specifically MSH4 recruitment) that was modified by selection. Other proteins under selection also raise interesting hypotheses, for example, PDS5 is known in yeast and mice to also affect axis length and recombination patterns (Viera et al. 2020;Song et al. 2021). What roles ZYP1, PDS5 and the other genes showing evidence of selection (mostly cohesin components), remains to be tested.
Repeatability: As described above, the cytological solutions across different autopolyploids may be quite similar, but how repeatable the molecular basis is, is almost entirely 1 3 unknown. There is now another published genome scan for selection in Cardamine amara (Bohutinska et al. 2021a), which is thought to be an autotetraploid (Marhold et al. 2002), and its closest diploid relative. There is little overlap between genes identified in the C. amara screen and those identified in A. arenosa, but the authors did find ploidydifferentiated amino acids in the same PDS5 paralog under selection in A. arenosa and in ASY3 (Bohutinska et al. 2021a). Interestingly, there is also evidence for differentiation at MSH6, which in A. thaliana functions together with MSH2 in mismatch recognition and repair  and plays a role in preventing ectopic recombination among non-homologous sequences (Gonzalez and Spampinato 2020). Whether MSH6 plays a role in meiotic stabilization in C. amara is untested, but if it does, it would hint that it may have a more "allopolyploid-like" solution. For this reason, it will be critical to test the inheritance mode of this material in addition to testing the effects of alternate alleles of candidate genes on meiosis.

Getting over the early phase
One question that comes up frequently is how polyploid lineages ever make it through the early unstable stages that studies on neopolyploids suggest they experience. The answer is admittedly unclear. We know they do make it-but don't really understand how. Two key things may contribute to early survival of polyploid lineages: Standing variation in diploids: There is evidence, for example in the B. napus experiments described above, that standing allelic variation present in diploids can contribute to allo-polyploid stability, and that diploids with low crossover rates could be "pre-adapted" to autopolyploid meiosis (Murray et al. 1984;Srivastava et al. 1992;Jenczewski et al. 2002). In A. arenosa, while most of the selected polymorphisms likely arose de novo, there is evidence that an allele "part-way" to the tetraploid allele for one gene existed already in diploid A. arenosa (Bohutinska et al. 2021b). These results hint that some diploids may be more likely to give rise to a successful polyploids than others. When we create neopolyploids in the lab, we may be seeing a particularly dire picture-it may represent the average, but not necessarily the exact scenario that was relevant to the particular lineage that survived. Such standing variants could potentially provide neo-polyploids with enough fertility to survive long enough to allow subsequent evolutionary fine-tuning.
Rapid meiotic stabilization of polyploids: One of the big mysteries surrounding polyploids is something that may also be important in their early evolution-the rapid partial stabilization of meiosis observed in some systems. Though they do not generally reach the same level as a fully evolved line, meiotic stability and fertility of both neo-auto-and neo-allo-polyploids can increase noticeably after one or just a few generations, with or without direct selection for fertility and/or euploidy (e.g. Crowley and Rees 1968;Jauhar 1970;Weiss and Maluszynska 2000;Santos et al. 2003;Ferreira de Carvalho et al. 2021). Speaking against segregating standing variation in the parental gene pools being responsible for this effect, rapid partial stabilization is also observed in homozygous neotetraploid A. thaliana (Weiss and Maluszynska 2000;Santos et al. 2003). The rapidity of these effects (usually less than 10 or 15 generations) also largely rules out accumulation of de novo mutations. Perhaps this type of stabilization comes instead from epigenetic modifications. As with standing variation, rapid stabilization is not generally complete, but it may afford a neopolyploid a window of opportunity to overcome some of the earliest meiotic hurdles well enough to allow the slower process of genic evolution to solidify appropriate adaptations.

Conclusions
Polyploids provide a context that can help us not only understand polyploids themselves, but also fundamental questions in meiosis, such as (i) how crossover interference is established and modified, (ii) how polymorphisms are "measured" and possibly compared among recombination partners to regulate homologous recombination maturation decisions, and (iii) how the sensitivity of mismatch recognition can be tuned (to name just a few). In terms of repeatability and predictability of the polyploid meiotic stabilization process, the molecular characterizations described above suggest that autopolyploids and allopolyploids (defined in terms of chromosome segregation behavior, not necessarily their ancestry) reliably target different aspects of meiosis that are repeatable within a type.
For allopolyploids, multivalent formation and homeologous recombination among chromosomes from different subgenomes are clearly big challenges. In established allopolyploids, this problem seems to be solved primarily by causing chromosomes within sub-genomes to preferentially recombine and segregate in meiosis I, and to avoid recombination with homeologs (what has in the literature often been referred to as a "pairing preference", but see Box 2). So far, all known loci that cause recombination partner preferences affect either the fidelity of initial strand invasion, or the pickiness of partner choice in later stages of crossover maturation. That the molecular machines affecting these decisions are sensitive to polymorphism has long been clear, but learning how that sensitivity can be tuned is an exciting insight that might come from further mechanistically exploring this molecular feat that polyploids have accomplished.

3
For autopolyploids, the biggest problem seems to be the generation of multivalents among the possible homologs, particularly trivalent/univalent combinations, which have the greatest negative effect on fertility. In established autopolyploids, chromosome pairing and the earliest stages of recombination do not appear in most cases to be altered relative to the situation in Neo-polyploids, since 4-way co-alignment of axes and multivalents in pachytene are common. However, pachytene multivalents are not necess1arily maintained to metaphase I; their fate depends on crossover patterning and perhaps crossover interference, both of which have been altered in autopolyploids to bias outcomes in favor of configurations that will yield stable segregation. Whether other systems employ the same or different molecular mechanisms as A. arenosa will be an exciting question to explore. We also know that autopolyploid adaptation to meiosis can involve either a decrease or an increase in quadrivalent frequency, and both can help prevent univalents. Whether these distinct solutions employ related or completely different adaptations will also be interesting to explore. Another area where autopolyploids will provide important insights is in understanding how and why crossover interference strength can be modified.
There has been exciting progress in understanding the molecular basis of polyploid meiotic stabilization, but many important and interesting questions remain about how stable meiosis can be achieved when the rule that each homolog has one partner available for pairing and recombination is broken. Solving the issue of low fertility arising from meiotic problems in neo-polyploids is also an important first step for capitalizing on the high stress resilience of polyploids in novel agricultural solutions that are necessary in the face of climate change.
Funding Open access funding provided by Swiss Federal Institute of Technology Zurich.
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